From 1154b71d88af03eee998d50d6b8286eda229e45d Mon Sep 17 00:00:00 2001
From: John Murphy <johnwmurphy@gmail.com>
Date: Thu, 28 Sep 2017 20:43:40 -0700
Subject: [PATCH] Background, particles, and timer added

---
 Computer Speak v0.3.ttf        |  Bin 0 -> 17412 bytes
 Level.tscn                     |   90 +-
 Rocket.tscn                    |   44 +-
 computerspeakfont.fnt          |  Bin 0 -> 10674 bytes
 computerspeakfont.inc          | 5401 ++++++++++++++++++++++++++++++++
 computerspeakfont.sv.png       |  Bin 0 -> 5266 bytes
 computerspeakfont.sv.png.flags |    1 +
 engine.cfg                     |    5 +-
 rocket-297573-800px.png        |  Bin 54108 -> 0 bytes
 rocket.gd                      |    8 +-
 rocket.png                     |  Bin 0 -> 64233 bytes
 starfield_with_sun.jpg         |  Bin 0 -> 71466 bytes
 sun.jpg                        |  Bin 115000 -> 167879 bytes
 timelabel.gd                   |   16 +
 14 files changed, 5544 insertions(+), 21 deletions(-)
 create mode 100644 Computer Speak v0.3.ttf
 create mode 100644 computerspeakfont.fnt
 create mode 100644 computerspeakfont.inc
 create mode 100644 computerspeakfont.sv.png
 create mode 100644 computerspeakfont.sv.png.flags
 delete mode 100644 rocket-297573-800px.png
 create mode 100644 rocket.png
 create mode 100644 starfield_with_sun.jpg
 create mode 100644 timelabel.gd

diff --git a/Computer Speak v0.3.ttf b/Computer Speak v0.3.ttf
new file mode 100644
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diff --git a/Level.tscn b/Level.tscn
index 65d20a8..3d2e01f 100644
--- a/Level.tscn
+++ b/Level.tscn
@@ -1,31 +1,99 @@
-[gd_scene load_steps=6 format=1]
+[gd_scene load_steps=9 format=1]
 
 [ext_resource path="res://Level.gd" type="Script" id=1]
-[ext_resource path="res://starfield.jpg" type="Texture" id=2]
-[ext_resource path="res://Earth.tscn" type="PackedScene" id=3]
-[ext_resource path="res://Rocket.tscn" type="PackedScene" id=4]
-[ext_resource path="res://Moon.tscn" type="PackedScene" id=5]
+[ext_resource path="res://computerspeakfont.fnt" type="BitmapFont" id=2]
+[ext_resource path="res://timelabel.gd" type="Script" id=3]
+[ext_resource path="res://sun.jpg" type="Texture" id=4]
+[ext_resource path="res://Earth.tscn" type="PackedScene" id=5]
+[ext_resource path="res://Rocket.tscn" type="PackedScene" id=6]
+[ext_resource path="res://Moon.tscn" type="PackedScene" id=7]
+
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+
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6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 8, 8, 8, 5, 3, 1, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 3, 3, 3, 3, 4, 5, 6, 6, 4, 3, 5, 7, 8, 8, 8, 7, 9, 6, 8, 6, 18, 10, 7, 8, 7, 6, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 3, 4, 5, 8, 9, 8, 6, 9, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 6, 7, 6, 5, 6, 7, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 7, 7, 5, 4, 5, 7, 8, 10, 21, 57, 41, 22, 1, 14, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 3, 3, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 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4, 4, 4, 4, 5, 5, 17, 6, 8, 2, 17, 70, 28, 10, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 5, 6, 2, 1, 18, 39, 10, 9, 6, 4, 3, 4, 5, 6, 4, 4, 4, 4, 5, 6, 7, 8, 7, 6, 5, 6, 8, 8, 6, 3, 3, 5, 6, 5, 4, 3, 4, 6, 5, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 14, 8, 7, 8, 6, 13, 17, 13, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 6, 7, 8, 6, 6, 4, 4, 4, 4, 6, 6, 3, 3, 5, 5, 5, 5, 3, 3, 3, 3, 5, 5, 5, 5, 3, 3, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 6, 5, 5, 6, 7, 6, 6, 5, 4, 4, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 1, 3, 6, 7, 4, 1, 4, 5, 5, 6, 6, 7, 7, 8, 6, 3, 1, 1, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 2, 2, 4, 6, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 4, 4, 4, 3, 3, 3, 0, 20, 11, 7, 9, 6, 10, 2, 5, 4, 3, 5, 7, 9, 8, 7, 6, 5, 5, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 4, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 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4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 3, 4, 5, 5, 4, 2, 5, 4, 3, 2, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 0, 2, 5, 5, 2, 1, 3, 5, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 2, 4, 7, 9, 6, 4, 5, 0, 10, 4, 18, 0, 4, 0, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 8, 9, 10, 10, 7, 6, 6, 5, 5, 4, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 7, 6, 6, 5, 5, 6, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 3, 2, 3, 5, 8, 10, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 3, 2, 6, 7, 5, 3, 5, 5, 5, 5, 5, 6, 7, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 6, 3, 4, 5, 6, 5, 4, 2, 1, 7, 6, 6, 5, 5, 6, 6, 7, 3, 3, 3, 3, 3, 3, 3, 3, 0, 8, 25, 2, 0, 37, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 8, 7, 0, 0, 26, 59, 12, 9, 6, 3, 2, 3, 5, 7, 3, 3, 3, 4, 5, 6, 8, 9, 8, 6, 5, 6, 8, 8, 5, 2, 3, 4, 5, 5, 3, 2, 4, 5, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 9, 4, 5, 10, 5, 11, 9, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 4, 3, 3, 4, 6, 7, 2, 3, 5, 6, 6, 5, 3, 2, 2, 3, 5, 6, 6, 5, 3, 2, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 7, 5, 3, 2, 6, 9, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 3, 4, 6, 7, 8, 7, 7, 6, 7, 7, 6, 5, 4, 4, 4, 4, 9, 6, 3, 4, 7, 10, 9, 8, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 2, 6, 9, 10, 8, 4, 1, 0, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 7, 7, 5, 4, 3, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 9, 9, 7, 6, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 7, 6, 3, 0, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 7, 6, 5, 5, 6, 6, 4, 1, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 11, 7, 5, 8, 8, 4, 2, 3, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 7, 8, 8, 9, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 6, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 8, 9, 9, 9, 9, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 4, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 10, 5, 12, 10, 1, 14, 15, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 5, 3, 3, 5, 7, 2, 7, 8, 5, 8, 16, 19, 17, 8, 7, 7, 6, 5, 5, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 3, 2, 3, 7, 8, 7, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 4, 4, 4, 4, 4, 1, 2, 4, 5, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 3, 3, 2, 5, 4, 3, 3, 5, 5, 4, 3, 5, 5, 5, 5, 4, 3, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 7, 6, 5, 5, 6, 8, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 5, 4, 4, 4, 4, 4, 7, 6, 3, 1, 1, 2, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 2, 4, 12, 5, 0, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 5, 7, 9, 11, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 16, 0, 22, 20, 0, 13, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 14, 5, 3, 9, 9, 1, 0, 7, 8, 8, 8, 6, 3, 3, 5, 6, 5, 6, 7, 8, 8, 8, 8, 8, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 6, 5, 4, 3, 3, 3, 3, 4, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 5, 6, 7, 7, 6, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 9, 6, 4, 4, 7, 9, 9, 8, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 7, 8, 7, 6, 5, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 6, 6, 5, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 7, 7, 6, 6, 6, 9, 8, 6, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 7, 10, 10, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 6, 5, 4, 5, 6, 6, 4, 2, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 8, 4, 3, 5, 6, 3, 3, 6, 5, 5, 6, 6, 6, 5, 4, 4, 7, 7, 7, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 0, 2, 11, 0, 35, 0, 1, 7, 6, 6, 5, 5, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 3, 7, 7, 5, 6, 12, 13, 11, 7, 6, 5, 5, 5, 6, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 2, 3, 6, 7, 6, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 2, 3, 4, 5, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 5, 4, 3, 3, 5, 5, 4, 3, 4, 5, 5, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 6, 5, 4, 3, 5, 7, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 6, 6, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 5, 3, 10, 10, 8, 15, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 5, 6, 8, 9, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 13, 5, 1, 0, 1, 10, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 41, 23, 9, 7, 6, 1, 1, 6, 2, 4, 6, 8, 8, 6, 4, 2, 4, 4, 5, 6, 7, 7, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 5, 5, 4, 3, 3, 3, 4, 6, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 3, 5, 5, 4, 4, 4, 5, 6, 6, 8, 6, 4, 5, 7, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 9, 6, 3, 4, 7, 9, 8, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 8, 9, 9, 8, 6, 6, 7, 6, 5, 4, 3, 3, 3, 3, 5, 5, 5, 4, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 4, 5, 5, 4, 3, 2, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 8, 8, 7, 6, 4, 3, 2, 2, 5, 5, 5, 7, 9, 10, 9, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 5, 4, 4, 5, 7, 7, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 2, 2, 4, 5, 3, 4, 8, 4, 4, 5, 6, 6, 6, 5, 5, 9, 8, 6, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 12, 14, 6, 21, 155, 57, 10, 8, 7, 6, 6, 6, 6, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 7, 7, 6, 4, 4, 5, 4, 7, 7, 5, 5, 7, 6, 3, 7, 4, 2, 3, 6, 8, 6, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 3, 5, 6, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 9, 9, 8, 8, 7, 6, 6, 6, 2, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 6, 4, 3, 4, 5, 6, 5, 3, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 3, 4, 4, 5, 5, 4, 4, 3, 3, 5, 6, 5, 3, 3, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 0, 2, 3, 5, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 19, 28, 19, 4, 3, 5, 5, 9, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 6, 7, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 0, 8, 23, 7, 5, 19, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 35, 16, 0, 0, 4, 4, 4, 8, 11, 8, 6, 6, 8, 8, 5, 2, 3, 3, 4, 5, 5, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 7, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 2, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 5, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 6, 6, 7, 8, 20, 13, 5, 2, 4, 6, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 6, 6, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 10, 10, 8, 6, 5, 6, 5, 4, 3, 3, 3, 3, 3, 6, 6, 5, 5, 6, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 5, 7, 7, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 8, 6, 5, 5, 6, 5, 3, 1, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 4, 3, 3, 5, 7, 8, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 5, 9, 8, 3, 3, 6, 3, 3, 4, 5, 6, 6, 6, 6, 8, 6, 4, 2, 1, 2, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 0, 11, 10, 0, 23, 166, 75, 13, 7, 6, 6, 5, 5, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 7, 8, 7, 5, 4, 4, 4, 5, 6, 6, 6, 5, 3, 1, 6, 3, 1, 3, 7, 9, 6, 2, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 10, 9, 9, 8, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 6, 6, 5, 3, 4, 6, 6, 5, 4, 4, 4, 6, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 6, 7, 7, 5, 4, 4, 5, 6, 5, 4, 4, 4, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 5, 4, 4, 4, 5, 6, 2, 3, 4, 5, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 21, 36, 27, 5, 0, 1, 0, 0, 8, 8, 7, 6, 6, 7, 8, 8, 7, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 12, 16, 14, 8, 3, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 0, 0, 1, 6, 6, 4, 5, 30, 20, 8, 2, 3, 6, 8, 7, 3, 4, 5, 5, 5, 5, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 5, 5, 5, 4, 4, 4, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 6, 6, 5, 4, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 7, 7, 7, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 3, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 2, 2, 3, 5, 6, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 5, 6, 7, 6, 6, 5, 5, 6, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 6, 6, 7, 8, 24, 15, 6, 2, 3, 5, 3, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 5, 6, 6, 7, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 8, 9, 9, 8, 6, 4, 5, 5, 4, 3, 3, 3, 4, 4, 6, 6, 5, 5, 6, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 5, 7, 8, 8, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 3, 4, 4, 5, 5, 6, 6, 7, 8, 6, 4, 4, 5, 5, 4, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 4, 3, 3, 5, 7, 8, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 11, 15, 12, 4, 1, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 2, 1, 1, 3, 6, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 6, 6, 9, 10, 45, 19, 11, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 1, 4, 7, 8, 7, 5, 4, 4, 4, 4, 5, 7, 7, 5, 4, 4, 6, 4, 3, 5, 8, 8, 5, 2, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 5, 4, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 6, 6, 5, 4, 4, 6, 7, 5, 4, 4, 4, 6, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 8, 9, 9, 7, 5, 5, 6, 6, 6, 5, 4, 4, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 6, 5, 4, 4, 4, 5, 6, 6, 7, 6, 5, 4, 5, 8, 10, 12, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 20, 17, 2, 2, 7, 5, 6, 8, 8, 7, 6, 6, 7, 8, 8, 6, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 11, 20, 78, 76, 16, 8, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 6, 9, 7, 3, 1, 3, 30, 20, 8, 2, 3, 6, 8, 7, 5, 5, 6, 6, 6, 6, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 9, 9, 8, 6, 4, 3, 2, 1, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6, 7, 6, 5, 4, 3, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 7, 7, 7, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 3, 4, 5, 6, 7, 5, 5, 4, 4, 4, 5, 6, 6, 4, 6, 8, 7, 5, 4, 4, 5, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 15, 10, 5, 3, 4, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 6, 7, 8, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 7, 7, 7, 7, 5, 4, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 7, 8, 8, 7, 6, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 2, 2, 3, 4, 6, 7, 8, 8, 7, 6, 4, 5, 7, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 5, 4, 4, 5, 7, 7, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 13, 17, 13, 4, 1, 3, 4, 4, 5, 6, 6, 6, 5, 5, 3, 3, 2, 2, 3, 5, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 11, 16, 9, 10, 12, 0, 13, 10, 4, 4, 3, 2, 2, 3, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 2, 5, 7, 7, 6, 4, 4, 5, 5, 3, 4, 7, 8, 5, 5, 7, 5, 6, 8, 8, 7, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 4, 3, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 3, 2, 2, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 7, 5, 4, 5, 6, 7, 6, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 7, 9, 11, 11, 8, 6, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 7, 7, 6, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 9, 7, 5, 4, 4, 7, 10, 12, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 8, 8, 1, 5, 8, 5, 7, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 3, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 1, 11, 20, 98, 96, 16, 9, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 6, 1, 0, 4, 9, 11, 8, 6, 6, 8, 8, 5, 2, 6, 6, 6, 7, 6, 6, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 10, 10, 8, 7, 5, 3, 2, 1, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 6, 7, 8, 7, 6, 4, 3, 5, 5, 5, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 7, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 3, 4, 5, 7, 8, 10, 6, 6, 5, 4, 4, 4, 5, 5, 3, 6, 8, 8, 5, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 5, 6, 6, 7, 4, 4, 6, 6, 6, 6, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 3, 3, 4, 6, 7, 9, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 3, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 8, 6, 4, 5, 7, 9, 10, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 6, 5, 4, 5, 6, 6, 4, 2, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 11, 14, 9, 3, 3, 7, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 4, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 1, 11, 1, 0, 9, 6, 24, 0, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 6, 6, 4, 4, 5, 6, 8, 4, 3, 6, 6, 3, 3, 7, 5, 10, 13, 12, 7, 3, 3, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9, 8, 5, 4, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 2, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 4, 4, 4, 4, 3, 3, 7, 6, 5, 5, 7, 7, 6, 5, 4, 5, 5, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 8, 11, 11, 8, 5, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 7, 7, 7, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 8, 5, 3, 8, 4, 0, 3, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 5, 6, 5, 4, 3, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 12, 5, 0, 21, 19, 0, 3, 12, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 1, 1, 3, 7, 9, 2, 4, 6, 8, 8, 6, 4, 2, 5, 5, 5, 5, 5, 4, 3, 2, 4, 4, 5, 5, 5, 5, 4, 4, 8, 8, 7, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 7, 8, 8, 6, 4, 3, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 4, 3, 3, 4, 5, 8, 10, 12, 7, 7, 6, 5, 4, 4, 4, 4, 3, 6, 9, 8, 5, 2, 3, 4, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 2, 4, 6, 6, 5, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 3, 3, 4, 6, 8, 9, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 5, 7, 6, 6, 5, 5, 6, 7, 7, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 6, 7, 8, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 10, 7, 4, 3, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 7, 6, 5, 5, 6, 6, 4, 1, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 2, 3, 3, 4, 4, 5, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 8, 9, 5, 1, 5, 12, 6, 6, 6, 6, 5, 4, 3, 3, 6, 6, 6, 6, 6, 4, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 2, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 7, 6, 11, 11, 0, 2, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 6, 6, 5, 3, 3, 5, 7, 10, 4, 2, 5, 4, 0, 1, 6, 6, 12, 17, 14, 7, 2, 3, 6, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 10, 9, 6, 4, 5, 8, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 2, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 3, 3, 2, 7, 6, 5, 5, 7, 7, 6, 5, 5, 5, 5, 5, 4, 3, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 7, 10, 10, 7, 4, 3, 2, 7, 6, 6, 5, 5, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 7, 7, 7, 7, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 5, 7, 7, 3, 4, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 2, 3, 3, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 1, 3, 11, 5, 0, 7, 6, 5, 5, 4, 4, 5, 5, 6, 2, 3, 5, 5, 6, 5, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 1, 4, 17, 10, 8, 13, 2, 1, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 6, 8, 8, 4, 0, 8, 8, 8, 6, 3, 3, 5, 6, 4, 4, 4, 4, 3, 2, 1, 1, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 6, 6, 6, 7, 7, 7, 3, 3, 4, 5, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 8, 9, 8, 6, 4, 3, 4, 4, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 7, 7, 8, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 1, 1, 3, 5, 7, 7, 4, 2, 2, 3, 5, 7, 8, 7, 5, 4, 2, 2, 3, 4, 6, 7, 8, 8, 8, 7, 5, 4, 3, 4, 5, 6, 6, 6, 6, 6, 6, 5, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 4, 3, 4, 5, 6, 5, 5, 4, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 6, 6, 5, 4, 3, 1, 3, 5, 4, 3, 3, 5, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 8, 7, 4, 3, 6, 5, 2, 5, 6, 6, 7, 7, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 4, 5, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 6, 7, 7, 7, 7, 6, 2, 3, 5, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 8, 9, 11, 11, 11, 10, 8, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 0, 0, 1, 1, 0, 13, 11, 8, 5, 4, 4, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 3, 4, 5, 5, 3, 3, 4, 5, 7, 6, 4, 4, 4, 4, 6, 7, 2, 3, 3, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 3, 2, 2, 3, 4, 4, 5, 5, 4, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 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8, 8, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 5, 4, 8, 8, 8, 8, 8, 7, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 7, 8, 8, 7, 5, 4, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 6, 7, 7, 7, 7, 7, 9, 7, 5, 5, 6, 6, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 6, 5, 3, 2, 3, 3, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 7, 7, 6, 7, 8, 9, 8, 7, 6, 4, 5, 5, 4, 4, 4, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 6, 8, 8, 7, 5, 4, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 2, 5, 6, 3, 4, 7, 8, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 6, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 2, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 6, 7, 7, 7, 7, 6, 6, 5, 4, 3, 4, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 4, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 10, 8, 4, 3, 6, 6, 3, 8, 6, 4, 3, 3, 4, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 7, 7, 5, 5, 6, 7, 4, 4, 6, 7, 7, 6, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 8, 9, 9, 10, 1, 6, 10, 9, 4, 0, 1, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 9, 10, 11, 5, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 6, 6, 4, 2, 2, 3, 5, 5, 5, 5, 3, 2, 6, 5, 3, 2, 3, 5, 7, 9, 5, 4, 3, 4, 6, 7, 6, 5, 4, 5, 3, 2, 5, 10, 8, 3, 3, 3, 4, 4, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 6, 8, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 12, 0, 0, 12, 13, 13, 39, 6, 9, 7, 0, 8, 5, 0, 8, 7, 6, 5, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 10, 2, 4, 3, 0, 11, 13, 18, 14, 0, 14, 2, 4, 4, 14, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 8, 7, 6, 6, 4, 4, 3, 2, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 3, 3, 2, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 5, 5, 5, 4, 4, 5, 6, 6, 5, 3, 3, 5, 7, 6, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 5, 3, 3, 5, 8, 5, 6, 7, 8, 7, 6, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 4, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 8, 7, 5, 4, 4, 3, 6, 6, 6, 6, 6, 5, 3, 3, 7, 6, 8, 8, 4, 3, 15, 31, 10, 9, 13, 20, 18, 8, 2, 2, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 5, 6, 7, 7, 8, 9, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 2, 4, 8, 9, 7, 3, 6, 6, 6, 6, 6, 6, 6, 6, 8, 5, 3, 3, 4, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 1, 7, 11, 7, 4, 4, 4, 3, 4, 3, 3, 3, 3, 4, 5, 6, 1, 2, 4, 5, 6, 5, 4, 3, 2, 3, 4, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 6, 7, 7, 5, 2, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 4, 4, 4, 5, 6, 6, 4, 5, 5, 5, 5, 5, 5, 6, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 8, 9, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 4, 3, 4, 7, 10, 11, 8, 5, 3, 4, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 6, 6, 4, 2, 2, 3, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 3, 3, 2, 2, 3, 4, 6, 7, 7, 6, 4, 3, 5, 6, 7, 5, 2, 2, 5, 9, 3, 4, 6, 7, 7, 6, 4, 3, 5, 6, 7, 6, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 2, 1, 1, 2, 5, 5, 4, 4, 4, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 10, 5, 5, 10, 10, 5, 2, 3, 7, 6, 4, 3, 3, 4, 6, 7, 5, 6, 7, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 7, 6, 5, 4, 4, 4, 4, 5, 3, 5, 8, 8, 5, 2, 1, 0, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 7, 9, 8, 3, 1, 4, 5, 4, 4, 4, 3, 5, 7, 7, 6, 4, 3, 4, 4, 5, 5, 6, 6, 6, 3, 3, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 9, 7, 4, 2, 1, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 4, 4, 6, 6, 7, 7, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 5, 3, 2, 2, 1, 6, 5, 4, 5, 7, 8, 7, 5, 6, 6, 5, 4, 3, 3, 2, 1, 3, 5, 6, 5, 3, 3, 6, 10, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 1, 0, 5, 5, 0, 1, 9, 0, 3, 9, 8, 4, 1, 3, 6, 8, 7, 5, 4, 3, 4, 4, 5, 3, 4, 4, 5, 5, 6, 6, 7, 2, 2, 3, 4, 6, 7, 8, 8, 3, 4, 6, 9, 11, 9, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 7, 7, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 8, 4, 2, 3, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 8, 25, 35, 23, 3, 0, 9, 3, 3, 4, 4, 6, 6, 7, 7, 7, 0, 7, 2, 7, 15, 2, 5, 5, 4, 2, 3, 5, 7, 7, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 5, 3, 4, 5, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 9, 10, 7, 5, 7, 9, 8, 4, 4, 3, 3, 3, 4, 5, 6, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 6, 7, 5, 3, 5, 6, 6, 6, 6, 5, 4, 3, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 4, 4, 6, 8, 10, 7, 4, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 5, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 7, 6, 4, 3, 3, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 2, 2, 4, 4, 6, 6, 6, 6, 4, 4, 3, 5, 6, 5, 3, 3, 5, 8, 4, 4, 6, 6, 6, 6, 4, 4, 5, 6, 7, 6, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 6, 4, 3, 4, 5, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 7, 9, 6, 4, 6, 6, 6, 4, 4, 4, 4, 6, 6, 4, 5, 7, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 9, 11, 11, 8, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 1, 4, 4, 1, 1, 5, 7, 6, 4, 4, 3, 5, 7, 7, 6, 4, 4, 4, 4, 4, 5, 5, 6, 7, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 8, 7, 5, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 6, 6, 6, 6, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 3, 3, 2, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 5, 4, 3, 2, 2, 1, 4, 7, 7, 5, 4, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 5, 6, 1, 4, 31, 62, 10, 8, 5, 4, 4, 5, 5, 4, 8, 7, 5, 4, 3, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 6, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 5, 8, 9, 8, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 8, 4, 2, 3, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 12, 21, 16, 2, 0, 4, 3, 3, 4, 5, 5, 6, 7, 7, 8, 5, 13, 4, 6, 1, 9, 18, 7, 5, 4, 3, 5, 6, 5, 4, 7, 7, 6, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 3, 4, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 6, 7, 5, 3, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 3, 3, 4, 4, 4, 7, 10, 9, 3, 0, 2, 4, 2, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 6, 7, 7, 8, 11, 10, 8, 5, 4, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 5, 3, 4, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 4, 3, 9, 8, 6, 5, 4, 3, 3, 3, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 8, 7, 6, 5, 5, 7, 8, 6, 3, 2, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 6, 7, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 8, 7, 5, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 2, 2, 4, 5, 5, 6, 6, 5, 5, 4, 2, 4, 6, 6, 5, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 7, 6, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 8, 7, 6, 6, 7, 9, 9, 8, 8, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 3, 3, 7, 10, 8, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 7, 8, 9, 9, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 4, 4, 4, 5, 7, 9, 11, 11, 8, 6, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 6, 5, 3, 4, 8, 9, 7, 4, 4, 3, 5, 7, 7, 6, 4, 6, 5, 4, 3, 4, 5, 6, 7, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 5, 5, 6, 7, 7, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 7, 5, 3, 4, 8, 12, 6, 6, 5, 5, 4, 3, 3, 3, 1, 4, 8, 9, 7, 5, 3, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 2, 7, 6, 2, 10, 44, 78, 22, 12, 2, 0, 5, 9, 7, 2, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 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4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 9, 10, 8, 6, 5, 4, 5, 4, 2, 3, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 8, 9, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 8, 6, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 6, 7, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 6, 5, 5, 7, 8, 6, 6, 5, 4, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 6, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 1, 1, 2, 4, 3, 0, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 8, 9, 9, 9, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 2, 4, 5, 4, 3, 1, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 2, 3, 1, 0, 1, 4, 2, 0, 4, 4, 3, 5, 7, 7, 6, 4, 7, 6, 5, 4, 4, 4, 5, 6, 4, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 6, 7, 7, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 2, 5, 8, 7, 5, 8, 16, 23, 6, 6, 6, 5, 5, 5, 5, 4, 8, 6, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 4, 0, 4, 9, 8, 3, 0, 10, 7, 3, 2, 4, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 2, 2, 7, 7, 6, 5, 5, 4, 3, 3, 6, 4, 2, 2, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 8, 8, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 9, 8, 6, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 4, 5, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 7, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 6, 5, 3, 4, 6, 4, 4, 5, 5, 5, 5, 6, 6, 13, 5, 4, 1, 16, 3, 9, 0, 6, 4, 3, 3, 5, 7, 7, 6, 10, 9, 7, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 6, 7, 5, 3, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 7, 7, 6, 6, 6, 8, 9, 6, 2, 3, 5, 3, 0, 5, 5, 5, 5, 5, 6, 7, 7, 3, 3, 3, 3, 3, 4, 5, 6, 6, 5, 4, 3, 3, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 3, 4, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 5, 6, 8, 9, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 8, 9, 8, 6, 5, 5, 5, 4, 3, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 6, 7, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 8, 7, 5, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 5, 6, 7, 5, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 7, 6, 4, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 4, 5, 5, 4, 3, 5, 6, 7, 7, 7, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 3, 6, 11, 12, 9, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 6, 7, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 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5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 6, 5, 4, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 6, 6, 7, 12, 17, 15, 8, 4, 4, 3, 5, 7, 7, 6, 4, 4, 5, 7, 7, 7, 5, 3, 2, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 5, 6, 6, 6, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 7, 6, 6, 5, 4, 4, 5, 4, 4, 3, 2, 2, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 4, 7, 8, 6, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 6, 5, 2, 3, 7, 10, 2, 3, 3, 3, 3, 4, 5, 5, 2, 3, 5, 6, 7, 6, 5, 5, 2, 3, 3, 3, 3, 3, 4, 4, 6, 5, 5, 5, 5, 5, 5, 4, 6, 5, 4, 5, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 7, 8, 8, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 6, 7, 5, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 3, 3, 4, 6, 7, 9, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 0, 10, 4, 2, 55, 8, 8, 7, 5, 3, 3, 5, 6, 6, 5, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 5, 3, 3, 4, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 3, 1, 2, 14, 31, 43, 46, 6, 6, 5, 5, 5, 6, 7, 8, 3, 4, 6, 8, 8, 7, 6, 5, 3, 4, 4, 4, 3, 2, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 5, 2, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 6, 8, 7, 5, 4, 4, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 8, 7, 6, 5, 5, 6, 5, 4, 4, 6, 8, 9, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 6, 4, 2, 2, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 12, 8, 4, 3, 4, 5, 4, 2, 7, 6, 4, 3, 3, 4, 6, 7, 5, 6, 7, 6, 4, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7, 7, 6, 4, 3, 3, 4, 2, 2, 3, 3, 4, 5, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 6, 1, 3, 9, 10, 5, 3, 4, 6, 7, 7, 6, 4, 3, 3, 4, 5, 6, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 7, 8, 8, 9, 7, 6, 5, 4, 4, 4, 4, 5, 3, 4, 5, 4, 2, 2, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 5, 3, 3, 7, 11, 7, 0, 4, 4, 3, 5, 7, 7, 6, 4, 3, 5, 7, 9, 8, 6, 2, 0, 6, 6, 6, 6, 6, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 8, 7, 5, 5, 4, 3, 4, 3, 2, 3, 5, 6, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 2, 3, 6, 10, 10, 6, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 3, 3, 6, 7, 2, 0, 7, 4, 1, 1, 3, 5, 5, 5, 2, 3, 5, 6, 7, 6, 6, 5, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 8, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 6, 6, 7, 7, 3, 4, 5, 7, 7, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 7, 7, 5, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 3, 3, 4, 6, 8, 9, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 5, 8, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 15, 0, 11, 16, 28, 106, 19, 0, 9, 7, 4, 4, 5, 5, 4, 3, 2, 4, 7, 9, 9, 8, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 4, 3, 2, 2, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 18, 2, 6, 43, 255, 113, 21, 11, 3, 3, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 4, 12, 5, 0, 10, 0, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 4, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 4, 6, 7, 5, 3, 6, 5, 4, 3, 3, 3, 3, 4, 6, 5, 5, 4, 4, 3, 3, 2, 3, 6, 8, 8, 7, 5, 5, 6, 3, 3, 4, 4, 6, 6, 7, 7, 8, 6, 3, 2, 3, 5, 6, 6, 7, 6, 6, 5, 5, 4, 4, 4, 2, 1, 1, 4, 7, 9, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 4, 5, 6, 5, 4, 3, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 7, 6, 5, 4, 3, 3, 3, 2, 5, 3, 5, 10, 4, 0, 9, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 7, 9, 9, 7, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 5, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 8, 7, 5, 3, 2, 2, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 8, 10, 9, 7, 4, 5, 4, 4, 6, 7, 7, 5, 2, 7, 5, 3, 2, 4, 4, 4, 3, 5, 6, 6, 6, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 4, 3, 2, 2, 5, 5, 5, 4, 4, 3, 3, 3, 1, 3, 5, 6, 6, 5, 3, 1, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 7, 7, 6, 5, 3, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 7, 6, 4, 3, 3, 4, 6, 7, 5, 6, 7, 6, 4, 3, 4, 5, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 5, 6, 8, 9, 7, 7, 6, 6, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 6, 6, 5, 3, 3, 4, 3, 4, 6, 7, 7, 6, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 3, 3, 2, 1, 1, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 7, 7, 7, 7, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 4, 3, 3, 5, 6, 6, 4, 1, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 13, 9, 6, 5, 7, 7, 5, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 4, 6, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 2, 3, 3, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 6, 9, 12, 13, 12, 12, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 8, 5, 6, 9, 8, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 6, 5, 4, 3, 3, 4, 5, 6, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 9, 0, 6, 12, 12, 19, 129, 71, 22, 12, 5, 5, 6, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 1, 7, 2, 3, 23, 17, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 6, 7, 6, 4, 6, 5, 5, 4, 3, 3, 3, 4, 6, 6, 6, 5, 5, 5, 5, 5, 3, 6, 8, 8, 6, 5, 5, 6, 3, 3, 4, 5, 5, 6, 7, 7, 3, 3, 3, 4, 5, 6, 6, 5, 6, 6, 6, 6, 5, 5, 4, 3, 3, 2, 2, 4, 7, 8, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 7, 6, 5, 4, 3, 3, 4, 3, 7, 7, 2, 9, 23, 22, 9, 5, 6, 6, 6, 5, 5, 4, 3, 3, 5, 6, 8, 8, 6, 5, 3, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 7, 7, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 3, 4, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 8, 8, 6, 4, 5, 4, 4, 6, 7, 7, 5, 2, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 4, 4, 4, 3, 3, 4, 5, 6, 7, 7, 6, 5, 4, 3, 3, 4, 4, 5, 6, 6, 6, 4, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 4, 4, 4, 4, 6, 6, 5, 6, 7, 6, 4, 3, 4, 5, 3, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 5, 6, 7, 8, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 6, 5, 3, 3, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 5, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 4, 3, 3, 5, 6, 6, 4, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 10, 7, 4, 4, 6, 6, 5, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 5, 5, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 2, 3, 3, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 6, 8, 9, 8, 7, 6, 4, 4, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 6, 3, 3, 6, 5, 2, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 6, 5, 4, 4, 4, 5, 3, 3, 3, 3, 5, 6, 7, 8, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 9, 3, 1, 10, 10, 6, 11, 30, 17, 9, 5, 6, 8, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 0, 6, 7, 19, 50, 51, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 6, 6, 6, 5, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 6, 7, 7, 5, 6, 5, 5, 5, 4, 4, 4, 3, 6, 6, 6, 6, 6, 7, 7, 7, 3, 6, 7, 7, 6, 5, 5, 6, 3, 3, 4, 5, 5, 6, 7, 7, 3, 4, 5, 6, 6, 5, 4, 3, 4, 5, 6, 7, 6, 5, 4, 3, 4, 3, 3, 4, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 3, 4, 5, 6, 6, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 7, 6, 5, 4, 4, 4, 4, 1, 4, 9, 3, 11, 47, 54, 19, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 6, 6, 5, 6, 6, 5, 5, 5, 5, 4, 4, 1, 2, 3, 5, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 5, 4, 4, 6, 7, 7, 5, 2, 3, 6, 9, 9, 5, 3, 3, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 7, 6, 4, 3, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 6, 5, 3, 4, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 6, 7, 7, 7, 7, 6, 5, 6, 6, 6, 7, 7, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 5, 4, 3, 2, 7, 6, 6, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 3, 5, 6, 6, 4, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 7, 5, 3, 3, 5, 6, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 9, 7, 5, 5, 5, 5, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 5, 4, 2, 1, 4, 4, 3, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 6, 3, 4, 8, 7, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 8, 6, 5, 5, 4, 4, 4, 4, 3, 2, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 3, 13, 7, 0, 3, 11, 0, 15, 9, 4, 2, 6, 9, 7, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 0, 7, 9, 21, 52, 53, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 6, 6, 6, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 6, 7, 7, 6, 5, 5, 6, 6, 5, 4, 4, 3, 4, 4, 5, 5, 6, 7, 7, 7, 4, 5, 7, 6, 5, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 9, 7, 5, 4, 4, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 6, 8, 3, 3, 3, 4, 5, 6, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 5, 0, 9, 5, 4, 40, 53, 15, 7, 6, 5, 5, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 1, 2, 4, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 6, 4, 3, 5, 4, 4, 6, 7, 7, 5, 2, 1, 7, 12, 11, 6, 3, 3, 6, 3, 3, 3, 4, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 7, 6, 5, 5, 5, 5, 6, 7, 3, 3, 3, 4, 5, 5, 6, 6, 3, 4, 4, 5, 6, 6, 6, 6, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 6, 4, 4, 4, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 6, 6, 7, 7, 7, 6, 6, 5, 8, 7, 6, 6, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 3, 3, 4, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 2, 1, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 6, 6, 9, 15, 15, 9, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 7, 6, 5, 4, 3, 11, 9, 7, 5, 3, 4, 4, 5, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 10, 10, 0, 7, 8, 8, 11, 6, 2, 2, 7, 8, 6, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 1, 7, 2, 3, 23, 17, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 6, 6, 6, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 6, 7, 5, 6, 6, 7, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 6, 6, 4, 5, 6, 5, 4, 3, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 9, 9, 8, 6, 4, 5, 10, 14, 3, 4, 5, 6, 6, 6, 5, 4, 6, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 4, 5, 7, 8, 3, 3, 3, 4, 5, 6, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 5, 5, 13, 0, 7, 7, 0, 10, 22, 0, 7, 6, 5, 4, 4, 4, 5, 5, 3, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 3, 4, 5, 4, 3, 5, 4, 4, 6, 7, 7, 5, 2, 1, 7, 12, 11, 6, 3, 3, 6, 4, 2, 2, 3, 7, 8, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 4, 3, 3, 4, 5, 5, 7, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 4, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 5, 6, 6, 7, 7, 7, 6, 6, 8, 7, 6, 6, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 4, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 6, 6, 6, 6, 7, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 4, 6, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 11, 19, 19, 12, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 7, 7, 7, 6, 5, 4, 3, 17, 15, 11, 8, 6, 6, 6, 7, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 6, 6, 6, 6, 5, 5, 10, 0, 8, 10, 16, 0, 14, 5, 9, 5, 5, 7, 6, 2, 1, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 3, 10, 2, 0, 10, 0, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 6, 7, 8, 7, 6, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 3, 7, 15, 22, 4, 4, 4, 5, 5, 5, 6, 6, 5, 6, 6, 5, 4, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 7, 7, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 5, 4, 4, 5, 5, 6, 10, 0, 5, 10, 0, 0, 10, 5, 8, 7, 5, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 2, 2, 4, 5, 5, 4, 5, 4, 4, 6, 7, 7, 5, 2, 3, 6, 9, 9, 5, 3, 3, 5, 6, 3, 1, 3, 7, 9, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 8, 7, 6, 5, 4, 3, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 7, 6, 4, 3, 4, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 5, 4, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 5, 5, 4, 3, 3, 6, 5, 4, 4, 6, 6, 5, 4, 2, 3, 4, 5, 5, 5, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 8, 6, 4, 4, 5, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 7, 7, 7, 6, 6, 9, 11, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 2, 3, 7, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 1, 2, 8, 15, 15, 9, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 5, 6, 6, 5, 4, 3, 16, 14, 10, 7, 5, 6, 7, 8, 5, 5, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 7, 6, 6, 5, 12, 0, 8, 7, 11, 2, 4, 6, 10, 6, 5, 6, 4, 0, 0, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 2, 12, 6, 2, 15, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 3, 3, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 7, 3, 2, 3, 5, 5, 6, 7, 8, 8, 6, 4, 3, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 2, 2, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 4, 2, 4, 11, 18, 6, 5, 3, 3, 3, 5, 7, 8, 4, 5, 6, 5, 4, 4, 7, 11, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 2, 1, 4, 8, 8, 8, 11, 15, 8, 7, 5, 3, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 7, 8, 8, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 2, 4, 5, 5, 5, 5, 4, 4, 6, 7, 7, 5, 2, 5, 5, 5, 5, 4, 4, 4, 4, 8, 4, 1, 3, 7, 9, 6, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 6, 6, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 7, 7, 6, 6, 5, 4, 4, 4, 7, 6, 5, 4, 4, 4, 5, 6, 4, 4, 4, 4, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 5, 6, 7, 6, 4, 3, 4, 5, 7, 6, 5, 5, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 5, 4, 4, 6, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 5, 5, 4, 3, 3, 6, 5, 4, 4, 6, 6, 5, 4, 2, 3, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 8, 6, 4, 4, 5, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 7, 8, 6, 4, 4, 7, 9, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 3, 1, 3, 7, 7, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 2, 3, 4, 5, 6, 5, 4, 3, 11, 9, 6, 3, 2, 3, 5, 7, 5, 5, 5, 4, 4, 3, 3, 3, 5, 6, 6, 7, 7, 6, 6, 5, 8, 4, 14, 0, 0, 20, 0, 13, 7, 4, 3, 4, 3, 1, 3, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 2, 10, 2, 0, 12, 2, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 3, 3, 4, 5, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 3, 2, 2, 3, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 6, 6, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 9, 7, 3, 1, 2, 4, 5, 6, 8, 9, 8, 6, 4, 3, 8, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 3, 2, 2, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 9, 6, 1, 0, 3, 8, 7, 5, 3, 1, 2, 4, 8, 10, 3, 5, 6, 5, 4, 4, 8, 12, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 8, 8, 7, 6, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 4, 3, 3, 2, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 4, 4, 4, 5, 6, 6, 3, 10, 6, 1, 7, 6, 1, 2, 8, 7, 5, 3, 2, 3, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 3, 3, 3, 3, 5, 8, 10, 12, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 3, 3, 4, 6, 6, 6, 5, 4, 4, 6, 7, 7, 5, 2, 7, 5, 3, 2, 4, 4, 4, 3, 9, 5, 2, 3, 7, 8, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 4, 5, 7, 9, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 3, 4, 5, 2, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 6, 7, 6, 4, 3, 4, 5, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 5, 4, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 5, 4, 4, 6, 9, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 6, 4, 4, 3, 3, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 6, 7, 7, 7, 7, 7, 4, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 9, 6, 4, 4, 5, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 4, 6, 7, 6, 3, 2, 5, 8, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 5, 5, 5, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 6, 6, 5, 5, 5, 6, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 7, 2, 0, 2, 3, 2, 5, 10, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 4, 4, 3, 3, 9, 8, 7, 7, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 3, 4, 6, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 4, 5, 7, 8, 7, 6, 4, 3, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 5, 5, 6, 7, 7, 8, 8, 8, 7, 7, 6, 6, 6, 3, 3, 4, 4, 6, 6, 7, 7, 10, 23, 32, 0, 39, 8, 11, 10, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 3, 4, 7, 10, 12, 11, 6, 3, 3, 4, 5, 5, 4, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 11, 6, 2, 4, 8, 8, 6, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 0, 13, 20, 0, 3, 18, 9, 16, 15, 3, 0, 6, 9, 4, 3, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 7, 2, 3, 5, 6, 7, 7, 6, 5, 8, 7, 6, 5, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 3, 3, 8, 8, 3, 2, 6, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 8, 8, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 8, 5, 3, 2, 3, 4, 5, 3, 8, 7, 1, 2, 8, 7, 1, 3, 6, 8, 7, 5, 4, 6, 9, 4, 4, 4, 4, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 6, 5, 5, 7, 8, 6, 5, 11, 5, 3, 7, 8, 4, 3, 6, 5, 5, 4, 6, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 3, 2, 3, 6, 8, 7, 5, 14, 0, 5, 0, 5, 7, 0, 15, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 4, 4, 3, 2, 3, 4, 4, 4, 4, 4, 4, 5, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 4, 4, 4, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 3, 5, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 4, 9, 14, 14, 8, 2, 5, 4, 4, 3, 3, 4, 4, 5, 8, 7, 6, 5, 4, 3, 3, 3, 4, 6, 10, 12, 7, 2, 4, 11, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 9, 6, 0, 7, 19, 14, 0, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 6, 5, 5, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 0, 25, 8, 0, 0, 6, 14, 0, 6, 5, 4, 4, 6, 6, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 7, 5, 0, 0, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 2, 2, 4, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 2, 3, 3, 3, 3, 4, 5, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 6, 6, 7, 7, 7, 9, 7, 5, 3, 2, 3, 5, 6, 8, 5, 3, 3, 4, 5, 3, 2, 1, 1, 2, 3, 4, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 8, 7, 3, 0, 2, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 6, 3, 2, 3, 5, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 4, 3, 4, 6, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 5, 5, 5, 6, 7, 5, 4, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 7, 7, 6, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 0, 20, 24, 3, 38, 22, 25, 17, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 3, 3, 5, 8, 10, 9, 6, 3, 3, 5, 5, 5, 4, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 3, 4, 5, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 15, 7, 0, 2, 28, 12, 10, 84, 40, 18, 1, 1, 5, 1, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 5, 6, 6, 6, 5, 5, 8, 7, 6, 5, 4, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 3, 4, 8, 8, 3, 3, 6, 4, 4, 4, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 5, 4, 4, 4, 5, 5, 6, 7, 5, 5, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 5, 4, 4, 6, 8, 9, 6, 5, 6, 7, 6, 3, 3, 7, 2, 4, 6, 6, 4, 3, 5, 8, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 5, 4, 5, 6, 7, 6, 4, 4, 0, 1, 8, 10, 7, 5, 6, 5, 5, 4, 6, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 5, 6, 6, 3, 1, 10, 2, 13, 5, 5, 11, 0, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 5, 4, 3, 3, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 12, 10, 7, 7, 8, 8, 7, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 3, 7, 12, 13, 8, 3, 5, 4, 4, 3, 3, 4, 4, 5, 8, 7, 6, 5, 4, 3, 3, 4, 3, 6, 12, 16, 12, 5, 5, 9, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 6, 2, 3, 9, 7, 0, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 5, 4, 4, 4, 4, 5, 20, 0, 4, 20, 7, 4, 8, 11, 5, 4, 3, 4, 5, 6, 5, 3, 3, 4, 4, 5, 5, 4, 4, 3, 2, 6, 7, 4, 4, 7, 6, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 8, 7, 5, 3, 3, 3, 5, 6, 7, 6, 5, 4, 4, 5, 4, 4, 3, 3, 4, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 4, 7, 6, 3, 3, 6, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 6, 4, 2, 3, 5, 6, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 3, 3, 4, 6, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 3, 3, 3, 3, 4, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 5, 5, 4, 3, 3, 8, 7, 7, 7, 6, 6, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 19, 11, 0, 12, 68, 244, 68, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 3, 4, 5, 6, 4, 3, 3, 5, 7, 7, 6, 4, 4, 5, 6, 5, 4, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 6, 8, 7, 5, 4, 6, 8, 8, 7, 7, 7, 7, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 19, 13, 2, 3, 0, 66, 251, 63, 34, 7, 2, 6, 6, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 5, 4, 4, 4, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 4, 4, 7, 7, 4, 4, 7, 5, 5, 5, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 5, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 8, 7, 2, 3, 9, 12, 9, 4, 4, 4, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 2, 3, 5, 7, 7, 6, 5, 4, 7, 7, 5, 5, 5, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 5, 6, 7, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 5, 1, 6, 5, 1, 10, 23, 22, 10, 6, 4, 3, 4, 7, 8, 7, 5, 5, 5, 4, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 7, 5, 4, 5, 6, 7, 6, 4, 5, 7, 7, 5, 10, 18, 20, 17, 5, 5, 4, 6, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 8, 6, 4, 4, 8, 11, 14, 53, 23, 4, 15, 5, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 5, 3, 3, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 4, 6, 8, 8, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 3, 3, 6, 7, 4, 3, 5, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 8, 10, 3, 1, 5, 5, 0, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 5, 4, 4, 4, 4, 5, 22, 3, 0, 22, 22, 75, 122, 19, 6, 4, 3, 4, 6, 6, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 6, 3, 5, 11, 11, 5, 3, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 7, 9, 8, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 5, 5, 5, 6, 6, 6, 3, 4, 5, 5, 6, 6, 6, 6, 8, 5, 4, 7, 13, 14, 9, 3, 5, 5, 5, 5, 5, 4, 3, 2, 5, 6, 6, 7, 7, 6, 6, 5, 3, 6, 7, 5, 6, 9, 9, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 4, 6, 8, 7, 5, 4, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 8, 9, 7, 3, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 6, 5, 3, 2, 3, 4, 6, 7, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 0, 18, 15, 0, 18, 0, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 3, 4, 5, 6, 4, 3, 3, 5, 7, 7, 6, 4, 6, 7, 7, 5, 3, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 0, 4, 6, 2, 7, 15, 13, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 0, 7, 10, 0, 6, 4, 0, 13, 4, 5, 4, 2, 1, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 7, 6, 5, 5, 5, 4, 4, 4, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 8, 7, 2, 3, 10, 12, 10, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 2, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 1, 3, 6, 8, 9, 7, 5, 3, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 5, 6, 7, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 8, 8, 8, 3, 4, 5, 5, 5, 5, 5, 6, 5, 3, 1, 2, 6, 7, 5, 3, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 7, 6, 5, 5, 7, 8, 6, 5, 0, 4, 4, 2, 6, 12, 12, 6, 5, 5, 4, 6, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 4, 3, 6, 12, 17, 62, 113, 59, 5, 13, 10, 6, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 7, 4, 2, 2, 3, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 6, 7, 7, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 5, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 2, 3, 8, 9, 5, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 17, 21, 7, 0, 4, 6, 1, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 6, 5, 5, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 0, 18, 3, 5, 28, 27, 21, 17, 4, 3, 1, 2, 4, 4, 3, 2, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 8, 16, 16, 8, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 6, 8, 9, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 2, 3, 3, 3, 3, 4, 5, 6, 6, 7, 8, 9, 9, 9, 9, 8, 7, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 4, 5, 6, 6, 6, 6, 12, 7, 4, 9, 17, 19, 12, 4, 6, 6, 6, 6, 5, 4, 3, 3, 7, 8, 9, 9, 9, 9, 8, 7, 3, 7, 8, 4, 3, 6, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 7, 8, 7, 5, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 6, 4, 3, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 7, 5, 4, 4, 6, 6, 5, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 5, 5, 3, 3, 4, 5, 3, 6, 9, 9, 8, 5, 4, 4, 5, 5, 4, 3, 4, 5, 6, 7, 9, 8, 6, 4, 3, 3, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 5, 4, 4, 3, 4, 5, 7, 7, 5, 6, 8, 9, 8, 6, 4, 2, 5, 4, 2, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 13, 10, 6, 2, 0, 1, 3, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 5, 6, 8, 9, 3, 3, 5, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 7, 7, 5, 3, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 6, 2, 3, 4, 4, 2, 2, 3, 4, 0, 11, 2, 3, 3, 1, 11, 0, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 6, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 3, 5, 7, 9, 5, 6, 6, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 5, 3, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 3, 3, 5, 7, 2, 0, 1, 5, 6, 3, 2, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 6, 7, 7, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 6, 6, 7, 8, 7, 6, 4, 3, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 5, 9, 15, 20, 97, 255, 164, 24, 11, 1, 13, 3, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 6, 6, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 7, 10, 8, 3, 0, 3, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 8, 9, 10, 5, 4, 3, 3, 4, 5, 7, 8, 6, 5, 4, 4, 6, 6, 5, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 4, 2, 3, 7, 8, 6, 4, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 9, 4, 1, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 11, 9, 7, 5, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 7, 8, 6, 3, 3, 6, 10, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 13, 13, 8, 4, 4, 11, 7, 6, 6, 5, 5, 9, 16, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 4, 5, 7, 8, 4, 3, 3, 3, 3, 4, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 6, 7, 8, 8, 10, 5, 2, 5, 12, 15, 11, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 2, 5, 7, 7, 6, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 9, 8, 7, 6, 6, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 3, 3, 4, 6, 7, 7, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 5, 4, 4, 3, 4, 5, 2, 4, 7, 8, 6, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 6, 5, 3, 2, 2, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 7, 7, 7, 7, 5, 5, 6, 6, 5, 5, 4, 4, 3, 2, 5, 5, 6, 6, 6, 5, 3, 2, 6, 4, 3, 4, 5, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 8, 11, 9, 4, 0, 3, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 11, 9, 5, 3, 2, 2, 4, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 2, 3, 4, 4, 2, 2, 3, 4, 7, 7, 2, 5, 7, 7, 10, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 15, 13, 10, 7, 5, 5, 5, 6, 5, 5, 6, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 6, 5, 4, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 2, 2, 4, 6, 4, 1, 3, 6, 7, 4, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 6, 7, 7, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 6, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 8, 13, 17, 102, 216, 137, 35, 21, 3, 4, 0, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 6, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 0, 2, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 6, 6, 7, 8, 4, 4, 4, 4, 5, 5, 6, 7, 8, 8, 7, 5, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 4, 2, 4, 6, 8, 6, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 4, 2, 3, 6, 8, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 4, 3, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 6, 6, 5, 2, 2, 5, 8, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 3, 4, 8, 8, 4, 3, 6, 5, 3, 4, 7, 5, 2, 4, 8, 5, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 6, 7, 4, 4, 4, 3, 3, 4, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 7, 4, 2, 4, 8, 11, 9, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 5, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 7, 8, 10, 11, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 2, 2, 4, 6, 8, 8, 7, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 6, 7, 5, 4, 3, 4, 4, 5, 6, 7, 8, 7, 7, 7, 6, 5, 4, 3, 2, 2, 2, 2, 4, 4, 4, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 4, 3, 3, 3, 3, 3, 7, 5, 4, 5, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 17, 24, 20, 8, 1, 5, 12, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 4, 3, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 9, 9, 7, 6, 3, 2, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 2, 4, 5, 4, 3, 2, 3, 5, 8, 0, 4, 5, 8, 11, 3, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 17, 15, 12, 8, 6, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 7, 6, 5, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 3, 2, 1, 3, 5, 6, 3, 4, 8, 8, 5, 4, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 5, 7, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 7, 10, 12, 31, 78, 46, 8, 8, 2, 3, 7, 3, 3, 4, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 4, 4, 4, 4, 3, 3, 2, 3, 6, 7, 8, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 10, 9, 8, 6, 5, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 1, 1, 3, 7, 7, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 6, 7, 7, 5, 2, 3, 7, 11, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 3, 4, 6, 7, 6, 5, 6, 6, 5, 4, 4, 5, 5, 6, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 8, 6, 4, 4, 6, 8, 9, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 5, 4, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 3, 1, 2, 2, 1, 3, 7, 5, 5, 9, 13, 11, 5, 3, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 4, 4, 3, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 6, 6, 5, 4, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 2, 3, 3, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 3, 3, 4, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 5, 6, 5, 4, 2, 4, 7, 7, 6, 5, 5, 6, 7, 7, 6, 6, 6, 7, 8, 9, 6, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 6, 8, 11, 12, 8, 6, 4, 2, 2, 3, 4, 5, 7, 6, 5, 5, 7, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 18, 26, 22, 11, 4, 6, 12, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 10, 10, 9, 7, 4, 2, 4, 4, 5, 6, 6, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 7, 7, 5, 3, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 4, 4, 3, 3, 3, 4, 5, 5, 3, 2, 4, 5, 4, 0, 12, 6, 5, 10, 0, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 7, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 3, 2, 4, 6, 6, 3, 4, 8, 8, 4, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 4, 5, 6, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 8, 6, 6, 7, 8, 10, 7, 10, 5, 3, 4, 1, 6, 3, 4, 5, 6, 6, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 1, 2, 5, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 3, 3, 3, 3, 3, 4, 6, 7, 7, 6, 5, 4, 0, 3, 6, 4, 2, 4, 12, 19, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 5, 2, 3, 5, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 6, 7, 7, 3, 4, 4, 5, 5, 6, 6, 7, 6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 3, 1, 2, 2, 1, 3, 7, 7, 7, 10, 14, 11, 5, 4, 6, 5, 5, 5, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 0, 3, 5, 4, 2, 2, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 4, 3, 3, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 8, 6, 4, 5, 5, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 4, 6, 7, 6, 4, 4, 6, 8, 8, 7, 6, 8, 9, 10, 8, 5, 3, 3, 6, 10, 12, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 5, 9, 14, 16, 10, 8, 5, 3, 3, 4, 6, 8, 7, 6, 5, 5, 7, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 8, 13, 13, 8, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 5, 4, 2, 3, 3, 4, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 10, 10, 8, 6, 4, 4, 5, 6, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 7, 7, 5, 3, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 5, 4, 4, 4, 3, 4, 6, 5, 3, 3, 4, 5, 5, 9, 16, 9, 3, 3, 2, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 3, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 7, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 4, 4, 6, 8, 5, 3, 4, 7, 7, 3, 2, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 7, 5, 3, 4, 5, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 5, 5, 4, 3, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 8, 8, 6, 5, 5, 5, 18, 0, 14, 14, 4, 11, 7, 6, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 5, 7, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 6, 3, 0, 3, 10, 16, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 2, 3, 3, 4, 5, 6, 7, 7, 6, 4, 3, 0, 3, 5, 4, 1, 4, 12, 19, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 5, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 9, 7, 2, 3, 7, 6, 0, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 5, 5, 4, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 3, 3, 7, 7, 3, 3, 6, 6, 4, 5, 7, 5, 0, 1, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 1, 4, 7, 6, 3, 2, 4, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 4, 3, 3, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 9, 7, 5, 5, 5, 5, 3, 1, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 5, 3, 4, 7, 8, 6, 3, 5, 7, 8, 8, 7, 7, 9, 11, 9, 7, 4, 2, 3, 5, 9, 11, 6, 7, 7, 8, 8, 7, 6, 6, 7, 6, 5, 4, 4, 5, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 12, 10, 7, 4, 4, 6, 10, 12, 10, 8, 6, 4, 4, 5, 6, 8, 7, 5, 4, 5, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 9, 8, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 2, 3, 3, 4, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 8, 8, 8, 7, 6, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 3, 5, 6, 5, 4, 3, 4, 6, 3, 9, 9, 28, 21, 0, 3, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 7, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 6, 5, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 5, 5, 7, 9, 6, 3, 4, 7, 7, 3, 2, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 7, 5, 3, 3, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 6, 5, 4, 4, 5, 2, 0, 7, 5, 2, 10, 9, 9, 6, 6, 7, 7, 7, 7, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 5, 3, 1, 4, 14, 24, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 5, 6, 6, 4, 1, 2, 6, 10, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 6, 6, 4, 4, 6, 7, 8, 7, 6, 5, 4, 4, 4, 4, 7, 6, 6, 6, 5, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 3, 8, 7, 4, 6, 14, 13, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 3, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 6, 8, 8, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 10, 10, 5, 3, 5, 8, 5, 4, 6, 4, 1, 3, 9, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 7, 8, 4, 4, 4, 4, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 5, 8, 7, 4, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 6, 6, 5, 4, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 7, 7, 8, 9, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 8, 6, 5, 5, 5, 5, 4, 2, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 9, 5, 2, 4, 8, 9, 7, 3, 4, 6, 7, 7, 6, 7, 9, 11, 5, 5, 5, 5, 5, 6, 7, 7, 5, 5, 7, 7, 7, 7, 6, 5, 8, 7, 5, 4, 4, 5, 7, 8, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 5, 5, 5, 5, 7, 7, 9, 8, 7, 6, 6, 6, 6, 6, 8, 7, 5, 4, 4, 4, 5, 6, 6, 4, 3, 4, 5, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 9, 8, 9, 10, 10, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 8, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 6, 7, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 4, 5, 6, 6, 4, 4, 5, 6, 2, 7, 9, 84, 84, 10, 7, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 7, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 6, 5, 5, 4, 5, 5, 4, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 5, 4, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 4, 6, 8, 8, 5, 5, 8, 8, 4, 3, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 8, 5, 3, 3, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 6, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 3, 3, 4, 6, 9, 19, 10, 7, 11, 5, 0, 2, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 1, 3, 5, 4, 4, 6, 11, 15, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 7, 6, 5, 5, 4, 4, 4, 4, 7, 6, 5, 3, 2, 2, 2, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 2, 5, 6, 6, 4, 4, 5, 8, 8, 7, 6, 5, 4, 3, 3, 4, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 0, 7, 7, 3, 7, 16, 16, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 2, 2, 3, 3, 4, 6, 6, 5, 5, 5, 5, 4, 4, 8, 8, 7, 6, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 4, 4, 5, 8, 8, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 9, 9, 5, 3, 5, 8, 6, 6, 8, 7, 4, 6, 12, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 7, 6, 5, 5, 4, 4, 4, 4, 6, 7, 9, 10, 3, 3, 3, 4, 4, 5, 5, 5, 8, 7, 6, 5, 4, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 5, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 5, 5, 4, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 6, 7, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 4, 3, 4, 6, 7, 6, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 9, 5, 2, 4, 8, 10, 7, 3, 3, 5, 6, 6, 5, 6, 8, 10, 1, 3, 5, 8, 8, 7, 4, 3, 3, 4, 5, 7, 7, 6, 5, 4, 8, 7, 5, 4, 4, 5, 7, 8, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 4, 5, 7, 8, 1, 2, 5, 8, 8, 7, 5, 3, 6, 5, 4, 3, 3, 3, 3, 4, 5, 4, 2, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 9, 9, 7, 6, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 5, 7, 8, 8, 8, 7, 6, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 8, 9, 8, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 7, 7, 5, 3, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 4, 5, 6, 6, 4, 4, 5, 6, 6, 10, 22, 145, 153, 38, 18, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 3, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 3, 3, 5, 7, 9, 6, 7, 10, 9, 5, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 8, 5, 3, 3, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 6, 6, 7, 8, 6, 7, 8, 8, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 2, 3, 5, 7, 0, 15, 0, 0, 19, 4, 0, 7, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 9, 7, 5, 3, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 6, 7, 6, 3, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 8, 7, 5, 4, 3, 3, 4, 5, 4, 3, 2, 2, 4, 4, 3, 1, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 2, 5, 7, 6, 4, 3, 5, 8, 8, 7, 6, 5, 4, 3, 3, 3, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 0, 7, 7, 2, 4, 13, 11, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 7, 8, 7, 6, 6, 5, 5, 4, 4, 3, 9, 8, 7, 7, 6, 5, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 3, 2, 4, 7, 7, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 3, 4, 7, 7, 4, 3, 6, 2, 1, 3, 6, 5, 2, 3, 8, 6, 5, 3, 2, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 4, 3, 3, 3, 4, 6, 8, 10, 11, 3, 3, 3, 4, 4, 5, 5, 5, 8, 7, 6, 5, 4, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 5, 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4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 5, 9, 7, 4, 2, 2, 3, 6, 8, 2, 3, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 6, 7, 7, 5, 5, 3, 2, 2, 3, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 4, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 4, 5, 6, 7, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 6, 4, 3, 4, 7, 8, 8, 7, 0, 4, 9, 11, 10, 7, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 6, 8, 9, 8, 7, 4, 3, 9, 9, 8, 8, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 2, 1, 4, 7, 8, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 3, 7, 8, 8, 5, 4, 6, 10, 13, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 6, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 4, 4, 4, 4, 3, 4, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 6, 6, 7, 8, 8, 9, 9, 8, 6, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 4, 3, 3, 5, 5, 4, 4, 4, 4, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 9, 10, 8, 8, 10, 9, 5, 5, 4, 4, 5, 7, 7, 5, 3, 3, 5, 6, 8, 9, 9, 9, 9, 3, 3, 4, 4, 5, 6, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 7, 7, 6, 6, 6, 6, 7, 7, 4, 6, 6, 5, 3, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 4, 3, 3, 5, 8, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 3, 4, 5, 5, 5, 5, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 9, 9, 7, 5, 3, 4, 2, 4, 8, 8, 4, 2, 4, 5, 5, 4, 3, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 6, 5, 6, 6, 6, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 7, 7, 7, 7, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 4, 6, 7, 6, 5, 5, 6, 7, 9, 11, 9, 4, 3, 6, 6, 3, 1, 3, 5, 5, 4, 4, 5, 7, 7, 6, 8, 11, 9, 3, 3, 7, 4, 4, 4, 5, 5, 6, 6, 6, 19, 0, 18, 12, 2, 1, 0, 10, 8, 6, 4, 3, 2, 3, 5, 6, 7, 6, 5, 6, 8, 8, 6, 4, 7, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 13, 0, 13, 0, 0, 40, 53, 97, 53, 7, 8, 10, 0, 0, 2, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 6, 6, 7, 7, 8, 7, 5, 4, 3, 3, 4, 6, 8, 3, 3, 4, 5, 5, 5, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 4, 4, 5, 5, 6, 7, 9, 7, 5, 4, 4, 5, 7, 9, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 4, 6, 7, 8, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 9, 6, 3, 3, 5, 7, 8, 8, 2, 4, 7, 8, 8, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 5, 5, 4, 3, 2, 7, 7, 7, 7, 6, 5, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 4, 3, 7, 13, 14, 10, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 7, 8, 8, 6, 7, 9, 9, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 7, 5, 4, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 3, 3, 3, 4, 5, 5, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 8, 7, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 5, 4, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 7, 9, 7, 7, 9, 7, 3, 5, 4, 4, 5, 7, 7, 5, 3, 2, 4, 6, 8, 10, 9, 8, 8, 4, 4, 4, 5, 6, 6, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 8, 8, 7, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 4, 3, 3, 5, 8, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 9, 9, 7, 5, 4, 3, 4, 9, 15, 17, 12, 9, 10, 3, 4, 5, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 4, 5, 5, 5, 3, 3, 4, 4, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 8, 9, 9, 8, 5, 3, 4, 5, 13, 14, 12, 7, 5, 6, 5, 2, 1, 3, 4, 4, 3, 3, 5, 7, 6, 6, 9, 12, 9, 5, 3, 5, 4, 4, 4, 5, 5, 6, 6, 6, 9, 17, 25, 14, 2, 12, 7, 6, 9, 7, 5, 3, 2, 3, 5, 7, 6, 5, 5, 6, 8, 8, 6, 4, 7, 5, 2, 3, 5, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 2, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 6, 6, 5, 3, 13, 21, 25, 15, 30, 207, 240, 126, 33, 5, 13, 5, 6, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 3, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 7, 7, 8, 4, 4, 5, 5, 6, 6, 5, 5, 3, 4, 5, 5, 5, 4, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 4, 4, 4, 5, 6, 7, 9, 7, 5, 4, 4, 5, 7, 9, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 8, 9, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 13, 9, 5, 3, 3, 5, 5, 5, 6, 5, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 3, 2, 3, 3, 5, 6, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 7, 5, 4, 9, 14, 16, 11, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 7, 6, 4, 4, 11, 15, 6, 0, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 7, 8, 9, 7, 5, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 6, 5, 4, 4, 4, 3, 4, 5, 5, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 6, 7, 4, 4, 7, 6, 3, 5, 4, 4, 5, 7, 7, 5, 3, 3, 4, 6, 7, 8, 8, 7, 6, 5, 5, 5, 5, 6, 6, 6, 6, 7, 6, 6, 6, 5, 5, 5, 4, 6, 5, 4, 4, 4, 4, 5, 6, 6, 8, 8, 7, 5, 4, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 3, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 2, 2, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 7, 6, 5, 2, 2, 7, 14, 16, 11, 8, 9, 1, 3, 5, 7, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 4, 4, 5, 5, 2, 2, 3, 3, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 10, 10, 8, 5, 3, 3, 4, 12, 14, 12, 7, 5, 7, 6, 3, 3, 4, 5, 4, 2, 3, 5, 7, 9, 7, 4, 3, 3, 4, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 40, 120, 38, 1, 10, 6, 15, 2, 10, 8, 6, 4, 3, 4, 5, 6, 5, 4, 4, 5, 7, 8, 6, 4, 7, 4, 2, 4, 7, 9, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 2, 5, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 7, 7, 7, 7, 6, 13, 12, 0, 6, 28, 39, 249, 255, 166, 50, 0, 5, 9, 12, 4, 0, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 7, 7, 7, 7, 8, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 5, 4, 5, 6, 7, 7, 5, 4, 3, 4, 4, 5, 5, 5, 4, 3, 2, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 3, 3, 4, 5, 6, 6, 5, 5, 3, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 7, 6, 6, 6, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 7, 8, 8, 7, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 14, 10, 6, 4, 4, 4, 4, 3, 8, 5, 2, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 6, 5, 3, 4, 6, 8, 9, 2, 2, 4, 4, 5, 5, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 6, 10, 11, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 6, 5, 5, 5, 5, 0, 19, 34, 24, 6, 0, 5, 10, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 7, 8, 7, 5, 4, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 3, 4, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 6, 5, 5, 5, 5, 6, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 7, 6, 3, 3, 6, 7, 4, 5, 4, 4, 5, 7, 7, 5, 3, 4, 4, 5, 5, 5, 5, 5, 4, 7, 6, 6, 6, 6, 6, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 7, 6, 5, 5, 5, 5, 6, 7, 5, 6, 7, 6, 4, 4, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 5, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 9, 39, 3, 0, 7, 0, 11, 6, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 7, 7, 6, 5, 5, 6, 7, 7, 7, 6, 6, 5, 4, 3, 3, 3, 5, 6, 7, 6, 5, 4, 5, 6, 6, 7, 8, 7, 6, 5, 6, 8, 7, 7, 6, 5, 4, 3, 2, 2, 6, 4, 6, 8, 7, 4, 5, 10, 4, 5, 7, 7, 6, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 5, 4, 7, 10, 5, 2, 10, 8, 3, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 6, 6, 5, 4, 3, 3, 2, 1, 1, 4, 10, 15, 6, 6, 6, 5, 6, 7, 8, 8, 6, 5, 5, 5, 5, 6, 6, 7, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 6, 5, 4, 3, 2, 1, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 9, 8, 6, 5, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 2, 2, 3, 4, 5, 4, 4, 3, 4, 5, 5, 4, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 11, 15, 13, 5, 3, 7, 6, 0, 5, 4, 4, 4, 5, 6, 7, 8, 7, 7, 7, 6, 5, 5, 4, 4, 6, 5, 5, 5, 5, 6, 7, 7, 30, 77, 25, 8, 0, 18, 15, 0, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 6, 6, 6, 6, 5, 8, 8, 6, 3, 2, 6, 14, 20, 7, 6, 6, 6, 5, 5, 5, 5, 2, 4, 5, 4, 3, 3, 4, 5, 7, 6, 6, 6, 5, 5, 5, 5, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 8, 9, 7, 6, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 5, 2, 1, 1, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 5, 6, 1, 0, 4, 5, 1, 6, 6, 5, 4, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 4, 5, 6, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 7, 6, 5, 5, 4, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 0, 6, 13, 7, 11, 4, 8, 8, 8, 8, 7, 6, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 8, 8, 5, 5, 8, 8, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 6, 7, 6, 5, 5, 4, 3, 3, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 4, 2, 1, 2, 3, 6, 7, 5, 5, 5, 5, 4, 2, 0, 0, 14, 16, 12, 4, 5, 10, 8, 0, 2, 4, 8, 10, 11, 9, 6, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 3, 2, 3, 4, 5, 23, 10, 8, 8, 2, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 4, 4, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 6, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 6, 6, 7, 8, 8, 7, 6, 5, 5, 6, 7, 8, 54, 122, 35, 7, 27, 0, 14, 0, 7, 3, 1, 5, 11, 14, 10, 5, 5, 6, 6, 6, 6, 6, 6, 5, 6, 5, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 7, 8, 8, 7, 5, 4, 5, 6, 3, 6, 9, 9, 6, 4, 5, 8, 8, 7, 6, 5, 4, 3, 2, 2, 6, 4, 5, 8, 6, 3, 4, 9, 5, 6, 7, 7, 7, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 6, 5, 4, 4, 4, 11, 11, 1, 0, 5, 7, 5, 11, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 3, 7, 13, 18, 8, 7, 7, 6, 6, 7, 8, 8, 5, 5, 5, 5, 6, 7, 8, 9, 7, 5, 4, 4, 5, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 5, 6, 6, 5, 3, 2, 2, 3, 4, 5, 5, 4, 3, 2, 8, 7, 6, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 2, 2, 3, 3, 3, 3, 3, 3, 4, 5, 6, 5, 3, 3, 5, 7, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 6, 5, 1, 0, 5, 5, 1, 4, 4, 4, 5, 6, 7, 9, 10, 7, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 6, 6, 1, 25, 0, 12, 6, 11, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 7, 9, 9, 5, 1, 3, 11, 19, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 2, 2, 3, 3, 4, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 5, 4, 4, 4, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 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4, 4, 4, 5, 5, 4, 3, 3, 3, 4, 4, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 11, 9, 7, 4, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 7, 8, 8, 7, 5, 4, 4, 5, 7, 8, 29, 90, 17, 0, 19, 0, 19, 5, 8, 4, 2, 6, 12, 15, 11, 6, 7, 6, 6, 6, 6, 6, 6, 7, 7, 6, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 7, 7, 7, 8, 8, 9, 9, 9, 7, 8, 8, 7, 5, 4, 5, 6, 3, 6, 9, 8, 5, 3, 5, 7, 8, 7, 7, 6, 5, 4, 3, 3, 5, 3, 4, 7, 5, 1, 2, 7, 6, 6, 6, 7, 7, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 7, 7, 5, 4, 5, 7, 5, 7, 0, 0, 7, 7, 1, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 6, 7, 10, 12, 8, 8, 7, 6, 6, 7, 7, 8, 5, 5, 5, 5, 6, 7, 8, 9, 8, 6, 5, 5, 6, 6, 4, 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3, 4, 6, 7, 8, 7, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 7, 12, 12, 7, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 3, 4, 4, 7, 6, 5, 5, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 5, 4, 4, 7, 6, 5, 3, 3, 5, 6, 7, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 26, 44, 12, 0, 9, 0, 0, 9, 3, 3, 4, 5, 5, 6, 7, 7, 7, 5, 4, 3, 3, 4, 5, 7, 5, 4, 3, 3, 3, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 5, 1, 3, 12, 19, 15, 9, 2, 2, 5, 8, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 2, 106, 255, 214, 42, 24, 0, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 9, 9, 8, 7, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 6, 6, 7, 8, 9, 9, 8, 7, 6, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 5, 6, 6, 6, 5, 5, 4, 6, 7, 7, 6, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 7, 9, 10, 6, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 4, 6, 6, 5, 5, 7, 9, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 7, 9, 9, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 11, 10, 8, 6, 4, 3, 3, 3, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 8, 9, 8, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 6, 7, 7, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 6, 5, 4, 4, 6, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 3, 9, 14, 11, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 4, 5, 6, 6, 6, 6, 5, 4, 10, 9, 8, 7, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 7, 7, 5, 3, 4, 6, 9, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 5, 5, 5, 6, 7, 8, 8, 7, 5, 3, 3, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 8, 7, 6, 6, 3, 4, 5, 5, 6, 6, 5, 5, 3, 5, 5, 5, 3, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 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3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 4, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 2, 3, 5, 7, 7, 6, 5, 4, 4, 6, 8, 8, 6, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 4, 1, 0, 2, 11, 23, 32, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 6, 5, 5, 5, 4, 4, 4, 3, 3, 4, 6, 6, 5, 5, 6, 8, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 9, 7, 6, 7, 8, 9, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 11, 10, 8, 6, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 7, 7, 8, 8, 6, 4, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 6, 7, 7, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 3, 5, 6, 6, 4, 2, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 9, 14, 11, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 7, 8, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 12, 10, 9, 7, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 5, 3, 3, 4, 5, 5, 4, 4, 5, 6, 5, 3, 3, 5, 7, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 8, 6, 4, 3, 3, 5, 7, 8, 8, 7, 6, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 5, 3, 3, 4, 5, 5, 5, 5, 5, 3, 4, 5, 4, 3, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 6, 5, 4, 3, 2, 5, 5, 4, 4, 4, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 8, 8, 7, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 5, 8, 7, 4, 3, 5, 5, 1, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 6, 4, 3, 2, 2, 4, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 2, 3, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 22, 5, 2, 12, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 3, 3, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 3, 3, 2, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 9, 7, 4, 2, 3, 5, 11, 7, 3, 3, 5, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 5, 3, 3, 3, 5, 22, 7, 36, 32, 0, 29, 13, 8, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 2, 2, 3, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 2, 3, 5, 7, 7, 6, 5, 4, 3, 5, 7, 7, 5, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 2, 0, 2, 10, 21, 30, 8, 7, 5, 4, 3, 4, 5, 5, 4, 4, 4, 4, 3, 3, 3, 2, 5, 4, 4, 4, 3, 3, 3, 2, 3, 5, 6, 6, 4, 4, 5, 7, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 5, 4, 5, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 6, 7, 7, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 6, 7, 7, 6, 5, 5, 4, 3, 3, 5, 6, 6, 4, 2, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 4, 7, 11, 9, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 7, 7, 8, 8, 8, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 6, 6, 7, 7, 6, 6, 5, 8, 7, 6, 4, 3, 3, 3, 3, 2, 4, 5, 7, 7, 6, 5, 4, 5, 5, 6, 7, 6, 5, 4, 3, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 6, 2, 2, 4, 5, 4, 2, 2, 4, 5, 5, 4, 3, 3, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 2, 3, 4, 5, 5, 5, 5, 4, 3, 4, 5, 4, 3, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 6, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 10, 10, 8, 7, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 6, 5, 2, 3, 6, 6, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 7, 7, 5, 4, 3, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 7, 7, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 0, 7, 0, 5, 7, 3, 10, 1, 7, 7, 6, 5, 5, 4, 3, 3, 5, 6, 6, 7, 7, 6, 6, 5, 6, 5, 4, 3, 3, 3, 3, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 3, 2, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 5, 4, 4, 3, 4, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 4, 6, 7, 6, 3, 1, 3, 5, 10, 11, 22, 21, 21, 2, 7, 0, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 7, 8, 4, 5, 5, 6, 6, 7, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 5, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 6, 6, 7, 7, 6, 6, 5, 2, 3, 5, 7, 8, 7, 5, 4, 2, 4, 6, 6, 4, 3, 3, 4, 6, 5, 5, 4, 4, 5, 5, 6, 2, 5, 8, 7, 5, 4, 6, 9, 8, 7, 5, 4, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 4, 5, 6, 6, 4, 4, 5, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 2, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 8, 9, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 3, 3, 3, 4, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 6, 7, 7, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 2, 2, 3, 4, 6, 7, 8, 8, 4, 5, 7, 8, 8, 7, 5, 4, 3, 3, 3, 5, 6, 6, 4, 2, 4, 4, 4, 5, 5, 6, 6, 6, 2, 5, 5, 3, 5, 9, 7, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 7, 8, 8, 8, 8, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 3, 2, 2, 2, 3, 3, 0, 2, 5, 8, 9, 7, 5, 3, 4, 5, 6, 7, 6, 5, 3, 2, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 10, 6, 2, 2, 3, 4, 3, 1, 0, 2, 5, 5, 4, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 5, 6, 6, 5, 3, 1, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 4, 5, 5, 4, 2, 0, 2, 3, 4, 5, 5, 5, 4, 4, 3, 4, 4, 4, 3, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 4, 5, 7, 8, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 13, 11, 9, 6, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 2, 4, 4, 2, 3, 7, 6, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 6, 7, 8, 8, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 2, 3, 5, 6, 6, 5, 3, 2, 6, 5, 4, 4, 6, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 8, 9, 9, 8, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 7, 10, 3, 6, 0, 0, 13, 0, 8, 8, 7, 6, 4, 3, 2, 2, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 4, 3, 3, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 2, 6, 5, 4, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 10, 7, 4, 3, 4, 6, 6, 6, 1, 3, 5, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 3, 6, 7, 6, 2, 1, 2, 5, 7, 50, 8, 19, 0, 0, 7, 9, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 6, 5, 3, 2, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 3, 3, 4, 4, 6, 6, 7, 7, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 5, 6, 8, 9, 11, 11, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 6, 4, 3, 4, 6, 7, 5, 6, 6, 5, 3, 2, 3, 5, 3, 4, 5, 5, 7, 7, 8, 9, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 4, 6, 5, 2, 3, 4, 6, 7, 7, 6, 4, 3, 2, 3, 5, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 2, 3, 5, 6, 8, 7, 6, 5, 4, 3, 3, 3, 2, 2, 3, 4, 5, 5, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 5, 4, 5, 6, 8, 9, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 0, 3, 1, 2, 13, 23, 15, 0, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 5, 6, 6, 6, 6, 5, 3, 3, 4, 5, 7, 8, 9, 9, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 9, 8, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 15, 26, 23, 11, 2, 4, 10, 5, 5, 5, 6, 6, 7, 7, 7, 8, 7, 5, 4, 3, 3, 4, 5, 7, 7, 5, 4, 4, 4, 4, 4, 8, 6, 3, 3, 4, 4, 3, 2, 4, 5, 6, 7, 7, 6, 4, 3, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 3, 5, 7, 7, 6, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 4, 4, 6, 6, 7, 8, 2, 3, 3, 4, 4, 5, 5, 6, 6, 4, 3, 3, 5, 5, 4, 2, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 3, 1, 3, 7, 9, 7, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 2, 3, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 5, 5, 4, 0, 18, 6, 7, 0, 9, 0, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 4, 2, 2, 4, 5, 5, 4, 2, 2, 3, 3, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 7, 6, 5, 3, 6, 4, 2, 2, 3, 4, 2, 0, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 6, 7, 7, 8, 8, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 7, 8, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 9, 7, 5, 4, 4, 5, 6, 7, 1, 3, 6, 8, 9, 8, 6, 5, 4, 5, 5, 6, 6, 7, 7, 8, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 7, 6, 5, 4, 4, 6, 6, 6, 6, 4, 4, 3, 4, 5, 6, 7, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 2, 2, 3, 5, 6, 8, 7, 6, 5, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 6, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 4, 6, 7, 8, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 6, 9, 8, 7, 15, 24, 18, 4, 6, 6, 5, 4, 4, 5, 6, 6, 4, 5, 6, 7, 7, 7, 7, 6, 3, 3, 4, 4, 5, 6, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 8, 8, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 8, 14, 13, 8, 3, 1, 2, 4, 4, 4, 5, 5, 5, 6, 6, 7, 6, 5, 4, 4, 4, 5, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 2, 2, 3, 6, 8, 7, 6, 3, 4, 5, 6, 6, 5, 4, 3, 6, 5, 4, 3, 3, 3, 4, 4, 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5, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 7, 4, 16, 4, 11, 0, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 5, 6, 5, 3, 2, 2, 3, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 7, 7, 5, 3, 6, 4, 2, 3, 4, 4, 2, 1, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 7, 8, 8, 9, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 7, 6, 5, 4, 4, 5, 7, 8, 15, 11, 7, 5, 6, 6, 4, 2, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 5, 7, 7, 6, 7, 9, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 2, 2, 3, 5, 6, 8, 7, 6, 5, 4, 4, 4, 4, 7, 7, 6, 5, 4, 3, 2, 2, 5, 5, 5, 5, 6, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 7, 7, 8, 8, 5, 4, 4, 3, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 7, 6, 4, 8, 15, 12, 3, 7, 7, 6, 5, 5, 6, 7, 7, 5, 6, 7, 7, 8, 8, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 7, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 3, 2, 4, 6, 5, 1, 0, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 5, 5, 2, 2, 2, 5, 7, 9, 8, 6, 3, 3, 4, 5, 5, 4, 4, 3, 6, 6, 5, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 3, 5, 7, 7, 6, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 7, 9, 9, 7, 3, 1, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 5, 5, 3, 1, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 6, 4, 4, 5, 7, 9, 8, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 6, 4, 3, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 6, 5, 4, 4, 4, 5, 7, 8, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 6, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 7, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 9, 0, 0, 10, 0, 5, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 8, 8, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 4, 6, 6, 4, 2, 2, 2, 3, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 7, 7, 5, 3, 5, 4, 3, 3, 4, 4, 3, 1, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 6, 6, 7, 7, 7, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 6, 7, 8, 44, 31, 14, 3, 1, 3, 4, 3, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 2, 4, 7, 6, 4, 6, 10, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 5, 4, 4, 4, 4, 4, 9, 8, 8, 7, 6, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 7, 8, 8, 4, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 4, 0, 0, 5, 5, 1, 6, 6, 5, 5, 5, 5, 6, 6, 4, 5, 6, 7, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 3, 0, 2, 5, 6, 4, 2, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 6, 7, 6, 6, 5, 4, 4, 4, 5, 6, 5, 4, 4, 5, 6, 6, 3, 1, 3, 3, 3, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 3, 5, 7, 7, 6, 4, 5, 4, 2, 1, 1, 2, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 5, 5, 7, 7, 8, 9, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 8, 8, 6, 4, 2, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 6, 6, 4, 2, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 5, 5, 5, 5, 5, 4, 6, 6, 6, 5, 4, 4, 3, 3, 4, 3, 3, 4, 7, 9, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 5, 5, 4, 3, 3, 4, 7, 9, 7, 3, 1, 3, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 8, 6, 5, 3, 4, 6, 8, 10, 8, 7, 6, 6, 4, 4, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 2, 3, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 6, 6, 7, 8, 10, 2, 4, 7, 0, 4, 10, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 4, 5, 7, 6, 4, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 7, 7, 6, 4, 5, 4, 3, 3, 5, 5, 4, 2, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 6, 6, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 5, 5, 6, 7, 48, 35, 18, 7, 5, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 2, 3, 6, 6, 2, 4, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 4, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 7, 3, 2, 5, 6, 4, 5, 5, 4, 4, 4, 4, 5, 5, 2, 3, 4, 5, 5, 5, 5, 4, 8, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 6, 6, 6, 4, 4, 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3, 2, 3, 4, 4, 6, 6, 7, 8, 4, 5, 5, 6, 6, 7, 7, 8, 8, 6, 5, 5, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 2, 3, 4, 6, 7, 8, 8, 6, 3, 1, 3, 7, 9, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 2, 3, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 5, 5, 4, 2, 4, 11, 40, 98, 39, 0, 13, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 6, 6, 7, 7, 7, 14, 10, 4, 2, 2, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 5, 7, 8, 7, 5, 5, 4, 3, 4, 6, 7, 7, 5, 6, 4, 2, 2, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 7, 7, 6, 5, 5, 4, 3, 3, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 7, 8, 7, 5, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 6, 7, 6, 5, 8, 7, 6, 6, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 6, 4, 3, 3, 3, 4, 7, 6, 5, 5, 7, 8, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 9, 5, 2, 4, 8, 10, 7, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 0, 4, 17, 19, 9, 1, 1, 4, 5, 6, 7, 7, 6, 4, 3, 8, 7, 6, 5, 5, 6, 7, 8, 4, 7, 8, 5, 5, 8, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 8, 9, 8, 6, 4, 2, 3, 4, 4, 5, 5, 6, 6, 7, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 4, 4, 4, 3, 3, 3, 6, 5, 3, 2, 2, 3, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 4, 1, 0, 9, 8, 6, 5, 4, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 3, 3, 7, 12, 12, 6, 1, 6, 6, 5, 4, 4, 4, 5, 5, 7, 7, 7, 7, 7, 5, 4, 4, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 3, 3, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 8, 9, 9, 8, 6, 5, 10, 8, 5, 4, 5, 6, 6, 5, 2, 2, 4, 5, 5, 5, 5, 5, 8, 7, 6, 5, 6, 7, 9, 10, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 8, 6, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 4, 4, 3, 3, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 7, 6, 5, 6, 6, 5, 4, 4, 4, 5, 5, 9, 9, 7, 6, 4, 2, 1, 0, 5, 5, 5, 5, 5, 5, 5, 5, 11, 0, 3, 15, 0, 3, 24, 8, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 4, 4, 6, 6, 7, 8, 4, 5, 5, 6, 6, 7, 7, 8, 4, 1, 1, 5, 5, 2, 1, 3, 6, 7, 7, 7, 7, 6, 5, 4, 6, 5, 5, 7, 8, 8, 6, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 3, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 9, 0, 0, 6, 7, 1, 3, 12, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 2, 3, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 3, 5, 5, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 29, 36, 169, 34, 8, 0, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 0, 14, 4, 6, 13, 7, 6, 0, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 2, 1, 5, 7, 7, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 6, 7, 6, 4, 2, 0, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 4, 4, 4, 3, 3, 3, 6, 4, 4, 4, 5, 4, 2, 0, 5, 5, 5, 6, 6, 7, 7, 7, 8, 7, 6, 5, 5, 5, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 5, 8, 3, 2, 6, 8, 5, 5, 8, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 4, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 7, 7, 7, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 6, 7, 6, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 3, 4, 5, 7, 5, 4, 5, 6, 7, 6, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 9, 5, 2, 4, 8, 9, 7, 3, 4, 4, 4, 4, 4, 4, 4, 4, 9, 3, 6, 18, 20, 10, 4, 5, 4, 5, 6, 7, 7, 7, 6, 5, 5, 4, 3, 2, 2, 3, 4, 5, 4, 8, 8, 6, 6, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 8, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 8, 7, 5, 4, 4, 5, 7, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 5, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 6, 7, 6, 15, 26, 19, 3, 8, 7, 6, 4, 4, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 4, 7, 12, 12, 7, 2, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 6, 5, 5, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 8, 9, 9, 8, 6, 5, 9, 7, 5, 5, 6, 6, 5, 4, 2, 3, 4, 5, 5, 5, 5, 4, 7, 6, 5, 5, 5, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 8, 6, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 2, 2, 7, 6, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 7, 6, 6, 5, 5, 4, 4, 3, 0, 20, 5, 1, 17, 4, 0, 7, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 6, 6, 6, 6, 6, 7, 5, 5, 5, 4, 0, 0, 2, 12, 6, 6, 6, 6, 6, 5, 5, 4, 6, 5, 5, 6, 8, 8, 6, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 53, 28, 7, 5, 10, 7, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 7, 1, 16, 42, 0, 0, 14, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 77, 64, 16, 0, 3, 7, 14, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 2, 4, 6, 5, 3, 3, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 5, 4, 2, 1, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 5, 5, 4, 4, 4, 3, 5, 4, 3, 5, 7, 9, 9, 8, 5, 5, 5, 6, 6, 6, 7, 7, 8, 7, 6, 5, 5, 5, 5, 6, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 10, 8, 6, 6, 8, 9, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 4, 5, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 5, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 3, 3, 6, 6, 5, 4, 4, 4, 5, 6, 6, 4, 3, 4, 5, 6, 5, 3, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 8, 5, 3, 4, 7, 8, 6, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 1, 3, 11, 13, 6, 2, 4, 3, 4, 5, 6, 7, 7, 7, 6, 4, 4, 3, 3, 3, 3, 4, 4, 3, 6, 7, 4, 4, 7, 6, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 6, 5, 5, 6, 8, 9, 8, 8, 8, 7, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 3, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 0, 7, 7, 4, 20, 39, 29, 2, 6, 6, 5, 4, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 7, 11, 11, 7, 2, 3, 4, 6, 8, 8, 8, 7, 7, 2, 3, 4, 4, 5, 5, 4, 4, 8, 7, 4, 3, 3, 4, 7, 8, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 5, 7, 6, 5, 6, 7, 7, 5, 3, 2, 3, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 8, 6, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 3, 4, 6, 7, 7, 7, 6, 5, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 8, 7, 3, 1, 2, 3, 7, 7, 6, 6, 6, 6, 7, 8, 7, 5, 3, 2, 2, 3, 5, 7, 8, 8, 7, 6, 4, 3, 2, 2, 10, 0, 0, 1, 6, 13, 12, 4, 5, 5, 6, 6, 6, 6, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 1, 5, 8, 6, 0, 2, 19, 37, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 6, 7, 7, 6, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 49, 25, 4, 2, 7, 7, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 7, 7, 7, 7, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 1, 2, 3, 4, 6, 7, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 8, 9, 9, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 12, 1, 24, 0, 3, 10, 6, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 73, 63, 20, 4, 9, 7, 12, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 1, 9, 11, 5, 1, 4, 4, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 7, 6, 6, 6, 5, 5, 5, 4, 6, 4, 2, 3, 5, 7, 8, 7, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 6, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 4, 4, 3, 3, 2, 1, 9, 10, 2, 0, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 8, 6, 6, 8, 9, 8, 7, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 8, 8, 6, 4, 2, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 2, 3, 5, 5, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 7, 5, 3, 4, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 1, 1, 6, 7, 2, 1, 3, 2, 3, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 1, 4, 5, 2, 2, 5, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 6, 7, 8, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 5, 5, 6, 7, 8, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 2, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 3, 15, 28, 18, 0, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 8, 8, 5, 2, 2, 4, 7, 9, 10, 10, 8, 7, 2, 3, 4, 5, 5, 6, 5, 5, 8, 7, 6, 5, 5, 6, 7, 8, 5, 5, 5, 4, 4, 3, 3, 3, 2, 3, 3, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 5, 6, 6, 5, 6, 7, 7, 7, 7, 6, 5, 5, 4, 5, 6, 8, 7, 5, 2, 3, 3, 4, 5, 5, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 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4, 4, 4, 4, 4, 4, 4, 2, 8, 8, 5, 7, 12, 7, 0, 3, 4, 6, 7, 8, 8, 7, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 4, 5, 7, 7, 6, 6, 7, 8, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 3, 1, 1, 3, 5, 6, 6, 5, 5, 5, 5, 5, 4, 2, 2, 2, 4, 5, 6, 7, 6, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 4, 4, 3, 3, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 8, 6, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 3, 2, 0, 0, 3, 3, 3, 4, 5, 6, 7, 8, 4, 4, 4, 3, 3, 2, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 13, 25, 128, 116, 24, 17, 19, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 4, 4, 6, 6, 7, 8, 2, 3, 3, 4, 4, 5, 5, 6, 6, 4, 4, 6, 5, 2, 3, 7, 12, 10, 8, 6, 6, 7, 8, 10, 7, 4, 2, 2, 3, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 2, 8, 11, 7, 1, 0, 3, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 4, 5, 7, 8, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 7, 9, 9, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 51, 19, 0, 2, 12, 13, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 0, 13, 11, 18, 14, 0, 2, 12, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 7, 22, 34, 21, 0, 0, 10, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 2, 4, 6, 8, 9, 8, 6, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 6, 8, 9, 8, 6, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 6, 6, 7, 7, 7, 3, 4, 4, 4, 4, 4, 4, 5, 8, 3, 2, 6, 8, 6, 6, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 8, 8, 4, 0, 1, 8, 11, 9, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 4, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 2, 3, 5, 6, 7, 7, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 3, 3, 4, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 12, 7, 1, 0, 2, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 6, 5, 6, 8, 11, 14, 6, 5, 5, 4, 4, 5, 5, 6, 2, 0, 19, 5, 9, 34, 21, 39, 8, 7, 7, 6, 6, 5, 5, 5, 2, 2, 3, 3, 4, 5, 5, 6, 5, 5, 3, 2, 2, 2, 2, 2, 5, 6, 7, 7, 5, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 6, 7, 8, 8, 5, 7, 8, 7, 5, 5, 9, 12, 5, 6, 6, 7, 7, 6, 6, 5, 4, 5, 6, 7, 8, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 2, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 3, 2, 2, 4, 4, 4, 5, 5, 6, 6, 6, 9, 9, 8, 6, 3, 3, 4, 6, 8, 7, 5, 4, 4, 5, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 3, 3, 2, 5, 4, 3, 4, 5, 5, 3, 2, 1, 2, 1, 14, 8, 0, 10, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 6, 6, 7, 7, 8, 5, 6, 7, 6, 4, 3, 4, 5, 7, 6, 5, 5, 7, 7, 6, 5, 3, 2, 2, 2, 3, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 6, 6, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 8, 8, 5, 2, 2, 3, 3, 3, 3, 3, 3, 4, 6, 6, 2, 4, 7, 6, 4, 3, 6, 8, 4, 4, 3, 2, 2, 4, 5, 6, 3, 6, 8, 7, 4, 1, 1, 2, 7, 6, 6, 5, 5, 4, 4, 3, 7, 6, 6, 5, 5, 6, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 5, 7, 9, 9, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 4, 4, 5, 5, 8, 7, 5, 4, 3, 3, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 6, 4, 2, 1, 2, 9, 8, 7, 6, 5, 4, 4, 4, 0, 1, 3, 0, 11, 7, 17, 1, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 1, 1, 4, 9, 10, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 6, 5, 3, 2, 9, 13, 18, 19, 14, 9, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 3, 3, 4, 3, 3, 2, 2, 3, 3, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 11, 10, 7, 1, 0, 0, 7, 15, 13, 10, 6, 4, 5, 6, 6, 6, 4, 4, 4, 3, 3, 2, 2, 1, 5, 6, 8, 9, 8, 6, 4, 2, 2, 3, 5, 6, 7, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 7, 6, 4, 3, 6, 9, 4, 4, 4, 4, 5, 6, 7, 7, 3, 3, 3, 4, 4, 5, 5, 5, 1, 3, 5, 5, 5, 5, 7, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 2, 2, 3, 4, 5, 5, 5, 5, 5, 6, 8, 10, 10, 8, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 3, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 1, 4, 6, 5, 3, 4, 7, 10, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 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5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 2, 2, 4, 4, 5, 6, 5, 4, 4, 4, 1, 10, 2, 7, 7, 0, 9, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 5, 6, 7, 6, 4, 3, 4, 5, 6, 4, 3, 4, 6, 6, 5, 4, 4, 3, 3, 3, 4, 5, 7, 8, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 6, 7, 6, 5, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 3, 5, 7, 7, 5, 5, 7, 9, 6, 5, 5, 4, 5, 6, 7, 8, 3, 5, 8, 7, 5, 3, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 2, 4, 6, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 7, 8, 10, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 7, 8, 7, 6, 5, 6, 9, 11, 10, 8, 7, 5, 4, 4, 5, 5, 5, 19, 3, 25, 0, 9, 0, 11, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 2, 1, 2, 6, 8, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 6, 5, 3, 2, 3, 7, 11, 12, 9, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 4, 4, 4, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 6, 7, 5, 5, 11, 21, 29, 12, 9, 5, 4, 5, 6, 6, 5, 6, 6, 5, 5, 5, 4, 4, 4, 4, 6, 7, 8, 8, 6, 4, 3, 3, 4, 5, 6, 6, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 5, 3, 3, 5, 7, 5, 5, 4, 4, 4, 5, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 6, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 2, 3, 4, 5, 5, 5, 5, 5, 4, 5, 7, 9, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 5, 6, 6, 4, 4, 7, 9, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 2, 3, 12, 21, 18, 6, 1, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 6, 10, 7, 5, 4, 4, 4, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 4, 6, 6, 6, 5, 4, 7, 6, 6, 5, 5, 6, 6, 7, 22, 2, 8, 0, 13, 34, 11, 9, 5, 5, 5, 5, 4, 4, 4, 4, 7, 7, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 4, 6, 7, 6, 5, 4, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 7, 7, 6, 6, 5, 6, 6, 6, 5, 3, 3, 5, 7, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 7, 8, 8, 9, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 8, 7, 5, 3, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 2, 5, 8, 8, 5, 3, 5, 7, 6, 27, 9, 1, 8, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 8, 7, 5, 4, 4, 5, 5, 4, 2, 3, 5, 5, 4, 3, 5, 4, 4, 4, 5, 6, 7, 8, 8, 8, 7, 6, 4, 3, 2, 2, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 6, 8, 8, 6, 4, 4, 4, 3, 3, 3, 4, 5, 6, 5, 6, 8, 7, 6, 6, 7, 9, 8, 7, 7, 7, 7, 8, 9, 10, 2, 4, 5, 5, 4, 4, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 2, 3, 5, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 3, 5, 8, 12, 14, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 7, 7, 6, 5, 5, 5, 8, 8, 6, 4, 3, 7, 13, 18, 10, 8, 6, 4, 3, 4, 5, 6, 0, 1, 2, 0, 7, 19, 19, 0, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 6, 4, 2, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 1, 4, 6, 7, 6, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 2, 2, 2, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 7, 7, 5, 4, 6, 12, 18, 10, 7, 4, 3, 4, 5, 5, 4, 7, 7, 7, 7, 7, 6, 6, 6, 3, 4, 6, 7, 7, 7, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 6, 4, 4, 6, 7, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 8, 9, 9, 7, 3, 1, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 2, 4, 5, 4, 3, 3, 4, 5, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 17, 30, 25, 7, 2, 10, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 6, 7, 8, 9, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 6, 6, 5, 5, 8, 7, 6, 6, 5, 4, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 5, 5, 5, 5, 7, 7, 6, 6, 6, 6, 7, 7, 1, 4, 21, 5, 0, 3, 0, 13, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 5, 5, 5, 5, 5, 6, 8, 8, 4, 5, 7, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 5, 5, 5, 6, 6, 5, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 2, 2, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 6, 8, 8, 6, 4, 3, 3, 2, 3, 5, 6, 6, 5, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 1, 6, 10, 9, 5, 3, 6, 10, 13, 41, 15, 0, 9, 4, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 8, 8, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 6, 4, 4, 5, 6, 4, 3, 4, 5, 6, 5, 3, 5, 5, 5, 6, 6, 7, 7, 8, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 2, 5, 9, 11, 8, 5, 5, 4, 3, 3, 3, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 9, 9, 4, 4, 3, 2, 2, 2, 3, 4, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 5, 4, 4, 5, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 4, 5, 5, 4, 3, 3, 3, 4, 5, 5, 6, 7, 7, 5, 4, 2, 2, 4, 7, 11, 13, 2, 3, 5, 6, 7, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 5, 5, 4, 4, 6, 5, 3, 1, 1, 4, 10, 14, 9, 7, 5, 3, 2, 3, 5, 7, 9, 3, 31, 0, 16, 0, 13, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 8, 5, 1, 0, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 4, 0, 0, 1, 3, 8, 5, 3, 2, 3, 4, 4, 3, 7, 7, 7, 7, 7, 7, 7, 7, 2, 3, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 7, 8, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 9, 9, 7, 3, 1, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 5, 4, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 1, 2, 3, 3, 2, 1, 1, 1, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 2, 11, 22, 17, 1, 0, 8, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 7, 8, 8, 9, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 6, 6, 5, 6, 7, 7, 7, 5, 4, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 5, 7, 9, 7, 6, 6, 5, 5, 6, 6, 7, 7, 7, 13, 4, 2, 8, 3, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 6, 5, 5, 5, 6, 7, 8, 9, 4, 5, 6, 6, 4, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 2, 1, 4, 4, 5, 6, 6, 5, 4, 4, 2, 3, 3, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 6, 7, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 7, 7, 7, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 5, 7, 7, 6, 4, 3, 3, 2, 3, 5, 6, 6, 5, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 7, 7, 7, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 1, 5, 10, 9, 5, 3, 6, 10, 9, 38, 13, 0, 9, 4, 3, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 8, 8, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 7, 5, 4, 4, 7, 5, 4, 5, 6, 7, 6, 4, 5, 5, 6, 6, 7, 7, 7, 7, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 2, 5, 9, 11, 9, 6, 5, 5, 4, 3, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 3, 5, 5, 6, 7, 7, 7, 7, 7, 11, 9, 5, 3, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 6, 7, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 2, 2, 4, 6, 7, 2, 3, 5, 6, 7, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 4, 6, 8, 6, 4, 3, 2, 3, 5, 6, 17, 0, 3, 17, 12, 8, 0, 16, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 7, 4, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 9, 8, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 5, 6, 6, 7, 9, 11, 6, 4, 2, 3, 4, 4, 3, 2, 5, 5, 5, 5, 6, 6, 6, 6, 3, 3, 4, 5, 6, 6, 6, 6, 7, 6, 6, 5, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 3, 2, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 2, 6, 13, 9, 1, 0, 7, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 6, 6, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 8, 8, 8, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 8, 7, 6, 5, 4, 6, 7, 7, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 5, 3, 3, 5, 8, 10, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 4, 5, 9, 7, 2, 4, 4, 4, 4, 5, 5, 5, 5, 7, 7, 7, 6, 5, 4, 4, 4, 6, 6, 5, 5, 5, 6, 7, 8, 3, 5, 6, 5, 4, 3, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 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3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 9, 9, 7, 4, 3, 3, 5, 5, 4, 4, 4, 4, 4, 5, 9, 17, 50, 5, 9, 17, 12, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 6, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 8, 6, 4, 4, 5, 4, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 2, 3, 4, 6, 7, 9, 10, 10, 5, 4, 3, 3, 5, 5, 4, 2, 3, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 3, 4, 2, 1, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 3, 5, 6, 6, 4, 4, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 7, 6, 5, 5, 4, 4, 4, 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6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 5, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 6, 4, 3, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 8, 9, 9, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 1, 2, 4, 4, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 8, 10, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 3, 3, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 4, 4, 2, 1, 3, 5, 7, 9, 8, 5, 2, 0, 4, 4, 4, 4, 4, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 4, 6, 8, 7, 6, 2, 2, 3, 4, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 2, 3, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 3, 3, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 26, 11, 0, 1, 6, 4, 1, 0, 3, 5, 7, 6, 4, 3, 5, 7, 5, 6, 6, 6, 6, 5, 4, 3, 7, 6, 4, 2, 2, 2, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 5, 6, 7, 6, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 2, 2, 3, 3, 5, 7, 8, 9, 12, 10, 8, 6, 4, 3, 2, 2, 7, 6, 4, 3, 3, 4, 6, 7, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 5, 4, 3, 2, 2, 1, 5, 5, 7, 8, 8, 7, 5, 5, 6, 6, 5, 3, 2, 2, 3, 4, 7, 6, 6, 4, 3, 2, 2, 1, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 2, 4, 6, 7, 5, 4, 2, 1, 1, 2, 4, 5, 2, 3, 5, 6, 7, 7, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 7, 8, 6, 6, 8, 6, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 4, 4, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 8, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 4, 3, 4, 5, 6, 5, 3, 9, 8, 6, 4, 3, 4, 6, 7, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 11, 9, 7, 7, 7, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 4, 4, 3, 4, 7, 10, 34, 15, 3, 5, 4, 0, 1, 11, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 5, 3, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 9, 8, 7, 7, 7, 7, 8, 9, 9, 8, 6, 5, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 6, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 6, 4, 3, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 5, 7, 8, 8, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 2, 3, 4, 5, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 3, 5, 6, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 3, 3, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 7, 8, 7, 5, 4, 5, 6, 7, 7, 5, 4, 2, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 4, 6, 8, 7, 6, 3, 4, 5, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 19, 8, 0, 2, 6, 5, 3, 4, 3, 5, 7, 6, 4, 3, 5, 7, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 5, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 6, 6, 2, 2, 3, 4, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 7, 7, 6, 5, 4, 2, 1, 2, 4, 6, 8, 9, 8, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 1, 0, 5, 11, 14, 10, 5, 4, 4, 3, 2, 2, 3, 4, 4, 3, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 7, 8, 5, 5, 7, 5, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 5, 4, 4, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 4, 4, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 9, 9, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 3, 4, 5, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 5, 4, 5, 6, 7, 6, 4, 5, 5, 4, 3, 4, 6, 8, 9, 5, 5, 4, 4, 4, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 15, 11, 7, 5, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 2, 4, 5, 6, 6, 7, 10, 13, 49, 18, 0, 6, 9, 0, 0, 11, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 5, 4, 7, 9, 8, 4, 2, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 7, 7, 6, 6, 6, 6, 7, 7, 8, 7, 6, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 6, 7, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 6, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 5, 5, 5, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 3, 3, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 7, 9, 8, 7, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 6, 7, 7, 6, 5, 5, 6, 7, 7, 7, 7, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 10, 5, 2, 4, 6, 5, 5, 7, 4, 5, 6, 6, 4, 4, 5, 6, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 9, 8, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 2, 1, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 3, 4, 5, 5, 6, 7, 8, 9, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 3, 3, 4, 4, 3, 1, 4, 4, 3, 3, 4, 5, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 2, 0, 10, 22, 26, 16, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 9, 9, 5, 4, 6, 4, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 7, 7, 6, 5, 5, 6, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 8, 10, 10, 9, 7, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 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4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 0, 26, 43, 32, 14, 7, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 7, 7, 4, 3, 2, 2, 2, 2, 3, 4, 3, 4, 6, 7, 8, 7, 7, 6, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 5, 4, 3, 2, 2, 3, 3, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 9, 9, 8, 7, 6, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 2, 2, 3, 4, 4, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 7, 8, 9, 9, 8, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 3, 4, 6, 7, 5, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 2, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 3, 3, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 2, 2, 3, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 3, 7, 7, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 4, 6, 6, 5, 3, 7, 7, 7, 7, 7, 6, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 7, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 4, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 5, 3, 0, 1, 8, 9, 4, 7, 5, 3, 4, 6, 7, 5, 3, 5, 6, 6, 6, 6, 5, 4, 3, 4, 3, 2, 2, 2, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 4, 5, 7, 8, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 5, 5, 6, 15, 12, 8, 5, 4, 5, 8, 10, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 5, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 5, 5, 5, 5, 7, 8, 4, 4, 4, 5, 7, 8, 8, 8, 8, 7, 4, 3, 3, 5, 8, 10, 2, 3, 3, 4, 4, 3, 3, 2, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 3, 3, 4, 4, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 5, 6, 7, 7, 6, 5, 3, 2, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 7, 6, 6, 7, 8, 8, 4, 6, 5, 1, 1, 4, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 11, 10, 8, 7, 6, 7, 8, 8, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 3, 2, 2, 3, 5, 6, 6, 7, 6, 4, 2, 2, 4, 7, 5, 4, 4, 3, 3, 4, 4, 5, 3, 7, 10, 8, 4, 2, 5, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 3, 3, 5, 6, 6, 6, 6, 6, 3, 3, 5, 6, 6, 6, 6, 6, 6, 5, 4, 3, 4, 5, 7, 8, 2, 4, 6, 8, 9, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 7, 7, 6, 5, 10, 8, 5, 3, 3, 4, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 5, 4, 4, 3, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 3, 3, 4, 4, 4, 3, 2, 1, 5, 5, 7, 7, 7, 7, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 11, 22, 154, 107, 9, 13, 0, 19, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 6, 6, 5, 8, 8, 7, 6, 5, 5, 5, 6, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 9, 8, 2, 0, 5, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 3, 1, 3, 4, 4, 4, 4, 7, 2, 1, 4, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 2, 2, 3, 4, 4, 3, 2, 2, 3, 4, 6, 7, 7, 6, 4, 2, 7, 6, 4, 3, 2, 2, 3, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 2, 3, 5, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 6, 4, 3, 4, 6, 7, 6, 5, 3, 2, 2, 3, 5, 6, 3, 3, 4, 5, 7, 8, 9, 9, 4, 5, 5, 6, 6, 5, 5, 4, 9, 7, 5, 4, 3, 3, 4, 5, 3, 3, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 1, 5, 6, 5, 7, 9, 5, 0, 7, 7, 7, 6, 6, 5, 5, 5, 2, 3, 4, 5, 5, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 3, 3, 6, 4, 2, 2, 3, 3, 2, 0, 6, 5, 5, 6, 7, 7, 6, 4, 2, 3, 5, 6, 7, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 3, 3, 5, 7, 5, 6, 6, 7, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 8, 7, 5, 4, 4, 5, 7, 8, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 7, 5, 2, 1, 3, 6, 5, 6, 8, 9, 8, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 5, 3, 4, 19, 24, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 7, 6, 5, 3, 2, 4, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 7, 9, 8, 4, 2, 5, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 4, 3, 4, 5, 6, 7, 3, 4, 6, 8, 8, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 7, 7, 6, 5, 9, 8, 6, 4, 4, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 4, 4, 4, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 6, 6, 11, 0, 51, 38, 5, 23, 11, 2, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 6, 5, 5, 7, 7, 6, 5, 4, 4, 5, 5, 3, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 8, 7, 2, 1, 5, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 4, 4, 6, 8, 9, 9, 9, 9, 4, 1, 4, 6, 4, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 6, 6, 5, 4, 4, 2, 4, 6, 7, 7, 6, 5, 3, 7, 6, 4, 3, 3, 3, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 5, 6, 5, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 4, 3, 4, 6, 7, 5, 5, 3, 3, 3, 3, 5, 5, 4, 4, 5, 5, 6, 7, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 5, 6, 6, 3, 4, 4, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 13, 10, 6, 3, 3, 5, 10, 13, 7, 7, 6, 6, 6, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 5, 4, 3, 3, 4, 5, 3, 2, 4, 4, 4, 5, 6, 6, 5, 3, 2, 3, 5, 6, 7, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 5, 3, 3, 5, 6, 5, 5, 6, 7, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 4, 4, 5, 6, 5, 6, 7, 8, 8, 6, 4, 2, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 5, 3, 3, 16, 21, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 6, 7, 7, 5, 3, 3, 4, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 6, 8, 7, 4, 3, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 6, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 7, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 5, 6, 7, 6, 4, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 3, 4, 5, 6, 7, 8, 9, 5, 4, 3, 3, 3, 3, 4, 5, 3, 4, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 6, 6, 7, 10, 8, 0, 2, 0, 6, 20, 0, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 6, 6, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 6, 6, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 7, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 3, 3, 6, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 8, 9, 7, 5, 9, 3, 1, 3, 5, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 7, 7, 7, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 6, 6, 2, 3, 5, 6, 7, 7, 6, 5, 6, 5, 5, 4, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 5, 6, 7, 6, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 4, 4, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 4, 5, 6, 7, 7, 6, 4, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 11, 6, 4, 6, 3, 0, 5, 16, 7, 6, 6, 6, 5, 5, 5, 5, 4, 5, 6, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 4, 4, 5, 4, 3, 4, 6, 7, 6, 4, 3, 3, 4, 5, 5, 4, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 5, 4, 2, 2, 4, 6, 5, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 7, 6, 5, 4, 4, 5, 6, 7, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 8, 7, 6, 5, 6, 7, 7, 7, 6, 4, 3, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 5, 3, 1, 13, 17, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 8, 8, 8, 7, 6, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 5, 7, 7, 5, 4, 3, 5, 6, 7, 6, 4, 3, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 6, 7, 6, 4, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 5, 4, 5, 6, 6, 7, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 7, 8, 8, 3, 4, 5, 5, 5, 5, 4, 3, 5, 5, 6, 6, 6, 6, 5, 5, 2, 2, 2, 3, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 5, 5, 6, 6, 24, 8, 8, 4, 0, 11, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 5, 6, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 3, 4, 4, 3, 4, 6, 3, 0, 5, 1, 0, 5, 6, 3, 1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 7, 7, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 7, 8, 8, 7, 6, 6, 2, 3, 4, 6, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 7, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 5, 6, 7, 6, 5, 5, 5, 5, 6, 6, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 1, 0, 9, 21, 17, 1, 0, 8, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 5, 6, 4, 4, 5, 7, 8, 8, 6, 3, 4, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 3, 2, 2, 4, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 6, 6, 5, 4, 4, 5, 6, 6, 2, 3, 3, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 3, 2, 4, 8, 10, 9, 6, 4, 5, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 3, 5, 4, 1, 9, 12, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 9, 10, 9, 8, 8, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 5, 6, 7, 7, 6, 5, 3, 5, 6, 7, 6, 4, 3, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 6, 5, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 4, 6, 6, 5, 4, 4, 5, 6, 7, 7, 5, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 4, 5, 5, 2, 4, 7, 10, 10, 7, 4, 2, 6, 6, 7, 8, 8, 7, 6, 6, 3, 3, 2, 2, 3, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 3, 3, 4, 4, 2, 10, 5, 2, 13, 13, 4, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 6, 6, 5, 4, 4, 4, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 2, 3, 5, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 2, 5, 5, 3, 6, 11, 11, 5, 3, 1, 4, 10, 11, 6, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 3, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 7, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 7, 6, 5, 3, 2, 6, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 0, 2, 17, 33, 28, 9, 0, 6, 6, 6, 5, 5, 5, 4, 4, 4, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 5, 5, 6, 5, 4, 5, 7, 9, 8, 7, 3, 6, 8, 8, 5, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 4, 4, 3, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 2, 3, 3, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 3, 2, 4, 8, 10, 9, 6, 4, 4, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 6, 7, 7, 8, 9, 8, 7, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 2, 5, 5, 0, 5, 9, 1, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 4, 6, 7, 7, 5, 3, 3, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 6, 6, 6, 5, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 5, 6, 5, 3, 4, 5, 6, 6, 6, 4, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 7, 6, 4, 3, 2, 3, 4, 5, 2, 5, 8, 10, 10, 8, 5, 2, 6, 6, 7, 7, 7, 7, 6, 6, 4, 3, 3, 3, 4, 6, 8, 10, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 3, 3, 2, 3, 3, 3, 0, 8, 0, 7, 16, 0, 12, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 8, 6, 5, 3, 3, 4, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 3, 3, 3, 3, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 6, 4, 2, 3, 7, 9, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 7, 6, 4, 8, 13, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 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1, 4, 10, 13, 11, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 8, 9, 4, 2, 12, 27, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 9, 13, 9, 1, 3, 15, 18, 11, 8, 3, 0, 3, 5, 3, 3, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 3, 3, 2, 2, 1, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 9, 8, 6, 5, 4, 3, 3, 3, 3, 4, 6, 7, 8, 8, 7, 6, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 2, 3, 5, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 2, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 3, 3, 4, 5, 7, 9, 8, 8, 8, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 7, 4, 0, 2, 7, 8, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 7, 7, 7, 7, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 6, 6, 8, 6, 4, 4, 5, 5, 4, 2, 0, 4, 8, 7, 3, 1, 3, 6, 8, 7, 5, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 6, 7, 7, 6, 7, 9, 12, 5, 4, 4, 3, 4, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 4, 4, 6, 6, 7, 7, 2, 5, 7, 5, 2, 1, 3, 6, 3, 3, 3, 3, 3, 4, 5, 6, 8, 8, 7, 6, 4, 3, 2, 2, 11, 9, 7, 5, 4, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 6, 10, 3, 3, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 9, 6, 0, 2, 9, 4, 0, 6, 4, 5, 7, 8, 7, 5, 3, 2, 6, 5, 4, 3, 3, 5, 6, 8, 0, 2, 4, 6, 7, 7, 7, 6, 2, 3, 3, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 6, 7, 8, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 7, 6, 6, 5, 5, 4, 4, 3, 7, 6, 6, 5, 5, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 5, 5, 5, 3, 2, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 4, 5, 6, 7, 6, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 5, 5, 6, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 7, 4, 3, 12, 22, 13, 0, 2, 5, 7, 5, 3, 1, 3, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 6, 5, 5, 4, 4, 3, 3, 2, 2, 3, 4, 5, 5, 5, 5, 4, 3, 3, 4, 4, 6, 6, 7, 7, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 6, 6, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 3, 3, 4, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 8, 8, 7, 6, 6, 7, 8, 8, 7, 7, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 7, 6, 5, 3, 8, 9, 7, 6, 9, 9, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 3, 5, 7, 8, 8, 6, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 0, 8, 0, 0, 10, 1, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 7, 7, 6, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 8, 7, 6, 4, 4, 3, 8, 8, 7, 5, 3, 3, 6, 8, 7, 7, 5, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 4, 3, 6, 11, 11, 6, 0, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 6, 6, 6, 5, 5, 8, 7, 5, 4, 4, 5, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 2, 2, 4, 7, 8, 5, 2, 2, 3, 5, 6, 7, 7, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 8, 8, 7, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 7, 6, 6, 7, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 6, 7, 7, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 7, 5, 2, 3, 8, 7, 6, 5, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 13, 4, 2, 8, 8, 1, 2, 9, 12, 8, 4, 3, 6, 9, 9, 8, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 9, 8, 6, 4, 3, 4, 6, 3, 2, 3, 5, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 9, 9, 6, 6, 8, 9, 7, 4, 5, 6, 7, 7, 5, 3, 2, 4, 4, 4, 4, 5, 6, 7, 7, 2, 3, 4, 5, 6, 6, 6, 6, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 4, 4, 4, 3, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 4, 2, 2, 4, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 8, 7, 7, 17, 28, 21, 7, 3, 5, 6, 5, 3, 2, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 5, 6, 6, 6, 6, 5, 8, 8, 7, 6, 4, 3, 3, 2, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 6, 6, 6, 6, 7, 7, 8, 7, 6, 6, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 4, 3, 4, 12, 15, 10, 5, 5, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 5, 7, 8, 8, 6, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 5, 5, 4, 4, 4, 5, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 0, 12, 13, 10, 13, 29, 15, 20, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 7, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 5, 4, 4, 4, 6, 7, 8, 6, 4, 4, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 4, 3, 6, 10, 10, 6, 1, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 5, 6, 7, 8, 8, 8, 5, 5, 5, 5, 8, 11, 15, 17, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 4, 7, 7, 4, 2, 3, 4, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 7, 7, 6, 5, 5, 5, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 5, 5, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 7, 6, 8, 11, 9, 5, 5, 9, 7, 6, 5, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 0, 0, 8, 18, 16, 9, 12, 23, 10, 7, 3, 3, 5, 7, 8, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9, 8, 5, 4, 3, 4, 6, 4, 2, 2, 5, 6, 5, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 6, 13, 7, 0, 6, 12, 2, 4, 5, 6, 7, 7, 5, 3, 2, 2, 3, 4, 5, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 5, 6, 7, 8, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 8, 6, 3, 2, 3, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 2, 4, 3, 4, 12, 21, 16, 5, 3, 4, 6, 5, 4, 3, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 5, 6, 6, 6, 6, 5, 8, 8, 7, 6, 4, 3, 3, 2, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 8, 8, 7, 6, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 4, 3, 2, 2, 5, 15, 19, 12, 3, 1, 4, 7, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 5, 7, 8, 8, 6, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 4, 4, 3, 2, 4, 4, 4, 4, 4, 5, 7, 7, 8, 8, 7, 6, 4, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 38, 3, 3, 14, 45, 255, 48, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 8, 7, 5, 4, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 8, 7, 5, 4, 4, 5, 7, 6, 5, 4, 4, 4, 5, 5, 3, 3, 3, 4, 4, 4, 4, 5, 6, 4, 4, 6, 9, 9, 5, 2, 5, 4, 4, 3, 3, 4, 4, 5, 2, 3, 5, 7, 8, 9, 10, 10, 3, 3, 4, 5, 8, 12, 15, 17, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 6, 4, 2, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 5, 5, 5, 6, 6, 7, 8, 7, 6, 6, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 4, 4, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 7, 6, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 9, 13, 11, 6, 5, 9, 7, 6, 5, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 0, 8, 21, 28, 18, 5, 6, 17, 8, 6, 3, 3, 4, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 5, 3, 3, 4, 7, 5, 2, 2, 4, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 9, 9, 0, 4, 9, 0, 5, 5, 6, 6, 6, 5, 4, 3, 0, 2, 4, 6, 7, 7, 7, 6, 8, 7, 5, 4, 3, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 8, 8, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 11, 8, 4, 3, 4, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 3, 1, 5, 9, 5, 0, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 2, 3, 3, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 7, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 6, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 3, 3, 2, 6, 13, 15, 9, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 8, 6, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 14, 0, 11, 14, 28, 255, 39, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 6, 8, 8, 6, 4, 3, 4, 6, 6, 5, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 5, 5, 6, 4, 4, 5, 7, 8, 5, 2, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 5, 6, 7, 8, 8, 8, 5, 4, 4, 3, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 5, 4, 3, 6, 6, 6, 6, 5, 4, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 8, 8, 7, 7, 6, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 6, 7, 7, 3, 4, 7, 12, 10, 5, 3, 6, 7, 6, 5, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 11, 22, 24, 13, 0, 0, 3, 6, 4, 3, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 8, 7, 5, 3, 3, 4, 7, 6, 3, 2, 3, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 10, 2, 4, 10, 8, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 3, 1, 2, 4, 6, 7, 7, 6, 6, 9, 7, 5, 4, 3, 3, 4, 5, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 3, 3, 3, 3, 2, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 8, 8, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 8, 6, 3, 3, 4, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 6, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 10, 8, 6, 7, 7, 3, 0, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 2, 3, 3, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 5, 7, 7, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 7, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 4, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 4, 5, 7, 6, 4, 5, 7, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 8, 6, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 0, 11, 11, 6, 16, 46, 19, 13, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 6, 10, 10, 8, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 4, 5, 5, 6, 3, 5, 7, 8, 6, 4, 3, 3, 6, 5, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 3, 6, 5, 4, 3, 2, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 5, 5, 4, 5, 6, 7, 6, 6, 5, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 2, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 5, 6, 7, 7, 3, 3, 7, 11, 10, 4, 3, 5, 7, 6, 5, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 0, 3, 9, 12, 9, 3, 2, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 5, 3, 4, 4, 6, 6, 5, 4, 4, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 6, 2, 9, 5, 1, 10, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 3, 3, 2, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 8, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 2, 1, 2, 4, 4, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 6, 6, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 7, 7, 7, 7, 5, 5, 5, 5, 4, 4, 4, 4, 7, 8, 8, 8, 7, 7, 6, 4, 5, 4, 3, 4, 7, 8, 7, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 6, 5, 4, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 5, 6, 6, 6, 6, 5, 8, 8, 7, 6, 4, 3, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 2, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 3, 3, 1, 1, 5, 10, 7, 0, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 6, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 6, 6, 6, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 2, 2, 3, 4, 6, 7, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 5, 11, 16, 3, 0, 19, 2, 14, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 8, 14, 16, 12, 8, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 4, 5, 7, 6, 4, 3, 3, 4, 5, 5, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 4, 4, 2, 1, 0, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 5, 4, 5, 7, 9, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 3, 4, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 8, 12, 10, 5, 4, 7, 7, 6, 5, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 3, 3, 4, 6, 6, 5, 5, 3, 4, 5, 5, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 6, 4, 3, 4, 5, 4, 6, 7, 7, 5, 4, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 45, 30, 0, 6, 6, 0, 8, 7, 6, 5, 5, 4, 4, 4, 5, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 4, 3, 2, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 2, 2, 3, 6, 8, 8, 6, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 8, 9, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 5, 6, 5, 4, 5, 7, 5, 4, 3, 4, 7, 9, 8, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 7, 6, 4, 3, 4, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 5, 6, 6, 6, 6, 5, 8, 8, 7, 6, 4, 3, 3, 2, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 4, 3, 3, 4, 5, 5, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 4, 5, 5, 6, 7, 7, 10, 9, 7, 5, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 3, 25, 13, 4, 6, 7, 3, 3, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 8, 7, 4, 3, 6, 9, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 7, 6, 6, 6, 6, 5, 8, 7, 6, 5, 4, 3, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 4, 2, 3, 4, 4, 5, 6, 6, 5, 5, 8, 10, 6, 4, 3, 4, 5, 6, 5, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 5, 6, 6, 4, 3, 4, 5, 6, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 3, 4, 4, 5, 7, 8, 9, 8, 6, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 6, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 4, 6, 8, 6, 6, 5, 5, 6, 6, 7, 8, 6, 5, 4, 3, 3, 3, 3, 4, 0, 9, 13, 4, 0, 5, 7, 2, 2, 3, 4, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 7, 7, 8, 8, 5, 6, 4, 2, 5, 11, 10, 4, 6, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 5, 6, 6, 4, 3, 3, 5, 8, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 19, 21, 17, 9, 3, 4, 5, 3, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 2, 4, 4, 5, 2, 0, 4, 2, 7, 6, 5, 4, 4, 5, 6, 7, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 2, 3, 3, 4, 5, 6, 6, 7, 3, 7, 7, 3, 2, 6, 5, 1, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 7, 8, 6, 4, 3, 4, 5, 7, 6, 4, 3, 3, 4, 6, 7, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 7, 6, 4, 3, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 4, 5, 6, 6, 6, 4, 3, 2, 10, 8, 6, 5, 3, 6, 19, 32, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 7, 7, 7, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 3, 3, 4, 6, 8, 9, 18, 15, 11, 7, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 26, 13, 6, 10, 11, 5, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 6, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 6, 9, 8, 4, 3, 6, 10, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 5, 4, 4, 9, 8, 7, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 6, 4, 2, 3, 4, 3, 5, 6, 5, 5, 6, 8, 10, 7, 5, 4, 5, 6, 7, 6, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 5, 6, 5, 4, 3, 3, 5, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 4, 4, 4, 5, 6, 6, 7, 8, 7, 5, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 7, 7, 7, 6, 6, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 4, 4, 5, 6, 7, 7, 6, 5, 4, 3, 2, 3, 4, 4, 1, 6, 8, 4, 1, 4, 9, 11, 4, 5, 6, 6, 6, 5, 4, 3, 7, 6, 5, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 3, 0, 5, 13, 10, 2, 5, 5, 4, 4, 4, 3, 3, 3, 5, 4, 4, 4, 4, 4, 3, 3, 8, 8, 8, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 5, 6, 6, 4, 3, 3, 5, 8, 7, 7, 5, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 8, 12, 12, 7, 4, 5, 5, 3, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 8, 6, 9, 6, 0, 7, 6, 5, 3, 2, 2, 3, 5, 6, 6, 6, 4, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 6, 6, 7, 7, 8, 8, 7, 6, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 5, 7, 7, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 9, 8, 8, 7, 6, 5, 4, 4, 2, 2, 3, 4, 5, 5, 5, 5, 2, 3, 3, 4, 4, 3, 3, 2, 1, 2, 2, 3, 4, 5, 6, 6, 3, 8, 9, 4, 3, 7, 6, 0, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 6, 7, 5, 3, 1, 1, 3, 7, 6, 4, 3, 3, 4, 6, 7, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 4, 5, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 6, 8, 9, 8, 5, 2, 1, 2, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 3, 3, 2, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 2, 2, 3, 5, 6, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 5, 6, 5, 4, 2, 1, 3, 1, 2, 6, 6, 4, 6, 10, 6, 5, 5, 4, 4, 5, 5, 6, 6, 7, 8, 8, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 3, 2, 3, 5, 8, 10, 24, 20, 14, 8, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 13, 1, 0, 5, 8, 3, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 6, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 6, 9, 8, 4, 3, 6, 10, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 8, 8, 7, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 6, 4, 2, 2, 3, 3, 5, 6, 5, 5, 6, 8, 10, 7, 6, 5, 5, 7, 8, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 4, 6, 6, 5, 4, 3, 3, 5, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 6, 5, 4, 5, 6, 6, 5, 6, 7, 6, 4, 3, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 7, 7, 7, 7, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 4, 6, 6, 7, 6, 4, 3, 2, 3, 4, 5, 13, 1, 0, 2, 8, 5, 2, 3, 1, 2, 4, 5, 6, 5, 5, 4, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 6, 6, 7, 8, 2, 9, 5, 0, 12, 38, 43, 28, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 8, 6, 2, 1, 3, 7, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 6, 4, 2, 1, 3, 7, 8, 6, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 6, 7, 6, 3, 1, 9, 8, 6, 5, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 8, 9, 8, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 2, 2, 3, 4, 6, 7, 8, 8, 6, 7, 8, 8, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 6, 6, 5, 3, 3, 5, 7, 9, 8, 7, 7, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 9, 9, 8, 7, 7, 6, 4, 3, 3, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 7, 8, 9, 10, 10, 4, 4, 3, 3, 3, 4, 5, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 4, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 5, 3, 3, 5, 7, 3, 3, 4, 4, 5, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 3, 11, 11, 1, 22, 0, 0, 14, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 1, 5, 16, 25, 17, 2, 0, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 3, 3, 2, 6, 5, 5, 4, 4, 5, 5, 6, 4, 7, 8, 7, 5, 4, 6, 8, 5, 6, 6, 6, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 2, 8, 8, 3, 2, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 5, 3, 2, 4, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 2, 1, 6, 10, 9, 5, 3, 6, 6, 5, 4, 4, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 7, 9, 12, 10, 7, 5, 5, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 7, 7, 8, 8, 9, 15, 13, 11, 8, 6, 4, 3, 3, 3, 3, 4, 5, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 8, 6, 3, 3, 4, 5, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 6, 6, 6, 7, 9, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 5, 4, 4, 5, 4, 2, 7, 1, 3, 2, 18, 0, 9, 0, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 2, 5, 8, 9, 7, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 5, 7, 6, 3, 2, 4, 6, 7, 4, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 10, 0, 18, 1, 0, 22, 0, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 7, 6, 6, 6, 5, 5, 3, 4, 5, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 7, 7, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 1, 13, 0, 3, 15, 0, 9, 2, 2, 3, 4, 4, 3, 2, 2, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 3, 3, 4, 5, 6, 8, 10, 11, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 6, 6, 7, 8, 1, 6, 3, 0, 4, 19, 18, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 6, 7, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 9, 10, 10, 7, 4, 3, 6, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 7, 6, 6, 7, 8, 8, 5, 3, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 7, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 6, 6, 5, 3, 3, 5, 7, 8, 8, 7, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 7, 6, 8, 6, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 5, 4, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 3, 3, 4, 6, 3, 4, 4, 4, 4, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 2, 3, 1, 3, 0, 6, 3, 0, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 2, 4, 13, 21, 15, 2, 0, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 6, 8, 7, 5, 4, 5, 8, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 3, 4, 8, 8, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 5, 3, 3, 4, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 2, 2, 4, 6, 6, 4, 2, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 4, 5, 5, 3, 4, 6, 8, 10, 8, 5, 4, 5, 5, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 7, 8, 7, 4, 2, 1, 2, 8, 8, 7, 6, 6, 6, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 8, 5, 3, 3, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 5, 5, 6, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 5, 4, 4, 5, 4, 2, 4, 8, 19, 8, 4, 0, 2, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 7, 9, 9, 7, 5, 4, 5, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 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5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 6, 6, 5, 3, 3, 5, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 10, 8, 5, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 7, 6, 5, 4, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 5, 3, 3, 5, 7, 5, 5, 5, 4, 4, 4, 4, 3, 7, 6, 5, 4, 4, 4, 4, 5, 12, 11, 9, 15, 0, 16, 18, 3, 6, 6, 5, 5, 5, 5, 4, 4, 7, 7, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 5, 3, 8, 15, 13, 4, 1, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 6, 7, 6, 5, 4, 5, 7, 7, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 4, 7, 7, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 5, 3, 3, 4, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 2, 4, 4, 4, 2, 3, 5, 7, 8, 6, 3, 3, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 3, 6, 7, 6, 5, 10, 19, 27, 5, 5, 5, 4, 5, 5, 6, 7, 7, 7, 6, 5, 5, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 3, 3, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 7, 5, 4, 5, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 4, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 9, 7, 4, 4, 5, 5, 4, 3, 2, 4, 19, 5, 0, 13, 0, 10, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 8, 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6, 3, 4, 9, 10, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 5, 5, 5, 5, 6, 8, 7, 7, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 5, 6, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 3, 3, 5, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 7, 7, 4, 3, 5, 5, 4, 5, 5, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 3, 5, 7, 6, 4, 2, 2, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 2, 3, 15, 34, 50, 8, 7, 6, 5, 4, 4, 4, 5, 3, 3, 4, 5, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 4, 3, 4, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 7, 5, 4, 4, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 4, 4, 5, 5, 4, 3, 8, 0, 6, 0, 2, 46, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 6, 4, 4, 5, 7, 3, 5, 7, 9, 9, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 5, 4, 4, 4, 9, 4, 1, 2, 3, 3, 4, 7, 4, 4, 4, 3, 3, 2, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 0, 25, 23, 7, 2, 10, 20, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 15, 14, 12, 10, 8, 6, 4, 3, 3, 4, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 5, 6, 7, 7, 6, 5, 5, 4, 3, 3, 10, 7, 4, 19, 6, 10, 42, 16, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 3, 1, 1, 3, 6, 7, 7, 6, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 5, 4, 6, 7, 4, 2, 4, 9, 7, 1, 2, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 10, 9, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 8, 7, 7, 6, 6, 5, 5, 4, 10, 4, 5, 18, 35, 36, 20, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 5, 6, 6, 5, 3, 4, 5, 6, 5, 4, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 6, 6, 5, 3, 3, 5, 7, 5, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 11, 8, 6, 5, 5, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 5, 6, 6, 6, 5, 5, 4, 3, 3, 2, 2, 3, 2, 2, 2, 3, 4, 5, 6, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 5, 3, 2, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 8, 6, 6, 8, 10, 10, 9, 8, 7, 6, 5, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 0, 4, 9, 4, 63, 21, 2, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 6, 2, 2, 5, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 5, 5, 5, 5, 4, 7, 7, 6, 5, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 5, 3, 3, 5, 7, 4, 5, 5, 6, 6, 5, 5, 4, 1, 4, 4, 0, 1, 5, 4, 0, 4, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 4, 5, 6, 5, 4, 5, 7, 9, 5, 3, 2, 2, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 9, 8, 3, 0, 5, 19, 31, 8, 8, 7, 6, 5, 6, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 3, 3, 4, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 7, 5, 4, 4, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 4, 4, 5, 6, 5, 4, 11, 0, 6, 5, 14, 59, 13, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 4, 2, 2, 3, 5, 2, 3, 5, 7, 7, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 4, 4, 3, 3, 5, 0, 0, 6, 8, 4, 1, 2, 4, 4, 4, 3, 3, 2, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 13, 0, 3, 15, 5, 255, 40, 18, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 9, 8, 7, 6, 5, 4, 3, 2, 3, 3, 4, 4, 4, 3, 3, 2, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 4, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 8, 5, 0, 15, 0, 3, 34, 8, 6, 6, 7, 7, 7, 7, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 4, 2, 2, 4, 7, 9, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 7, 6, 5, 4, 5, 7, 7, 5, 5, 6, 5, 2, 4, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 12, 16, 13, 8, 4, 4, 6, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 11, 3, 3, 20, 40, 43, 24, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 3, 1, 1, 3, 5, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 6, 6, 5, 3, 3, 5, 7, 5, 6, 7, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 9, 6, 4, 4, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 5, 6, 7, 5, 5, 5, 4, 4, 3, 3, 2, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 3, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 8, 7, 7, 8, 10, 9, 9, 8, 7, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 10, 10, 110, 50, 11, 9, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 6, 6, 7, 7, 5, 6, 6, 6, 6, 5, 4, 3, 4, 3, 3, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 4, 3, 4, 5, 6, 5, 3, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 6, 2, 1, 3, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 5, 4, 4, 6, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 8, 7, 5, 8, 15, 11, 1, 4, 4, 4, 4, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 7, 7, 7, 5, 6, 7, 6, 5, 5, 7, 9, 6, 4, 3, 3, 5, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 0, 5, 10, 10, 6, 4, 5, 9, 5, 5, 5, 5, 6, 8, 9, 10, 7, 7, 6, 5, 5, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 5, 7, 8, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 7, 5, 4, 5, 7, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 5, 6, 5, 4, 3, 0, 11, 7, 9, 31, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 5, 4, 2, 1, 2, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 2, 8, 20, 23, 13, 3, 0, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 0, 13, 12, 0, 24, 83, 46, 0, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 1, 1, 2, 3, 5, 6, 7, 7, 3, 4, 4, 4, 4, 3, 2, 2, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 3, 3, 8, 0, 3, 20, 4, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 9, 8, 5, 3, 3, 5, 8, 9, 7, 7, 6, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 8, 9, 8, 6, 6, 7, 6, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 10, 11, 11, 9, 7, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 7, 2, 1, 10, 22, 24, 14, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 5, 2, 2, 3, 4, 4, 3, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 6, 6, 5, 3, 3, 5, 7, 5, 6, 8, 9, 8, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 5, 6, 7, 6, 4, 2, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 5, 5, 4, 4, 4, 4, 9, 9, 7, 6, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 5, 5, 7, 9, 6, 6, 6, 5, 4, 4, 3, 3, 7, 6, 5, 4, 4, 4, 4, 5, 0, 0, 0, 0, 70, 29, 3, 0, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 5, 6, 6, 6, 6, 5, 4, 3, 1, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 4, 2, 3, 5, 6, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 7, 3, 3, 8, 9, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 4, 4, 6, 8, 4, 5, 5, 6, 6, 5, 5, 4, 6, 10, 9, 8, 16, 24, 17, 2, 4, 3, 3, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 4, 5, 6, 5, 4, 4, 6, 8, 8, 6, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 0, 3, 9, 11, 11, 8, 6, 6, 5, 4, 4, 4, 5, 6, 7, 8, 7, 7, 6, 5, 5, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 3, 2, 3, 5, 8, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 5, 5, 6, 8, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 3, 3, 5, 6, 6, 5, 1, 0, 8, 2, 5, 1, 2, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 2, 4, 6, 6, 4, 3, 2, 2, 6, 5, 4, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 10, 5, 9, 23, 27, 16, 6, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 12, 1, 0, 3, 26, 0, 24, 20, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 4, 5, 6, 7, 8, 9, 6, 6, 6, 6, 6, 5, 4, 3, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 7, 3, 3, 4, 5, 5, 6, 7, 7, 6, 3, 10, 3, 2, 11, 7, 8, 5, 5, 6, 6, 6, 6, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 8, 6, 4, 3, 3, 4, 6, 8, 11, 10, 9, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 2, 6, 6, 3, 4, 9, 5, 0, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 6, 9, 9, 4, 0, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 1, 1, 2, 2, 3, 4, 4, 4, 6, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 9, 7, 4, 3, 4, 5, 5, 4, 9, 8, 6, 5, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 2, 3, 5, 6, 6, 5, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 3, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 6, 6, 5, 3, 3, 5, 7, 6, 7, 9, 10, 9, 8, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 4, 5, 7, 8, 4, 2, 1, 1, 3, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 15, 14, 11, 9, 6, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 4, 5, 6, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 10, 9, 9, 8, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 5, 3, 3, 5, 7, 4, 4, 3, 3, 3, 2, 2, 2, 7, 6, 5, 4, 4, 4, 4, 5, 2, 7, 10, 0, 15, 1, 3, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 5, 6, 6, 6, 6, 5, 4, 3, 0, 4, 7, 7, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 3, 2, 3, 5, 6, 4, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 0, 5, 5, 3, 6, 14, 18, 15, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 4, 6, 8, 4, 5, 5, 6, 6, 5, 5, 4, 1, 4, 3, 3, 13, 23, 14, 0, 3, 3, 3, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 4, 4, 3, 3, 5, 7, 9, 7, 5, 5, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 5, 4, 3, 3, 3, 3, 8, 7, 5, 4, 3, 2, 2, 2, 3, 3, 4, 5, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 2, 2, 3, 5, 8, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 6, 6, 6, 7, 9, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 7, 5, 3, 3, 5, 6, 6, 5, 11, 4, 3, 0, 13, 0, 10, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 2, 5, 8, 9, 7, 4, 3, 3, 9, 7, 5, 4, 4, 5, 7, 9, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 6, 13, 2, 0, 9, 13, 7, 4, 7, 4, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 9, 0, 15, 7, 17, 18, 2, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 3, 3, 2, 2, 8, 8, 8, 8, 8, 7, 6, 5, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 7, 7, 2, 2, 3, 4, 6, 7, 8, 8, 3, 0, 12, 0, 3, 15, 0, 9, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 3, 2, 2, 3, 5, 5, 15, 13, 11, 8, 6, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 4, 5, 7, 8, 7, 6, 6, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 8, 7, 6, 5, 4, 5, 6, 7, 5, 5, 4, 4, 4, 5, 6, 6, 3, 3, 4, 6, 8, 8, 5, 2, 2, 4, 6, 6, 4, 3, 3, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 6, 6, 7, 7, 8, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 4, 4, 3, 5, 8, 11, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 4, 3, 3, 4, 5, 3, 2, 6, 4, 3, 4, 7, 8, 5, 2, 3, 4, 6, 7, 8, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 10, 9, 7, 5, 3, 2, 1, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 2, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 6, 6, 3, 5, 11, 11, 5, 13, 8, 9, 13, 9, 0, 0, 6, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 5, 4, 3, 2, 2, 1, 4, 4, 4, 5, 5, 6, 6, 7, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 5, 3, 3, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 8, 13, 8, 3, 4, 4, 1, 3, 3, 3, 3, 3, 3, 3, 3, 9, 2, 2, 13, 16, 0, 0, 19, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 7, 6, 6, 5, 5, 5, 7, 0, 14, 3, 9, 0, 0, 14, 7, 7, 6, 6, 4, 4, 3, 3, 6, 6, 6, 6, 6, 5, 3, 3, 6, 5, 5, 5, 6, 8, 10, 12, 8, 8, 7, 6, 6, 7, 8, 8, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 6, 8, 7, 6, 5, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 4, 6, 5, 1, 8, 12, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 4, 4, 4, 3, 3, 3, 1, 2, 2, 3, 3, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 7, 7, 7, 7, 6, 11, 7, 4, 5, 9, 10, 5, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 2, 7, 9, 2, 2, 6, 3, 4, 3, 3, 3, 3, 4, 5, 6, 2, 2, 3, 3, 4, 5, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 5, 5, 5, 4, 4, 3, 3, 3, 11, 5, 4, 7, 8, 4, 3, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 4, 3, 3, 3, 4, 4, 3, 2, 2, 4, 6, 6, 5, 3, 6, 6, 6, 5, 5, 4, 4, 4, 1, 3, 5, 6, 7, 7, 6, 5, 7, 6, 5, 5, 6, 6, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 4, 5, 5, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 3, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 2, 2, 3, 5, 7, 7, 5, 2, 1, 3, 4, 4, 2, 1, 2, 3, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 4, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 4, 3, 4, 7, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 7, 5, 4, 4, 5, 5, 4, 2, 6, 4, 3, 5, 7, 7, 5, 2, 3, 4, 6, 7, 8, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 2, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 6, 2, 3, 8, 7, 3, 0, 0, 0, 0, 3, 8, 7, 3, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 5, 6, 6, 6, 6, 5, 7, 6, 6, 5, 4, 3, 3, 2, 4, 4, 5, 6, 6, 6, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 3, 6, 5, 4, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 10, 15, 10, 5, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 3, 9, 6, 10, 9, 23, 13, 1, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 6, 5, 5, 4, 4, 7, 5, 11, 1, 7, 9, 7, 0, 7, 7, 6, 5, 5, 4, 3, 3, 5, 6, 6, 6, 6, 5, 4, 3, 6, 5, 5, 5, 5, 7, 8, 10, 7, 7, 6, 6, 6, 6, 7, 7, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 7, 6, 5, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 6, 7, 4, 10, 13, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 6, 7, 6, 6, 6, 6, 4, 2, 4, 6, 7, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 3, 7, 6, 3, 6, 10, 9, 7, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 8, 5, 5, 5, 4, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 5, 4, 4, 5, 7, 8, 6, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 9, 7, 6, 7, 7, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 6, 6, 7, 7, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 9, 8, 6, 5, 4, 3, 3, 3, 3, 2, 3, 5, 7, 7, 5, 2, 2, 4, 5, 5, 3, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 6, 7, 7, 7, 7, 6, 5, 5, 6, 6, 5, 3, 3, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 8, 6, 5, 5, 6, 6, 5, 3, 5, 4, 4, 5, 7, 7, 5, 3, 4, 5, 6, 7, 7, 7, 6, 6, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 3, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 6, 7, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 6, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 2, 2, 5, 5, 3, 10, 18, 17, 7, 4, 9, 5, 0, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 5, 4, 3, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 11, 14, 11, 6, 5, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 3, 14, 0, 20, 14, 0, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 4, 4, 4, 4, 0, 16, 8, 2, 0, 10, 12, 0, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 6, 6, 6, 5, 4, 3, 6, 5, 5, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 3, 2, 2, 2, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 0, 5, 7, 3, 8, 9, 0, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 4, 5, 6, 5, 5, 5, 2, 2, 3, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 2, 18, 8, 0, 6, 11, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 10, 9, 8, 7, 5, 4, 3, 2, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 3, 6, 14, 15, 8, 4, 8, 9, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 5, 6, 7, 8, 6, 5, 5, 6, 8, 9, 7, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 8, 6, 5, 6, 7, 6, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 7, 7, 7, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 2, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 5, 5, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 6, 4, 6, 7, 8, 7, 6, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 6, 6, 6, 6, 5, 5, 5, 7, 7, 6, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 6, 7, 7, 6, 4, 5, 5, 5, 6, 6, 6, 5, 4, 5, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 2, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 4, 3, 4, 6, 7, 0, 2, 5, 2, 0, 2, 4, 4, 2, 4, 5, 6, 6, 5, 4, 2, 3, 4, 5, 6, 6, 6, 6, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 6, 7, 7, 7, 5, 3, 1, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 4, 8, 11, 10, 7, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 11, 3, 12, 57, 5, 6, 0, 11, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 0, 20, 9, 8, 0, 8, 17, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 6, 5, 5, 4, 3, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 3, 6, 6, 5, 4, 4, 3, 3, 2, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 3, 3, 2, 3, 3, 4, 4, 5, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 0, 5, 7, 0, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 3, 4, 5, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 7, 7, 7, 6, 6, 6, 5, 5, 7, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 5, 5, 4, 4, 2, 4, 6, 6, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 9, 36, 21, 0, 6, 9, 0, 3, 4, 3, 3, 3, 3, 4, 5, 6, 10, 9, 8, 6, 5, 4, 2, 2, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 7, 7, 6, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 11, 24, 25, 10, 3, 7, 8, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 9, 10, 5, 4, 4, 5, 7, 8, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 6, 5, 4, 3, 2, 4, 3, 2, 4, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 8, 7, 7, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 5, 5, 6, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 6, 7, 7, 6, 5, 5, 6, 8, 9, 8, 6, 6, 7, 8, 7, 6, 6, 9, 11, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 5, 5, 5, 5, 4, 4, 5, 7, 8, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 6, 7, 7, 6, 4, 4, 5, 6, 6, 6, 5, 5, 5, 7, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 6, 7, 7, 8, 8, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 5, 6, 10, 14, 38, 15, 0, 1, 6, 2, 1, 7, 2, 3, 4, 6, 6, 4, 3, 2, 3, 4, 5, 6, 6, 6, 6, 5, 7, 7, 7, 6, 6, 6, 6, 5, 5, 6, 6, 7, 6, 5, 3, 2, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 4, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 10, 1, 25, 89, 36, 17, 0, 9, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 10, 11, 6, 7, 11, 13, 20, 15, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 5, 5, 5, 4, 4, 3, 2, 1, 4, 4, 3, 3, 3, 3, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 4, 3, 3, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 3, 3, 2, 2, 2, 3, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 4, 5, 4, 1, 9, 14, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 3, 4, 5, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 7, 7, 7, 6, 6, 6, 5, 5, 7, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 5, 5, 4, 4, 3, 4, 6, 5, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 13, 44, 32, 4, 9, 9, 1, 10, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 3, 3, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 6, 5, 5, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 9, 22, 23, 9, 1, 6, 7, 0, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 9, 10, 4, 3, 3, 4, 6, 7, 5, 3, 6, 6, 6, 5, 5, 4, 4, 4, 8, 8, 7, 5, 4, 3, 3, 2, 2, 1, 2, 5, 8, 10, 9, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 8, 7, 7, 8, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 2, 3, 4, 5, 6, 6, 6, 5, 3, 3, 3, 4, 5, 6, 8, 9, 7, 6, 5, 6, 8, 9, 8, 7, 4, 4, 5, 4, 3, 4, 7, 10, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 4, 5, 5, 4, 3, 3, 4, 6, 8, 7, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 8, 6, 5, 5, 6, 6, 5, 3, 3, 5, 7, 7, 5, 4, 4, 5, 8, 7, 6, 5, 5, 5, 6, 6, 4, 4, 5, 5, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 7, 7, 8, 9, 9, 8, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 4, 4, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 6, 6, 11, 19, 96, 45, 4, 5, 15, 9, 0, 0, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 4, 4, 5, 6, 6, 6, 5, 3, 3, 7, 7, 4, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 1, 7, 44, 20, 22, 5, 0, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 5, 5, 5, 5, 17, 0, 10, 0, 17, 16, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 2, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 9, 4, 5, 5, 4, 15, 23, 17, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 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4, 6, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 8, 7, 4, 2, 4, 10, 15, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 6, 2, 1, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9, 9, 9, 9, 7, 6, 4, 3, 5, 5, 5, 6, 6, 7, 7, 8, 4, 3, 2, 3, 5, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 4, 2, 2, 3, 5, 7, 7, 6, 5, 3, 2, 1, 1, 2, 3, 5, 6, 7, 6, 5, 4, 7, 7, 7, 6, 6, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 10, 9, 7, 5, 4, 4, 5, 5, 7, 4, 1, 2, 4, 6, 5, 3, 4, 3, 3, 3, 3, 4, 5, 6, 7, 7, 6, 6, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 8, 8, 8, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 7, 6, 6, 7, 8, 8, 8, 7, 5, 4, 3, 4, 5, 6, 6, 7, 8, 8, 8, 8, 7, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 2, 2, 4, 5, 6, 5, 5, 5, 6, 6, 7, 7, 8, 5, 7, 8, 7, 4, 3, 6, 9, 1, 3, 5, 5, 3, 4, 7, 11, 5, 5, 5, 6, 6, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 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5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 7, 8, 8, 7, 4, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 8, 7, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 6, 7, 6, 5, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 6, 3, 2, 4, 6, 2, 3, 3, 3, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 7, 6, 5, 6, 7, 7, 5, 4, 6, 5, 4, 5, 6, 7, 5, 3, 3, 3, 4, 4, 4, 4, 3, 3, 7, 6, 6, 6, 5, 5, 5, 4, 8, 7, 5, 4, 3, 4, 5, 5, 2, 3, 0, 5, 5, 14, 29, 14, 28, 13, 4, 10, 14, 2, 0, 6, 2, 3, 4, 5, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 6, 5, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 6, 5, 4, 3, 3, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 4, 6, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 4, 2, 1, 3, 6, 7, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 5, 3, 2, 3, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 7, 7, 8, 8, 8, 7, 6, 5, 5, 5, 5, 5, 6, 6, 6, 6, 4, 3, 2, 3, 5, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 5, 4, 5, 6, 7, 8, 7, 7, 6, 6, 5, 4, 4, 3, 3, 4, 5, 6, 7, 6, 5, 5, 7, 6, 5, 4, 3, 3, 3, 4, 6, 5, 4, 4, 6, 6, 5, 4, 9, 8, 7, 6, 5, 4, 4, 4, 7, 4, 2, 3, 5, 6, 4, 2, 4, 4, 3, 3, 3, 4, 5, 6, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 6, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 7, 7, 6, 6, 4, 4, 4, 5, 5, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 3, 3, 3, 4, 5, 6, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 7, 6, 4, 4, 6, 8, 2, 4, 6, 5, 3, 4, 7, 9, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 4, 3, 3, 4, 4, 3, 4, 5, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 6, 12, 19, 20, 14, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 8, 6, 4, 4, 5, 7, 7, 6, 4, 5, 6, 6, 6, 6, 5, 4, 7, 7, 7, 6, 5, 5, 5, 5, 4, 4, 3, 3, 5, 9, 13, 16, 5, 6, 6, 5, 4, 3, 5, 7, 3, 4, 4, 5, 6, 7, 7, 8, 5, 3, 3, 5, 9, 11, 11, 9, 5, 5, 5, 6, 6, 7, 7, 7, 7, 8, 6, 2, 0, 6, 19, 30, 20, 0, 19, 6, 5, 22, 0, 13, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 45, 58, 78, 75, 43, 0, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 6, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 7, 6, 5, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 3, 4, 4, 13, 12, 10, 6, 3, 2, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 4, 5, 3, 4, 4, 4, 5, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 8, 6, 4, 6, 8, 9, 6, 3, 6, 5, 4, 4, 6, 6, 5, 4, 3, 4, 5, 6, 6, 5, 4, 3, 6, 5, 5, 5, 4, 4, 4, 3, 6, 6, 5, 5, 5, 4, 4, 4, 0, 20, 16, 19, 1, 0, 17, 0, 0, 12, 14, 1, 3, 6, 4, 7, 2, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 7, 8, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 8, 7, 6, 6, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 6, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 6, 7, 6, 2, 2, 10, 20, 21, 11, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 6, 5, 3, 2, 3, 5, 3, 4, 6, 8, 8, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 4, 3, 3, 2, 4, 5, 6, 7, 8, 8, 7, 7, 5, 5, 5, 5, 4, 4, 4, 4, 5, 3, 2, 3, 5, 6, 6, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 3, 0, 0, 4, 7, 7, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 6, 6, 6, 6, 5, 10, 8, 6, 4, 2, 3, 4, 5, 6, 5, 4, 4, 6, 6, 5, 4, 7, 7, 7, 7, 6, 5, 4, 3, 6, 5, 4, 5, 6, 5, 3, 1, 4, 4, 3, 3, 4, 5, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 6, 5, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 7, 6, 4, 4, 5, 6, 6, 5, 5, 5, 6, 5, 3, 3, 5, 7, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 0, 4, 9, 9, 5, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 3, 7, 13, 14, 9, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 4, 5, 7, 6, 5, 5, 6, 7, 7, 7, 7, 6, 5, 7, 9, 11, 9, 6, 5, 6, 9, 3, 3, 3, 4, 7, 11, 15, 17, 5, 6, 6, 5, 4, 4, 5, 7, 3, 3, 3, 4, 5, 6, 6, 6, 6, 4, 3, 4, 5, 6, 5, 3, 5, 5, 5, 5, 6, 6, 6, 6, 6, 11, 12, 6, 0, 4, 22, 38, 255, 21, 0, 28, 11, 2, 0, 13, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 20, 56, 238, 124, 48, 41, 5, 12, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 7, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 8, 7, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 10, 10, 9, 6, 3, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 7, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 5, 5, 4, 5, 4, 4, 5, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 6, 3, 2, 4, 8, 10, 7, 3, 7, 5, 3, 4, 5, 6, 5, 4, 6, 6, 7, 7, 7, 7, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 5, 6, 6, 6, 5, 4, 4, 21, 18, 0, 0, 19, 19, 18, 26, 47, 28, 15, 5, 0, 4, 11, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 4, 6, 7, 9, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 3, 3, 5, 6, 8, 6, 3, 4, 14, 25, 27, 18, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 5, 4, 4, 4, 4, 3, 5, 8, 9, 9, 8, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 4, 4, 3, 3, 2, 5, 4, 3, 4, 6, 7, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 0, 0, 2, 7, 10, 6, 2, 4, 5, 5, 5, 6, 6, 7, 7, 4, 4, 5, 5, 6, 6, 6, 6, 15, 12, 9, 6, 4, 5, 7, 9, 6, 5, 4, 4, 6, 6, 5, 4, 5, 6, 7, 7, 7, 5, 3, 2, 6, 6, 6, 6, 6, 5, 3, 1, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 6, 7, 6, 5, 3, 2, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 5, 2, 3, 6, 8, 6, 4, 7, 7, 6, 5, 4, 3, 4, 5, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 6, 8, 10, 9, 6, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 0, 2, 5, 6, 3, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 4, 6, 6, 6, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 10, 13, 10, 5, 3, 6, 10, 7, 6, 5, 5, 5, 7, 9, 11, 5, 6, 7, 6, 4, 4, 6, 8, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 0, 8, 15, 11, 3, 2, 10, 20, 25, 10, 26, 0, 0, 20, 2, 11, 8, 7, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 19, 77, 177, 74, 13, 0, 18, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 7, 8, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 5, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 3, 5, 7, 7, 4, 3, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 7, 6, 8, 10, 9, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 7, 4, 2, 3, 5, 7, 5, 3, 7, 5, 3, 3, 5, 6, 6, 5, 8, 6, 5, 4, 4, 5, 6, 8, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 6, 6, 6, 5, 4, 0, 5, 14, 0, 16, 0, 0, 113, 204, 61, 0, 21, 11, 0, 3, 1, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 6, 8, 11, 12, 5, 4, 3, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 6, 5, 4, 4, 6, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 5, 7, 8, 3, 2, 3, 9, 14, 15, 10, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 5, 5, 4, 4, 3, 5, 8, 9, 9, 8, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 5, 5, 5, 4, 4, 3, 3, 2, 5, 4, 3, 4, 6, 7, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 5, 10, 16, 16, 10, 4, 2, 3, 3, 4, 5, 5, 6, 6, 4, 4, 4, 4, 5, 5, 6, 6, 14, 12, 8, 5, 4, 6, 8, 9, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 6, 7, 6, 5, 3, 2, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 4, 5, 6, 7, 6, 5, 3, 2, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 5, 2, 2, 6, 7, 6, 3, 8, 7, 5, 4, 4, 4, 4, 4, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 6, 6, 7, 18, 13, 8, 5, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 5, 4, 4, 7, 7, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 4, 4, 4, 6, 6, 5, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 8, 11, 9, 4, 2, 5, 9, 8, 7, 5, 4, 4, 4, 5, 5, 6, 7, 7, 6, 5, 4, 6, 8, 3, 3, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 10, 10, 6, 3, 3, 4, 26, 0, 0, 19, 8, 11, 24, 0, 8, 7, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 29, 22, 12, 0, 18, 0, 11, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 7, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 6, 5, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 7, 8, 0, 1, 5, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 10, 13, 12, 7, 4, 4, 5, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 8, 8, 5, 3, 3, 4, 4, 4, 5, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 9, 7, 5, 3, 2, 3, 5, 6, 8, 5, 3, 2, 4, 6, 6, 6, 5, 4, 3, 2, 2, 3, 4, 5, 6, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 6, 6, 1, 7, 23, 0, 0, 12, 56, 249, 177, 46, 0, 15, 6, 0, 10, 1, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 9, 10, 11, 6, 5, 3, 2, 2, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 4, 4, 6, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 4, 6, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 5, 6, 6, 5, 3, 3, 4, 6, 8, 8, 6, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 3, 4, 5, 6, 6, 7, 6, 6, 7, 6, 6, 5, 4, 3, 5, 5, 5, 5, 4, 4, 4, 4, 6, 4, 4, 5, 7, 8, 7, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 6, 10, 14, 13, 7, 2, 2, 3, 3, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 9, 7, 5, 3, 3, 4, 6, 7, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 3, 5, 6, 6, 5, 4, 4, 6, 8, 5, 5, 5, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 5, 4, 3, 5, 5, 5, 5, 4, 4, 4, 4, 6, 5, 3, 3, 4, 5, 5, 4, 8, 6, 4, 4, 5, 5, 4, 3, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 21, 14, 6, 3, 5, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 6, 6, 7, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 4, 3, 5, 6, 6, 4, 2, 3, 3, 4, 5, 5, 4, 3, 3, 4, 7, 8, 7, 4, 2, 4, 6, 4, 4, 3, 3, 4, 4, 5, 6, 6, 7, 8, 7, 5, 5, 7, 9, 4, 4, 4, 4, 5, 5, 5, 5, 3, 4, 5, 5, 4, 4, 5, 7, 5, 5, 5, 5, 4, 4, 4, 4, 6, 4, 3, 3, 5, 6, 7, 7, 0, 33, 0, 0, 22, 4, 3, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 20, 8, 11, 0, 12, 16, 0, 16, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 1, 3, 5, 5, 4, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 7, 8, 7, 12, 15, 14, 9, 5, 5, 7, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 3, 4, 5, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 9, 9, 6, 2, 2, 3, 3, 3, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 6, 7, 6, 3, 1, 4, 12, 18, 8, 6, 3, 2, 4, 6, 6, 6, 2, 4, 5, 7, 7, 5, 4, 2, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 4, 3, 4, 5, 7, 8, 9, 0, 11, 4, 22, 16, 0, 47, 33, 18, 7, 0, 0, 11, 15, 4, 4, 4, 3, 2, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 8, 8, 7, 6, 5, 9, 8, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 9, 6, 4, 5, 7, 7, 5, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 4, 5, 7, 8, 7, 6, 4, 5, 5, 6, 6, 5, 5, 4, 1, 1, 3, 4, 5, 4, 2, 1, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 6, 7, 5, 4, 4, 3, 4, 4, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 5, 4, 4, 3, 3, 4, 5, 5, 5, 6, 6, 4, 2, 4, 8, 12, 6, 5, 5, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 7, 6, 5, 5, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 2, 2, 3, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 7, 5, 3, 2, 7, 7, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 3, 3, 4, 6, 8, 5, 3, 3, 5, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 5, 4, 13, 10, 7, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 6, 5, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 3, 3, 5, 6, 6, 4, 2, 4, 4, 5, 6, 6, 5, 4, 4, 6, 6, 6, 6, 5, 4, 4, 4, 3, 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 7, 5, 5, 7, 9, 6, 6, 6, 6, 5, 5, 5, 5, 3, 5, 6, 5, 3, 2, 3, 5, 5, 5, 5, 4, 4, 3, 3, 3, 7, 4, 2, 2, 4, 7, 8, 9, 22, 10, 10, 12, 0, 9, 40, 18, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 19, 0, 7, 10, 3, 28, 0, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 2, 3, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 6, 6, 5, 4, 2, 3, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 7, 8, 8, 13, 17, 16, 10, 5, 6, 8, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 3, 6, 9, 9, 6, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 0, 3, 5, 3, 2, 8, 21, 32, 9, 6, 3, 2, 3, 5, 6, 6, 2, 6, 11, 14, 14, 11, 6, 2, 7, 7, 7, 6, 6, 6, 5, 5, 6, 5, 3, 2, 3, 5, 7, 9, 8, 4, 10, 0, 0, 9, 13, 20, 0, 26, 16, 2, 19, 13, 0, 7, 5, 4, 3, 2, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 2, 0, 0, 11, 9, 7, 6, 6, 7, 9, 11, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 4, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 7, 9, 10, 8, 6, 4, 4, 1, 0, 3, 7, 9, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 6, 4, 5, 7, 8, 6, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 7, 7, 6, 5, 5, 4, 1, 2, 3, 5, 6, 7, 7, 7, 5, 5, 5, 6, 6, 7, 7, 8, 6, 5, 4, 5, 7, 8, 7, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 4, 5, 7, 8, 4, 4, 5, 6, 6, 7, 8, 8, 6, 5, 4, 4, 6, 6, 5, 4, 5, 4, 3, 2, 2, 3, 5, 6, 5, 6, 5, 3, 1, 4, 10, 15, 6, 6, 5, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 5, 4, 3, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 2, 2, 2, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 7, 5, 3, 2, 8, 7, 7, 6, 6, 5, 5, 5, 2, 5, 6, 5, 2, 1, 4, 7, 8, 5, 2, 3, 6, 7, 6, 4, 5, 5, 5, 6, 6, 7, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 7, 7, 6, 4, 3, 3, 6, 8, 6, 3, 2, 4, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 8, 8, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 4, 3, 3, 5, 6, 6, 4, 1, 5, 6, 6, 7, 7, 6, 6, 5, 8, 7, 5, 5, 6, 7, 5, 4, 5, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 7, 5, 5, 7, 9, 7, 6, 6, 6, 6, 6, 6, 6, 3, 5, 7, 5, 1, 0, 1, 3, 5, 5, 5, 4, 4, 3, 3, 3, 2, 4, 6, 7, 6, 5, 4, 4, 17, 0, 13, 15, 0, 16, 23, 8, 2, 3, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 35, 0, 30, 10, 0, 4, 1, 11, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 1, 2, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 5, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 10, 9, 9, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 7, 7, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 0, 8, 44, 88, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 4, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 5, 6, 7, 8, 8, 9, 7, 5, 3, 2, 3, 5, 6, 7, 6, 4, 2, 2, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 3, 5, 6, 6, 6, 3, 3, 3, 5, 7, 8, 7, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 2, 2, 4, 7, 9, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 5, 7, 7, 7, 7, 7, 8, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 8, 9, 4, 3, 6, 6, 2, 4, 4, 4, 5, 5, 6, 6, 6, 7, 5, 4, 6, 8, 9, 6, 3, 3, 4, 6, 8, 9, 9, 9, 8, 5, 2, 0, 1, 4, 6, 5, 3, 4, 4, 4, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 9, 4, 2, 5, 5, 3, 3, 6, 5, 6, 7, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 7, 8, 9, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 4, 8, 7, 5, 4, 3, 3, 4, 5, 1, 3, 5, 6, 7, 7, 6, 5, 6, 7, 7, 8, 8, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 1, 2, 4, 8, 10, 7, 7, 7, 7, 7, 6, 4, 4, 6, 5, 5, 4, 4, 3, 3, 2, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 9, 14, 14, 9, 5, 5, 7, 7, 7, 6, 5, 4, 4, 3, 3, 3, 7, 6, 2, 3, 8, 9, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 2, 3, 4, 4, 4, 5, 7, 9, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 4, 5, 6, 2, 6, 9, 7, 3, 1, 4, 8, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 8, 8, 5, 6, 6, 7, 7, 6, 6, 5, 1, 2, 4, 3, 3, 4, 6, 8, 4, 4, 4, 5, 5, 6, 6, 6, 3, 5, 12, 18, 13, 3, 2, 8, 5, 4, 3, 3, 5, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 5, 6, 7, 8, 7, 6, 6, 5, 5, 4, 4, 3, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 9, 34, 65, 10, 9, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 5, 6, 7, 6, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 6, 7, 7, 8, 7, 5, 4, 3, 4, 5, 5, 19, 17, 14, 10, 8, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 6, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 4, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 6, 8, 5, 5, 6, 6, 6, 6, 5, 5, 3, 4, 5, 5, 6, 5, 5, 5, 7, 7, 6, 6, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 8, 9, 5, 4, 7, 7, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 5, 7, 8, 6, 3, 2, 3, 4, 5, 6, 7, 7, 7, 6, 3, 1, 2, 5, 7, 6, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 3, 4, 8, 9, 6, 5, 7, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 6, 5, 5, 5, 3, 3, 4, 4, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 7, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 6, 7, 7, 8, 8, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 3, 3, 5, 7, 8, 6, 7, 7, 7, 6, 6, 5, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 8, 12, 12, 7, 4, 5, 7, 4, 4, 5, 5, 5, 5, 5, 5, 6, 9, 9, 7, 8, 10, 5, 0, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 5, 5, 6, 7, 8, 12, 15, 12, 6, 3, 5, 9, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 4, 5, 5, 6, 3, 7, 10, 8, 4, 3, 5, 9, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 5, 4, 3, 3, 5, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 7, 13, 18, 13, 5, 4, 9, 5, 4, 3, 3, 5, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 2, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 2, 1, 3, 7, 8, 6, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 6, 6, 7, 7, 8, 8, 7, 6, 4, 3, 2, 2, 5, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 16, 27, 11, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 6, 7, 8, 7, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 18, 16, 12, 9, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 2, 2, 3, 3, 4, 5, 9, 6, 3, 3, 4, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 5, 6, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 2, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 2, 5, 5, 3, 3, 6, 6, 3, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 4, 3, 2, 2, 2, 2, 3, 4, 5, 6, 7, 5, 3, 4, 6, 7, 7, 6, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 3, 5, 9, 9, 5, 3, 4, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 7, 6, 5, 3, 3, 2, 2, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 6, 8, 10, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 5, 5, 6, 6, 6, 5, 4, 3, 8, 7, 6, 5, 4, 3, 3, 4, 6, 6, 7, 7, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 7, 7, 5, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 7, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 9, 8, 5, 3, 5, 7, 1, 2, 3, 5, 6, 6, 6, 6, 3, 5, 5, 4, 6, 8, 6, 1, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 8, 15, 20, 16, 7, 1, 4, 9, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 7, 10, 8, 5, 4, 6, 9, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 5, 5, 6, 6, 6, 6, 5, 5, 5, 6, 6, 5, 3, 2, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 7, 11, 14, 11, 5, 4, 7, 6, 4, 3, 4, 5, 6, 5, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 6, 8, 8, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 2, 5, 11, 13, 10, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 2, 6, 1, 15, 0, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 8, 9, 7, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 3, 3, 3, 4, 4, 5, 4, 5, 6, 6, 6, 5, 4, 4, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 3, 5, 7, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 5, 7, 11, 8, 4, 2, 3, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 5, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 6, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 1, 2, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 5, 4, 3, 4, 3, 2, 1, 2, 3, 5, 6, 6, 5, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 6, 1, 1, 4, 5, 4, 3, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 5, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 7, 6, 5, 5, 6, 9, 12, 14, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 5, 3, 2, 3, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 7, 7, 6, 4, 3, 8, 7, 5, 4, 3, 4, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 7, 7, 5, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 4, 5, 5, 6, 6, 6, 5, 5, 4, 3, 3, 4, 4, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 5, 3, 2, 5, 8, 2, 2, 4, 5, 6, 6, 6, 6, 5, 6, 6, 3, 1, 3, 6, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 6, 2, 7, 12, 12, 7, 4, 5, 8, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 6, 8, 7, 5, 4, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 3, 2, 2, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 6, 5, 3, 3, 5, 7, 4, 4, 4, 5, 5, 6, 6, 6, 2, 4, 7, 8, 6, 2, 2, 3, 6, 5, 3, 4, 6, 6, 5, 4, 3, 4, 5, 5, 5, 5, 4, 3, 5, 7, 10, 12, 12, 10, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 2, 5, 11, 13, 10, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 5, 5, 5, 6, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 10, 0, 20, 1, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 8, 9, 7, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 3, 3, 4, 4, 6, 7, 8, 9, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 6, 4, 4, 7, 9, 12, 8, 4, 2, 3, 4, 4, 3, 7, 6, 6, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 4, 5, 6, 7, 5, 3, 3, 4, 4, 5, 5, 4, 4, 3, 6, 7, 7, 7, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 4, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 4, 4, 3, 3, 6, 5, 3, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 6, 7, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 4, 5, 4, 2, 7, 13, 5, 4, 3, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 6, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 7, 6, 5, 5, 6, 9, 12, 14, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 5, 3, 2, 3, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 7, 7, 6, 5, 4, 5, 5, 4, 3, 4, 5, 7, 8, 5, 5, 6, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 7, 7, 5, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 3, 2, 3, 6, 8, 6, 5, 5, 5, 5, 5, 6, 6, 8, 10, 12, 9, 3, 0, 2, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 1, 2, 4, 6, 8, 8, 6, 4, 4, 4, 4, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 4, 4, 3, 4, 5, 5, 4, 3, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 5, 4, 3, 3, 4, 4, 5, 6, 6, 5, 4, 4, 1, 3, 4, 4, 4, 6, 8, 11, 4, 4, 4, 5, 5, 6, 6, 6, 2, 4, 6, 5, 3, 3, 2, 2, 6, 5, 4, 4, 6, 7, 5, 4, 3, 3, 4, 5, 5, 4, 3, 3, 5, 7, 10, 12, 12, 10, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 7, 7, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 2, 1, 3, 7, 8, 6, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 9, 9, 8, 7, 7, 2, 2, 3, 4, 6, 7, 8, 8, 6, 6, 5, 5, 6, 6, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 9, 0, 15, 1, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 6, 7, 8, 7, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 8, 7, 6, 5, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 7, 9, 7, 5, 4, 7, 11, 10, 7, 4, 3, 4, 4, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 3, 5, 8, 9, 6, 3, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 16, 9, 5, 7, 10, 9, 8, 8, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 6, 6, 7, 3, 4, 5, 4, 3, 3, 5, 7, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 3, 4, 6, 6, 7, 15, 25, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 6, 7, 8, 9, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 3, 3, 4, 6, 8, 10, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 3, 3, 4, 5, 6, 7, 8, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 6, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 5, 6, 7, 10, 8, 6, 4, 4, 5, 8, 9, 8, 6, 6, 8, 7, 3, 2, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 8, 5, 3, 5, 9, 9, 5, 0, 4, 4, 4, 4, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 6, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 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5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 5, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 32, 70, 22, 20, 15, 10, 10, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 4, 4, 5, 6, 7, 7, 8, 8, 5, 4, 3, 5, 6, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 7, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 6, 6, 6, 6, 6, 5, 4, 3, 7, 5, 4, 5, 6, 7, 6, 4, 7, 6, 5, 5, 4, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 6, 4, 2, 3, 4, 4, 5, 5, 6, 6, 7, 3, 4, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 4, 6, 7, 7, 5, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 7, 5, 4, 4, 5, 5, 5, 4, 4, 5, 7, 8, 6, 5, 5, 5, 4, 3, 3, 4, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 4, 3, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 8, 7, 7, 6, 5, 4, 3, 3, 4, 7, 8, 7, 5, 4, 6, 8, 14, 13, 11, 9, 8, 6, 6, 6, 5, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 8, 7, 6, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 6, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 0, 5, 5, 2, 4, 10, 11, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 4, 6, 8, 7, 6, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 6, 7, 7, 7, 7, 6, 7, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 6, 4, 5, 6, 4, 2, 6, 13, 18, 11, 3, 0, 2, 5, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 5, 4, 3, 3, 3, 5, 5, 5, 6, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 6, 3, 5, 6, 5, 4, 4, 6, 8, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 6, 7, 7, 8, 9, 4, 7, 8, 7, 3, 1, 3, 5, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 4, 6, 6, 5, 3, 5, 5, 5, 5, 6, 6, 6, 6, 7, 6, 6, 6, 5, 5, 5, 4, 3, 3, 4, 5, 5, 6, 7, 7, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 4, 3, 3, 4, 6, 8, 8, 6, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 6, 4, 4, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 15, 40, 2, 5, 3, 0, 0, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 6, 7, 8, 9, 6, 5, 4, 6, 7, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 7, 8, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 6, 7, 7, 7, 7, 6, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 6, 6, 5, 5, 6, 6, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 6, 7, 7, 4, 1, 2, 3, 4, 4, 6, 6, 7, 8, 5, 5, 6, 6, 6, 5, 4, 3, 5, 6, 6, 6, 6, 7, 7, 7, 5, 4, 4, 4, 5, 6, 7, 8, 4, 6, 7, 7, 5, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 6, 5, 4, 4, 4, 5, 6, 5, 5, 6, 8, 8, 7, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 6, 6, 7, 4, 4, 3, 2, 2, 3, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 8, 8, 7, 6, 4, 3, 6, 7, 8, 8, 6, 5, 7, 8, 8, 8, 8, 7, 7, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 0, 3, 5, 3, 4, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 4, 6, 7, 7, 6, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 7, 7, 5, 3, 2, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 8, 6, 6, 8, 6, 2, 2, 6, 5, 3, 1, 2, 5, 6, 3, 0, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 6, 5, 4, 3, 3, 3, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 3, 3, 3, 3, 4, 5, 5, 4, 4, 5, 6, 7, 8, 2, 4, 6, 6, 5, 4, 5, 7, 3, 3, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 6, 7, 7, 8, 4, 8, 11, 8, 2, 0, 2, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 5, 5, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 6, 6, 5, 5, 4, 3, 4, 6, 7, 7, 6, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 5, 4, 3, 4, 6, 3, 3, 3, 3, 3, 3, 3, 3, 0, 12, 0, 0, 6, 0, 6, 14, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 6, 5, 5, 5, 5, 6, 8, 9, 6, 6, 5, 6, 8, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 5, 5, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 6, 6, 7, 6, 6, 5, 5, 6, 4, 3, 4, 5, 6, 5, 3, 5, 5, 4, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 8, 10, 8, 4, 1, 2, 3, 3, 4, 6, 7, 7, 8, 6, 6, 6, 6, 5, 4, 4, 3, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 6, 7, 9, 10, 4, 6, 7, 7, 5, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 6, 8, 8, 7, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 7, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 5, 6, 8, 9, 9, 7, 4, 3, 5, 6, 6, 6, 6, 5, 6, 6, 1, 2, 3, 4, 4, 3, 2, 1, 5, 5, 5, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 6, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 3, 5, 7, 7, 5, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 4, 3, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 7, 5, 6, 9, 7, 2, 1, 3, 7, 6, 6, 7, 8, 6, 1, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 7, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 5, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 6, 7, 8, 9, 1, 4, 7, 7, 6, 5, 5, 6, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 10, 12, 10, 4, 1, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 5, 5, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 6, 6, 6, 6, 5, 4, 3, 2, 4, 6, 6, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 4, 3, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 8, 3, 8, 14, 1, 8, 12, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 6, 6, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 8, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 3, 4, 4, 5, 5, 5, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 4, 3, 3, 3, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 9, 11, 10, 6, 2, 3, 3, 4, 5, 5, 6, 7, 7, 7, 6, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 9, 10, 4, 6, 7, 7, 5, 3, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 7, 6, 5, 6, 7, 7, 6, 4, 5, 5, 5, 6, 6, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 7, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 6, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 4, 6, 7, 9, 8, 7, 4, 3, 5, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 7, 7, 7, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 6, 6, 5, 4, 4, 5, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 6, 6, 5, 4, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 8, 8, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 3, 5, 7, 6, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 2, 4, 4, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 7, 7, 7, 5, 3, 4, 8, 8, 4, 2, 3, 1, 1, 2, 3, 4, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 6, 7, 6, 5, 5, 5, 6, 7, 8, 8, 1, 4, 7, 7, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 4, 5, 7, 9, 11, 9, 5, 4, 5, 8, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 4, 6, 6, 5, 3, 5, 5, 5, 5, 4, 4, 4, 4, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 7, 7, 6, 5, 4, 4, 2, 4, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 8, 7, 6, 5, 4, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 4, 4, 2, 1, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 0, 8, 4, 9, 0, 2, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 6, 7, 7, 7, 6, 5, 6, 5, 4, 6, 7, 7, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 2, 3, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 2, 3, 4, 4, 5, 5, 4, 4, 7, 6, 5, 5, 7, 7, 6, 5, 4, 4, 3, 3, 3, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 6, 8, 10, 9, 6, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 5, 4, 4, 4, 5, 6, 7, 8, 4, 6, 7, 7, 5, 3, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 6, 5, 4, 5, 6, 6, 4, 2, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 3, 2, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 7, 8, 8, 7, 6, 6, 6, 7, 8, 8, 7, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 6, 6, 6, 5, 4, 3, 4, 3, 2, 2, 4, 5, 3, 2, 4, 5, 6, 6, 7, 7, 7, 7, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 4, 4, 8, 8, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 2, 4, 6, 6, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 6, 4, 4, 6, 8, 9, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 5, 4, 3, 2, 3, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 6, 6, 7, 8, 8, 5, 1, 2, 7, 8, 5, 3, 4, 5, 4, 4, 3, 3, 3, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 5, 5, 6, 6, 7, 8, 6, 6, 5, 5, 5, 5, 6, 6, 2, 4, 6, 6, 5, 4, 5, 7, 7, 7, 7, 6, 6, 6, 6, 5, 6, 6, 5, 5, 5, 5, 4, 4, 8, 7, 6, 5, 5, 5, 5, 5, 6, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 6, 7, 6, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 7, 7, 7, 6, 5, 4, 3, 5, 6, 6, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 5, 3, 2, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 0, 16, 4, 10, 5, 13, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 3, 5, 7, 9, 9, 7, 5, 3, 5, 4, 3, 5, 6, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 5, 6, 6, 6, 5, 4, 4, 3, 3, 2, 2, 3, 3, 4, 6, 6, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 3, 3, 4, 5, 6, 6, 5, 5, 9, 7, 6, 7, 8, 9, 8, 6, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 5, 3, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 4, 6, 7, 7, 5, 3, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 4, 3, 5, 4, 3, 4, 5, 5, 3, 0, 5, 5, 6, 7, 7, 6, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 8, 8, 7, 5, 4, 5, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 6, 3, 2, 3, 5, 6, 4, 2, 3, 3, 2, 2, 3, 3, 4, 5, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 6, 6, 6, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 7, 7, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 5, 1, 1, 5, 6, 3, 4, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 2, 4, 6, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 4, 3, 3, 2, 3, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 5, 6, 7, 8, 7, 2, 1, 5, 7, 5, 3, 3, 11, 11, 9, 7, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 6, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 4, 4, 5, 6, 7, 7, 7, 6, 5, 4, 3, 3, 3, 3, 3, 5, 6, 5, 4, 4, 6, 8, 6, 6, 6, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 9, 9, 8, 7, 6, 6, 6, 6, 6, 4, 3, 4, 6, 7, 6, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 6, 7, 7, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 7, 7, 7, 7, 6, 5, 4, 4, 6, 8, 8, 6, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 7, 0, 19, 0, 4, 2, 12, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 2, 5, 8, 10, 10, 7, 4, 1, 4, 3, 3, 4, 5, 6, 4, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 5, 6, 7, 8, 7, 6, 5, 4, 3, 3, 2, 2, 3, 3, 4, 7, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 6, 7, 7, 7, 7, 7, 9, 8, 7, 7, 9, 10, 8, 7, 8, 8, 7, 6, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 1, 2, 4, 4, 3, 2, 7, 7, 6, 5, 5, 4, 3, 3, 5, 4, 3, 3, 4, 5, 7, 8, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 4, 6, 7, 7, 5, 3, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 4, 5, 6, 5, 4, 3, 5, 3, 3, 3, 4, 4, 2, 0, 4, 5, 7, 8, 8, 7, 5, 4, 9, 8, 7, 6, 6, 7, 8, 9, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 7, 7, 6, 3, 2, 3, 4, 6, 7, 7, 6, 4, 3, 5, 4, 3, 2, 2, 4, 5, 7, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 2, 3, 3, 2, 2, 2, 3, 4, 4, 7, 5, 3, 4, 6, 7, 5, 3, 5, 5, 3, 2, 2, 3, 5, 6, 6, 5, 3, 2, 2, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 4, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 7, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 9, 9, 3, 4, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 5, 0, 0, 3, 4, 1, 3, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 2, 4, 6, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 2, 4, 5, 5, 4, 2, 1, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 5, 5, 4, 4, 3, 2, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 9, 3, 1, 4, 6, 4, 2, 2, 2, 3, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 7, 7, 8, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 8, 7, 5, 4, 2, 2, 2, 2, 4, 5, 5, 4, 3, 3, 6, 9, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 8, 6, 4, 2, 2, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 7, 6, 6, 6, 5, 4, 3, 1, 1, 6, 7, 8, 8, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 4, 5, 4, 5, 7, 8, 7, 5, 3, 1, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 11, 10, 7, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 5, 3, 1, 0, 0, 4, 4, 3, 3, 3, 2, 2, 2, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 5, 5, 6, 8, 10, 12, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 4, 6, 8, 7, 3, 2, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 6, 6, 7, 7, 1, 2, 4, 5, 6, 5, 4, 3, 1, 4, 10, 14, 14, 11, 7, 4, 6, 6, 7, 9, 10, 9, 6, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 3, 3, 6, 5, 4, 5, 7, 8, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 7, 6, 4, 3, 4, 5, 2, 3, 3, 4, 4, 3, 3, 2, 5, 4, 2, 3, 5, 7, 7, 6, 13, 13, 13, 10, 6, 3, 3, 3, 7, 5, 2, 0, 0, 1, 3, 5, 7, 7, 6, 5, 4, 4, 4, 4, 7, 4, 2, 2, 4, 6, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 7, 8, 8, 7, 5, 5, 2, 3, 3, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 2, 2, 1, 3, 4, 5, 3, 1, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 5, 5, 6, 6, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 9, 7, 5, 3, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 6, 5, 5, 2, 3, 4, 4, 6, 6, 7, 8, 7, 6, 4, 3, 2, 2, 3, 4, 5, 5, 5, 4, 4, 3, 3, 2, 6, 5, 4, 3, 4, 5, 7, 8, 10, 9, 7, 5, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 7, 7, 6, 4, 4, 5, 2, 5, 7, 6, 4, 3, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 10, 10, 8, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 4, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 5, 7, 7, 3, 3, 3, 3, 3, 4, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 5, 1, 1, 5, 8, 6, 4, 9, 8, 8, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 6, 7, 9, 10, 9, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 6, 4, 2, 2, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 4, 3, 5, 5, 5, 6, 6, 7, 7, 8, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 3, 2, 2, 6, 6, 7, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 4, 3, 3, 6, 7, 9, 9, 9, 7, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 9, 8, 5, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 6, 8, 9, 8, 5, 5, 5, 4, 4, 3, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 5, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 4, 4, 4, 4, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 3, 3, 4, 5, 5, 4, 3, 3, 4, 6, 8, 6, 4, 2, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 2, 3, 4, 5, 6, 5, 4, 4, 2, 5, 9, 11, 12, 9, 6, 4, 5, 4, 5, 7, 9, 8, 5, 2, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 3, 6, 5, 4, 5, 7, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 6, 7, 6, 7, 7, 8, 8, 7, 7, 6, 6, 7, 8, 7, 5, 4, 5, 6, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 3, 3, 5, 7, 6, 5, 7, 8, 9, 7, 5, 3, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 5, 5, 4, 3, 3, 3, 4, 4, 6, 4, 2, 3, 5, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 7, 7, 6, 5, 4, 3, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 5, 4, 4, 6, 9, 10, 9, 8, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8, 7, 5, 3, 3, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 6, 5, 5, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 4, 3, 3, 3, 4, 4, 6, 6, 5, 5, 4, 4, 3, 3, 5, 5, 4, 3, 4, 5, 6, 7, 9, 8, 6, 5, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 7, 7, 6, 4, 4, 5, 2, 5, 6, 6, 4, 4, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 9, 10, 8, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 3, 3, 3, 3, 4, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 6, 4, 2, 0, 8, 7, 7, 7, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 8, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 4, 3, 2, 4, 4, 5, 5, 6, 6, 7, 7, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 4, 4, 5, 5, 5, 5, 4, 3, 6, 6, 6, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 2, 3, 5, 6, 4, 1, 6, 7, 8, 9, 8, 7, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 7, 6, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 3, 4, 4, 4, 2, 1, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 3, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 2, 3, 4, 4, 4, 4, 3, 2, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 2, 3, 4, 5, 5, 5, 5, 4, 5, 6, 7, 8, 8, 7, 5, 4, 4, 3, 4, 5, 7, 6, 4, 1, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 4, 5, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 8, 7, 7, 7, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 6, 5, 5, 6, 6, 6, 6, 7, 8, 8, 7, 6, 6, 5, 6, 7, 6, 4, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 4, 4, 5, 6, 5, 4, 2, 3, 5, 5, 3, 3, 4, 6, 4, 5, 6, 7, 6, 5, 3, 2, 3, 3, 2, 2, 3, 3, 4, 5, 6, 4, 3, 3, 5, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 6, 7, 5, 5, 6, 8, 11, 13, 12, 11, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 6, 5, 4, 3, 3, 3, 3, 4, 6, 6, 6, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 5, 6, 6, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 8, 6, 5, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 3, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 5, 4, 4, 5, 3, 4, 6, 6, 4, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 8, 9, 7, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 4, 4, 3, 3, 3, 4, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 10, 9, 5, 2, 2, 3, 6, 6, 6, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 5, 6, 7, 7, 5, 6, 7, 7, 7, 6, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 8, 8, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 5, 6, 6, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 10, 6, 2, 3, 8, 9, 5, 1, 3, 4, 5, 5, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 4, 1, 0, 4, 12, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 2, 2, 2, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 4, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 5, 6, 6, 4, 2, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 8, 8, 8, 7, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 5, 4, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 6, 5, 3, 2, 3, 4, 6, 6, 5, 5, 5, 5, 6, 6, 9, 7, 5, 5, 5, 6, 5, 4, 1, 2, 4, 4, 3, 3, 4, 6, 6, 7, 7, 7, 6, 6, 5, 4, 3, 3, 3, 3, 4, 5, 6, 7, 5, 4, 3, 4, 6, 7, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 3, 3, 2, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 5, 4, 4, 6, 9, 10, 9, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 4, 3, 3, 3, 3, 4, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 6, 7, 5, 3, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 4, 4, 6, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 6, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 6, 5, 4, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 8, 8, 6, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 6, 5, 4, 4, 4, 5, 6, 6, 5, 4, 3, 3, 3, 4, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 2, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 5, 5, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 11, 7, 3, 5, 9, 10, 7, 2, 3, 3, 4, 4, 4, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 7, 7, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 9, 9, 4, 5, 20, 38, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 3, 3, 4, 4, 5, 5, 8, 7, 5, 3, 3, 3, 4, 5, 6, 5, 4, 5, 7, 7, 6, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 7, 8, 6, 5, 4, 4, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 8, 8, 8, 7, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 3, 3, 6, 7, 8, 7, 5, 4, 5, 6, 6, 5, 4, 3, 3, 4, 5, 6, 10, 8, 5, 5, 6, 6, 5, 4, 4, 5, 6, 5, 3, 3, 4, 5, 10, 8, 6, 4, 4, 5, 6, 8, 5, 5, 5, 5, 5, 6, 8, 8, 5, 4, 3, 4, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 3, 3, 2, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 6, 5, 5, 5, 7, 7, 5, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 4, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 6, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 6, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 5, 4, 3, 5, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 4, 5, 7, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 4, 3, 3, 3, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 0, 3, 10, 12, 8, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 10, 8, 5, 3, 3, 5, 8, 10, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 7, 7, 6, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 10, 7, 5, 5, 8, 9, 6, 4, 5, 5, 5, 5, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 6, 8, 10, 10, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 9, 10, 3, 1, 15, 35, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 6, 5, 4, 3, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 3, 3, 4, 4, 8, 7, 6, 6, 6, 6, 7, 8, 7, 6, 4, 4, 6, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 7, 6, 5, 3, 3, 4, 5, 6, 7, 5, 4, 5, 6, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 6, 8, 9, 6, 5, 4, 4, 5, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 8, 7, 7, 7, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 9, 10, 11, 10, 8, 7, 8, 9, 6, 5, 4, 3, 3, 4, 5, 6, 9, 7, 5, 5, 6, 7, 7, 6, 6, 7, 7, 6, 4, 3, 3, 5, 10, 8, 5, 3, 3, 4, 7, 8, 7, 7, 6, 6, 6, 7, 8, 8, 4, 3, 3, 5, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 6, 6, 6, 7, 9, 7, 6, 7, 8, 7, 5, 2, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 5, 6, 5, 4, 3, 3, 3, 3, 4, 6, 6, 6, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 7, 7, 5, 2, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 7, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 3, 3, 5, 7, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 6, 5, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 9, 9, 8, 6, 5, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 7, 17, 28, 28, 15, 1, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 6, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 7, 5, 5, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 7, 7, 7, 7, 6, 5, 4, 3, 4, 4, 3, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 8, 7, 6, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 3, 5, 4, 4, 4, 5, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 9, 11, 10, 6, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 3, 5, 8, 3, 0, 0, 13, 6, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 7, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 7, 7, 7, 6, 5, 4, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 4, 4, 4, 4, 5, 5, 7, 7, 6, 5, 5, 6, 7, 7, 8, 5, 4, 4, 6, 6, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 2, 3, 4, 5, 6, 6, 6, 5, 4, 5, 5, 7, 7, 6, 4, 3, 3, 5, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 4, 6, 9, 10, 7, 5, 3, 4, 5, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 4, 5, 6, 6, 6, 6, 5, 4, 8, 9, 10, 9, 7, 6, 7, 8, 8, 7, 5, 3, 3, 5, 7, 8, 8, 6, 5, 5, 7, 8, 8, 7, 5, 6, 7, 6, 4, 3, 4, 5, 8, 7, 5, 4, 4, 4, 5, 6, 8, 7, 6, 5, 5, 5, 6, 6, 4, 3, 4, 5, 7, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 8, 8, 6, 5, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 5, 6, 7, 3, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 7, 6, 6, 7, 8, 8, 6, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 7, 7, 5, 2, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 5, 3, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 6, 5, 5, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 3, 4, 6, 7, 7, 7, 6, 6, 3, 3, 4, 4, 5, 5, 6, 6, 3, 4, 5, 6, 7, 6, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 3, 3, 5, 8, 6, 4, 2, 4, 6, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 5, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 4, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 10, 19, 27, 26, 15, 5, 3, 4, 4, 4, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 2, 3, 4, 5, 7, 7, 6, 6, 5, 5, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 10, 9, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 4, 4, 4, 4, 8, 8, 8, 7, 6, 5, 3, 3, 4, 3, 2, 2, 3, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 8, 8, 6, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 4, 2, 1, 2, 3, 2, 2, 2, 2, 2, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 4, 8, 12, 10, 5, 0, 4, 4, 4, 4, 4, 4, 4, 4, 3, 0, 0, 9, 11, 3, 1, 7, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 6, 5, 4, 7, 7, 6, 6, 4, 4, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 8, 5, 3, 4, 6, 7, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 4, 6, 7, 5, 5, 5, 5, 6, 7, 8, 8, 5, 3, 1, 1, 3, 4, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 4, 6, 9, 11, 7, 5, 3, 3, 4, 5, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 2, 2, 3, 4, 4, 3, 2, 2, 5, 6, 7, 6, 4, 3, 4, 5, 9, 8, 6, 5, 5, 6, 8, 9, 7, 6, 4, 5, 7, 9, 9, 8, 2, 4, 5, 5, 3, 3, 4, 6, 5, 5, 6, 6, 6, 5, 3, 3, 7, 7, 6, 5, 4, 4, 4, 4, 4, 3, 4, 6, 8, 8, 6, 3, 6, 6, 6, 6, 6, 6, 6, 6, 2, 4, 6, 7, 7, 6, 4, 2, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 5, 5, 5, 5, 7, 8, 2, 3, 3, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 4, 3, 3, 5, 7, 7, 6, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 3, 5, 7, 7, 4, 2, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 6, 5, 5, 2, 3, 4, 4, 6, 6, 7, 8, 3, 4, 6, 7, 8, 8, 7, 6, 2, 3, 3, 4, 4, 5, 5, 5, 2, 3, 5, 6, 7, 6, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 3, 3, 5, 8, 6, 4, 2, 3, 7, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 5, 4, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 3, 2, 2, 2, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 7, 7, 5, 4, 4, 4, 4, 4, 6, 6, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 2, 3, 7, 8, 7, 5, 4, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 6, 6, 7, 8, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 8, 6, 4, 2, 2, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 5, 4, 5, 5, 6, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 5, 4, 4, 6, 7, 7, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 7, 4, 3, 4, 5, 5, 4, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 4, 2, 2, 4, 6, 8, 3, 4, 6, 7, 8, 7, 6, 5, 7, 6, 5, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 6, 5, 5, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 5, 4, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 1, 9, 7, 5, 5, 6, 8, 8, 8, 4, 5, 5, 6, 5, 4, 2, 1, 6, 5, 5, 4, 4, 3, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 4, 3, 2, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 5, 6, 5, 4, 2, 1, 9, 8, 7, 6, 7, 10, 12, 14, 7, 6, 6, 5, 5, 6, 6, 7, 2, 4, 5, 5, 5, 5, 6, 8, 7, 6, 5, 5, 7, 7, 6, 5, 9, 7, 4, 2, 1, 2, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 6, 5, 5, 7, 9, 5, 4, 4, 4, 4, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 3, 4, 6, 8, 9, 8, 7, 8, 7, 6, 5, 5, 5, 6, 6, 6, 5, 3, 2, 2, 3, 5, 6, 7, 6, 4, 2, 4, 10, 18, 24, 10, 8, 6, 4, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 9, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 6, 8, 8, 8, 6, 5, 10, 7, 5, 5, 8, 9, 8, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 3, 4, 6, 7, 7, 6, 4, 3, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 6, 8, 9, 8, 6, 4, 3, 4, 5, 6, 5, 3, 2, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 2, 2, 2, 5, 10, 15, 18, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 1, 3, 5, 6, 7, 7, 6, 5, 7, 4, 13, 3, 1, 8, 0, 2, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 5, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 7, 5, 3, 4, 6, 7, 5, 3, 0, 1, 3, 4, 5, 6, 6, 6, 5, 4, 3, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 7, 10, 10, 8, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 9, 6, 3, 5, 11, 17, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 4, 3, 3, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 0, 0, 2, 4, 6, 5, 4, 6, 5, 3, 2, 2, 3, 5, 6, 4, 5, 6, 6, 4, 4, 5, 6, 3, 4, 6, 6, 4, 4, 6, 7, 0, 4, 5, 4, 5, 8, 8, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 5, 4, 2, 1, 9, 8, 7, 6, 6, 7, 8, 9, 8, 7, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 6, 7, 8, 5, 4, 4, 6, 7, 7, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 6, 4, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 6, 6, 6, 5, 5, 5, 8, 7, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 8, 8, 6, 5, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 3, 4, 5, 6, 6, 5, 3, 2, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 4, 4, 9, 6, 4, 4, 5, 6, 6, 6, 4, 5, 5, 6, 5, 4, 3, 2, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 4, 3, 2, 6, 5, 4, 4, 5, 7, 9, 11, 7, 6, 6, 5, 5, 6, 6, 7, 3, 5, 6, 6, 4, 4, 5, 7, 7, 6, 5, 5, 7, 7, 6, 5, 7, 6, 4, 3, 4, 5, 7, 9, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 6, 7, 7, 7, 5, 4, 4, 4, 5, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 3, 4, 5, 8, 9, 8, 6, 8, 7, 6, 5, 5, 5, 5, 6, 7, 6, 5, 4, 4, 5, 6, 7, 4, 4, 5, 4, 4, 6, 10, 13, 9, 7, 5, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 9, 6, 6, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 3, 2, 2, 3, 10, 8, 5, 5, 7, 7, 6, 4, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 4, 4, 6, 6, 6, 6, 4, 4, 2, 3, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 6, 7, 8, 8, 6, 4, 3, 4, 5, 6, 6, 4, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 2, 2, 4, 7, 9, 11, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 5, 6, 6, 6, 5, 5, 4, 2, 11, 2, 3, 13, 7, 12, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 7, 5, 3, 4, 6, 7, 5, 3, 2, 3, 3, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 9, 9, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 6, 5, 4, 7, 15, 21, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 7, 8, 7, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 6, 6, 4, 4, 5, 6, 3, 4, 6, 6, 4, 4, 6, 7, 6, 9, 9, 5, 5, 7, 6, 2, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 3, 8, 7, 6, 5, 5, 6, 7, 8, 8, 7, 6, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 6, 5, 4, 3, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 8, 9, 10, 5, 4, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 3, 5, 6, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 5, 6, 6, 8, 8, 7, 6, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 8, 8, 6, 5, 6, 6, 2, 2, 3, 3, 3, 4, 4, 4, 2, 3, 5, 7, 7, 6, 4, 2, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 5, 7, 8, 9, 6, 4, 3, 4, 5, 4, 3, 4, 5, 5, 5, 5, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 5, 7, 9, 6, 6, 5, 5, 5, 5, 6, 6, 4, 6, 7, 6, 4, 3, 4, 6, 7, 5, 4, 5, 6, 7, 6, 4, 5, 5, 4, 5, 6, 9, 11, 13, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 7, 11, 12, 9, 6, 4, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 8, 8, 7, 5, 7, 7, 6, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 6, 7, 7, 2, 5, 7, 7, 6, 4, 4, 5, 7, 6, 5, 4, 4, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 6, 7, 8, 5, 4, 4, 4, 4, 3, 3, 3, 4, 6, 6, 3, 1, 1, 5, 9, 10, 8, 5, 4, 5, 5, 4, 2, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 6, 7, 8, 7, 6, 4, 3, 2, 5, 7, 7, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 3, 3, 3, 3, 3, 3, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 6, 5, 4, 3, 7, 2, 9, 0, 1, 11, 2, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 6, 5, 4, 3, 3, 4, 5, 6, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 5, 5, 5, 7, 14, 19, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 7, 8, 7, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 6, 6, 4, 4, 5, 6, 3, 4, 6, 6, 4, 4, 6, 7, 6, 9, 8, 4, 3, 6, 5, 2, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 6, 5, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 4, 4, 5, 7, 8, 6, 5, 3, 2, 3, 5, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 8, 9, 9, 6, 5, 4, 5, 6, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 5, 4, 4, 5, 6, 5, 4, 2, 3, 4, 4, 6, 6, 7, 8, 5, 5, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 4, 3, 4, 6, 10, 12, 8, 8, 7, 6, 6, 7, 7, 8, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 5, 4, 3, 3, 4, 3, 3, 4, 4, 4, 5, 5, 5, 1, 3, 6, 8, 8, 6, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 4, 6, 8, 9, 9, 7, 5, 5, 5, 5, 4, 2, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 7, 6, 4, 3, 3, 4, 5, 6, 6, 6, 5, 5, 5, 6, 8, 9, 6, 6, 5, 4, 4, 5, 6, 6, 5, 7, 7, 6, 4, 3, 3, 5, 6, 5, 4, 4, 6, 7, 5, 4, 4, 4, 4, 5, 7, 9, 11, 12, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 4, 9, 15, 16, 11, 6, 4, 5, 5, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 7, 8, 6, 5, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 4, 7, 9, 9, 7, 5, 4, 4, 5, 4, 4, 4, 4, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 6, 7, 7, 5, 5, 4, 4, 4, 4, 4, 4, 3, 5, 6, 4, 2, 5, 12, 19, 10, 8, 6, 5, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 5, 6, 6, 7, 6, 5, 4, 3, 2, 4, 7, 8, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 4, 3, 2, 1, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 4, 3, 2, 10, 1, 5, 0, 8, 19, 4, 0, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 4, 3, 2, 3, 5, 6, 7, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 5, 3, 4, 7, 10, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 5, 5, 6, 6, 6, 6, 5, 5, 7, 7, 6, 6, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 2, 3, 5, 6, 5, 4, 2, 3, 5, 6, 6, 5, 3, 2, 4, 5, 6, 6, 4, 4, 5, 6, 3, 4, 6, 6, 4, 4, 6, 7, 2, 5, 5, 2, 2, 6, 7, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 5, 5, 6, 7, 8, 6, 5, 3, 2, 3, 5, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 8, 7, 6, 6, 6, 6, 7, 5, 3, 4, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 6, 7, 5, 4, 2, 3, 4, 4, 6, 6, 7, 8, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 3, 3, 5, 9, 14, 17, 8, 7, 7, 6, 6, 7, 8, 8, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 5, 4, 3, 3, 4, 5, 5, 5, 6, 6, 6, 7, 7, 2, 3, 5, 7, 8, 7, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 3, 3, 3, 5, 6, 8, 10, 8, 7, 7, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 6, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 7, 7, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 7, 6, 4, 3, 4, 5, 6, 7, 6, 5, 5, 5, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 7, 7, 6, 4, 3, 3, 5, 6, 5, 3, 4, 6, 6, 5, 4, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 4, 3, 7, 13, 14, 9, 4, 4, 5, 6, 7, 8, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 3, 5, 7, 7, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 6, 5, 4, 6, 7, 4, 4, 4, 4, 5, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 3, 4, 5, 4, 4, 7, 13, 18, 9, 8, 7, 5, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 5, 5, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 4, 4, 3, 2, 5, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 4, 5, 7, 7, 5, 4, 3, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 5, 4, 3, 3, 2, 8, 0, 2, 5, 23, 38, 19, 8, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 4, 5, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 5, 3, 2, 3, 5, 6, 6, 6, 6, 6, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 8, 5, 3, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 3, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 5, 6, 5, 4, 2, 3, 5, 6, 6, 5, 3, 2, 4, 5, 6, 6, 4, 4, 5, 6, 3, 4, 6, 6, 4, 4, 6, 7, 5, 7, 6, 3, 3, 7, 8, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 7, 9, 3, 4, 4, 4, 4, 4, 4, 3, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 7, 7, 7, 7, 6, 6, 5, 4, 3, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 10, 9, 8, 6, 5, 4, 4, 4, 7, 5, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 7, 7, 6, 4, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 5, 4, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 6, 10, 14, 17, 6, 6, 6, 5, 6, 7, 8, 8, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 8, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 8, 8, 6, 5, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 3, 4, 5, 6, 7, 7, 7, 7, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 9, 8, 7, 8, 9, 8, 6, 3, 6, 5, 5, 5, 5, 6, 7, 7, 5, 5, 5, 5, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 6, 7, 6, 4, 3, 4, 6, 6, 4, 3, 4, 5, 6, 5, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 2, 1, 3, 7, 7, 4, 1, 4, 5, 7, 8, 9, 8, 7, 6, 7, 6, 4, 3, 3, 4, 6, 7, 5, 4, 3, 4, 6, 6, 5, 3, 6, 6, 5, 4, 3, 3, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 3, 4, 4, 3, 1, 2, 5, 8, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 5, 4, 4, 4, 5, 6, 7, 7, 8, 8, 8, 6, 3, 2, 3, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 7, 6, 5, 5, 4, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 5, 5, 4, 4, 4, 3, 4, 5, 6, 6, 5, 5, 6, 8, 6, 6, 5, 5, 5, 5, 4, 4, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 7, 8, 7, 6, 5, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 8, 7, 6, 5, 4, 3, 3, 3, 8, 0, 4, 6, 22, 35, 15, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 9, 7, 6, 4, 4, 4, 5, 6, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 4, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 7, 2, 3, 4, 6, 6, 4, 3, 2, 5, 5, 4, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 6, 8, 8, 7, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 6, 6, 4, 4, 5, 6, 3, 4, 6, 6, 4, 4, 6, 7, 13, 14, 12, 6, 5, 8, 8, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 8, 9, 9, 8, 6, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 5, 4, 4, 4, 5, 8, 5, 3, 3, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 7, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 2, 2, 7, 6, 4, 3, 3, 4, 6, 7, 5, 4, 3, 3, 4, 7, 9, 11, 5, 5, 4, 4, 5, 6, 7, 8, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 8, 8, 6, 5, 6, 6, 5, 5, 6, 6, 6, 7, 7, 7, 5, 4, 4, 4, 5, 7, 8, 9, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 6, 4, 3, 6, 6, 6, 7, 8, 8, 6, 3, 6, 5, 5, 4, 5, 6, 7, 8, 7, 6, 6, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 7, 7, 7, 6, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 5, 6, 6, 4, 4, 5, 7, 5, 4, 3, 3, 5, 5, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 3, 3, 3, 3, 2, 4, 5, 7, 9, 9, 8, 7, 6, 7, 6, 4, 3, 3, 4, 6, 7, 5, 4, 3, 4, 6, 6, 4, 2, 6, 5, 4, 3, 3, 3, 4, 4, 3, 4, 5, 6, 6, 5, 4, 3, 4, 5, 6, 5, 3, 3, 4, 6, 4, 4, 5, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 6, 6, 6, 5, 3, 3, 7, 10, 10, 6, 1, 7, 8, 9, 7, 4, 3, 5, 8, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 7, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 5, 4, 3, 3, 3, 4, 6, 6, 6, 4, 3, 4, 7, 10, 6, 6, 6, 5, 5, 4, 4, 4, 9, 9, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 5, 4, 3, 4, 4, 5, 9, 2, 9, 3, 7, 16, 1, 0, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 4, 4, 4, 4, 5, 5, 3, 5, 7, 6, 4, 3, 5, 7, 7, 6, 6, 6, 6, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 2, 3, 5, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 8, 8, 7, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 6, 6, 4, 4, 5, 6, 3, 4, 6, 6, 4, 4, 6, 7, 13, 14, 11, 5, 4, 6, 7, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 8, 10, 10, 8, 6, 4, 6, 6, 6, 6, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 8, 5, 3, 3, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 6, 8, 8, 6, 4, 6, 5, 5, 5, 5, 5, 5, 4, 6, 6, 5, 5, 3, 3, 2, 2, 8, 6, 4, 2, 2, 4, 6, 8, 5, 4, 3, 2, 2, 3, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 5, 4, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 6, 9, 11, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 9, 11, 10, 8, 4, 2, 4, 4, 4, 6, 7, 7, 5, 3, 6, 5, 5, 4, 5, 6, 8, 9, 8, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 3, 4, 6, 7, 8, 8, 7, 6, 7, 7, 8, 8, 8, 7, 7, 6, 5, 4, 4, 3, 3, 4, 4, 5, 2, 4, 5, 5, 5, 5, 6, 8, 5, 4, 3, 3, 5, 5, 4, 3, 2, 2, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 8, 8, 8, 6, 4, 3, 4, 6, 4, 5, 7, 9, 10, 9, 7, 6, 7, 6, 4, 3, 3, 4, 6, 7, 5, 4, 3, 4, 5, 5, 4, 2, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 7, 8, 8, 7, 5, 4, 7, 9, 10, 10, 7, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 2, 3, 10, 17, 18, 10, 3, 6, 8, 9, 8, 5, 4, 7, 10, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 4, 3, 3, 4, 6, 7, 7, 7, 7, 7, 7, 6, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 4, 3, 3, 3, 3, 4, 7, 6, 5, 3, 2, 4, 8, 12, 6, 6, 6, 5, 5, 4, 4, 4, 10, 10, 8, 7, 6, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 5, 4, 3, 4, 5, 6, 3, 2, 12, 2, 0, 9, 3, 8, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 5, 4, 4, 3, 3, 4, 4, 5, 3, 5, 7, 6, 4, 3, 5, 7, 5, 6, 6, 7, 7, 6, 6, 5, 2, 3, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 5, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 4, 3, 3, 3, 3, 3, 4, 5, 7, 8, 8, 7, 5, 4, 7, 7, 7, 6, 6, 5, 5, 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5, 6, 0, 1, 15, 31, 32, 16, 0, 5, 4, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 9, 0, 5, 12, 3, 0, 4, 9, 8, 8, 7, 6, 5, 5, 5, 5, 5, 3, 3, 4, 6, 7, 7, 5, 5, 5, 5, 3, 1, 1, 4, 6, 7, 6, 4, 2, 2, 2, 3, 4, 7, 7, 7, 6, 6, 5, 5, 5, 3, 6, 6, 2, 2, 5, 5, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 9, 11, 12, 12, 9, 4, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 9, 0, 7, 12, 5, 9, 5, 6, 8, 7, 5, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 14, 11, 6, 2, 0, 1, 3, 4, 1, 4, 7, 8, 7, 5, 4, 4, 3, 5, 8, 8, 7, 6, 5, 6, 2, 2, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 5, 3, 3, 3, 2, 2, 3, 4, 7, 9, 11, 4, 5, 5, 6, 6, 7, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 6, 6, 7, 7, 7, 9, 7, 5, 6, 8, 8, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 3, 3, 4, 5, 7, 8, 5, 5, 4, 3, 3, 3, 4, 4, 4, 4, 5, 6, 7, 7, 8, 9, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 4, 1, 4, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 12, 18, 14, 3, 1, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 8, 8, 8, 8, 7, 6, 5, 4, 9, 16, 12, 1, 0, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 6, 7, 7, 8, 7, 6, 5, 5, 7, 7, 6, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 4, 6, 8, 9, 7, 5, 3, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 2, 3, 5, 7, 8, 7, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 5, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 7, 14, 18, 13, 4, 2, 6, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 5, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 4, 3, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 5, 4, 4, 4, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 4, 3, 3, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 5, 5, 5, 7, 2, 0, 3, 12, 16, 13, 7, 5, 4, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 6, 4, 2, 12, 16, 3, 7, 7, 6, 5, 5, 5, 6, 6, 6, 4, 3, 4, 6, 7, 6, 4, 6, 7, 7, 6, 5, 5, 7, 10, 6, 6, 5, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 3, 6, 6, 3, 3, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 8, 8, 8, 6, 5, 4, 5, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 17, 19, 0, 30, 0, 19, 1, 6, 4, 6, 7, 6, 5, 4, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 4, 4, 4, 4, 6, 6, 20, 17, 12, 8, 5, 4, 5, 5, 2, 5, 7, 7, 6, 4, 4, 5, 5, 6, 8, 8, 6, 5, 5, 6, 3, 3, 4, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 3, 4, 6, 8, 9, 5, 5, 6, 6, 6, 6, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 6, 6, 6, 7, 7, 6, 5, 4, 4, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 6, 7, 5, 5, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 6, 7, 8, 8, 4, 4, 4, 5, 5, 6, 6, 6, 0, 1, 2, 0, 1, 5, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 11, 15, 11, 3, 1, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 6, 7, 5, 2, 1, 3, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 7, 8, 8, 9, 4, 5, 5, 6, 6, 5, 5, 4, 9, 7, 5, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 4, 3, 3, 3, 4, 5, 6, 7, 7, 6, 5, 4, 2, 3, 3, 4, 5, 5, 6, 6, 7, 5, 4, 5, 6, 7, 6, 4, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 5, 7, 8, 8, 6, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 6, 8, 8, 7, 6, 5, 3, 4, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 4, 4, 4, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 5, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 8, 12, 14, 10, 4, 4, 7, 3, 3, 3, 4, 4, 5, 5, 5, 7, 7, 6, 5, 4, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 8, 7, 6, 5, 4, 3, 4, 4, 2, 3, 4, 4, 4, 4, 3, 2, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 3, 3, 3, 5, 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4, 4, 5, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 4, 4, 4, 3, 5, 7, 9, 10, 9, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 9, 10, 9, 7, 4, 3, 0, 3, 7, 8, 5, 4, 4, 6, 5, 4, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 7, 7, 1, 9, 35, 37, 10, 4, 4, 4, 4, 5, 6, 7, 8, 8, 6, 5, 5, 5, 5, 4, 2, 3, 4, 6, 6, 5, 6, 8, 10, 5, 6, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 4, 4, 3, 3, 2, 5, 6, 4, 5, 9, 10, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 5, 5, 6, 6, 4, 3, 3, 5, 7, 7, 6, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 2, 15, 49, 85, 9, 22, 0, 3, 4, 5, 5, 3, 2, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 1, 2, 2, 2, 2, 1, 5, 6, 6, 5, 3, 3, 5, 7, 9, 9, 8, 6, 3, 2, 4, 6, 5, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 5, 4, 4, 6, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 8, 9, 7, 5, 6, 11, 15, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 10, 18, 22, 16, 9, 7, 7, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 6, 4, 1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 4, 4, 3, 2, 2, 10, 11, 3, 2, 9, 10, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 7, 7, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 5, 4, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 6, 6, 7, 7, 2, 4, 6, 7, 7, 6, 4, 2, 2, 2, 2, 2, 3, 3, 3, 3, 6, 5, 3, 4, 6, 6, 5, 4, 6, 5, 4, 4, 4, 5, 6, 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4, 5, 6, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 4, 3, 4, 5, 6, 5, 3, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 5, 6, 5, 4, 6, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 7, 7, 6, 5, 5, 6, 7, 7, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 9, 11, 13, 15, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 7, 7, 5, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 8, 7, 4, 4, 7, 7, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 7, 8, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 5, 5, 5, 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3, 5, 6, 5, 4, 3, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 7, 7, 7, 6, 5, 4, 3, 4, 5, 6, 6, 4, 4, 5, 6, 7, 8, 8, 6, 4, 3, 5, 6, 5, 6, 6, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 5, 8, 10, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 8, 8, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 5, 4, 3, 5, 4, 4, 4, 5, 6, 7, 8, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 0, 7, 10, 6, 3, 3, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 8, 8, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 2, 2, 4, 5, 3, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 6, 7, 7, 6, 5, 5, 3, 3, 3, 2, 3, 5, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 8, 8, 8, 8, 7, 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7, 8, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 5, 6, 7, 8, 9, 3, 3, 4, 5, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 6, 6, 6, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 3, 3, 3, 3, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 5, 7, 5, 4, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 9, 6, 7, 13, 13, 6, 5, 4, 3, 3, 3, 4, 4, 6, 4, 3, 4, 6, 7, 6, 4, 4, 6, 8, 9, 7, 6, 6, 7, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 6, 6, 3, 3, 6, 6, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 7, 7, 7, 5, 3, 3, 5, 6, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 0, 32, 27, 7, 15, 11, 0, 6, 4, 6, 7, 6, 5, 4, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 4, 4, 6, 6, 5, 4, 3, 2, 2, 2, 2, 5, 7, 7, 6, 4, 4, 5, 5, 6, 8, 8, 6, 5, 5, 6, 5, 5, 6, 6, 5, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 6, 6, 6, 6, 5, 3, 4, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 4, 3, 2, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 6, 7, 4, 4, 8, 8, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 2, 2, 6, 6, 1, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 7, 7, 6, 5, 5, 8, 4, 1, 3, 4, 5, 7, 9, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 4, 5, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 5, 3, 3, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 8, 8, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 4, 3, 4, 4, 4, 4, 4, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 5, 5, 4, 3, 3, 3, 5, 6, 6, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 5, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 8, 8, 7, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 7, 7, 5, 4, 4, 5, 7, 6, 4, 3, 3, 4, 6, 7, 3, 7, 6, 2, 3, 8, 8, 2, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 5, 6, 5, 4, 2, 1, 6, 5, 5, 5, 5, 5, 5, 4, 6, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 7, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 6, 6, 7, 7, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 5, 6, 7, 8, 9, 2, 2, 3, 4, 6, 7, 8, 8, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 2, 3, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 0, 5, 11, 11, 7, 4, 5, 8, 5, 4, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 11, 2, 2, 5, 3, 6, 8, 0, 6, 6, 5, 3, 3, 3, 3, 3, 5, 3, 3, 4, 6, 7, 7, 5, 2, 4, 6, 6, 4, 3, 2, 3, 4, 3, 2, 2, 2, 4, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 3, 6, 6, 2, 2, 5, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 4, 3, 3, 4, 5, 4, 4, 6, 7, 7, 5, 2, 7, 7, 6, 6, 4, 4, 3, 3, 24, 2, 0, 4, 3, 15, 6, 11, 5, 6, 8, 7, 5, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 4, 4, 4, 5, 6, 7, 1, 4, 7, 8, 7, 5, 4, 4, 3, 5, 8, 8, 7, 6, 5, 6, 4, 5, 5, 5, 4, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 6, 6, 6, 6, 6, 2, 3, 5, 6, 7, 6, 5, 5, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 4, 3, 5, 9, 10, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 2, 2, 2, 3, 4, 2, 3, 5, 6, 7, 7, 6, 5, 4, 4, 4, 5, 6, 7, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 5, 2, 3, 6, 6, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 3, 3, 8, 7, 1, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 3, 2, 3, 5, 7, 7, 6, 4, 5, 6, 7, 8, 9, 9, 9, 5, 5, 5, 5, 5, 6, 8, 8, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 8, 8, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 7, 8, 6, 4, 3, 4, 4, 5, 5, 4, 4, 3, 7, 7, 7, 6, 6, 5, 5, 5, 0, 11, 0, 5, 0, 13, 1, 8, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 7, 6, 4, 2, 2, 3, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 4, 5, 3, 1, 2, 5, 9, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 8, 7, 5, 4, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 5, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 5, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 5, 7, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 3, 2, 1, 1, 2, 3, 0, 36, 0, 0, 16, 0, 8, 9, 6, 7, 7, 5, 3, 3, 4, 6, 2, 3, 4, 5, 4, 3, 1, 0, 3, 3, 5, 6, 6, 6, 6, 6, 7, 6, 4, 3, 4, 6, 8, 9, 15, 0, 3, 5, 6, 12, 7, 7, 0, 1, 3, 3, 3, 3, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 16, 26, 17, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 3, 6, 9, 8, 4, 2, 3, 5, 1, 2, 4, 5, 5, 4, 2, 1, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 5, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 9, 8, 5, 4, 6, 6, 3, 1, 2, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 3, 2, 3, 5, 7, 2, 3, 5, 6, 7, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 6, 5, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 1, 0, 1, 4, 8, 9, 6, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 7, 8, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 1, 2, 5, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 11, 8, 5, 4, 5, 6, 5, 4, 12, 11, 9, 7, 6, 5, 4, 4, 6, 5, 5, 5, 5, 6, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 6, 4, 5, 8, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 4, 3, 2, 2, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 2, 3, 3, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 8, 7, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 6, 5, 5, 5, 9, 64, 16, 0, 13, 0, 10, 5, 6, 7, 7, 5, 3, 3, 4, 6, 9, 8, 7, 6, 6, 6, 6, 7, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 6, 6, 7, 7, 7, 9, 33, 7, 3, 9, 0, 9, 6, 9, 10, 10, 8, 5, 3, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 5, 6, 5, 3, 7, 5, 3, 3, 4, 6, 7, 6, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 2, 2, 2, 4, 5, 7, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 1, 5, 7, 6, 8, 13, 14, 12, 19, 15, 9, 4, 1, 1, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 6, 5, 4, 3, 4, 4, 7, 5, 4, 5, 6, 7, 6, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 6, 6, 4, 2, 1, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 6, 7, 8, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 6, 5, 5, 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4, 4, 5, 5, 5, 4, 16, 3, 7, 1, 13, 2, 8, 5, 5, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 9, 8, 6, 5, 4, 5, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 11, 7, 4, 3, 5, 7, 6, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 8, 9, 9, 8, 6, 5, 4, 5, 6, 7, 6, 5, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 3, 2, 2, 2, 2, 2, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 5, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 5, 7, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 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5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 0, 4, 4, 5, 7, 3, 14, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 19, 15, 10, 5, 2, 1, 2, 3, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 6, 5, 5, 5, 6, 6, 2, 2, 3, 4, 6, 7, 8, 8, 19, 13, 6, 3, 3, 5, 4, 3, 5, 4, 3, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 2, 2, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 5, 7, 7, 6, 4, 3, 7, 8, 4, 4, 6, 5, 1, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 9, 0, 1, 14, 0, 0, 21, 0, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 2, 1, 3, 6, 8, 9, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 3, 4, 5, 4, 3, 2, 3, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 7, 6, 6, 7, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 7, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 3, 3, 5, 9, 10, 8, 5, 7, 6, 6, 5, 5, 6, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 3, 3, 5, 7, 1, 3, 4, 3, 1, 3, 7, 11, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 6, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 7, 9, 9, 8, 6, 7, 7, 8, 8, 8, 7, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 4, 2, 2, 4, 6, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 4, 10, 9, 9, 8, 7, 6, 5, 5, 7, 7, 7, 7, 7, 5, 4, 4, 5, 6, 8, 9, 8, 6, 4, 2, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 3, 5, 7, 9, 9, 7, 5, 3, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 2, 1, 1, 2, 4, 5, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 6, 19, 0, 18, 3, 7, 4, 3, 0, 3, 4, 4, 5, 5, 4, 4, 3, 3, 0, 0, 3, 5, 0, 0, 6, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 5, 3, 3, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 3, 3, 3, 5, 8, 10, 12, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 6, 5, 4, 3, 7, 6, 5, 5, 5, 5, 6, 7, 6, 3, 4, 8, 8, 6, 5, 8, 7, 7, 7, 7, 6, 5, 3, 2, 4, 4, 5, 6, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 4, 6, 8, 7, 5, 4, 3, 4, 3, 3, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 24, 21, 4, 3, 17, 18, 0, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 10, 8, 6, 4, 3, 5, 7, 9, 6, 5, 5, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 6, 7, 8, 6, 6, 5, 5, 5, 5, 4, 4, 13, 9, 5, 3, 4, 6, 6, 5, 7, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 6, 6, 7, 4, 2, 2, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 2, 5, 10, 0, 12, 38, 12, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 5, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 5, 6, 5, 3, 3, 4, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 5, 6, 7, 5, 4, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 4, 2, 2, 4, 6, 1, 3, 5, 4, 3, 3, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 6, 6, 4, 3, 5, 5, 6, 7, 8, 8, 8, 8, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 4, 5, 7, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 6, 5, 5, 9, 8, 8, 7, 6, 5, 4, 4, 6, 6, 7, 7, 7, 6, 5, 4, 5, 6, 7, 8, 7, 6, 4, 2, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 6, 6, 6, 6, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 2, 2, 3, 3, 4, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 7, 14, 20, 0, 10, 7, 9, 1, 4, 4, 5, 6, 6, 5, 4, 4, 22, 8, 0, 5, 7, 3, 1, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 6, 7, 9, 9, 7, 6, 6, 5, 5, 6, 6, 7, 8, 8, 6, 5, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 3, 3, 7, 12, 12, 7, 4, 5, 6, 6, 6, 6, 5, 4, 3, 2, 4, 5, 6, 6, 7, 7, 6, 6, 8, 7, 7, 6, 5, 4, 4, 3, 5, 5, 5, 5, 6, 6, 6, 6, 4, 6, 7, 7, 5, 3, 3, 4, 2, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 14, 12, 4, 36, 34, 0, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 3, 3, 3, 4, 5, 6, 8, 9, 6, 5, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 3, 4, 5, 7, 9, 10, 6, 6, 6, 5, 5, 4, 4, 4, 6, 4, 3, 3, 5, 7, 7, 6, 8, 7, 6, 5, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 8, 8, 7, 6, 4, 3, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 4, 2, 4, 9, 13, 20, 7, 0, 3, 6, 3, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 0, 7, 7, 5, 0, 19, 45, 17, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 10, 7, 5, 4, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 6, 4, 4, 4, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 7, 5, 3, 2, 2, 3, 5, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 5, 4, 2, 2, 3, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 3, 2, 2, 3, 5, 2, 4, 6, 6, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 3, 4, 4, 4, 5, 4, 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4, 4, 3, 4, 5, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 5, 6, 6, 6, 4, 2, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 5, 6, 8, 10, 9, 6, 4, 4, 6, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 5, 5, 6, 8, 11, 12, 4, 4, 4, 4, 4, 4, 4, 4, 1, 5, 7, 6, 4, 5, 10, 15, 9, 7, 5, 3, 3, 3, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 5, 3, 3, 5, 7, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 5, 5, 4, 4, 5, 5, 4, 3, 4, 5, 6, 7, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 6, 7, 7, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 6, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 5, 7, 10, 11, 28, 42, 0, 9, 10, 0, 0, 17, 5, 6, 6, 7, 7, 6, 6, 5, 5, 7, 8, 6, 4, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 3, 4, 4, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 5, 4, 3, 3, 3, 3, 2, 3, 5, 6, 6, 5, 3, 2, 7, 4, 5, 8, 7, 3, 2, 4, 5, 5, 6, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 7, 6, 5, 6, 5, 5, 4, 3, 3, 2, 2, 5, 5, 5, 4, 4, 3, 3, 3, 6, 7, 6, 4, 2, 2, 4, 7, 8, 8, 8, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 0, 8, 8, 7, 7, 0, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 5, 4, 4, 4, 4, 5, 5, 6, 8, 9, 8, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 2, 2, 2, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 5, 3, 3, 6, 9, 5, 6, 7, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 5, 6, 6, 7, 8, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 7, 6, 4, 3, 3, 2, 6, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 11, 9, 7, 6, 6, 5, 3, 1, 3, 7, 8, 4, 4, 6, 5, 1, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 0, 16, 2, 0, 4, 3, 9, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 5, 3, 3, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 9, 8, 7, 7, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 7, 7, 6, 5, 3, 2, 4, 3, 2, 3, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 5, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 4, 2, 3, 6, 7, 3, 0, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 4, 5, 4, 4, 5, 7, 9, 10, 6, 3, 3, 6, 8, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 5, 5, 7, 10, 13, 15, 4, 4, 4, 4, 4, 4, 4, 4, 3, 6, 8, 6, 3, 3, 7, 13, 7, 6, 4, 2, 3, 4, 6, 8, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 6, 4, 4, 6, 8, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 7, 6, 5, 4, 4, 6, 5, 4, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 4, 3, 2, 2, 5, 5, 5, 5, 6, 7, 8, 8, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 9, 12, 14, 41, 153, 47, 1, 9, 12, 20, 0, 7, 8, 9, 9, 9, 9, 8, 7, 6, 5, 2, 1, 4, 8, 7, 5, 4, 4, 4, 5, 5, 6, 6, 6, 1, 2, 5, 7, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 3, 2, 2, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 5, 6, 6, 4, 3, 2, 2, 3, 4, 4, 6, 6, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 3, 3, 4, 5, 5, 4, 3, 3, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 3, 2, 2, 2, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 9, 8, 6, 4, 3, 3, 4, 4, 5, 4, 3, 2, 3, 4, 5, 6, 5, 4, 3, 3, 5, 5, 4, 3, 6, 6, 5, 5, 6, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 7, 13, 13, 7, 4, 4, 20, 15, 8, 4, 2, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 7, 6, 5, 3, 2, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 5, 4, 4, 3, 3, 2, 4, 6, 7, 7, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 6, 4, 4, 6, 7, 6, 6, 6, 5, 4, 3, 1, 1, 5, 6, 6, 7, 7, 6, 6, 5, 2, 5, 5, 1, 0, 4, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 6, 7, 7, 7, 7, 6, 6, 5, 4, 5, 6, 6, 5, 3, 3, 3, 5, 6, 5, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 2, 3, 3, 4, 4, 6, 6, 7, 7, 4, 4, 4, 3, 3, 2, 2, 2, 7, 6, 4, 3, 3, 4, 6, 7, 2, 3, 5, 6, 6, 5, 3, 2, 1, 1, 2, 3, 5, 7, 9, 11, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 2, 3, 5, 6, 6, 5, 3, 2, 16, 0, 18, 0, 5, 10, 12, 0, 1, 1, 2, 3, 5, 6, 7, 7, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 4, 4, 5, 7, 9, 10, 9, 7, 6, 6, 6, 6, 5, 3, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 5, 7, 7, 2, 3, 3, 4, 4, 5, 5, 6, 1, 3, 5, 6, 6, 5, 3, 1, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 6, 7, 7, 7, 7, 7, 4, 4, 4, 5, 6, 8, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 3, 2, 4, 6, 8, 7, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 6, 6, 7, 7, 7, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 9, 9, 7, 5, 4, 3, 5, 7, 7, 5, 4, 4, 5, 2, 8, 6, 4, 20, 39, 28, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 11, 0, 16, 0, 0, 2, 10, 5, 10, 6, 2, 2, 6, 8, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 16, 47, 59, 34, 8, 4, 7, 3, 7, 21, 25, 13, 3, 4, 6, 3, 6, 5, 3, 2, 3, 5, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 4, 1, 0, 1, 3, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 8, 7, 5, 5, 5, 5, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 3, 3, 3, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 5, 4, 3, 3, 3, 4, 4, 5, 6, 5, 5, 4, 3, 5, 4, 3, 3, 5, 5, 4, 3, 5, 5, 5, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 11, 11, 7, 4, 5, 13, 9, 5, 2, 2, 3, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 6, 7, 7, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 6, 4, 4, 6, 7, 5, 5, 5, 5, 4, 3, 2, 2, 5, 6, 6, 7, 7, 6, 6, 5, 6, 11, 12, 7, 3, 5, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 6, 5, 4, 5, 7, 7, 5, 3, 2, 3, 4, 5, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 7, 7, 6, 5, 3, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 4, 3, 3, 3, 2, 2, 6, 6, 4, 4, 4, 4, 6, 6, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 5, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 7, 7, 7, 7, 6, 6, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 3, 3, 5, 5, 5, 5, 3, 3, 6, 5, 1, 12, 0, 0, 4, 0, 2, 2, 3, 4, 4, 5, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 4, 4, 5, 7, 8, 9, 6, 5, 5, 6, 8, 10, 9, 8, 6, 6, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 3, 3, 4, 4, 4, 4, 5, 5, 3, 3, 5, 6, 6, 5, 3, 3, 3, 4, 5, 5, 5, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 3, 2, 4, 6, 8, 7, 6, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 6, 6, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 8, 8, 6, 5, 3, 3, 5, 7, 7, 5, 4, 4, 5, 4, 7, 5, 3, 16, 29, 19, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 2, 5, 17, 11, 12, 7, 7, 9, 10, 6, 2, 2, 6, 7, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 0, 15, 25, 13, 2, 4, 6, 3, 3, 15, 19, 9, 3, 5, 7, 3, 7, 5, 4, 3, 3, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 2, 2, 3, 4, 6, 6, 6, 6, 6, 6, 7, 7, 7, 3, 4, 6, 7, 7, 6, 4, 3, 7, 6, 5, 4, 4, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 3, 3, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 7, 7, 7, 7, 7, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 2, 5, 6, 8, 8, 8, 6, 3, 1, 5, 4, 3, 3, 5, 5, 4, 3, 4, 4, 4, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 6, 9, 9, 6, 5, 7, 5, 3, 1, 1, 3, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 6, 7, 7, 7, 7, 6, 5, 3, 3, 4, 4, 4, 4, 5, 5, 4, 6, 7, 7, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 6, 4, 4, 6, 7, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 9, 16, 18, 12, 6, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 2, 3, 4, 4, 5, 5, 4, 4, 6, 5, 4, 5, 7, 7, 6, 4, 2, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 5, 5, 6, 7, 7, 5, 3, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 4, 4, 3, 3, 3, 2, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 5, 4, 4, 8, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 8, 10, 10, 8, 6, 5, 2, 2, 3, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 11, 15, 0, 28, 7, 3, 15, 13, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 6, 5, 4, 4, 6, 6, 5, 4, 5, 4, 4, 4, 5, 6, 8, 8, 7, 6, 5, 7, 9, 10, 10, 9, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 7, 6, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 3, 3, 4, 6, 7, 7, 6, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 6, 6, 6, 7, 6, 6, 7, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 3, 5, 7, 7, 5, 4, 4, 5, 7, 5, 3, 4, 10, 15, 9, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 8, 9, 10, 11, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 1, 9, 0, 0, 3, 1, 4, 10, 9, 5, 2, 3, 6, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 6, 4, 3, 5, 3, 0, 0, 8, 10, 5, 3, 7, 8, 3, 7, 6, 5, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 4, 5, 5, 6, 7, 7, 7, 7, 6, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 6, 8, 9, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 7, 7, 8, 8, 7, 7, 6, 5, 5, 6, 6, 7, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 7, 8, 8, 7, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 6, 5, 3, 2, 8, 8, 8, 8, 7, 5, 4, 3, 5, 4, 3, 3, 5, 5, 4, 3, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 4, 7, 7, 4, 5, 8, 3, 2, 1, 3, 5, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 6, 6, 6, 6, 5, 5, 2, 3, 3, 4, 4, 5, 5, 6, 4, 6, 7, 7, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 6, 4, 4, 6, 7, 5, 5, 4, 4, 4, 5, 5, 6, 4, 5, 6, 6, 6, 6, 5, 4, 7, 15, 19, 13, 6, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 4, 6, 8, 8, 6, 5, 3, 3, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 4, 6, 6, 4, 1, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 8, 7, 6, 5, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 7, 8, 9, 9, 8, 7, 6, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 1, 0, 11, 1, 9, 13, 10, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 5, 6, 7, 8, 8, 9, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 7, 10, 8, 7, 6, 7, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 3, 3, 2, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 6, 5, 5, 4, 3, 3, 3, 3, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 3, 4, 6, 7, 6, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 4, 3, 3, 3, 5, 7, 7, 5, 4, 4, 5, 9, 4, 1, 5, 7, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 8, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 0, 6, 1, 21, 19, 11, 8, 0, 8, 5, 3, 3, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 15, 8, 4, 6, 9, 7, 3, 1, 2, 5, 5, 2, 4, 8, 8, 3, 8, 7, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 4, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 6, 8, 10, 6, 5, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 6, 6, 5, 4, 7, 7, 8, 8, 8, 8, 7, 7, 4, 4, 4, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 7, 8, 8, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 5, 4, 3, 11, 9, 7, 4, 3, 4, 5, 6, 5, 4, 3, 3, 5, 5, 4, 3, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 4, 6, 6, 4, 5, 9, 5, 4, 4, 5, 7, 6, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 6, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 2, 3, 3, 4, 4, 5, 5, 6, 4, 6, 7, 7, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 2, 5, 9, 12, 12, 9, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 6, 4, 4, 6, 7, 6, 5, 4, 4, 4, 5, 6, 7, 4, 4, 5, 6, 6, 5, 4, 4, 2, 9, 13, 9, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 5, 6, 7, 7, 6, 6, 5, 4, 4, 6, 8, 9, 7, 6, 4, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 5, 8, 10, 6, 2, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 8, 8, 6, 6, 6, 6, 8, 8, 7, 6, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 46, 14, 5, 15, 6, 9, 6, 6, 5, 4, 4, 3, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 5, 6, 7, 8, 8, 9, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 8, 6, 5, 5, 6, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 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6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 3, 2, 2, 3, 5, 6, 10, 3, 5, 15, 0, 20, 9, 14, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 6, 5, 4, 4, 6, 6, 5, 4, 3, 4, 5, 6, 5, 4, 3, 2, 9, 7, 6, 6, 6, 6, 5, 3, 3, 4, 6, 7, 7, 6, 4, 3, 7, 7, 5, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 6, 4, 5, 7, 9, 9, 7, 5, 4, 2, 2, 3, 4, 4, 3, 2, 2, 5, 6, 6, 7, 7, 6, 6, 5, 7, 6, 4, 3, 4, 6, 8, 10, 10, 9, 8, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 4, 4, 6, 6, 5, 3, 5, 5, 5, 6, 6, 7, 7, 7, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 3, 5, 7, 7, 5, 4, 4, 5, 9, 10, 7, 2, 2, 7, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 11, 3, 4, 18, 255, 232, 37, 10, 4, 4, 5, 4, 4, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 1, 6, 6, 0, 0, 5, 6, 2, 3, 3, 3, 4, 3, 2, 5, 10, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 2, 2, 4, 5, 7, 8, 9, 10, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 7, 8, 8, 7, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 5, 3, 3, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 7, 5, 6, 10, 11, 8, 5, 5, 5, 6, 6, 7, 7, 7, 1, 10, 0, 13, 54, 48, 11, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 1, 3, 10, 12, 7, 4, 6, 6, 4, 4, 6, 4, 0, 1, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 3, 2, 1, 1, 5, 6, 6, 6, 6, 6, 7, 7, 2, 4, 6, 5, 5, 4, 6, 8, 6, 5, 4, 4, 6, 6, 6, 5, 6, 6, 4, 3, 3, 3, 3, 3, 5, 4, 2, 3, 5, 7, 7, 6, 2, 3, 3, 4, 4, 5, 5, 6, 3, 3, 3, 6, 8, 8, 6, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 2, 6, 7, 7, 8, 8, 7, 7, 6, 4, 7, 7, 4, 4, 7, 7, 4, 3, 4, 4, 5, 5, 4, 4, 3, 8, 8, 7, 6, 4, 3, 2, 2, 8, 7, 6, 5, 6, 7, 9, 10, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 4, 4, 4, 5, 6, 6, 3, 3, 5, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 5, 7, 8, 6, 5, 4, 5, 7, 7, 5, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 14, 12, 10, 8, 5, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 4, 3, 6, 12, 19, 24, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 3, 3, 3, 2, 0, 12, 13, 29, 23, 30, 16, 12, 10, 6, 4, 4, 5, 5, 3, 7, 7, 7, 6, 6, 5, 5, 5, 1, 2, 4, 5, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 10, 4, 0, 8, 8, 1, 2, 8, 3, 0, 0, 5, 8, 6, 2, 4, 4, 4, 4, 4, 5, 7, 7, 3, 3, 3, 4, 4, 5, 5, 5, 11, 9, 6, 3, 2, 4, 6, 8, 6, 5, 3, 2, 2, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 2, 2, 2, 3, 5, 7, 8, 6, 8, 8, 6, 4, 2, 2, 4, 7, 6, 5, 5, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 6, 4, 4, 6, 5, 4, 3, 4, 5, 7, 8, 4, 4, 3, 3, 4, 6, 8, 9, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 4, 5, 9, 10, 7, 7, 9, 8, 8, 7, 6, 4, 3, 2, 2, 7, 6, 5, 5, 3, 3, 2, 1, 2, 3, 4, 5, 5, 5, 5, 4, 4, 19, 0, 18, 4, 3, 8, 3, 3, 3, 4, 5, 5, 6, 7, 7, 8, 8, 7, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 10, 10, 8, 6, 5, 5, 3, 10, 23, 23, 10, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 7, 7, 9, 10, 3, 3, 3, 4, 4, 5, 5, 5, 0, 14, 3, 10, 2, 13, 0, 7, 6, 5, 3, 2, 3, 5, 7, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 7, 11, 7, 8, 20, 34, 36, 24, 11, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 2, 7, 6, 0, 2, 8, 6, 0, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 7, 6, 5, 5, 6, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 7, 4, 4, 8, 8, 5, 5, 5, 5, 6, 6, 7, 7, 7, 4, 13, 2, 10, 43, 39, 12, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 2, 3, 9, 11, 7, 5, 6, 3, 3, 7, 12, 10, 4, 2, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 4, 3, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 1, 3, 5, 4, 3, 3, 5, 6, 5, 4, 4, 4, 5, 5, 5, 4, 7, 7, 6, 5, 4, 4, 5, 5, 6, 5, 3, 3, 5, 6, 6, 5, 6, 5, 4, 2, 1, 1, 1, 1, 5, 4, 4, 5, 7, 7, 6, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 6, 5, 5, 5, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 6, 5, 4, 3, 3, 5, 5, 6, 6, 6, 6, 5, 5, 4, 7, 7, 4, 4, 7, 7, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 2, 2, 2, 6, 5, 5, 4, 5, 6, 7, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 4, 5, 6, 7, 6, 4, 2, 3, 3, 4, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 10, 9, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 9, 12, 14, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 7, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 14, 28, 17, 21, 43, 82, 65, 36, 22, 11, 3, 6, 10, 10, 8, 8, 7, 7, 7, 6, 6, 5, 5, 5, 2, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 4, 4, 4, 4, 6, 6, 2, 12, 10, 5, 6, 4, 5, 15, 5, 5, 5, 5, 6, 5, 3, 2, 5, 4, 4, 4, 4, 5, 6, 7, 3, 3, 3, 4, 4, 5, 5, 5, 9, 8, 6, 4, 4, 4, 6, 7, 5, 5, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 4, 5, 6, 7, 6, 7, 7, 6, 4, 3, 3, 4, 7, 6, 5, 5, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 7, 6, 6, 5, 4, 5, 5, 4, 3, 4, 5, 6, 7, 4, 4, 3, 3, 4, 6, 7, 9, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 4, 4, 8, 8, 5, 5, 9, 7, 7, 6, 5, 5, 4, 3, 3, 6, 5, 5, 4, 4, 3, 3, 2, 2, 3, 4, 5, 5, 5, 5, 4, 0, 7, 0, 6, 5, 10, 11, 2, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 5, 7, 3, 6, 16, 16, 6, 3, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 5, 4, 5, 7, 3, 3, 3, 4, 4, 5, 5, 5, 0, 7, 0, 2, 4, 7, 0, 7, 6, 5, 4, 3, 4, 5, 6, 7, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 5, 6, 10, 14, 14, 8, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 7, 7, 3, 0, 3, 10, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 8, 8, 7, 6, 5, 7, 9, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 7, 4, 3, 6, 5, 2, 5, 5, 5, 5, 6, 6, 6, 6, 1, 9, 0, 2, 23, 20, 5, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 3, 4, 8, 10, 7, 5, 5, 3, 3, 6, 10, 9, 4, 4, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 7, 7, 7, 6, 5, 5, 4, 4, 1, 3, 4, 4, 3, 2, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 6, 5, 5, 6, 6, 8, 6, 4, 4, 5, 6, 5, 4, 8, 6, 4, 2, 1, 2, 3, 4, 8, 6, 4, 4, 5, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 6, 7, 8, 7, 6, 6, 4, 4, 3, 2, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 7, 7, 4, 4, 7, 7, 4, 7, 6, 5, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 8, 7, 6, 5, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 3, 4, 5, 6, 5, 3, 4, 2, 1, 3, 7, 8, 6, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 7, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 1, 0, 12, 34, 113, 248, 255, 116, 44, 19, 3, 8, 14, 11, 7, 9, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 2, 10, 9, 6, 9, 4, 1, 8, 1, 5, 9, 9, 7, 4, 4, 5, 5, 5, 4, 4, 4, 5, 6, 7, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 4, 4, 4, 6, 7, 6, 4, 3, 4, 6, 7, 6, 5, 5, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 7, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 6, 7, 8, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 9, 5, 3, 5, 5, 3, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 5, 5, 5, 4, 8, 16, 30, 9, 6, 8, 5, 2, 7, 7, 6, 5, 5, 4, 3, 3, 7, 7, 6, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 8, 3, 3, 9, 9, 3, 3, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 9, 7, 4, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 3, 5, 8, 23, 10, 5, 9, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 6, 8, 8, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 7, 8, 8, 6, 3, 1, 2, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 3, 6, 11, 4, 0, 0, 14, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 4, 7, 9, 8, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 7, 8, 7, 5, 5, 7, 9, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 7, 4, 4, 7, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 6, 1, 0, 9, 6, 0, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 7, 8, 8, 6, 4, 6, 4, 3, 5, 4, 2, 6, 12, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 6, 8, 7, 7, 6, 5, 4, 3, 3, 3, 4, 5, 5, 3, 3, 4, 6, 4, 4, 5, 4, 3, 2, 3, 4, 7, 6, 6, 5, 5, 5, 6, 6, 9, 6, 4, 4, 5, 5, 4, 3, 6, 4, 3, 3, 5, 8, 13, 15, 9, 7, 4, 3, 4, 5, 5, 4, 3, 4, 5, 5, 5, 5, 4, 3, 5, 5, 4, 4, 5, 5, 6, 7, 8, 7, 7, 6, 4, 3, 3, 2, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 8, 8, 5, 5, 8, 8, 5, 9, 7, 5, 4, 4, 5, 7, 9, 6, 6, 7, 7, 8, 8, 8, 9, 5, 5, 5, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 8, 8, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 8, 8, 6, 5, 4, 3, 3, 3, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 2, 3, 5, 5, 4, 3, 7, 4, 2, 5, 11, 13, 10, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 5, 5, 3, 1, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 1, 5, 23, 57, 240, 255, 253, 242, 68, 32, 5, 8, 14, 7, 2, 6, 5, 5, 5, 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4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 3, 2, 6, 6, 2, 3, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 5, 3, 1, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 0, 11, 16, 41, 14, 8, 8, 6, 6, 6, 6, 6, 4, 3, 3, 3, 5, 8, 9, 9, 8, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 5, 6, 6, 5, 7, 8, 6, 3, 3, 6, 10, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 4, 4, 8, 8, 4, 2, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 7, 8, 8, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 7, 5, 6, 9, 10, 7, 5, 5, 5, 5, 5, 5, 5, 5, 1, 7, 8, 6, 7, 4, 3, 9, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 7, 8, 6, 4, 5, 4, 6, 10, 9, 5, 6, 10, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 6, 6, 7, 7, 7, 7, 6, 5, 4, 3, 3, 2, 5, 6, 7, 7, 5, 4, 5, 7, 4, 6, 7, 5, 3, 1, 3, 4, 5, 4, 4, 3, 4, 4, 5, 5, 9, 6, 4, 4, 5, 5, 4, 3, 3, 3, 2, 3, 6, 10, 15, 18, 9, 7, 4, 3, 4, 5, 5, 4, 3, 3, 4, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 5, 5, 4, 3, 3, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 9, 9, 6, 6, 9, 9, 6, 9, 7, 5, 4, 4, 5, 7, 9, 5, 6, 6, 7, 8, 8, 9, 9, 5, 6, 6, 7, 7, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 8, 8, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 8, 8, 6, 5, 4, 3, 3, 3, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 2, 3, 5, 5, 4, 3, 7, 4, 2, 5, 11, 13, 10, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 6, 3, 3, 3, 3, 3, 4, 4, 4, 15, 10, 27, 66, 244, 250, 252, 255, 75, 36, 5, 5, 10, 4, 1, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 1, 3, 9, 7, 10, 26, 12, 7, 2, 2, 5, 8, 7, 5, 6, 6, 5, 4, 4, 4, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 2, 4, 5, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 7, 7, 6, 4, 3, 3, 5, 6, 6, 4, 4, 5, 7, 7, 6, 5, 5, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 9, 5, 2, 3, 2, 0, 2, 6, 3, 3, 4, 5, 5, 6, 7, 7, 3, 4, 4, 4, 4, 4, 4, 5, 2, 3, 4, 5, 5, 5, 5, 4, 0, 11, 45, 4, 1, 4, 5, 9, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 4, 4, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 4, 3, 2, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 0, 5, 8, 32, 8, 4, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 5, 8, 9, 9, 8, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 1, 1, 2, 3, 4, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 2, 3, 17, 29, 18, 0, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 6, 6, 7, 7, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 3, 3, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 7, 5, 6, 11, 11, 9, 5, 5, 5, 5, 4, 4, 4, 4, 2, 4, 8, 8, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 6, 4, 5, 8, 7, 3, 0, 4, 13, 20, 19, 11, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 3, 3, 3, 6, 8, 9, 8, 6, 5, 6, 7, 5, 7, 9, 7, 3, 1, 3, 6, 4, 3, 3, 3, 3, 4, 5, 5, 8, 6, 4, 4, 5, 6, 5, 4, 5, 4, 3, 2, 3, 5, 8, 10, 8, 6, 4, 4, 5, 6, 5, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 7, 6, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 9, 9, 6, 6, 9, 9, 6, 7, 6, 5, 4, 4, 5, 6, 7, 3, 3, 4, 4, 5, 5, 6, 6, 5, 6, 7, 8, 8, 8, 8, 7, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 8, 8, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 3, 4, 5, 6, 5, 3, 4, 2, 1, 3, 7, 8, 6, 3, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 14, 0, 12, 48, 122, 244, 255, 160, 56, 27, 4, 2, 6, 5, 5, 10, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 0, 7, 9, 5, 1, 3, 28, 66, 20, 11, 2, 0, 3, 5, 3, 0, 7, 6, 5, 4, 4, 4, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 2, 3, 5, 6, 6, 6, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 5, 4, 6, 7, 6, 4, 3, 4, 6, 7, 6, 5, 5, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 7, 8, 8, 6, 5, 5, 6, 4, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 7, 7, 7, 7, 0, 0, 0, 5, 1, 9, 45, 12, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 4, 3, 3, 3, 4, 4, 4, 5, 6, 5, 3, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 5, 4, 4, 4, 5, 6, 5, 6, 8, 9, 10, 9, 8, 7, 23, 11, 16, 2, 8, 10, 0, 0, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 6, 5, 5, 5, 5, 7, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 6, 6, 5, 4, 5, 3, 3, 10, 18, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 6, 7, 7, 6, 6, 7, 6, 5, 4, 4, 5, 6, 7, 8, 7, 6, 5, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 7, 6, 4, 3, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 4, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 4, 5, 12, 1, 38, 35, 15, 0, 12, 8, 4, 5, 7, 6, 4, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 4, 2, 5, 7, 4, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 5, 5, 5, 3, 4, 5, 5, 5, 4, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 5, 6, 7, 8, 7, 5, 2, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 6, 8, 9, 8, 6, 4, 4, 5, 6, 6, 6, 7, 6, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 7, 7, 6, 4, 4, 5, 7, 3, 4, 3, 1, 2, 5, 6, 3, 6, 7, 7, 5, 3, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 5, 4, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 3, 4, 4, 4, 2, 3, 4, 4, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 4, 4, 5, 7, 8, 10, 8, 6, 6, 7, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 2, 2, 11, 24, 39, 16, 0, 5, 9, 4, 2, 8, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 1, 3, 4, 3, 4, 6, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 5, 5, 7, 7, 8, 7, 6, 5, 4, 3, 4, 5, 5, 4, 3, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 7, 6, 5, 5, 5, 2, 3, 3, 4, 4, 3, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 4, 4, 4, 4, 4, 6, 8, 7, 5, 3, 3, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 7, 8, 8, 7, 7, 11, 10, 8, 14, 1, 9, 9, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 10, 9, 7, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 3, 3, 3, 4, 5, 4, 6, 7, 6, 3, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 5, 4, 4, 4, 4, 5, 6, 8, 10, 10, 9, 8, 7, 0, 10, 0, 3, 3, 13, 10, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 6, 5, 5, 5, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 3, 4, 5, 4, 5, 5, 5, 6, 6, 6, 7, 4, 3, 5, 7, 5, 3, 9, 19, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 5, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 7, 6, 4, 3, 4, 5, 3, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 4, 6, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 0, 43, 173, 5, 20, 0, 13, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 4, 2, 5, 6, 4, 2, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 6, 8, 8, 7, 6, 3, 3, 4, 4, 5, 5, 5, 5, 7, 7, 7, 7, 6, 6, 5, 5, 7, 8, 10, 9, 7, 5, 4, 4, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 5, 7, 7, 5, 4, 6, 8, 3, 12, 16, 9, 1, 0, 3, 3, 5, 6, 6, 5, 3, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 3, 2, 3, 4, 4, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 5, 3, 3, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 2, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 2, 2, 3, 5, 6, 10, 8, 6, 6, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 6, 6, 5, 2, 4, 20, 39, 72, 33, 4, 7, 14, 6, 1, 6, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 9, 8, 2, 1, 5, 4, 0, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 4, 5, 8, 8, 8, 7, 6, 5, 4, 3, 3, 4, 5, 4, 2, 2, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 6, 8, 7, 5, 3, 3, 5, 2, 3, 3, 4, 4, 3, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 7, 6, 4, 3, 2, 2, 8, 8, 7, 6, 4, 3, 2, 2, 3, 5, 8, 6, 3, 1, 2, 4, 4, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 7, 8, 8, 7, 7, 3, 1, 0, 10, 0, 17, 1, 9, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 11, 10, 8, 6, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 6, 4, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 8, 7, 5, 4, 3, 4, 5, 5, 4, 7, 8, 7, 3, 2, 3, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 5, 5, 5, 4, 3, 2, 2, 4, 6, 8, 9, 8, 6, 5, 5, 15, 0, 47, 4, 9, 27, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 4, 5, 6, 8, 9, 10, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 8, 8, 7, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 5, 3, 3, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 8, 11, 7, 1, 5, 14, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 7, 7, 7, 7, 6, 5, 6, 6, 7, 7, 6, 6, 5, 9, 8, 6, 5, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 7, 6, 4, 3, 4, 5, 3, 4, 5, 6, 6, 6, 6, 5, 2, 4, 6, 8, 8, 6, 4, 2, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 5, 5, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 19, 0, 32, 78, 10, 1, 9, 3, 3, 5, 6, 6, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 4, 3, 7, 8, 4, 2, 2, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 8, 8, 7, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 6, 8, 8, 7, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 7, 7, 7, 6, 6, 7, 9, 11, 10, 7, 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2, 3, 4, 5, 6, 7, 8, 8, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 9, 8, 7, 6, 4, 3, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 0, 7, 8, 5, 11, 100, 17, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 2, 2, 3, 3, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 5, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 7, 8, 8, 6, 4, 9, 8, 8, 7, 6, 5, 4, 4, 5, 6, 7, 6, 4, 4, 6, 8, 11, 9, 7, 5, 4, 4, 4, 5, 9, 4, 2, 5, 4, 0, 0, 0, 3, 5, 7, 8, 6, 5, 4, 5, 5, 4, 3, 3, 5, 6, 5, 4, 4, 5, 5, 3, 2, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 6, 5, 4, 3, 2, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 9, 7, 4, 4, 5, 6, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 5, 4, 5, 5, 6, 4, 4, 5, 5, 6, 6, 7, 7, 5, 5, 6, 6, 6, 7, 7, 7, 18, 11, 9, 12, 9, 1, 0, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 10, 7, 4, 2, 5, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 3, 3, 5, 7, 2, 4, 6, 5, 4, 5, 8, 11, 6, 6, 5, 5, 5, 5, 6, 6, 5, 6, 7, 8, 8, 7, 6, 5, 5, 6, 7, 7, 8, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 3, 3, 5, 8, 6, 6, 5, 4, 4, 5, 6, 6, 3, 4, 5, 4, 4, 3, 4, 4, 4, 6, 7, 6, 4, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 5, 4, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 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5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 4, 16, 22, 16, 5, 2, 4, 7, 4, 4, 6, 7, 7, 8, 7, 7, 5, 5, 6, 6, 7, 8, 8, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 2, 2, 4, 6, 6, 5, 3, 2, 3, 5, 5, 5, 5, 5, 6, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 7, 6, 3, 3, 6, 7, 5, 6, 6, 5, 5, 5, 5, 4, 4, 7, 7, 6, 6, 5, 5, 4, 4, 5, 6, 7, 6, 5, 5, 7, 9, 8, 5, 2, 3, 5, 6, 4, 1, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 5, 5, 3, 3, 3, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 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5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 3, 5, 7, 9, 10, 7, 5, 3, 3, 4, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 2, 2, 3, 4, 6, 7, 8, 8, 5, 5, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 3, 4, 5, 6, 7, 7, 7, 7, 5, 7, 8, 8, 6, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 4, 8, 7, 2, 5, 6, 7, 6, 4, 3, 4, 5, 3, 4, 5, 6, 6, 6, 5, 5, 5, 1, 13, 5, 20, 19, 0, 19, 6, 5, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 3, 3, 4, 3, 3, 3, 2, 3, 4, 4, 5, 5, 5, 5, 5, 4, 3, 2, 1, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 8, 7, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 7, 5, 4, 4, 6, 6, 5, 3, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 5, 6, 7, 3, 3, 5, 5, 5, 9, 15, 3, 4, 6, 8, 8, 6, 4, 3, 6, 6, 5, 4, 4, 4, 5, 6, 7, 6, 5, 5, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 6, 6, 4, 7, 22, 37, 2, 8, 21, 10, 29, 2, 24, 0, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 3, 4, 5, 8, 20, 27, 21, 11, 7, 9, 11, 2, 3, 5, 6, 7, 8, 8, 7, 4, 5, 5, 6, 7, 8, 9, 9, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 3, 2, 4, 6, 7, 6, 4, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 8, 7, 6, 5, 4, 4, 6, 7, 7, 6, 5, 5, 7, 9, 5, 4, 3, 5, 8, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 4, 4, 4, 5, 6, 2, 3, 3, 4, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 5, 5, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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4, 4, 4, 4, 8, 5, 3, 3, 2, 1, 7, 15, 8, 11, 0, 18, 0, 0, 0, 24, 6, 6, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 3, 4, 5, 4, 12, 17, 13, 8, 7, 6, 5, 1, 2, 3, 5, 6, 6, 6, 6, 3, 3, 4, 5, 6, 7, 8, 8, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 6, 4, 5, 5, 5, 5, 4, 3, 2, 4, 6, 8, 7, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 8, 7, 6, 5, 4, 4, 6, 7, 7, 6, 4, 4, 6, 8, 7, 6, 5, 5, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 4, 4, 4, 5, 6, 6, 3, 3, 4, 5, 6, 7, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 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5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 6, 14, 16, 13, 6, 4, 7, 6, 2, 3, 4, 4, 5, 5, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 7, 5, 3, 3, 4, 4, 4, 3, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 5, 6, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 6, 3, 4, 5, 5, 6, 6, 5, 5, 5, 6, 6, 5, 3, 2, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 8, 8, 4, 3, 5, 5, 3, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 5, 6, 6, 7, 9, 12, 2, 4, 5, 16, 149, 13, 9, 7, 5, 4, 3, 4, 5, 5, 6, 5, 4, 4, 3, 3, 3, 4, 5, 5, 4, 3, 3, 4, 4, 5, 7, 8, 8, 7, 6, 5, 3, 2, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 7, 7, 6, 5, 4, 4, 4, 4, 6, 4, 3, 4, 6, 7, 6, 4, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 7, 8, 8, 9, 2, 7, 8, 3, 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6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 5, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 5, 7, 9, 8, 6, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 10, 16, 17, 12, 6, 2, 1, 2, 10, 8, 5, 9, 5, 0, 5, 3, 3, 4, 7, 11, 11, 6, 2, 5, 4, 4, 4, 4, 4, 3, 3, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 13, 43, 11, 11, 1, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 7, 8, 10, 11, 7, 7, 6, 5, 5, 4, 3, 3, 7, 7, 5, 4, 3, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 5, 4, 4, 6, 8, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 6, 5, 4, 4, 4, 6, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 4, 4, 4, 5, 5, 38, 36, 23, 6, 0, 5, 8, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 7, 5, 3, 3, 4, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 8, 8, 7, 6, 4, 3, 2, 2, 3, 4, 5, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 3, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 2, 2, 3, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 8, 9, 5, 2, 4, 5, 3, 3, 5, 6, 6, 4, 4, 5, 7, 5, 5, 4, 4, 4, 5, 6, 7, 0, 6, 9, 5, 20, 44, 157, 33, 7, 6, 6, 5, 5, 5, 5, 6, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 5, 4, 4, 4, 4, 5, 7, 7, 8, 7, 7, 6, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 4, 4, 3, 2, 6, 6, 5, 4, 4, 4, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 5, 6, 3, 8, 9, 5, 2, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 8, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 3, 2, 6, 7, 5, 5, 9, 18, 5, 0, 20, 0, 6, 0, 20, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 6, 7, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 3, 8, 9, 6, 4, 6, 5, 3, 4, 4, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 5, 5, 6, 7, 5, 5, 6, 6, 6, 5, 4, 3, 4, 6, 9, 9, 7, 5, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 3, 4, 8, 8, 4, 3, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 2, 1, 3, 4, 4, 4, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 6, 4, 2, 2, 4, 6, 8, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 6, 8, 8, 6, 4, 4, 4, 7, 7, 6, 6, 6, 6, 5, 5, 7, 8, 9, 10, 8, 6, 4, 2, 6, 11, 8, 5, 8, 3, 0, 6, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 7, 24, 10, 6, 8, 4, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 8, 10, 11, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 7, 9, 11, 12, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 5, 3, 3, 4, 6, 5, 5, 6, 7, 7, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 6, 5, 5, 6, 6, 3, 4, 4, 4, 4, 4, 5, 7, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 4, 4, 4, 4, 5, 31, 30, 19, 3, 0, 5, 8, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 7, 5, 3, 3, 4, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 9, 9, 7, 5, 3, 3, 4, 5, 5, 5, 4, 4, 3, 4, 5, 5, 4, 3, 3, 6, 8, 3, 4, 6, 7, 7, 6, 4, 3, 4, 9, 10, 5, 2, 3, 4, 3, 3, 4, 6, 6, 4, 4, 6, 7, 7, 6, 5, 4, 4, 4, 5, 6, 0, 5, 20, 0, 14, 31, 22, 0, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 8, 9, 9, 7, 4, 2, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 8, 7, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 3, 4, 6, 7, 6, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 7, 6, 3, 3, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 7, 7, 8, 8, 6, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 5, 5, 6, 4, 0, 2, 8, 2, 0, 16, 11, 0, 11, 13, 0, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 6, 7, 7, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 7, 6, 5, 2, 8, 9, 4, 0, 1, 2, 2, 6, 6, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 5, 6, 6, 6, 6, 5, 4, 3, 3, 6, 9, 9, 7, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 2, 3, 9, 9, 3, 2, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 3, 1, 0, 2, 3, 1, 4, 6, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 9, 7, 3, 1, 1, 3, 7, 9, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 6, 5, 3, 2, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 7, 7, 5, 3, 2, 2, 9, 8, 8, 7, 5, 4, 4, 3, 8, 6, 3, 3, 4, 5, 5, 4, 0, 5, 1, 0, 4, 1, 1, 11, 6, 6, 6, 4, 2, 2, 5, 7, 4, 4, 4, 5, 5, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 7, 7, 7, 6, 6, 6, 5, 5, 1, 2, 3, 9, 0, 17, 2, 14, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 10, 14, 16, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 6, 6, 7, 8, 8, 7, 7, 6, 6, 4, 4, 3, 3, 3, 3, 3, 3, 4, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 4, 2, 2, 4, 5, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 8, 7, 6, 6, 6, 7, 1, 2, 3, 3, 3, 3, 4, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 5, 4, 4, 4, 4, 4, 1, 8, 8, 0, 0, 7, 7, 0, 7, 6, 6, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 7, 7, 5, 3, 3, 4, 4, 4, 3, 6, 5, 3, 2, 2, 3, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 8, 10, 10, 8, 4, 2, 4, 4, 5, 5, 5, 4, 3, 3, 5, 6, 6, 5, 4, 5, 8, 10, 3, 4, 6, 7, 7, 6, 4, 3, 4, 9, 10, 5, 2, 3, 4, 3, 2, 4, 6, 5, 5, 4, 6, 8, 8, 7, 5, 4, 3, 3, 4, 5, 13, 7, 0, 28, 5, 9, 8, 5, 3, 4, 6, 7, 8, 8, 7, 6, 4, 6, 9, 12, 11, 8, 5, 2, 7, 7, 6, 5, 4, 4, 4, 4, 3, 3, 4, 5, 5, 5, 4, 4, 8, 7, 5, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 7, 5, 4, 3, 4, 6, 7, 6, 5, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 5, 5, 5, 7, 7, 6, 6, 6, 6, 6, 6, 11, 4, 3, 9, 10, 4, 0, 1, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 7, 8, 8, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 8, 9, 8, 6, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 7, 5, 2, 4, 12, 15, 9, 5, 6, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 2, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 4, 3, 3, 2, 2, 3, 3, 2, 2, 3, 5, 7, 8, 7, 6, 6, 5, 5, 6, 6, 7, 1, 0, 2, 6, 5, 3, 4, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 13, 0, 3, 25, 26, 0, 32, 0, 4, 5, 7, 8, 8, 7, 5, 4, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 5, 6, 6, 5, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 8, 7, 5, 4, 3, 4, 5, 6, 6, 5, 4, 3, 3, 3, 3, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 4, 7, 9, 11, 26, 16, 4, 0, 0, 4, 5, 4, 6, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 2, 3, 5, 6, 7, 7, 3, 5, 7, 7, 5, 4, 4, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 4, 5, 6, 8, 9, 9, 8, 6, 5, 4, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 3, 1, 1, 2, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 4, 2, 2, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 8, 8, 7, 6, 4, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 4, 5, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 9, 5, 2, 3, 7, 8, 5, 1, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 6, 9, 10, 7, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 7, 7, 7, 7, 7, 5, 6, 6, 5, 3, 3, 5, 7, 9, 12, 4, 0, 7, 10, 3, 1, 5, 4, 4, 3, 3, 4, 4, 5, 2, 2, 3, 3, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 2, 8, 7, 7, 6, 6, 7, 7, 8, 5, 5, 5, 4, 4, 3, 3, 2, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 8, 5, 4, 5, 7, 7, 4, 1, 3, 4, 4, 5, 5, 6, 6, 7, 8, 7, 6, 6, 8, 9, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 3, 5, 8, 10, 5, 5, 5, 4, 4, 3, 3, 3, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 4, 5, 6, 6, 5, 3, 5, 7, 7, 5, 4, 4, 5, 3, 4, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 4, 6, 7, 6, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 9, 15, 18, 16, 11, 6, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 7, 7, 6, 5, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 7, 8, 9, 9, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 6, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 8, 9, 7, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 3, 4, 10, 12, 7, 4, 5, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 8, 8, 7, 7, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 6, 5, 4, 3, 3, 4, 4, 3, 3, 4, 6, 8, 9, 5, 5, 5, 4, 4, 5, 5, 5, 6, 1, 0, 1, 2, 2, 5, 10, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 0, 26, 3, 103, 11, 22, 0, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 7, 6, 5, 4, 3, 4, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 4, 3, 4, 6, 8, 10, 16, 11, 4, 2, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 6, 7, 8, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 4, 3, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 1, 0, 1, 5, 10, 10, 5, 0, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 6, 9, 9, 7, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 7, 7, 6, 6, 4, 5, 5, 4, 2, 2, 4, 6, 0, 0, 5, 7, 3, 3, 6, 8, 5, 4, 4, 3, 3, 4, 4, 5, 2, 2, 3, 4, 4, 5, 6, 6, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 3, 3, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 3, 3, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 5, 4, 5, 6, 7, 4, 2, 4, 4, 5, 5, 5, 5, 6, 6, 8, 6, 5, 6, 7, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 5, 8, 9, 5, 5, 5, 4, 4, 3, 3, 3, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 5, 6, 6, 5, 2, 3, 5, 4, 3, 2, 3, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 4, 6, 7, 6, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 9, 9, 7, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 7, 7, 8, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 8, 8, 7, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 8, 4, 4, 7, 8, 6, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 10, 10, 9, 8, 7, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 8, 8, 7, 7, 6, 5, 5, 4, 5, 5, 5, 5, 6, 7, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 8, 3, 1, 6, 9, 8, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 18, 0, 80, 17, 14, 0, 4, 4, 4, 3, 3, 3, 3, 4, 4, 6, 6, 5, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 4, 3, 3, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 7, 6, 5, 4, 4, 5, 7, 8, 5, 5, 5, 6, 6, 6, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 5, 4, 3, 3, 3, 5, 7, 7, 5, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 3, 3, 2, 2, 3, 3, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 2, 2, 2, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 6, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 0, 2, 6, 13, 18, 17, 11, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 5, 7, 8, 6, 5, 3, 3, 3, 4, 4, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 3, 4, 4, 3, 2, 2, 3, 5, 24, 4, 5, 11, 1, 1, 9, 6, 5, 4, 4, 3, 3, 4, 4, 5, 2, 2, 3, 4, 4, 5, 6, 6, 8, 7, 7, 7, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 5, 4, 4, 6, 6, 5, 3, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 7, 9, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 3, 4, 4, 3, 2, 3, 6, 9, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 4, 6, 7, 6, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 7, 5, 5, 6, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 1, 1, 3, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 5, 4, 4, 3, 3, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 6, 4, 4, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 5, 6, 6, 9, 6, 4, 4, 5, 5, 4, 3, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 6, 6, 7, 7, 4, 4, 5, 5, 5, 5, 4, 4, 6, 4, 8, 18, 23, 17, 7, 1, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 16, 0, 0, 15, 20, 0, 13, 3, 6, 5, 4, 3, 3, 4, 5, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 3, 2, 2, 3, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 7, 6, 5, 4, 4, 4, 5, 6, 0, 3, 5, 6, 5, 4, 4, 5, 2, 3, 4, 4, 6, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 8, 7, 6, 5, 4, 3, 3, 5, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 5, 4, 5, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 1, 2, 2, 3, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 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5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 5, 6, 6, 6, 5, 4, 6, 10, 14, 10, 9, 7, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 4, 3, 4, 6, 7, 6, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 5, 4, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 2, 2, 5, 8, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 6, 5, 4, 4, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 8, 7, 4, 3, 4, 5, 5, 3, 8, 7, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 2, 2, 2, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 6, 4, 8, 19, 24, 17, 7, 0, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 0, 6, 7, 17, 3, 3, 9, 7, 7, 6, 5, 4, 4, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 3, 2, 2, 3, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 5, 6, 5, 5, 4, 4, 4, 5, 5, 3, 4, 5, 5, 3, 2, 3, 5, 2, 3, 4, 4, 6, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 6, 6, 6, 6, 3, 5, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 6, 5, 4, 3, 9, 8, 7, 6, 5, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 1, 2, 3, 4, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 2, 3, 3, 4, 4, 4, 5, 7, 6, 4, 2, 2, 2, 3, 4, 2, 4, 6, 8, 8, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 5, 7, 9, 8, 6, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 5, 6, 7, 3, 3, 3, 4, 4, 5, 5, 5, 2, 3, 4, 4, 6, 6, 7, 8, 3, 4, 4, 5, 5, 4, 3, 3, 4, 5, 6, 6, 5, 5, 7, 9, 74, 21, 4, 9, 0, 4, 11, 0, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 4, 4, 4, 4, 5, 5, 8, 8, 8, 7, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 5, 3, 2, 3, 4, 5, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 9, 9, 6, 4, 4, 5, 6, 6, 6, 5, 4, 6, 10, 14, 11, 9, 7, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 4, 2, 1, 2, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 6, 5, 4, 5, 7, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 7, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 4, 4, 3, 3, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 5, 4, 3, 4, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 7, 7, 5, 3, 4, 7, 7, 3, 9, 8, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 2, 2, 3, 4, 6, 7, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 4, 3, 4, 6, 7, 8, 8, 7, 6, 4, 8, 3, 3, 8, 11, 8, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 2, 12, 6, 6, 3, 16, 9, 0, 7, 7, 6, 6, 6, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 7, 7, 6, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 3, 5, 7, 7, 5, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 4, 3, 3, 11, 10, 8, 7, 5, 5, 4, 4, 7, 6, 6, 6, 5, 5, 5, 5, 2, 3, 4, 5, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 2, 3, 4, 4, 5, 5, 6, 7, 6, 5, 4, 3, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 4, 3, 3, 5, 8, 3, 3, 3, 4, 4, 5, 5, 5, 1, 2, 3, 4, 6, 7, 8, 9, 5, 5, 5, 6, 5, 4, 3, 3, 5, 6, 7, 6, 6, 6, 8, 11, 24, 4, 5, 11, 1, 1, 9, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 7, 7, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 3, 3, 6, 9, 6, 6, 5, 5, 5, 5, 4, 4, 5, 4, 3, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 8, 11, 10, 6, 4, 4, 5, 3, 4, 4, 3, 2, 3, 6, 9, 9, 8, 7, 6, 6, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 5, 4, 4, 6, 6, 5, 3, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 1, 2, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 5, 6, 4, 3, 3, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 8, 7, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 6, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 3, 3, 4, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 7, 7, 4, 6, 10, 9, 4, 10, 9, 6, 4, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 5, 6, 6, 7, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 6, 2, 1, 4, 4, 2, 2, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 16, 5, 4, 0, 14, 11, 9, 0, 5, 5, 6, 6, 6, 6, 5, 5, 8, 7, 6, 5, 5, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 7, 6, 5, 4, 3, 8, 7, 6, 5, 5, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 5, 4, 2, 2, 4, 5, 7, 2, 2, 3, 4, 5, 5, 5, 5, 6, 4, 2, 4, 7, 8, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 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4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 9, 0, 0, 2, 1, 7, 11, 3, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 24, 36, 27, 10, 3, 5, 8, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 3, 1, 6, 16, 25, 11, 9, 4, 0, 3, 8, 9, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 8, 10, 11, 11, 9, 6, 4, 7, 7, 6, 5, 4, 4, 4, 4, 6, 2, 3, 9, 9, 3, 2, 6, 6, 5, 3, 2, 2, 3, 5, 6, 8, 7, 6, 5, 4, 4, 4, 4, 6, 5, 3, 2, 2, 3, 5, 6, 7, 8, 8, 8, 7, 5, 3, 2, 5, 4, 4, 3, 3, 4, 4, 5, 9, 7, 5, 4, 4, 5, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 2, 4, 6, 8, 8, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 1, 3, 6, 5, 3, 2, 4, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 5, 6, 5, 4, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 5, 7, 7, 7, 7, 5, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 5, 4, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 6, 7, 7, 8, 9, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 6, 6, 6, 6, 5, 4, 3, 1, 3, 4, 3, 2, 2, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 0, 15, 21, 10, 1, 3, 5, 1, 1, 1, 1, 2, 2, 2, 3, 3, 1, 1, 2, 4, 7, 8, 6, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 2, 2, 4, 5, 5, 4, 4, 5, 5, 6, 8, 9, 9, 10, 6, 5, 4, 4, 6, 6, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 9, 8, 6, 4, 4, 5, 7, 8, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 2, 1, 3, 6, 8, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 5, 5, 5, 6, 7, 8, 4, 4, 5, 5, 6, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 5, 4, 3, 5, 8, 8, 5, 5, 8, 8, 5, 9, 7, 5, 6, 8, 8, 6, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 6, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 3, 5, 7, 7, 5, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 1, 9, 10, 0, 0, 4, 1, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 13, 21, 16, 8, 5, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 7, 6, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 6, 8, 6, 4, 5, 11, 16, 18, 17, 12, 5, 3, 6, 6, 2, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 7, 6, 6, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 3, 4, 8, 8, 4, 3, 6, 5, 5, 3, 3, 3, 3, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 3, 3, 3, 3, 5, 5, 6, 6, 7, 7, 7, 5, 3, 2, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 5, 5, 4, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 2, 4, 6, 8, 8, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 4, 4, 3, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 8, 13, 13, 10, 5, 6, 5, 5, 4, 4, 5, 5, 6, 2, 3, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 6, 7, 8, 8, 7, 6, 5, 5, 4, 4, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 5, 3, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 18, 23, 12, 3, 4, 4, 1, 2, 3, 3, 3, 4, 4, 4, 5, 2, 2, 2, 4, 6, 7, 5, 3, 4, 4, 6, 6, 6, 6, 4, 4, 6, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 8, 6, 4, 4, 5, 6, 6, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 3, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 26, 23, 17, 11, 6, 3, 2, 2, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 6, 7, 8, 5, 5, 5, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 5, 8, 8, 5, 5, 8, 8, 5, 6, 5, 4, 5, 7, 7, 6, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 3, 4, 6, 7, 7, 6, 4, 3, 3, 5, 7, 7, 5, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 5, 7, 7, 6, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 8, 4, 9, 10, 2, 3, 7, 2, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 6, 5, 6, 8, 5, 0, 4, 4, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 9, 9, 7, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 2, 6, 9, 9, 6, 4, 4, 6, 21, 22, 18, 10, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 4, 2, 2, 3, 4, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 3, 4, 7, 7, 4, 3, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 5, 6, 6, 5, 4, 2, 6, 5, 5, 5, 5, 5, 5, 6, 3, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 4, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 2, 4, 6, 8, 8, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 3, 3, 2, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 3, 1, 9, 19, 21, 13, 3, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 4, 5, 6, 7, 6, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 7, 8, 7, 6, 6, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 7, 7, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 15, 19, 11, 4, 5, 5, 2, 4, 4, 4, 5, 5, 6, 6, 6, 4, 3, 3, 4, 6, 6, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 10, 8, 5, 5, 6, 6, 5, 4, 6, 5, 5, 5, 4, 4, 3, 3, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 18, 15, 12, 8, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 6, 7, 7, 7, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 8, 8, 5, 5, 8, 8, 5, 2, 1, 1, 2, 3, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 4, 6, 7, 3, 4, 6, 7, 7, 6, 4, 3, 3, 5, 7, 7, 5, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 7, 8, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 14, 2, 0, 2, 2, 9, 13, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 2, 3, 6, 9, 7, 3, 4, 4, 5, 6, 7, 8, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 9, 9, 7, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 3, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 2, 5, 8, 8, 5, 3, 2, 3, 13, 17, 16, 9, 4, 5, 8, 8, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 6, 7, 7, 5, 4, 5, 6, 6, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 6, 5, 4, 3, 6, 6, 6, 7, 7, 6, 6, 6, 2, 3, 5, 7, 7, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 4, 3, 3, 6, 6, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 8, 8, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 2, 0, 5, 14, 16, 9, 1, 6, 5, 5, 4, 4, 5, 5, 6, 12, 11, 8, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 4, 4, 4, 5, 6, 6, 3, 4, 6, 8, 7, 6, 4, 2, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 7, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 7, 8, 9, 7, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 0, 6, 10, 6, 3, 6, 7, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 3, 4, 5, 5, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 10, 8, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 5, 3, 3, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 2, 3, 5, 8, 9, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 6, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 8, 8, 5, 5, 8, 8, 5, 1, 1, 2, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 3, 5, 7, 7, 5, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 7, 8, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 2, 8, 10, 3, 5, 10, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 5, 5, 5, 5, 6, 4, 4, 5, 6, 7, 8, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 3, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 4, 3, 2, 3, 5, 5, 10, 11, 5, 2, 4, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 5, 4, 2, 4, 4, 4, 4, 5, 6, 7, 7, 5, 6, 5, 4, 4, 5, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 6, 5, 4, 3, 5, 6, 7, 7, 7, 7, 6, 5, 3, 5, 7, 9, 9, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 7, 6, 5, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 7, 7, 7, 6, 6, 6, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 7, 7, 7, 6, 5, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 7, 7, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 3, 3, 5, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 12, 11, 8, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 5, 4, 4, 4, 5, 6, 2, 4, 6, 7, 8, 6, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 3, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 4, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 8, 9, 9, 8, 5, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 5, 4, 4, 6, 7, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 5, 4, 3, 4, 4, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 9, 7, 4, 3, 4, 4, 3, 1, 3, 4, 4, 5, 6, 7, 7, 8, 6, 5, 4, 4, 6, 6, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 7, 6, 6, 5, 3, 2, 1, 2, 2, 3, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 5, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 5, 6, 7, 7, 5, 8, 8, 5, 5, 8, 8, 5, 4, 5, 7, 6, 5, 5, 6, 7, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 3, 5, 7, 7, 5, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 7, 7, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 3, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 0, 12, 34, 34, 11, 0, 7, 11, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 5, 6, 4, 1, 2, 6, 4, 4, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 5, 4, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 3, 2, 1, 2, 3, 5, 6, 4, 7, 7, 3, 1, 3, 4, 2, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 1, 3, 6, 8, 9, 7, 4, 3, 5, 5, 4, 4, 4, 5, 6, 6, 5, 7, 6, 3, 3, 6, 7, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 5, 6, 7, 8, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 5, 4, 2, 4, 5, 6, 7, 7, 6, 5, 4, 4, 5, 7, 9, 9, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 5, 4, 6, 6, 7, 7, 7, 7, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 8, 8, 8, 8, 7, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 5, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 8, 9, 8, 5, 1, 1, 5, 9, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 3, 4, 5, 6, 7, 6, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 7, 8, 8, 7, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 6, 5, 6, 7, 5, 3, 4, 4, 4, 5, 5, 6, 6, 6, 8, 5, 3, 3, 4, 4, 3, 2, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 6, 5, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 5, 3, 3, 3, 4, 3, 2, 2, 3, 4, 5, 6, 7, 8, 9, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 3, 3, 3, 2, 3, 3, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 5, 6, 7, 5, 8, 8, 5, 5, 8, 8, 5, 6, 8, 9, 8, 5, 4, 6, 8, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 3, 5, 7, 7, 5, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 2, 13, 33, 33, 11, 2, 8, 10, 6, 6, 5, 5, 5, 5, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 11, 6, 4, 7, 7, 3, 2, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 5, 3, 2, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 3, 3, 3, 4, 4, 4, 6, 7, 5, 2, 3, 6, 5, 1, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 2, 3, 5, 6, 6, 6, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 4, 7, 6, 2, 2, 6, 7, 4, 3, 3, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 4, 6, 7, 7, 3, 3, 5, 5, 5, 5, 3, 3, 6, 6, 7, 7, 7, 5, 3, 2, 2, 4, 5, 7, 7, 5, 4, 2, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 5, 5, 4, 4, 4, 3, 6, 7, 7, 8, 8, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 8, 8, 8, 7, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 5, 6, 6, 7, 7, 7, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 7, 8, 6, 3, 2, 5, 8, 6, 5, 5, 4, 4, 5, 5, 6, 2, 3, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 2, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 8, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 6, 7, 6, 5, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 7, 3, 4, 6, 6, 4, 2, 5, 6, 6, 6, 7, 7, 7, 8, 7, 5, 2, 2, 3, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 5, 3, 3, 5, 6, 5, 4, 3, 3, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 7, 9, 12, 13, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 2, 3, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 3, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 2, 2, 3, 5, 6, 5, 8, 8, 5, 5, 8, 8, 5, 5, 7, 8, 7, 3, 2, 3, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 3, 2, 3, 4, 6, 7, 7, 6, 4, 3, 3, 5, 7, 7, 5, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 3, 3, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 4, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 1, 4, 6, 0, 3, 7, 1, 7, 6, 6, 5, 5, 4, 4, 3, 7, 7, 7, 6, 6, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 16, 7, 4, 9, 13, 9, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 5, 4, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 5, 5, 4, 2, 0, 5, 6, 4, 2, 6, 11, 9, 3, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 3, 3, 2, 3, 4, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 8, 7, 1, 1, 7, 8, 4, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 4, 4, 4, 5, 6, 7, 2, 3, 5, 6, 6, 5, 3, 2, 7, 8, 8, 8, 7, 5, 3, 2, 1, 3, 5, 6, 6, 5, 3, 1, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 3, 5, 7, 9, 9, 7, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 4, 4, 4, 3, 3, 3, 6, 7, 7, 8, 8, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 7, 7, 7, 6, 5, 4, 3, 2, 2, 2, 3, 4, 4, 3, 2, 2, 5, 5, 5, 6, 6, 7, 7, 7, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 0, 2, 4, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 5, 6, 5, 4, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 4, 3, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 7, 8, 9, 10, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 6, 6, 6, 6, 5, 4, 3, 3, 5, 6, 6, 4, 4, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 1, 0, 1, 5, 6, 4, 3, 7, 7, 8, 8, 8, 9, 9, 9, 7, 4, 2, 2, 3, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 4, 4, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 4, 4, 6, 7, 7, 6, 4, 4, 3, 3, 3, 2, 2, 2, 6, 5, 4, 4, 6, 6, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 8, 12, 17, 21, 24, 12, 11, 10, 8, 6, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 4, 3, 2, 2, 7, 6, 4, 3, 3, 4, 6, 7, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 3, 2, 2, 4, 5, 6, 4, 5, 5, 5, 5, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 10, 9, 9, 8, 8, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 6, 5, 4, 3, 4, 6, 9, 11, 7, 5, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 0, 8, 7, 1, 8, 6, 1, 0, 8, 7, 7, 6, 6, 7, 8, 8, 2, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 6, 10, 4, 0, 2, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 10, 10, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 2, 2, 4, 6, 5, 5, 5, 4, 4, 3, 3, 3, 8, 7, 7, 6, 6, 5, 5, 5, 9, 8, 6, 5, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 9, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 7, 9, 8, 6, 6, 7, 8, 6, 6, 5, 5, 6, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 0, 8, 11, 5, 1, 3, 3, 0, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 6, 6, 6, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 4, 5, 6, 6, 5, 4, 7, 7, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 6, 4, 7, 15, 19, 16, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 4, 6, 8, 8, 7, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 3, 5, 7, 6, 4, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 9, 9, 7, 5, 4, 5, 2, 3, 5, 6, 7, 6, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 9, 10, 10, 8, 5, 4, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 4, 6, 6, 5, 3, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 5, 4, 4, 4, 4, 4, 2, 2, 3, 5, 9, 10, 10, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 5, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 0, 5, 8, 5, 3, 5, 6, 5, 1, 2, 4, 6, 8, 11, 12, 13, 8, 7, 6, 6, 4, 4, 3, 2, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 4, 3, 3, 3, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 4, 3, 4, 6, 9, 10, 7, 5, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 8, 9, 4, 7, 0, 4, 4, 9, 8, 7, 6, 6, 5, 6, 6, 7, 3, 3, 4, 4, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 8, 5, 3, 3, 3, 2, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 6, 7, 7, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 3, 3, 4, 6, 5, 5, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 5, 5, 4, 4, 7, 6, 5, 4, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 7, 8, 7, 6, 5, 6, 8, 5, 5, 5, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 13, 8, 5, 6, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 6, 6, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 4, 4, 4, 5, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 2, 0, 4, 17, 27, 29, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 7, 8, 8, 5, 5, 5, 6, 6, 7, 7, 8, 5, 4, 4, 6, 8, 9, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 3, 5, 7, 6, 4, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 26, 19, 9, 3, 2, 4, 5, 5, 3, 4, 5, 6, 7, 6, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 7, 7, 6, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 4, 2, 2, 5, 7, 4, 5, 5, 5, 5, 5, 5, 6, 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5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 5, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 2, 10, 9, 2, 9, 7, 4, 3, 3, 3, 3, 4, 5, 6, 8, 9, 5, 5, 5, 4, 4, 3, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 0, 6, 3, 1, 20, 41, 32, 4, 4, 5, 7, 8, 8, 7, 5, 4, 10, 9, 7, 6, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 2, 3, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 8, 9, 8, 6, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 3, 4, 5, 6, 5, 4, 2, 1, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 7, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 9, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 6, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 12, 15, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 3, 5, 6, 5, 3, 7, 7, 7, 7, 7, 7, 7, 7, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 8, 8, 7, 6, 4, 4, 4, 4, 4, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 6, 5, 5, 5, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 1, 2, 8, 8, 4, 4, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 4, 4, 2, 3, 3, 4, 6, 7, 7, 8, 8, 7, 6, 6, 7, 7, 4, 2, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 6, 9, 8, 6, 5, 5, 6, 8, 9, 7, 5, 3, 4, 6, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 7, 7, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 2, 0, 2, 7, 9, 5, 0, 6, 5, 4, 3, 4, 5, 7, 8, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 6, 7, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 6, 7, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 6, 8, 8, 8, 7, 6, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 4, 6, 6, 5, 3, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 7, 5, 4, 4, 5, 4, 2, 0, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9, 8, 3, 2, 4, 3, 0, 6, 6, 5, 5, 5, 5, 5, 4, 8, 7, 6, 6, 4, 4, 3, 2, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 8, 5, 6, 6, 7, 7, 6, 6, 5, 7, 7, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 2, 5, 5, 2, 2, 5, 5, 2, 4, 0, 10, 6, 11, 0, 6, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 4, 1, 3, 9, 13, 4, 4, 4, 4, 4, 5, 7, 7, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 6, 6, 4, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 7, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 2, 2, 3, 4, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 6, 7, 8, 8, 6, 5, 5, 11, 17, 20, 16, 12, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 11, 2, 13, 3, 2, 0, 13, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 2, 3, 4, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 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4, 4, 4, 3, 4, 5, 6, 7, 6, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 3, 6, 6, 3, 3, 6, 6, 3, 11, 0, 9, 1, 7, 0, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 0, 2, 4, 2, 0, 1, 5, 8, 6, 5, 5, 5, 5, 6, 6, 7, 5, 5, 4, 4, 4, 4, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 1, 2, 3, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 7, 5, 5, 6, 6, 6, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 6, 7, 5, 3, 2, 5, 10, 12, 8, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 0, 13, 0, 12, 9, 16, 0, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 4, 4, 4, 5, 5, 4, 3, 3, 6, 8, 9, 6, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 9, 14, 10, 5, 7, 5, 0, 3, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 3, 4, 5, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 7, 7, 6, 3, 4, 7, 9, 9, 7, 4, 3, 4, 4, 4, 3, 3, 4, 5, 5, 7, 7, 6, 5, 4, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 7, 5, 5, 6, 8, 5, 4, 4, 4, 4, 4, 3, 3, 7, 5, 3, 2, 2, 5, 7, 9, 4, 6, 7, 6, 5, 4, 5, 7, 8, 8, 7, 6, 5, 5, 4, 4, 6, 7, 8, 9, 8, 7, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 7, 6, 4, 4, 5, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 5, 9, 11, 9, 4, 2, 3, 6, 5, 5, 6, 6, 6, 6, 5, 5, 3, 4, 5, 7, 7, 7, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 5, 3, 3, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 0, 0, 1, 2, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 9, 8, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 33, 18, 8, 9, 8, 1, 0, 4, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 4, 3, 4, 6, 8, 9, 3, 4, 5, 5, 5, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 5, 5, 5, 5, 6, 6, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 6, 5, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 6, 7, 9, 10, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 6, 7, 7, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 3, 6, 6, 3, 3, 6, 6, 3, 7, 0, 7, 0, 2, 1, 11, 0, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 7, 6, 5, 5, 5, 1, 3, 5, 6, 5, 5, 6, 7, 8, 7, 7, 6, 6, 6, 6, 7, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 5, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 8, 9, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 5, 6, 3, 1, 2, 4, 5, 3, 0, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 0, 11, 0, 5, 4, 18, 0, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 5, 4, 3, 4, 6, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 6, 4, 4, 8, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 6, 6, 6, 7, 7, 7, 8, 7, 5, 4, 3, 2, 2, 2, 3, 3, 4, 5, 5, 4, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 8, 8, 7, 7, 3, 4, 5, 5, 5, 5, 4, 3, 6, 5, 4, 4, 3, 4, 4, 5, 6, 6, 5, 4, 3, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 6, 5, 5, 7, 9, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 3, 5, 6, 5, 4, 3, 4, 6, 7, 7, 7, 6, 5, 5, 4, 4, 4, 7, 11, 13, 13, 10, 5, 2, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 6, 5, 4, 3, 5, 5, 5, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 7, 8, 7, 5, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 8, 10, 12, 10, 5, 2, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 5, 3, 3, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 3, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 8, 9, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 10, 9, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 19, 8, 3, 6, 8, 3, 2, 6, 5, 5, 4, 4, 4, 5, 6, 7, 6, 5, 4, 4, 4, 5, 7, 8, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 8, 7, 6, 5, 5, 6, 7, 8, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 5, 4, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 7, 9, 11, 12, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 5, 6, 7, 8, 8, 9, 7, 6, 6, 5, 5, 6, 6, 7, 3, 6, 6, 3, 3, 6, 6, 3, 2, 0, 8, 6, 5, 8, 10, 0, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 5, 5, 4, 4, 5, 3, 5, 8, 9, 7, 6, 7, 10, 9, 8, 7, 6, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 6, 7, 8, 7, 7, 6, 6, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 8, 5, 2, 2, 3, 4, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 9, 6, 8, 7, 1, 0, 13, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 4, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 3, 3, 2, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 0, 2, 7, 3, 3, 7, 8, 5, 4, 3, 3, 4, 5, 7, 8, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 2, 2, 2, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 6, 5, 5, 6, 8, 3, 3, 3, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 5, 3, 4, 5, 5, 3, 2, 4, 5, 7, 6, 6, 5, 5, 4, 4, 4, 5, 7, 10, 13, 12, 9, 5, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 3, 2, 6, 5, 5, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 7, 7, 7, 5, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 6, 8, 10, 8, 5, 3, 3, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 4, 4, 5, 4, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 4, 6, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 4, 3, 3, 3, 3, 3, 5, 5, 4, 4, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 0, 0, 2, 6, 5, 5, 8, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 4, 4, 4, 5, 7, 7, 4, 5, 5, 5, 5, 5, 5, 4, 6, 6, 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6, 6, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 0, 14, 9, 0, 19, 7, 0, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 10, 2, 7, 9, 1, 5, 10, 0, 5, 4, 3, 3, 4, 5, 7, 8, 3, 3, 4, 4, 5, 5, 5, 5, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 4, 5, 5, 5, 5, 4, 7, 6, 5, 4, 4, 5, 6, 7, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 7, 6, 4, 3, 3, 5, 4, 5, 5, 6, 6, 7, 7, 7, 4, 5, 6, 6, 6, 5, 4, 3, 3, 4, 5, 5, 3, 2, 4, 5, 6, 5, 5, 5, 5, 4, 4, 4, 6, 7, 7, 7, 7, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 3, 2, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 6, 6, 5, 3, 2, 3, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 2, 4, 5, 5, 4, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 2, 1, 2, 3, 3, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 7, 8, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 3, 3, 3, 3, 3, 4, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 5, 5, 7, 7, 4, 3, 3, 6, 6, 5, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 4, 3, 3, 4, 5, 6, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 4, 7, 7, 4, 4, 7, 7, 4, 8, 3, 3, 13, 0, 4, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 18, 6, 0, 4, 8, 5, 3, 6, 8, 7, 7, 6, 6, 6, 6, 7, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 6, 6, 5, 4, 5, 5, 5, 5, 6, 6, 6, 6, 8, 7, 6, 6, 5, 5, 6, 6, 1, 1, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 15, 0, 7, 4, 14, 3, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 6, 7, 7, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 4, 5, 6, 6, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 8, 1, 8, 9, 4, 21, 28, 4, 5, 5, 4, 4, 4, 5, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 2, 2, 2, 3, 4, 5, 7, 8, 7, 7, 6, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 3, 4, 4, 4, 4, 3, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 6, 7, 8, 6, 6, 5, 4, 3, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 3, 2, 2, 3, 6, 6, 6, 7, 7, 7, 7, 7, 5, 5, 6, 6, 6, 5, 4, 3, 3, 5, 6, 5, 4, 3, 4, 6, 5, 5, 5, 4, 4, 4, 4, 4, 8, 6, 4, 3, 3, 3, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 6, 5, 4, 3, 7, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 6, 6, 5, 3, 1, 2, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 0, 1, 2, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 8, 7, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 2, 2, 6, 11, 12, 10, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 5, 6, 7, 9, 10, 4, 4, 3, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 6, 4, 3, 2, 7, 6, 5, 4, 4, 4, 5, 5, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 7, 6, 5, 5, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 2, 2, 2, 2, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 7, 7, 4, 4, 7, 7, 4, 2, 0, 3, 27, 4, 3, 0, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 6, 6, 7, 30, 13, 2, 5, 9, 7, 6, 10, 6, 5, 5, 5, 5, 6, 6, 7, 5, 5, 4, 4, 4, 4, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 16, 14, 12, 9, 8, 7, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 6, 5, 4, 4, 5, 5, 0, 2, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 12, 4, 39, 91, 2, 7, 12, 9, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 4, 4, 4, 5, 5, 3, 6, 9, 8, 6, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 0, 7, 6, 5, 37, 46, 9, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 3, 3, 3, 3, 4, 5, 6, 6, 7, 6, 5, 4, 4, 5, 6, 7, 5, 5, 5, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 6, 7, 9, 10, 7, 7, 6, 5, 4, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 5, 3, 3, 3, 5, 7, 7, 6, 6, 6, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 6, 7, 6, 5, 4, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 2, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 7, 6, 5, 4, 8, 8, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 7, 6, 4, 2, 3, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 4, 5, 5, 4, 3, 5, 5, 6, 6, 6, 6, 5, 5, 10, 9, 8, 6, 6, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 6, 5, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 5, 10, 16, 18, 15, 11, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 6, 7, 8, 9, 4, 4, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 2, 2, 2, 3, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 3, 3, 4, 4, 5, 5, 5, 5, 7, 6, 5, 5, 5, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 7, 6, 5, 5, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 8, 8, 5, 5, 8, 8, 5, 0, 1, 15, 51, 24, 12, 0, 9, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 7, 8, 9, 9, 33, 13, 0, 1, 5, 3, 3, 9, 4, 4, 4, 4, 4, 5, 7, 7, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 32, 29, 24, 18, 12, 8, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 8, 9, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 7, 8, 8, 7, 6, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 4, 3, 3, 3, 3, 3, 3, 5, 8, 9, 7, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 75, 247, 27, 25, 0, 11, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 3, 4, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 2, 3, 3, 4, 4, 5, 5, 6, 3, 7, 10, 10, 7, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 1, 9, 3, 2, 39, 47, 0, 5, 6, 7, 7, 6, 5, 3, 2, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 4, 3, 3, 3, 4, 4, 6, 5, 3, 2, 2, 3, 5, 6, 5, 4, 4, 3, 3, 2, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 2, 3, 3, 4, 4, 3, 3, 2, 3, 3, 3, 4, 6, 8, 10, 11, 8, 7, 6, 6, 5, 5, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 4, 4, 4, 4, 5, 7, 7, 6, 6, 5, 5, 4, 4, 3, 7, 7, 5, 4, 4, 4, 4, 4, 5, 6, 8, 7, 5, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 7, 6, 5, 9, 8, 7, 7, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 8, 9, 7, 5, 3, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 6, 6, 6, 4, 2, 5, 6, 6, 7, 7, 6, 6, 5, 11, 10, 8, 7, 6, 7, 8, 8, 3, 4, 6, 7, 7, 6, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 1, 1, 6, 11, 12, 8, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 1, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 6, 6, 7, 7, 8, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 4, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 3, 1, 2, 2, 2, 7, 7, 5, 4, 4, 4, 4, 4, 2, 3, 4, 5, 5, 5, 5, 4, 8, 7, 5, 4, 4, 5, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 3, 5, 7, 9, 9, 7, 5, 3, 2, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 7, 3, 4, 6, 6, 6, 6, 4, 3, 5, 5, 5, 5, 6, 7, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 7, 6, 6, 7, 7, 8, 7, 6, 5, 4, 4, 4, 4, 5, 8, 2, 2, 8, 11, 7, 5, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 7, 8, 6, 3, 0, 5, 6, 6, 6, 6, 6, 7, 7, 9, 7, 5, 4, 4, 5, 7, 9, 4, 6, 8, 10, 9, 7, 4, 1, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 4, 4, 5, 7, 8, 66, 252, 55, 20, 5, 8, 5, 9, 7, 7, 6, 4, 3, 3, 4, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 12, 0, 6, 9, 0, 14, 24, 0, 7, 0, 2, 0, 0, 10, 20, 2, 5, 6, 7, 7, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 6, 7, 8, 8, 7, 5, 3, 1, 1, 3, 5, 7, 9, 7, 5, 3, 2, 3, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 3, 9, 21, 26, 18, 4, 2, 8, 5, 5, 5, 5, 7, 6, 5, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 5, 6, 7, 8, 7, 5, 5, 5, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 5, 6, 7, 8, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 5, 4, 8, 12, 0, 9, 21, 4, 9, 4, 2, 1, 5, 12, 11, 3, 2, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 3, 3, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 5, 6, 3, 4, 4, 5, 5, 6, 6, 7, 2, 3, 3, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 8, 7, 7, 8, 9, 9, 5, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 7, 7, 7, 6, 6, 5, 5, 5, 8, 7, 5, 4, 3, 4, 5, 6, 8, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 4, 4, 6, 6, 7, 8, 1, 13, 22, 0, 9, 0, 8, 4, 7, 5, 4, 6, 8, 7, 6, 7, 2, 7, 8, 5, 2, 4, 4, 2, 7, 7, 7, 6, 6, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 3, 3, 2, 2, 2, 3, 5, 8, 9, 7, 5, 3, 2, 0, 2, 4, 4, 4, 4, 6, 8, 4, 5, 7, 8, 8, 7, 5, 4, 4, 3, 1, 2, 4, 6, 6, 5, 5, 3, 2, 5, 9, 12, 11, 9, 3, 4, 6, 7, 7, 6, 4, 3, 3, 6, 7, 6, 2, 1, 2, 4, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 2, 2, 2, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 4, 3, 2, 5, 7, 7, 6, 4, 4, 5, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 3, 2, 2, 3, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 4, 9, 13, 11, 6, 3, 4, 7, 5, 5, 5, 5, 4, 3, 2, 2, 3, 4, 4, 5, 5, 4, 4, 3, 7, 5, 3, 3, 5, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 5, 4, 3, 3, 4, 5, 9, 7, 5, 4, 4, 5, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 5, 4, 4, 4, 4, 7, 8, 8, 8, 7, 5, 3, 2, 5, 6, 6, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 8, 10, 1, 0, 6, 7, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 1, 2, 3, 2, 1, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 6, 5, 5, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 4, 3, 4, 7, 8, 5, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 8, 6, 4, 4, 5, 7, 8, 8, 5, 5, 5, 5, 5, 5, 4, 4, 7, 7, 5, 4, 4, 5, 7, 7, 5, 6, 7, 8, 7, 6, 4, 2, 3, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 4, 4, 5, 7, 8, 30, 140, 35, 14, 9, 10, 9, 2, 7, 7, 6, 4, 3, 3, 4, 6, 5, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 8, 0, 15, 71, 79, 22, 13, 2, 8, 11, 1, 5, 10, 0, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 7, 7, 5, 4, 2, 2, 4, 5, 7, 8, 7, 5, 4, 3, 4, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 2, 6, 12, 16, 10, 1, 1, 6, 6, 5, 5, 6, 6, 7, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 4, 5, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 6, 6, 5, 4, 0, 18, 7, 4, 0, 0, 9, 0, 6, 4, 4, 7, 8, 6, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 4, 3, 3, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 6, 5, 5, 5, 7, 6, 5, 4, 3, 4, 5, 5, 7, 7, 6, 6, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 4, 6, 13, 5, 8, 6, 9, 2, 0, 2, 4, 5, 3, 2, 4, 7, 3, 6, 7, 5, 4, 6, 5, 2, 7, 7, 7, 6, 6, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 4, 4, 4, 3, 3, 8, 7, 5, 5, 5, 7, 10, 11, 1, 3, 5, 5, 4, 4, 6, 8, 5, 5, 6, 7, 7, 6, 5, 5, 5, 4, 2, 3, 5, 6, 6, 5, 8, 6, 4, 5, 8, 9, 7, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 6, 7, 6, 3, 2, 3, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 3, 3, 2, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 4, 3, 2, 5, 7, 7, 6, 4, 4, 5, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 7, 6, 5, 4, 4, 5, 6, 7, 7, 7, 7, 6, 6, 5, 5, 5, 4, 8, 11, 9, 5, 3, 5, 8, 9, 8, 6, 4, 4, 4, 5, 6, 4, 4, 4, 5, 5, 4, 4, 4, 7, 5, 3, 3, 5, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 7, 3, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 6, 7, 7, 7, 6, 5, 4, 6, 7, 7, 8, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 17, 22, 13, 4, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 8, 5, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 2, 6, 7, 5, 3, 4, 4, 3, 6, 6, 7, 7, 7, 7, 6, 6, 6, 6, 5, 4, 5, 5, 7, 7, 5, 5, 5, 4, 3, 3, 2, 2, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 7, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 5, 6, 7, 8, 27, 17, 7, 10, 8, 13, 0, 7, 6, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 7, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 0, 15, 75, 81, 23, 13, 1, 4, 9, 1, 0, 3, 1, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 3, 5, 7, 5, 1, 3, 7, 5, 5, 5, 5, 6, 7, 8, 8, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 5, 5, 5, 5, 4, 0, 7, 6, 10, 7, 11, 19, 0, 8, 7, 4, 2, 5, 9, 7, 2, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 5, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 15, 0, 0, 7, 0, 5, 11, 7, 1, 6, 9, 7, 3, 1, 3, 6, 3, 6, 6, 4, 5, 8, 7, 2, 7, 7, 6, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 6, 6, 6, 5, 5, 5, 5, 4, 6, 4, 2, 2, 3, 6, 7, 8, 2, 4, 6, 6, 5, 5, 7, 9, 5, 5, 6, 6, 6, 6, 5, 5, 7, 5, 3, 4, 6, 7, 7, 6, 7, 5, 4, 5, 6, 7, 6, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 7, 6, 5, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 10, 9, 8, 6, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 3, 4, 5, 6, 5, 3, 3, 5, 7, 7, 5, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 5, 7, 7, 6, 5, 5, 6, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 3, 6, 7, 6, 3, 3, 6, 9, 12, 10, 7, 4, 4, 6, 8, 10, 4, 4, 4, 5, 5, 4, 4, 4, 7, 5, 3, 3, 5, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 5, 6, 7, 8, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 5, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 8, 4, 4, 5, 6, 7, 7, 6, 6, 7, 8, 8, 8, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 20, 28, 19, 7, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 5, 6, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 7, 6, 5, 4, 4, 4, 4, 5, 4, 9, 9, 3, 0, 4, 6, 4, 6, 7, 7, 8, 8, 7, 7, 6, 3, 5, 7, 8, 6, 4, 3, 2, 7, 7, 6, 5, 4, 3, 2, 2, 4, 5, 6, 6, 6, 6, 5, 4, 6, 5, 3, 3, 2, 3, 4, 5, 2, 3, 5, 7, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 11, 0, 9, 6, 5, 4, 14, 5, 6, 5, 4, 4, 5, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 8, 7, 7, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 3, 6, 4, 4, 22, 29, 12, 8, 3, 0, 0, 0, 4, 9, 8, 8, 6, 5, 4, 4, 4, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 6, 7, 8, 8, 7, 6, 5, 4, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 5, 6, 6, 7, 8, 4, 4, 5, 4, 4, 5, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 3, 4, 4, 4, 4, 4, 12, 0, 0, 8, 1, 0, 1, 0, 2, 6, 6, 2, 2, 7, 8, 3, 6, 6, 5, 5, 5, 4, 4, 4, 5, 4, 3, 3, 3, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 3, 2, 2, 3, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 4, 4, 4, 5, 6, 4, 5, 5, 6, 7, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 14, 0, 1, 30, 1, 9, 9, 5, 5, 8, 8, 5, 4, 4, 2, 0, 3, 4, 4, 2, 5, 8, 7, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 6, 5, 3, 0, 4, 5, 7, 7, 6, 5, 7, 9, 5, 5, 5, 6, 6, 5, 5, 5, 8, 6, 4, 4, 6, 7, 7, 6, 2, 2, 3, 4, 6, 7, 8, 8, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 7, 6, 6, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 8, 7, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 4, 6, 6, 5, 4, 3, 5, 7, 6, 5, 4, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 4, 3, 4, 7, 11, 10, 9, 7, 6, 6, 7, 8, 9, 5, 5, 5, 4, 4, 5, 5, 5, 7, 5, 3, 3, 5, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 5, 6, 6, 7, 7, 7, 6, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 6, 5, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 6, 5, 5, 5, 7, 7, 7, 7, 6, 5, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 1, 12, 18, 13, 6, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 5, 3, 3, 6, 10, 10, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 8, 9, 7, 6, 5, 4, 4, 4, 4, 5, 5, 8, 7, 3, 1, 3, 5, 3, 6, 7, 7, 8, 8, 7, 7, 6, 5, 6, 6, 5, 4, 6, 10, 14, 8, 8, 7, 6, 5, 4, 3, 3, 4, 4, 5, 6, 6, 5, 4, 4, 6, 4, 3, 2, 2, 3, 5, 6, 2, 3, 4, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 9, 15, 2, 8, 4, 3, 10, 11, 6, 4, 3, 4, 6, 7, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 7, 7, 6, 5, 4, 3, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 4, 0, 3, 12, 6, 0, 4, 10, 5, 12, 7, 0, 4, 12, 12, 8, 8, 6, 3, 3, 5, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 5, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 8, 10, 8, 5, 2, 4, 5, 5, 3, 3, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 8, 3, 0, 3, 11, 17, 0, 5, 8, 5, 3, 4, 6, 7, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 4, 3, 3, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 5, 6, 8, 9, 7, 6, 6, 5, 5, 4, 4, 3, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 6, 7, 7, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 3, 2, 2, 3, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 4, 0, 19, 57, 23, 17, 5, 0, 4, 3, 0, 0, 6, 12, 6, 0, 2, 4, 4, 2, 3, 6, 5, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 5, 6, 7, 6, 5, 6, 7, 4, 6, 7, 7, 5, 5, 6, 8, 5, 5, 5, 4, 4, 5, 5, 5, 8, 6, 5, 5, 6, 7, 7, 6, 2, 3, 4, 5, 5, 6, 7, 8, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 7, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 5, 4, 4, 5, 6, 5, 4, 3, 5, 7, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 5, 8, 10, 4, 5, 7, 8, 8, 7, 6, 5, 6, 6, 5, 4, 4, 5, 6, 6, 7, 5, 3, 3, 5, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 3, 10, 8, 5, 3, 4, 6, 9, 11, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 5, 8, 11, 15, 17, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 7, 7, 6, 5, 4, 3, 3, 3, 5, 5, 5, 5, 5, 4, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 4, 6, 6, 3, 4, 7, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 11, 5, 5, 12, 17, 18, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 6, 7, 7, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 6, 6, 7, 7, 8, 7, 6, 5, 4, 4, 4, 4, 5, 6, 3, 4, 9, 11, 7, 3, 2, 6, 6, 7, 7, 7, 7, 6, 6, 10, 8, 3, 0, 0, 8, 23, 34, 8, 8, 7, 7, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 3, 4, 6, 7, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 0, 27, 0, 9, 7, 6, 4, 11, 6, 3, 2, 4, 8, 9, 6, 3, 4, 5, 6, 7, 7, 6, 5, 4, 6, 6, 5, 5, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 3, 5, 10, 11, 7, 3, 0, 13, 11, 3, 6, 8, 8, 16, 8, 4, 2, 3, 7, 10, 10, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 4, 5, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 1, 4, 4, 4, 6, 8, 7, 2, 2, 5, 8, 7, 4, 2, 4, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 2, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 0, 9, 12, 0, 12, 25, 7, 6, 9, 7, 7, 8, 6, 2, 4, 10, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 3, 4, 6, 8, 9, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 5, 6, 7, 8, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 2, 17, 36, 14, 5, 4, 4, 4, 2, 0, 2, 15, 26, 18, 3, 1, 6, 8, 4, 2, 3, 4, 2, 5, 5, 6, 6, 6, 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5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 3, 6, 8, 7, 5, 4, 5, 6, 2, 6, 10, 9, 5, 3, 5, 8, 7, 5, 2, 3, 5, 7, 7, 6, 15, 1, 0, 0, 4, 12, 2, 3, 6, 4, 2, 2, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 3, 3, 6, 10, 6, 8, 8, 7, 5, 4, 5, 6, 7, 4, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 5, 7, 6, 3, 3, 5, 7, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 14, 16, 19, 50, 23, 3, 15, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 4, 3, 4, 5, 7, 8, 10, 5, 9, 0, 10, 5, 0, 55, 39, 10, 4, 11, 5, 5, 8, 0, 6, 5, 4, 3, 3, 4, 5, 6, 6, 4, 3, 3, 3, 3, 2, 0, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 2, 2, 4, 6, 5, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 7, 8, 8, 7, 5, 4, 7, 5, 4, 5, 6, 7, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 76, 48, 21, 12, 9, 3, 0, 3, 10, 8, 6, 4, 3, 4, 5, 6, 1, 0, 4, 7, 3, 5, 8, 0, 10, 7, 3, 2, 3, 5, 5, 5, 6, 5, 5, 5, 5, 6, 7, 8, 14, 0, 52, 33, 0, 16, 4, 2, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 5, 6, 8, 9, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 3, 3, 3, 3, 5, 5, 6, 8, 7, 3, 4, 7, 6, 1, 4, 3, 3, 3, 4, 4, 5, 6, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 5, 7, 6, 4, 3, 5, 7, 8, 13, 17, 15, 9, 4, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 8, 7, 5, 4, 3, 4, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 7, 7, 6, 5, 3, 2, 2, 5, 7, 7, 6, 8, 1, 12, 12, 0, 1, 35, 0, 4, 4, 4, 5, 5, 6, 6, 6, 2, 0, 2, 10, 12, 7, 3, 3, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 6, 7, 6, 6, 4, 4, 4, 4, 6, 6, 25, 238, 31, 0, 35, 4, 16, 0, 5, 6, 6, 5, 4, 4, 5, 7, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 5, 4, 6, 7, 4, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 4, 4, 4, 5, 7, 8, 7, 6, 5, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 3, 2, 2, 3, 6, 7, 3, 4, 6, 6, 5, 4, 4, 5, 2, 6, 9, 8, 5, 3, 5, 7, 5, 3, 2, 4, 7, 9, 10, 10, 0, 18, 4, 22, 0, 0, 9, 24, 4, 3, 1, 2, 5, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 3, 5, 8, 5, 6, 7, 6, 4, 3, 4, 5, 8, 7, 5, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 5, 7, 7, 5, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 25, 0, 27, 58, 96, 33, 2, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 8, 8, 7, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 0, 8, 6, 1, 15, 21, 9, 6, 9, 0, 3, 12, 6, 3, 5, 3, 6, 6, 5, 5, 5, 5, 6, 6, 5, 3, 2, 3, 4, 4, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 3, 4, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 6, 7, 7, 8, 8, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 6, 7, 7, 6, 5, 4, 7, 4, 2, 3, 6, 8, 7, 5, 5, 5, 4, 4, 4, 5, 6, 7, 34, 15, 0, 0, 0, 1, 7, 15, 10, 8, 6, 4, 3, 3, 4, 5, 4, 0, 5, 9, 5, 7, 11, 6, 9, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 16, 0, 7, 5, 2, 15, 9, 5, 5, 5, 4, 4, 4, 5, 6, 7, 3, 3, 3, 3, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 1, 7, 7, 1, 2, 8, 5, 0, 4, 4, 4, 3, 4, 5, 5, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 6, 6, 4, 4, 5, 6, 3, 12, 19, 18, 9, 2, 3, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 6, 6, 5, 3, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 6, 4, 4, 4, 3, 3, 5, 9, 12, 3, 19, 10, 2, 2, 5, 0, 10, 4, 4, 5, 5, 5, 5, 6, 6, 6, 2, 0, 2, 4, 2, 2, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 16, 30, 10, 12, 0, 18, 2, 23, 4, 6, 8, 8, 6, 5, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 6, 7, 7, 7, 6, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 7, 8, 7, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 5, 3, 4, 6, 8, 10, 7, 7, 6, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 6, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 3, 4, 5, 3, 4, 5, 5, 4, 4, 3, 3, 3, 5, 7, 7, 5, 4, 4, 6, 3, 3, 3, 4, 6, 8, 9, 9, 0, 8, 0, 5, 1, 14, 6, 0, 6, 4, 2, 3, 5, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 4, 5, 6, 4, 5, 6, 5, 3, 2, 3, 4, 7, 12, 16, 15, 10, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 5, 6, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 19, 5, 0, 49, 168, 65, 22, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 8, 7, 6, 6, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 7, 7, 6, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 10, 0, 8, 1, 0, 16, 15, 6, 0, 3, 7, 4, 1, 5, 8, 6, 6, 6, 6, 6, 6, 6, 6, 7, 5, 4, 5, 7, 8, 7, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 8, 7, 6, 6, 4, 4, 3, 2, 6, 6, 6, 7, 7, 7, 8, 8, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 6, 6, 6, 6, 5, 4, 5, 4, 3, 3, 3, 4, 5, 5, 6, 5, 4, 4, 4, 5, 6, 6, 13, 6, 3, 5, 6, 4, 5, 9, 9, 8, 6, 5, 3, 3, 3, 3, 10, 2, 5, 8, 2, 3, 11, 10, 8, 5, 3, 3, 5, 6, 6, 5, 5, 5, 4, 4, 5, 5, 6, 7, 7, 8, 3, 11, 14, 4, 5, 11, 6, 5, 4, 4, 4, 5, 6, 6, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 5, 5, 5, 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2, 8, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 7, 0, 0, 6, 9, 5, 3, 7, 7, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 4, 4, 6, 6, 5, 4, 12, 6, 1, 0, 3, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 6, 8, 9, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 9, 10, 10, 10, 9, 9, 5, 12, 17, 17, 11, 6, 5, 6, 5, 0, 7, 30, 8, 34, 173, 33, 6, 6, 5, 5, 5, 5, 4, 4, 5, 6, 5, 2, 3, 6, 4, 0, 5, 5, 4, 4, 4, 4, 5, 5, 7, 6, 6, 6, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 33, 9, 16, 18, 1, 5, 1, 7, 2, 4, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 16, 20, 19, 11, 6, 7, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 4, 5, 7, 8, 6, 3, 4, 4, 4, 5, 5, 5, 4, 3, 4, 7, 9, 8, 5, 2, 2, 3, 9, 15, 35, 11, 3, 9, 0, 0, 8, 6, 4, 4, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 8, 9, 6, 3, 4, 6, 7, 6, 4, 3, 3, 5, 3, 8, 13, 11, 5, 1, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 11, 7, 3, 2, 4, 7, 8, 7, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 11, 0, 15, 19, 6, 0, 1, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 3, 5, 6, 8, 8, 6, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 4, 4, 5, 6, 6, 5, 5, 4, 5, 5, 7, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 6, 7, 6, 5, 3, 2, 1, 12, 6, 2, 0, 0, 7, 6, 6, 16, 8, 3, 13, 8, 0, 5, 3, 4, 5, 6, 6, 5, 4, 3, 8, 6, 4, 4, 5, 5, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 6, 4, 4, 6, 8, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 3, 4, 8, 14, 16, 11, 6, 7, 6, 5, 4, 4, 4, 4, 5, 22, 20, 15, 9, 5, 4, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 8, 5, 18, 30, 20, 8, 7, 7, 4, 3, 3, 5, 7, 7, 6, 5, 4, 4, 3, 3, 3, 4, 5, 6, 10, 2, 2, 1, 5, 10, 7, 9, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 3, 3, 2, 1, 0, 2, 19, 33, 23, 2, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 7, 5, 3, 4, 6, 7, 5, 3, 10, 7, 5, 4, 5, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 2, 3, 5, 6, 7, 6, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 7, 3, 2, 6, 12, 14, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 9, 9, 9, 8, 6, 9, 13, 13, 10, 7, 6, 6, 3, 22, 2, 1, 0, 3, 77, 0, 6, 6, 6, 5, 5, 4, 4, 4, 3, 6, 5, 1, 2, 7, 5, 0, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 6, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 6, 7, 4, 4, 6, 6, 6, 6, 4, 4, 0, 24, 0, 0, 14, 6, 14, 0, 4, 5, 6, 5, 3, 3, 5, 7, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 5, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 14, 14, 6, 2, 5, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 4, 4, 5, 7, 8, 7, 5, 4, 6, 8, 9, 6, 3, 4, 3, 3, 4, 5, 5, 4, 2, 4, 7, 10, 9, 6, 4, 4, 5, 10, 11, 0, 12, 3, 9, 6, 7, 6, 5, 3, 4, 6, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 4, 6, 9, 10, 7, 4, 5, 6, 7, 6, 4, 3, 4, 5, 11, 8, 5, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 14, 9, 4, 3, 5, 9, 10, 10, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 21, 0, 8, 7, 7, 0, 21, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 8, 9, 10, 10, 3, 5, 7, 9, 9, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 5, 5, 6, 6, 4, 4, 4, 5, 6, 7, 9, 10, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 3, 3, 4, 6, 6, 5, 6, 6, 7, 6, 5, 3, 2, 14, 3, 0, 4, 15, 6, 0, 6, 17, 28, 15, 2, 8, 3, 0, 12, 2, 3, 5, 5, 5, 5, 3, 2, 11, 9, 7, 7, 7, 7, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 7, 4, 3, 6, 9, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 5, 5, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 8, 2, 0, 9, 22, 27, 18, 7, 7, 7, 5, 4, 4, 4, 4, 4, 1, 3, 3, 3, 4, 6, 5, 2, 1, 2, 3, 4, 5, 5, 5, 5, 9, 0, 7, 16, 6, 0, 6, 12, 4, 3, 3, 5, 7, 8, 6, 5, 4, 3, 3, 3, 3, 4, 5, 6, 5, 0, 14, 6, 0, 9, 5, 8, 7, 7, 5, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 6, 5, 3, 2, 3, 12, 9, 8, 38, 71, 53, 9, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 9, 8, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 7, 5, 3, 4, 6, 7, 5, 3, 0, 3, 6, 7, 6, 5, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 2, 3, 5, 6, 7, 6, 6, 5, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 8, 3, 0, 5, 14, 18, 12, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 3, 5, 6, 6, 5, 4, 5, 6, 0, 9, 9, 0, 16, 22, 0, 19, 6, 6, 6, 5, 5, 4, 4, 4, 5, 7, 6, 1, 3, 8, 8, 3, 7, 6, 6, 5, 5, 6, 6, 7, 7, 7, 7, 6, 6, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 3, 4, 6, 7, 7, 6, 4, 3, 25, 0, 10, 13, 0, 0, 8, 0, 7, 7, 7, 5, 4, 4, 6, 9, 5, 4, 2, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 7, 6, 5, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 10, 0, 14, 33, 13, 0, 5, 11, 5, 6, 7, 6, 4, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 7, 7, 7, 6, 4, 3, 4, 6, 8, 10, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 9, 9, 8, 7, 6, 7, 7, 5, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 7, 8, 10, 8, 4, 2, 1, 3, 5, 7, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 5, 3, 3, 2, 1, 7, 6, 5, 4, 5, 6, 8, 9, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 6, 5, 5, 5, 6, 6, 4, 4, 6, 7, 7, 7, 7, 7, 0, 0, 22, 52, 8, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 8, 8, 6, 2, 1, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 8, 7, 7, 6, 6, 7, 7, 8, 6, 5, 4, 4, 6, 6, 5, 4, 8, 8, 7, 6, 6, 7, 8, 8, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 7, 8, 7, 6, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 7, 7, 6, 6, 5, 5, 5, 2, 2, 3, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 7, 7, 6, 6, 5, 3, 5, 5, 8, 17, 0, 15, 6, 9, 6, 3, 2, 3, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 4, 4, 5, 5, 6, 8, 8, 8, 7, 6, 5, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 5, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7, 7, 6, 4, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 5, 3, 1, 2, 5, 8, 10, 18, 3, 0, 9, 15, 9, 2, 2, 7, 7, 8, 8, 8, 9, 9, 9, 2, 3, 3, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 0, 2, 8, 9, 7, 5, 5, 8, 11, 8, 3, 8, 17, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 0, 17, 41, 223, 72, 6, 8, 7, 6, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 5, 6, 7, 7, 8, 9, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 7, 23, 13, 3, 2, 9, 13, 12, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 5, 4, 2, 1, 4, 5, 6, 8, 8, 7, 6, 6, 7, 6, 4, 4, 4, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 8, 7, 4, 6, 10, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 3, 3, 2, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 1, 2, 4, 6, 6, 5, 6, 9, 8, 3, 3, 8, 6, 0, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 6, 6, 6, 8, 6, 3, 3, 5, 6, 5, 4, 6, 13, 5, 12, 2, 2, 14, 1, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 7, 7, 8, 2, 3, 5, 7, 8, 8, 7, 7, 3, 5, 7, 6, 4, 3, 5, 7, 2, 2, 3, 3, 4, 5, 6, 6, 2, 5, 8, 7, 3, 2, 4, 7, 6, 4, 3, 4, 5, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 3, 25, 43, 26, 9, 7, 3, 5, 6, 7, 6, 4, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 4, 3, 4, 6, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 7, 6, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 5, 6, 7, 8, 7, 5, 3, 3, 3, 5, 6, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 3, 3, 2, 6, 5, 5, 5, 5, 6, 7, 8, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 5, 4, 3, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 4, 5, 5, 4, 5, 6, 6, 7, 7, 7, 6, 6, 0, 13, 38, 5, 7, 7, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 8, 8, 6, 3, 1, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 3, 2, 2, 3, 4, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 7, 7, 6, 6, 6, 6, 7, 7, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 7, 7, 7, 6, 5, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 7, 7, 6, 11, 5, 12, 0, 8, 2, 54, 31, 13, 9, 6, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 4, 4, 4, 4, 5, 5, 6, 8, 7, 6, 5, 5, 5, 7, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 7, 6, 4, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 5, 6, 8, 40, 19, 1, 0, 0, 0, 1, 10, 5, 5, 6, 6, 6, 7, 7, 7, 2, 3, 3, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 10, 18, 21, 19, 6, 5, 8, 10, 7, 3, 7, 15, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 7, 21, 1, 0, 54, 27, 27, 8, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 5, 5, 6, 7, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 7, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 17, 10, 3, 2, 6, 9, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 7, 7, 5, 4, 3, 3, 4, 5, 7, 7, 7, 6, 5, 6, 5, 4, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 0, 0, 4, 6, 5, 6, 10, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 3, 4, 6, 7, 7, 7, 1, 5, 6, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 6, 5, 5, 5, 6, 7, 7, 7, 0, 4, 3, 7, 8, 9, 14, 12, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 5, 6, 6, 7, 2, 3, 5, 7, 8, 8, 7, 7, 3, 5, 7, 6, 4, 3, 5, 7, 4, 4, 4, 4, 5, 5, 5, 5, 1, 1, 3, 7, 11, 11, 7, 3, 7, 5, 4, 5, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 3, 3, 3, 3, 4, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 12, 7, 16, 22, 13, 8, 11, 6, 5, 6, 7, 6, 4, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 4, 4, 4, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 3, 3, 3, 4, 4, 5, 4, 5, 5, 6, 7, 6, 6, 6, 13, 0, 3, 22, 2, 7, 8, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 5, 3, 2, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 2, 3, 4, 4, 4, 4, 3, 2, 4, 3, 2, 2, 2, 2, 3, 4, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 5, 4, 3, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 4, 4, 4, 4, 8, 8, 7, 7, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 8, 9, 9, 8, 7, 7, 3, 0, 5, 25, 23, 31, 186, 84, 16, 12, 8, 6, 5, 5, 3, 2, 5, 4, 4, 4, 4, 5, 6, 7, 3, 3, 3, 3, 3, 4, 6, 6, 7, 6, 4, 3, 3, 5, 7, 9, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 8, 7, 6, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 6, 6, 4, 4, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 20, 10, 5, 7, 8, 3, 4, 9, 3, 3, 3, 4, 4, 4, 5, 5, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 3, 3, 8, 16, 19, 17, 7, 6, 8, 9, 6, 3, 6, 12, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 19, 4, 0, 0, 18, 0, 15, 1, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 3, 4, 5, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 8, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 4, 4, 4, 5, 6, 7, 9, 6, 3, 2, 3, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 8, 8, 7, 6, 6, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 11, 4, 0, 3, 6, 6, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 7, 5, 6, 7, 9, 9, 8, 3, 3, 5, 7, 4, 1, 3, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 6, 6, 6, 6, 7, 9, 5, 3, 7, 0, 7, 2, 0, 2, 8, 7, 6, 5, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 3, 4, 5, 5, 5, 3, 4, 5, 6, 7, 7, 7, 7, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 2, 3, 13, 23, 25, 15, 4, 7, 6, 5, 5, 7, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 1, 1, 8, 12, 9, 5, 6, 7, 6, 4, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 6, 3, 4, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 4, 4, 4, 4, 5, 2, 4, 5, 7, 7, 6, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 3, 4, 4, 5, 6, 4, 5, 5, 6, 6, 6, 5, 5, 13, 1, 3, 12, 2, 5, 8, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 8, 7, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 5, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 7, 7, 6, 11, 2, 26, 0, 0, 18, 57, 28, 14, 11, 8, 6, 5, 5, 3, 1, 5, 4, 4, 4, 4, 5, 6, 7, 3, 2, 2, 2, 3, 4, 6, 6, 5, 5, 4, 3, 3, 4, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 4, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 5, 5, 5, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 6, 5, 3, 2, 0, 0, 7, 17, 18, 10, 5, 6, 2, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 2, 0, 3, 8, 9, 6, 7, 7, 8, 7, 5, 3, 5, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 16, 3, 18, 12, 8, 15, 3, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 7, 2, 4, 6, 7, 7, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 6, 6, 4, 5, 5, 4, 2, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 7, 7, 7, 6, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 22, 12, 5, 5, 8, 6, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 2, 3, 3, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 6, 7, 8, 8, 9, 9, 7, 5, 5, 7, 8, 8, 7, 9, 4, 4, 7, 6, 1, 0, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 5, 4, 3, 3, 3, 5, 7, 7, 5, 4, 5, 7, 4, 0, 11, 0, 18, 14, 5, 18, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 7, 6, 5, 4, 4, 8, 4, 5, 13, 24, 26, 16, 6, 7, 6, 5, 5, 7, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 6, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 6, 7, 13, 15, 8, 1, 5, 6, 7, 6, 4, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 6, 5, 4, 4, 4, 5, 6, 6, 4, 5, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 4, 4, 4, 4, 5, 2, 3, 5, 6, 7, 6, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 6, 7, 8, 4, 5, 5, 6, 6, 5, 4, 4, 8, 3, 9, 9, 6, 1, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 4, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 9, 8, 7, 6, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 1, 0, 2, 25, 0, 10, 58, 14, 9, 7, 5, 4, 5, 5, 4, 2, 5, 4, 4, 4, 4, 5, 6, 7, 4, 3, 3, 3, 4, 4, 6, 6, 3, 4, 4, 5, 4, 3, 2, 1, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 5, 5, 5, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 5, 3, 1, 7, 6, 6, 7, 4, 1, 2, 7, 3, 3, 4, 4, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 3, 4, 8, 7, 3, 6, 7, 7, 5, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 17, 10, 14, 0, 6, 1, 12, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 3, 4, 6, 8, 8, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 6, 3, 5, 7, 6, 3, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 2, 3, 5, 5, 6, 5, 5, 3, 3, 3, 3, 4, 4, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 23, 13, 5, 5, 7, 6, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 3, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 6, 7, 8, 8, 9, 8, 6, 4, 4, 5, 6, 6, 5, 8, 2, 0, 3, 6, 4, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 7, 6, 5, 3, 2, 3, 7, 1, 10, 0, 11, 2, 5, 2, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 8, 7, 6, 4, 4, 3, 4, 2, 2, 6, 11, 12, 7, 3, 7, 5, 4, 5, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 9, 8, 6, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 10, 5, 2, 9, 9, 2, 4, 5, 6, 7, 6, 4, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 3, 4, 5, 6, 7, 6, 5, 4, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 7, 8, 9, 4, 5, 5, 5, 5, 4, 3, 3, 3, 5, 14, 6, 10, 0, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 3, 3, 5, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 5, 5, 5, 5, 6, 6, 7, 8, 8, 7, 6, 6, 4, 5, 6, 6, 6, 6, 5, 4, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 9, 8, 7, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 4, 4, 4, 4, 5, 5, 5, 5, 2, 2, 3, 3, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 5, 5, 5, 5, 4, 3, 5, 5, 17, 0, 6, 31, 0, 29, 6, 4, 3, 4, 6, 6, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 5, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 5, 3, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 6, 4, 4, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 5, 4, 3, 8, 7, 5, 2, 0, 0, 2, 5, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 5, 9, 8, 4, 4, 6, 6, 3, 3, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 20, 0, 3, 2, 11, 15, 0, 4, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 7, 6, 5, 4, 4, 4, 5, 5, 5, 6, 7, 6, 5, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 1, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 13, 5, 1, 3, 6, 5, 4, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 4, 2, 2, 3, 4, 4, 3, 3, 4, 2, 0, 2, 6, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 6, 5, 5, 6, 7, 7, 4, 1, 9, 6, 10, 0, 9, 0, 28, 0, 4, 4, 3, 4, 5, 6, 7, 8, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 4, 3, 4, 4, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 8, 8, 7, 6, 5, 4, 3, 3, 5, 5, 4, 4, 4, 5, 4, 4, 6, 4, 3, 4, 5, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 6, 5, 5, 5, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 9, 13, 0, 0, 3, 0, 0, 13, 5, 6, 7, 6, 4, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 4, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 3, 3, 2, 4, 4, 3, 3, 4, 4, 5, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 5, 6, 7, 6, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 4, 3, 2, 2, 6, 13, 0, 12, 0, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 3, 3, 5, 7, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 5, 6, 6, 5, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 5, 6, 6, 5, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 6, 5, 5, 5, 6, 7, 4, 5, 5, 5, 6, 6, 6, 7, 4, 4, 5, 5, 6, 6, 7, 7, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 8, 8, 2, 14, 5, 5, 18, 15, 6, 5, 4, 5, 7, 7, 6, 4, 5, 4, 4, 4, 4, 5, 6, 7, 9, 8, 7, 6, 5, 5, 5, 5, 7, 6, 4, 4, 5, 8, 12, 15, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 6, 4, 3, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 0, 1, 5, 7, 9, 8, 4, 1, 4, 4, 4, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 2, 1, 3, 7, 6, 2, 2, 5, 4, 1, 2, 7, 8, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 0, 19, 18, 19, 5, 1, 13, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 8, 6, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 5, 4, 4, 6, 5, 4, 4, 4, 6, 7, 8, 3, 4, 5, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 2, 2, 5, 5, 3, 4, 8, 6, 6, 7, 7, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 7, 4, 2, 2, 3, 4, 3, 2, 6, 19, 20, 7, 0, 6, 8, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 6, 3, 2, 6, 12, 14, 9, 4, 0, 4, 9, 8, 25, 25, 91, 32, 5, 5, 4, 4, 4, 5, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 6, 5, 4, 3, 3, 3, 5, 5, 7, 5, 3, 4, 6, 7, 5, 3, 6, 6, 5, 5, 4, 4, 3, 3, 8, 7, 6, 6, 7, 8, 7, 6, 5, 4, 2, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 6, 7, 8, 9, 3, 3, 3, 3, 3, 3, 3, 3, 0, 8, 4, 7, 18, 6, 0, 12, 5, 6, 7, 6, 4, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 3, 3, 2, 7, 7, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 5, 7, 7, 8, 7, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 7, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 5, 3, 3, 2, 1, 5, 4, 3, 2, 2, 4, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 5, 5, 5, 5, 4, 3, 2, 2, 4, 5, 10, 0, 13, 0, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 2, 3, 6, 7, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 1, 2, 4, 5, 5, 4, 2, 1, 4, 3, 3, 2, 2, 3, 3, 4, 6, 5, 4, 4, 6, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 5, 6, 6, 5, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 5, 6, 7, 8, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 7, 6, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 7, 7, 6, 6, 5, 0, 2, 4, 0, 5, 0, 12, 4, 8, 7, 6, 7, 8, 8, 6, 4, 5, 4, 4, 4, 4, 5, 6, 7, 11, 10, 9, 7, 6, 5, 5, 5, 10, 7, 3, 2, 5, 12, 20, 25, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 6, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 6, 5, 4, 5, 7, 5, 1, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 5, 3, 5, 8, 7, 2, 1, 4, 3, 0, 2, 8, 9, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 15, 1, 10, 0, 9, 6, 0, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 4, 4, 4, 4, 9, 6, 4, 3, 6, 7, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 5, 6, 8, 9, 4, 4, 6, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 7, 9, 7, 2, 3, 7, 6, 7, 8, 8, 8, 8, 7, 6, 6, 5, 5, 4, 4, 3, 3, 2, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 7, 5, 3, 3, 4, 4, 3, 2, 15, 37, 41, 17, 0, 5, 9, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 6, 6, 6, 6, 2, 0, 7, 16, 20, 14, 7, 2, 8, 4, 0, 6, 0, 81, 0, 8, 7, 6, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 2, 2, 3, 4, 5, 7, 5, 3, 4, 6, 7, 5, 3, 5, 5, 4, 4, 4, 3, 3, 3, 5, 3, 1, 4, 8, 9, 5, 2, 3, 3, 3, 3, 4, 4, 5, 5, 2, 3, 5, 6, 7, 6, 5, 4, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 5, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 6, 6, 7, 8, 8, 7, 5, 4, 6, 8, 9, 6, 3, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 5, 4, 3, 4, 6, 7, 6, 4, 5, 5, 5, 7, 8, 8, 6, 4, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 6, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 3, 2, 3, 5, 7, 9, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 4, 5, 6, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 0, 6, 11, 11, 7, 3, 4, 7, 3, 3, 3, 4, 6, 8, 10, 11, 9, 7, 4, 1, 0, 2, 6, 9, 6, 6, 10, 5, 0, 6, 13, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 12, 9, 7, 7, 6, 5, 5, 7, 10, 5, 2, 4, 9, 11, 9, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 1, 1, 2, 3, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 3, 3, 3, 5, 8, 10, 12, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 5, 6, 7, 8, 4, 4, 4, 5, 6, 7, 8, 9, 13, 9, 5, 2, 2, 3, 3, 2, 6, 5, 3, 2, 2, 3, 5, 6, 3, 4, 5, 6, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 7, 7, 6, 5, 4, 4, 6, 6, 5, 6, 8, 8, 6, 4, 4, 5, 5, 6, 6, 5, 5, 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5, 6, 6, 5, 6, 7, 8, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 5, 4, 3, 3, 3, 6, 5, 5, 5, 5, 6, 7, 7, 17, 13, 8, 5, 4, 3, 2, 1, 5, 5, 5, 6, 6, 5, 5, 5, 2, 4, 6, 8, 9, 8, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 5, 6, 4, 2, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 3, 5, 7, 8, 8, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 1, 7, 7, 3, 12, 25, 20, 4, 8, 8, 7, 6, 5, 4, 3, 2, 4, 6, 7, 6, 4, 3, 5, 7, 8, 9, 8, 15, 28, 21, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 8, 8, 7, 5, 3, 4, 4, 5, 7, 8, 7, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 7, 5, 4, 5, 6, 7, 6, 4, 3, 3, 4, 5, 5, 4, 3, 3, 6, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 5, 6, 5, 4, 3, 3, 4, 5, 6, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 5, 6, 7, 7, 6, 5, 6, 6, 6, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 1, 3, 5, 5, 4, 4, 5, 7, 5, 6, 6, 5, 5, 5, 7, 9, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 4, 4, 4, 5, 6, 6, 4, 5, 6, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 6, 6, 8, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 4, 3, 4, 5, 7, 7, 7, 7, 8, 8, 8, 9, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 5, 5, 5, 5, 6, 6, 8, 8, 7, 6, 6, 5, 4, 4, 3, 4, 5, 7, 7, 8, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 2, 4, 6, 6, 4, 3, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 4, 13, 9, 4, 2, 4, 8, 11, 13, 10, 8, 5, 5, 6, 6, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 6, 7, 9, 9, 6, 3, 1, 4, 9, 10, 7, 3, 4, 0, 0, 7, 14, 17, 12, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 7, 7, 1, 1, 7, 10, 6, 5, 5, 7, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 2, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 6, 5, 4, 3, 3, 3, 7, 6, 6, 5, 5, 6, 7, 7, 14, 10, 6, 3, 4, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 2, 4, 8, 11, 11, 9, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 3, 5, 6, 6, 4, 3, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 7, 5, 3, 2, 5, 6, 7, 8, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 5, 3, 9, 17, 14, 4, 8, 8, 7, 6, 5, 4, 3, 3, 3, 6, 8, 7, 4, 3, 5, 8, 6, 9, 8, 15, 25, 18, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 6, 7, 7, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 7, 6, 5, 5, 7, 8, 6, 5, 3, 4, 5, 6, 6, 5, 4, 3, 7, 6, 5, 4, 4, 4, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 6, 6, 2, 3, 3, 4, 4, 3, 3, 2, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 3, 3, 3, 2, 2, 2, 1, 3, 4, 4, 3, 2, 3, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 3, 4, 6, 7, 6, 5, 3, 4, 5, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 8, 9, 10, 8, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 6, 4, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 3, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 8, 8, 7, 6, 6, 5, 4, 4, 4, 5, 7, 8, 9, 9, 9, 8, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 2, 4, 6, 6, 4, 2, 3, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 9, 6, 4, 4, 6, 8, 9, 8, 10, 7, 5, 4, 4, 5, 4, 3, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 7, 6, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 4, 6, 6, 6, 4, 2, 6, 5, 5, 4, 4, 5, 6, 6, 5, 5, 5, 7, 9, 8, 6, 3, 18, 9, 15, 18, 0, 0, 6, 21, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 4, 4, 4, 4, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 4, 3, 11, 21, 17, 4, 5, 7, 9, 9, 8, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 4, 4, 7, 7, 6, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 7, 5, 3, 3, 4, 6, 6, 5, 5, 5, 6, 7, 7, 6, 5, 5, 2, 4, 7, 9, 9, 8, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 6, 7, 7, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 6, 7, 7, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 7, 9, 8, 6, 7, 7, 7, 6, 6, 5, 5, 4, 3, 7, 9, 8, 4, 2, 5, 9, 2, 5, 2, 6, 14, 8, 0, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 4, 4, 7, 6, 4, 5, 6, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 6, 7, 6, 4, 3, 5, 6, 8, 8, 6, 5, 3, 8, 7, 5, 4, 3, 4, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 5, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 3, 4, 5, 6, 7, 7, 6, 6, 5, 5, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 3, 3, 3, 2, 3, 5, 6, 5, 3, 2, 3, 4, 4, 4, 5, 7, 8, 8, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 3, 2, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 5, 8, 8, 6, 3, 2, 3, 4, 6, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 8, 9, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 6, 4, 2, 3, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 4, 3, 4, 5, 7, 8, 7, 6, 6, 5, 5, 4, 4, 3, 8, 8, 7, 7, 5, 5, 4, 4, 4, 5, 7, 9, 10, 10, 10, 9, 7, 6, 5, 4, 4, 4, 4, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 9, 8, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 1, 4, 7, 6, 3, 2, 3, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 3, 3, 5, 7, 7, 5, 3, 9, 6, 3, 2, 3, 3, 3, 2, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 8, 7, 5, 4, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 6, 8, 9, 8, 5, 3, 7, 6, 5, 4, 3, 2, 2, 3, 1, 5, 8, 8, 6, 4, 3, 4, 7, 0, 4, 10, 7, 8, 7, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 3, 8, 24, 36, 25, 4, 5, 8, 10, 10, 9, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 6, 8, 9, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 3, 2, 2, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 3, 2, 2, 3, 5, 4, 2, 0, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 8, 8, 6, 4, 2, 2, 3, 4, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 7, 8, 7, 5, 3, 2, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 5, 4, 7, 7, 4, 4, 9, 7, 7, 7, 6, 6, 6, 5, 5, 3, 7, 10, 8, 4, 2, 5, 9, 5, 7, 1, 2, 8, 4, 1, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 9, 7, 6, 5, 4, 4, 4, 8, 6, 4, 4, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 3, 3, 5, 5, 4, 3, 4, 5, 7, 9, 9, 7, 5, 4, 8, 7, 5, 4, 3, 4, 4, 5, 7, 7, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 5, 4, 3, 1, 2, 4, 5, 5, 4, 2, 1, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 4, 3, 4, 5, 7, 8, 7, 6, 6, 5, 5, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 5, 4, 3, 3, 4, 5, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 6, 6, 6, 5, 5, 5, 7, 7, 6, 4, 3, 3, 5, 3, 4, 5, 8, 9, 9, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 2, 2, 2, 4, 5, 5, 6, 6, 5, 5, 4, 3, 2, 3, 6, 9, 9, 6, 2, 2, 2, 4, 5, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 7, 8, 8, 6, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 6, 4, 2, 3, 4, 8, 8, 7, 6, 6, 7, 7, 8, 3, 3, 2, 3, 3, 5, 6, 7, 3, 3, 5, 6, 6, 6, 6, 6, 2, 3, 3, 4, 4, 5, 5, 6, 4, 4, 3, 5, 7, 7, 6, 4, 6, 5, 5, 5, 5, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 2, 3, 5, 7, 8, 7, 5, 4, 4, 3, 1, 2, 4, 6, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 15, 0, 9, 6, 11, 0, 8, 10, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 5, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 7, 6, 1, 1, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 7, 7, 6, 6, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 8, 7, 4, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 5, 5, 2, 4, 6, 8, 8, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 2, 2, 1, 1, 2, 4, 6, 7, 8, 8, 7, 6, 4, 2, 2, 4, 7, 7, 6, 8, 13, 18, 7, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 4, 5, 6, 5, 3, 4, 6, 8, 7, 7, 6, 6, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 9, 8, 8, 7, 6, 5, 4, 4, 5, 2, 1, 2, 6, 9, 8, 7, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 2, 2, 3, 5, 8, 8, 6, 5, 1, 2, 4, 5, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 10, 11, 9, 8, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 7, 11, 17, 17, 9, 4, 3, 1, 2, 4, 5, 7, 7, 7, 7, 3, 3, 4, 5, 7, 10, 12, 13, 4, 4, 5, 6, 5, 4, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 7, 7, 3, 4, 6, 7, 7, 6, 4, 3, 5, 4, 4, 4, 4, 5, 6, 7, 6, 9, 3, 1, 9, 7, 2, 5, 3, 4, 4, 5, 5, 4, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 0, 19, 0, 11, 0, 4, 8, 0, 3, 5, 7, 7, 4, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 2, 4, 5, 5, 4, 3, 3, 4, 5, 4, 3, 4, 6, 7, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 14, 0, 17, 0, 16, 15, 0, 0, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 6, 5, 4, 2, 2, 6, 5, 5, 4, 4, 5, 5, 6, 2, 3, 4, 4, 3, 3, 5, 7, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 5, 5, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 8, 8, 7, 6, 5, 5, 5, 5, 3, 3, 4, 4, 6, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 8, 8, 7, 5, 3, 2, 3, 4, 4, 5, 5, 4, 4, 3, 8, 7, 7, 6, 6, 5, 5, 4, 6, 6, 5, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 6, 6, 4, 3, 5, 6, 7, 7, 6, 6, 6, 7, 8, 8, 6, 5, 4, 4, 4, 4, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 3, 3, 4, 5, 5, 5, 4, 4, 4, 4, 3, 5, 7, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 4, 2, 3, 5, 7, 7, 6, 5, 4, 4, 3, 2, 4, 6, 7, 6, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 0, 16, 0, 11, 4, 2, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 5, 6, 6, 5, 5, 6, 8, 6, 5, 5, 5, 5, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 7, 7, 4, 2, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 5, 5, 5, 5, 5, 4, 2, 3, 5, 5, 4, 4, 5, 6, 1, 3, 5, 7, 9, 10, 11, 11, 4, 5, 5, 5, 5, 6, 9, 11, 6, 6, 6, 6, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 6, 2, 4, 5, 5, 4, 5, 8, 10, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 7, 6, 5, 4, 4, 3, 5, 3, 2, 3, 6, 8, 7, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 7, 10, 11, 8, 5, 1, 2, 4, 5, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 3, 5, 9, 9, 4, 2, 4, 3, 3, 4, 5, 5, 6, 7, 7, 3, 3, 4, 5, 7, 9, 11, 12, 5, 5, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 4, 4, 4, 5, 6, 7, 3, 4, 6, 7, 7, 6, 4, 3, 5, 4, 4, 4, 4, 5, 6, 7, 5, 9, 5, 3, 10, 7, 1, 5, 4, 5, 6, 6, 6, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 0, 13, 0, 13, 0, 3, 7, 2, 5, 7, 9, 8, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 3, 4, 5, 5, 5, 4, 4, 4, 6, 4, 3, 4, 6, 7, 7, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 37, 12, 2, 0, 0, 26, 0, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 7, 6, 5, 3, 2, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 4, 3, 3, 5, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 5, 6, 6, 4, 4, 5, 6, 7, 7, 8, 8, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 8, 8, 7, 5, 3, 2, 3, 4, 4, 5, 5, 4, 4, 3, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 4, 6, 7, 6, 5, 4, 5, 7, 6, 6, 5, 5, 6, 7, 8, 9, 8, 8, 6, 5, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 3, 4, 5, 6, 6, 5, 3, 2, 4, 4, 3, 5, 7, 7, 6, 4, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 3, 3, 3, 3, 2, 3, 4, 5, 6, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 5, 4, 4, 2, 3, 5, 7, 7, 6, 5, 4, 4, 4, 4, 6, 8, 8, 6, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 7, 0, 9, 0, 15, 6, 0, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 2, 4, 12, 12, 4, 2, 6, 3, 4, 6, 7, 7, 6, 4, 3, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 5, 5, 4, 4, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 4, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 8, 9, 9, 8, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 5, 6, 6, 6, 5, 1, 2, 3, 6, 9, 12, 15, 16, 7, 5, 3, 3, 4, 5, 4, 3, 4, 5, 6, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 2, 3, 5, 5, 5, 7, 10, 12, 4, 4, 5, 5, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 3, 3, 6, 5, 4, 5, 6, 7, 6, 5, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 4, 4, 4, 4, 5, 5, 8, 5, 4, 7, 12, 14, 10, 5, 2, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 2, 1, 3, 3, 1, 3, 7, 6, 6, 4, 3, 4, 4, 6, 7, 3, 3, 4, 5, 6, 8, 10, 11, 7, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 4, 4, 4, 5, 6, 7, 3, 4, 6, 7, 7, 6, 4, 3, 5, 4, 4, 4, 4, 5, 6, 7, 4, 9, 5, 4, 9, 6, 1, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 0, 9, 0, 15, 6, 3, 5, 4, 5, 7, 8, 8, 6, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 4, 5, 7, 8, 7, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 0, 14, 1, 20, 1, 7, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 8, 7, 6, 4, 2, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 5, 4, 3, 3, 5, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 6, 7, 5, 5, 6, 6, 7, 8, 8, 9, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 6, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 5, 6, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 7, 8, 7, 6, 5, 6, 8, 5, 5, 5, 5, 6, 7, 8, 9, 8, 8, 6, 6, 5, 5, 5, 6, 4, 4, 5, 6, 6, 6, 5, 4, 4, 5, 7, 7, 7, 5, 3, 1, 4, 4, 3, 5, 7, 7, 6, 4, 2, 3, 4, 4, 6, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 7, 8, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 6, 6, 6, 5, 5, 4, 5, 6, 8, 10, 9, 6, 3, 4, 4, 5, 6, 6, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 11, 0, 11, 1, 9, 0, 12, 1, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 9, 3, 7, 19, 19, 7, 3, 9, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 2, 4, 5, 5, 3, 3, 4, 5, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 5, 4, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 8, 8, 7, 5, 3, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 4, 3, 3, 2, 2, 2, 4, 5, 6, 4, 2, 5, 5, 4, 5, 6, 8, 10, 12, 8, 5, 2, 3, 5, 6, 4, 1, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 3, 5, 6, 6, 5, 6, 9, 11, 3, 3, 4, 5, 6, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 7, 7, 6, 6, 6, 6, 5, 4, 6, 6, 5, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 9, 5, 3, 7, 13, 14, 9, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 5, 6, 7, 7, 8, 7, 6, 6, 4, 4, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 5, 6, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 3, 2, 4, 5, 4, 6, 10, 9, 7, 5, 3, 2, 3, 5, 6, 4, 3, 4, 4, 5, 7, 8, 9, 8, 7, 6, 4, 4, 5, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 4, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 9, 3, 1, 7, 5, 1, 7, 5, 5, 6, 6, 6, 6, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 7, 2, 11, 9, 5, 3, 4, 3, 4, 6, 5, 3, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 3, 6, 5, 4, 5, 7, 8, 8, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 46, 0, 12, 9, 6, 0, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 6, 8, 8, 6, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 5, 3, 3, 5, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 5, 5, 5, 6, 5, 4, 4, 5, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 2, 4, 6, 8, 8, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 6, 6, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 6, 6, 7, 7, 3, 3, 3, 4, 5, 6, 8, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 7, 9, 8, 6, 6, 7, 8, 5, 5, 5, 5, 5, 6, 7, 8, 6, 5, 5, 5, 6, 6, 8, 8, 4, 5, 6, 6, 6, 5, 4, 4, 5, 6, 7, 7, 6, 5, 3, 2, 4, 4, 3, 5, 7, 7, 6, 4, 2, 3, 4, 4, 6, 6, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 8, 7, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 8, 9, 8, 5, 2, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 10, 0, 19, 23, 26, 0, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 9, 3, 7, 19, 19, 7, 3, 9, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 5, 5, 3, 2, 3, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 2, 3, 5, 8, 8, 5, 2, 7, 6, 4, 3, 3, 5, 6, 7, 7, 5, 3, 4, 7, 9, 6, 3, 3, 4, 5, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 6, 7, 7, 6, 4, 4, 6, 7, 2, 3, 3, 4, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 3, 7, 7, 8, 8, 7, 5, 4, 4, 6, 5, 4, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 3, 6, 10, 11, 7, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 7, 7, 8, 8, 7, 6, 6, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 2, 3, 5, 6, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 6, 4, 4, 8, 9, 6, 6, 10, 9, 8, 5, 3, 2, 3, 4, 6, 4, 4, 3, 3, 4, 5, 6, 7, 8, 7, 5, 4, 4, 6, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 8, 0, 0, 7, 7, 4, 8, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 3, 3, 2, 8, 7, 3, 3, 3, 4, 5, 4, 3, 3, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 4, 5, 7, 7, 5, 3, 6, 5, 4, 5, 7, 8, 7, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 13, 0, 11, 4, 0, 8, 7, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 4, 6, 7, 7, 6, 5, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 5, 4, 3, 5, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 5, 6, 6, 7, 5, 3, 4, 6, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 2, 4, 6, 8, 8, 6, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 7, 3, 3, 4, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 6, 6, 6, 3, 3, 3, 4, 5, 6, 8, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 7, 9, 8, 6, 6, 7, 8, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 5, 6, 8, 8, 5, 5, 6, 6, 6, 5, 4, 3, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 5, 7, 7, 6, 4, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 7, 7, 7, 7, 8, 4, 5, 6, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 8, 7, 4, 2, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 2, 15, 55, 28, 11, 0, 10, 6, 6, 6, 6, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 6, 7, 7, 6, 5, 4, 6, 2, 4, 12, 12, 4, 2, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 4, 5, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 8, 12, 12, 8, 3, 3, 3, 3, 3, 4, 5, 6, 7, 5, 5, 5, 7, 9, 9, 8, 7, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 5, 5, 5, 6, 7, 7, 5, 3, 2, 3, 5, 3, 3, 3, 4, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 7, 9, 9, 7, 5, 4, 5, 5, 5, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 6, 7, 7, 4, 2, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 7, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 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5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 3, 4, 5, 6, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 25, 67, 17, 15, 0, 13, 9, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 7, 6, 4, 2, 3, 4, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 7, 7, 7, 6, 5, 3, 2, 2, 3, 5, 6, 4, 3, 2, 1, 2, 4, 7, 8, 7, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 2, 3, 4, 5, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 7, 7, 5, 3, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 5, 5, 4, 4, 4, 3, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 4, 5, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 4, 4, 5, 5, 11, 9, 2, 0, 3, 0, 7, 15, 8, 6, 4, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 3, 3, 3, 6, 2, 2, 5, 6, 2, 2, 6, 3, 4, 4, 4, 4, 5, 7, 9, 19, 76, 16, 7, 0, 7, 0, 5, 5, 5, 6, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 2, 3, 3, 4, 5, 5, 6, 7, 7, 4, 5, 6, 8, 9, 10, 10, 9, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 4, 3, 4, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 6, 6, 4, 3, 3, 4, 6, 6, 4, 4, 4, 4, 6, 6, 5, 7, 10, 12, 12, 9, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 6, 6, 6, 5, 6, 6, 5, 5, 4, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 8, 5, 8, 7, 2, 10, 17, 10, 4, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 9, 9, 2, 4, 6, 5, 3, 2, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 8, 5, 2, 0, 0, 2, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 5, 5, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 25, 52, 33, 3, 10, 2, 3, 3, 3, 4, 5, 5, 5, 5, 4, 3, 6, 0, 12, 25, 16, 5, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 6, 7, 7, 6, 4, 3, 7, 6, 6, 5, 5, 6, 6, 7, 8, 7, 6, 4, 4, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 7, 6, 5, 12, 21, 12, 8, 4, 3, 3, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 5, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 9, 7, 3, 4, 8, 8, 3, 2, 3, 5, 6, 7, 6, 5, 5, 7, 5, 4, 4, 5, 5, 4, 2, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 3, 4, 5, 6, 2, 3, 5, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 10, 39, 6, 4, 0, 2, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 8, 7, 4, 1, 1, 3, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 4, 5, 6, 6, 6, 5, 3, 2, 2, 3, 5, 6, 4, 3, 2, 1, 2, 4, 7, 9, 8, 7, 5, 4, 3, 3, 4, 5, 5, 5, 7, 8, 8, 7, 5, 5, 3, 3, 5, 6, 5, 5, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 7, 7, 5, 3, 4, 4, 4, 4, 4, 5, 7, 7, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 4, 5, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 3, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 3, 3, 4, 5, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 0, 13, 10, 6, 8, 8, 0, 2, 8, 6, 4, 4, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 2, 4, 6, 8, 10, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 3, 2, 2, 4, 5, 7, 3, 3, 3, 4, 4, 5, 5, 5, 3, 2, 6, 12, 10, 3, 1, 4, 1, 4, 6, 5, 3, 3, 7, 11, 46, 248, 35, 4, 6, 2, 0, 3, 7, 7, 7, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 3, 3, 4, 4, 6, 6, 7, 7, 1, 3, 5, 5, 4, 3, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 5, 4, 3, 4, 5, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 7, 7, 6, 4, 4, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 7, 11, 13, 13, 9, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 7, 6, 6, 5, 5, 4, 4, 4, 1, 2, 4, 5, 6, 6, 5, 4, 7, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 7, 5, 0, 10, 17, 9, 5, 6, 7, 7, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 7, 8, 10, 10, 2, 4, 6, 5, 3, 2, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 10, 10, 10, 8, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 3, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 19, 0, 25, 0, 3, 12, 6, 8, 2, 3, 5, 6, 6, 5, 3, 2, 9, 2, 4, 5, 0, 4, 9, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 2, 4, 6, 8, 8, 6, 4, 2, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 6, 5, 4, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 11, 5, 2, 5, 6, 4, 3, 4, 8, 5, 3, 3, 4, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 1, 5, 10, 12, 11, 8, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 9, 7, 2, 3, 9, 8, 2, 2, 3, 5, 6, 7, 6, 6, 5, 8, 6, 5, 5, 6, 6, 4, 2, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 6, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 3, 4, 5, 6, 2, 3, 5, 6, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 0, 4, 1, 9, 18, 5, 5, 8, 8, 7, 7, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 3, 3, 4, 5, 7, 8, 3, 3, 3, 4, 5, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 5, 6, 6, 7, 7, 6, 6, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 3, 2, 2, 4, 7, 9, 8, 7, 6, 5, 4, 4, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 5, 4, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 3, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 7, 6, 6, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 5, 6, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 5, 7, 7, 4, 5, 6, 6, 4, 4, 5, 6, 3, 5, 6, 5, 3, 3, 6, 9, 34, 60, 37, 3, 10, 13, 2, 7, 6, 0, 0, 6, 0, 0, 7, 10, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 2, 5, 13, 19, 13, 2, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 8, 10, 9, 6, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 3, 2, 1, 1, 5, 4, 4, 3, 3, 4, 4, 5, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 2, 3, 5, 6, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 9, 8, 2, 2, 8, 9, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 6, 8, 9, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 5, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 10, 5, 3, 6, 7, 5, 5, 8, 6, 1, 1, 6, 6, 3, 5, 12, 6, 5, 5, 4, 4, 5, 5, 6, 4, 3, 2, 1, 2, 6, 9, 11, 2, 25, 0, 6, 1, 4, 0, 0, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 4, 4, 2, 1, 2, 6, 12, 16, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 9, 12, 12, 9, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 9, 6, 3, 2, 3, 5, 6, 6, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 9, 8, 4, 1, 2, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 6, 7, 8, 8, 7, 5, 4, 3, 3, 4, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 5, 7, 7, 6, 5, 5, 6, 6, 6, 6, 5, 4, 3, 2, 2, 2, 4, 7, 8, 7, 6, 7, 7, 6, 5, 5, 4, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 16, 17, 14, 8, 5, 6, 6, 2, 6, 6, 6, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 9, 9, 7, 6, 8, 10, 5, 5, 4, 4, 5, 7, 9, 10, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 7, 11, 5, 1, 9, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 7, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 4, 4, 4, 5, 6, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 5, 5, 3, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 7, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 8, 7, 6, 5, 4, 4, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 5, 5, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 4, 4, 5, 6, 8, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 4, 5, 6, 6, 4, 4, 5, 6, 3, 5, 6, 5, 4, 3, 6, 8, 0, 13, 2, 0, 16, 11, 5, 26, 6, 0, 2, 10, 5, 4, 8, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 5, 11, 15, 10, 1, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 7, 9, 8, 6, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 3, 3, 2, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 3, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 4, 6, 7, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 4, 4, 4, 5, 5, 5, 3, 7, 7, 3, 3, 7, 7, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 9, 10, 9, 7, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 6, 6, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 7, 8, 7, 4, 3, 3, 0, 8, 9, 0, 0, 5, 12, 12, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 4, 4, 5, 4, 4, 4, 30, 0, 14, 20, 0, 15, 18, 8, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 3, 3, 2, 2, 3, 5, 9, 12, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 8, 10, 10, 8, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 6, 5, 5, 4, 4, 5, 5, 6, 7, 4, 2, 2, 4, 6, 6, 6, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 7, 4, 2, 3, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 7, 7, 6, 5, 4, 3, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 7, 7, 6, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 4, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 11, 12, 10, 5, 4, 6, 6, 3, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 7, 7, 5, 4, 6, 8, 4, 3, 3, 3, 4, 5, 7, 8, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 9, 8, 6, 5, 3, 0, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 7, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 8, 8, 6, 5, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 2, 3, 4, 4, 2, 1, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 3, 3, 3, 7, 7, 6, 6, 6, 5, 5, 5, 2, 3, 4, 5, 5, 4, 3, 2, 5, 5, 6, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 8, 8, 6, 4, 3, 1, 2, 4, 5, 6, 5, 4, 3, 8, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 6, 7, 8, 9, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 4, 5, 6, 6, 4, 4, 5, 6, 3, 4, 6, 6, 4, 4, 6, 7, 7, 12, 9, 10, 7, 0, 26, 97, 22, 10, 8, 11, 5, 4, 6, 0, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 8, 7, 6, 7, 9, 6, 0, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 2, 4, 7, 7, 5, 4, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 5, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 5, 7, 8, 7, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 4, 5, 5, 5, 5, 2, 6, 7, 5, 5, 7, 6, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 10, 10, 10, 9, 7, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 5, 4, 4, 5, 7, 6, 6, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 7, 8, 7, 6, 8, 8, 6, 10, 0, 1, 14, 20, 11, 2, 0, 6, 5, 5, 4, 4, 5, 5, 6, 5, 7, 9, 10, 9, 6, 2, 0, 42, 50, 13, 4, 27, 11, 0, 17, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 2, 2, 3, 3, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 2, 2, 3, 5, 6, 6, 4, 5, 5, 5, 4, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 7, 6, 4, 3, 4, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 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4, 4, 5, 5, 6, 6, 6, 0, 3, 6, 6, 5, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 7, 8, 7, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 8, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 8, 13, 18, 7, 6, 5, 4, 4, 4, 5, 6, 5, 5, 4, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 6, 7, 5, 3, 5, 10, 12, 10, 25, 12, 2, 2, 2, 0, 5, 14, 6, 5, 5, 4, 4, 5, 5, 6, 8, 10, 13, 14, 13, 9, 5, 3, 36, 80, 6, 7, 4, 2, 13, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 3, 3, 5, 6, 8, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 2, 1, 2, 3, 6, 6, 5, 3, 8, 7, 7, 6, 5, 4, 3, 3, 4, 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14, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 5, 8, 4, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 0, 3, 6, 6, 5, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 6, 6, 7, 7, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 4, 4, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 5, 6, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 3, 5, 12, 21, 28, 8, 7, 5, 3, 3, 3, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 6, 5, 4, 4, 4, 4, 8, 12, 8, 24, 27, 9, 0, 0, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 9, 9, 10, 11, 10, 10, 9, 8, 49, 132, 47, 5, 0, 32, 0, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 5, 5, 6, 9, 11, 10, 6, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 2, 2, 4, 6, 7, 5, 3, 10, 9, 9, 8, 6, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 8, 7, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 8, 11, 9, 5, 3, 6, 10, 9, 7, 5, 3, 2, 3, 5, 6, 6, 6, 6, 8, 10, 11, 10, 8, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 4, 4, 6, 6, 2, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 13, 10, 7, 4, 4, 4, 5, 6, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 0, 8, 8, 0, 17, 28, 0, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 5, 8, 12, 16, 19, 7, 6, 4, 3, 3, 4, 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5, 7, 7, 5, 3, 6, 5, 6, 9, 13, 12, 7, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 4, 4, 6, 6, 5, 4, 9, 9, 8, 8, 7, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 6, 3, 3, 4, 5, 6, 5, 3, 3, 4, 4, 4, 4, 5, 5, 4, 3, 3, 3, 4, 5, 6, 7, 9, 8, 6, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 8, 7, 4, 3, 5, 8, 8, 7, 5, 4, 3, 4, 5, 5, 5, 5, 5, 8, 11, 12, 11, 10, 7, 7, 6, 5, 5, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 8, 9, 9, 8, 8, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 10, 10, 6, 5, 6, 5, 1, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 10, 7, 5, 6, 7, 6, 5, 5, 6, 6, 7, 7, 7, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 3, 8, 7, 0, 10, 15, 0, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 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4, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 3, 3, 6, 9, 9, 5, 2, 11, 13, 17, 12, 0, 0, 5, 6, 7, 5, 8, 7, 1, 9, 14, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 3, 4, 7, 7, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 7, 9, 8, 6, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 6, 5, 5, 5, 5, 6, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 6, 7, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 3, 2, 6, 12, 12, 6, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 6, 7, 9, 14, 17, 10, 8, 5, 2, 2, 2, 4, 6, 5, 6, 7, 7, 7, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 2, 8, 15, 10, 23, 84, 152, 227, 139, 52, 18, 12, 7, 11, 23, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 3, 4, 4, 5, 5, 0, 13, 22, 2, 0, 25, 10, 8, 7, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 6, 4, 4, 8, 12, 13, 8, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 3, 3, 3, 2, 6, 5, 5, 4, 4, 5, 5, 6, 11, 8, 5, 4, 5, 6, 6, 5, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 11, 7, 3, 2, 4, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 6, 8, 9, 10, 9, 6, 4, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 6, 9, 9, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 3, 3, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 8, 8, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 9, 6, 5, 7, 5, 1, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 10, 7, 5, 5, 7, 7, 5, 3, 4, 5, 6, 7, 7, 6, 5, 4, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 10, 8, 5, 2, 1, 3, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 8, 9, 9, 8, 7, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 4, 4, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 3, 3, 2, 2, 2, 2, 7, 6, 6, 5, 5, 6, 6, 7, 6, 7, 9, 10, 9, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 6, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 9, 8, 8, 7, 8, 6, 3, 2, 2, 4, 7, 9, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 8, 9, 5, 5, 4, 4, 5, 7, 9, 10, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 5, 5, 5, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 4, 3, 3, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 5, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 4, 3, 3, 6, 9, 9, 5, 2, 10, 0, 1, 6, 5, 9, 10, 1, 6, 3, 4, 2, 0, 18, 37, 36, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 10, 10, 7, 3, 4, 7, 5, 1, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 8, 10, 9, 6, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 5, 5, 5, 6, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 5, 7, 8, 7, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 4, 5, 12, 21, 21, 12, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 6, 8, 10, 12, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 6, 7, 7, 6, 5, 6, 11, 8, 5, 2, 1, 2, 4, 6, 6, 6, 7, 8, 8, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 8, 3, 8, 15, 14, 46, 148, 254, 255, 242, 160, 50, 4, 23, 24, 0, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 6, 6, 5, 4, 3, 4, 7, 5, 13, 29, 0, 11, 0, 7, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 5, 2, 2, 6, 11, 12, 8, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 14, 11, 6, 5, 5, 6, 6, 6, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 12, 8, 3, 2, 3, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 7, 9, 10, 11, 9, 6, 4, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 2, 3, 5, 5, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 6, 5, 4, 5, 6, 6, 4, 2, 3, 3, 4, 5, 5, 6, 7, 7, 4, 3, 3, 2, 2, 3, 3, 4, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 6, 7, 5, 5, 7, 6, 2, 6, 6, 6, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 5, 7, 7, 4, 1, 3, 4, 5, 6, 5, 4, 3, 2, 7, 7, 7, 6, 6, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 7, 5, 7, 10, 2, 0, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 3, 2, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 6, 8, 9, 9, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 5, 5, 4, 3, 3, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 4, 5, 7, 8, 7, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 5, 6, 7, 7, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 8, 7, 7, 6, 6, 5, 5, 5, 7, 5, 4, 3, 2, 3, 4, 5, 3, 3, 4, 5, 6, 6, 6, 6, 11, 9, 7, 4, 3, 4, 5, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 5, 6, 1, 3, 5, 6, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 0, 14, 9, 0, 15, 7, 0, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 1, 0, 13, 0, 14, 18, 28, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 8, 9, 5, 5, 9, 8, 3, 4, 5, 6, 6, 4, 4, 5, 6, 10, 7, 4, 5, 8, 9, 8, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 9, 8, 7, 5, 3, 1, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 4, 0, 5, 14, 20, 21, 16, 7, 1, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 17, 8, 3, 6, 23, 53, 255, 237, 249, 241, 254, 40, 23, 9, 5, 19, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 7, 9, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 7, 6, 6, 5, 5, 5, 6, 2, 1, 5, 7, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 64, 31, 1, 0, 2, 4, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 3, 2, 3, 5, 7, 9, 2, 4, 6, 6, 4, 3, 3, 4, 4, 6, 7, 7, 5, 5, 6, 8, 3, 7, 8, 4, 3, 5, 6, 4, 4, 4, 4, 4, 3, 2, 1, 0, 5, 4, 3, 3, 4, 5, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 3, 2, 3, 5, 7, 9, 5, 4, 4, 3, 3, 4, 4, 5, 2, 3, 5, 6, 7, 6, 5, 4, 7, 7, 7, 7, 7, 6, 5, 4, 0, 2, 6, 9, 9, 7, 4, 2, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 4, 4, 4, 3, 3, 3, 8, 6, 5, 5, 5, 5, 4, 2, 6, 5, 4, 4, 6, 6, 5, 4, 6, 5, 4, 3, 4, 5, 7, 8, 4, 8, 12, 10, 5, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 5, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 8, 8, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 7, 7, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 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4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 5, 4, 3, 3, 4, 6, 8, 5, 5, 4, 4, 4, 4, 5, 5, 3, 4, 5, 6, 7, 6, 5, 5, 4, 5, 5, 5, 4, 4, 3, 2, 7, 7, 7, 6, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 5, 4, 4, 4, 3, 7, 5, 4, 4, 6, 6, 5, 3, 6, 5, 4, 4, 6, 6, 5, 4, 5, 4, 4, 4, 5, 5, 6, 7, 6, 10, 13, 11, 6, 3, 4, 7, 7, 6, 6, 5, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 7, 7, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 3, 2, 2, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 6, 6, 4, 5, 6, 7, 7, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 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5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 21, 0, 15, 34, 121, 224, 251, 233, 120, 38, 9, 4, 20, 14, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 8, 3, 1, 4, 6, 4, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 0, 0, 1, 10, 10, 2, 0, 3, 8, 8, 7, 6, 4, 3, 2, 2, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 6, 8, 8, 6, 5, 6, 7, 3, 4, 5, 5, 3, 2, 3, 5, 4, 4, 3, 1, 5, 10, 8, 3, 8, 7, 6, 5, 5, 6, 8, 9, 7, 6, 5, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 5, 3, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 4, 3, 2, 14, 12, 8, 4, 2, 2, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 6, 5, 5, 5, 4, 6, 4, 3, 4, 6, 7, 6, 4, 6, 5, 4, 4, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 6, 5, 5, 8, 10, 9, 5, 3, 4, 6, 8, 8, 7, 6, 4, 3, 2, 2, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 4, 4, 4, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 5, 5, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 4, 3, 5, 5, 6, 7, 8, 9, 9, 10, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 9, 10, 10, 8, 5, 3, 4, 5, 7, 9, 9, 7, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 6, 6, 6, 6, 5, 4, 3, 3, 4, 3, 2, 2, 2, 3, 4, 5, 7, 7, 7, 6, 6, 6, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 8, 9, 10, 9, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 0, 13, 33, 45, 10, 6, 6, 7, 2, 7, 7, 2, 2, 7, 7, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 9, 8, 0, 36, 14, 3, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 3, 3, 5, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 5, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 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11, 7, 6, 6, 5, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 5, 4, 4, 4, 4, 5, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 14, 12, 8, 5, 3, 4, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 3, 3, 4, 6, 7, 7, 5, 6, 5, 4, 4, 6, 6, 5, 4, 2, 3, 5, 6, 7, 6, 5, 4, 2, 4, 6, 5, 2, 0, 1, 3, 7, 6, 6, 5, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 3, 3, 5, 8, 11, 13, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 3, 4, 4, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 4, 5, 6, 7, 8, 9, 10, 10, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 7, 9, 11, 11, 8, 5, 3, 4, 5, 7, 9, 9, 7, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 6, 6, 6, 6, 5, 4, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 7, 7, 7, 6, 6, 6, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 2, 3, 4, 4, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 8, 10, 11, 9, 7, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 11, 18, 97, 255, 39, 25, 0, 18, 0, 2, 5, 5, 5, 5, 2, 0, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 10, 9, 2, 40, 19, 7, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 6, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 2, 0, 12, 8, 12, 16, 22, 31, 22, 7, 16, 26, 6, 4, 0, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 10, 18, 20, 14, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 14, 9, 5, 4, 2, 1, 4, 8, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 5, 4, 4, 5, 6, 6, 3, 4, 5, 6, 6, 6, 6, 5, 2, 4, 6, 6, 4, 3, 4, 5, 6, 7, 8, 7, 5, 4, 4, 6, 7, 7, 4, 4, 9, 15, 13, 6, 6, 5, 4, 3, 3, 5, 8, 10, 6, 6, 6, 6, 5, 4, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 5, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 5, 5, 6, 6, 5, 6, 6, 7, 7, 7, 6, 6, 9, 8, 8, 7, 7, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 3, 3, 4, 6, 7, 7, 5, 6, 5, 4, 4, 6, 6, 5, 4, 2, 3, 5, 6, 7, 6, 5, 4, 3, 3, 4, 3, 2, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 3, 3, 4, 7, 10, 14, 17, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 3, 4, 4, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 2, 3, 4, 5, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 3, 3, 2, 2, 3, 4, 5, 6, 6, 7, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 5, 6, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 7, 9, 10, 9, 7, 5, 4, 4, 5, 6, 7, 7, 6, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 6, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 7, 6, 6, 6, 5, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 7, 9, 10, 9, 6, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 27, 106, 254, 61, 35, 0, 14, 4, 3, 10, 20, 20, 10, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7, 10, 6, 5, 27, 16, 4, 7, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 4, 2, 3, 6, 6, 3, 2, 4, 4, 5, 6, 6, 4, 4, 5, 6, 4, 5, 5, 4, 2, 2, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 3, 3, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 3, 4, 4, 4, 4, 3, 2, 2, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 4, 18, 4, 5, 25, 2, 23, 1, 9, 0, 10, 0, 6, 17, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 14, 8, 5, 7, 7, 4, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 9, 7, 5, 5, 5, 5, 3, 3, 2, 2, 3, 4, 6, 7, 8, 8, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 2, 4, 6, 5, 4, 3, 3, 4, 7, 8, 9, 7, 5, 4, 4, 6, 7, 8, 6, 5, 9, 13, 12, 6, 5, 4, 3, 3, 3, 4, 5, 6, 5, 5, 6, 6, 6, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 2, 3, 4, 5, 5, 5, 4, 4, 3, 5, 7, 8, 8, 8, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 6, 5, 5, 5, 4, 6, 4, 3, 4, 6, 7, 6, 4, 6, 5, 4, 4, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 6, 5, 6, 6, 5, 4, 4, 5, 5, 6, 2, 2, 3, 4, 6, 7, 8, 8, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 10, 13, 15, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 2, 3, 3, 4, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 6, 7, 8, 7, 6, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 7, 8, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 4, 3, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 3, 2, 1, 6, 5, 5, 5, 4, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 5, 7, 8, 7, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 3, 2, 2, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 22, 32, 38, 14, 3, 1, 13, 8, 3, 13, 34, 34, 13, 3, 8, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 9, 6, 0, 9, 9, 11, 3, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 2, 5, 10, 10, 5, 2, 4, 4, 5, 6, 6, 4, 4, 5, 6, 4, 5, 6, 5, 3, 2, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 3, 4, 4, 4, 3, 3, 1, 1, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 8, 8, 6, 0, 14, 4, 12, 4, 11, 10, 10, 0, 5, 2, 3, 3, 4, 5, 5, 6, 7, 7, 3, 3, 4, 4, 4, 4, 3, 3, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 12, 5, 0, 1, 1, 0, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 5, 8, 7, 6, 4, 3, 1, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 4, 3, 4, 5, 7, 8, 3, 5, 6, 6, 5, 4, 4, 5, 6, 7, 8, 6, 4, 3, 3, 4, 5, 8, 8, 5, 5, 9, 9, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 4, 5, 6, 7, 2, 3, 4, 4, 5, 5, 5, 4, 3, 4, 5, 6, 7, 7, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 5, 4, 4, 4, 3, 7, 5, 4, 4, 6, 6, 5, 3, 6, 5, 4, 4, 6, 6, 5, 4, 5, 4, 4, 4, 5, 5, 6, 7, 7, 6, 4, 4, 5, 6, 7, 7, 3, 4, 4, 5, 5, 6, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 14, 12, 9, 6, 4, 4, 4, 5, 7, 7, 6, 6, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 3, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 3, 3, 2, 2, 3, 3, 4, 4, 3, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 5, 6, 7, 7, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 8, 5, 6, 7, 8, 7, 6, 5, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 5, 5, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 6, 7, 8, 8, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 4, 6, 7, 7, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 3, 2, 2, 2, 4, 4, 4, 5, 5, 6, 6, 6, 13, 7, 11, 12, 13, 9, 9, 0, 4, 0, 9, 37, 37, 9, 0, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 9, 2, 0, 12, 0, 11, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 8, 15, 15, 8, 4, 6, 4, 5, 6, 6, 4, 4, 5, 6, 4, 6, 7, 6, 3, 2, 5, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 1, 2, 3, 5, 7, 9, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 7, 7, 8, 8, 9, 6, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 2, 6, 0, 19, 8, 0, 9, 7, 10, 0, 11, 3, 0, 15, 0, 2, 2, 3, 4, 6, 7, 8, 8, 2, 2, 3, 4, 4, 3, 2, 2, 4, 5, 7, 9, 9, 7, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 8, 7, 3, 3, 9, 12, 10, 10, 12, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 9, 11, 7, 2, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 6, 5, 3, 2, 3, 5, 7, 9, 4, 6, 8, 8, 6, 5, 5, 6, 5, 6, 7, 5, 3, 1, 2, 3, 3, 7, 8, 4, 3, 5, 6, 4, 6, 6, 6, 6, 5, 4, 3, 2, 2, 3, 5, 6, 7, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 4, 3, 4, 5, 7, 8, 4, 5, 6, 7, 7, 7, 7, 7, 5, 5, 5, 4, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 4, 4, 4, 3, 3, 3, 8, 6, 5, 5, 5, 5, 4, 2, 6, 5, 4, 4, 6, 6, 5, 4, 6, 5, 4, 3, 4, 5, 7, 8, 6, 4, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 5, 4, 3, 1, 0, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 5, 6, 7, 7, 7, 7, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 4, 4, 4, 6, 7, 9, 11, 12, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 4, 5, 6, 8, 9, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 6, 7, 8, 9, 9, 10, 8, 6, 2, 0, 4, 9, 8, 2, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 8, 7, 7, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 2, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 7, 7, 5, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 7, 7, 6, 4, 3, 1, 5, 5, 1, 1, 5, 5, 1, 2, 4, 6, 5, 5, 4, 6, 8, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 7, 8, 8, 6, 4, 3, 8, 7, 5, 4, 3, 4, 4, 5, 5, 6, 8, 9, 8, 6, 4, 3, 9, 2, 0, 5, 8, 6, 4, 5, 3, 4, 4, 4, 4, 4, 4, 5, 6, 5, 4, 5, 7, 8, 8, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 3, 2, 2, 3, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 9, 8, 7, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 6, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 9, 8, 7, 7, 8, 8, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 3, 3, 3, 12, 13, 43, 40, 7, 9, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 6, 6, 7, 7, 7, 8, 7, 5, 4, 3, 4, 5, 5, 10, 6, 2, 3, 8, 10, 7, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 9, 11, 12, 9, 5, 2, 3, 5, 6, 6, 6, 6, 6, 5, 3, 3, 6, 4, 3, 3, 5, 5, 4, 2, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 0, 5, 5, 1, 1, 5, 5, 0, 7, 6, 4, 3, 3, 4, 6, 7, 5, 4, 3, 3, 4, 4, 1, 0, 7, 2, 0, 2, 1, 0, 2, 9, 7, 7, 7, 6, 6, 5, 5, 5, 8, 7, 7, 6, 6, 5, 5, 4, 6, 16, 20, 13, 8, 7, 7, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 5, 7, 7, 5, 6, 7, 7, 6, 5, 3, 2, 4, 4, 4, 3, 2, 4, 8, 11, 6, 5, 3, 2, 3, 5, 7, 9, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 7, 9, 9, 7, 5, 3, 5, 6, 6, 7, 7, 6, 6, 5, 4, 5, 6, 6, 4, 4, 4, 5, 12, 11, 9, 7, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 3, 3, 2, 2, 5, 5, 5, 4, 4, 3, 3, 3, 4, 2, 3, 7, 7, 3, 2, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 3, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 4, 4, 4, 6, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 4, 5, 6, 7, 7, 7, 5, 6, 4, 2, 4, 9, 9, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 5, 4, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 2, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 4, 4, 4, 4, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 7, 6, 5, 5, 2, 6, 6, 2, 2, 6, 6, 2, 3, 4, 6, 6, 4, 4, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 6, 6, 5, 4, 8, 7, 5, 4, 3, 4, 5, 5, 5, 6, 7, 8, 8, 6, 4, 3, 4, 3, 2, 3, 5, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 5, 7, 8, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 3, 3, 3, 3, 5, 5, 6, 7, 8, 8, 8, 8, 7, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 8, 8, 7, 6, 5, 5, 4, 4, 6, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 8, 7, 6, 7, 8, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 10, 9, 32, 29, 3, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 6, 5, 3, 3, 3, 4, 5, 9, 5, 3, 3, 6, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 8, 10, 11, 9, 5, 3, 4, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 4, 3, 3, 5, 5, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 7, 6, 2, 2, 6, 7, 3, 6, 6, 4, 4, 4, 4, 6, 6, 5, 4, 4, 6, 7, 6, 4, 1, 7, 2, 2, 5, 6, 5, 9, 16, 7, 7, 6, 6, 6, 5, 5, 5, 7, 6, 6, 6, 6, 6, 5, 5, 5, 12, 16, 10, 5, 5, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 4, 4, 5, 9, 12, 7, 6, 5, 4, 4, 6, 8, 10, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 3, 4, 5, 5, 4, 3, 4, 4, 10, 9, 8, 6, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 2, 2, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 7, 12, 12, 7, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 5, 4, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 1, 2, 2, 3, 4, 4, 5, 5, 0, 4, 5, 3, 2, 4, 5, 3, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 6, 7, 8, 8, 7, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 7, 6, 5, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 5, 6, 6, 6, 6, 6, 4, 6, 6, 2, 2, 6, 6, 4, 3, 5, 6, 6, 4, 4, 5, 7, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 6, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 5, 6, 7, 8, 7, 6, 4, 3, 5, 11, 10, 3, 1, 7, 9, 6, 6, 5, 5, 4, 4, 3, 3, 2, 6, 5, 4, 5, 7, 7, 7, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 7, 8, 8, 9, 9, 8, 8, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 7, 6, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 7, 6, 5, 6, 7, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 3, 5, 6, 8, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 6, 6, 5, 4, 3, 6, 7, 3, 18, 16, 0, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 6, 5, 4, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 2, 2, 3, 3, 4, 5, 7, 8, 9, 8, 6, 5, 5, 7, 5, 5, 6, 6, 6, 5, 4, 3, 5, 4, 3, 4, 5, 6, 5, 3, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 8, 7, 4, 4, 7, 8, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 8, 10, 9, 7, 4, 7, 4, 3, 6, 8, 8, 11, 15, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 3, 8, 10, 6, 3, 3, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 4, 4, 4, 5, 6, 6, 5, 6, 6, 5, 5, 6, 9, 12, 8, 7, 6, 5, 5, 7, 8, 9, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 3, 3, 4, 5, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 7, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 2, 2, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 9, 14, 14, 9, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 4, 5, 6, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 7, 7, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 2, 2, 2, 3, 3, 4, 4, 4, 0, 8, 12, 8, 4, 4, 5, 4, 7, 5, 4, 3, 3, 4, 5, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 7, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 3, 3, 4, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 6, 5, 4, 3, 10, 20, 19, 5, 0, 7, 9, 2, 7, 6, 5, 5, 3, 3, 2, 1, 6, 5, 4, 4, 6, 7, 6, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 2, 4, 6, 8, 8, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 6, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 5, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 5, 8, 11, 12, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 6, 5, 4, 4, 7, 4, 2, 9, 8, 0, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 6, 5, 3, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 6, 6, 7, 6, 6, 6, 6, 7, 4, 5, 6, 6, 6, 5, 4, 4, 5, 4, 3, 4, 6, 7, 6, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 7, 7, 6, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 9, 11, 10, 7, 4, 7, 5, 4, 5, 6, 6, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 3, 6, 6, 4, 2, 3, 5, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 5, 6, 6, 5, 4, 3, 3, 4, 5, 7, 8, 5, 6, 6, 5, 4, 5, 7, 10, 7, 6, 5, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 6, 7, 7, 5, 4, 5, 4, 4, 3, 3, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 3, 2, 5, 10, 10, 5, 2, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 9, 8, 7, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 7, 7, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 8, 16, 20, 15, 8, 6, 7, 7, 7, 6, 5, 3, 3, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 7, 7, 6, 5, 5, 5, 7, 7, 7, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 8, 8, 6, 5, 4, 3, 3, 2, 3, 3, 3, 5, 5, 3, 3, 3, 4, 6, 7, 6, 4, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 3, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 8, 19, 18, 4, 0, 6, 7, 0, 7, 6, 5, 5, 3, 3, 2, 1, 6, 5, 4, 4, 6, 6, 5, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 3, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 2, 4, 6, 8, 8, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 6, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 5, 8, 11, 12, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 6, 3, 6, 5, 5, 5, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 6, 6, 7, 7, 3, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 3, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 7, 8, 5, 5, 5, 5, 6, 7, 7, 6, 4, 4, 5, 6, 6, 6, 5, 4, 5, 4, 3, 4, 6, 7, 7, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 6, 7, 7, 6, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 7, 9, 9, 6, 4, 5, 4, 3, 3, 6, 7, 5, 2, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 8, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 5, 4, 3, 3, 4, 5, 7, 8, 3, 4, 5, 4, 3, 3, 5, 7, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 5, 3, 3, 5, 7, 9, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 8, 10, 11, 8, 5, 4, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 2, 1, 4, 4, 1, 2, 5, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 8, 8, 7, 7, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 16, 14, 11, 7, 5, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 2, 2, 2, 2, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 13, 16, 10, 4, 3, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 10, 9, 8, 7, 6, 5, 4, 4, 7, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 4, 4, 4, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 9, 8, 6, 5, 4, 3, 3, 3, 3, 2, 4, 8, 8, 4, 2, 3, 5, 6, 7, 6, 4, 3, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 4, 3, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 1, 7, 8, 2, 1, 6, 6, 2, 6, 5, 5, 4, 4, 3, 3, 2, 6, 5, 4, 4, 5, 5, 4, 2, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 8, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 3, 2, 3, 5, 6, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 7, 3, 10, 4, 5, 12, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 5, 5, 6, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 6, 6, 6, 7, 7, 7, 3, 4, 5, 6, 6, 6, 5, 5, 7, 6, 6, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 6, 7, 8, 9, 6, 5, 4, 5, 6, 7, 6, 5, 3, 4, 5, 6, 6, 6, 5, 5, 5, 4, 3, 4, 7, 8, 7, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 6, 10, 10, 6, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 4, 6, 6, 5, 3, 2, 3, 4, 5, 9, 14, 11, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 4, 4, 7, 7, 5, 5, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 2, 3, 5, 4, 3, 2, 3, 5, 4, 4, 4, 3, 3, 3, 2, 2, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 4, 5, 7, 8, 5, 6, 7, 7, 7, 7, 6, 5, 6, 5, 6, 9, 13, 13, 9, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 8, 4, 2, 4, 4, 2, 4, 8, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 15, 13, 10, 6, 4, 3, 3, 3, 6, 6, 4, 4, 4, 4, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 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2, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 6, 8, 9, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 8, 3, 13, 1, 3, 16, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 4, 5, 6, 7, 8, 8, 7, 6, 10, 7, 5, 5, 8, 10, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 7, 8, 7, 5, 3, 4, 6, 7, 5, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 3, 5, 7, 9, 8, 7, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 8, 14, 14, 8, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 7, 5, 3, 2, 4, 5, 5, 4, 2, 5, 5, 6, 11, 16, 13, 4, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 4, 4, 4, 4, 4, 3, 6, 3, 3, 8, 9, 4, 2, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 4, 4, 2, 4, 6, 5, 4, 3, 3, 4, 5, 5, 5, 5, 4, 3, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 5, 5, 5, 5, 7, 7, 4, 5, 6, 6, 6, 6, 5, 4, 6, 4, 5, 9, 13, 14, 9, 4, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 7, 4, 3, 6, 6, 3, 4, 7, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 4, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 6, 5, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 9, 7, 5, 4, 4, 5, 7, 8, 7, 6, 4, 3, 3, 4, 6, 7, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 10, 9, 8, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 7, 8, 8, 7, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 6, 9, 8, 4, 4, 7, 10, 9, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 4, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 7, 7, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 2, 3, 4, 6, 9, 10, 5, 4, 10, 18, 18, 10, 4, 5, 5, 6, 7, 6, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 6, 5, 4, 2, 1, 2, 3, 5, 6, 7, 6, 6, 5, 6, 5, 4, 3, 3, 3, 3, 4, 8, 3, 4, 11, 14, 9, 5, 3, 3, 4, 4, 4, 4, 4, 4, 5, 7, 5, 3, 3, 4, 5, 3, 1, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 5, 6, 6, 5, 3, 2, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 4, 6, 7, 8, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 6, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 7, 9, 10, 8, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 6, 6, 6, 6, 6, 10, 3, 14, 0, 1, 17, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 7, 8, 9, 9, 8, 7, 12, 8, 4, 5, 10, 12, 9, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 5, 3, 4, 6, 7, 4, 2, 3, 3, 5, 6, 6, 6, 6, 6, 5, 4, 3, 5, 7, 9, 8, 7, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 10, 18, 18, 10, 4, 5, 3, 4, 6, 7, 7, 6, 4, 3, 10, 7, 3, 2, 3, 4, 5, 5, 5, 7, 7, 6, 10, 14, 9, 0, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 3, 3, 2, 6, 2, 2, 8, 9, 3, 0, 2, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 5, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 3, 2, 3, 5, 7, 7, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 5, 3, 3, 8, 13, 14, 9, 3, 7, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 1, 3, 7, 7, 3, 1, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 9, 8, 8, 7, 7, 6, 6, 6, 5, 6, 8, 7, 5, 3, 3, 4, 0, 7, 9, 4, 2, 5, 4, 0, 5, 23, 30, 16, 2, 0, 3, 3, 4, 4, 5, 6, 7, 8, 8, 9, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 5, 4, 3, 2, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 7, 6, 6, 5, 5, 4, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 6, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 4, 3, 3, 3, 3, 3, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 5, 5, 5, 4, 3, 2, 3, 3, 3, 4, 4, 5, 5, 5, 9, 8, 7, 6, 5, 5, 5, 5, 9, 8, 6, 5, 4, 5, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 5, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 6, 2, 10, 9, 0, 4, 5, 5, 5, 5, 4, 3, 2, 5, 2, 3, 7, 7, 4, 4, 7, 2, 6, 9, 8, 5, 3, 3, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 3, 3, 3, 4, 5, 6, 8, 9, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 4, 3, 4, 8, 11, 11, 10, 4, 4, 4, 4, 4, 4, 3, 3, 10, 9, 7, 5, 4, 4, 5, 5, 10, 5, 14, 7, 2, 12, 7, 0, 1, 4, 5, 4, 2, 2, 5, 8, 4, 4, 4, 4, 5, 6, 7, 7, 4, 6, 5, 3, 4, 8, 7, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 7, 7, 6, 6, 5, 2, 3, 5, 7, 6, 5, 3, 1, 4, 4, 5, 6, 7, 8, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 3, 4, 6, 7, 6, 5, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 0, 6, 8, 4, 2, 6, 6, 2, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 3, 5, 6, 5, 4, 1, 2, 4, 6, 7, 7, 7, 6, 4, 4, 4, 4, 4, 5, 7, 7, 8, 7, 5, 4, 3, 3, 4, 5, 7, 5, 2, 2, 5, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 3, 5, 8, 8, 5, 1, 7, 8, 9, 9, 9, 9, 8, 7, 10, 5, 0, 1, 6, 9, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 5, 5, 5, 8, 3, 6, 7, 2, 5, 9, 1, 9, 9, 8, 8, 7, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 8, 7, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 10, 9, 8, 7, 7, 8, 9, 10, 7, 5, 3, 1, 1, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 6, 3, 1, 1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 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3, 4, 4, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 8, 6, 4, 5, 5, 6, 4, 2, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 31, 12, 0, 0, 8, 10, 5, 3, 4, 4, 4, 4, 4, 4, 3, 3, 7, 5, 3, 3, 4, 4, 3, 1, 4, 3, 3, 3, 4, 6, 8, 9, 7, 7, 5, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 5, 7, 8, 2, 3, 5, 7, 8, 7, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 6, 7, 5, 2, 2, 5, 9, 5, 6, 7, 7, 7, 7, 6, 5, 1, 2, 7, 15, 21, 19, 9, 0, 5, 5, 5, 5, 5, 5, 5, 5, 10, 9, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 2, 7, 9, 0, 4, 36, 25, 1, 12, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 3, 3, 4, 4, 6, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 3, 3, 3, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 2, 2, 2, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 9, 10, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 5, 5, 4, 3, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 7, 8, 5, 2, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 5, 8, 8, 8, 6, 4, 4, 5, 6, 6, 4, 4, 5, 6, 9, 6, 4, 4, 5, 5, 4, 3, 7, 0, 10, 5, 26, 12, 14, 15, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 7, 6, 4, 3, 3, 4, 6, 7, 9, 7, 5, 4, 4, 5, 7, 9, 7, 6, 4, 3, 2, 3, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 5, 4, 3, 4, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 4, 4, 4, 4, 6, 7, 4, 4, 4, 4, 5, 6, 7, 7, 8, 8, 7, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 3, 3, 4, 6, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 6, 6, 7, 7, 8, 5, 4, 7, 6, 3, 2, 5, 2, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 3, 3, 9, 11, 8, 7, 10, 8, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 7, 9, 7, 3, 5, 11, 3, 4, 4, 5, 5, 6, 6, 7, 9, 8, 6, 5, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 21, 12, 3, 0, 2, 6, 7, 6, 5, 7, 8, 7, 5, 3, 2, 3, 8, 4, 1, 3, 7, 9, 6, 2, 5, 4, 4, 3, 3, 4, 4, 5, 0, 15, 2, 7, 8, 3, 16, 1, 3, 12, 0, 15, 0, 3, 0, 4, 6, 5, 5, 4, 4, 5, 5, 6, 2, 3, 5, 7, 8, 7, 5, 4, 3, 3, 5, 6, 6, 6, 6, 6, 2, 3, 4, 5, 6, 7, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 3, 2, 18, 21, 183, 32, 15, 0, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 9, 7, 6, 7, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 5, 4, 4, 5, 7, 8, 6, 5, 3, 2, 2, 3, 5, 6, 2, 3, 5, 7, 8, 7, 5, 4, 5, 5, 5, 5, 6, 7, 8, 8, 11, 0, 15, 6, 1, 0, 23, 3, 8, 11, 7, 0, 4, 13, 11, 0, 9, 9, 8, 7, 5, 4, 3, 3, 4, 7, 8, 7, 5, 4, 6, 8, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 9, 12, 13, 11, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 3, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 7, 9, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 3, 3, 4, 6, 6, 5, 7, 6, 4, 4, 4, 4, 6, 7, 13, 10, 6, 2, 0, 1, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 6, 7, 4, 2, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 9, 8, 6, 5, 4, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 2, 2, 1, 1, 1, 4, 5, 6, 6, 4, 4, 5, 6, 8, 6, 4, 4, 5, 6, 5, 4, 3, 16, 3, 29, 22, 159, 39, 0, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 4, 4, 4, 4, 6, 6, 8, 6, 5, 3, 3, 5, 6, 8, 6, 5, 4, 3, 2, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 5, 4, 3, 3, 4, 5, 6, 5, 5, 4, 4, 4, 5, 6, 6, 8, 7, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 6, 5, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 7, 4, 4, 7, 6, 3, 3, 6, 5, 5, 5, 6, 6, 7, 7, 7, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 1, 1, 5, 5, 0, 0, 1, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 1, 0, 4, 5, 4, 6, 11, 4, 4, 5, 5, 5, 5, 6, 6, 8, 7, 6, 4, 4, 4, 5, 6, 4, 5, 5, 5, 5, 5, 5, 6, 15, 9, 4, 3, 5, 7, 6, 3, 5, 6, 6, 5, 3, 3, 4, 6, 8, 4, 2, 3, 7, 8, 6, 2, 5, 4, 4, 4, 4, 4, 4, 5, 2, 10, 0, 5, 8, 3, 12, 0, 8, 5, 2, 3, 9, 5, 9, 5, 6, 5, 5, 4, 4, 5, 5, 6, 2, 3, 5, 7, 7, 6, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 3, 3, 4, 4, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 3, 13, 0, 13, 66, 0, 6, 9, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 3, 4, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 4, 3, 3, 4, 5, 6, 5, 5, 3, 3, 3, 3, 5, 5, 2, 3, 5, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 0, 10, 3, 4, 0, 15, 1, 1, 5, 5, 4, 12, 25, 26, 17, 7, 6, 6, 5, 4, 4, 3, 3, 3, 5, 7, 6, 4, 3, 4, 6, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 8, 10, 10, 9, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 8, 9, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 3, 3, 4, 6, 6, 5, 6, 5, 4, 3, 3, 4, 5, 6, 11, 9, 5, 3, 2, 2, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 4, 4, 4, 3, 1, 5, 5, 4, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 11, 10, 8, 6, 5, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 3, 3, 4, 6, 7, 4, 5, 6, 6, 4, 4, 5, 6, 7, 5, 3, 4, 6, 7, 7, 6, 4, 4, 0, 11, 9, 114, 23, 0, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 3, 3, 4, 5, 6, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 7, 7, 6, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 7, 7, 8, 8, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 2, 2, 3, 3, 3, 4, 4, 4, 7, 6, 5, 6, 8, 8, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 6, 3, 3, 6, 7, 4, 4, 7, 5, 5, 6, 6, 6, 7, 7, 7, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 6, 5, 1, 0, 1, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 7, 6, 5, 3, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 6, 6, 7, 2, 0, 2, 4, 4, 5, 9, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 5, 4, 5, 8, 8, 4, 0, 4, 5, 5, 3, 2, 3, 6, 8, 7, 4, 2, 3, 7, 8, 6, 3, 5, 4, 4, 4, 4, 4, 4, 5, 7, 6, 0, 6, 10, 3, 7, 0, 6, 0, 10, 0, 12, 1, 12, 7, 6, 5, 5, 4, 4, 5, 5, 6, 2, 3, 5, 7, 7, 6, 5, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 0, 14, 0, 18, 0, 0, 10, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 3, 3, 3, 3, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 2, 3, 5, 7, 7, 6, 5, 4, 4, 3, 3, 3, 3, 4, 5, 5, 5, 0, 6, 0, 8, 2, 8, 3, 2, 5, 5, 3, 9, 18, 18, 11, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 3, 2, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 5, 6, 6, 5, 4, 4, 3, 3, 3, 3, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 2, 2, 4, 4, 4, 4, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 5, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 6, 8, 11, 12, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 3, 4, 6, 8, 8, 7, 8, 6, 9, 5, 11, 0, 13, 16, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 6, 5, 4, 4, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 7, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 8, 8, 9, 3, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 6, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 2, 3, 6, 7, 4, 5, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 5, 2, 3, 5, 6, 6, 4, 5, 6, 6, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 7, 6, 4, 3, 3, 3, 2, 3, 4, 4, 6, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 8, 6, 5, 7, 5, 1, 2, 7, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 3, 3, 3, 5, 7, 7, 4, 1, 3, 5, 6, 5, 3, 3, 4, 6, 7, 5, 3, 4, 6, 7, 5, 3, 4, 5, 5, 5, 5, 5, 5, 4, 8, 4, 1, 9, 10, 4, 5, 5, 1, 0, 16, 3, 8, 5, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 6, 8, 10, 13, 3, 22, 0, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 6, 9, 6, 1, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 7, 6, 2, 0, 10, 5, 3, 8, 5, 7, 6, 2, 4, 8, 5, 0, 3, 3, 4, 4, 5, 5, 5, 6, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 4, 5, 6, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 4, 5, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 3, 2, 2, 3, 4, 4, 4, 4, 4, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 7, 5, 4, 4, 7, 8, 8, 7, 0, 16, 6, 12, 3, 2, 11, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 8, 8, 9, 5, 5, 5, 6, 6, 6, 7, 7, 5, 4, 3, 4, 6, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 2, 3, 6, 7, 4, 5, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 6, 6, 7, 7, 7, 0, 3, 5, 4, 2, 2, 3, 4, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 4, 5, 7, 8, 2, 3, 4, 4, 6, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 2, 4, 8, 10, 5, 0, 1, 8, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 3, 2, 3, 4, 5, 5, 4, 3, 6, 8, 8, 6, 4, 3, 3, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 2, 7, 8, 7, 5, 3, 9, 6, 1, 6, 10, 12, 33, 7, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 5, 5, 6, 6, 6, 6, 4, 5, 6, 6, 6, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 10, 7, 0, 0, 23, 5, 13, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 2, 1, 5, 10, 6, 0, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 6, 6, 6, 6, 7, 6, 6, 5, 5, 5, 6, 6, 8, 7, 0, 3, 6, 4, 0, 10, 4, 6, 7, 6, 8, 11, 10, 6, 4, 4, 5, 5, 6, 7, 7, 8, 6, 6, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 6, 7, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 4, 3, 3, 6, 8, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 2, 2, 3, 3, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 10, 10, 9, 8, 7, 5, 3, 2, 4, 5, 6, 6, 4, 4, 5, 6, 8, 6, 4, 5, 7, 8, 8, 7, 5, 0, 8, 0, 0, 22, 0, 0, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 5, 5, 6, 6, 7, 7, 3, 3, 4, 4, 4, 4, 3, 3, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 3, 4, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 6, 7, 7, 7, 8, 8, 4, 3, 3, 4, 5, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 3, 3, 6, 7, 4, 4, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 2, 2, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 7, 8, 8, 9, 5, 11, 12, 8, 3, 3, 3, 2, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 16, 14, 11, 8, 6, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 1, 2, 5, 8, 4, 0, 2, 9, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 4, 5, 6, 4, 7, 9, 9, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 1, 0, 10, 3, 4, 12, 5, 8, 16, 0, 0, 8, 19, 58, 13, 1, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 0, 16, 0, 3, 13, 9, 0, 14, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 7, 7, 6, 11, 18, 13, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 7, 7, 7, 7, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 6, 6, 5, 5, 6, 6, 5, 3, 0, 13, 2, 2, 0, 7, 4, 6, 8, 9, 9, 9, 8, 6, 5, 5, 5, 6, 7, 7, 7, 8, 7, 6, 5, 5, 7, 8, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 7, 7, 4, 4, 4, 3, 3, 3, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 5, 5, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 3, 4, 8, 12, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 3, 3, 5, 8, 10, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 18, 16, 13, 9, 7, 6, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 10, 8, 6, 5, 7, 8, 7, 6, 24, 0, 19, 0, 11, 4, 2, 16, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 6, 5, 4, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 7, 6, 5, 4, 3, 3, 3, 4, 5, 6, 8, 8, 9, 3, 4, 5, 6, 6, 5, 4, 3, 5, 5, 4, 4, 4, 5, 6, 6, 4, 3, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 5, 4, 4, 5, 6, 6, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 4, 7, 6, 3, 3, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 2, 2, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 7, 8, 8, 7, 14, 17, 10, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 24, 21, 16, 11, 7, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 6, 7, 8, 17, 9, 4, 5, 6, 5, 5, 7, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 5, 7, 7, 7, 6, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 4, 3, 3, 4, 5, 6, 6, 7, 6, 6, 8, 12, 16, 4, 5, 6, 5, 5, 4, 5, 6, 4, 5, 7, 8, 8, 7, 5, 4, 5, 2, 12, 0, 7, 28, 13, 7, 16, 0, 9, 0, 14, 43, 10, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 5, 5, 6, 7, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 6, 7, 7, 8, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 0, 17, 7, 17, 5, 16, 0, 9, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 8, 15, 23, 18, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 7, 7, 6, 5, 4, 3, 3, 5, 5, 5, 5, 3, 3, 5, 4, 4, 4, 5, 5, 6, 7, 7, 7, 6, 5, 4, 4, 5, 5, 4, 0, 8, 31, 4, 5, 2, 4, 5, 6, 7, 8, 6, 2, 0, 0, 5, 5, 5, 5, 5, 6, 6, 6, 7, 5, 3, 4, 6, 7, 6, 4, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 6, 6, 7, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 5, 2, 3, 4, 5, 6, 6, 5, 4, 3, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 5, 6, 7, 7, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 6, 4, 5, 10, 15, 7, 7, 6, 5, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 11, 9, 6, 4, 4, 7, 11, 14, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 8, 8, 6, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 15, 12, 7, 3, 2, 3, 6, 8, 4, 5, 6, 6, 4, 4, 5, 6, 11, 8, 6, 6, 7, 7, 6, 5, 0, 23, 0, 14, 5, 3, 18, 0, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 5, 6, 5, 4, 2, 1, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 7, 6, 5, 3, 2, 2, 3, 4, 5, 7, 8, 9, 10, 4, 4, 6, 7, 7, 6, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 8, 8, 6, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 4, 7, 6, 3, 2, 5, 5, 5, 5, 4, 4, 3, 3, 2, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 3, 3, 2, 2, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 6, 6, 7, 7, 0, 8, 12, 6, 1, 3, 6, 5, 4, 4, 4, 3, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 4, 2, 2, 3, 5, 7, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 7, 8, 39, 21, 6, 4, 9, 10, 7, 3, 3, 4, 4, 5, 5, 6, 6, 7, 3, 4, 6, 7, 8, 8, 7, 6, 8, 8, 7, 6, 4, 3, 2, 2, 4, 6, 7, 7, 5, 4, 3, 4, 7, 6, 4, 2, 4, 9, 18, 24, 4, 5, 6, 6, 4, 4, 5, 6, 4, 5, 7, 8, 8, 7, 5, 4, 12, 7, 14, 0, 13, 43, 22, 7, 9, 0, 33, 0, 1, 9, 0, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 5, 3, 3, 5, 5, 6, 7, 8, 9, 9, 10, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 12, 10, 11, 0, 0, 15, 15, 10, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 4, 2, 9, 18, 13, 0, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 5, 6, 6, 5, 3, 2, 2, 3, 5, 6, 6, 5, 3, 2, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 4, 3, 3, 3, 3, 3, 5, 0, 17, 47, 9, 10, 7, 4, 1, 2, 5, 8, 8, 5, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 3, 2, 3, 5, 6, 4, 2, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 7, 9, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 5, 2, 4, 4, 6, 7, 7, 6, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 6, 4, 3, 4, 6, 7, 5, 5, 5, 5, 4, 3, 2, 2, 2, 3, 3, 4, 4, 3, 3, 2, 3, 4, 5, 6, 6, 6, 6, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 4, 3, 4, 5, 5, 3, 3, 3, 3, 4, 4, 5, 6, 7, 3, 0, 2, 8, 10, 7, 3, 8, 7, 5, 4, 4, 5, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 2, 2, 3, 4, 4, 5, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 6, 6, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 4, 5, 7, 6, 6, 5, 5, 6, 6, 7, 3, 3, 5, 6, 6, 6, 6, 6, 4, 4, 5, 7, 7, 7, 7, 7, 3, 5, 4, 6, 8, 0, 0, 8, 8, 1, 0, 4, 7, 6, 3, 2, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 3, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 5, 3, 2, 2, 5, 7, 8, 8, 10, 9, 8, 7, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 6, 5, 3, 2, 3, 3, 3, 4, 5, 6, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 2, 5, 6, 4, 2, 5, 13, 20, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 10, 9, 8, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 6, 6, 5, 5, 7, 9, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 6, 10, 14, 16, 15, 13, 16, 11, 5, 2, 4, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 0, 4, 0, 16, 3, 16, 0, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 7, 4, 6, 10, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 0, 1, 3, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 9, 16, 14, 7, 3, 3, 5, 5, 3, 2, 2, 3, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 4, 4, 2, 1, 2, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 2, 3, 5, 5, 1, 2, 6, 5, 6, 7, 7, 6, 5, 3, 2, 5, 5, 5, 6, 6, 7, 7, 7, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 3, 4, 4, 5, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 2, 2, 3, 4, 4, 3, 3, 2, 9, 8, 6, 4, 4, 5, 6, 7, 4, 4, 5, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 6, 5, 3, 3, 3, 4, 5, 4, 5, 7, 8, 8, 7, 6, 5, 6, 3, 1, 3, 6, 8, 6, 4, 8, 7, 5, 4, 4, 5, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 4, 5, 6, 5, 4, 4, 4, 4, 5, 6, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 6, 7, 7, 7, 6, 6, 5, 10, 4, 0, 9, 10, 4, 5, 5, 3, 4, 8, 7, 3, 2, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 2, 3, 6, 7, 7, 7, 8, 7, 6, 6, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 3, 4, 3, 3, 4, 5, 6, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 4, 6, 7, 5, 2, 3, 9, 15, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 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4, 4, 4, 4, 5, 6, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 6, 8, 5, 4, 12, 21, 6, 6, 6, 6, 5, 5, 4, 3, 5, 5, 5, 6, 6, 7, 7, 7, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 4, 4, 4, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 2, 9, 8, 6, 4, 4, 5, 6, 7, 3, 4, 4, 5, 5, 5, 5, 4, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 3, 3, 3, 3, 3, 3, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 2, 3, 3, 4, 6, 8, 11, 13, 12, 10, 7, 5, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 8, 9, 9, 8, 6, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 7, 7, 6, 5, 4, 8, 8, 7, 7, 6, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 4, 5, 5, 4, 3, 3, 3, 3, 4, 5, 3, 4, 5, 6, 6, 6, 5, 5, 5, 6, 6, 7, 6, 6, 5, 4, 4, 14, 7, 0, 8, 15, 5, 0, 2, 2, 5, 8, 5, 1, 2, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 5, 7, 8, 7, 5, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 5, 7, 8, 6, 2, 1, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 4, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 2, 3, 5, 4, 3, 3, 4, 6, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 4, 4, 4, 4, 5, 5, 7, 5, 3, 2, 4, 4, 4, 2, 16, 13, 10, 8, 7, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 7, 0, 9, 5, 6, 12, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 12, 13, 7, 3, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 8, 7, 5, 5, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 8, 3, 3, 8, 11, 8, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 7, 9, 9, 9, 9, 11, 13, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 6, 8, 9, 10, 4, 4, 4, 5, 5, 6, 6, 6, 3, 5, 9, 9, 4, 4, 14, 27, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 3, 8, 7, 6, 5, 5, 5, 6, 6, 2, 3, 4, 5, 6, 6, 6, 6, 7, 6, 5, 4, 4, 5, 6, 7, 3, 3, 3, 3, 4, 5, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 4, 5, 5, 6, 3, 3, 3, 3, 2, 3, 3, 3, 10, 11, 12, 12, 11, 10, 8, 7, 2, 4, 5, 4, 3, 2, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 2, 4, 6, 8, 8, 6, 4, 2, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 7, 9, 9, 7, 5, 4, 7, 7, 6, 6, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 6, 4, 3, 4, 6, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 6, 6, 5, 4, 6, 6, 6, 6, 6, 5, 4, 3, 1, 12, 9, 3, 6, 5, 1, 5, 9, 4, 2, 4, 4, 2, 3, 7, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 5, 4, 4, 3, 3, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 3, 3, 3, 4, 4, 5, 5, 6, 3, 3, 4, 6, 8, 8, 6, 3, 3, 3, 3, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 3, 5, 7, 6, 3, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 5, 2, 2, 2, 2, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 2, 4, 6, 6, 4, 3, 4, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 4, 3, 3, 4, 5, 5, 10, 7, 4, 3, 4, 5, 5, 5, 9, 8, 7, 6, 5, 4, 2, 0, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 26, 14, 6, 9, 7, 24, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 13, 16, 10, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 10, 8, 5, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 6, 16, 21, 15, 4, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 4, 6, 7, 7, 6, 6, 8, 9, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 8, 8, 4, 1, 6, 15, 7, 6, 4, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 6, 6, 6, 7, 8, 7, 6, 6, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 3, 3, 3, 4, 6, 8, 10, 11, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 2, 2, 3, 3, 3, 3, 3, 3, 12, 11, 9, 7, 7, 7, 8, 9, 3, 5, 6, 5, 3, 3, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 2, 4, 6, 8, 8, 6, 4, 2, 5, 5, 6, 6, 6, 6, 6, 6, 4, 5, 7, 9, 9, 7, 5, 4, 3, 3, 4, 4, 5, 5, 5, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 4, 5, 6, 6, 6, 5, 4, 4, 6, 6, 6, 6, 5, 4, 3, 2, 2, 7, 7, 7, 4, 0, 14, 48, 27, 14, 3, 2, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 6, 6, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 2, 3, 4, 5, 7, 8, 9, 10, 4, 3, 4, 6, 8, 7, 5, 3, 3, 3, 2, 3, 3, 4, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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4, 2, 4, 6, 5, 5, 4, 6, 8, 21, 208, 13, 4, 45, 2, 0, 9, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 6, 7, 7, 7, 6, 6, 5, 4, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 6, 6, 4, 6, 8, 6, 2, 1, 2, 5, 8, 7, 6, 5, 4, 4, 5, 5, 8, 7, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 0, 11, 12, 8, 13, 21, 18, 3, 5, 5, 5, 4, 3, 3, 2, 2, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 6, 4, 3, 4, 5, 1, 13, 14, 28, 7, 11, 3, 6, 3, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 8, 7, 7, 7, 7, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 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4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 6, 8, 11, 13, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 4, 5, 7, 10, 12, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 4, 6, 6, 5, 3, 4, 5, 6, 5, 5, 10, 14, 4, 0, 12, 37, 19, 11, 5, 5, 6, 6, 7, 10, 12, 4, 0, 2, 4, 3, 5, 9, 7, 7, 6, 5, 4, 4, 4, 4, 6, 5, 5, 5, 6, 7, 8, 8, 5, 5, 5, 6, 6, 5, 5, 5, 3, 4, 4, 5, 6, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 6, 4, 3, 3, 5, 6, 5, 3, 3, 3, 3, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 5, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 10, 28, 9, 20, 0, 15, 20, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 3, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 8, 9, 8, 4, 2, 4, 6, 6, 6, 6, 6, 6, 7, 8, 8, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 17, 0, 4, 2, 37, 72, 32, 7, 6, 5, 5, 4, 4, 3, 3, 2, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 7, 5, 3, 3, 4, 7, 8, 2, 3, 2, 15, 0, 33, 4, 4, 4, 4, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 8, 8, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 1, 4, 6, 6, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 7, 10, 8, 4, 5, 6, 6, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 5, 7, 9, 10, 9, 7, 6, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 3, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 3, 5, 7, 6, 5, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 4, 4, 4, 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4, 4, 3, 3, 4, 4, 5, 4, 5, 6, 7, 7, 6, 5, 4, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 6, 7, 8, 8, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 2, 4, 6, 6, 5, 4, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 7, 5, 6, 6, 7, 8, 7, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 2, 3, 5, 7, 9, 9, 8, 8, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 7, 8, 9, 9, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 7, 6, 5, 4, 4, 3, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 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6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 1, 4, 5, 3, 3, 5, 4, 1, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 14, 2, 12, 7, 25, 64, 25, 8, 6, 3, 3, 6, 8, 8, 6, 5, 5, 3, 1, 1, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 5, 6, 5, 4, 4, 4, 5, 6, 7, 7, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 4, 8, 6, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 8, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 9, 7, 6, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 9, 7, 4, 3, 4, 5, 4, 5, 6, 7, 7, 6, 5, 4, 9, 8, 7, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 6, 7, 7, 5, 4, 4, 3, 3, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 3, 16, 2, 6, 4, 4, 4, 2, 2, 3, 3, 4, 4, 5, 5, 5, 4, 3, 3, 5, 7, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 7, 6, 4, 4, 6, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 7, 6, 6, 6, 6, 6, 5, 5, 7, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 26, 0, 0, 40, 28, 42, 38, 7, 6, 5, 4, 3, 3, 4, 5, 24, 40, 5, 5, 7, 0, 17, 9, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 3, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 5, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 5, 5, 3, 3, 4, 5, 6, 7, 8, 8, 6, 6, 6, 6, 7, 7, 7, 7, 4, 5, 6, 4, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 11, 5, 0, 13, 7, 0, 8, 0, 6, 6, 6, 5, 5, 4, 4, 4, 19, 16, 11, 6, 4, 4, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 8, 8, 7, 6, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 10, 24, 26, 15, 5, 3, 7, 6, 6, 5, 5, 6, 6, 7, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 6, 5, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 7, 7, 6, 6, 6, 6, 6, 7, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 3, 5, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 0, 3, 5, 4, 4, 6, 4, 0, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 0, 6, 0, 3, 0, 10, 41, 8, 7, 4, 2, 5, 8, 9, 5, 0, 4, 5, 6, 6, 4, 4, 7, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 7, 7, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 0, 5, 7, 9, 9, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 10, 9, 8, 6, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 8, 7, 6, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 4, 3, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 6, 5, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 0, 21, 0, 0, 10, 0, 7, 0, 1, 1, 2, 3, 5, 6, 7, 7, 5, 4, 4, 5, 7, 8, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 6, 6, 5, 5, 6, 8, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 26, 3, 6, 94, 227, 45, 8, 8, 6, 5, 5, 5, 5, 5, 68, 74, 32, 16, 9, 0, 11, 5, 5, 6, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 6, 7, 7, 8, 8, 9, 6, 6, 5, 4, 3, 3, 5, 6, 6, 5, 5, 6, 7, 8, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 11, 1, 0, 4, 10, 7, 2, 13, 6, 6, 6, 5, 5, 4, 4, 4, 12, 10, 7, 4, 2, 3, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 8, 8, 7, 7, 6, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 1, 3, 9, 10, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 5, 4, 3, 3, 4, 5, 6, 7, 7, 8, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 8, 8, 5, 4, 6, 5, 2, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 2, 10, 6, 12, 6, 8, 20, 0, 6, 5, 7, 10, 9, 4, 0, 0, 6, 5, 7, 11, 11, 9, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 0, 7, 6, 7, 2, 3, 12, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 13, 11, 9, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 7, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 6, 6, 5, 5, 5, 6, 8, 7, 6, 6, 4, 4, 3, 2, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 9, 8, 11, 0, 11, 0, 6, 0, 1, 1, 2, 3, 4, 5, 5, 6, 6, 5, 5, 6, 7, 8, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 4, 4, 4, 5, 3, 4, 6, 7, 7, 6, 4, 3, 2, 4, 6, 8, 8, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 5, 6, 7, 7, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 6, 6, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 11, 0, 8, 2, 20, 52, 157, 34, 7, 7, 7, 7, 7, 7, 7, 8, 27, 37, 12, 5, 6, 0, 9, 7, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 7, 5, 3, 3, 4, 5, 5, 3, 2, 1, 3, 6, 7, 5, 2, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 7, 0, 5, 10, 0, 12, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 5, 5, 4, 3, 3, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 5, 5, 4, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 7, 6, 6, 5, 3, 5, 9, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 6, 5, 4, 4, 2, 3, 3, 4, 5, 6, 7, 7, 5, 5, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 6, 6, 5, 5, 3, 4, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 14, 15, 12, 6, 4, 7, 8, 6, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 0, 7, 7, 12, 10, 10, 14, 0, 6, 6, 9, 9, 4, 2, 11, 24, 23, 11, 3, 6, 9, 7, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 6, 4, 3, 5, 7, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 11, 4, 5, 0, 0, 19, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 13, 11, 9, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 6, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 3, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 6, 6, 8, 8, 8, 7, 6, 6, 4, 4, 3, 2, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 6, 5, 4, 4, 4, 5, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 5, 6, 6, 24, 0, 22, 8, 5, 2, 3, 0, 3, 3, 2, 2, 2, 2, 2, 2, 7, 6, 5, 6, 8, 8, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 2, 4, 6, 8, 8, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 5, 6, 7, 7, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 17, 10, 0, 0, 32, 0, 7, 11, 4, 5, 6, 7, 8, 9, 10, 10, 0, 12, 1, 0, 6, 3, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 2, 2, 3, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 6, 6, 7, 7, 7, 7, 11, 8, 4, 3, 3, 5, 5, 5, 7, 5, 5, 8, 12, 12, 9, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 0, 6, 10, 1, 6, 11, 0, 3, 6, 6, 6, 5, 5, 4, 4, 4, 1, 3, 5, 8, 8, 7, 6, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 3, 3, 4, 5, 6, 6, 6, 5, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 6, 3, 3, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 6, 6, 4, 4, 4, 4, 3, 3, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 7, 6, 6, 6, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 17, 17, 12, 5, 4, 8, 10, 9, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 1, 0, 0, 1, 2, 3, 6, 4, 5, 4, 0, 5, 28, 54, 48, 25, 6, 3, 6, 6, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 8, 7, 3, 2, 4, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 0, 9, 1, 9, 4, 17, 48, 16, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 10, 9, 8, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 3, 5, 6, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 5, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 5, 6, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 7, 6, 5, 4, 3, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 5, 6, 8, 8, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 5, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 9, 0, 13, 6, 0, 3, 7, 4, 4, 4, 4, 3, 3, 2, 2, 2, 8, 7, 6, 7, 8, 8, 6, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 6, 8, 9, 8, 7, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 6, 7, 7, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 27, 11, 0, 23, 23, 0, 3, 4, 6, 7, 9, 9, 9, 9, 16, 22, 13, 4, 6, 4, 0, 1, 5, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 5, 5, 5, 5, 13, 9, 4, 2, 4, 5, 6, 5, 9, 7, 7, 11, 16, 17, 13, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 5, 10, 9, 6, 8, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 3, 3, 5, 6, 7, 8, 7, 6, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 7, 6, 3, 2, 2, 2, 5, 5, 7, 7, 7, 7, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 6, 6, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 5, 5, 5, 4, 6, 7, 8, 9, 9, 9, 9, 8, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 7, 7, 7, 6, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 10, 11, 9, 4, 3, 8, 10, 8, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 13, 12, 10, 5, 7, 5, 0, 9, 6, 2, 3, 6, 3, 5, 25, 48, 45, 24, 7, 6, 7, 5, 6, 12, 5, 5, 5, 5, 5, 5, 5, 5, 2, 6, 8, 7, 3, 2, 4, 8, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 0, 7, 0, 13, 10, 27, 62, 20, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 3, 4, 6, 8, 8, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 5, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 2, 3, 5, 6, 5, 3, 7, 6, 5, 4, 4, 5, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 9, 8, 7, 6, 5, 4, 4, 4, 4, 3, 3, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 0, 48, 8, 1, 5, 0, 13, 7, 5, 5, 5, 5, 5, 5, 6, 6, 8, 7, 7, 7, 8, 8, 6, 4, 7, 7, 7, 7, 7, 7, 7, 7, 8, 6, 4, 6, 8, 10, 8, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 7, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 0, 14, 1, 5, 10, 0, 11, 5, 6, 7, 8, 8, 7, 6, 5, 0, 3, 1, 0, 1, 7, 2, 9, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 5, 5, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 5, 4, 4, 3, 2, 2, 6, 6, 6, 5, 5, 4, 4, 3, 14, 9, 4, 2, 4, 6, 6, 5, 4, 2, 2, 6, 11, 12, 8, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 12, 6, 0, 12, 4, 0, 7, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 5, 4, 3, 4, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 8, 9, 8, 6, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 1, 3, 8, 11, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 6, 6, 6, 5, 3, 3, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 2, 2, 2, 6, 7, 8, 8, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 5, 5, 4, 4, 8, 9, 10, 11, 11, 11, 11, 11, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 3, 3, 5, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 1, 4, 5, 3, 4, 8, 9, 6, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 0, 2, 7, 6, 11, 7, 0, 7, 5, 2, 6, 13, 9, 2, 7, 20, 18, 6, 1, 6, 7, 0, 0, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 6, 9, 7, 3, 1, 4, 8, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 11, 0, 10, 2, 13, 44, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 2, 4, 6, 8, 9, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 5, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 3, 1, 3, 5, 7, 5, 2, 8, 7, 5, 5, 5, 5, 7, 8, 4, 4, 4, 4, 5, 6, 7, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 3, 3, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 9, 8, 7, 6, 5, 4, 4, 4, 4, 3, 3, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 18, 127, 24, 7, 19, 0, 12, 0, 4, 5, 6, 7, 8, 9, 10, 10, 9, 8, 7, 7, 8, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 2, 3, 6, 8, 6, 4, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 4, 4, 4, 4, 6, 5, 5, 4, 4, 3, 3, 2, 4, 5, 7, 8, 7, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 6, 5, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 22, 0, 6, 0, 1, 0, 9, 10, 8, 8, 8, 8, 7, 5, 2, 1, 8, 13, 14, 4, 8, 10, 0, 3, 7, 7, 7, 6, 6, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 4, 4, 3, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 2, 2, 3, 4, 6, 7, 8, 8, 7, 7, 6, 5, 5, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 3, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 8, 8, 8, 8, 12, 11, 10, 9, 8, 6, 5, 5, 2, 3, 5, 6, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 6, 5, 5, 5, 6, 7, 7, 6, 8, 9, 5, 0, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 7, 8, 8, 7, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 4, 17, 0, 23, 46, 12, 5, 16, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 8, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 4, 6, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 7, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 4, 4, 3, 3, 2, 1, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 6, 10, 15, 14, 8, 2, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 5, 6, 6, 4, 4, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 3, 3, 4, 5, 6, 8, 11, 10, 8, 5, 14, 10, 0, 4, 0, 12, 0, 12, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 7, 10, 12, 10, 8, 6, 5, 5, 6, 8, 10, 8, 8, 6, 5, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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7, 5, 5, 17, 19, 19, 0, 0, 7, 1, 17, 7, 7, 6, 4, 3, 4, 5, 6, 4, 4, 5, 6, 7, 8, 8, 9, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 4, 3, 2, 1, 1, 6, 7, 7, 7, 5, 4, 4, 5, 12, 18, 22, 9, 0, 7, 17, 9, 8, 7, 5, 4, 3, 4, 5, 6, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 4, 4, 4, 3, 2, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 4, 4, 5, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 3, 5, 6, 3, 4, 4, 5, 5, 4, 3, 3, 5, 7, 7, 4, 3, 4, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 3, 2, 2, 3, 4, 5, 14, 17, 15, 7, 2, 2, 2, 1, 7, 6, 4, 3, 3, 4, 6, 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2, 2, 0, 10, 22, 0, 17, 10, 0, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 7, 9, 11, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 2, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 9, 10, 8, 7, 6, 5, 5, 5, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 5, 7, 9, 9, 8, 8, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 7, 5, 2, 1, 4, 6, 8, 8, 11, 10, 9, 8, 6, 5, 4, 3, 4, 4, 4, 4, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 6, 4, 5, 5, 4, 3, 2, 4, 5, 5, 4, 3, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 4, 5, 5, 6, 6, 5, 5, 4, 6, 7, 8, 8, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 31, 25, 15, 6, 2, 3, 7, 11, 5, 6, 5, 3, 1, 1, 3, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 1, 0, 4, 4, 0, 1, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 8, 16, 11, 0, 0, 8, 7, 6, 5, 5, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 2, 2, 3, 3, 4, 11, 1, 14, 47, 59, 38, 12, 3, 7, 4, 2, 3, 6, 8, 7, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 4, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 34, 22, 8, 3, 6, 8, 4, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 6, 7, 7, 2, 3, 5, 6, 6, 5, 3, 2, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 8, 7, 6, 4, 4, 3, 6, 5, 4, 4, 6, 6, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 6, 7, 6, 4, 5, 6, 8, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 5, 7, 7, 5, 3, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 4, 5, 7, 8, 7, 4, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 3, 8, 8, 4, 3, 7, 6, 1, 1, 3, 5, 6, 6, 6, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 4, 3, 1, 0, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 2, 2, 5, 7, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 10, 9, 7, 4, 2, 9, 6, 7, 2, 0, 4, 9, 0, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 3, 3, 2, 8, 5, 3, 4, 8, 10, 9, 8, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 8, 5, 4, 5, 6, 4, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 10, 5, 6, 5, 0, 2, 9, 6, 7, 2, 1, 5, 6, 3, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 5, 6, 8, 9, 5, 6, 6, 7, 7, 6, 6, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 8, 10, 8, 7, 6, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 9, 9, 8, 7, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 6, 4, 2, 2, 5, 6, 7, 7, 10, 9, 9, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 6, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 3, 3, 4, 5, 6, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 7, 7, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 15, 12, 7, 4, 3, 4, 7, 9, 5, 6, 6, 4, 2, 2, 4, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 6, 11, 11, 6, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 12, 20, 16, 4, 2, 9, 4, 3, 2, 2, 1, 1, 1, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 3, 3, 4, 5, 5, 8, 0, 3, 20, 25, 14, 6, 7, 7, 4, 2, 3, 6, 7, 7, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 15, 9, 2, 1, 5, 7, 4, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 4, 4, 4, 5, 6, 7, 3, 3, 5, 5, 5, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 5, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 6, 7, 6, 4, 3, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 2, 3, 5, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 5, 4, 5, 7, 8, 6, 4, 3, 3, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 2, 7, 8, 5, 5, 9, 9, 5, 6, 7, 7, 6, 4, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 7, 6, 4, 2, 8, 4, 5, 4, 0, 5, 9, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 7, 5, 3, 4, 7, 8, 7, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 8, 5, 4, 5, 6, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 4, 0, 1, 9, 17, 14, 8, 6, 8, 3, 1, 4, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 6, 7, 8, 5, 6, 6, 7, 7, 6, 6, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 3, 2, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 9, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 4, 6, 8, 9, 7, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 3, 5, 4, 3, 4, 6, 7, 6, 5, 8, 8, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 5, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 4, 2, 3, 4, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 7, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 7, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 5, 6, 6, 5, 3, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 10, 15, 15, 10, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 13, 21, 17, 6, 3, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 4, 4, 5, 6, 6, 6, 4, 4, 4, 3, 1, 5, 12, 6, 4, 3, 3, 5, 7, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 4, 5, 5, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 1, 0, 0, 3, 5, 6, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 7, 6, 5, 5, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 2, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 7, 8, 6, 4, 3, 4, 5, 2, 3, 5, 5, 5, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 6, 4, 1, 1, 2, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 4, 5, 6, 7, 6, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 2, 5, 7, 6, 7, 11, 11, 8, 9, 8, 6, 4, 3, 2, 2, 2, 5, 5, 4, 4, 4, 4, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 9, 9, 7, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 4, 1, 3, 6, 6, 5, 6, 8, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 7, 5, 4, 4, 5, 6, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 8, 5, 4, 5, 6, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 7, 8, 0, 2, 9, 0, 0, 16, 12, 6, 2, 4, 5, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 5, 3, 2, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 8, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 6, 8, 8, 7, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 4, 4, 3, 5, 4, 4, 5, 7, 7, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 5, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 2, 5, 8, 9, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 4, 4, 3, 2, 4, 4, 4, 5, 6, 6, 5, 4, 7, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 7, 7, 6, 5, 4, 3, 5, 6, 7, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 8, 11, 11, 8, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 8, 14, 11, 3, 1, 4, 7, 7, 7, 7, 7, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 1, 7, 10, 6, 3, 4, 6, 6, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 6, 5, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 8, 7, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 7, 9, 10, 8, 6, 4, 4, 4, 4, 5, 7, 9, 9, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 6, 8, 5, 2, 1, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 3, 5, 6, 7, 8, 9, 9, 8, 7, 5, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 5, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 7, 10, 10, 7, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 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4, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 5, 3, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 9, 8, 7, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 4, 5, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 8, 10, 11, 10, 8, 5, 5, 5, 4, 5, 7, 9, 9, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 10, 7, 3, 3, 4, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 5, 8, 6, 4, 4, 6, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 4, 3, 2, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 9, 9, 5, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 2, 2, 2, 4, 5, 0, 7, 4, 4, 10, 4, 0, 11, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 8, 9, 9, 9, 7, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 8, 5, 4, 5, 6, 4, 3, 4, 6, 7, 7, 6, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 0, 12, 5, 1, 10, 5, 32, 94, 23, 15, 9, 8, 7, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 8, 8, 9, 9, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 6, 5, 6, 6, 5, 4, 3, 3, 4, 4, 9, 8, 7, 7, 7, 7, 8, 9, 6, 6, 5, 5, 5, 5, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 4, 5, 7, 7, 5, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 8, 9, 7, 5, 4, 4, 6, 6, 5, 3, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 3, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 3, 3, 5, 9, 10, 7, 3, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 6, 7, 7, 7, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 7, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 3, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 3, 2, 2, 3, 4, 5, 5, 6, 8, 7, 5, 4, 4, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7, 6, 2, 2, 6, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 4, 3, 3, 3, 4, 6, 4, 5, 6, 7, 7, 5, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 3, 2, 2, 2, 2, 3, 4, 6, 6, 4, 3, 6, 9, 6, 1, 4, 5, 5, 5, 4, 4, 6, 8, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 2, 1, 2, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 2, 2, 3, 4, 5, 5, 8, 7, 7, 6, 6, 6, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 3, 2, 2, 2, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 7, 9, 11, 11, 8, 6, 5, 5, 2, 3, 5, 5, 5, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 4, 5, 6, 10, 7, 5, 4, 6, 8, 8, 7, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 5, 4, 3, 4, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 4, 4, 7, 7, 3, 2, 4, 12, 9, 6, 7, 9, 8, 4, 0, 3, 3, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 7, 6, 4, 3, 2, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 3, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 6, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 3, 4, 5, 2, 19, 11, 1, 10, 6, 0, 10, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 7, 9, 11, 10, 8, 5, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 8, 5, 4, 5, 6, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 7, 8, 0, 2, 9, 0, 0, 16, 21, 14, 9, 9, 7, 3, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 6, 5, 4, 6, 5, 4, 3, 3, 3, 4, 4, 8, 7, 7, 6, 6, 7, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 6, 4, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 3, 4, 7, 11, 13, 9, 6, 4, 3, 4, 5, 5, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 7, 8, 7, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 7, 7, 7, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 2, 6, 10, 11, 8, 3, 3, 4, 5, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 4, 5, 6, 7, 7, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 2, 2, 2, 3, 3, 4, 4, 4, 4, 6, 8, 8, 6, 4, 4, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 7, 6, 2, 2, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 5, 4, 4, 5, 5, 4, 7, 8, 9, 10, 10, 8, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 3, 3, 3, 3, 4, 5, 10, 6, 4, 6, 8, 7, 7, 9, 3, 5, 6, 5, 3, 3, 6, 9, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 2, 2, 2, 3, 4, 5, 7, 7, 6, 6, 6, 7, 8, 8, 5, 5, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 3, 5, 8, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 7, 6, 5, 5, 7, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 6, 5, 3, 2, 4, 6, 5, 5, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 3, 3, 4, 5, 5, 6, 3, 4, 8, 9, 5, 4, 7, 11, 8, 7, 10, 13, 12, 6, 0, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 10, 9, 6, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 4, 6, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 5, 5, 5, 7, 33, 21, 0, 9, 9, 0, 8, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 6, 6, 6, 5, 5, 4, 7, 10, 10, 7, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 8, 5, 4, 5, 6, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 0, 1, 9, 17, 14, 8, 6, 13, 8, 5, 7, 7, 4, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 2, 2, 3, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 6, 5, 4, 6, 5, 4, 3, 3, 3, 3, 4, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 3, 5, 6, 6, 4, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 3, 2, 4, 8, 12, 15, 10, 7, 3, 2, 3, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 3, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 7, 8, 9, 8, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 8, 8, 7, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 7, 5, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 6, 4, 2, 2, 6, 11, 12, 8, 3, 2, 3, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 4, 4, 3, 3, 2, 3, 5, 6, 6, 5, 3, 2, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 3, 2, 2, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 7, 7, 8, 7, 6, 6, 5, 5, 6, 6, 7, 3, 4, 5, 6, 6, 4, 3, 1, 4, 7, 9, 9, 7, 5, 4, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 0, 5, 5, 1, 1, 5, 5, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 6, 3, 0, 3, 5, 6, 7, 7, 5, 3, 1, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 0, 3, 9, 8, 2, 2, 7, 3, 5, 6, 5, 3, 3, 6, 9, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 4, 5, 5, 6, 7, 7, 7, 6, 4, 3, 3, 4, 6, 7, 9, 8, 7, 7, 8, 7, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 2, 2, 3, 4, 5, 6, 6, 6, 6, 7, 8, 9, 9, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 3, 3, 4, 6, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 0, 3, 6, 7, 6, 4, 3, 3, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 5, 4, 4, 5, 7, 7, 5, 3, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 6, 6, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 5, 3, 2, 3, 6, 6, 5, 3, 2, 2, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 2, 2, 3, 5, 6, 6, 2, 3, 10, 11, 7, 7, 11, 6, 5, 6, 11, 16, 16, 10, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 20, 17, 12, 8, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 7, 4, 4, 7, 9, 8, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 6, 5, 5, 12, 43, 28, 0, 9, 12, 2, 8, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 7, 6, 6, 5, 5, 4, 1, 5, 9, 9, 6, 3, 3, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 8, 5, 4, 5, 6, 4, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 10, 5, 6, 5, 0, 2, 9, 6, 6, 2, 1, 4, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 4, 3, 3, 6, 8, 5, 4, 4, 4, 4, 5, 6, 7, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 3, 5, 6, 6, 4, 3, 2, 3, 8, 4, 0, 0, 6, 9, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 3, 3, 3, 4, 5, 6, 8, 8, 2, 3, 5, 6, 6, 5, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 10, 8, 0, 0, 7, 8, 2, 7, 7, 6, 6, 4, 4, 3, 3, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 5, 4, 4, 4, 5, 5, 5, 3, 2, 2, 4, 5, 5, 4, 6, 5, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 3, 2, 1, 2, 4, 7, 9, 3, 4, 4, 4, 3, 3, 2, 1, 6, 5, 4, 3, 3, 5, 6, 7, 4, 4, 5, 6, 7, 7, 8, 9, 2, 3, 5, 6, 7, 6, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 9, 9, 7, 6, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 4, 3, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 5, 4, 2, 3, 6, 8, 7, 6, 6, 5, 5, 6, 6, 7, 7, 7, 6, 6, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 3, 2, 5, 4, 4, 3, 3, 4, 4, 5, 8, 7, 6, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 4, 2, 3, 5, 8, 6, 8, 9, 7, 4, 3, 5, 7, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 6, 7, 9, 10, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 3, 7, 13, 19, 23, 6, 5, 5, 4, 4, 5, 5, 6, 0, 10, 12, 8, 6, 1, 10, 4, 1, 3, 5, 5, 5, 6, 9, 12, 18, 0, 3, 16, 8, 4, 9, 7, 5, 5, 5, 4, 4, 3, 3, 3, 5, 6, 6, 3, 1, 0, 1, 3, 5, 3, 2, 4, 7, 7, 4, 0, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 11, 6, 2, 1, 5, 8, 8, 5, 8, 4, 4, 9, 9, 4, 3, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 4, 4, 5, 6, 6, 3, 3, 4, 5, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 2, 4, 6, 5, 3, 2, 3, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 11, 10, 2, 0, 5, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 8, 7, 7, 6, 6, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 2, 6, 10, 10, 5, 2, 2, 3, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 5, 4, 4, 2, 4, 6, 8, 8, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 5, 7, 7, 5, 4, 12, 8, 4, 1, 2, 5, 7, 8, 6, 5, 3, 3, 5, 6, 6, 5, 4, 5, 7, 8, 8, 7, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 6, 5, 3, 3, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 3, 1, 1, 2, 4, 0, 3, 5, 3, 2, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 4, 4, 4, 4, 5, 6, 7, 8, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 5, 6, 6, 6, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 6, 3, 3, 5, 4, 1, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 6, 7, 7, 5, 4, 5, 8, 10, 10, 10, 6, 5, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 9, 8, 6, 4, 4, 5, 6, 8, 4, 5, 5, 5, 5, 4, 4, 3, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 6, 7, 8, 8, 3, 4, 5, 6, 7, 6, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 9, 8, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 5, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 8, 7, 6, 5, 5, 5, 5, 6, 7, 7, 6, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 6, 7, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 6, 7, 4, 6, 6, 5, 2, 1, 3, 5, 6, 5, 5, 5, 4, 4, 4, 3, 5, 5, 4, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 2, 5, 8, 10, 6, 5, 5, 4, 4, 5, 5, 6, 16, 1, 0, 4, 2, 13, 0, 10, 5, 6, 7, 6, 4, 4, 6, 8, 13, 47, 44, 12, 3, 6, 4, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 4, 3, 4, 5, 6, 6, 4, 2, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 5, 8, 8, 4, 4, 7, 5, 2, 2, 7, 8, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 2, 5, 6, 5, 3, 2, 4, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 3, 2, 5, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 7, 7, 7, 7, 7, 6, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 7, 7, 6, 6, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 6, 8, 9, 8, 6, 4, 6, 6, 5, 5, 5, 5, 4, 4, 2, 3, 3, 4, 6, 7, 8, 8, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 5, 6, 7, 5, 4, 11, 9, 7, 5, 4, 5, 7, 9, 7, 5, 4, 4, 5, 6, 5, 4, 5, 5, 6, 7, 7, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 8, 7, 5, 3, 3, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 5, 5, 5, 5, 2, 3, 4, 5, 6, 7, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 1, 0, 0, 3, 5, 6, 9, 9, 5, 4, 7, 7, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 10, 10, 5, 2, 3, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 4, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 5, 6, 7, 8, 9, 6, 5, 4, 6, 9, 11, 12, 12, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 12, 11, 8, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 3, 4, 5, 6, 6, 6, 6, 5, 7, 6, 5, 4, 4, 4, 4, 5, 7, 6, 5, 4, 3, 3, 3, 3, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 5, 3, 4, 6, 6, 3, 0, 5, 5, 4, 4, 4, 4, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 7, 7, 6, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 6, 6, 7, 8, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 5, 9, 10, 8, 5, 4, 5, 6, 5, 3, 2, 3, 4, 7, 6, 6, 6, 5, 5, 5, 4, 6, 5, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 2, 1, 1, 1, 2, 6, 5, 5, 4, 4, 5, 5, 6, 20, 13, 13, 12, 0, 15, 0, 14, 5, 6, 6, 4, 2, 2, 3, 5, 14, 67, 52, 5, 6, 8, 0, 7, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 4, 5, 8, 8, 8, 6, 3, 4, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 1, 8, 18, 14, 1, 0, 9, 5, 3, 3, 6, 6, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 5, 5, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 3, 2, 2, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 5, 6, 5, 4, 3, 4, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 6, 4, 5, 7, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 6, 7, 8, 9, 9, 7, 6, 5, 4, 4, 5, 5, 5, 5, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 4, 3, 6, 11, 12, 9, 4, 4, 4, 5, 5, 5, 5, 6, 6, 2, 3, 3, 4, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 5, 6, 6, 5, 3, 8, 10, 10, 8, 5, 4, 7, 10, 8, 6, 5, 4, 5, 5, 4, 2, 5, 5, 6, 6, 6, 6, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 7, 9, 8, 5, 3, 2, 2, 5, 4, 4, 4, 4, 5, 6, 7, 8, 7, 7, 6, 6, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 4, 2, 2, 3, 5, 10, 8, 3, 0, 7, 15, 10, 0, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 9, 18, 18, 8, 3, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 5, 3, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 6, 7, 8, 10, 11, 4, 3, 2, 3, 5, 7, 8, 7, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 10, 8, 6, 4, 3, 2, 2, 2, 6, 6, 6, 6, 6, 7, 7, 8, 6, 7, 7, 7, 6, 4, 2, 1, 4, 4, 4, 5, 5, 6, 6, 7, 4, 4, 5, 5, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 4, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 7, 8, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 4, 2, 5, 10, 10, 6, 1, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 7, 8, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 3, 6, 12, 13, 9, 4, 6, 6, 7, 7, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 0, 13, 14, 3, 0, 6, 3, 0, 4, 5, 5, 4, 1, 1, 2, 4, 20, 31, 14, 2, 14, 6, 0, 9, 5, 5, 5, 4, 4, 3, 3, 3, 4, 3, 3, 5, 8, 9, 7, 5, 2, 5, 8, 7, 4, 2, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 6, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 8, 25, 23, 4, 0, 8, 8, 7, 6, 6, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 8, 9, 8, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 7, 6, 5, 7, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 5, 6, 8, 9, 9, 7, 6, 4, 4, 4, 5, 6, 6, 5, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 4, 4, 6, 8, 9, 7, 4, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 5, 6, 6, 5, 3, 4, 8, 12, 10, 5, 2, 5, 9, 8, 7, 5, 5, 6, 5, 3, 1, 5, 5, 5, 6, 6, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 7, 9, 8, 5, 3, 2, 2, 5, 4, 4, 4, 4, 5, 6, 7, 8, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 6, 9, 10, 8, 5, 4, 4, 5, 11, 10, 4, 4, 11, 11, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 4, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 9, 18, 18, 8, 3, 7, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 5, 3, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 6, 7, 8, 10, 11, 5, 3, 2, 1, 3, 4, 3, 2, 4, 4, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 7, 6, 5, 5, 5, 5, 6, 7, 6, 7, 7, 7, 6, 4, 2, 1, 4, 4, 4, 5, 5, 5, 5, 6, 4, 4, 4, 4, 5, 5, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 3, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 3, 3, 5, 8, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 8, 7, 6, 4, 2, 4, 4, 4, 5, 5, 6, 6, 6, 6, 3, 2, 6, 11, 13, 9, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 7, 6, 6, 5, 4, 4, 5, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 3, 6, 11, 13, 8, 3, 5, 5, 6, 7, 8, 7, 6, 5, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 7, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 13, 4, 4, 15, 4, 22, 2, 11, 11, 10, 7, 4, 2, 2, 3, 21, 0, 0, 5, 8, 3, 3, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 4, 5, 6, 6, 5, 3, 3, 6, 8, 6, 3, 2, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 6, 6, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 0, 6, 25, 27, 10, 0, 5, 7, 7, 7, 5, 5, 7, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 8, 9, 8, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 5, 5, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 6, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 5, 6, 6, 4, 5, 6, 7, 7, 6, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 3, 5, 7, 6, 3, 2, 2, 4, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 4, 5, 6, 4, 3, 1, 6, 10, 9, 4, 1, 3, 6, 8, 6, 6, 6, 6, 5, 3, 0, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 7, 5, 3, 3, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 7, 6, 5, 4, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 3, 7, 11, 13, 11, 7, 4, 3, 15, 34, 40, 21, 1, 0, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 8, 7, 6, 5, 5, 6, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 8, 9, 9, 8, 7, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 10, 10, 5, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 5, 6, 7, 8, 9, 8, 6, 4, 3, 4, 4, 3, 2, 3, 4, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 8, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 4, 4, 4, 4, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 4, 3, 3, 5, 9, 10, 7, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 5, 9, 11, 9, 7, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 6, 9, 9, 7, 3, 2, 2, 3, 5, 7, 6, 4, 2, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 6, 8, 9, 10, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 2, 6, 5, 5, 4, 4, 5, 5, 6, 13, 14, 10, 19, 13, 0, 8, 18, 19, 18, 16, 12, 7, 3, 3, 3, 12, 0, 6, 9, 0, 2, 12, 3, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 4, 2, 2, 4, 6, 6, 6, 6, 5, 4, 4, 6, 7, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 1, 4, 19, 23, 11, 3, 3, 2, 5, 5, 4, 6, 12, 15, 14, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 4, 4, 5, 6, 6, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 5, 4, 5, 6, 7, 6, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 6, 3, 0, 2, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 2, 6, 8, 6, 1, 0, 1, 4, 4, 4, 5, 5, 5, 5, 6, 6, 2, 3, 3, 4, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 4, 5, 5, 4, 2, 2, 5, 8, 7, 3, 1, 2, 4, 6, 5, 5, 6, 7, 6, 3, 0, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 5, 3, 3, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 7, 10, 11, 9, 6, 5, 4, 20, 38, 42, 21, 1, 0, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 7, 6, 5, 5, 5, 5, 6, 7, 11, 9, 7, 5, 4, 5, 6, 7, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 7, 8, 8, 9, 8, 7, 6, 5, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 6, 3, 3, 5, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 6, 7, 8, 6, 4, 4, 5, 6, 5, 4, 2, 4, 6, 8, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 7, 8, 8, 9, 9, 8, 8, 8, 13, 11, 8, 6, 5, 5, 6, 7, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 4, 2, 2, 6, 10, 11, 8, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 4, 4, 4, 2, 2, 2, 5, 7, 7, 4, 1, 6, 5, 5, 5, 4, 4, 4, 3, 5, 4, 4, 4, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 3, 2, 2, 2, 6, 5, 5, 4, 4, 5, 5, 6, 2, 0, 7, 16, 0, 45, 0, 7, 14, 14, 13, 10, 6, 4, 4, 5, 5, 14, 12, 4, 4, 8, 8, 6, 5, 5, 5, 4, 4, 3, 3, 3, 3, 6, 8, 5, 1, 1, 7, 14, 8, 6, 4, 4, 5, 6, 7, 6, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 5, 11, 12, 7, 3, 4, 3, 6, 6, 2, 4, 11, 14, 12, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 5, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 8, 5, 4, 5, 7, 8, 6, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 11, 14, 9, 0, 1, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 4, 3, 4, 6, 8, 9, 5, 6, 6, 7, 7, 6, 6, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 3, 3, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 2, 3, 3, 4, 6, 7, 8, 8, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 4, 5, 5, 4, 2, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 5, 6, 8, 7, 4, 1, 5, 5, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 5, 4, 3, 3, 6, 8, 5, 4, 4, 4, 4, 5, 6, 7, 2, 3, 3, 4, 4, 5, 5, 5, 2, 3, 4, 5, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 7, 8, 7, 5, 4, 5, 6, 2, 10, 9, 0, 1, 13, 11, 0, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 7, 6, 6, 5, 5, 5, 3, 3, 3, 4, 5, 6, 8, 8, 8, 7, 5, 4, 4, 5, 7, 8, 12, 11, 8, 5, 4, 4, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 8, 7, 7, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 6, 6, 7, 7, 7, 6, 5, 4, 3, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 10, 8, 0, 0, 7, 8, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 5, 4, 4, 4, 5, 5, 4, 3, 1, 2, 4, 6, 6, 5, 2, 4, 6, 8, 9, 8, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 7, 7, 7, 6, 5, 5, 4, 16, 14, 10, 8, 6, 6, 7, 7, 6, 5, 4, 3, 3, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 4, 5, 7, 8, 7, 6, 5, 4, 4, 4, 4, 5, 7, 6, 6, 5, 5, 6, 7, 7, 4, 5, 7, 8, 8, 7, 5, 4, 4, 2, 2, 6, 11, 12, 8, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 5, 3, 0, 0, 0, 2, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 3, 4, 5, 7, 6, 6, 5, 5, 6, 6, 7, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 6, 7, 8, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 5, 2, 1, 3, 5, 4, 3, 4, 7, 10, 10, 7, 3, 5, 5, 4, 4, 4, 3, 3, 3, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 13, 0, 4, 17, 33, 173, 41, 3, 2, 3, 4, 3, 3, 3, 6, 8, 4, 16, 0, 0, 23, 16, 0, 14, 5, 5, 5, 4, 4, 3, 3, 3, 1, 6, 9, 6, 0, 1, 11, 21, 10, 6, 3, 3, 6, 8, 7, 5, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 0, 4, 7, 6, 2, 1, 3, 5, 7, 10, 8, 2, 1, 7, 8, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 7, 3, 3, 3, 3, 3, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 3, 2, 2, 3, 3, 4, 5, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 8, 6, 4, 5, 7, 8, 7, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 0, 7, 18, 24, 16, 4, 3, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 7, 9, 7, 5, 3, 4, 7, 10, 12, 5, 6, 6, 7, 7, 6, 6, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 8, 7, 6, 6, 5, 5, 4, 4, 3, 7, 3, 1, 2, 6, 9, 7, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 5, 4, 4, 2, 4, 6, 8, 8, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 3, 5, 5, 3, 2, 9, 7, 5, 5, 6, 6, 6, 5, 3, 3, 4, 7, 8, 8, 5, 2, 6, 5, 3, 2, 2, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 5, 7, 7, 6, 6, 7, 8, 8, 8, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 7, 7, 7, 6, 6, 8, 5, 3, 3, 4, 6, 6, 5, 7, 6, 4, 2, 2, 2, 3, 4, 5, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 7, 7, 6, 5, 3, 2, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 5, 6, 5, 5, 6, 8, 11, 7, 6, 4, 3, 3, 4, 6, 7, 5, 9, 10, 6, 3, 5, 6, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 9, 9, 8, 6, 5, 4, 5, 5, 6, 5, 4, 2, 1, 6, 6, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 3, 5, 7, 7, 6, 6, 5, 4, 3, 4, 5, 7, 8, 4, 5, 6, 7, 6, 5, 3, 2, 10, 5, 0, 1, 5, 8, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 2, 2, 5, 6, 4, 6, 10, 46, 90, 18, 16, 0, 28, 0, 22, 2, 4, 6, 7, 7, 6, 4, 3, 8, 6, 5, 5, 5, 5, 4, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 3, 0, 0, 3, 6, 6, 5, 3, 5, 6, 5, 3, 3, 6, 9, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 8, 6, 4, 3, 4, 7, 10, 13, 4, 4, 3, 3, 4, 6, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 5, 2, 1, 1, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 2, 1, 1, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 5, 7, 8, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 2, 2, 17, 43, 53, 32, 4, 7, 8, 7, 5, 2, 2, 4, 6, 2, 2, 3, 7, 19, 27, 18, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 7, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 6, 5, 5, 6, 6, 7, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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8, 6, 5, 5, 6, 7, 6, 4, 5, 5, 6, 6, 6, 7, 7, 7, 9, 8, 6, 3, 1, 3, 7, 10, 4, 5, 5, 4, 4, 5, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 5, 6, 7, 8, 8, 7, 6, 5, 4, 3, 2, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 1, 6, 10, 9, 5, 2, 3, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 2, 3, 3, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 6, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 1, 2, 7, 12, 12, 8, 7, 8, 7, 5, 2, 2, 4, 6, 9, 7, 4, 1, 1, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 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4, 6, 6, 5, 4, 4, 4, 5, 6, 8, 9, 9, 8, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 6, 5, 4, 6, 5, 4, 5, 6, 7, 5, 3, 5, 6, 8, 9, 9, 8, 7, 6, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 4, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 2, 6, 7, 4, 2, 5, 6, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 9, 8, 6, 5, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 3, 5, 7, 7, 6, 5, 6, 7, 8, 8, 7, 5, 4, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 6, 11, 11, 7, 5, 7, 0, 38, 19, 0, 17, 21, 12, 11, 2, 7, 12, 12, 8, 4, 4, 5, 10, 8, 6, 6, 6, 6, 4, 2, 5, 5, 6, 6, 6, 7, 7, 7, 9, 5, 3, 5, 10, 13, 11, 8, 5, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 8, 8, 7, 6, 5, 5, 4, 3, 2, 2, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 11, 15, 14, 8, 4, 6, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 2, 3, 3, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 5, 6, 7, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 15, 6, 0, 1, 6, 8, 3, 0, 7, 8, 7, 5, 2, 2, 4, 6, 6, 5, 5, 5, 5, 4, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 6, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 7, 7, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 4, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 5, 5, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 6, 5, 4, 3, 4, 7, 9, 11, 7, 7, 6, 6, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 3, 2, 2, 6, 9, 9, 7, 6, 5, 6, 6, 7, 7, 6, 6, 5, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 5, 4, 3, 2, 2, 3, 4, 5, 6, 7, 7, 4, 3, 3, 2, 2, 3, 4, 4, 8, 7, 5, 4, 4, 5, 7, 8, 4, 4, 4, 5, 5, 6, 6, 7, 4, 5, 5, 5, 5, 5, 5, 5, 2, 13, 2, 14, 0, 12, 22, 6, 11, 7, 2, 3, 7, 9, 6, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 8, 8, 9, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 5, 4, 3, 5, 4, 4, 5, 7, 7, 5, 3, 6, 6, 7, 8, 8, 8, 7, 7, 3, 3, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 4, 3, 3, 5, 7, 4, 5, 5, 6, 6, 5, 5, 4, 7, 11, 11, 6, 4, 5, 5, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 7, 7, 9, 8, 6, 5, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 3, 5, 7, 7, 6, 3, 3, 4, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 4, 5, 9, 10, 6, 5, 7, 43, 0, 19, 24, 0, 0, 0, 1, 4, 11, 18, 18, 13, 7, 6, 7, 10, 8, 6, 6, 7, 7, 5, 3, 4, 5, 5, 5, 6, 6, 6, 7, 5, 3, 5, 14, 23, 23, 13, 2, 6, 4, 3, 3, 5, 7, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 7, 7, 6, 5, 4, 5, 4, 3, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 9, 8, 4, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 3, 5, 7, 9, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 2, 0, 0, 4, 4, 4, 5, 4, 3, 4, 7, 10, 5, 3, 4, 7, 8, 5, 5, 7, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 8, 8, 8, 8, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 5, 6, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 4, 4, 4, 6, 8, 9, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 9, 6, 5, 8, 9, 6, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 2, 2, 3, 3, 4, 5, 5, 5, 5, 5, 4, 3, 2, 2, 3, 3, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 7, 6, 6, 6, 6, 6, 5, 3, 3, 0, 0, 0, 10, 6, 23, 0, 18, 9, 6, 3, 3, 6, 7, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 8, 7, 6, 5, 4, 3, 5, 4, 4, 6, 7, 7, 5, 2, 6, 6, 5, 5, 6, 7, 8, 8, 8, 6, 4, 3, 3, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 4, 2, 2, 4, 6, 4, 4, 6, 6, 6, 6, 4, 4, 6, 10, 11, 6, 3, 5, 5, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 6, 5, 5, 4, 5, 6, 7, 8, 6, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 3, 5, 7, 7, 6, 3, 3, 3, 3, 5, 6, 8, 8, 7, 6, 5, 4, 3, 4, 5, 5, 3, 5, 6, 7, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 3, 3, 5, 7, 8, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 4, 4, 7, 7, 4, 4, 7, 0, 8, 2, 14, 10, 11, 16, 6, 5, 12, 18, 17, 10, 5, 6, 8, 7, 5, 5, 6, 8, 9, 8, 7, 3, 4, 4, 4, 5, 5, 5, 6, 5, 4, 6, 13, 18, 18, 10, 3, 7, 4, 2, 3, 6, 7, 7, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 6, 6, 5, 5, 4, 5, 4, 3, 2, 1, 2, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 6, 8, 5, 0, 5, 14, 4, 4, 5, 4, 3, 4, 7, 10, 9, 3, 1, 6, 8, 5, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 7, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 7, 7, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 6, 5, 4, 3, 6, 6, 5, 5, 6, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 8, 5, 5, 8, 6, 1, 0, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 9, 8, 7, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 8, 8, 7, 6, 5, 4, 4, 3, 5, 5, 6, 7, 6, 5, 4, 3, 20, 8, 12, 4, 3, 15, 3, 21, 7, 6, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 7, 6, 5, 4, 3, 5, 4, 4, 6, 7, 7, 5, 2, 6, 5, 4, 4, 4, 6, 8, 9, 15, 11, 6, 2, 2, 6, 11, 15, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 5, 4, 3, 3, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 4, 2, 2, 4, 6, 3, 4, 6, 7, 7, 6, 4, 3, 0, 5, 6, 3, 2, 5, 6, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 5, 4, 5, 6, 8, 9, 2, 2, 3, 3, 5, 7, 8, 9, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 3, 5, 7, 7, 6, 5, 4, 4, 5, 6, 9, 11, 13, 8, 7, 5, 4, 3, 4, 5, 6, 0, 2, 5, 5, 4, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 3, 1, 2, 4, 8, 10, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 8, 4, 3, 6, 5, 3, 3, 7, 8, 3, 10, 3, 0, 17, 0, 7, 4, 10, 14, 11, 5, 1, 3, 8, 3, 3, 3, 5, 9, 11, 11, 11, 3, 3, 3, 4, 4, 4, 5, 5, 9, 6, 4, 2, 4, 6, 8, 9, 7, 4, 2, 3, 6, 8, 7, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 1, 1, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 7, 8, 9, 9, 8, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 2, 4, 7, 11, 12, 13, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 7, 7, 6, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 4, 0, 4, 7, 4, 3, 6, 7, 8, 7, 5, 2, 2, 4, 6, 13, 4, 0, 3, 6, 3, 1, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 5, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 6, 7, 8, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 2, 2, 3, 5, 5, 5, 5, 3, 2, 9, 6, 3, 2, 3, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 5, 4, 3, 2, 4, 5, 5, 6, 6, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 4, 5, 9, 8, 3, 4, 11, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 6, 6, 6, 5, 12, 11, 9, 7, 6, 5, 4, 4, 2, 3, 5, 6, 6, 5, 3, 2, 12, 11, 9, 7, 5, 3, 1, 0, 3, 4, 6, 7, 7, 6, 5, 4, 12, 0, 17, 2, 4, 2, 13, 0, 5, 5, 5, 4, 2, 2, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 7, 7, 5, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 7, 7, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 10, 9, 4, 4, 7, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 6, 9, 4, 3, 8, 8, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 6, 8, 10, 11, 7, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 4, 3, 4, 8, 16, 22, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 11, 9, 6, 5, 5, 5, 4, 3, 3, 3, 4, 4, 3, 3, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 7, 6, 4, 3, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 5, 3, 2, 2, 3, 5, 4, 4, 4, 4, 5, 6, 7, 3, 3, 4, 6, 7, 5, 3, 0, 7, 4, 1, 2, 5, 6, 5, 2, 2, 10, 18, 20, 15, 8, 4, 4, 7, 4, 2, 4, 6, 8, 6, 3, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 7, 6, 6, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 5, 6, 5, 4, 4, 5, 6, 7, 5, 3, 4, 7, 7, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 9, 7, 5, 3, 2, 3, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 3, 3, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 8, 6, 5, 5, 5, 5, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 10, 10, 5, 2, 4, 5, 4, 6, 10, 13, 11, 5, 2, 4, 7, 3, 4, 4, 5, 5, 4, 4, 3, 7, 6, 6, 5, 5, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 9, 9, 9, 9, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 2, 2, 3, 3, 4, 6, 4, 1, 3, 6, 8, 7, 5, 4, 5, 6, 7, 6, 5, 3, 2, 6, 7, 8, 6, 4, 2, 3, 4, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 5, 6, 6, 5, 3, 2, 2, 2, 3, 4, 6, 7, 8, 8, 30, 14, 3, 5, 7, 1, 0, 4, 1, 8, 5, 3, 8, 7, 5, 13, 4, 3, 3, 4, 5, 6, 4, 2, 6, 5, 5, 4, 4, 5, 5, 6, 9, 0, 0, 3, 10, 9, 5, 3, 5, 5, 6, 7, 7, 7, 7, 6, 6, 4, 2, 2, 4, 5, 5, 4, 2, 3, 3, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 5, 0, 3, 10, 7, 0, 8, 7, 5, 4, 3, 4, 5, 6, 5, 6, 6, 6, 6, 5, 4, 3, 6, 5, 3, 2, 2, 3, 5, 6, 6, 5, 3, 2, 2, 3, 5, 6, 4, 5, 7, 8, 9, 9, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 6, 6, 5, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 5, 4, 4, 7, 10, 12, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 0, 4, 10, 12, 10, 7, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 10, 10, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 6, 4, 3, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 9, 7, 3, 3, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 5, 8, 7, 3, 1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 6, 6, 6, 6, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 4, 4, 4, 4, 6, 6, 6, 7, 8, 6, 4, 4, 7, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 7, 5, 3, 3, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 6, 6, 7, 9, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 7, 5, 4, 4, 5, 6, 6, 5, 4, 9, 14, 14, 9, 5, 4, 5, 7, 4, 3, 4, 6, 7, 6, 3, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 6, 5, 4, 4, 5, 6, 5, 5, 4, 5, 6, 5, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 8, 7, 5, 3, 3, 4, 6, 7, 6, 5, 4, 4, 6, 6, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 5, 4, 4, 6, 6, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 9, 8, 4, 3, 5, 6, 3, 5, 9, 11, 10, 5, 2, 3, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 8, 8, 8, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 2, 2, 3, 3, 4, 6, 4, 2, 3, 6, 8, 7, 5, 4, 4, 5, 5, 5, 4, 2, 1, 0, 2, 4, 5, 4, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 14, 6, 3, 7, 6, 3, 8, 19, 6, 20, 14, 0, 1, 5, 1, 0, 6, 6, 5, 6, 8, 8, 6, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 8, 11, 7, 0, 0, 1, 6, 2, 3, 4, 6, 6, 6, 6, 5, 7, 5, 4, 4, 5, 6, 6, 5, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 7, 5, 5, 6, 4, 1, 7, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 7, 8, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 6, 6, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 5, 4, 4, 6, 9, 11, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 8, 7, 5, 3, 3, 4, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 6, 2, 3, 8, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 12, 1, 0, 8, 10, 2, 0, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 8, 9, 7, 5, 3, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 8, 8, 6, 4, 3, 5, 3, 1, 2, 4, 5, 5, 5, 7, 7, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 7, 6, 7, 9, 11, 2, 3, 5, 6, 7, 6, 5, 5, 7, 6, 5, 4, 4, 7, 9, 11, 6, 7, 7, 6, 5, 5, 6, 8, 6, 8, 9, 7, 3, 1, 4, 7, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 4, 5, 6, 6, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 5, 5, 5, 6, 8, 9, 6, 5, 4, 4, 6, 6, 5, 4, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 4, 3, 4, 6, 7, 6, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 3, 4, 7, 6, 2, 4, 7, 9, 8, 4, 2, 3, 5, 5, 6, 6, 7, 7, 6, 6, 5, 2, 3, 4, 5, 5, 4, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 4, 3, 4, 6, 7, 6, 5, 3, 4, 4, 4, 4, 3, 2, 1, 3, 6, 9, 10, 9, 9, 9, 10, 6, 6, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 1, 1, 5, 9, 6, 3, 14, 30, 19, 38, 31, 8, 8, 16, 10, 1, 6, 6, 5, 6, 8, 8, 6, 4, 6, 5, 5, 4, 4, 5, 5, 6, 0, 9, 11, 4, 0, 3, 4, 2, 2, 3, 5, 6, 7, 6, 5, 4, 8, 6, 4, 5, 6, 7, 7, 6, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 7, 9, 7, 3, 2, 4, 5, 6, 6, 6, 5, 5, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 7, 8, 8, 8, 7, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 6, 8, 10, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 12, 8, 3, 1, 2, 5, 8, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 7, 5, 2, 3, 8, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 8, 2, 0, 5, 10, 10, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 7, 7, 6, 4, 3, 3, 3, 3, 4, 4, 4, 4, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 5, 6, 4, 3, 3, 4, 5, 5, 4, 7, 7, 8, 8, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 8, 7, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 5, 4, 5, 6, 8, 1, 3, 5, 7, 8, 7, 5, 4, 7, 7, 7, 6, 5, 5, 7, 9, 4, 7, 8, 6, 3, 3, 6, 9, 5, 7, 7, 5, 2, 1, 4, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 7, 6, 6, 5, 5, 4, 4, 3, 9, 7, 5, 4, 5, 6, 6, 6, 3, 7, 9, 8, 5, 2, 4, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 6, 8, 9, 10, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 5, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 3, 3, 4, 6, 7, 7, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 3, 5, 9, 7, 2, 2, 5, 7, 6, 4, 2, 3, 4, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 5, 7, 7, 5, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 5, 4, 5, 5, 6, 6, 5, 4, 5, 5, 5, 5, 4, 4, 3, 3, 8, 10, 12, 13, 11, 8, 7, 8, 7, 6, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 2, 3, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 2, 4, 8, 10, 5, 3, 12, 25, 8, 22, 16, 1, 2, 6, 2, 0, 4, 3, 3, 4, 5, 6, 4, 2, 6, 5, 5, 4, 4, 5, 5, 6, 6, 7, 2, 2, 16, 30, 20, 0, 6, 7, 8, 8, 8, 6, 5, 4, 8, 6, 4, 4, 6, 7, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 2, 2, 7, 7, 3, 3, 7, 4, 5, 6, 7, 6, 5, 3, 2, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 7, 8, 8, 7, 5, 4, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 6, 7, 8, 5, 5, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 7, 8, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 4, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 8, 6, 2, 3, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 7, 8, 13, 10, 3, 9, 20, 18, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 9, 8, 7, 6, 4, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 4, 5, 7, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 6, 6, 7, 8, 9, 10, 8, 5, 5, 5, 5, 4, 3, 6, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 12, 10, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 4, 5, 1, 3, 5, 7, 8, 7, 5, 4, 4, 7, 9, 8, 6, 3, 3, 4, 3, 5, 7, 5, 2, 1, 4, 7, 4, 5, 7, 7, 5, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 7, 6, 6, 5, 5, 4, 4, 3, 11, 8, 4, 3, 5, 7, 6, 5, 5, 8, 11, 9, 6, 4, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 8, 9, 9, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 3, 3, 4, 6, 7, 7, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 5, 6, 4, 5, 8, 7, 2, 1, 3, 5, 5, 4, 3, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 5, 7, 8, 8, 7, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 1, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 5, 4, 5, 6, 6, 6, 5, 4, 4, 7, 7, 6, 6, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 3, 4, 7, 6, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 2, 2, 3, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 8, 6, 5, 8, 14, 4, 7, 3, 2, 6, 0, 0, 8, 4, 3, 3, 4, 5, 6, 4, 2, 6, 5, 5, 4, 4, 5, 5, 6, 10, 8, 3, 7, 27, 42, 27, 0, 8, 8, 7, 6, 5, 4, 3, 2, 6, 4, 3, 3, 4, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 2, 0, 2, 6, 6, 6, 8, 4, 5, 6, 7, 6, 5, 3, 2, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 7, 8, 8, 7, 5, 4, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 5, 4, 5, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 9, 8, 7, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 6, 4, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 10, 9, 4, 4, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 7, 7, 7, 12, 23, 19, 5, 7, 22, 20, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 7, 7, 3, 3, 3, 4, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 10, 8, 4, 3, 5, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 9, 7, 5, 5, 7, 9, 10, 11, 9, 6, 5, 6, 5, 4, 3, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 11, 13, 14, 11, 6, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 11, 12, 11, 9, 6, 4, 4, 5, 2, 3, 5, 6, 7, 6, 5, 5, 2, 6, 10, 10, 6, 3, 3, 4, 4, 4, 5, 4, 2, 2, 4, 6, 3, 5, 7, 8, 8, 6, 4, 3, 6, 7, 7, 6, 4, 3, 3, 4, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 13, 9, 4, 3, 5, 7, 7, 5, 6, 7, 9, 8, 7, 5, 5, 6, 7, 7, 6, 5, 5, 4, 3, 3, 7, 7, 7, 6, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 4, 3, 4, 6, 7, 6, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 5, 5, 4, 3, 3, 2, 8, 10, 7, 5, 7, 6, 4, 1, 2, 3, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 6, 7, 8, 8, 7, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 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3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 7, 9, 10, 9, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 5, 7, 7, 5, 3, 3, 4, 5, 5, 4, 4, 6, 8, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 11, 8, 5, 5, 7, 8, 6, 3, 5, 3, 4, 9, 14, 13, 7, 1, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 7, 7, 8, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 4, 1, 2, 2, 4, 7, 11, 14, 16, 11, 10, 9, 7, 6, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 6, 6, 7, 8, 8, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 6, 5, 4, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 0, 0, 7, 9, 3, 0, 3, 5, 6, 7, 6, 4, 3, 4, 5, 0, 15, 25, 18, 5, 1, 4, 6, 3, 5, 7, 6, 4, 3, 5, 7, 9, 10, 10, 8, 6, 4, 4, 5, 8, 7, 6, 6, 8, 8, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 6, 7, 7, 3, 4, 6, 8, 9, 8, 6, 5, 2, 4, 6, 5, 4, 3, 3, 4, 5, 5, 5, 5, 6, 7, 8, 8, 6, 5, 5, 4, 4, 3, 3, 2, 5, 6, 6, 7, 7, 6, 6, 5, 2, 3, 5, 6, 6, 5, 3, 2, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 5, 4, 3, 3, 5, 5, 4, 3, 8, 8, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 7, 7, 6, 5, 3, 2, 3, 5, 7, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 7, 6, 5, 5, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 7, 9, 7, 6, 8, 9, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 6, 6, 7, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 8, 2, 5, 11, 3, 0, 29, 69, 11, 10, 7, 4, 3, 3, 4, 5, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 11, 118, 8, 8, 10, 0, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 9, 11, 9, 3, 1, 3, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 6, 5, 3, 3, 3, 2, 6, 8, 8, 5, 3, 3, 5, 2, 5, 8, 6, 3, 2, 5, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 10, 47, 125, 99, 35, 17, 0, 12, 6, 5, 5, 5, 5, 5, 5, 4, 7, 5, 4, 4, 6, 6, 5, 3, 15, 0, 0, 12, 17, 4, 0, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 4, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 6, 5, 4, 4, 4, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 5, 4, 3, 2, 7, 6, 5, 5, 7, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 6, 8, 8, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 3, 3, 3, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 4, 5, 6, 5, 4, 5, 7, 9, 7, 4, 3, 6, 6, 4, 9, 17, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 6, 6, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 9, 10, 9, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 5, 7, 7, 5, 3, 3, 5, 5, 5, 4, 4, 6, 8, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 9, 6, 2, 2, 3, 4, 4, 2, 6, 4, 5, 9, 13, 13, 8, 2, 7, 6, 5, 5, 4, 4, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 6, 5, 5, 4, 4, 4, 5, 7, 9, 10, 11, 9, 8, 7, 6, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 7, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 8, 6, 5, 5, 3, 3, 6, 11, 5, 6, 7, 6, 4, 3, 4, 5, 0, 9, 13, 7, 2, 3, 4, 3, 3, 5, 7, 6, 4, 3, 5, 7, 7, 9, 9, 8, 6, 4, 5, 6, 7, 5, 4, 5, 7, 7, 6, 4, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 2, 3, 5, 7, 7, 6, 5, 4, 4, 6, 8, 7, 6, 5, 6, 7, 6, 6, 5, 5, 5, 6, 7, 7, 5, 5, 4, 4, 4, 4, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 4, 3, 3, 5, 5, 4, 3, 6, 6, 6, 6, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 8, 9, 5, 5, 4, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 7, 8, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 4, 3, 5, 3, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 2, 0, 3, 9, 4, 0, 8, 28, 10, 8, 6, 4, 3, 4, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 41, 0, 3, 13, 3, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 11, 8, 3, 1, 3, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 4, 4, 4, 4, 4, 6, 7, 6, 4, 4, 8, 11, 19, 15, 10, 6, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 20, 87, 255, 245, 60, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 2, 20, 23, 4, 0, 3, 10, 7, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 6, 6, 5, 5, 6, 7, 8, 9, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 7, 6, 6, 5, 4, 7, 5, 4, 4, 5, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 7, 7, 7, 7, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 7, 7, 6, 5, 4, 6, 5, 5, 6, 7, 7, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 5, 5, 5, 3, 4, 6, 8, 7, 4, 4, 6, 5, 5, 8, 14, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 6, 6, 6, 6, 7, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 6, 9, 9, 8, 6, 8, 7, 6, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 5, 7, 7, 5, 3, 4, 5, 6, 5, 4, 4, 6, 8, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 1, 1, 3, 5, 5, 5, 6, 5, 5, 8, 12, 12, 7, 3, 8, 7, 5, 4, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 7, 7, 7, 7, 6, 6, 6, 6, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 7, 7, 2, 0, 2, 6, 7, 5, 6, 7, 6, 4, 3, 4, 5, 4, 4, 2, 0, 2, 6, 5, 1, 4, 5, 6, 6, 4, 4, 5, 6, 5, 7, 8, 7, 5, 5, 6, 7, 5, 4, 4, 5, 6, 6, 5, 3, 8, 7, 7, 7, 6, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 4, 1, 2, 4, 5, 6, 5, 4, 3, 5, 6, 8, 7, 5, 5, 6, 7, 7, 7, 6, 5, 5, 5, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 4, 3, 4, 5, 6, 5, 3, 4, 4, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 6, 8, 9, 10, 4, 4, 5, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 8, 6, 5, 7, 11, 13, 11, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 3, 5, 8, 5, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 5, 8, 6, 1, 0, 2, 7, 6, 5, 4, 4, 5, 6, 7, 7, 7, 6, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 15, 14, 0, 10, 4, 9, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 9, 8, 4, 2, 3, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 4, 3, 6, 11, 14, 27, 19, 8, 2, 3, 5, 6, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 26, 73, 239, 232, 55, 2, 23, 2, 3, 4, 4, 5, 5, 6, 6, 7, 6, 5, 3, 4, 6, 7, 5, 4, 0, 0, 0, 0, 2, 6, 9, 12, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 7, 5, 3, 3, 4, 4, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7, 10, 12, 12, 10, 7, 5, 6, 6, 7, 8, 8, 7, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 7, 8, 8, 7, 5, 4, 6, 5, 4, 5, 6, 7, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 5, 6, 6, 5, 4, 4, 6, 8, 4, 3, 3, 3, 2, 2, 6, 9, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 5, 5, 5, 5, 6, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 6, 8, 9, 7, 6, 8, 7, 5, 3, 3, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 5, 7, 7, 5, 3, 4, 5, 6, 5, 3, 3, 5, 7, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 2, 4, 6, 7, 8, 8, 6, 5, 4, 6, 8, 8, 6, 3, 8, 7, 5, 3, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 8, 8, 8, 6, 4, 3, 4, 3, 3, 3, 4, 4, 6, 6, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 6, 8, 5, 4, 6, 4, 0, 5, 6, 7, 6, 4, 3, 4, 5, 8, 5, 3, 3, 6, 9, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 6, 5, 5, 6, 8, 5, 5, 4, 6, 7, 7, 5, 3, 8, 7, 7, 6, 5, 5, 4, 4, 9, 8, 8, 7, 6, 5, 4, 4, 2, 3, 4, 5, 6, 5, 5, 4, 3, 4, 5, 4, 3, 2, 4, 6, 8, 8, 7, 6, 5, 5, 5, 5, 3, 3, 4, 4, 5, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 6, 5, 3, 2, 2, 3, 5, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 3, 4, 6, 6, 5, 4, 2, 3, 3, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 8, 9, 3, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 9, 5, 2, 5, 11, 14, 12, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 11, 18, 15, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 9, 6, 2, 3, 7, 7, 4, 5, 5, 4, 4, 4, 5, 7, 8, 8, 7, 6, 6, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 19, 0, 27, 6, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 7, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 5, 3, 2, 4, 5, 6, 7, 5, 5, 4, 3, 4, 6, 9, 11, 18, 12, 4, 0, 1, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 12, 61, 53, 9, 3, 0, 0, 2, 3, 4, 4, 6, 6, 7, 8, 5, 4, 3, 4, 6, 7, 6, 5, 22, 10, 6, 16, 19, 10, 1, 0, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 7, 7, 7, 8, 8, 7, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 7, 5, 3, 2, 3, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7, 9, 11, 11, 9, 7, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 7, 8, 8, 7, 6, 5, 6, 5, 3, 4, 5, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 7, 8, 8, 7, 5, 5, 7, 8, 3, 5, 5, 3, 1, 2, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 4, 4, 6, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 6, 8, 8, 6, 5, 7, 5, 3, 2, 2, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 5, 7, 7, 5, 3, 5, 6, 6, 5, 3, 3, 5, 7, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 1, 3, 5, 6, 7, 6, 6, 5, 5, 4, 3, 4, 5, 5, 4, 3, 7, 6, 5, 4, 3, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 4, 5, 6, 7, 8, 7, 5, 4, 3, 2, 2, 2, 3, 4, 6, 6, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 2, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 8, 10, 6, 0, 5, 6, 7, 6, 4, 3, 4, 5, 7, 7, 8, 10, 8, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 5, 4, 4, 6, 8, 6, 6, 6, 8, 9, 9, 6, 4, 6, 5, 5, 5, 4, 4, 3, 3, 11, 11, 10, 9, 7, 6, 6, 5, 4, 5, 5, 6, 6, 6, 6, 6, 4, 5, 5, 4, 2, 2, 4, 6, 8, 8, 7, 6, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 5, 6, 6, 7, 7, 6, 6, 5, 6, 5, 3, 2, 2, 3, 5, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 4, 4, 6, 7, 5, 4, 2, 3, 3, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 4, 5, 8, 9, 9, 7, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 3, 1, 3, 9, 11, 9, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 14, 21, 19, 13, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 6, 5, 0, 0, 5, 8, 7, 3, 3, 4, 4, 5, 6, 7, 7, 8, 7, 6, 6, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 0, 7, 11, 16, 2, 4, 0, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 2, 2, 5, 7, 7, 7, 4, 4, 4, 4, 5, 5, 4, 3, 6, 7, 6, 4, 2, 2, 6, 9, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 13, 19, 11, 0, 16, 19, 1, 11, 2, 3, 4, 4, 6, 6, 7, 8, 5, 4, 3, 4, 6, 7, 6, 5, 0, 19, 23, 5, 0, 9, 13, 3, 6, 6, 5, 4, 4, 5, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 7, 7, 7, 7, 6, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 3, 4, 4, 5, 6, 8, 6, 3, 2, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 7, 7, 6, 4, 2, 3, 4, 5, 5, 5, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 6, 6, 7, 7, 7, 7, 4, 3, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 8, 9, 9, 7, 5, 5, 7, 8, 4, 8, 8, 4, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 2, 2, 3, 3, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 5, 7, 7, 6, 4, 5, 4, 3, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 5, 7, 7, 5, 3, 5, 6, 7, 5, 3, 3, 4, 6, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 5, 4, 6, 8, 6, 5, 4, 3, 3, 3, 3, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 5, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 4, 6, 6, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 6, 6, 5, 3, 3, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 11, 4, 1, 2, 4, 2, 2, 3, 5, 6, 7, 6, 4, 3, 4, 5, 5, 6, 9, 11, 7, 1, 1, 4, 6, 5, 4, 4, 6, 6, 5, 4, 1, 3, 4, 4, 3, 3, 5, 6, 6, 6, 7, 9, 11, 10, 6, 3, 4, 4, 4, 4, 4, 4, 4, 4, 11, 10, 10, 9, 8, 7, 6, 6, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 5, 4, 4, 7, 9, 7, 7, 6, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 4, 5, 5, 7, 5, 4, 5, 6, 7, 6, 4, 4, 4, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 3, 3, 3, 3, 5, 6, 8, 9, 9, 7, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 3, 1, 2, 6, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 10, 15, 14, 8, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 5, 9, 7, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 14, 7, 19, 1, 0, 10, 0, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 2, 3, 7, 9, 8, 6, 4, 3, 3, 4, 5, 5, 2, 0, 4, 8, 11, 9, 5, 3, 5, 9, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 6, 7, 1, 0, 0, 0, 3, 4, 4, 5, 5, 6, 6, 7, 4, 3, 3, 4, 6, 7, 7, 6, 21, 11, 0, 0, 0, 4, 11, 14, 7, 6, 5, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 5, 6, 7, 8, 8, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 5, 6, 7, 8, 10, 7, 4, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 6, 5, 5, 6, 8, 9, 7, 4, 2, 2, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 3, 3, 3, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 6, 4, 4, 5, 7, 4, 9, 9, 4, 2, 5, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 7, 6, 5, 5, 5, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 7, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 5, 7, 7, 5, 3, 6, 7, 7, 5, 3, 3, 4, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 5, 11, 20, 27, 8, 7, 6, 4, 3, 3, 5, 7, 4, 5, 6, 7, 7, 5, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 5, 6, 7, 6, 6, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 3, 3, 4, 4, 4, 4, 4, 5, 8, 7, 6, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 5, 2, 8, 18, 12, 0, 0, 7, 5, 6, 7, 6, 4, 3, 4, 5, 7, 4, 5, 8, 7, 2, 3, 8, 7, 5, 3, 4, 6, 7, 5, 3, 1, 3, 4, 4, 3, 2, 3, 5, 4, 5, 6, 8, 10, 9, 5, 2, 3, 3, 4, 4, 5, 6, 6, 7, 8, 8, 8, 7, 6, 6, 5, 5, 5, 5, 4, 5, 5, 6, 6, 7, 7, 7, 7, 5, 3, 4, 7, 9, 6, 6, 5, 5, 5, 6, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 7, 6, 5, 5, 7, 7, 6, 5, 6, 6, 6, 6, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 7, 7, 8, 9, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 8, 6, 6, 9, 8, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 10, 9, 5, 3, 4, 3, 3, 4, 5, 5, 5, 4, 4, 6, 6, 5, 4, 3, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 25, 15, 12, 7, 3, 11, 0, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 3, 1, 4, 9, 11, 8, 5, 5, 3, 1, 2, 5, 6, 5, 3, 8, 8, 9, 8, 7, 7, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 0, 4, 13, 4, 5, 17, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 4, 6, 8, 7, 6, 88, 34, 0, 11, 18, 1, 0, 7, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 2, 1, 3, 5, 7, 9, 10, 11, 10, 10, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 5, 6, 7, 9, 10, 11, 8, 4, 3, 4, 6, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 10, 8, 6, 4, 4, 6, 8, 10, 7, 4, 2, 2, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 3, 3, 3, 3, 4, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 7, 7, 5, 3, 2, 4, 6, 1, 7, 8, 2, 0, 3, 3, 0, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 8, 7, 5, 4, 4, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 5, 6, 6, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 5, 7, 7, 5, 3, 6, 7, 7, 5, 3, 2, 4, 6, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 3, 8, 21, 38, 50, 10, 10, 8, 6, 4, 4, 7, 9, 3, 5, 7, 9, 8, 6, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 4, 5, 7, 8, 9, 7, 5, 4, 3, 3, 4, 5, 6, 6, 5, 4, 4, 5, 5, 6, 5, 5, 5, 6, 6, 7, 7, 8, 9, 8, 6, 5, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 1, 6, 26, 45, 33, 4, 0, 13, 5, 6, 7, 6, 4, 3, 4, 5, 11, 4, 1, 5, 8, 6, 8, 13, 7, 5, 3, 4, 6, 7, 5, 3, 2, 3, 4, 4, 2, 1, 3, 4, 3, 3, 5, 7, 9, 8, 4, 1, 3, 3, 4, 5, 7, 8, 9, 9, 6, 6, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 4, 2, 1, 2, 5, 7, 5, 5, 5, 5, 6, 7, 8, 8, 8, 7, 7, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 2, 3, 5, 6, 6, 5, 3, 2, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 7, 6, 5, 5, 7, 7, 6, 5, 8, 8, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 4, 6, 6, 8, 8, 8, 8, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 5, 3, 1, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 11, 9, 7, 5, 4, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 8, 10, 7, 6, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 1, 0, 2, 5, 2, 2, 6, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 4, 3, 3, 3, 3, 4, 7, 7, 7, 7, 7, 7, 7, 7, 6, 9, 0, 20, 6, 6, 2, 11, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 5, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 2, 2, 5, 10, 12, 8, 4, 7, 3, 0, 0, 4, 8, 9, 9, 8, 5, 2, 3, 8, 11, 10, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 11, 0, 1, 7, 0, 1, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 3, 2, 4, 6, 8, 7, 6, 47, 25, 5, 1, 2, 1, 3, 8, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 2, 3, 11, 4, 0, 9, 2, 16, 0, 18, 2, 1, 0, 14, 3, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 7, 6, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 8, 8, 6, 4, 2, 6, 5, 5, 4, 4, 5, 5, 6, 6, 4, 6, 9, 12, 12, 0, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 5, 5, 6, 7, 4, 3, 6, 4, 0, 10, 18, 10, 6, 6, 4, 3, 3, 3, 3, 3, 7, 6, 4, 3, 3, 4, 6, 7, 5, 6, 7, 8, 7, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 7, 5, 3, 4, 6, 7, 5, 3, 3, 4, 4, 5, 5, 4, 4, 3, 2, 2, 3, 4, 4, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 0, 0, 4, 14, 11, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 8, 8, 7, 5, 4, 4, 5, 7, 8, 5, 4, 4, 5, 7, 7, 5, 3, 6, 5, 5, 4, 5, 6, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 3, 3, 3, 4, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 6, 4, 3, 4, 7, 8, 5, 2, 1, 5, 17, 26, 18, 2, 0, 8, 6, 6, 6, 6, 7, 8, 9, 9, 15, 5, 2, 7, 8, 1, 1, 6, 8, 8, 7, 6, 4, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 2, 3, 4, 6, 7, 8, 8, 5, 5, 5, 6, 6, 7, 7, 7, 8, 6, 4, 2, 1, 2, 4, 5, 6, 5, 4, 3, 4, 5, 7, 8, 2, 6, 9, 6, 1, 0, 2, 6, 3, 3, 4, 3, 3, 5, 8, 10, 10, 8, 5, 3, 2, 4, 7, 8, 7, 6, 5, 5, 5, 6, 7, 7, 2, 5, 7, 7, 6, 4, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 7, 9, 11, 10, 8, 5, 2, 3, 3, 3, 4, 4, 5, 5, 5, 1, 3, 9, 12, 0, 27, 70, 18, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 6, 6, 5, 5, 5, 7, 7, 8, 6, 4, 4, 5, 7, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 5, 6, 6, 6, 6, 6, 3, 9, 6, 0, 4, 4, 3, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 4, 5, 5, 4, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 5, 3, 2, 2, 3, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 8, 8, 7, 6, 5, 5, 5, 5, 5, 6, 9, 10, 5, 0, 3, 10, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 14, 12, 9, 6, 5, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 8, 6, 4, 4, 6, 7, 7, 6, 6, 7, 7, 6, 5, 4, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 7, 7, 7, 7, 7, 2, 3, 3, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 2, 0, 13, 27, 20, 4, 3, 3, 4, 4, 6, 6, 7, 7, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 5, 3, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 5, 5, 5, 7, 8, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 9, 10, 8, 8, 11, 10, 9, 7, 5, 4, 4, 5, 5, 8, 7, 5, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 12, 6, 1, 5, 5, 8, 16, 10, 4, 0, 14, 6, 5, 0, 14, 3, 6, 5, 4, 4, 6, 6, 5, 4, 3, 5, 6, 6, 4, 4, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 15, 4, 0, 0, 3, 0, 0, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 0, 0, 4, 6, 5, 17, 26, 20, 7, 7, 6, 5, 4, 4, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 7, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 5, 3, 4, 6, 7, 5, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 6, 9, 6, 3, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 5, 5, 5, 6, 5, 5, 5, 5, 6, 7, 8, 6, 5, 4, 3, 3, 4, 5, 6, 5, 4, 4, 5, 7, 7, 5, 3, 5, 4, 4, 3, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 5, 7, 7, 5, 2, 3, 4, 11, 18, 13, 2, 3, 12, 7, 7, 6, 6, 6, 7, 8, 8, 10, 4, 2, 5, 7, 7, 8, 11, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 6, 4, 2, 2, 2, 4, 5, 5, 4, 4, 4, 4, 5, 5, 6, 2, 3, 4, 5, 6, 7, 7, 7, 4, 6, 7, 6, 4, 4, 8, 11, 16, 14, 12, 9, 8, 9, 10, 10, 4, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 6, 5, 4, 4, 5, 4, 4, 5, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 8, 9, 8, 6, 4, 3, 2, 2, 3, 4, 5, 5, 6, 6, 7, 2, 4, 14, 0, 10, 39, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 6, 7, 7, 5, 3, 3, 4, 6, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 1, 4, 9, 2, 12, 16, 15, 0, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 4, 5, 5, 5, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 5, 3, 2, 2, 3, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 5, 4, 4, 4, 7, 7, 6, 5, 5, 5, 6, 6, 9, 3, 0, 2, 3, 4, 6, 11, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 5, 6, 8, 9, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 6, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 7, 7, 7, 6, 6, 2, 3, 3, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 10, 6, 1, 5, 13, 9, 0, 3, 3, 4, 5, 5, 6, 7, 7, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 3, 8, 8, 6, 5, 8, 9, 7, 6, 4, 4, 4, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 0, 6, 16, 14, 5, 0, 0, 0, 11, 3, 12, 6, 4, 0, 11, 4, 6, 5, 4, 4, 6, 6, 5, 4, 2, 4, 6, 5, 5, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 8, 8, 8, 8, 8, 8, 8, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 2, 1, 2, 4, 6, 8, 6, 5, 5, 4, 4, 5, 5, 6, 2, 0, 17, 18, 0, 20, 39, 0, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 2, 7, 8, 4, 12, 20, 14, 8, 7, 6, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 6, 7, 2, 3, 3, 3, 3, 4, 4, 4, 5, 4, 3, 3, 3, 3, 4, 5, 6, 5, 4, 4, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 3, 3, 6, 6, 7, 7, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 0, 2, 6, 7, 4, 0, 2, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 7, 8, 5, 4, 3, 3, 3, 3, 4, 5, 5, 4, 4, 5, 7, 7, 5, 3, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 7, 3, 4, 9, 8, 3, 6, 14, 8, 7, 7, 6, 6, 6, 6, 7, 8, 8, 4, 0, 1, 6, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 7, 6, 4, 3, 3, 2, 5, 5, 5, 5, 6, 6, 6, 7, 7, 5, 4, 2, 2, 3, 4, 5, 4, 4, 4, 5, 5, 4, 3, 3, 5, 2, 0, 4, 9, 11, 9, 5, 5, 8, 11, 8, 4, 3, 7, 12, 12, 11, 10, 9, 7, 6, 5, 4, 2, 3, 5, 5, 5, 4, 3, 2, 5, 6, 6, 5, 4, 3, 5, 7, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 2, 2, 3, 4, 5, 6, 6, 7, 11, 2, 0, 15, 7, 0, 8, 0, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 6, 7, 7, 5, 3, 3, 4, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 6, 5, 5, 6, 0, 8, 56, 15, 0, 0, 25, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 4, 5, 6, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 3, 2, 2, 3, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 12, 11, 10, 8, 6, 5, 3, 3, 6, 6, 5, 5, 5, 6, 7, 7, 29, 15, 2, 2, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 1, 2, 2, 3, 4, 5, 6, 7, 2, 3, 5, 6, 7, 6, 6, 5, 3, 3, 6, 8, 10, 8, 4, 0, 8, 7, 6, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 10, 10, 3, 0, 3, 3, 0, 3, 3, 4, 5, 5, 6, 7, 7, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 3, 2, 3, 5, 5, 1, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 7, 7, 3, 3, 5, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 6, 6, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 9, 0, 3, 10, 11, 24, 7, 5, 1, 5, 7, 0, 8, 3, 6, 5, 4, 4, 6, 6, 5, 4, 2, 4, 5, 5, 5, 5, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 2, 4, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 16, 9, 9, 0, 0, 0, 20, 0, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 5, 5, 4, 3, 8, 2, 6, 6, 0, 4, 9, 3, 7, 6, 6, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 6, 6, 7, 8, 8, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 10, 2, 0, 5, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 7, 6, 5, 5, 5, 6, 7, 7, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 7, 7, 5, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 4, 10, 3, 1, 4, 5, 4, 6, 11, 9, 8, 7, 6, 5, 5, 5, 5, 6, 10, 7, 0, 2, 13, 16, 10, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 7, 6, 4, 3, 3, 2, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 3, 3, 3, 4, 5, 3, 4, 5, 6, 5, 4, 2, 1, 8, 5, 3, 4, 7, 8, 5, 1, 4, 9, 12, 9, 4, 1, 5, 10, 5, 5, 6, 5, 4, 3, 1, 0, 3, 4, 6, 7, 7, 5, 3, 1, 6, 6, 6, 4, 3, 3, 5, 8, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 4, 0, 10, 14, 2, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 8, 7, 5, 4, 6, 7, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 6, 6, 6, 5, 4, 0, 6, 34, 135, 52, 30, 0, 20, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 5, 6, 5, 4, 5, 5, 5, 4, 5, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 9, 8, 6, 5, 4, 3, 5, 5, 5, 5, 6, 7, 8, 8, 33, 18, 6, 4, 7, 6, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 2, 1, 2, 5, 7, 8, 7, 6, 4, 4, 6, 9, 13, 15, 12, 6, 1, 18, 15, 12, 8, 6, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 7, 10, 5, 2, 5, 8, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 3, 2, 5, 10, 10, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 4, 7, 7, 3, 2, 4, 4, 4, 3, 3, 4, 4, 4, 5, 2, 3, 5, 6, 7, 7, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 19, 5, 2, 0, 12, 18, 1, 19, 45, 37, 4, 10, 12, 4, 8, 2, 6, 5, 4, 4, 6, 6, 5, 4, 3, 4, 6, 6, 4, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 0, 8, 0, 2, 41, 4, 12, 29, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 4, 4, 6, 7, 5, 3, 2, 0, 1, 5, 0, 3, 9, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 8, 8, 7, 7, 6, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 13, 8, 5, 6, 7, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 7, 7, 6, 5, 5, 5, 6, 7, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 7, 7, 5, 3, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 9, 4, 2, 4, 6, 4, 3, 3, 8, 7, 6, 5, 5, 5, 5, 5, 3, 8, 7, 4, 10, 23, 27, 23, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 3, 4, 4, 4, 5, 3, 4, 5, 6, 6, 5, 3, 2, 7, 7, 6, 4, 4, 3, 3, 3, 4, 7, 10, 8, 3, 1, 3, 6, 4, 5, 7, 8, 8, 7, 6, 5, 4, 6, 7, 8, 8, 6, 4, 2, 6, 6, 6, 4, 3, 3, 5, 8, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 3, 5, 6, 8, 8, 7, 6, 5, 3, 3, 2, 4, 8, 5, 0, 10, 11, 3, 10, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 8, 6, 6, 7, 9, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 6, 6, 6, 5, 4, 4, 15, 8, 0, 30, 0, 16, 6, 1, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 5, 6, 6, 5, 6, 6, 5, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 10, 4, 0, 2, 5, 4, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 1, 3, 5, 7, 8, 7, 5, 4, 4, 6, 9, 13, 15, 12, 6, 1, 18, 15, 12, 8, 6, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 5, 4, 3, 2, 3, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 5, 6, 9, 10, 8, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 8, 5, 5, 9, 15, 16, 12, 7, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 10, 8, 7, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 5, 8, 7, 3, 2, 4, 3, 3, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 7, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 5, 5, 5, 5, 4, 4, 3, 2, 17, 8, 10, 12, 17, 82, 185, 143, 43, 16, 4, 0, 7, 8, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 0, 17, 8, 0, 3, 54, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 5, 3, 5, 9, 10, 8, 6, 9, 1, 4, 9, 2, 2, 5, 2, 4, 3, 3, 3, 3, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 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5, 5, 3, 2, 2, 3, 4, 4, 3, 2, 2, 4, 5, 5, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 5, 4, 3, 3, 5, 6, 6, 5, 5, 7, 9, 3, 6, 10, 9, 6, 5, 6, 8, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 4, 5, 5, 6, 7, 7, 7, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 4, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 1, 2, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 1, 3, 5, 5, 4, 4, 6, 8, 7, 6, 5, 5, 5, 5, 6, 7, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 4, 3, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 6, 7, 6, 4, 3, 5, 5, 4, 4, 4, 3, 3, 3, 6, 6, 5, 5, 5, 5, 6, 6, 3, 14, 0, 5, 1, 0, 16, 0, 6, 6, 5, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 8, 9, 10, 9, 7, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 4, 9, 13, 11, 6, 2, 3, 6, 6, 5, 5, 5, 5, 7, 9, 11, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 5, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 6, 2, 1, 4, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 7, 7, 7, 6, 5, 5, 5, 5, 4, 3, 3, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 9, 3, 1, 3, 7, 3, 3, 3, 4, 5, 6, 8, 8, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 6, 6, 7, 6, 6, 6, 0, 2, 2, 0, 1, 6, 9, 8, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 4, 2, 3, 5, 4, 2, 3, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 8, 9, 9, 8, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 9, 43, 25, 6, 5, 0, 3, 0, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 3, 2, 7, 7, 6, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 7, 7, 6, 6, 5, 5, 5, 7, 3, 15, 6, 0, 4, 7, 4, 3, 6, 9, 5, 1, 7, 9, 1, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 4, 4, 4, 5, 7, 8, 7, 7, 6, 4, 4, 3, 4, 4, 2, 3, 4, 5, 5, 5, 4, 3, 4, 4, 3, 3, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 0, 9, 0, 3, 11, 0, 7, 11, 8, 6, 9, 12, 8, 1, 1, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 2, 2, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 8, 10, 11, 9, 7, 4, 4, 5, 4, 4, 5, 5, 6, 6, 6, 6, 7, 5, 3, 3, 4, 6, 6, 6, 7, 6, 5, 4, 4, 5, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 6, 3, 4, 8, 9, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 8, 9, 8, 7, 7, 6, 7, 7, 5, 2, 2, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 9, 3, 1, 3, 7, 3, 3, 3, 4, 5, 6, 8, 8, 6, 6, 5, 5, 5, 4, 4, 4, 2, 3, 4, 5, 5, 5, 5, 5, 9, 11, 9, 4, 3, 6, 6, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 3, 3, 4, 2, 3, 5, 3, 1, 4, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 4, 4, 4, 4, 4, 4, 3, 5, 5, 4, 4, 5, 5, 6, 7, 3, 3, 3, 4, 4, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 0, 109, 33, 9, 0, 4, 12, 9, 5, 5, 6, 7, 7, 6, 6, 5, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 3, 2, 8, 7, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 7, 7, 6, 6, 5, 5, 5, 0, 1, 18, 3, 1, 19, 10, 7, 6, 2, 10, 10, 0, 4, 11, 4, 5, 5, 5, 5, 5, 5, 4, 4, 7, 7, 7, 6, 6, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4, 4, 6, 8, 11, 13, 7, 7, 6, 5, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 4, 5, 5, 5, 5, 5, 9, 2, 9, 11, 0, 4, 8, 2, 4, 8, 11, 8, 2, 2, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 7, 8, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 6, 7, 8, 8, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 3, 5, 4, 3, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 5, 4, 3, 4, 4, 5, 5, 5, 5, 4, 3, 6, 6, 4, 2, 0, 2, 6, 9, 7, 7, 6, 4, 3, 4, 7, 9, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 7, 6, 5, 5, 4, 5, 5, 6, 7, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 9, 7, 5, 4, 5, 7, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 7, 7, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 7, 5, 3, 3, 6, 8, 9, 8, 6, 6, 7, 8, 8, 7, 6, 6, 5, 5, 5, 5, 6, 6, 6, 7, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 5, 5, 9, 7, 4, 2, 1, 1, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 6, 7, 7, 8, 8, 6, 5, 5, 5, 4, 4, 4, 4, 6, 4, 3, 2, 2, 3, 4, 6, 9, 0, 15, 6, 0, 7, 4, 13, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 3, 5, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 7, 9, 10, 9, 6, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 10, 5, 0, 0, 5, 9, 10, 8, 7, 6, 5, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 5, 6, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 2, 5, 7, 6, 9, 15, 17, 16, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 8, 8, 7, 7, 5, 7, 8, 7, 3, 2, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 9, 7, 4, 2, 4, 6, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 4, 4, 4, 3, 1, 2, 3, 4, 5, 5, 5, 5, 7, 10, 9, 5, 4, 7, 8, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 4, 3, 2, 1, 4, 3, 4, 5, 3, 1, 5, 12, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 7, 5, 3, 2, 2, 3, 5, 7, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 3, 2, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 6, 7, 7, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 6, 5, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 54, 178, 75, 43, 6, 9, 1, 0, 5, 6, 7, 7, 8, 8, 7, 7, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 5, 4, 3, 3, 7, 5, 4, 4, 5, 5, 3, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 5, 5, 5, 5, 6, 6, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 1, 11, 0, 9, 23, 5, 26, 26, 2, 4, 10, 0, 2, 12, 7, 4, 5, 5, 5, 5, 4, 3, 3, 9, 10, 11, 9, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 7, 9, 12, 14, 6, 6, 5, 5, 5, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 7, 5, 4, 4, 6, 7, 7, 6, 8, 6, 7, 9, 6, 3, 5, 7, 2, 6, 8, 5, 3, 5, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 8, 9, 7, 6, 8, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 7, 5, 3, 3, 4, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 3, 1, 3, 5, 4, 3, 5, 4, 5, 6, 6, 6, 6, 5, 4, 5, 6, 6, 7, 6, 6, 5, 4, 3, 4, 4, 5, 5, 5, 4, 3, 5, 5, 6, 4, 2, 1, 3, 5, 8, 6, 4, 5, 7, 10, 11, 11, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 7, 8, 8, 7, 6, 4, 3, 3, 4, 5, 5, 8, 7, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 7, 5, 4, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 7, 7, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 7, 4, 3, 7, 13, 14, 9, 3, 4, 6, 8, 10, 10, 8, 6, 4, 5, 5, 5, 6, 6, 6, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 9, 5, 0, 5, 0, 12, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 5, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 7, 8, 7, 5, 4, 4, 4, 3, 4, 5, 6, 7, 6, 5, 5, 8, 6, 3, 3, 5, 6, 7, 7, 4, 5, 6, 6, 7, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 4, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 3, 6, 7, 6, 8, 14, 16, 14, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 5, 6, 6, 6, 3, 7, 10, 9, 4, 2, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 2, 3, 4, 5, 6, 6, 6, 6, 0, 4, 4, 2, 3, 7, 8, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 5, 5, 4, 4, 4, 4, 5, 6, 3, 1, 6, 14, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 3, 3, 3, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 5, 6, 6, 5, 4, 3, 6, 5, 5, 5, 5, 6, 7, 8, 6, 6, 6, 6, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 0, 57, 9, 10, 0, 10, 4, 13, 4, 5, 6, 7, 7, 7, 7, 7, 4, 5, 7, 9, 9, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 6, 4, 3, 4, 6, 6, 4, 1, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 6, 5, 5, 5, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 9, 2, 9, 0, 9, 14, 27, 122, 67, 16, 1, 11, 1, 2, 11, 3, 4, 5, 5, 6, 5, 4, 3, 2, 6, 8, 9, 7, 4, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 6, 7, 8, 9, 5, 5, 4, 5, 5, 7, 8, 9, 7, 6, 5, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 4, 3, 4, 7, 9, 8, 7, 2, 0, 6, 4, 0, 6, 8, 7, 21, 25, 17, 1, 0, 8, 9, 0, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 4, 6, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 7, 7, 7, 7, 6, 6, 4, 10, 12, 6, 3, 5, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 8, 8, 5, 3, 3, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 18, 8, 1, 3, 7, 5, 3, 3, 3, 4, 5, 5, 5, 5, 4, 3, 4, 5, 6, 7, 7, 7, 6, 6, 3, 3, 4, 5, 5, 5, 4, 4, 1, 4, 7, 8, 7, 5, 5, 5, 5, 2, 1, 3, 7, 9, 7, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 7, 8, 9, 7, 6, 4, 3, 2, 2, 3, 4, 8, 7, 5, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 9, 10, 9, 8, 5, 4, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 8, 5, 3, 3, 10, 19, 18, 9, 0, 3, 5, 9, 11, 11, 9, 5, 3, 5, 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8, 8, 8, 9, 11, 9, 4, 2, 4, 2, 0, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 7, 4, 1, 7, 16, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 3, 2, 3, 5, 7, 9, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 5, 5, 5, 6, 7, 8, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 3, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 15, 3, 5, 18, 4, 12, 0, 6, 3, 3, 5, 6, 6, 6, 6, 6, 5, 6, 8, 10, 10, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 5, 4, 5, 3, 2, 3, 6, 7, 4, 1, 4, 4, 4, 5, 5, 6, 6, 7, 8, 8, 7, 6, 5, 5, 5, 5, 2, 3, 3, 4, 4, 5, 5, 5, 4, 0, 13, 2, 10, 14, 73, 246, 106, 33, 3, 12, 5, 3, 8, 0, 4, 5, 5, 6, 5, 4, 2, 1, 2, 5, 8, 8, 6, 5, 6, 9, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 9, 10, 9, 8, 6, 5, 4, 3, 3, 3, 3, 2, 2, 2, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 4, 2, 3, 7, 10, 9, 7, 7, 3, 12, 4, 0, 7, 8, 3, 44, 46, 29, 2, 0, 10, 10, 0, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 4, 6, 9, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 7, 8, 8, 8, 8, 7, 6, 3, 11, 13, 6, 0, 3, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 6, 9, 8, 5, 3, 3, 4, 7, 5, 4, 2, 2, 3, 4, 5, 3, 4, 6, 7, 7, 6, 4, 3, 27, 13, 2, 4, 9, 7, 3, 2, 2, 3, 3, 4, 4, 3, 3, 2, 4, 4, 5, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 6, 3, 2, 4, 7, 8, 9, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 4, 5, 5, 5, 3, 1, 8, 5, 2, 1, 2, 4, 5, 5, 8, 6, 3, 2, 3, 4, 4, 3, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 5, 5, 5, 6, 7, 7, 2, 3, 3, 4, 4, 5, 5, 5, 1, 3, 5, 5, 5, 5, 7, 8, 3, 3, 3, 5, 7, 8, 7, 5, 8, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 3, 1, 1, 3, 5, 3, 4, 4, 5, 5, 6, 6, 7, 2, 3, 5, 5, 5, 5, 3, 2, 5, 5, 5, 4, 4, 3, 3, 2, 5, 0, 1, 9, 9, 2, 3, 11, 24, 2, 8, 14, 2, 12, 21, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 5, 3, 3, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 9, 7, 5, 6, 7, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 5, 7, 7, 5, 3, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 7, 9, 7, 2, 2, 6, 11, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 5, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 8, 12, 7, 0, 7, 3, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 5, 5, 5, 4, 4, 9, 6, 3, 3, 5, 6, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 8, 7, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 0, 1, 5, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 5, 6, 5, 4, 2, 1, 8, 7, 6, 6, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 8, 10, 11, 11, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 7, 8, 8, 7, 5, 4, 6, 5, 3, 2, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 5, 6, 6, 2, 5, 5, 1, 1, 4, 7, 6, 4, 4, 4, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 5, 3, 3, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 7, 7, 6, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 16, 4, 0, 7, 12, 8, 7, 12, 6, 6, 7, 8, 7, 6, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 18, 9, 1, 5, 5, 49, 129, 55, 28, 6, 4, 7, 5, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 8, 8, 6, 5, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 4, 5, 7, 8, 8, 7, 5, 4, 7, 6, 6, 5, 5, 6, 6, 7, 10, 11, 12, 11, 8, 5, 4, 4, 6, 6, 5, 5, 5, 6, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 6, 2, 2, 6, 8, 6, 6, 9, 2, 5, 5, 2, 4, 9, 11, 10, 4, 5, 7, 8, 8, 7, 5, 4, 6, 3, 1, 4, 9, 10, 7, 2, 2, 3, 3, 4, 4, 5, 5, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 6, 5, 3, 4, 8, 7, 2, 6, 5, 5, 4, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 7, 8, 8, 15, 21, 18, 9, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 6, 7, 7, 5, 3, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 7, 6, 6, 5, 5, 5, 6, 5, 6, 7, 8, 8, 7, 6, 6, 4, 2, 2, 3, 5, 6, 5, 7, 5, 3, 3, 4, 5, 4, 3, 7, 7, 7, 6, 6, 5, 5, 5, 7, 7, 6, 5, 5, 5, 6, 6, 3, 3, 4, 4, 5, 5, 6, 6, 3, 4, 5, 5, 5, 5, 7, 10, 5, 4, 3, 5, 6, 7, 6, 4, 7, 7, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 5, 6, 6, 4, 3, 4, 6, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 5, 6, 6, 5, 4, 3, 7, 7, 6, 6, 5, 5, 5, 4, 8, 2, 1, 5, 3, 2, 14, 31, 88, 15, 0, 15, 16, 11, 13, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 7, 8, 8, 8, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 4, 4, 5, 5, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 4, 4, 4, 5, 5, 6, 5, 5, 6, 8, 8, 6, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 7, 9, 6, 3, 2, 6, 10, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 3, 4, 4, 5, 5, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 6, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 0, 0, 15, 11, 7, 5, 17, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 7, 7, 9, 6, 3, 3, 5, 6, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 7, 7, 5, 3, 7, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 3, 4, 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5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 34, 142, 39, 17, 2, 0, 22, 7, 6, 6, 5, 5, 6, 6, 7, 4, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 6, 7, 8, 8, 5, 5, 5, 4, 4, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 3, 4, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 6, 3, 3, 6, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 5, 4, 2, 2, 3, 4, 5, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 8, 7, 6, 5, 4, 4, 2, 2, 3, 3, 4, 5, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 6, 7, 7, 6, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 2, 4, 6, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 4, 4, 4, 4, 3, 4, 3, 1, 3, 6, 4, 0, 6, 6, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 4, 2, 3, 5, 6, 7, 6, 5, 5, 6, 6, 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5, 5, 4, 4, 6, 8, 7, 4, 6, 9, 8, 4, 8, 7, 7, 6, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 7, 5, 5, 8, 8, 6, 6, 9, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 22, 17, 12, 8, 6, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 3, 3, 3, 4, 4, 5, 5, 5, 4, 8, 11, 10, 6, 4, 5, 8, 10, 8, 5, 4, 5, 6, 5, 4, 8, 6, 5, 5, 6, 7, 6, 5, 7, 7, 7, 6, 6, 5, 5, 5, 7, 7, 6, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 3, 3, 2, 5, 8, 8, 7, 5, 4, 4, 10, 7, 4, 2, 3, 5, 5, 4, 4, 4, 5, 5, 6, 6, 7, 7, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 3, 5, 6, 5, 4, 3, 4, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 3, 4, 5, 6, 2, 2, 3, 3, 4, 4, 4, 5, 6, 5, 3, 3, 5, 8, 9, 8, 5, 4, 3, 9, 15, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 4, 6, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 4, 4, 4, 5, 5, 4, 3, 3, 4, 5, 6, 4, 2, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 5, 6, 5, 4, 2, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 8, 7, 6, 5, 4, 3, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 20, 21, 77, 29, 29, 18, 0, 0, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 6, 6, 6, 6, 6, 6, 3, 5, 6, 5, 3, 3, 6, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 7, 7, 5, 3, 4, 4, 4, 4, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 4, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 7, 6, 5, 3, 2, 3, 4, 6, 7, 7, 6, 4, 3, 6, 7, 7, 7, 7, 6, 5, 4, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 2, 2, 7, 6, 6, 5, 5, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 7, 7, 5, 5, 4, 5, 10, 15, 12, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 8, 7, 6, 5, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 6, 7, 6, 4, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 4, 5, 5, 7, 7, 8, 6, 6, 5, 4, 5, 6, 7, 8, 4, 4, 6, 6, 6, 6, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 14, 2, 0, 0, 1, 7, 12, 10, 4, 6, 7, 6, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 8, 9, 8, 7, 6, 5, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 4, 4, 4, 4, 4, 4, 5, 3, 3, 2, 2, 2, 2, 3, 3, 3, 5, 7, 8, 7, 7, 8, 9, 5, 5, 4, 3, 3, 3, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 9, 4, 4, 10, 14, 12, 9, 9, 5, 8, 9, 6, 6, 7, 6, 2, 7, 6, 5, 4, 4, 5, 6, 7, 5, 5, 5, 4, 3, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 7, 6, 3, 5, 8, 7, 3, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 3, 4, 7, 7, 4, 5, 10, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 10, 7, 4, 3, 4, 6, 6, 5, 7, 6, 6, 5, 5, 6, 6, 7, 3, 3, 3, 4, 4, 5, 5, 5, 21, 24, 25, 21, 14, 9, 9, 11, 13, 9, 5, 3, 4, 5, 5, 4, 11, 8, 5, 4, 5, 6, 6, 5, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 5, 5, 5, 6, 7, 7, 5, 5, 5, 4, 4, 3, 3, 2, 1, 4, 8, 9, 7, 5, 3, 2, 9, 6, 3, 2, 3, 5, 6, 5, 5, 5, 5, 6, 6, 7, 7, 8, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 5, 3, 3, 5, 7, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 3, 2, 2, 3, 5, 5, 2, 3, 3, 4, 4, 5, 5, 5, 0, 5, 9, 8, 5, 5, 4, 3, 0, 8, 4, 0, 4, 9, 11, 17, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 5, 6, 6, 6, 6, 6, 3, 3, 4, 4, 3, 3, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 2, 2, 3, 5, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 5, 7, 7, 5, 3, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 5, 6, 6, 4, 2, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 5, 7, 7, 8, 8, 8, 7, 6, 5, 4, 3, 8, 8, 7, 6, 4, 3, 2, 2, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 18, 6, 1, 7, 6, 0, 1, 11, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 7, 8, 8, 7, 5, 4, 8, 8, 7, 7, 7, 7, 7, 6, 2, 5, 6, 5, 3, 3, 6, 9, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 4, 5, 7, 7, 5, 3, 5, 4, 3, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 11, 7, 4, 4, 6, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 8, 6, 4, 2, 1, 3, 4, 6, 7, 7, 6, 4, 3, 3, 4, 5, 6, 5, 4, 2, 1, 8, 7, 6, 6, 4, 4, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 5, 4, 3, 3, 7, 7, 6, 5, 3, 2, 1, 1, 7, 6, 6, 5, 5, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 8, 7, 5, 4, 4, 5, 7, 8, 8, 7, 5, 4, 4, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 7, 8, 8, 2, 3, 2, 3, 9, 14, 11, 4, 7, 7, 5, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 5, 6, 6, 6, 6, 6, 10, 8, 6, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 7, 7, 6, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 7, 5, 3, 3, 3, 2, 10, 8, 6, 5, 4, 4, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 0, 6, 12, 2, 0, 5, 9, 2, 5, 6, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 3, 4, 5, 6, 7, 8, 8, 6, 5, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 6, 12, 16, 10, 9, 7, 6, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 4, 3, 4, 3, 1, 2, 6, 3, 6, 7, 4, 4, 5, 3, 0, 6, 5, 3, 2, 2, 3, 5, 6, 3, 6, 8, 8, 6, 4, 3, 2, 4, 5, 5, 6, 6, 7, 7, 8, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 5, 3, 4, 8, 7, 2, 2, 2, 3, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 1, 2, 7, 6, 3, 5, 11, 2, 3, 5, 6, 6, 5, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 7, 9, 9, 7, 5, 4, 3, 3, 0, 10, 7, 0, 42, 0, 4, 4, 4, 5, 6, 7, 9, 10, 21, 114, 172, 39, 9, 7, 6, 10, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 7, 8, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 9, 8, 7, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 3, 4, 4, 5, 5, 6, 6, 7, 1, 1, 1, 2, 3, 4, 5, 6, 2, 3, 3, 4, 4, 5, 5, 6, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 2, 3, 5, 6, 10, 7, 4, 3, 4, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 9, 7, 5, 5, 5, 5, 3, 1, 3, 4, 5, 6, 7, 8, 8, 8, 8, 7, 6, 6, 4, 4, 3, 2, 0, 10, 4, 5, 14, 0, 1, 10, 0, 10, 0, 3, 9, 1, 6, 5, 6, 5, 4, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 7, 8, 8, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 7, 7, 6, 5, 4, 4, 10, 18, 20, 12, 6, 7, 9, 9, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 6, 5, 3, 2, 3, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 3, 3, 3, 4, 4, 5, 5, 5, 9, 6, 4, 4, 6, 6, 4, 1, 8, 5, 2, 3, 5, 7, 5, 3, 9, 4, 7, 15, 0, 11, 7, 13, 6, 6, 6, 6, 6, 6, 6, 7, 2, 3, 3, 4, 4, 3, 3, 2, 4, 5, 7, 10, 12, 10, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 5, 6, 8, 9, 8, 7, 5, 5, 5, 5, 7, 8, 5, 7, 9, 10, 9, 8, 5, 4, 3, 5, 7, 9, 9, 7, 5, 3, 7, 7, 7, 6, 6, 5, 5, 5, 1, 3, 6, 8, 9, 7, 5, 3, 3, 3, 3, 4, 4, 5, 5, 5, 8, 10, 8, 11, 14, 4, 2, 17, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 7, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 6, 5, 3, 2, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 3, 2, 11, 8, 5, 4, 6, 7, 5, 2, 6, 6, 6, 4, 2, 3, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 5, 4, 4, 4, 4, 4, 14, 14, 12, 8, 3, 2, 5, 8, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 7, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 5, 7, 7, 5, 4, 4, 5, 7, 7, 7, 6, 6, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 5, 3, 1, 2, 3, 7, 7, 5, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 1, 6, 9, 4, 6, 10, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 9, 0, 16, 17, 7, 4, 0, 8, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 4, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 8, 8, 6, 5, 3, 8, 3, 0, 0, 5, 0, 3, 7, 4, 4, 4, 5, 6, 7, 8, 9, 37, 94, 138, 35, 18, 4, 0, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 2, 3, 5, 6, 7, 8, 9, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 5, 5, 5, 5, 6, 6, 2, 2, 2, 3, 4, 5, 6, 6, 3, 3, 4, 4, 4, 4, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 4, 5, 5, 7, 5, 3, 2, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 7, 8, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 8, 6, 5, 5, 5, 5, 4, 2, 4, 4, 5, 5, 6, 7, 8, 8, 7, 6, 6, 5, 5, 4, 4, 3, 15, 7, 12, 8, 0, 17, 12, 16, 12, 29, 12, 3, 5, 4, 9, 0, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 3, 4, 4, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 5, 5, 4, 4, 7, 13, 15, 9, 5, 6, 7, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 3, 2, 2, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 3, 3, 3, 4, 4, 5, 5, 5, 7, 5, 3, 4, 6, 7, 5, 3, 8, 5, 3, 3, 5, 7, 6, 4, 15, 1, 1, 15, 12, 21, 13, 0, 5, 5, 5, 6, 6, 6, 6, 6, 2, 3, 3, 4, 4, 3, 3, 2, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 6, 7, 8, 7, 6, 5, 4, 4, 5, 6, 7, 3, 4, 5, 6, 6, 5, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 7, 7, 6, 6, 6, 5, 5, 5, 2, 3, 5, 7, 7, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 9, 13, 4, 0, 3, 3, 0, 0, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 6, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 6, 5, 3, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 11, 8, 5, 4, 6, 6, 5, 3, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 12, 12, 11, 8, 4, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 5, 7, 7, 5, 4, 4, 5, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 4, 4, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 2, 6, 9, 3, 5, 8, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 10, 14, 0, 8, 20, 17, 35, 16, 7, 7, 6, 6, 6, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 5, 4, 3, 0, 7, 12, 8, 5, 15, 22, 2, 5, 5, 5, 5, 6, 7, 8, 8, 0, 14, 47, 0, 14, 4, 0, 13, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 4, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 0, 0, 3, 6, 8, 9, 9, 9, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 7, 5, 5, 4, 4, 4, 4, 3, 3, 4, 6, 7, 8, 8, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 2, 3, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 7, 8, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 5, 4, 4, 4, 4, 4, 7, 5, 4, 4, 6, 6, 5, 3, 5, 5, 4, 4, 4, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 7, 0, 13, 24, 2, 4, 10, 0, 21, 41, 20, 1, 2, 6, 12, 0, 4, 4, 3, 3, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 2, 1, 2, 3, 4, 7, 7, 6, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 5, 5, 4, 4, 5, 7, 7, 4, 3, 5, 5, 3, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 4, 2, 2, 2, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 7, 5, 4, 4, 5, 7, 6, 5, 41, 3, 1, 28, 26, 9, 20, 19, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 3, 3, 7, 7, 5, 3, 1, 5, 13, 20, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 3, 3, 3, 2, 2, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 5, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 4, 4, 4, 5, 5, 0, 10, 5, 0, 12, 23, 16, 9, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 5, 4, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 8, 9, 7, 5, 4, 5, 6, 5, 3, 9, 7, 5, 6, 8, 9, 6, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 6, 7, 6, 5, 4, 3, 9, 10, 10, 8, 5, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 6, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 5, 5, 5, 6, 8, 11, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 2, 6, 8, 2, 4, 9, 3, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 9, 0, 20, 4, 73, 159, 25, 7, 6, 6, 6, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 26, 0, 14, 1, 14, 11, 24, 21, 6, 6, 5, 5, 5, 6, 7, 7, 3, 0, 13, 0, 16, 7, 0, 9, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 8, 9, 9, 7, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 5, 5, 6, 7, 7, 7, 7, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 4, 6, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 5, 4, 4, 4, 4, 6, 4, 3, 4, 6, 7, 6, 4, 6, 5, 3, 2, 3, 5, 7, 9, 4, 5, 5, 5, 5, 5, 5, 6, 16, 2, 0, 6, 23, 0, 32, 12, 15, 31, 12, 1, 3, 4, 10, 2, 7, 7, 6, 5, 4, 4, 4, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 2, 1, 1, 4, 7, 10, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 4, 4, 3, 2, 2, 4, 5, 4, 2, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 4, 3, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 7, 7, 0, 23, 66, 75, 54, 31, 26, 0, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 5, 7, 7, 5, 4, 9, 20, 30, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 7, 5, 3, 2, 2, 3, 4, 7, 6, 5, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 4, 3, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 14, 10, 3, 5, 3, 0, 3, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 8, 7, 6, 5, 8, 7, 5, 4, 4, 5, 5, 4, 8, 5, 3, 6, 11, 13, 8, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 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4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 5, 7, 6, 4, 3, 3, 4, 5, 6, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 6, 7, 8, 8, 9, 8, 8, 8, 8, 7, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 6, 6, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 3, 3, 4, 5, 6, 5, 3, 2, 4, 4, 5, 6, 6, 5, 4, 4, 3, 3, 3, 4, 5, 6, 8, 8, 6, 7, 7, 7, 7, 6, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 4, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 0, 7, 4, 1, 7, 6, 1, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 6, 4, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 5, 6, 7, 5, 3, 2, 3, 5, 5, 5, 4, 5, 5, 4, 2, 2, 4, 6, 15, 15, 13, 11, 12, 14, 8, 0, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 4, 4, 5, 7, 9, 10, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 13, 14, 7, 6, 16, 14, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 3, 3, 8, 5, 4, 9, 2, 5, 8, 7, 4, 1, 3, 6, 5, 4, 4, 4, 4, 5, 6, 7, 5, 6, 6, 6, 6, 5, 3, 2, 10, 8, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 8, 9, 9, 7, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 13, 1, 9, 8, 0, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 4, 3, 4, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 4, 3, 2, 2, 2, 4, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 3, 3, 3, 4, 5, 11, 10, 8, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 6, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 6, 8, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 8, 7, 5, 4, 5, 6, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 8, 8, 8, 8, 9, 9, 6, 6, 5, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 3, 4, 6, 7, 5, 3, 8, 6, 4, 4, 5, 5, 4, 3, 3, 4, 5, 6, 7, 7, 7, 7, 7, 15, 30, 8, 1, 9, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 4, 4, 4, 5, 6, 6, 5, 14, 24, 25, 19, 10, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 7, 6, 6, 5, 5, 8, 7, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 6, 8, 6, 8, 13, 14, 12, 6, 17, 5, 11, 0, 13, 1, 0, 7, 7, 7, 7, 6, 6, 5, 5, 7, 7, 8, 7, 7, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 5, 7, 9, 7, 7, 6, 5, 4, 4, 4, 4, 6, 5, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 5, 7, 6, 4, 3, 4, 5, 6, 7, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 7, 8, 8, 9, 6, 6, 7, 7, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 2, 3, 5, 6, 5, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 3, 3, 3, 4, 5, 6, 8, 8, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 7, 8, 15, 8, 0, 4, 6, 3, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 4, 4, 4, 5, 6, 6, 7, 4, 1, 1, 3, 5, 4, 4, 1, 2, 4, 4, 3, 4, 6, 8, 4, 0, 0, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 7, 9, 11, 7, 6, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 13, 16, 12, 13, 22, 18, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 0, 1, 11, 5, 0, 6, 6, 7, 7, 6, 5, 5, 4, 2, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 5, 4, 3, 3, 12, 8, 3, 1, 1, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 9, 8, 7, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 12, 4, 8, 11, 0, 0, 7, 5, 5, 5, 5, 5, 5, 5, 5, 13, 10, 7, 5, 5, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 5, 5, 4, 4, 5, 5, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 5, 4, 3, 2, 3, 4, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 6, 6, 7, 7, 5, 4, 3, 3, 3, 4, 5, 5, 4, 7, 9, 8, 4, 1, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 6, 8, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 5, 4, 5, 7, 3, 4, 5, 6, 7, 8, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 8, 7, 6, 5, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 2, 3, 5, 6, 5, 3, 4, 3, 3, 4, 6, 7, 6, 5, 4, 5, 6, 7, 7, 7, 7, 6, 12, 0, 2, 2, 2, 11, 2, 12, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 4, 4, 4, 5, 6, 2, 11, 20, 22, 16, 7, 2, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 7, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 6, 3, 3, 6, 6, 3, 12, 6, 0, 5, 22, 12, 21, 7, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 7, 7, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 6, 7, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 4, 4, 5, 5, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 3, 4, 5, 6, 7, 3, 5, 6, 6, 4, 3, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 18, 25, 15, 1, 4, 6, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 6, 4, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 6, 7, 9, 5, 2, 3, 6, 8, 6, 4, 0, 2, 4, 5, 4, 5, 7, 9, 0, 0, 6, 15, 16, 7, 2, 3, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 8, 13, 11, 11, 19, 14, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 9, 6, 13, 29, 14, 0, 4, 8, 10, 9, 6, 6, 8, 6, 1, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 7, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 9, 7, 7, 10, 2, 0, 8, 4, 4, 4, 4, 4, 4, 4, 4, 14, 11, 7, 5, 5, 5, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 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4, 1, 1, 4, 24, 8, 2, 0, 0, 14, 6, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 3, 4, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 4, 5, 5, 6, 7, 7, 7, 6, 6, 5, 4, 4, 4, 4, 5, 6, 4, 4, 4, 4, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 5, 5, 7, 6, 6, 5, 4, 5, 5, 6, 4, 6, 7, 6, 4, 3, 5, 8, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 5, 6, 6, 6, 7, 7, 7, 7, 6, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 6, 7, 7, 7, 7, 6, 6, 5, 4, 3, 3, 4, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 6, 7, 8, 14, 24, 15, 2, 4, 8, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 9, 9, 9, 8, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 6, 4, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 7, 9, 6, 4, 6, 9, 10, 7, 3, 2, 4, 6, 6, 6, 5, 6, 8, 16, 12, 4, 0, 0, 0, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 4, 5, 5, 6, 6, 6, 5, 5, 8, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 7, 7, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 10, 7, 5, 11, 7, 0, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 14, 10, 19, 39, 20, 0, 7, 7, 13, 15, 9, 5, 6, 6, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 4, 4, 5, 5, 6, 6, 4, 4, 5, 7, 9, 8, 6, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 10, 6, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 7, 4, 3, 4, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 6, 7, 8, 8, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 6, 7, 7, 7, 7, 7, 8, 8, 8, 7, 6, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 3, 4, 5, 6, 4, 11, 18, 19, 15, 9, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 2, 2, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 6, 8, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 5, 4, 3, 4, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 2, 3, 5, 6, 6, 5, 3, 3, 3, 5, 7, 8, 6, 4, 7, 7, 7, 7, 6, 5, 4, 3, 2, 5, 11, 19, 3, 14, 0, 14, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 3, 3, 2, 1, 1, 3, 5, 7, 5, 5, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 7, 4, 5, 8, 9, 6, 14, 0, 17, 0, 8, 27, 0, 6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 8, 7, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 2, 3, 3, 4, 4, 5, 5, 5, 3, 3, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 3, 3, 4, 4, 4, 4, 5, 6, 7, 7, 2, 3, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 7, 6, 6, 5, 5, 5, 3, 4, 6, 7, 8, 8, 7, 6, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 3, 3, 2, 3, 4, 5, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 6, 5, 3, 2, 2, 3, 5, 6, 10, 9, 8, 6, 5, 4, 4, 4, 6, 7, 8, 6, 3, 3, 6, 10, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 2, 3, 4, 5, 5, 5, 4, 4, 5, 5, 3, 2, 2, 3, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 6, 7, 8, 3, 15, 10, 0, 4, 9, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 4, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 7, 8, 7, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 5, 5, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 7, 7, 7, 4, 3, 6, 10, 10, 6, 1, 5, 7, 8, 8, 6, 5, 5, 6, 3, 10, 10, 3, 5, 13, 10, 0, 7, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 5, 4, 3, 8, 7, 6, 5, 5, 5, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 4, 5, 5, 6, 6, 7, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 3, 9, 4, 0, 4, 2, 0, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 12, 2, 9, 31, 14, 0, 8, 4, 16, 21, 12, 3, 3, 6, 8, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 5, 6, 7, 7, 10, 7, 3, 2, 2, 2, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 7, 6, 6, 5, 5, 5, 3, 3, 2, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 2, 11, 5, 0, 10, 7, 0, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 1, 1, 3, 5, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 6, 7, 8, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 4, 6, 7, 9, 9, 8, 7, 6, 11, 10, 10, 9, 8, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 4, 6, 6, 0, 4, 11, 11, 7, 2, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 6, 8, 6, 6, 6, 5, 5, 4, 4, 4, 9, 9, 8, 7, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 5, 3, 3, 4, 5, 10, 10, 9, 8, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 3, 3, 5, 7, 7, 6, 5, 4, 4, 6, 7, 7, 4, 2, 8, 8, 8, 7, 6, 5, 3, 2, 3, 8, 7, 7, 0, 20, 4, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 4, 4, 4, 4, 6, 6, 6, 7, 8, 7, 4, 1, 6, 5, 3, 2, 2, 3, 5, 6, 3, 3, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 3, 5, 7, 9, 5, 6, 7, 6, 4, 3, 4, 5, 2, 3, 5, 6, 7, 7, 6, 5, 3, 7, 10, 8, 4, 2, 5, 9, 10, 10, 9, 9, 7, 5, 4, 3, 7, 7, 7, 6, 6, 6, 5, 5, 5, 7, 5, 0, 2, 8, 9, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 0, 0, 9, 11, 6, 10, 9, 8, 6, 5, 5, 6, 8, 9, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 6, 7, 6, 5, 3, 2, 6, 4, 4, 5, 7, 8, 8, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 3, 3, 4, 6, 5, 6, 7, 8, 7, 10, 15, 15, 9, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 2, 3, 3, 4, 5, 6, 6, 5, 4, 3, 2, 2, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 6, 4, 2, 5, 9, 7, 2, 2, 4, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 11, 9, 7, 4, 2, 2, 2, 2, 9, 9, 9, 8, 6, 4, 2, 1, 4, 5, 6, 5, 3, 2, 3, 4, 6, 9, 12, 11, 9, 7, 8, 11, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 8, 8, 6, 4, 2, 7, 7, 6, 6, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 6, 7, 7, 5, 2, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 7, 8, 9, 10, 10, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 2, 3, 5, 10, 15, 18, 7, 6, 6, 5, 5, 6, 6, 7, 3, 14, 0, 5, 0, 2, 0, 23, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 6, 5, 5, 4, 3, 2, 3, 7, 10, 11, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 5, 5, 3, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 7, 14, 0, 13, 3, 10, 0, 11, 5, 6, 6, 6, 6, 5, 4, 3, 3, 5, 7, 8, 7, 6, 6, 7, 5, 5, 5, 6, 6, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 2, 2, 3, 4, 4, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 6, 5, 3, 2, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 4, 3, 5, 5, 2, 4, 6, 7, 7, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 5, 6, 7, 6, 5, 5, 4, 4, 3, 3, 2, 3, 3, 4, 4, 6, 6, 7, 7, 2, 3, 5, 6, 6, 5, 3, 2, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 2, 4, 7, 8, 6, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 1, 2, 4, 5, 6, 5, 4, 3, 1, 5, 7, 6, 0, 18, 27, 14, 15, 0, 3, 0, 1, 12, 6, 5, 5, 4, 4, 5, 7, 7, 5, 3, 2, 3, 4, 4, 6, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 9, 11, 12, 11, 8, 5, 2, 8, 7, 7, 7, 7, 7, 7, 7, 3, 4, 5, 4, 2, 2, 4, 6, 6, 5, 4, 4, 6, 6, 5, 4, 5, 6, 5, 4, 7, 10, 6, 0, 6, 5, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 11, 15, 9, 4, 5, 7, 5, 3, 4, 6, 7, 7, 6, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 4, 4, 4, 4, 7, 5, 4, 3, 3, 4, 6, 8, 5, 6, 7, 6, 4, 3, 4, 5, 3, 4, 5, 6, 6, 6, 5, 4, 3, 7, 9, 8, 4, 2, 5, 9, 6, 7, 7, 8, 8, 7, 6, 6, 7, 6, 6, 6, 5, 5, 5, 4, 5, 8, 7, 3, 4, 9, 9, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 1, 7, 6, 10, 21, 18, 6, 5, 7, 7, 6, 6, 6, 6, 7, 7, 5, 6, 6, 6, 6, 5, 4, 3, 5, 6, 6, 6, 5, 5, 4, 3, 7, 5, 4, 5, 7, 8, 7, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 4, 3, 3, 2, 1, 1, 2, 7, 5, 7, 12, 11, 6, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 5, 6, 7, 7, 7, 5, 5, 4, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 6, 4, 7, 11, 9, 4, 2, 3, 5, 6, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 4, 4, 4, 4, 8, 8, 8, 7, 6, 5, 3, 2, 4, 6, 6, 6, 4, 3, 3, 5, 4, 6, 9, 8, 6, 5, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 7, 5, 3, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 7, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 7, 11, 13, 7, 6, 6, 5, 5, 6, 6, 7, 3, 2, 10, 4, 10, 11, 12, 0, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 6, 6, 6, 5, 5, 3, 3, 3, 6, 10, 10, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 7, 7, 7, 6, 5, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 4, 13, 6, 13, 0, 5, 0, 13, 5, 6, 6, 6, 5, 5, 4, 3, 2, 4, 5, 5, 4, 4, 6, 7, 5, 5, 5, 6, 6, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 4, 4, 7, 6, 3, 3, 5, 7, 7, 4, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 6, 7, 7, 3, 3, 5, 5, 5, 5, 3, 3, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 6, 7, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 2, 3, 4, 5, 5, 5, 5, 4, 31, 0, 12, 0, 26, 60, 133, 33, 0, 14, 29, 11, 6, 16, 3, 0, 7, 5, 4, 5, 6, 7, 6, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 10, 11, 10, 7, 4, 2, 5, 5, 6, 6, 7, 7, 8, 8, 5, 6, 6, 4, 2, 2, 3, 5, 5, 4, 3, 3, 5, 5, 4, 3, 2, 4, 4, 2, 0, 0, 1, 5, 7, 6, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 11, 14, 9, 5, 6, 7, 6, 4, 4, 6, 6, 6, 6, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 7, 6, 5, 3, 3, 4, 5, 6, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 6, 6, 6, 5, 4, 3, 3, 6, 8, 7, 4, 3, 5, 8, 3, 4, 5, 7, 8, 9, 9, 9, 6, 5, 5, 5, 4, 4, 4, 3, 5, 7, 8, 6, 6, 9, 10, 7, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 2, 9, 10, 14, 24, 18, 5, 3, 5, 5, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 7, 6, 5, 5, 4, 4, 4, 5, 8, 6, 5, 5, 7, 7, 6, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 0, 2, 4, 4, 4, 5, 6, 7, 6, 4, 4, 8, 7, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 6, 6, 5, 5, 5, 5, 4, 4, 4, 6, 6, 4, 6, 10, 9, 5, 2, 2, 3, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 4, 4, 5, 7, 7, 6, 4, 4, 4, 6, 3, 5, 7, 7, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 7, 8, 7, 5, 3, 4, 5, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 6, 6, 9, 0, 2, 6, 0, 6, 13, 0, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 3, 3, 4, 6, 8, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 7, 9, 10, 8, 5, 4, 7, 6, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 0, 2, 0, 10, 8, 18, 7, 2, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 5, 5, 4, 5, 7, 10, 5, 5, 5, 5, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 7, 7, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 7, 7, 6, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 8, 5, 5, 8, 9, 6, 3, 5, 6, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 7, 10, 13, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 0, 24, 15, 11, 11, 86, 255, 51, 24, 7, 0, 0, 40, 63, 28, 11, 9, 7, 5, 4, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 2, 3, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7, 8, 9, 8, 6, 3, 2, 3, 3, 4, 5, 6, 7, 8, 9, 6, 6, 6, 5, 3, 2, 3, 5, 4, 3, 2, 2, 4, 5, 3, 2, 5, 5, 8, 9, 2, 0, 8, 25, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 9, 12, 9, 5, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 8, 7, 6, 5, 4, 4, 8, 7, 5, 4, 4, 4, 4, 5, 5, 6, 7, 6, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 3, 4, 6, 7, 6, 4, 3, 5, 7, 3, 3, 5, 6, 8, 8, 8, 8, 5, 5, 4, 4, 4, 3, 3, 3, 3, 6, 7, 7, 6, 7, 8, 8, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 10, 4, 3, 11, 9, 3, 7, 3, 4, 6, 7, 7, 6, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 8, 7, 5, 4, 3, 4, 5, 6, 9, 7, 6, 6, 6, 6, 5, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 0, 4, 5, 4, 3, 5, 6, 5, 7, 3, 3, 5, 5, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 7, 6, 6, 5, 5, 4, 4, 3, 1, 4, 4, 2, 3, 6, 6, 3, 4, 3, 2, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 6, 7, 7, 6, 5, 4, 5, 5, 6, 6, 6, 5, 5, 6, 7, 8, 7, 5, 4, 5, 6, 5, 6, 7, 7, 7, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 6, 7, 8, 9, 8, 5, 3, 3, 4, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 5, 6, 6, 5, 1, 0, 20, 0, 3, 0, 18, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 6, 6, 7, 7, 3, 4, 4, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 6, 5, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 4, 9, 16, 23, 14, 8, 7, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 5, 5, 6, 9, 12, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 7, 8, 8, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 8, 5, 6, 10, 10, 7, 3, 4, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 6, 5, 4, 3, 3, 4, 3, 3, 4, 4, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 7, 6, 6, 8, 14, 19, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 6, 8, 28, 51, 21, 2, 24, 71, 65, 44, 13, 14, 24, 38, 56, 32, 3, 36, 12, 9, 5, 4, 5, 7, 8, 8, 6, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 7, 8, 7, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 7, 7, 5, 3, 2, 3, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 5, 3, 3, 5, 7, 5, 4, 3, 3, 5, 5, 4, 3, 7, 3, 8, 14, 9, 2, 15, 36, 7, 7, 6, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 10, 8, 5, 3, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 7, 8, 7, 5, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 8, 7, 6, 5, 4, 4, 7, 7, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 4, 3, 4, 5, 7, 6, 6, 5, 4, 4, 4, 4, 4, 5, 6, 5, 4, 4, 5, 6, 5, 5, 6, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 2, 3, 5, 6, 5, 4, 7, 10, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 8, 1, 0, 3, 3, 0, 7, 3, 4, 6, 7, 7, 6, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 8, 7, 5, 4, 3, 4, 5, 6, 9, 7, 6, 6, 6, 6, 5, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 8, 7, 3, 2, 4, 1, 0, 8, 4, 3, 6, 6, 4, 5, 8, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 6, 5, 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5, 4, 4, 7, 6, 5, 11, 19, 16, 5, 8, 4, 4, 7, 7, 5, 6, 9, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 7, 11, 11, 7, 5, 6, 7, 5, 18, 14, 9, 7, 8, 9, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 5, 4, 3, 2, 3, 4, 5, 5, 5, 5, 4, 4, 5, 7, 7, 6, 4, 4, 4, 6, 4, 3, 3, 4, 5, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 7, 8, 9, 7, 5, 3, 4, 5, 6, 6, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 3, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 8, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 8, 7, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 2, 9, 9, 0, 17, 11, 11, 0, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 3, 5, 6, 5, 4, 3, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 9, 7, 4, 2, 1, 3, 6, 7, 3, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 0, 2, 5, 58, 156, 130, 47, 5, 8, 7, 5, 3, 3, 4, 5, 6, 1, 3, 5, 5, 4, 3, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 5, 5, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 3, 3, 4, 5, 5, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 8, 5, 5, 8, 9, 6, 6, 7, 7, 6, 4, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 9, 6, 4, 3, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 6, 7, 7, 5, 23, 0, 2, 27, 252, 52, 18, 6, 12, 14, 3, 11, 13, 0, 19, 11, 8, 6, 5, 5, 6, 6, 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5, 7, 8, 7, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 4, 2, 5, 18, 31, 26, 12, 6, 3, 4, 7, 8, 5, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 9, 14, 14, 9, 5, 6, 6, 5, 18, 13, 7, 6, 8, 9, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 3, 4, 4, 4, 5, 5, 5, 4, 3, 3, 4, 6, 6, 6, 4, 3, 3, 5, 5, 4, 3, 4, 6, 7, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 6, 7, 8, 8, 5, 4, 4, 5, 6, 7, 5, 3, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 8, 9, 9, 7, 5, 3, 5, 4, 4, 3, 3, 4, 4, 5, 13, 3, 15, 39, 6, 10, 10, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 5, 2, 2, 4, 6, 4, 4, 4, 4, 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2, 8, 4, 1, 6, 5, 3, 10, 9, 8, 6, 5, 5, 6, 8, 9, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 6, 7, 6, 5, 3, 2, 6, 4, 4, 5, 7, 8, 8, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 0, 0, 12, 23, 14, 0, 4, 2, 3, 7, 8, 5, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 9, 14, 14, 8, 3, 3, 3, 2, 14, 8, 2, 2, 5, 8, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 3, 3, 4, 5, 6, 4, 5, 5, 5, 5, 4, 3, 2, 4, 5, 6, 5, 3, 2, 3, 4, 8, 6, 5, 7, 9, 10, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 7, 8, 4, 4, 4, 6, 7, 7, 5, 2, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 10, 11, 10, 7, 4, 2, 5, 4, 4, 3, 3, 4, 4, 5, 9, 0, 29, 151, 17, 21, 0, 12, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 3, 3, 2, 3, 5, 6, 5, 2, 1, 3, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 1, 1, 4, 4, 4, 4, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 2, 7, 5, 88, 249, 193, 57, 10, 8, 7, 5, 3, 2, 3, 5, 6, 7, 11, 15, 16, 13, 9, 7, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 10, 9, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 4, 3, 5, 5, 2, 9, 9, 8, 6, 3, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 6, 5, 4, 3, 3, 3, 8, 7, 7, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 0, 0, 2, 5, 7, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 3, 4, 6, 8, 8, 7, 6, 5, 8, 10, 5, 0, 24, 2, 0, 20, 22, 0, 4, 11, 10, 9, 0, 5, 8, 6, 5, 5, 6, 5, 3, 0, 2, 3, 4, 4, 6, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 9, 10, 9, 7, 4, 2, 3, 5, 6, 5, 4, 4, 6, 6, 5, 4, 0, 6, 7, 2, 0, 4, 9, 10, 3, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 4, 2, 7, 9, 6, 7, 12, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 5, 4, 5, 6, 7, 7, 5, 4, 3, 9, 8, 8, 7, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 4, 3, 3, 3, 4, 4, 4, 6, 7, 5, 2, 2, 5, 9, 3, 5, 7, 7, 5, 4, 4, 5, 9, 8, 8, 7, 6, 5, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 9, 8, 8, 7, 7, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 6, 9, 8, 6, 4, 6, 8, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 7, 6, 6, 7, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 4, 4, 5, 7, 10, 11, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 6, 8, 8, 7, 5, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 2, 3, 3, 4, 4, 5, 5, 5, 2, 3, 4, 5, 6, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 2, 0, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 9, 10, 8, 6, 5, 5, 6, 5, 3, 4, 5, 5, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 9, 10, 0, 8, 23, 31, 23, 8, 0, 0, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 3, 2, 2, 1, 3, 5, 6, 6, 5, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 8, 8, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 6, 4, 6, 9, 7, 1, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 8, 9, 6, 7, 10, 7, 0, 7, 4, 11, 31, 52, 53, 33, 12, 8, 7, 7, 6, 6, 5, 5, 4, 7, 11, 12, 9, 7, 12, 22, 29, 5, 6, 7, 7, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 5, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 8, 6, 4, 2, 2, 4, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 8, 7, 2, 3, 9, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 6, 3, 0, 1, 4, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 3, 4, 5, 5, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 7, 8, 7, 6, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 14, 16, 14, 8, 5, 6, 3, 0, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 4, 5, 6, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 2, 3, 3, 4, 4, 5, 5, 6, 4, 4, 5, 6, 7, 8, 8, 9, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 4, 2, 2, 3, 3, 3, 1, 5, 8, 6, 2, 3, 8, 7, 0, 3, 3, 4, 4, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 6, 5, 5, 6, 6, 7, 11, 8, 6, 6, 8, 9, 6, 3, 6, 6, 5, 5, 5, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 7, 6, 6, 7, 5, 0, 7, 6, 6, 5, 5, 4, 4, 3, 8, 7, 7, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 11, 8, 5, 4, 6, 7, 5, 2, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 8, 8, 8, 7, 6, 5, 4, 3, 8, 7, 7, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 6, 6, 7, 8, 9, 10, 3, 4, 4, 2, 1, 1, 3, 5, 3, 5, 7, 7, 5, 4, 4, 5, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 3, 3, 4, 4, 4, 5, 5, 5, 2, 4, 6, 6, 3, 2, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 6, 8, 8, 6, 5, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 6, 6, 6, 5, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 5, 4, 4, 7, 6, 5, 5, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 8, 9, 8, 9, 13, 15, 10, 3, 2, 6, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 5, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 3, 1, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 9, 8, 3, 3, 5, 4, 0, 4, 3, 6, 17, 27, 26, 14, 2, 7, 6, 6, 6, 6, 6, 5, 5, 3, 6, 7, 5, 4, 7, 13, 17, 4, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 4, 4, 5, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 7, 6, 3, 3, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 6, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 6, 5, 4, 5, 7, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 10, 12, 11, 7, 5, 7, 6, 2, 4, 5, 5, 6, 6, 5, 5, 4, 9, 7, 6, 7, 8, 9, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 5, 6, 7, 7, 8, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 9, 6, 4, 3, 4, 5, 4, 3, 4, 10, 11, 6, 3, 6, 7, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 8, 6, 4, 5, 7, 7, 6, 3, 7, 7, 6, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 11, 14, 9, 5, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 8, 5, 3, 3, 5, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 12, 10, 9, 7, 5, 4, 4, 4, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 7, 8, 10, 11, 12, 5, 3, 2, 2, 3, 4, 4, 3, 3, 5, 7, 7, 5, 4, 5, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 6, 8, 10, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 6, 7, 7, 3, 4, 4, 4, 5, 5, 5, 5, 4, 5, 7, 6, 4, 2, 2, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 7, 8, 8, 7, 6, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 4, 3, 2, 2, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 6, 7, 7, 6, 5, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 3, 2, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 4, 4, 5, 3, 2, 5, 5, 5, 3, 2, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 5, 6, 7, 12, 7, 4, 4, 3, 1, 2, 7, 5, 5, 5, 5, 4, 4, 4, 3, 7, 6, 4, 3, 3, 3, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 7, 7, 4, 11, 22, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 6, 2, 1, 4, 5, 3, 7, 6, 7, 8, 8, 7, 5, 3, 5, 5, 5, 5, 6, 6, 6, 6, 3, 3, 3, 3, 3, 4, 5, 7, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 9, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 10, 8, 5, 4, 4, 4, 3, 1, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 2, 5, 5, 3, 4, 6, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 0, 3, 8, 10, 6, 2, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 7, 6, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 7, 8, 5, 5, 8, 8, 5, 4, 5, 5, 6, 6, 5, 5, 4, 9, 6, 4, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 7, 7, 7, 7, 8, 13, 10, 6, 4, 5, 6, 6, 5, 4, 11, 15, 10, 4, 4, 8, 10, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 6, 7, 7, 5, 4, 3, 3, 3, 3, 4, 5, 5, 4, 3, 4, 6, 7, 6, 4, 8, 7, 6, 5, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 13, 16, 9, 2, 2, 4, 6, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 2, 2, 4, 6, 6, 5, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 10, 9, 7, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 4, 4, 5, 6, 7, 8, 9, 6, 3, 4, 7, 9, 7, 4, 4, 6, 8, 7, 6, 5, 5, 6, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 4, 4, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 5, 3, 2, 3, 5, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 5, 6, 6, 8, 8, 8, 8, 6, 5, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 7, 9, 9, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 6, 5, 3, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 7, 6, 5, 4, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 7, 8, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 4, 5, 8, 8, 6, 4, 5, 6, 7, 5, 3, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 4, 4, 5, 5, 7, 2, 1, 5, 7, 4, 0, 0, 6, 6, 5, 5, 5, 4, 4, 4, 8, 6, 4, 2, 2, 4, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 0, 1, 11, 12, 9, 21, 40, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 6, 4, 4, 6, 8, 9, 9, 8, 7, 4, 3, 4, 7, 10, 4, 4, 4, 5, 6, 6, 7, 7, 9, 5, 2, 4, 4, 3, 3, 4, 3, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 4, 6, 9, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 5, 4, 5, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 1, 3, 5, 5, 5, 5, 2, 4, 6, 8, 8, 6, 4, 2, 4, 4, 5, 5, 4, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 3, 5, 6, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 6, 5, 5, 6, 8, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 2, 6, 6, 3, 4, 7, 8, 5, 4, 5, 5, 6, 6, 5, 5, 4, 12, 9, 5, 2, 2, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 6, 5, 5, 4, 4, 3, 3, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 14, 10, 6, 4, 4, 5, 6, 6, 6, 10, 12, 10, 5, 4, 7, 9, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 7, 6, 9, 8, 6, 5, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 10, 4, 1, 2, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 3, 3, 3, 4, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 2, 4, 5, 6, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 7, 6, 5, 4, 3, 3, 3, 3, 8, 6, 4, 5, 8, 9, 7, 4, 4, 6, 8, 8, 6, 5, 6, 7, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 9, 7, 5, 3, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 8, 8, 7, 7, 7, 5, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 3, 5, 7, 8, 8, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 8, 8, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 5, 4, 3, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 6, 6, 6, 6, 5, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 6, 5, 7, 10, 6, 6, 6, 5, 5, 4, 4, 4, 9, 8, 8, 9, 9, 9, 7, 5, 6, 7, 8, 8, 7, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 6, 1, 1, 7, 10, 7, 2, 0, 6, 6, 6, 5, 5, 5, 4, 4, 7, 6, 4, 3, 3, 4, 6, 8, 8, 6, 4, 2, 2, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 6, 7, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 1, 1, 8, 5, 0, 8, 25, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 5, 5, 7, 10, 8, 6, 3, 1, 3, 5, 6, 6, 3, 3, 4, 4, 5, 6, 6, 6, 13, 6, 3, 5, 5, 2, 2, 5, 4, 4, 4, 4, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 7, 5, 3, 3, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 1, 2, 5, 8, 7, 4, 2, 4, 6, 8, 8, 6, 4, 2, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 5, 2, 5, 12, 20, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 5, 4, 4, 5, 7, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 3, 6, 6, 3, 3, 6, 6, 3, 4, 5, 5, 6, 6, 5, 5, 4, 20, 16, 11, 8, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 6, 5, 5, 4, 4, 3, 3, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 11, 8, 5, 3, 4, 5, 5, 4, 8, 7, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 6, 7, 7, 7, 8, 9, 8, 7, 6, 4, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 2, 1, 4, 10, 9, 4, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 5, 5, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 11, 10, 9, 7, 5, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 2, 2, 2, 2, 3, 4, 5, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 10, 9, 7, 6, 4, 4, 4, 4, 5, 4, 4, 5, 6, 6, 4, 3, 5, 7, 8, 8, 7, 6, 6, 7, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 6, 5, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 10, 8, 6, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 5, 5, 2, 0, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 4, 3, 3, 4, 7, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 2, 3, 4, 5, 6, 7, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 6, 8, 7, 5, 4, 6, 9, 7, 7, 6, 5, 5, 4, 3, 3, 5, 6, 5, 3, 2, 2, 5, 8, 11, 8, 5, 4, 5, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 4, 9, 3, 0, 4, 7, 6, 5, 6, 7, 6, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 7, 8, 8, 7, 5, 3, 3, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 6, 9, 10, 7, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 3, 3, 5, 3, 0, 2, 12, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 4, 2, 6, 13, 12, 8, 5, 4, 6, 6, 4, 1, 4, 4, 4, 4, 5, 5, 5, 5, 10, 4, 3, 8, 7, 1, 1, 7, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 6, 5, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 3, 3, 5, 7, 7, 6, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 2, 2, 6, 11, 9, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 6, 9, 7, 3, 7, 20, 31, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 7, 6, 6, 6, 5, 5, 5, 5, 4, 3, 3, 5, 7, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 4, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 7, 7, 4, 3, 6, 6, 3, 4, 5, 5, 6, 6, 5, 5, 4, 16, 13, 9, 7, 6, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 3, 3, 3, 3, 2, 7, 5, 3, 3, 4, 5, 4, 3, 9, 4, 2, 5, 7, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 7, 7, 6, 5, 5, 6, 7, 7, 5, 7, 8, 8, 7, 6, 8, 9, 7, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 2, 2, 9, 16, 13, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 13, 13, 12, 9, 5, 3, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 6, 6, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 9, 9, 7, 6, 6, 6, 6, 6, 2, 4, 6, 7, 5, 4, 4, 4, 5, 7, 9, 8, 7, 6, 6, 7, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 8, 7, 5, 4, 4, 5, 7, 8, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 6, 6, 6, 7, 7, 5, 3, 2, 4, 6, 6, 4, 1, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 4, 2, 2, 4, 7, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 7, 9, 7, 3, 2, 4, 8, 7, 7, 6, 5, 5, 4, 3, 3, 2, 3, 3, 0, 0, 6, 20, 32, 35, 23, 9, 2, 2, 4, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 8, 3, 2, 5, 6, 5, 6, 9, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 6, 5, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 9, 13, 13, 8, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 7, 8, 10, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 3, 5, 4, 6, 16, 29, 12, 11, 9, 7, 6, 5, 4, 3, 5, 5, 4, 4, 4, 4, 4, 3, 4, 2, 8, 16, 13, 2, 1, 8, 7, 6, 5, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 4, 4, 5, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 2, 7, 14, 12, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 5, 3, 6, 15, 23, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 9, 10, 8, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 4, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 7, 7, 4, 4, 7, 7, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 4, 3, 3, 4, 4, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 5, 6, 7, 5, 3, 7, 4, 4, 7, 6, 1, 1, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 5, 6, 6, 5, 7, 9, 8, 5, 4, 5, 7, 5, 5, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 9, 14, 11, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 10, 11, 11, 8, 4, 3, 4, 6, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 2, 5, 5, 6, 7, 6, 5, 3, 2, 7, 6, 5, 5, 3, 2, 2, 1, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 5, 5, 5, 6, 7, 7, 3, 7, 11, 10, 7, 5, 6, 8, 5, 7, 9, 9, 7, 6, 6, 7, 9, 8, 8, 7, 6, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 8, 7, 5, 4, 4, 5, 7, 8, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 6, 6, 7, 7, 7, 7, 5, 4, 5, 8, 9, 7, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 10, 7, 5, 4, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 3, 2, 2, 4, 7, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 2, 6, 6, 6, 6, 5, 4, 3, 2, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 7, 10, 7, 2, 0, 3, 7, 7, 7, 6, 6, 4, 4, 3, 3, 5, 7, 8, 6, 8, 23, 47, 66, 66, 47, 24, 9, 6, 7, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 5, 4, 1, 1, 4, 10, 11, 6, 4, 5, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 11, 16, 15, 9, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 6, 6, 4, 5, 8, 6, 0, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 3, 2, 5, 7, 14, 31, 48, 5, 6, 7, 5, 2, 1, 3, 6, 6, 5, 5, 4, 4, 3, 3, 2, 0, 2, 13, 24, 20, 6, 2, 9, 8, 7, 5, 4, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 10, 7, 5, 4, 4, 4, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 8, 6, 4, 2, 2, 4, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 4, 2, 8, 15, 13, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 8, 8, 8, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 2, 1, 0, 2, 4, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 7, 6, 6, 5, 5, 5, 6, 5, 6, 8, 10, 11, 10, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 5, 4, 3, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 2, 6, 6, 4, 5, 9, 9, 7, 4, 5, 5, 6, 6, 5, 5, 4, 2, 2, 2, 5, 7, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 2, 3, 3, 4, 4, 5, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 2, 2, 3, 6, 9, 8, 6, 3, 4, 4, 8, 10, 4, 0, 1, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 5, 7, 8, 7, 3, 2, 3, 5, 4, 4, 3, 3, 3, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 5, 7, 6, 6, 7, 6, 2, 7, 6, 6, 5, 5, 4, 4, 3, 6, 5, 5, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9, 7, 4, 2, 4, 7, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 3, 2, 3, 5, 7, 8, 7, 4, 4, 4, 5, 5, 6, 6, 6, 3, 8, 9, 5, 2, 4, 6, 4, 0, 6, 13, 14, 9, 5, 5, 7, 7, 7, 6, 6, 4, 4, 3, 3, 2, 3, 4, 4, 6, 6, 7, 8, 7, 6, 4, 3, 3, 4, 6, 7, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 3, 4, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 7, 9, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 4, 5, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 7, 8, 4, 3, 2, 2, 2, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 5, 4, 3, 3, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 8, 8, 7, 7, 5, 4, 2, 1, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 8, 7, 5, 5, 7, 7, 6, 4, 9, 8, 8, 7, 7, 6, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 7, 7, 7, 7, 7, 6, 4, 4, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 13, 0, 23, 0, 20, 39, 152, 255, 255, 79, 51, 12, 4, 0, 16, 0, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 7, 7, 7, 7, 8, 3, 3, 2, 1, 1, 3, 4, 6, 5, 7, 6, 3, 3, 6, 6, 3, 8, 8, 7, 6, 5, 3, 2, 2, 1, 2, 2, 3, 3, 4, 4, 5, 6, 4, 8, 15, 15, 8, 4, 6, 4, 3, 2, 2, 2, 3, 4, 4, 1, 2, 4, 6, 8, 9, 9, 9, 6, 5, 3, 2, 2, 3, 4, 5, 2, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 6, 8, 10, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 1, 3, 10, 21, 29, 10, 6, 3, 2, 5, 6, 5, 4, 5, 6, 7, 8, 8, 6, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 3, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 8, 9, 8, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 22, 8, 0, 15, 7, 0, 14, 9, 9, 8, 7, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 16, 0, 0, 10, 0, 30, 0, 5, 9, 8, 8, 7, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 4, 4, 6, 6, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 5, 3, 3, 4, 5, 8, 3, 1, 4, 5, 3, 3, 4, 4, 4, 5, 6, 7, 7, 8, 9, 8, 7, 7, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 5, 6, 8, 9, 9, 7, 4, 4, 4, 4, 4, 4, 4, 4, 10, 5, 2, 8, 16, 19, 12, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 3, 3, 5, 6, 6, 8, 6, 5, 6, 9, 10, 7, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 7, 7, 3, 2, 4, 4, 0, 4, 3, 2, 2, 2, 2, 3, 4, 2, 2, 2, 3, 3, 3, 4, 4, 2, 2, 2, 4, 6, 6, 3, 0, 3, 4, 6, 7, 7, 6, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 3, 2, 3, 6, 7, 8, 7, 3, 3, 3, 4, 4, 5, 5, 5, 5, 8, 8, 4, 2, 4, 4, 1, 2, 6, 9, 9, 6, 4, 5, 7, 7, 7, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 3, 3, 3, 3, 3, 3, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 3, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 6, 9, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 7, 8, 5, 4, 4, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 7, 7, 7, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 5, 6, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 4, 3, 3, 4, 5, 6, 6, 6, 8, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 6, 6, 5, 4, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 15, 8, 9, 25, 77, 250, 234, 223, 225, 65, 15, 19, 7, 0, 13, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 6, 6, 7, 7, 5, 4, 4, 4, 4, 3, 2, 2, 2, 4, 5, 6, 3, 5, 4, 1, 3, 8, 10, 7, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 2, 5, 11, 11, 5, 2, 4, 3, 3, 3, 4, 4, 4, 5, 5, 3, 3, 4, 5, 6, 7, 8, 9, 5, 4, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 3, 3, 4, 6, 7, 8, 4, 4, 4, 4, 5, 5, 5, 5, 6, 7, 6, 4, 3, 5, 10, 14, 9, 6, 3, 3, 5, 6, 5, 4, 4, 4, 4, 4, 4, 3, 2, 1, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 5, 4, 5, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 8, 9, 7, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 13, 62, 55, 10, 2, 7, 2, 4, 8, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 17, 22, 16, 8, 0, 7, 6, 6, 6, 6, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 4, 3, 4, 6, 8, 11, 6, 3, 6, 7, 5, 4, 5, 4, 4, 5, 5, 6, 7, 8, 8, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 5, 7, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 5, 9, 10, 8, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 3, 3, 3, 4, 5, 6, 5, 5, 4, 5, 7, 7, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 6, 6, 4, 4, 7, 7, 4, 3, 4, 5, 6, 6, 5, 4, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 4, 3, 3, 6, 8, 8, 7, 2, 3, 3, 3, 3, 4, 4, 4, 6, 7, 6, 2, 3, 5, 4, 0, 5, 5, 5, 4, 4, 4, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 5, 3, 4, 6, 8, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 7, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 8, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 8, 8, 7, 7, 6, 5, 5, 4, 5, 5, 5, 5, 6, 6, 6, 6, 2, 2, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 6, 7, 1, 3, 4, 5, 5, 6, 8, 9, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 6, 7, 6, 5, 5, 4, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 17, 0, 16, 24, 58, 255, 255, 255, 238, 43, 28, 14, 0, 1, 10, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5, 6, 8, 6, 7, 4, 1, 3, 9, 10, 7, 7, 6, 4, 3, 3, 4, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 2, 4, 8, 8, 4, 2, 4, 3, 3, 4, 5, 6, 6, 5, 5, 6, 5, 4, 4, 4, 6, 7, 8, 4, 4, 3, 3, 4, 5, 6, 7, 10, 9, 8, 7, 6, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 6, 6, 7, 7, 5, 7, 8, 6, 4, 2, 2, 2, 8, 6, 4, 4, 5, 5, 5, 4, 7, 6, 4, 3, 2, 1, 1, 1, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 8, 6, 5, 6, 7, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 8, 8, 7, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 58, 56, 9, 0, 8, 7, 4, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 6, 0, 5, 20, 12, 6, 18, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 5, 8, 12, 14, 9, 6, 8, 9, 6, 4, 6, 4, 4, 5, 5, 6, 7, 7, 7, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 4, 4, 5, 6, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 1, 2, 3, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 3, 4, 4, 5, 4, 6, 7, 7, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 6, 6, 3, 3, 7, 7, 4, 3, 5, 8, 10, 10, 8, 5, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 6, 5, 3, 2, 4, 8, 11, 6, 6, 7, 8, 8, 7, 6, 6, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 7, 6, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 3, 4, 6, 8, 8, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 1, 3, 7, 5, 0, 6, 4, 2, 3, 4, 4, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 3, 3, 2, 2, 5, 5, 5, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 4, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 7, 6, 7, 8, 8, 8, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 7, 6, 6, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 5, 5, 7, 7, 6, 6, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 3, 5, 7, 7, 6, 6, 8, 10, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 4, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 11, 3, 18, 26, 132, 235, 241, 106, 29, 19, 8, 0, 12, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 3, 2, 2, 3, 5, 7, 8, 7, 7, 6, 5, 4, 4, 6, 7, 9, 13, 11, 6, 1, 3, 8, 7, 3, 6, 5, 3, 3, 3, 5, 7, 8, 7, 7, 6, 6, 5, 5, 4, 4, 6, 5, 6, 7, 7, 6, 5, 6, 2, 3, 4, 5, 6, 5, 5, 4, 8, 6, 4, 3, 3, 4, 6, 7, 3, 3, 4, 4, 5, 6, 7, 7, 8, 8, 8, 7, 7, 6, 6, 5, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 9, 3, 4, 5, 5, 4, 3, 2, 2, 7, 6, 5, 5, 5, 5, 4, 4, 12, 10, 8, 6, 4, 4, 4, 5, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 6, 6, 8, 9, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 18, 13, 3, 8, 8, 3, 8, 4, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 28, 10, 1, 49, 32, 28, 0, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 10, 14, 15, 9, 7, 8, 9, 5, 4, 5, 4, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 8, 6, 5, 5, 6, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 4, 5, 9, 12, 11, 8, 6, 8, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 6, 6, 2, 2, 5, 5, 1, 5, 6, 8, 9, 9, 8, 6, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 6, 4, 2, 3, 7, 11, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 4, 4, 6, 8, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 2, 4, 4, 2, 3, 7, 7, 4, 4, 4, 4, 5, 6, 5, 2, 0, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 6, 4, 4, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 7, 8, 8, 8, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 5, 6, 6, 6, 5, 5, 5, 6, 3, 3, 3, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 5, 5, 4, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 6, 27, 0, 12, 35, 40, 85, 81, 25, 38, 0, 14, 11, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 4, 2, 2, 5, 8, 7, 6, 7, 6, 5, 5, 5, 6, 8, 9, 13, 11, 6, 2, 5, 10, 9, 3, 5, 4, 3, 3, 4, 5, 7, 8, 6, 6, 5, 5, 4, 4, 3, 3, 6, 7, 6, 5, 5, 6, 7, 6, 3, 3, 4, 4, 4, 4, 3, 3, 8, 7, 4, 2, 2, 3, 5, 6, 4, 4, 5, 5, 6, 6, 6, 6, 4, 4, 5, 5, 6, 6, 7, 7, 7, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 6, 7, 8, 8, 9, 5, 4, 3, 3, 3, 4, 5, 5, 5, 6, 6, 6, 5, 4, 4, 4, 13, 12, 9, 7, 6, 5, 6, 6, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 6, 6, 8, 9, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 14, 4, 0, 7, 14, 3, 0, 5, 3, 3, 4, 4, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 0, 3, 23, 44, 255, 36, 30, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 10, 14, 14, 8, 5, 7, 7, 4, 2, 4, 4, 4, 4, 5, 5, 5, 5, 6, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 6, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 6, 6, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 3, 0, 1, 5, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 6, 5, 4, 4, 4, 4, 5, 8, 11, 10, 7, 6, 7, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 2, 6, 6, 4, 5, 9, 9, 7, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 7, 7, 7, 7, 4, 5, 5, 4, 3, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 6, 5, 5, 7, 8, 7, 6, 8, 7, 7, 7, 7, 6, 6, 6, 0, 5, 7, 4, 3, 6, 8, 7, 5, 6, 8, 9, 8, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 7, 7, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 6, 7, 6, 4, 3, 3, 4, 5, 3, 1, 3, 3, 3, 4, 4, 4, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 4, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 0, 13, 7, 3, 24, 36, 4, 0, 17, 14, 9, 8, 5, 14, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 14, 10, 5, 4, 5, 6, 4, 2, 7, 6, 5, 4, 5, 6, 8, 9, 8, 6, 4, 3, 9, 15, 13, 7, 3, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 3, 6, 6, 3, 3, 6, 6, 3, 7, 7, 5, 4, 3, 3, 3, 3, 6, 5, 4, 3, 3, 4, 5, 5, 5, 5, 6, 7, 6, 6, 5, 5, 1, 2, 3, 4, 5, 6, 7, 7, 6, 6, 6, 6, 6, 5, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 10, 7, 3, 2, 2, 4, 4, 4, 4, 6, 7, 7, 5, 3, 3, 4, 9, 8, 7, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 8, 6, 5, 6, 7, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 5, 4, 3, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 9, 8, 3, 1, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 18, 13, 7, 36, 55, 25, 0, 7, 7, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 5, 8, 12, 11, 6, 4, 6, 6, 3, 2, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 9, 7, 6, 7, 8, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 1, 0, 0, 5, 6, 3, 0, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 5, 5, 6, 3, 5, 6, 6, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 1, 5, 7, 7, 9, 15, 17, 15, 6, 5, 4, 3, 3, 4, 5, 6, 5, 5, 5, 6, 6, 7, 7, 7, 8, 6, 4, 4, 5, 5, 3, 1, 4, 4, 3, 2, 2, 3, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 9, 7, 5, 5, 7, 8, 7, 6, 7, 7, 7, 6, 6, 5, 5, 5, 2, 10, 13, 8, 2, 3, 6, 7, 8, 10, 12, 10, 6, 4, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 6, 6, 6, 6, 4, 4, 3, 3, 4, 4, 5, 6, 6, 7, 8, 7, 6, 5, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 5, 6, 7, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 8, 7, 5, 3, 3, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 5, 4, 4, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 5, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 9, 5, 1, 3, 9, 11, 7, 3, 3, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 0, 0, 15, 4, 4, 28, 17, 14, 16, 0, 23, 2, 0, 15, 4, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 18, 13, 6, 4, 6, 6, 4, 1, 6, 5, 4, 4, 4, 5, 7, 8, 5, 5, 3, 5, 12, 18, 15, 7, 2, 4, 6, 7, 7, 6, 5, 4, 5, 5, 5, 6, 6, 6, 6, 6, 2, 7, 8, 4, 4, 8, 7, 2, 14, 12, 8, 5, 3, 3, 5, 6, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 8, 8, 7, 5, 4, 3, 3, 3, 3, 4, 5, 5, 6, 6, 4, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 9, 5, 2, 2, 3, 4, 4, 2, 3, 6, 8, 8, 5, 3, 3, 4, 4, 5, 5, 5, 4, 3, 2, 1, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 5, 4, 5, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 3, 3, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 0, 2, 10, 6, 0, 2, 8, 3, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 21, 16, 0, 11, 27, 0, 21, 14, 7, 7, 6, 6, 5, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 4, 3, 4, 6, 8, 10, 5, 3, 5, 6, 4, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 4, 5, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 8, 7, 5, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 4, 5, 7, 8, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 5, 6, 7, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 6, 7, 7, 4, 3, 3, 4, 5, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 7, 8, 7, 8, 13, 14, 12, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 16, 9, 2, 1, 5, 7, 4, 0, 5, 4, 3, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 7, 7, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 9, 7, 6, 6, 7, 8, 7, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 14, 18, 10, 1, 0, 4, 7, 11, 13, 14, 9, 4, 3, 8, 13, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 6, 6, 7, 8, 3, 4, 6, 7, 7, 6, 4, 3, 2, 2, 3, 4, 6, 7, 8, 8, 10, 9, 8, 7, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 2, 3, 5, 6, 7, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 8, 8, 6, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 4, 5, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 4, 3, 2, 2, 2, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 2, 3, 4, 6, 7, 9, 9, 10, 10, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 13, 7, 2, 6, 15, 18, 14, 8, 4, 4, 4, 5, 5, 6, 6, 7, 3, 3, 4, 5, 5, 6, 7, 7, 2, 2, 3, 4, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 22, 12, 0, 17, 19, 0, 12, 0, 18, 8, 7, 14, 1, 1, 8, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 4, 6, 7, 8, 8, 17, 11, 5, 4, 7, 9, 7, 4, 5, 5, 4, 3, 3, 5, 6, 8, 7, 7, 5, 7, 13, 18, 12, 3, 2, 4, 6, 8, 8, 6, 4, 2, 5, 6, 6, 7, 7, 8, 8, 9, 4, 10, 11, 8, 8, 11, 10, 4, 19, 16, 11, 6, 4, 4, 6, 8, 2, 3, 4, 5, 5, 5, 5, 4, 8, 8, 8, 8, 7, 5, 3, 1, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 1, 0, 2, 5, 6, 5, 2, 2, 6, 9, 8, 5, 3, 3, 4, 3, 4, 5, 6, 6, 4, 3, 2, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 3, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 2, 2, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 11, 0, 3, 10, 6, 4, 5, 0, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 7, 5, 0, 20, 10, 0, 7, 6, 5, 5, 3, 2, 2, 1, 7, 7, 6, 6, 4, 4, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 4, 4, 6, 6, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 5, 3, 3, 4, 5, 10, 5, 3, 6, 7, 5, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 5, 4, 5, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 7, 6, 5, 4, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 3, 3, 4, 6, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 7, 13, 12, 8, 4, 5, 8, 4, 4, 4, 5, 5, 6, 6, 6, 2, 3, 5, 8, 10, 12, 13, 13, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 7, 8, 8, 6, 4, 3, 4, 7, 8, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 10, 9, 5, 4, 6, 5, 2, 2, 4, 6, 8, 8, 6, 4, 2, 4, 4, 4, 5, 5, 5, 6, 6, 23, 13, 1, 0, 4, 8, 6, 1, 7, 6, 4, 3, 3, 4, 6, 7, 3, 3, 4, 4, 6, 6, 7, 7, 8, 7, 6, 6, 8, 9, 7, 6, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 0, 27, 0, 29, 27, 19, 35, 12, 12, 12, 10, 8, 5, 3, 1, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 2, 4, 5, 4, 2, 2, 5, 8, 8, 8, 7, 5, 5, 9, 14, 18, 7, 6, 4, 4, 6, 6, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 3, 5, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 12, 12, 3, 0, 5, 7, 7, 6, 5, 4, 4, 4, 4, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 2, 3, 4, 5, 7, 8, 9, 10, 5, 6, 8, 7, 5, 5, 6, 7, 4, 6, 8, 10, 9, 7, 4, 1, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 5, 5, 5, 6, 6, 8, 6, 4, 5, 7, 8, 7, 4, 2, 3, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 2, 9, 10, 13, 0, 10, 0, 12, 0, 6, 5, 4, 4, 6, 6, 5, 4, 3, 4, 5, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 7, 9, 10, 5, 5, 5, 4, 4, 3, 3, 3, 12, 9, 5, 2, 2, 3, 6, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 7, 7, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 8, 5, 3, 2, 2, 4, 6, 5, 4, 3, 2, 2, 4, 6, 7, 4, 5, 7, 8, 8, 7, 5, 4, 9, 8, 7, 6, 4, 3, 2, 1, 7, 9, 10, 7, 2, 2, 7, 12, 6, 7, 8, 8, 7, 6, 4, 3, 6, 4, 3, 3, 5, 7, 6, 6, 5, 6, 7, 7, 6, 5, 3, 2, 8, 7, 5, 3, 2, 2, 2, 3, 5, 3, 2, 2, 4, 5, 5, 5, 14, 7, 5, 9, 9, 4, 0, 1, 7, 4, 2, 2, 3, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 9, 8, 1, 1, 9, 8, 0, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 5, 4, 3, 10, 16, 27, 23, 25, 15, 0, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 8, 5, 3, 3, 4, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 9, 8, 6, 5, 3, 3, 3, 3, 4, 5, 6, 6, 5, 4, 2, 1, 0, 4, 7, 5, 0, 0, 4, 10, 6, 5, 3, 2, 2, 3, 5, 6, 6, 4, 3, 5, 8, 8, 5, 1, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 5, 5, 6, 6, 4, 5, 6, 6, 5, 4, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 9, 8, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 0, 11, 9, 0, 10, 0, 23, 11, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 6, 5, 3, 7, 6, 6, 5, 5, 6, 6, 7, 3, 3, 4, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 1, 4, 7, 8, 7, 6, 7, 7, 11, 5, 1, 10, 0, 18, 1, 5, 4, 5, 6, 5, 3, 2, 2, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 9, 8, 7, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 3, 4, 4, 3, 3, 2, 5, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 3, 4, 5, 6, 5, 4, 2, 1, 0, 7, 9, 10, 6, 0, 5, 6, 3, 3, 4, 5, 5, 6, 7, 7, 8, 6, 5, 6, 7, 8, 7, 5, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 14, 0, 30, 0, 26, 231, 71, 15, 13, 11, 9, 7, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 2, 4, 5, 5, 3, 2, 5, 7, 3, 5, 7, 7, 7, 7, 9, 11, 7, 6, 4, 4, 6, 6, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 3, 5, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 3, 7, 17, 17, 7, 3, 6, 6, 6, 5, 4, 4, 4, 5, 5, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 3, 3, 4, 5, 6, 8, 8, 9, 3, 4, 5, 5, 3, 3, 4, 5, 5, 6, 7, 8, 7, 6, 4, 2, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 9, 8, 8, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 4, 5, 5, 5, 6, 6, 6, 6, 8, 5, 4, 5, 7, 8, 6, 4, 3, 4, 5, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 11, 14, 9, 6, 0, 5, 4, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 4, 5, 7, 8, 5, 5, 5, 4, 4, 3, 3, 3, 9, 8, 5, 3, 3, 4, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 5, 4, 3, 2, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 6, 7, 7, 6, 5, 5, 8, 7, 7, 6, 4, 3, 3, 2, 0, 2, 6, 7, 7, 10, 17, 24, 6, 7, 7, 7, 6, 5, 5, 4, 6, 4, 3, 3, 5, 7, 6, 5, 4, 5, 6, 6, 6, 5, 3, 3, 10, 9, 7, 5, 4, 4, 5, 5, 6, 5, 4, 4, 5, 6, 7, 7, 3, 0, 0, 4, 8, 6, 6, 8, 6, 4, 2, 3, 4, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 7, 5, 2, 10, 20, 19, 9, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 7, 7, 7, 7, 27, 40, 90, 83, 23, 20, 14, 6, 6, 6, 6, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 8, 5, 3, 3, 4, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 3, 3, 8, 7, 6, 4, 3, 4, 6, 8, 5, 5, 4, 3, 3, 4, 5, 5, 5, 4, 4, 6, 7, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 6, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 5, 4, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 3, 9, 6, 0, 6, 4, 0, 10, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 5, 3, 2, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 6, 8, 8, 6, 5, 5, 5, 11, 4, 2, 7, 0, 5, 34, 0, 5, 7, 7, 6, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 8, 8, 7, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 5, 6, 5, 4, 3, 2, 8, 6, 1, 5, 8, 6, 9, 6, 3, 3, 4, 5, 5, 6, 7, 7, 7, 5, 4, 5, 6, 7, 6, 4, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 19, 0, 24, 36, 68, 45, 13, 11, 8, 5, 4, 5, 8, 9, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 2, 4, 5, 5, 4, 4, 5, 7, 0, 3, 7, 9, 8, 6, 4, 4, 7, 6, 4, 4, 6, 6, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 3, 5, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 9, 18, 18, 9, 3, 5, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 4, 5, 5, 5, 6, 6, 7, 7, 3, 4, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 7, 7, 7, 6, 6, 6, 14, 13, 10, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 7, 5, 4, 5, 6, 7, 6, 4, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 3, 3, 5, 9, 5, 4, 0, 3, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 6, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 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4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 4, 4, 5, 5, 2, 5, 6, 5, 3, 2, 4, 6, 6, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 0, 3, 15, 4, 0, 42, 5, 1, 6, 5, 4, 4, 6, 6, 5, 4, 2, 2, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 7, 7, 7, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 7, 8, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 6, 5, 4, 2, 0, 2, 3, 4, 5, 5, 5, 5, 5, 3, 3, 4, 6, 8, 8, 5, 3, 8, 7, 6, 5, 5, 5, 6, 7, 5, 5, 7, 7, 7, 7, 6, 5, 4, 7, 9, 8, 4, 3, 7, 11, 17, 20, 18, 9, 3, 5, 6, 4, 6, 4, 2, 3, 4, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 3, 5, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 13, 13, 62, 52, 4, 20, 14, 12, 6, 6, 6, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 6, 7, 7, 5, 2, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 5, 6, 8, 9, 6, 8, 10, 9, 5, 2, 2, 3, 5, 5, 6, 7, 7, 6, 5, 5, 7, 5, 3, 3, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 5, 5, 5, 7, 6, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 12, 0, 8, 1, 1, 40, 1, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 4, 5, 6, 4, 4, 3, 2, 2, 3, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 3, 2, 2, 5, 7, 3, 12, 0, 3, 6, 0, 0, 2, 2, 4, 5, 5, 4, 4, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 3, 2, 2, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 4, 4, 4, 5, 6, 7, 8, 7, 6, 5, 4, 5, 6, 6, 12, 1, 0, 13, 12, 61, 10, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 8, 9, 7, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 6, 13, 0, 9, 23, 0, 12, 7, 5, 3, 1, 1, 3, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 6, 8, 9, 8, 6, 5, 10, 9, 8, 7, 5, 4, 3, 2, 5, 4, 4, 7, 10, 10, 6, 3, 2, 4, 6, 6, 5, 5, 6, 7, 7, 6, 4, 4, 6, 6, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 3, 5, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 5, 5, 6, 5, 3, 7, 7, 6, 5, 4, 4, 4, 4, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 8, 7, 5, 5, 6, 7, 5, 5, 5, 6, 7, 7, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 5, 4, 3, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 2, 2, 2, 3, 3, 3, 4, 4, 2, 4, 6, 5, 3, 2, 3, 6, 5, 4, 3, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 2, 8, 9, 0, 17, 14, 98, 24, 2, 6, 5, 4, 4, 6, 6, 5, 4, 1, 2, 3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 8, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 3, 4, 5, 6, 5, 4, 3, 2, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 4, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 7, 7, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 4, 5, 6, 6, 6, 5, 4, 7, 6, 5, 4, 5, 6, 8, 9, 6, 5, 3, 2, 2, 3, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 2, 0, 1, 2, 4, 5, 6, 5, 4, 4, 3, 3, 4, 6, 8, 8, 5, 2, 10, 9, 7, 6, 5, 6, 6, 7, 2, 3, 4, 5, 6, 5, 4, 3, 5, 8, 11, 9, 5, 5, 9, 13, 1, 7, 7, 0, 0, 3, 7, 7, 7, 4, 2, 2, 3, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 6, 3, 5, 6, 5, 2, 1, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 5, 4, 3, 0, 27, 4, 20, 22, 0, 16, 3, 3, 3, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 6, 7, 7, 5, 2, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 5, 8, 11, 13, 9, 5, 2, 1, 2, 4, 4, 3, 4, 5, 7, 8, 8, 7, 5, 4, 9, 5, 2, 2, 5, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 5, 5, 6, 6, 9, 8, 6, 5, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 18, 0, 6, 4, 10, 1, 8, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 3, 2, 3, 4, 5, 7, 6, 6, 5, 5, 6, 6, 7, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 6, 6, 6, 4, 1, 1, 3, 5, 4, 14, 6, 8, 10, 0, 34, 0, 3, 5, 7, 7, 6, 5, 7, 9, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 7, 7, 6, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 4, 4, 4, 5, 6, 7, 9, 8, 6, 5, 4, 5, 6, 7, 1, 1, 7, 11, 0, 39, 0, 7, 5, 4, 3, 4, 6, 7, 6, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 7, 7, 6, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 4, 6, 6, 4, 2, 3, 3, 5, 6, 6, 6, 6, 6, 8, 6, 5, 5, 5, 5, 4, 2, 7, 6, 4, 3, 3, 4, 6, 7, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 4, 4, 3, 3, 1, 2, 2, 3, 3, 4, 4, 5, 2, 3, 5, 6, 7, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 10, 4, 3, 8, 9, 3, 1, 3, 3, 3, 3, 4, 4, 4, 5, 5, 8, 8, 7, 6, 4, 3, 2, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 7, 4, 3, 5, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 3, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 3, 2, 2, 3, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 5, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 10, 9, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 8, 16, 30, 37, 25, 7, 7, 6, 4, 3, 3, 4, 6, 7, 4, 3, 3, 2, 2, 3, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 5, 6, 7, 7, 6, 5, 3, 2, 6, 7, 7, 7, 7, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 3, 2, 2, 3, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 15, 17, 11, 7, 8, 7, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 7, 8, 7, 5, 4, 5, 7, 4, 6, 7, 5, 3, 5, 13, 20, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 6, 7, 7, 4, 2, 4, 4, 5, 6, 6, 6, 5, 5, 8, 5, 3, 6, 10, 12, 9, 5, 5, 6, 7, 8, 7, 5, 4, 3, 9, 7, 5, 4, 3, 5, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 3, 2, 4, 5, 2, 1, 1, 3, 6, 7, 7, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 5, 3, 3, 5, 7, 9, 10, 8, 5, 3, 2, 7, 5, 3, 1, 2, 4, 7, 10, 7, 7, 6, 6, 4, 4, 3, 3, 8, 7, 7, 6, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 3, 6, 11, 12, 9, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 8, 8, 7, 5, 2, 0, 1, 2, 4, 5, 5, 5, 4, 4, 1, 3, 5, 4, 3, 4, 8, 12, 22, 7, 0, 5, 8, 3, 3, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 3, 2, 2, 2, 2, 4, 5, 5, 6, 6, 7, 7, 8, 6, 5, 4, 5, 7, 8, 7, 6, 5, 6, 7, 7, 7, 7, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 1, 2, 4, 5, 4, 3, 3, 3, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 4, 3, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 6, 7, 6, 4, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 3, 5, 7, 7, 6, 3, 4, 5, 6, 6, 6, 6, 5, 6, 4, 3, 4, 6, 7, 6, 4, 6, 6, 4, 4, 4, 4, 6, 6, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 2, 3, 3, 3, 3, 3, 4, 4, 6, 5, 4, 5, 5, 5, 3, 1, 4, 5, 5, 6, 6, 5, 5, 4, 7, 2, 2, 7, 8, 4, 2, 4, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 3, 6, 17, 16, 5, 4, 13, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 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5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 7, 8, 8, 6, 4, 5, 5, 5, 6, 5, 5, 4, 4, 6, 3, 1, 4, 8, 10, 7, 3, 5, 24, 31, 16, 3, 4, 8, 8, 8, 7, 5, 4, 4, 6, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 5, 4, 3, 4, 6, 7, 5, 3, 4, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 6, 8, 8, 7, 6, 5, 4, 6, 5, 4, 3, 4, 5, 7, 9, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 4, 3, 6, 10, 11, 8, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 3, 1, 12, 10, 8, 5, 3, 2, 2, 2, 4, 5, 6, 5, 3, 3, 6, 9, 22, 9, 2, 7, 8, 2, 0, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 5, 5, 6, 6, 6, 6, 6, 7, 6, 5, 4, 5, 7, 8, 7, 6, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 3, 3, 4, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 1, 3, 5, 5, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 2, 5, 7, 6, 4, 3, 5, 8, 6, 6, 5, 5, 5, 5, 4, 4, 3, 5, 6, 6, 4, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 1, 1, 3, 5, 7, 7, 3, 4, 5, 6, 6, 6, 5, 5, 4, 3, 2, 4, 6, 8, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 2, 0, 0, 3, 7, 9, 7, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 1, 1, 5, 7, 5, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 2, 3, 3, 4, 6, 7, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 0, 18, 51, 49, 17, 1, 11, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 5, 6, 5, 4, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 8, 9, 5, 2, 3, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 4, 5, 5, 2, 6, 8, 4, 0, 2, 13, 24, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 8, 4, 1, 3, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 7, 5, 5, 6, 7, 6, 8, 9, 6, 2, 1, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 7, 9, 10, 8, 7, 7, 6, 6, 5, 5, 4, 4, 3, 4, 2, 0, 2, 6, 7, 4, 1, 1, 25, 31, 11, 0, 5, 8, 1, 7, 6, 5, 5, 6, 7, 9, 10, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 6, 5, 4, 5, 7, 12, 9, 6, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 6, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 4, 2, 4, 8, 9, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 16, 14, 9, 5, 3, 3, 4, 5, 6, 7, 7, 5, 3, 3, 4, 6, 16, 7, 2, 7, 9, 4, 1, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 6, 6, 6, 6, 5, 5, 5, 5, 6, 4, 4, 5, 7, 8, 7, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 6, 7, 8, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 4, 6, 6, 4, 1, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 0, 5, 9, 7, 3, 1, 5, 10, 7, 6, 6, 5, 5, 4, 4, 3, 2, 4, 5, 5, 5, 5, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 1, 1, 3, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 4, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 3, 3, 2, 2, 3, 0, 0, 3, 8, 10, 8, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 3, 2, 4, 6, 5, 3, 2, 5, 5, 6, 6, 6, 7, 7, 7, 2, 3, 3, 4, 6, 7, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 0, 21, 53, 52, 19, 1, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 4, 4, 6, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 4, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 7, 9, 7, 4, 5, 8, 11, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 5, 6, 3, 0, 4, 12, 20, 7, 6, 6, 5, 5, 6, 6, 7, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 6, 6, 6, 6, 4, 4, 5, 5, 4, 4, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 6, 5, 4, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 2, 1, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 6, 7, 7, 5, 5, 6, 8, 6, 8, 9, 8, 5, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 6, 8, 9, 8, 7, 8, 7, 6, 5, 4, 3, 3, 3, 4, 2, 1, 3, 5, 6, 3, 1, 2, 10, 10, 2, 3, 11, 8, 0, 6, 6, 5, 6, 7, 8, 10, 11, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 7, 5, 5, 6, 7, 12, 9, 5, 3, 4, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 5, 4, 3, 4, 6, 8, 9, 8, 5, 6, 8, 8, 9, 8, 7, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 3, 2, 3, 5, 6, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 10, 8, 6, 5, 5, 6, 7, 9, 6, 6, 6, 5, 4, 4, 4, 5, 6, 1, 1, 6, 9, 7, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 9, 9, 7, 6, 4, 7, 7, 6, 6, 5, 4, 4, 4, 5, 4, 3, 4, 6, 7, 6, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 3, 5, 7, 6, 3, 1, 4, 4, 5, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 8, 8, 7, 7, 6, 0, 5, 9, 7, 3, 1, 5, 10, 7, 6, 6, 5, 5, 4, 4, 3, 2, 4, 5, 5, 5, 5, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 6, 8, 8, 5, 2, 4, 5, 6, 6, 6, 5, 4, 4, 7, 6, 4, 4, 6, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 4, 3, 3, 3, 7, 5, 3, 3, 4, 4, 0, 0, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 5, 6, 3, 0, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 3, 6, 14, 13, 5, 4, 10, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 4, 4, 6, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 7, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 3, 5, 7, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 4, 2, 3, 5, 7, 8, 8, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 4, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 7, 4, 4, 5, 5, 4, 4, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 5, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 2, 2, 3, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 5, 7, 7, 5, 5, 7, 9, 5, 7, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 6, 4, 3, 4, 6, 7, 7, 6, 9, 8, 6, 4, 3, 3, 3, 4, 5, 4, 4, 5, 6, 6, 4, 3, 7, 2, 2, 8, 11, 9, 6, 6, 5, 5, 5, 6, 7, 8, 9, 10, 7, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 7, 5, 5, 6, 7, 7, 5, 3, 2, 4, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 7, 8, 8, 4, 4, 5, 6, 6, 6, 5, 4, 6, 4, 2, 3, 7, 9, 9, 8, 5, 7, 8, 9, 9, 8, 6, 5, 6, 6, 5, 5, 5, 5, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 3, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 5, 6, 2, 3, 4, 5, 6, 7, 7, 7, 4, 4, 4, 5, 6, 6, 6, 5, 2, 0, 1, 6, 8, 7, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 9, 9, 7, 6, 4, 6, 6, 6, 5, 4, 4, 3, 3, 5, 4, 3, 4, 6, 7, 6, 5, 4, 4, 4, 3, 3, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 4, 1, 4, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 6, 7, 7, 8, 8, 7, 7, 6, 2, 5, 7, 6, 4, 3, 5, 8, 6, 6, 5, 5, 5, 5, 4, 4, 3, 5, 6, 6, 4, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 8, 11, 13, 12, 7, 4, 5, 5, 6, 6, 6, 5, 4, 3, 8, 7, 5, 5, 5, 5, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 4, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 1, 2, 3, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 6, 5, 4, 5, 8, 6, 2, 4, 5, 5, 5, 6, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 4, 0, 0, 2, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 6, 7, 6, 5, 4, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 2, 2, 6, 10, 8, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 7, 4, 2, 4, 8, 9, 5, 0, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 7, 7, 6, 5, 4, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 6, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 3, 1, 4, 6, 5, 4, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 5, 6, 6, 6, 6, 7, 9, 5, 6, 7, 7, 8, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 3, 3, 5, 6, 5, 4, 8, 7, 5, 4, 3, 3, 4, 5, 6, 6, 6, 7, 6, 6, 5, 4, 4, 3, 9, 16, 9, 0, 0, 14, 4, 4, 5, 6, 6, 7, 7, 7, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 6, 5, 4, 5, 7, 3, 2, 2, 3, 5, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 8, 9, 11, 12, 12, 3, 4, 5, 6, 6, 6, 5, 5, 6, 3, 2, 4, 8, 10, 9, 6, 6, 7, 8, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 4, 3, 2, 2, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 4, 3, 2, 4, 3, 3, 5, 7, 7, 6, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 3, 2, 3, 5, 6, 6, 4, 4, 4, 5, 6, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 4, 5, 5, 4, 3, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 4, 3, 2, 2, 6, 6, 7, 7, 7, 7, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 6, 7, 6, 4, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 9, 11, 10, 7, 4, 5, 6, 6, 6, 6, 5, 4, 3, 7, 5, 4, 4, 6, 6, 5, 3, 4, 4, 6, 6, 6, 6, 4, 4, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 6, 4, 8, 12, 11, 8, 6, 8, 11, 4, 5, 5, 6, 6, 5, 5, 4, 1, 5, 5, 4, 7, 12, 11, 6, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 9, 9, 8, 8, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 4, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 7, 7, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 7, 7, 5, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 9, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 9, 5, 4, 8, 10, 6, 5, 8, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 6, 5, 5, 6, 7, 7, 5, 3, 5, 5, 4, 4, 4, 4, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 7, 7, 7, 5, 4, 6, 6, 6, 5, 5, 5, 4, 4, 7, 6, 5, 4, 4, 4, 5, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 2, 1, 6, 8, 4, 2, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 6, 6, 6, 8, 9, 6, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 10, 8, 5, 4, 5, 6, 5, 4, 8, 6, 4, 3, 3, 4, 6, 7, 6, 7, 7, 7, 6, 5, 4, 4, 0, 4, 10, 10, 4, 0, 0, 7, 4, 4, 5, 5, 5, 5, 5, 4, 8, 8, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 5, 4, 3, 4, 6, 3, 3, 4, 6, 8, 8, 5, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 10, 10, 3, 4, 5, 6, 6, 6, 6, 5, 6, 3, 2, 5, 10, 11, 7, 3, 6, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 6, 4, 3, 5, 5, 4, 3, 3, 3, 2, 2, 6, 5, 4, 5, 7, 7, 4, 1, 4, 5, 5, 3, 2, 2, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 4, 3, 2, 3, 5, 6, 5, 4, 3, 4, 7, 8, 8, 7, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 6, 3, 2, 3, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 7, 7, 6, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 5, 6, 5, 3, 6, 6, 6, 6, 6, 5, 3, 3, 4, 3, 3, 4, 6, 7, 7, 6, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 25, 29, 30, 22, 11, 3, 2, 5, 4, 5, 5, 6, 6, 5, 5, 4, 0, 3, 4, 3, 8, 15, 16, 10, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 4, 5, 4, 2, 6, 11, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 4, 3, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 7, 7, 5, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 9, 10, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 5, 1, 1, 5, 4, 1, 4, 12, 3, 4, 6, 7, 7, 6, 4, 3, 4, 3, 3, 2, 2, 3, 3, 4, 5, 7, 8, 8, 6, 5, 8, 10, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 7, 8, 7, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 8, 7, 5, 4, 3, 3, 4, 5, 6, 7, 7, 7, 7, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 3, 2, 2, 3, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 1, 0, 6, 8, 3, 0, 0, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 2, 4, 6, 6, 6, 6, 8, 10, 7, 6, 4, 3, 3, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 13, 10, 7, 5, 6, 6, 5, 4, 7, 6, 4, 2, 3, 4, 6, 8, 5, 6, 7, 7, 5, 4, 3, 4, 4, 7, 5, 2, 7, 15, 10, 0, 4, 4, 4, 5, 4, 4, 3, 2, 9, 8, 7, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 3, 2, 4, 5, 4, 5, 6, 9, 10, 9, 5, 1, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 6, 6, 6, 6, 3, 3, 6, 11, 11, 6, 1, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 4, 3, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 10, 10, 9, 7, 4, 2, 6, 5, 2, 1, 1, 3, 5, 7, 9, 7, 5, 6, 7, 6, 2, 0, 0, 2, 3, 1, 1, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 3, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5, 6, 4, 3, 2, 3, 5, 6, 5, 4, 2, 4, 8, 10, 10, 8, 4, 2, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 11, 7, 3, 1, 2, 4, 5, 6, 6, 6, 6, 6, 6, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 6, 7, 7, 8, 1, 1, 2, 3, 4, 4, 4, 3, 4, 4, 4, 4, 5, 6, 7, 7, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 3, 5, 7, 9, 42, 255, 93, 37, 3, 11, 4, 11, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 4, 2, 2, 5, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 4, 6, 7, 4, 1, 2, 6, 10, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 8, 8, 7, 5, 5, 5, 6, 7, 8, 7, 6, 6, 5, 5, 6, 6, 6, 5, 4, 2, 2, 3, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 6, 6, 7, 7, 5, 6, 6, 6, 6, 5, 4, 3, 8, 6, 4, 4, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 0, 9, 12, 6, 10, 7, 6, 9, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 5, 5, 3, 2, 2, 3, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 7, 1, 0, 2, 7, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 6, 7, 8, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 6, 7, 7, 56, 23, 2, 8, 12, 2, 0, 6, 10, 8, 6, 5, 5, 6, 8, 10, 4, 4, 4, 4, 4, 4, 4, 4, 9, 7, 5, 6, 8, 8, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 7, 2, 4, 5, 4, 2, 2, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 4, 3, 3, 3, 3, 4, 5, 6, 8, 7, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 2, 2, 2, 4, 7, 7, 5, 3, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 6, 2, 1, 4, 5, 3, 4, 5, 7, 8, 8, 7, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 8, 7, 5, 5, 5, 5, 7, 8, 2, 2, 3, 4, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 9, 10, 10, 8, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 6, 5, 3, 2, 5, 4, 3, 3, 4, 5, 7, 8, 7, 6, 4, 3, 3, 4, 6, 7, 7, 5, 4, 4, 6, 8, 8, 7, 3, 4, 6, 7, 7, 6, 4, 3, 0, 3, 6, 5, 2, 1, 2, 4, 3, 4, 5, 5, 4, 4, 6, 8, 2, 6, 7, 4, 6, 9, 7, 0, 0, 24, 6, 4, 0, 23, 5, 6, 3, 3, 3, 4, 4, 4, 5, 5, 3, 3, 3, 5, 6, 6, 4, 1, 4, 5, 6, 8, 9, 9, 9, 9, 4, 5, 5, 6, 6, 5, 5, 4, 14, 76, 9, 0, 18, 0, 14, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 6, 6, 7, 8, 2, 2, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 5, 5, 6, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 7, 8, 27, 153, 66, 22, 1, 9, 7, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 5, 3, 3, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 5, 6, 7, 7, 6, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 5, 4, 3, 4, 7, 7, 6, 5, 4, 5, 5, 5, 7, 6, 5, 3, 3, 3, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 6, 7, 8, 7, 7, 6, 5, 5, 5, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 5, 6, 6, 6, 6, 5, 4, 3, 8, 6, 4, 4, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 4, 0, 1, 0, 8, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 4, 2, 1, 2, 4, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 8, 5, 4, 4, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 6, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 6, 8, 10, 11, 23, 5, 0, 3, 5, 0, 0, 6, 9, 7, 5, 4, 4, 5, 7, 9, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 5, 6, 8, 8, 6, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 6, 2, 4, 5, 4, 2, 2, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 2, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 3, 4, 5, 6, 8, 7, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 5, 7, 7, 5, 3, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 2, 1, 4, 9, 7, 2, 3, 4, 5, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 8, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 2, 3, 4, 6, 7, 8, 8, 5, 5, 6, 6, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 5, 4, 3, 4, 4, 4, 4, 5, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 3, 4, 6, 7, 7, 6, 4, 4, 6, 6, 6, 6, 4, 4, 3, 5, 8, 7, 5, 4, 4, 6, 5, 6, 6, 6, 5, 5, 7, 9, 6, 10, 10, 5, 3, 5, 5, 2, 9, 0, 62, 32, 22, 0, 25, 0, 3, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 7, 8, 8, 6, 4, 3, 4, 5, 7, 8, 8, 8, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 50, 5, 0, 16, 0, 13, 8, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 6, 7, 7, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 15, 35, 34, 9, 2, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 8, 6, 4, 3, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 6, 6, 7, 9, 10, 9, 6, 4, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 5, 8, 8, 6, 4, 3, 4, 6, 6, 5, 4, 3, 4, 4, 4, 7, 7, 6, 5, 4, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 6, 6, 6, 6, 5, 4, 3, 8, 6, 4, 4, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 15, 45, 16, 20, 6, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 4, 2, 2, 4, 6, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 3, 3, 4, 4, 8, 8, 8, 5, 4, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 6, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 6, 7, 9, 10, 0, 0, 2, 6, 5, 2, 5, 10, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 6, 8, 8, 6, 5, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 2, 2, 3, 3, 4, 5, 3, 4, 5, 4, 3, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 7, 7, 7, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 5, 7, 8, 6, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 1, 2, 9, 14, 10, 1, 3, 3, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 3, 4, 6, 7, 7, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 4, 2, 3, 5, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 7, 7, 6, 5, 5, 6, 6, 7, 7, 7, 5, 6, 8, 10, 7, 11, 11, 5, 1, 3, 6, 6, 0, 13, 87, 159, 2, 16, 26, 7, 4, 5, 5, 5, 6, 6, 6, 7, 6, 5, 5, 6, 8, 8, 6, 4, 2, 3, 4, 6, 6, 7, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 1, 19, 4, 4, 10, 2, 7, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 3, 3, 3, 4, 5, 6, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 6, 7, 7, 6, 6, 5, 4, 4, 3, 3, 3, 3, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 4, 4, 4, 5, 6, 7, 8, 7, 6, 6, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 12, 0, 12, 7, 5, 5, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 8, 6, 4, 4, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 8, 6, 5, 7, 9, 10, 6, 2, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 8, 9, 8, 5, 4, 5, 7, 6, 5, 4, 3, 3, 3, 3, 4, 7, 7, 7, 6, 6, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 6, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 7, 5, 3, 3, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 1, 13, 38, 81, 21, 17, 1, 4, 6, 6, 6, 6, 6, 6, 6, 6, 1, 3, 4, 4, 4, 4, 6, 7, 3, 4, 4, 5, 5, 6, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 5, 2, 2, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 3, 6, 5, 5, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 5, 5, 5, 0, 6, 11, 9, 7, 8, 8, 8, 5, 5, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 4, 3, 3, 2, 2, 8, 7, 7, 6, 5, 4, 3, 3, 4, 3, 3, 3, 3, 4, 5, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 5, 5, 6, 7, 8, 7, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 7, 10, 13, 10, 3, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 6, 5, 5, 4, 4, 3, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 3, 4, 6, 7, 7, 6, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 4, 2, 2, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 4, 4, 3, 3, 5, 6, 7, 6, 4, 4, 6, 8, 5, 6, 6, 4, 4, 5, 6, 6, 8, 5, 17, 0, 48, 2, 0, 0, 5, 5, 6, 6, 6, 7, 7, 7, 5, 3, 3, 3, 5, 5, 4, 2, 2, 3, 4, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 0, 6, 7, 3, 3, 0, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 4, 4, 5, 5, 5, 6, 6, 6, 3, 3, 3, 4, 5, 6, 8, 9, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 6, 5, 5, 5, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 5, 6, 7, 8, 7, 6, 6, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 8, 3, 1, 9, 7, 6, 0, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 5, 5, 6, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 10, 6, 3, 3, 5, 7, 5, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 8, 9, 6, 1, 1, 5, 9, 6, 5, 4, 3, 3, 3, 3, 4, 7, 7, 7, 7, 6, 6, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 6, 5, 5, 5, 5, 6, 7, 8, 9, 9, 8, 7, 7, 4, 4, 5, 5, 5, 5, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 7, 5, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 8, 19, 53, 0, 1, 0, 13, 6, 6, 6, 6, 6, 6, 6, 6, 0, 2, 5, 6, 5, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 2, 3, 1, 0, 2, 8, 6, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 6, 5, 5, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 4, 3, 8, 8, 4, 4, 8, 6, 1, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 7, 7, 7, 2, 3, 3, 4, 6, 7, 7, 8, 7, 6, 6, 5, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 6, 6, 5, 5, 4, 3, 3, 3, 7, 7, 6, 5, 4, 3, 3, 2, 4, 3, 3, 3, 3, 4, 5, 6, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 6, 5, 5, 7, 7, 6, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 15, 12, 8, 8, 8, 6, 6, 6, 6, 5, 5, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 6, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 6, 4, 2, 2, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 3, 4, 5, 5, 4, 2, 2, 4, 6, 7, 3, 2, 4, 7, 7, 4, 1, 3, 16, 4, 9, 0, 12, 9, 21, 5, 5, 6, 6, 6, 7, 7, 7, 5, 4, 2, 3, 4, 5, 4, 3, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 13, 0, 7, 7, 0, 4, 0, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 7, 3, 3, 3, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 6, 7, 7, 7, 6, 5, 4, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 5, 6, 7, 8, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 2, 23, 0, 8, 6, 9, 0, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 5, 7, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 10, 7, 4, 2, 3, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 6, 8, 5, 0, 0, 3, 8, 6, 6, 5, 4, 3, 4, 4, 4, 6, 6, 6, 7, 6, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 4, 3, 3, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 8, 10, 10, 4, 5, 6, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 6, 4, 3, 3, 5, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 5, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 2, 0, 22, 0, 9, 8, 13, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 8, 7, 5, 3, 2, 2, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 5, 5, 5, 5, 0, 6, 7, 3, 3, 8, 6, 0, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 5, 4, 4, 6, 5, 5, 4, 3, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 4, 5, 5, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 4, 5, 7, 7, 7, 6, 4, 2, 5, 8, 7, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 6, 5, 6, 7, 2, 3, 3, 4, 6, 7, 7, 8, 8, 8, 7, 6, 6, 6, 6, 7, 7, 5, 3, 4, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 5, 5, 4, 3, 3, 3, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 8, 6, 4, 4, 5, 6, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 13, 18, 12, 5, 4, 6, 7, 7, 7, 6, 5, 5, 6, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 8, 7, 7, 6, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 5, 3, 3, 4, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 7, 8, 8, 7, 5, 4, 5, 5, 3, 1, 1, 3, 4, 10, 5, 3, 5, 7, 4, 2, 3, 0, 15, 1, 0, 22, 23, 0, 0, 4, 5, 5, 5, 6, 6, 6, 7, 8, 6, 4, 4, 6, 7, 7, 6, 3, 3, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 10, 0, 4, 5, 1, 7, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 6, 6, 6, 7, 7, 4, 4, 4, 4, 4, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 2, 2, 3, 4, 4, 6, 6, 6, 6, 6, 5, 4, 3, 8, 8, 7, 6, 5, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 7, 8, 3, 14, 6, 3, 5, 12, 0, 11, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 8, 8, 8, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 1, 7, 12, 11, 5, 2, 3, 7, 7, 7, 6, 5, 4, 5, 5, 5, 4, 5, 6, 6, 6, 4, 3, 2, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 4, 3, 3, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 7, 9, 11, 13, 6, 6, 7, 8, 6, 4, 1, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 6, 4, 3, 3, 5, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 3, 3, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 14, 12, 17, 10, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 5, 4, 6, 9, 12, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 5, 6, 0, 14, 21, 13, 5, 5, 6, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 4, 6, 5, 4, 4, 3, 3, 3, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 4, 5, 5, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 7, 8, 5, 3, 5, 7, 6, 6, 8, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 8, 6, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 5, 5, 5, 6, 7, 5, 3, 4, 6, 8, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 8, 6, 3, 3, 4, 5, 4, 3, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 10, 11, 7, 3, 4, 6, 5, 7, 6, 5, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 8, 8, 7, 6, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 5, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 3, 4, 5, 5, 7, 6, 5, 5, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 9, 7, 4, 4, 5, 6, 5, 4, 6, 6, 4, 4, 4, 4, 6, 6, 8, 6, 5, 7, 9, 9, 7, 4, 5, 6, 6, 4, 2, 1, 3, 5, 7, 5, 5, 6, 3, 2, 9, 20, 21, 4, 26, 16, 0, 0, 21, 17, 3, 4, 4, 4, 5, 5, 5, 6, 9, 6, 4, 4, 6, 7, 7, 6, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 6, 1, 3, 6, 8, 10, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 2, 2, 3, 3, 4, 6, 6, 6, 6, 5, 4, 3, 3, 9, 9, 8, 7, 6, 6, 6, 7, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 3, 4, 5, 6, 7, 8, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 3, 5, 7, 9, 9, 0, 16, 0, 4, 15, 0, 11, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 3, 5, 8, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 9, 12, 11, 7, 4, 4, 5, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 1, 10, 19, 20, 13, 7, 6, 7, 8, 7, 6, 6, 5, 5, 6, 6, 3, 4, 5, 6, 5, 4, 2, 1, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 3, 2, 3, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 7, 8, 9, 10, 14, 15, 16, 16, 14, 11, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 6, 4, 2, 3, 5, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 3, 5, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 0, 10, 11, 2, 5, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 2, 4, 11, 19, 26, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 5, 5, 6, 6, 0, 22, 35, 23, 6, 2, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 6, 6, 4, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 4, 4, 6, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 3, 2, 2, 2, 5, 1, 2, 7, 5, 0, 0, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 10, 8, 5, 3, 4, 6, 8, 8, 7, 6, 4, 3, 2, 2, 7, 7, 5, 5, 4, 4, 4, 4, 8, 5, 3, 4, 7, 9, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 3, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 4, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 8, 5, 3, 2, 3, 4, 4, 3, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 1, 2, 6, 6, 3, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 7, 6, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 8, 8, 7, 6, 4, 3, 2, 2, 2, 3, 3, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 5, 6, 8, 7, 5, 4, 3, 3, 4, 5, 7, 6, 4, 3, 3, 4, 6, 7, 10, 7, 5, 5, 6, 6, 6, 4, 7, 6, 4, 3, 3, 4, 6, 7, 6, 4, 3, 4, 7, 8, 5, 2, 6, 7, 7, 5, 3, 2, 4, 6, 0, 2, 6, 6, 0, 1, 19, 40, 33, 17, 0, 5, 22, 14, 0, 4, 3, 3, 3, 4, 4, 4, 5, 5, 7, 4, 2, 1, 3, 5, 5, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 0, 15, 1, 3, 11, 6, 9, 0, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 7, 3, 4, 4, 5, 5, 6, 6, 7, 6, 7, 6, 4, 2, 2, 4, 7, 2, 3, 5, 6, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 6, 7, 5, 1, 1, 3, 6, 8, 8, 6, 5, 4, 3, 3, 3, 5, 4, 4, 4, 4, 5, 6, 7, 1, 2, 5, 7, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 9, 5, 1, 1, 5, 7, 6, 5, 4, 5, 6, 8, 8, 7, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 7, 7, 5, 3, 6, 6, 6, 7, 7, 8, 8, 9, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 5, 4, 4, 5, 8, 4, 3, 2, 3, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 4, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 8, 9, 6, 6, 8, 27, 51, 37, 26, 20, 5, 8, 12, 5, 5, 5, 5, 4, 3, 2, 1, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 3, 5, 9, 11, 11, 9, 5, 3, 4, 4, 4, 5, 5, 6, 6, 6, 1, 3, 5, 7, 8, 7, 5, 4, 6, 4, 2, 2, 4, 5, 4, 4, 5, 4, 5, 8, 11, 12, 8, 5, 5, 4, 4, 3, 3, 2, 2, 1, 4, 4, 4, 5, 5, 6, 6, 6, 12, 1, 0, 4, 2, 0, 34, 97, 13, 8, 3, 2, 4, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 9, 12, 9, 3, 0, 1, 4, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 5, 6, 7, 9, 10, 6, 6, 7, 7, 6, 5, 3, 1, 8, 8, 8, 6, 5, 6, 9, 11, 4, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 5, 7, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 7, 7, 5, 4, 4, 4, 4, 4, 3, 3, 3, 6, 8, 8, 6, 4, 8, 6, 6, 7, 6, 3, 2, 2, 7, 6, 5, 5, 7, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 4, 4, 6, 6, 5, 4, 3, 5, 6, 5, 2, 0, 0, 1, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 6, 5, 5, 4, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 7, 7, 6, 5, 3, 2, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 3, 2, 4, 6, 6, 6, 6, 7, 9, 10, 9, 8, 5, 4, 9, 8, 6, 4, 0, 2, 15, 29, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 0, 2, 4, 6, 7, 6, 4, 3, 7, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 3, 2, 3, 4, 8, 0, 1, 8, 4, 3, 34, 75, 26, 20, 12, 8, 7, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 2, 2, 3, 5, 4, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 3, 3, 3, 3, 4, 5, 6, 8, 9, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 6, 5, 3, 2, 4, 6, 3, 4, 5, 6, 7, 6, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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6, 6, 6, 5, 7, 8, 7, 5, 3, 2, 2, 4, 3, 2, 3, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 4, 3, 3, 6, 6, 6, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 6, 6, 3, 0, 4, 10, 7, 10, 13, 15, 0, 2, 22, 0, 4, 4, 6, 7, 7, 7, 7, 7, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 8, 10, 12, 14, 15, 4, 5, 6, 6, 4, 4, 5, 6, 7, 6, 5, 5, 5, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 6, 8, 9, 9, 5, 2, 8, 8, 8, 7, 5, 4, 3, 3, 7, 7, 6, 5, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 1, 6, 2, 3, 10, 6, 0, 2, 1, 4, 6, 6, 3, 3, 6, 10, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 7, 7, 6, 6, 5, 5, 5, 5, 8, 6, 4, 3, 5, 6, 6, 5, 8, 7, 6, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 4, 6, 6, 5, 4, 4, 4, 3, 3, 13, 8, 4, 6, 9, 8, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 6, 4, 4, 3, 2, 3, 4, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 4, 4, 4, 5, 6, 6, 7, 5, 4, 4, 5, 6, 5, 4, 2, 6, 5, 1, 2, 8, 9, 6, 6, 5, 3, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 6, 6, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 6, 8, 7, 5, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 5, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 8, 12, 10, 5, 1, 2, 5, 3, 4, 4, 5, 6, 6, 6, 6, 12, 5, 1, 5, 8, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 3, 3, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 4, 5, 9, 11, 6, 0, 0, 4, 7, 4, 6, 7, 8, 8, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 1, 1, 3, 7, 8, 7, 5, 10, 9, 9, 8, 8, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 5, 6, 7, 8, 6, 6, 5, 5, 5, 5, 4, 4, 4, 6, 7, 7, 5, 3, 3, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 1, 2, 3, 5, 6, 6, 6, 6, 6, 7, 7, 7, 8, 7, 5, 3, 2, 3, 4, 3, 2, 6, 6, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 10, 8, 5, 3, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 6, 7, 8, 9, 21, 14, 5, 2, 4, 6, 5, 3, 4, 4, 4, 3, 4, 5, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 3, 5, 5, 3, 1, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 6, 8, 8, 6, 3, 3, 3, 6, 5, 4, 5, 7, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 5, 9, 9, 5, 3, 5, 4, 17, 6, 6, 8, 5, 11, 3, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 6, 8, 10, 11, 12, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 6, 8, 7, 5, 3, 7, 8, 8, 7, 4, 3, 3, 4, 6, 6, 5, 5, 4, 3, 3, 2, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 3, 8, 12, 1, 0, 8, 2, 4, 5, 5, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 3, 2, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 6, 8, 11, 13, 9, 9, 8, 6, 6, 5, 6, 6, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 2, 12, 15, 9, 5, 9, 13, 12, 6, 6, 6, 5, 5, 5, 4, 4, 9, 8, 7, 6, 4, 3, 2, 1, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 6, 7, 8, 6, 4, 3, 5, 6, 5, 4, 0, 5, 5, 1, 3, 12, 15, 11, 6, 4, 3, 4, 5, 6, 5, 3, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 3, 4, 6, 6, 4, 3, 3, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 6, 7, 5, 5, 4, 4, 4, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 7, 9, 7, 4, 2, 3, 5, 5, 5, 4, 4, 3, 3, 3, 2, 12, 6, 2, 5, 7, 6, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 7, 5, 4, 4, 6, 5, 8, 8, 5, 3, 4, 5, 4, 4, 6, 7, 6, 4, 2, 2, 3, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 4, 1, 3, 6, 9, 8, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 5, 6, 6, 6, 5, 5, 3, 3, 3, 4, 5, 6, 8, 9, 4, 4, 5, 5, 5, 5, 6, 6, 4, 6, 8, 7, 5, 4, 3, 4, 5, 5, 4, 3, 4, 5, 6, 7, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 9, 8, 6, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 5, 7, 8, 6, 6, 6, 7, 7, 7, 8, 8, 12, 8, 3, 1, 2, 4, 4, 3, 8, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 8, 7, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 7, 7, 5, 5, 7, 9, 6, 5, 4, 4, 4, 6, 7, 8, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 4, 2, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 2, 5, 7, 8, 6, 4, 4, 4, 6, 5, 4, 5, 7, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 8, 8, 6, 5, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 12, 17, 13, 7, 4, 3, 11, 0, 2, 15, 2, 1, 7, 4, 5, 5, 5, 5, 4, 4, 3, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 7, 6, 5, 3, 2, 6, 4, 3, 4, 5, 6, 5, 3, 6, 7, 8, 6, 3, 2, 4, 6, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 7, 9, 3, 2, 7, 4, 6, 19, 5, 4, 4, 5, 6, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 3, 3, 6, 6, 6, 5, 5, 5, 4, 4, 3, 5, 7, 6, 6, 8, 13, 18, 9, 8, 7, 6, 5, 4, 5, 5, 4, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 8, 8, 5, 5, 4, 5, 7, 9, 11, 12, 2, 34, 47, 24, 1, 0, 5, 4, 8, 7, 7, 7, 6, 6, 5, 5, 8, 7, 7, 6, 4, 3, 3, 2, 5, 4, 4, 4, 5, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 7, 9, 6, 4, 3, 4, 5, 5, 4, 5, 11, 11, 4, 6, 16, 19, 14, 5, 4, 3, 3, 5, 5, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 2, 4, 6, 6, 4, 3, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 5, 5, 6, 7, 7, 6, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 7, 8, 9, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 3, 4, 4, 6, 5, 5, 4, 3, 3, 3, 3, 10, 6, 5, 8, 8, 6, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 7, 6, 5, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 3, 3, 5, 5, 5, 5, 3, 3, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 3, 3, 2, 2, 2, 3, 3, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 5, 4, 5, 6, 4, 3, 5, 9, 11, 9, 7, 7, 3, 5, 6, 5, 2, 1, 3, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 17, 11, 5, 4, 6, 8, 7, 5, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 5, 7, 7, 3, 4, 4, 5, 5, 6, 6, 7, 3, 6, 8, 8, 6, 4, 3, 4, 6, 5, 4, 3, 4, 5, 7, 8, 2, 2, 3, 4, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 10, 8, 6, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 9, 7, 6, 5, 5, 7, 9, 11, 6, 6, 6, 7, 7, 8, 8, 8, 16, 11, 4, 1, 2, 4, 5, 4, 8, 8, 6, 5, 4, 3, 3, 3, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 2, 4, 5, 6, 6, 6, 0, 12, 22, 22, 12, 5, 7, 12, 7, 6, 5, 4, 5, 6, 8, 9, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 7, 7, 5, 3, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 1, 4, 7, 8, 7, 5, 4, 4, 4, 3, 2, 3, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 9, 9, 7, 5, 4, 2, 3, 3, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 0, 4, 15, 23, 20, 11, 5, 0, 5, 4, 9, 0, 0, 13, 1, 5, 5, 5, 5, 4, 3, 2, 1, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 9, 8, 7, 5, 4, 3, 2, 4, 5, 6, 6, 4, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 7, 8, 7, 5, 3, 1, 6, 4, 2, 2, 4, 5, 4, 4, 5, 6, 8, 6, 3, 2, 4, 7, 2, 3, 4, 6, 8, 10, 11, 12, 6, 6, 6, 5, 5, 4, 4, 4, 0, 9, 8, 4, 9, 8, 2, 3, 7, 4, 3, 4, 7, 8, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 6, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 9, 11, 9, 5, 5, 11, 17, 8, 7, 6, 5, 4, 3, 3, 3, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 5, 6, 7, 9, 10, 3, 4, 4, 6, 9, 13, 16, 18, 56, 101, 116, 75, 27, 13, 14, 11, 9, 8, 8, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 7, 7, 9, 7, 4, 3, 4, 5, 5, 4, 8, 14, 12, 3, 3, 12, 14, 8, 5, 4, 3, 3, 5, 5, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 3, 4, 6, 6, 5, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 3, 3, 2, 4, 5, 7, 8, 8, 7, 5, 4, 7, 7, 6, 6, 4, 4, 3, 3, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 7, 7, 6, 5, 6, 7, 9, 10, 6, 5, 5, 4, 4, 5, 5, 6, 5, 3, 0, 0, 2, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 7, 11, 10, 6, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 8, 8, 7, 6, 5, 5, 5, 5, 4, 5, 6, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 5, 4, 4, 4, 4, 4, 2, 3, 5, 6, 6, 5, 3, 2, 2, 2, 3, 4, 6, 7, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 8, 7, 5, 4, 4, 3, 2, 3, 3, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 5, 4, 5, 6, 13, 4, 0, 5, 8, 3, 0, 0, 3, 5, 7, 5, 3, 3, 6, 9, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 25, 18, 9, 6, 7, 8, 6, 4, 2, 3, 3, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 5, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 6, 4, 1, 3, 6, 8, 7, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 3, 1, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 7, 7, 6, 5, 3, 3, 5, 10, 15, 18, 15, 12, 8, 7, 8, 8, 6, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 7, 8, 8, 7, 6, 5, 2, 3, 5, 6, 7, 7, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 5, 3, 3, 0, 5, 9, 8, 4, 4, 10, 17, 31, 17, 3, 0, 8, 16, 17, 14, 3, 6, 6, 3, 4, 7, 7, 4, 3, 4, 4, 2, 1, 3, 6, 9, 10, 7, 5, 4, 6, 7, 6, 4, 4, 4, 4, 4, 4, 5, 7, 7, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 2, 6, 9, 9, 6, 3, 2, 3, 5, 8, 11, 11, 7, 3, 2, 2, 1, 5, 10, 13, 13, 10, 5, 1, 3, 3, 4, 5, 5, 6, 7, 7, 2, 4, 5, 3, 1, 0, 2, 4, 11, 1, 4, 10, 6, 7, 10, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 7, 7, 5, 5, 5, 5, 4, 3, 6, 10, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 7, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 6, 9, 11, 14, 15, 9, 10, 10, 8, 6, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 8, 9, 9, 9, 2, 5, 5, 2, 2, 6, 6, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 5, 6, 4, 5, 7, 9, 9, 7, 5, 4, 7, 6, 6, 5, 5, 6, 6, 7, 10, 6, 0, 2, 8, 4, 11, 32, 130, 241, 254, 170, 35, 26, 8, 1, 6, 7, 8, 8, 8, 6, 4, 3, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 15, 14, 8, 3, 1, 2, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 7, 6, 4, 2, 2, 4, 6, 7, 7, 7, 7, 7, 7, 6, 4, 4, 4, 5, 6, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 7, 5, 3, 4, 6, 7, 5, 3, 5, 6, 7, 8, 8, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 5, 7, 7, 2, 2, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 4, 5, 5, 5, 4, 2, 2, 3, 4, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 3, 2, 2, 2, 2, 3, 4, 6, 4, 3, 5, 7, 8, 5, 2, 7, 6, 5, 4, 3, 3, 3, 3, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 7, 8, 9, 5, 5, 4, 3, 4, 5, 7, 8, 3, 5, 8, 8, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 0, 2, 3, 3, 2, 2, 4, 6, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 11, 11, 9, 6, 4, 4, 6, 6, 6, 5, 4, 3, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 28, 24, 17, 9, 3, 3, 6, 10, 7, 5, 4, 5, 7, 7, 4, 2, 4, 3, 2, 2, 2, 4, 6, 8, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 4, 3, 4, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 6, 3, 1, 3, 6, 7, 4, 2, 3, 5, 7, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 8, 8, 8, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 4, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 7, 6, 6, 5, 5, 6, 6, 7, 8, 6, 5, 4, 5, 7, 11, 13, 12, 9, 5, 5, 6, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 2, 3, 4, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 8, 4, 0, 0, 4, 10, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 3, 1, 5, 8, 7, 4, 4, 7, 10, 17, 8, 0, 0, 7, 12, 11, 7, 4, 7, 7, 4, 3, 6, 6, 3, 2, 4, 5, 5, 4, 3, 4, 5, 9, 8, 7, 7, 7, 7, 7, 7, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 2, 6, 9, 9, 6, 3, 3, 3, 3, 6, 9, 9, 6, 4, 4, 5, 4, 5, 7, 9, 9, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 1, 2, 5, 8, 10, 9, 8, 0, 0, 5, 7, 0, 5, 11, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 6, 5, 4, 3, 2, 2, 3, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 7, 9, 9, 8, 9, 9, 8, 6, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 2, 5, 5, 1, 1, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 7, 8, 9, 3, 5, 6, 8, 8, 6, 5, 3, 7, 6, 6, 5, 5, 6, 6, 7, 7, 8, 5, 6, 8, 4, 13, 37, 201, 255, 255, 235, 74, 24, 0, 30, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 13, 12, 7, 3, 3, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 8, 6, 5, 3, 3, 5, 6, 8, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 5, 5, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 6, 7, 6, 4, 4, 5, 6, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 1, 2, 2, 1, 1, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 4, 4, 4, 4, 5, 6, 5, 3, 2, 3, 5, 6, 4, 2, 4, 4, 3, 3, 3, 4, 5, 5, 7, 7, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 6, 5, 5, 6, 5, 4, 4, 5, 6, 7, 8, 5, 3, 3, 6, 10, 11, 8, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 5, 4, 4, 5, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 6, 9, 10, 8, 5, 3, 3, 6, 6, 6, 6, 5, 4, 2, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 17, 14, 10, 4, 0, 1, 5, 8, 5, 5, 6, 7, 7, 7, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 4, 3, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 5, 3, 3, 5, 7, 8, 6, 4, 4, 5, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 7, 6, 5, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 7, 7, 6, 5, 5, 6, 6, 7, 8, 7, 6, 5, 4, 5, 5, 6, 7, 5, 3, 3, 4, 4, 4, 2, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 3, 4, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 7, 8, 4, 2, 8, 24, 38, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 5, 4, 3, 3, 4, 6, 7, 6, 5, 4, 3, 3, 1, 0, 3, 8, 9, 6, 2, 5, 8, 7, 4, 3, 6, 5, 2, 1, 4, 7, 8, 6, 4, 3, 2, 5, 6, 7, 7, 6, 6, 7, 8, 5, 5, 4, 4, 4, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 3, 5, 8, 8, 6, 4, 3, 4, 3, 5, 6, 6, 5, 5, 6, 8, 7, 6, 5, 4, 4, 5, 6, 7, 7, 7, 6, 5, 5, 4, 3, 3, 3, 1, 1, 5, 11, 14, 12, 9, 20, 15, 13, 6, 0, 1, 11, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 6, 6, 7, 8, 6, 4, 3, 4, 4, 4, 2, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 5, 7, 9, 11, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 4, 3, 3, 3, 3, 4, 6, 7, 8, 7, 6, 5, 6, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 1, 4, 4, 1, 1, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 9, 9, 9, 9, 3, 4, 5, 6, 6, 5, 4, 3, 6, 6, 5, 5, 5, 5, 6, 6, 2, 8, 7, 7, 7, 3, 12, 36, 142, 242, 246, 174, 47, 43, 16, 4, 5, 4, 4, 4, 4, 5, 5, 6, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 10, 9, 6, 4, 5, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 8, 7, 5, 4, 4, 5, 7, 8, 6, 6, 7, 7, 7, 6, 5, 4, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 3, 3, 4, 6, 7, 7, 5, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 5, 4, 4, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 7, 7, 6, 6, 6, 6, 7, 7, 8, 6, 4, 4, 6, 7, 6, 6, 3, 3, 2, 3, 4, 5, 6, 7, 7, 7, 8, 9, 9, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 8, 8, 6, 3, 1, 6, 5, 5, 5, 5, 6, 7, 7, 7, 1, 0, 4, 14, 18, 12, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 6, 5, 6, 7, 4, 5, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 8, 8, 6, 4, 3, 3, 7, 7, 7, 7, 6, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 2, 0, 1, 5, 8, 3, 5, 8, 8, 7, 6, 5, 6, 3, 4, 6, 7, 7, 5, 3, 1, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 5, 5, 5, 1, 2, 4, 4, 4, 4, 6, 7, 8, 7, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 11, 9, 6, 3, 1, 1, 1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 11, 10, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 4, 8, 7, 6, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 4, 3, 2, 4, 3, 2, 2, 3, 4, 4, 4, 6, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 7, 19, 36, 48, 8, 7, 5, 4, 3, 3, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 5, 4, 4, 5, 4, 4, 7, 9, 9, 5, 1, 2, 3, 6, 9, 10, 9, 6, 3, 5, 8, 8, 4, 3, 5, 5, 2, 4, 6, 8, 7, 5, 3, 3, 3, 2, 4, 5, 5, 3, 3, 4, 6, 6, 5, 4, 4, 4, 5, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 6, 6, 7, 4, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 4, 4, 5, 6, 7, 6, 5, 3, 2, 2, 3, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 4, 2, 3, 5, 8, 9, 9, 13, 0, 1, 14, 14, 9, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 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5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 8, 8, 6, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 6, 5, 4, 3, 3, 3, 7, 6, 5, 4, 4, 4, 4, 5, 8, 7, 6, 6, 6, 6, 7, 8, 7, 5, 4, 4, 4, 5, 6, 6, 4, 3, 3, 3, 3, 4, 5, 6, 4, 6, 8, 9, 9, 8, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 6, 6, 4, 2, 0, 5, 4, 4, 4, 4, 5, 5, 5, 7, 1, 0, 4, 13, 16, 11, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 9, 8, 6, 5, 5, 6, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 8, 8, 6, 5, 4, 4, 7, 7, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 4, 4, 4, 6, 8, 2, 5, 8, 8, 6, 4, 4, 5, 5, 6, 6, 7, 6, 4, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 5, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 4, 4, 4, 5, 5, 5, 5, 6, 2, 2, 4, 4, 4, 4, 4, 5, 7, 7, 6, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 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2, 2, 3, 5, 6, 6, 5, 3, 2, 3, 3, 4, 5, 5, 6, 7, 7, 3, 7, 9, 5, 0, 3, 14, 25, 124, 54, 5, 1, 1, 0, 5, 16, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 6, 5, 5, 5, 5, 0, 8, 10, 4, 1, 5, 6, 1, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 3, 4, 6, 6, 5, 5, 6, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 6, 8, 11, 12, 18, 18, 14, 7, 3, 5, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 5, 3, 2, 1, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 11, 13, 6, 4, 11, 9, 3, 7, 3, 22, 12, 4, 0, 26, 13, 0, 5, 4, 4, 4, 4, 5, 5, 6, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 5, 6, 7, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 7, 6, 6, 9, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 2, 2, 3, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 9, 9, 5, 3, 3, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 4, 5, 5, 5, 7, 9, 9, 8, 6, 7, 8, 7, 6, 5, 4, 3, 2, 3, 3, 2, 3, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 3, 5, 6, 3, 4, 4, 4, 4, 3, 2, 2, 2, 6, 9, 8, 5, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 5, 3, 3, 3, 5, 6, 6, 6, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9, 7, 7, 7, 8, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 6, 4, 2, 2, 3, 11, 8, 4, 3, 3, 4, 3, 2, 9, 7, 5, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 5, 6, 7, 7, 7, 7, 6, 6, 6, 7, 6, 3, 0, 3, 5, 6, 5, 3, 3, 5, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 1, 1, 1, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 4, 4, 4, 3, 3, 6, 6, 5, 4, 4, 4, 5, 5, 5, 4, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 9, 8, 7, 6, 5, 4, 4, 5, 3, 3, 3, 3, 4, 4, 5, 5, 4, 6, 7, 5, 3, 2, 4, 7, 8, 8, 7, 6, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 6, 5, 5, 6, 8, 8, 7, 5, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 7, 6, 5, 6, 7, 7, 7, 6, 7, 5, 3, 4, 6, 7, 5, 3, 2, 5, 5, 3, 4, 8, 8, 5, 5, 6, 7, 6, 5, 5, 6, 8, 25, 17, 7, 5, 9, 13, 14, 12, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 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4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 5, 6, 7, 7, 7, 7, 6, 7, 7, 7, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 7, 3, 2, 3, 5, 5, 5, 6, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 13, 12, 8, 5, 6, 8, 6, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 4, 5, 5, 7, 11, 15, 15, 13, 11, 10, 10, 5, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 6, 6, 7, 6, 5, 4, 3, 3, 7, 10, 9, 6, 3, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 5, 4, 3, 5, 6, 6, 7, 7, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 6, 6, 7, 8, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 6, 4, 2, 3, 4, 20, 12, 4, 1, 4, 7, 5, 2, 6, 6, 5, 5, 6, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 3, 4, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 7, 8, 8, 6, 5, 5, 7, 10, 9, 6, 2, 2, 4, 6, 5, 3, 3, 6, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 4, 4, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 3, 3, 9, 8, 7, 6, 5, 4, 4, 4, 6, 5, 4, 3, 3, 3, 4, 4, 4, 6, 7, 5, 2, 1, 3, 6, 9, 8, 7, 7, 6, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 8, 8, 7, 6, 4, 3, 2, 2, 7, 7, 6, 6, 4, 4, 3, 3, 4, 7, 9, 8, 5, 3, 3, 4, 2, 3, 5, 6, 7, 7, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 5, 6, 6, 6, 6, 6, 8, 7, 6, 5, 3, 3, 3, 4, 5, 3, 1, 4, 8, 10, 7, 3, 0, 4, 5, 3, 4, 8, 9, 7, 1, 4, 7, 9, 8, 6, 6, 7, 29, 17, 5, 2, 8, 13, 13, 10, 7, 7, 5, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 6, 4, 1, 3, 6, 8, 7, 5, 0, 0, 1, 4, 9, 9, 6, 3, 6, 6, 5, 4, 4, 5, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 4, 5, 6, 6, 5, 4, 4, 4, 5, 4, 9, 7, 0, 5, 10, 2, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 6, 5, 4, 4, 4, 9, 23, 27, 15, 4, 5, 6, 3, 5, 5, 5, 4, 4, 3, 3, 3, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 4, 3, 3, 3, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 4, 3, 2, 4, 5, 7, 14, 15, 11, 4, 3, 6, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 5, 7, 8, 9, 7, 6, 6, 5, 5, 6, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 0, 10, 9, 5, 6, 3, 0, 7, 8, 5, 10, 10, 9, 0, 3, 8, 6, 7, 8, 8, 8, 6, 4, 3, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 6, 6, 6, 4, 2, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 2, 3, 3, 4, 4, 3, 3, 2, 4, 4, 6, 7, 7, 7, 7, 7, 5, 5, 6, 6, 5, 3, 1, 0, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 6, 8, 9, 7, 3, 1, 2, 4, 6, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 7, 7, 5, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 0, 6, 10, 10, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 1, 6, 11, 12, 10, 6, 5, 5, 3, 3, 3, 3, 4, 5, 6, 7, 7, 6, 6, 6, 6, 8, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 9, 9, 8, 6, 5, 7, 8, 9, 9, 8, 7, 5, 4, 5, 7, 8, 9, 8, 7, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 5, 4, 4, 6, 8, 7, 7, 7, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 6, 5, 4, 6, 8, 3, 3, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 7, 5, 5, 6, 7, 27, 16, 4, 1, 6, 10, 7, 3, 2, 4, 6, 8, 8, 8, 7, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 2, 3, 5, 6, 7, 6, 5, 4, 4, 4, 5, 6, 7, 7, 8, 9, 5, 4, 5, 8, 11, 12, 8, 5, 5, 6, 6, 4, 1, 0, 3, 6, 16, 12, 8, 5, 5, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 6, 6, 5, 4, 5, 5, 6, 6, 7, 7, 8, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 11, 8, 3, 1, 3, 7, 10, 9, 7, 6, 5, 4, 4, 4, 9, 8, 6, 5, 4, 5, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 10, 11, 5, 2, 4, 5, 5, 22, 36, 19, 0, 7, 9, 1, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 5, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 6, 7, 4, 0, 3, 9, 2, 9, 8, 0, 0, 11, 15, 10, 6, 2, 8, 11, 6, 7, 8, 0, 2, 3, 5, 5, 5, 5, 3, 2, 4, 5, 5, 5, 5, 4, 3, 2, 3, 4, 5, 5, 3, 3, 4, 5, 6, 6, 5, 5, 5, 6, 7, 7, 7, 6, 6, 5, 5, 4, 4, 3, 2, 2, 3, 4, 5, 5, 5, 5, 7, 7, 5, 4, 4, 4, 4, 4, 7, 7, 6, 5, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 8, 7, 3, 2, 4, 7, 2, 3, 3, 4, 4, 5, 5, 6, 4, 8, 8, 4, 2, 4, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 1, 9, 10, 0, 7, 11, 7, 6, 6, 5, 5, 6, 6, 7, 6, 3, 1, 4, 9, 10, 5, 0, 21, 18, 12, 7, 4, 3, 4, 6, 6, 5, 4, 4, 6, 6, 5, 4, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 7, 8, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 4, 4, 4, 5, 7, 9, 11, 4, 5, 7, 8, 8, 7, 5, 4, 7, 6, 6, 5, 5, 6, 6, 7, 3, 6, 9, 8, 5, 2, 3, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 8, 6, 2, 2, 6, 6, 3, 6, 5, 3, 2, 2, 5, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 2, 6, 10, 9, 5, 2, 5, 8, 6, 6, 4, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 6, 5, 5, 7, 8, 8, 6, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 3, 3, 5, 5, 3, 7, 5, 2, 2, 7, 10, 9, 4, 5, 5, 5, 4, 4, 3, 3, 3, 7, 6, 6, 5, 5, 4, 4, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 3, 2, 2, 2, 2, 2, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 3, 2, 3, 5, 7, 9, 5, 6, 7, 6, 5, 5, 7, 9, 10, 7, 7, 9, 8, 4, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 1, 0, 2, 4, 5, 5, 3, 3, 5, 6, 6, 4, 2, 2, 3, 6, 6, 6, 5, 5, 4, 4, 4, 9, 9, 9, 7, 5, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 7, 9, 5, 3, 4, 6, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 7, 8, 7, 5, 4, 5, 5, 5, 6, 6, 7, 7, 8, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 4, 3, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 4, 2, 1, 10, 7, 2, 0, 0, 5, 10, 12, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 6, 5, 3, 2, 5, 7, 8, 6, 3, 2, 4, 6, 16, 12, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 6, 5, 5, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 4, 4, 5, 5, 5, 5, 4, 4, 12, 15, 17, 13, 8, 4, 6, 9, 6, 6, 4, 3, 3, 3, 3, 3, 8, 7, 6, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 7, 5, 2, 3, 7, 6, 2, 6, 20, 11, 0, 7, 9, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 12, 7, 4, 5, 5, 2, 3, 5, 2, 7, 9, 4, 1, 3, 5, 4, 14, 6, 5, 13, 14, 3, 0, 8, 3, 4, 5, 6, 6, 5, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 5, 3, 3, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 3, 3, 4, 4, 4, 4, 5, 5, 4, 7, 8, 3, 1, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 11, 3, 1, 7, 6, 19, 1, 2, 6, 5, 4, 4, 4, 4, 5, 6, 10, 9, 7, 7, 7, 7, 7, 6, 11, 9, 6, 4, 4, 6, 8, 9, 7, 6, 5, 5, 7, 7, 6, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 4, 5, 6, 7, 5, 5, 6, 7, 7, 6, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 3, 6, 8, 8, 5, 3, 3, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 5, 1, 2, 5, 6, 3, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 8, 12, 11, 7, 5, 7, 10, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 6, 7, 7, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 5, 6, 5, 4, 5, 7, 9, 9, 10, 13, 17, 20, 6, 6, 6, 6, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 5, 4, 3, 3, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 3, 3, 3, 5, 7, 8, 4, 5, 6, 5, 4, 4, 6, 9, 6, 3, 4, 6, 5, 2, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 5, 4, 2, 3, 5, 6, 6, 4, 2, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 2, 8, 11, 8, 5, 7, 7, 5, 6, 6, 4, 4, 4, 4, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 7, 7, 6, 5, 3, 4, 4, 5, 5, 6, 6, 7, 7, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 7, 7, 7, 5, 4, 0, 0, 4, 7, 8, 7, 4, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 5, 4, 3, 5, 7, 8, 8, 6, 5, 5, 6, 13, 9, 5, 3, 3, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 3, 4, 6, 8, 8, 6, 4, 3, 8, 10, 11, 9, 5, 2, 4, 6, 5, 5, 4, 3, 3, 3, 4, 4, 6, 6, 5, 4, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 2, 1, 5, 9, 6, 0, 0, 8, 6, 0, 7, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 18, 9, 2, 4, 6, 5, 4, 4, 0, 0, 2, 6, 5, 2, 5, 11, 24, 32, 17, 1, 6, 6, 3, 14, 5, 5, 6, 6, 6, 6, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 3, 4, 5, 5, 3, 3, 4, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 6, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 8, 8, 3, 1, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 8, 8, 0, 19, 0, 3, 5, 4, 3, 3, 3, 3, 4, 5, 7, 7, 7, 4, 1, 1, 4, 8, 3, 3, 3, 3, 4, 6, 8, 9, 8, 7, 5, 6, 8, 8, 7, 6, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 2, 2, 3, 4, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 6, 7, 8, 8, 7, 6, 6, 4, 4, 3, 2, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 4, 6, 7, 7, 5, 4, 4, 4, 4, 4, 3, 2, 2, 3, 4, 4, 6, 8, 8, 4, 5, 8, 9, 7, 4, 5, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 11, 10, 7, 5, 7, 9, 6, 5, 4, 3, 3, 3, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 6, 6, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 10, 6, 0, 0, 0, 16, 47, 72, 8, 7, 7, 7, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 7, 7, 6, 5, 5, 5, 5, 6, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 4, 3, 3, 5, 6, 8, 3, 4, 5, 4, 3, 3, 5, 8, 5, 4, 4, 6, 3, 0, 4, 11, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 5, 5, 5, 5, 3, 2, 3, 5, 7, 6, 4, 3, 3, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 2, 2, 4, 7, 8, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 3, 9, 12, 10, 8, 9, 9, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 6, 6, 5, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 5, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 8, 7, 6, 5, 5, 7, 8, 8, 7, 5, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 7, 8, 7, 6, 5, 4, 8, 6, 4, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 3, 5, 8, 9, 9, 8, 5, 3, 0, 1, 3, 3, 2, 2, 4, 6, 6, 6, 5, 5, 5, 6, 7, 7, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 8, 7, 4, 4, 7, 5, 0, 0, 7, 8, 4, 7, 8, 4, 0, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 6, 6, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 17, 9, 3, 4, 5, 5, 6, 9, 15, 2, 0, 6, 8, 4, 7, 17, 90, 124, 87, 16, 2, 11, 4, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 4, 4, 3, 4, 5, 5, 3, 3, 4, 5, 6, 5, 4, 4, 3, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 6, 7, 7, 7, 6, 5, 4, 3, 6, 6, 5, 4, 4, 4, 5, 6, 4, 4, 4, 4, 5, 6, 7, 7, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 2, 3, 7, 8, 6, 3, 6, 5, 5, 4, 4, 3, 3, 2, 5, 9, 9, 5, 3, 5, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 7, 5, 9, 3, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 4, 6, 8, 4, 5, 5, 5, 5, 4, 4, 3, 7, 6, 5, 5, 7, 7, 6, 5, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 7, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 4, 4, 5, 5, 8, 7, 5, 3, 3, 5, 7, 8, 8, 7, 7, 6, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 6, 6, 5, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 8, 8, 5, 4, 7, 9, 7, 7, 7, 7, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 6, 5, 5, 4, 3, 3, 3, 4, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 3, 4, 5, 7, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 6, 6, 7, 7, 6, 6, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 4, 5, 5, 4, 4, 7, 8, 10, 13, 13, 9, 8, 16, 26, 8, 7, 7, 7, 6, 6, 6, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 7, 6, 5, 5, 5, 5, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 4, 4, 4, 5, 6, 6, 2, 4, 4, 4, 2, 3, 5, 7, 5, 5, 8, 9, 5, 0, 3, 9, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 5, 6, 7, 5, 4, 4, 6, 7, 7, 5, 3, 3, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 4, 3, 7, 13, 14, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 8, 11, 10, 9, 10, 8, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 5, 6, 6, 5, 4, 4, 4, 12, 9, 7, 6, 4, 3, 6, 11, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 3, 3, 4, 6, 6, 6, 4, 2, 3, 3, 5, 7, 9, 9, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 5, 5, 4, 4, 7, 5, 3, 4, 6, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 3, 5, 8, 9, 9, 8, 5, 3, 2, 3, 5, 5, 5, 6, 7, 9, 6, 6, 5, 5, 5, 6, 7, 7, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 13, 16, 10, 3, 2, 3, 3, 6, 6, 8, 6, 3, 5, 6, 1, 7, 7, 7, 6, 6, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 6, 7, 7, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 11, 7, 6, 6, 3, 2, 7, 15, 44, 19, 2, 5, 8, 2, 3, 11, 82, 125, 94, 20, 1, 8, 2, 0, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 3, 2, 3, 4, 5, 5, 3, 3, 4, 5, 8, 7, 6, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 6, 5, 5, 4, 3, 2, 6, 5, 4, 4, 4, 5, 6, 6, 4, 4, 4, 4, 5, 6, 7, 7, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 2, 3, 7, 8, 6, 3, 6, 5, 5, 4, 4, 3, 3, 2, 7, 11, 11, 7, 5, 7, 9, 7, 5, 5, 5, 5, 5, 5, 5, 5, 19, 9, 0, 3, 20, 0, 12, 0, 6, 6, 5, 5, 5, 5, 6, 6, 7, 5, 4, 8, 14, 16, 13, 9, 6, 7, 7, 7, 6, 5, 3, 2, 5, 4, 3, 3, 5, 5, 4, 3, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 7, 5, 3, 2, 2, 3, 5, 7, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 7, 7, 8, 5, 5, 5, 4, 4, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 4, 4, 5, 6, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 0, 5, 7, 3, 1, 3, 5, 3, 10, 8, 6, 4, 4, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 6, 5, 4, 4, 5, 5, 4, 3, 3, 3, 4, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 7, 8, 8, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 4, 2, 4, 4, 2, 4, 9, 6, 5, 8, 13, 11, 2, 0, 0, 7, 6, 6, 6, 5, 5, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 4, 4, 4, 4, 5, 6, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 5, 5, 4, 5, 5, 5, 2, 4, 4, 4, 2, 3, 5, 7, 1, 1, 5, 9, 7, 2, 3, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 5, 7, 8, 8, 6, 4, 6, 8, 7, 5, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 5, 4, 9, 14, 16, 11, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 7, 8, 7, 7, 9, 7, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 2, 5, 7, 7, 5, 4, 5, 6, 0, 0, 1, 10, 13, 8, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 2, 4, 5, 6, 4, 3, 2, 3, 5, 8, 10, 9, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 7, 7, 7, 6, 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6, 7, 7, 5, 2, 1, 7, 14, 17, 12, 6, 5, 6, 6, 7, 7, 7, 6, 6, 4, 3, 2, 2, 4, 5, 3, 2, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 3, 3, 4, 4, 5, 4, 3, 2, 2, 3, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 2, 3, 5, 6, 8, 8, 9, 9, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 4, 3, 3, 5, 6, 6, 6, 8, 7, 6, 6, 6, 6, 7, 8, 4, 10, 13, 9, 5, 6, 7, 6, 11, 9, 6, 3, 3, 5, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 6, 6, 4, 4, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 7, 9, 8, 6, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 3, 3, 8, 8, 3, 3, 9, 12, 0, 0, 1, 9, 11, 15, 21, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 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4, 4, 5, 5, 6, 10, 10, 5, 3, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 13, 13, 0, 42, 2, 15, 6, 6, 5, 4, 4, 5, 6, 6, 3, 1, 1, 3, 6, 7, 6, 3, 5, 5, 5, 5, 6, 6, 7, 7, 5, 4, 3, 3, 5, 5, 4, 3, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 2, 3, 5, 6, 7, 7, 6, 5, 5, 5, 4, 3, 3, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 4, 2, 2, 5, 7, 7, 6, 7, 6, 6, 5, 5, 6, 6, 7, 7, 14, 17, 12, 7, 7, 8, 7, 8, 7, 6, 5, 6, 7, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 6, 5, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 5, 6, 8, 7, 5, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 5, 5, 5, 5, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 2, 7, 17, 17, 7, 2, 6, 11, 7, 12, 26, 28, 15, 2, 0, 8, 8, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 6, 7, 8, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 3, 4, 5, 6, 5, 4, 4, 6, 9, 12, 4, 0, 2, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 5, 6, 7, 6, 5, 5, 7, 8, 8, 6, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 3, 1, 3, 7, 7, 2, 4, 4, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 4, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 7, 11, 11, 7, 6, 8, 11, 65, 36, 9, 0, 1, 0, 3, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 3, 4, 5, 5, 8, 5, 2, 3, 6, 9, 8, 7, 9, 6, 2, 1, 3, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 4, 5, 2, 3, 3, 4, 4, 5, 5, 6, 8, 4, 1, 3, 7, 9, 6, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 7, 8, 7, 6, 10, 9, 7, 6, 5, 4, 4, 4, 3, 4, 6, 7, 8, 8, 7, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 0, 6, 8, 7, 7, 9, 8, 4, 11, 0, 9, 15, 3, 4, 10, 0, 7, 7, 6, 6, 4, 4, 3, 3, 7, 6, 4, 3, 3, 4, 6, 7, 5, 6, 7, 8, 8, 8, 8, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 3, 4, 6, 7, 7, 6, 4, 3, 11, 4, 1, 4, 7, 5, 3, 3, 0, 1, 5, 6, 4, 1, 1, 3, 7, 8, 9, 2, 0, 11, 14, 0, 5, 5, 3, 2, 2, 3, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 3, 4, 5, 5, 3, 3, 4, 5, 7, 6, 5, 4, 3, 2, 2, 2, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 5, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 5, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 8, 7, 3, 2, 4, 7, 2, 3, 3, 4, 4, 5, 5, 6, 4, 8, 8, 4, 2, 4, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 18, 0, 0, 9, 6, 133, 19, 12, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 6, 4, 2, 2, 5, 8, 7, 7, 5, 4, 4, 4, 4, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 5, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 2, 3, 3, 4, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 5, 6, 6, 7, 7, 6, 6, 5, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 3, 4, 5, 6, 5, 4, 3, 2, 6, 5, 3, 2, 2, 3, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 7, 4, 1, 2, 5, 8, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 10, 13, 8, 2, 1, 1, 1, 4, 5, 7, 8, 9, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 5, 4, 2, 3, 3, 3, 3, 3, 4, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 4, 3, 3, 5, 6, 6, 4, 1, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 8, 8, 7, 6, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 11, 24, 24, 11, 2, 4, 5, 0, 1, 13, 17, 10, 6, 10, 9, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 6, 7, 8, 9, 9, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 5, 4, 3, 3, 5, 6, 7, 6, 5, 5, 7, 9, 30, 16, 4, 3, 5, 4, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 5, 4, 5, 5, 4, 2, 5, 7, 8, 8, 6, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 3, 0, 2, 8, 8, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 8, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 0, 5, 9, 9, 5, 3, 6, 10, 57, 29, 6, 5, 9, 7, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 5, 6, 6, 3, 4, 7, 7, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 2, 3, 5, 6, 7, 6, 6, 5, 14, 1, 2, 11, 9, 8, 5, 0, 2, 0, 0, 9, 11, 0, 7, 39, 17, 10, 3, 1, 3, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 6, 6, 7, 7, 7, 1, 2, 3, 4, 5, 5, 5, 5, 7, 4, 2, 3, 6, 8, 7, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 7, 6, 5, 3, 2, 7, 7, 8, 8, 7, 5, 4, 2, 5, 5, 7, 8, 8, 7, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 7, 6, 5, 4, 2, 2, 5, 4, 2, 1, 2, 4, 6, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 6, 5, 4, 9, 15, 11, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 7, 8, 8, 6, 5, 3, 5, 4, 4, 3, 3, 4, 4, 5, 2, 3, 3, 4, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 6, 5, 3, 2, 4, 4, 5, 5, 5, 4, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 3, 3, 2, 8, 2, 0, 8, 21, 25, 16, 4, 6, 3, 2, 3, 5, 6, 4, 2, 2, 4, 6, 7, 8, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 3, 6, 7, 4, 1, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 5, 6, 7, 6, 6, 5, 6, 7, 3, 3, 3, 3, 3, 3, 3, 3, 7, 8, 8, 7, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 5, 3, 2, 3, 4, 6, 5, 4, 3, 3, 3, 3, 4, 6, 0, 2, 10, 13, 12, 20, 34, 7, 6, 3, 2, 2, 4, 6, 8, 3, 8, 12, 11, 6, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 0, 6, 11, 6, 0, 2, 9, 15, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 5, 6, 7, 6, 6, 5, 3, 5, 6, 5, 3, 2, 3, 5, 3, 3, 2, 3, 3, 5, 6, 7, 5, 6, 7, 6, 4, 3, 4, 5, 2, 7, 1, 3, 0, 0, 19, 2, 11, 8, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 6, 4, 3, 5, 7, 4, 5, 7, 8, 8, 7, 5, 4, 11, 0, 0, 18, 12, 10, 17, 0, 11, 6, 3, 5, 10, 13, 11, 7, 4, 5, 5, 6, 6, 5, 5, 4, 1, 1, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 4, 4, 4, 4, 5, 6, 7, 7, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 8, 7, 6, 5, 4, 3, 3, 3, 5, 7, 8, 7, 4, 3, 6, 9, 3, 5, 7, 6, 4, 3, 5, 8, 5, 5, 3, 2, 2, 3, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 15, 10, 17, 0, 10, 5, 1, 5, 5, 3, 2, 2, 3, 5, 5, 7, 7, 6, 6, 4, 4, 3, 3, 3, 3, 4, 6, 9, 9, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 5, 2, 0, 3, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 1, 0, 6, 13, 11, 6, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 5, 0, 0, 5, 7, 4, 7, 7, 6, 5, 4, 4, 4, 5, 5, 4, 3, 4, 6, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 5, 7, 6, 4, 2, 6, 13, 0, 3, 7, 0, 7, 3, 9, 8, 5, 3, 2, 1, 2, 2, 5, 5, 5, 4, 4, 3, 3, 3, 6, 4, 5, 8, 8, 5, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 5, 0, 5, 11, 9, 2, 7, 10, 2, 10, 11, 5, 0, 0, 7, 50, 105, 15, 9, 3, 2, 4, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 6, 6, 6, 7, 7, 3, 3, 4, 5, 6, 5, 5, 5, 6, 4, 2, 4, 6, 8, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 7, 6, 5, 3, 2, 9, 9, 9, 8, 6, 4, 1, 0, 4, 5, 6, 7, 7, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 5, 4, 3, 2, 5, 4, 3, 2, 2, 4, 6, 8, 7, 6, 6, 6, 6, 6, 6, 7, 9, 10, 9, 8, 13, 19, 15, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 6, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 6, 5, 3, 2, 5, 5, 4, 3, 3, 2, 2, 1, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 2, 2, 6, 11, 12, 8, 2, 6, 4, 2, 3, 5, 6, 5, 2, 3, 4, 6, 7, 7, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 5, 7, 7, 5, 3, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 3, 3, 3, 4, 5, 6, 4, 8, 11, 9, 5, 3, 6, 11, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 5, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 3, 2, 3, 5, 6, 6, 5, 4, 3, 4, 4, 4, 1, 7, 11, 4, 0, 16, 78, 138, 18, 15, 10, 5, 3, 4, 5, 7, 5, 10, 14, 13, 8, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 5, 6, 7, 6, 5, 5, 4, 5, 6, 6, 5, 4, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 6, 7, 6, 4, 3, 4, 5, 3, 5, 7, 0, 10, 7, 0, 11, 11, 8, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 6, 4, 3, 5, 7, 6, 6, 5, 5, 5, 5, 6, 6, 22, 12, 6, 10, 7, 0, 13, 13, 8, 5, 3, 4, 7, 9, 8, 5, 5, 6, 7, 7, 7, 7, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 8, 8, 6, 4, 3, 2, 2, 2, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 8, 7, 6, 5, 4, 3, 3, 4, 4, 6, 7, 6, 4, 3, 5, 8, 7, 9, 10, 7, 4, 2, 3, 4, 6, 5, 4, 3, 3, 4, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 2, 4, 2, 16, 4, 7, 7, 7, 7, 6, 5, 5, 6, 7, 7, 7, 7, 6, 5, 5, 4, 3, 3, 3, 3, 4, 6, 8, 9, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 6, 5, 2, 1, 3, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 2, 0, 6, 10, 8, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 7, 7, 3, 3, 7, 7, 3, 6, 6, 5, 4, 3, 3, 4, 4, 5, 4, 3, 4, 6, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 6, 0, 0, 12, 11, 4, 25, 10, 13, 6, 5, 4, 3, 2, 3, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 2, 3, 7, 7, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 2, 2, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 5, 7, 10, 9, 6, 4, 4, 3, 0, 6, 6, 6, 9, 5, 6, 20, 10, 6, 3, 3, 6, 7, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 6, 7, 7, 5, 5, 5, 5, 5, 6, 6, 6, 7, 6, 6, 6, 6, 6, 5, 4, 4, 4, 3, 4, 6, 8, 8, 6, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 4, 3, 2, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 4, 3, 8, 8, 8, 7, 6, 4, 3, 2, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 5, 4, 4, 5, 4, 3, 3, 3, 4, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 9, 13, 10, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 7, 6, 5, 4, 5, 5, 6, 6, 7, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 5, 4, 3, 3, 4, 6, 8, 9, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 2, 4, 6, 6, 3, 1, 2, 3, 6, 4, 3, 4, 5, 6, 5, 3, 5, 6, 7, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 6, 4, 2, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 3, 3, 4, 5, 6, 6, 2, 9, 14, 11, 4, 1, 7, 13, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 4, 4, 3, 4, 5, 7, 5, 5, 5, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 3, 5, 7, 7, 6, 5, 4, 5, 5, 5, 0, 4, 12, 12, 4, 5, 31, 60, 18, 14, 9, 4, 1, 1, 2, 4, 6, 9, 12, 11, 8, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 3, 5, 8, 8, 4, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 5, 5, 3, 5, 7, 7, 6, 6, 7, 9, 8, 8, 6, 5, 4, 4, 4, 4, 5, 6, 8, 7, 5, 4, 4, 5, 7, 3, 2, 15, 16, 9, 0, 9, 11, 8, 5, 4, 5, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 7, 6, 3, 2, 2, 3, 6, 7, 23, 14, 12, 10, 30, 0, 11, 14, 6, 5, 4, 3, 3, 3, 4, 4, 6, 7, 8, 8, 8, 8, 7, 6, 6, 6, 5, 4, 3, 2, 2, 1, 4, 5, 5, 5, 5, 4, 3, 3, 5, 4, 4, 4, 4, 5, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 9, 8, 7, 5, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 4, 3, 3, 8, 7, 6, 5, 4, 4, 4, 4, 3, 5, 6, 5, 4, 3, 4, 6, 7, 8, 9, 7, 4, 3, 3, 4, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 11, 0, 12, 12, 66, 13, 8, 4, 7, 6, 6, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 4, 3, 3, 4, 3, 4, 5, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 3, 2, 4, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 3, 4, 7, 8, 5, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 8, 6, 6, 8, 6, 3, 5, 5, 4, 3, 3, 3, 3, 4, 5, 4, 3, 4, 6, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 6, 5, 2, 3, 7, 10, 10, 29, 13, 13, 0, 19, 0, 1, 3, 3, 2, 2, 3, 5, 7, 9, 7, 7, 7, 6, 6, 6, 5, 5, 2, 0, 2, 6, 6, 2, 0, 2, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 5, 5, 5, 4, 4, 4, 3, 3, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 11, 1, 0, 6, 14, 4, 0, 4, 2, 7, 2, 0, 10, 10, 0, 0, 6, 4, 3, 5, 7, 7, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 7, 8, 7, 6, 4, 4, 5, 5, 5, 6, 6, 6, 8, 8, 8, 7, 7, 5, 4, 3, 2, 3, 5, 7, 8, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 7, 7, 5, 3, 2, 2, 3, 4, 4, 6, 6, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 4, 6, 6, 5, 6, 6, 6, 6, 6, 6, 5, 2, 1, 0, 1, 4, 6, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 2, 2, 3, 4, 5, 3, 5, 7, 8, 8, 7, 5, 3, 5, 5, 6, 6, 7, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 5, 8, 13, 18, 20, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 5, 5, 6, 4, 7, 8, 6, 2, 1, 3, 6, 5, 5, 4, 5, 5, 5, 5, 4, 6, 7, 7, 7, 6, 4, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 3, 2, 1, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 4, 4, 4, 4, 5, 6, 7, 4, 8, 11, 9, 5, 3, 6, 10, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 5, 4, 4, 5, 7, 6, 5, 5, 5, 5, 4, 4, 4, 6, 5, 5, 5, 5, 5, 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6, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 0, 16, 15, 78, 21, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 3, 4, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 9, 13, 11, 5, 4, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 5, 6, 5, 4, 4, 3, 3, 2, 2, 2, 3, 3, 5, 4, 3, 4, 6, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 7, 4, 1, 1, 7, 14, 17, 55, 0, 24, 0, 3, 37, 5, 4, 3, 3, 3, 4, 6, 8, 9, 7, 7, 6, 6, 5, 5, 5, 5, 4, 2, 4, 9, 9, 4, 2, 4, 6, 6, 6, 7, 7, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 4, 4, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 3, 3, 3, 6, 5, 5, 5, 5, 5, 5, 5, 2, 16, 13, 3, 7, 6, 2, 7, 1, 16, 14, 3, 2, 4, 11, 22, 4, 3, 4, 5, 7, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 7, 8, 7, 6, 4, 4, 4, 5, 5, 5, 6, 6, 8, 8, 8, 8, 6, 5, 3, 2, 1, 3, 6, 8, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 8, 8, 7, 5, 3, 2, 3, 4, 4, 6, 6, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 6, 2, 3, 3, 4, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 3, 6, 4, 3, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 2, 2, 3, 4, 5, 2, 3, 5, 7, 7, 5, 3, 2, 5, 5, 6, 6, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 3, 3, 4, 5, 9, 14, 18, 21, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 7, 5, 5, 6, 5, 5, 5, 5, 6, 7, 7, 7, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 3, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 4, 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3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 6, 8, 9, 8, 6, 3, 4, 4, 4, 5, 5, 5, 5, 7, 7, 7, 7, 6, 4, 3, 2, 1, 4, 6, 7, 6, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 5, 5, 5, 1, 2, 4, 5, 5, 4, 2, 1, 8, 5, 4, 6, 6, 4, 5, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 2, 3, 4, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 6, 5, 5, 4, 5, 7, 9, 10, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 5, 2, 0, 1, 4, 7, 6, 4, 4, 6, 7, 6, 5, 4, 5, 7, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 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5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 8, 7, 5, 4, 3, 4, 5, 5, 16, 67, 61, 15, 4, 6, 1, 5, 10, 6, 0, 0, 15, 18, 14, 18, 4, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 6, 8, 9, 8, 7, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 2, 2, 4, 6, 6, 4, 4, 5, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 3, 4, 5, 7, 8, 8, 7, 5, 3, 2, 2, 3, 3, 7, 6, 5, 4, 4, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 5, 4, 3, 2, 7, 7, 7, 7, 6, 5, 5, 4, 2, 3, 5, 6, 6, 5, 3, 2, 7, 3, 2, 5, 4, 1, 2, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 5, 7, 8, 7, 6, 6, 5, 4, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 2, 1, 2, 4, 5, 4, 3, 4, 6, 8, 7, 5, 4, 5, 8, 6, 6, 5, 5, 4, 5, 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7, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 7, 6, 5, 4, 3, 3, 2, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 3, 2, 3, 6, 9, 10, 7, 4, 8, 5, 4, 4, 6, 7, 5, 3, 3, 4, 5, 6, 6, 5, 4, 3, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 8, 14, 8, 9, 7, 6, 0, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 2, 2, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 4, 6, 8, 8, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 10, 14, 13, 6, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 8, 14, 14, 8, 4, 5, 4, 4, 3, 3, 4, 5, 6, 6, 5, 4, 3, 4, 6, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 23, 0, 22, 22, 0, 19, 17, 3, 9, 7, 6, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 4, 7, 13, 13, 7, 4, 5, 4, 4, 5, 5, 7, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 7, 7, 6, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 8, 7, 5, 4, 3, 4, 4, 5, 10, 27, 15, 4, 15, 3, 0, 12, 0, 9, 12, 14, 11, 0, 0, 11, 5, 6, 5, 4, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 6, 8, 9, 8, 7, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 2, 3, 5, 6, 5, 3, 3, 6, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 4, 5, 7, 8, 5, 4, 3, 2, 2, 4, 5, 6, 8, 7, 5, 5, 5, 5, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 7, 6, 5, 4, 2, 2, 7, 7, 7, 7, 7, 6, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 8, 4, 3, 6, 5, 1, 3, 9, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 8, 8, 6, 5, 3, 7, 6, 6, 5, 5, 6, 6, 7, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 5, 7, 8, 6, 6, 7, 7, 7, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 3, 3, 2, 3, 5, 6, 6, 4, 3, 3, 4, 4, 7, 8, 7, 5, 4, 6, 8, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 8, 7, 3, 0, 1, 3, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 7, 8, 4, 6, 8, 7, 5, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 4, 4, 4, 4, 5, 7, 9, 8, 7, 7, 6, 5, 4, 4, 2, 3, 5, 6, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 11, 11, 10, 7, 5, 5, 6, 6, 5, 4, 3, 3, 3, 3, 4, 5, 8, 8, 4, 1, 1, 3, 4, 9, 7, 4, 1, 1, 3, 6, 8, 5, 4, 2, 2, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 12, 20, 14, 1, 0, 10, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 5, 4, 3, 4, 4, 5, 5, 7, 8, 7, 5, 4, 5, 7, 7, 6, 5, 3, 3, 2, 3, 3, 4, 7, 10, 11, 9, 6, 5, 4, 0, 12, 1, 17, 19, 56, 7, 11, 8, 6, 4, 3, 5, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 7, 5, 3, 4, 6, 7, 5, 3, 8, 7, 5, 4, 4, 5, 7, 8, 6, 2, 0, 8, 5, 15, 27, 1, 7, 2, 0, 1, 6, 9, 7, 3, 6, 7, 7, 8, 8, 7, 7, 6, 11, 11, 10, 8, 6, 5, 3, 3, 4, 4, 6, 7, 7, 7, 7, 7, 5, 5, 3, 2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 1, 1, 2, 2, 4, 5, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 4, 4, 4, 5, 6, 6, 3, 3, 3, 7, 10, 11, 8, 4, 6, 4, 3, 5, 9, 11, 10, 8, 2, 3, 5, 5, 5, 5, 3, 2, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 12, 3, 12, 0, 3, 0, 14, 9, 2, 3, 5, 5, 5, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 2, 2, 3, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 2, 4, 7, 9, 8, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 5, 9, 8, 4, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 12, 21, 21, 12, 4, 4, 5, 4, 4, 4, 5, 6, 7, 7, 5, 4, 3, 4, 6, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 5, 7, 6, 4, 2, 1, 24, 0, 0, 19, 1, 0, 10, 7, 7, 5, 4, 4, 5, 7, 8, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 4, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 6, 5, 3, 3, 5, 5, 3, 2, 2, 2, 2, 3, 3, 3, 4, 4, 8, 6, 5, 5, 7, 7, 6, 4, 18, 12, 6, 5, 8, 9, 6, 2, 3, 10, 17, 17, 12, 6, 4, 4, 7, 7, 6, 6, 6, 6, 6, 5, 3, 3, 3, 3, 3, 4, 6, 6, 5, 5, 5, 5, 6, 7, 8, 8, 3, 3, 3, 4, 5, 6, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 8, 7, 6, 6, 4, 4, 3, 2, 6, 5, 3, 2, 3, 5, 7, 9, 8, 7, 5, 3, 2, 3, 5, 6, 10, 8, 6, 4, 3, 4, 6, 8, 6, 5, 5, 4, 4, 5, 5, 6, 13, 0, 0, 15, 0, 5, 10, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 5, 4, 3, 4, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 7, 6, 6, 5, 5, 5, 9, 8, 7, 7, 6, 6, 7, 7, 5, 5, 6, 6, 6, 5, 4, 4, 6, 3, 3, 5, 4, 2, 5, 10, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 5, 2, 6, 13, 13, 9, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 6, 4, 2, 7, 15, 16, 11, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 6, 6, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 8, 8, 7, 6, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 6, 5, 5, 5, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 6, 5, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 4, 6, 6, 4, 2, 10, 9, 8, 8, 7, 6, 5, 5, 8, 5, 2, 1, 3, 6, 8, 8, 4, 5, 6, 7, 7, 7, 7, 6, 2, 2, 3, 4, 4, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 4, 3, 4, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 9, 9, 9, 4, 1, 3, 2, 3, 5, 6, 7, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 5, 4, 3, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 2, 2, 9, 7, 0, 3, 10, 4, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 4, 6, 7, 9, 11, 11, 11, 10, 9, 4, 6, 7, 6, 4, 3, 4, 5, 7, 5, 3, 3, 5, 6, 6, 5, 7, 5, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 5, 7, 7, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 4, 3, 2, 12, 0, 17, 0, 0, 0, 9, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 4, 2, 2, 4, 6, 8, 6, 4, 3, 2, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 2, 2, 4, 7, 5, 2, 0, 0, 4, 10, 7, 0, 6, 6, 6, 6, 6, 5, 3, 3, 5, 3, 2, 4, 9, 12, 12, 10, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 7, 5, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 6, 5, 4, 5, 7, 5, 4, 4, 3, 4, 5, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 10, 3, 13, 3, 12, 0, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 2, 3, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 8, 9, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 3, 4, 5, 5, 4, 2, 3, 3, 3, 3, 4, 4, 5, 5, 6, 4, 4, 5, 7, 8, 8, 6, 12, 8, 4, 5, 8, 10, 7, 4, 5, 11, 18, 18, 14, 8, 6, 6, 5, 5, 5, 5, 6, 6, 6, 7, 4, 3, 3, 3, 4, 4, 5, 6, 5, 5, 5, 5, 5, 6, 7, 8, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 4, 7, 6, 6, 5, 5, 4, 4, 3, 6, 5, 3, 3, 3, 5, 7, 8, 8, 7, 5, 3, 3, 4, 5, 6, 8, 7, 6, 5, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 0, 21, 19, 0, 44, 9, 0, 14, 5, 5, 5, 6, 6, 6, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 3, 3, 3, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 9, 8, 7, 6, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 2, 2, 5, 5, 2, 3, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 5, 2, 5, 11, 11, 7, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 6, 5, 3, 7, 13, 13, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 7, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 5, 4, 4, 6, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 4, 6, 6, 4, 2, 9, 9, 8, 7, 6, 6, 5, 5, 7, 5, 2, 2, 4, 6, 7, 7, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 4, 3, 4, 5, 7, 8, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 4, 5, 6, 28, 50, 25, 28, 0, 0, 0, 27, 3, 4, 5, 6, 7, 6, 5, 5, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 12, 9, 1, 6, 13, 7, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 2, 2, 3, 3, 4, 2, 3, 5, 6, 7, 6, 5, 5, 5, 6, 7, 6, 4, 3, 4, 5, 7, 5, 3, 4, 5, 6, 5, 4, 8, 6, 5, 5, 6, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 4, 4, 4, 4, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 0, 0, 2, 3, 11, 2, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 5, 6, 5, 5, 6, 8, 7, 6, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 2, 2, 4, 7, 4, 18, 26, 19, 6, 2, 6, 10, 5, 6, 6, 6, 6, 5, 4, 3, 6, 4, 2, 4, 7, 10, 10, 9, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 5, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 7, 7, 7, 8, 9, 5, 5, 4, 3, 4, 5, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 2, 2, 8, 3, 7, 3, 10, 11, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 7, 5, 4, 4, 5, 5, 4, 2, 4, 4, 4, 5, 5, 5, 6, 6, 4, 3, 3, 5, 7, 9, 9, 8, 6, 4, 3, 5, 9, 10, 8, 5, 5, 10, 15, 16, 12, 8, 6, 6, 3, 3, 4, 5, 5, 6, 6, 7, 4, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 5, 5, 6, 7, 7, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 5, 6, 8, 8, 7, 5, 3, 3, 4, 5, 6, 7, 7, 6, 6, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 3, 9, 25, 0, 3, 9, 9, 5, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 3, 2, 3, 3, 3, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 8, 8, 6, 5, 4, 3, 3, 3, 4, 4, 5, 6, 6, 5, 5, 4, 2, 0, 2, 6, 6, 3, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 2, 4, 8, 8, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 4, 7, 10, 9, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 6, 6, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 9, 7, 5, 4, 4, 5, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 3, 4, 6, 6, 4, 2, 8, 8, 8, 7, 6, 6, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 2, 3, 4, 4, 5, 5, 4, 4, 7, 6, 6, 5, 4, 3, 2, 2, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 255, 41, 3, 28, 1, 20, 0, 3, 4, 5, 6, 6, 6, 6, 5, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 5, 8, 6, 0, 6, 13, 8, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 2, 4, 5, 1, 2, 3, 4, 4, 4, 3, 3, 6, 7, 8, 6, 4, 3, 4, 5, 6, 5, 4, 4, 6, 6, 5, 4, 8, 7, 6, 6, 8, 9, 8, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 11, 10, 8, 7, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 6, 8, 9, 10, 30, 4, 16, 17, 0, 0, 4, 5, 5, 5, 4, 4, 4, 4, 4, 0, 3, 6, 8, 7, 6, 5, 6, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 3, 3, 4, 7, 3, 23, 36, 28, 9, 0, 4, 11, 5, 5, 6, 6, 6, 5, 4, 3, 7, 5, 3, 4, 6, 7, 7, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 5, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 8, 7, 7, 6, 7, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 2, 9, 4, 2, 0, 8, 5, 2, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 6, 5, 5, 4, 4, 3, 7, 5, 4, 4, 5, 6, 4, 3, 5, 5, 5, 6, 6, 7, 7, 7, 6, 4, 4, 5, 7, 8, 8, 6, 2, 2, 2, 5, 8, 9, 7, 4, 3, 7, 10, 11, 8, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 18, 0, 11, 14, 45, 15, 10, 0, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 3, 3, 2, 2, 2, 2, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 2, 0, 2, 8, 9, 5, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 4, 5, 5, 3, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 5, 6, 6, 7, 7, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 6, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 5, 5, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 5, 6, 7, 5, 3, 8, 7, 7, 6, 6, 5, 5, 5, 4, 3, 4, 5, 7, 8, 6, 3, 2, 3, 4, 5, 5, 5, 5, 5, 7, 6, 6, 5, 4, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 8, 7, 7, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 19, 15, 0, 30, 0, 19, 0, 24, 4, 4, 5, 5, 6, 6, 6, 6, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 7, 7, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 3, 6, 4, 0, 8, 17, 11, 6, 6, 5, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 6, 8, 8, 7, 5, 3, 4, 5, 6, 5, 4, 5, 6, 7, 5, 3, 7, 6, 5, 6, 8, 8, 7, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 4, 4, 3, 3, 3, 3, 5, 5, 5, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 5, 6, 6, 9, 8, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 7, 10, 12, 0, 37, 0, 0, 1, 0, 9, 14, 6, 5, 5, 5, 5, 4, 4, 4, 4, 6, 8, 8, 5, 3, 3, 3, 4, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 4, 3, 5, 6, 2, 11, 17, 14, 9, 7, 4, 1, 4, 5, 6, 6, 6, 5, 4, 4, 7, 6, 5, 4, 4, 4, 4, 4, 7, 6, 5, 3, 3, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 10, 10, 9, 5, 5, 6, 4, 0, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 14, 1, 7, 1, 24, 9, 0, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 6, 5, 5, 4, 4, 3, 7, 6, 4, 5, 6, 6, 5, 3, 5, 5, 6, 6, 7, 7, 7, 7, 9, 7, 5, 6, 6, 7, 5, 3, 3, 3, 4, 6, 7, 7, 5, 3, 3, 5, 7, 8, 6, 5, 4, 3, 7, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 5, 5, 5, 7, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 13, 3, 34, 84, 16, 1, 2, 14, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 3, 3, 2, 2, 2, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 2, 3, 4, 5, 6, 3, 4, 5, 6, 6, 6, 6, 6, 4, 2, 3, 10, 12, 8, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 2, 3, 4, 4, 3, 3, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 3, 3, 4, 5, 5, 4, 5, 6, 7, 6, 4, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 10, 8, 6, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 4, 5, 7, 7, 5, 3, 7, 6, 6, 6, 6, 5, 5, 5, 3, 3, 4, 6, 8, 8, 5, 3, 4, 4, 5, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 7, 7, 6, 6, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 32, 0, 10, 11, 14, 7, 0, 4, 4, 4, 4, 5, 5, 6, 6, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 6, 7, 7, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 9, 6, 8, 8, 6, 15, 24, 18, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 9, 8, 6, 4, 3, 6, 6, 5, 5, 5, 5, 5, 5, 7, 8, 9, 7, 5, 3, 4, 5, 5, 4, 4, 5, 7, 7, 5, 3, 5, 5, 4, 6, 7, 7, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 5, 4, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 7, 11, 13, 55, 97, 34, 20, 9, 5, 8, 0, 7, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 5, 2, 2, 4, 6, 4, 5, 6, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 6, 5, 4, 5, 6, 2, 4, 4, 2, 5, 7, 4, 0, 4, 4, 5, 6, 6, 6, 5, 4, 7, 7, 6, 5, 3, 3, 3, 4, 7, 5, 4, 3, 3, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 7, 7, 7, 7, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 8, 10, 9, 5, 7, 11, 9, 3, 5, 5, 5, 5, 5, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 1, 9, 0, 12, 16, 43, 24, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 8, 6, 5, 5, 6, 6, 5, 3, 5, 5, 5, 6, 6, 7, 7, 7, 10, 8, 6, 6, 6, 6, 4, 2, 5, 5, 6, 6, 6, 5, 4, 3, 6, 6, 7, 7, 7, 6, 6, 5, 7, 7, 7, 6, 6, 6, 5, 5, 7, 7, 6, 5, 5, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 4, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 0, 16, 72, 213, 8, 39, 4, 11, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 4, 3, 2, 2, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 3, 3, 3, 3, 3, 5, 6, 7, 2, 3, 4, 5, 6, 6, 6, 6, 6, 3, 3, 10, 13, 10, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 3, 1, 4, 5, 3, 3, 4, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 6, 8, 6, 2, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 5, 4, 4, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 3, 4, 4, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 1, 3, 5, 6, 6, 5, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 6, 7, 7, 6, 4, 6, 6, 6, 5, 5, 5, 5, 5, 4, 3, 4, 6, 8, 8, 6, 3, 4, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 0, 24, 0, 0, 22, 0, 3, 10, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 6, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 8, 4, 6, 7, 5, 14, 20, 13, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 4, 2, 1, 6, 5, 4, 3, 3, 3, 4, 4, 8, 9, 10, 8, 5, 4, 4, 5, 4, 4, 4, 6, 8, 7, 5, 2, 4, 4, 4, 6, 7, 7, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 8, 6, 5, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 3, 3, 2, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 5, 7, 9, 11, 1, 36, 6, 0, 0, 7, 14, 5, 7, 7, 7, 6, 5, 5, 4, 4, 4, 5, 4, 3, 2, 4, 7, 11, 5, 5, 5, 6, 7, 8, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 7, 7, 6, 5, 5, 6, 3, 9, 11, 5, 0, 1, 5, 6, 3, 4, 5, 6, 6, 6, 5, 5, 7, 8, 8, 6, 3, 3, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 8, 7, 5, 10, 19, 18, 11, 5, 5, 6, 6, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 2, 4, 0, 9, 18, 32, 17, 1, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 8, 6, 5, 5, 6, 7, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 9, 7, 6, 6, 6, 6, 5, 3, 6, 6, 6, 5, 5, 5, 6, 7, 6, 5, 5, 5, 6, 6, 6, 5, 5, 5, 6, 7, 8, 9, 9, 10, 8, 7, 6, 5, 5, 5, 5, 5, 6, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 2, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 6, 5, 5, 4, 3, 5, 6, 6, 6, 5, 5, 4, 3, 7, 6, 4, 3, 2, 3, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 23, 17, 3, 22, 9, 6, 0, 14, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 6, 6, 4, 3, 2, 5, 5, 4, 4, 4, 4, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 4, 2, 3, 4, 5, 6, 7, 7, 6, 7, 2, 2, 8, 12, 10, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 2, 1, 5, 7, 4, 4, 7, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 9, 7, 5, 4, 4, 5, 7, 9, 7, 5, 6, 8, 5, 1, 3, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 6, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 5, 5, 6, 7, 8, 8, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 3, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 6, 7, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 7, 7, 6, 4, 3, 4, 5, 6, 6, 6, 6, 5, 8, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 6, 7, 6, 5, 3, 2, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 5, 11, 11, 15, 3, 10, 0, 3, 10, 5, 5, 4, 3, 4, 5, 6, 7, 5, 5, 5, 6, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 1, 3, 3, 0, 7, 11, 1, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 9, 8, 5, 3, 2, 2, 4, 5, 6, 5, 4, 3, 2, 2, 3, 4, 9, 10, 10, 8, 5, 4, 4, 5, 4, 4, 4, 6, 8, 7, 4, 2, 5, 5, 5, 7, 9, 8, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 6, 6, 5, 5, 8, 7, 5, 3, 3, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 5, 6, 7, 7, 8, 12, 12, 3, 6, 0, 5, 2, 8, 8, 7, 6, 5, 5, 4, 4, 2, 4, 5, 5, 4, 5, 7, 9, 6, 6, 5, 5, 6, 8, 9, 11, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 8, 8, 6, 5, 5, 6, 4, 10, 12, 6, 1, 3, 6, 7, 3, 4, 5, 6, 6, 6, 6, 5, 7, 9, 9, 7, 4, 3, 5, 7, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 7, 6, 2, 8, 19, 17, 8, 5, 5, 6, 7, 6, 5, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 6, 3, 6, 3, 11, 5, 4, 0, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 7, 7, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 6, 7, 8, 8, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 8, 7, 5, 5, 7, 7, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 5, 4, 5, 7, 8, 7, 5, 5, 6, 6, 5, 4, 5, 8, 10, 4, 3, 1, 1, 3, 4, 4, 3, 2, 3, 5, 7, 9, 12, 13, 14, 8, 8, 7, 6, 5, 5, 5, 5, 6, 6, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 2, 8, 7, 6, 6, 4, 4, 3, 2, 6, 6, 6, 6, 5, 4, 3, 3, 5, 6, 6, 6, 6, 5, 4, 3, 8, 6, 4, 2, 1, 2, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 2, 0, 20, 8, 17, 0, 17, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 7, 7, 5, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 10, 9, 7, 5, 3, 2, 2, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 1, 0, 6, 10, 9, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 2, 0, 6, 8, 5, 4, 8, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 10, 8, 6, 5, 5, 6, 8, 10, 8, 5, 6, 8, 5, 1, 4, 12, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 8, 8, 7, 6, 5, 3, 4, 6, 7, 7, 6, 4, 3, 8, 7, 7, 7, 8, 9, 10, 10, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 7, 5, 4, 4, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 6, 8, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 2, 3, 4, 5, 5, 5, 5, 4, 10, 10, 8, 7, 5, 4, 2, 2, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 5, 6, 6, 7, 6, 5, 3, 2, 1, 1, 2, 3, 4, 6, 6, 7, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 8, 9, 9, 8, 7, 6, 1, 0, 5, 0, 4, 12, 6, 4, 6, 5, 4, 3, 4, 5, 7, 8, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 2, 3, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 3, 3, 4, 5, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 10, 5, 6, 6, 1, 6, 8, 0, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 16, 12, 6, 1, 0, 3, 8, 11, 8, 7, 5, 4, 3, 4, 5, 5, 9, 10, 10, 9, 6, 4, 4, 5, 4, 4, 5, 7, 8, 7, 4, 1, 6, 6, 7, 9, 10, 9, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 7, 7, 7, 6, 6, 9, 7, 5, 3, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 5, 4, 4, 4, 4, 4, 9, 8, 6, 5, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 3, 4, 5, 5, 5, 5, 19, 0, 12, 6, 11, 0, 4, 13, 9, 8, 7, 7, 6, 5, 4, 4, 4, 6, 8, 8, 6, 3, 2, 2, 7, 6, 5, 4, 5, 7, 10, 12, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 8, 8, 7, 5, 5, 6, 5, 4, 2, 1, 6, 11, 8, 0, 3, 3, 5, 6, 6, 6, 6, 6, 7, 9, 10, 8, 5, 4, 6, 9, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 7, 5, 0, 3, 12, 10, 0, 5, 6, 6, 7, 6, 5, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 6, 1, 12, 3, 12, 0, 8, 11, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 2, 2, 3, 4, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 3, 3, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 5, 5, 4, 4, 4, 4, 6, 6, 5, 4, 3, 3, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 21, 16, 10, 6, 4, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 1, 3, 5, 5, 5, 5, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 9, 14, 15, 13, 21, 72, 37, 21, 15, 4, 6, 9, 0, 12, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 6, 6, 6, 7, 7, 7, 1, 2, 3, 3, 4, 4, 3, 3, 8, 5, 2, 3, 6, 7, 6, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 3, 3, 5, 6, 7, 7, 5, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 10, 9, 7, 7, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 7, 7, 6, 8, 9, 9, 8, 7, 9, 10, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 3, 3, 3, 3, 3, 5, 5, 4, 4, 4, 5, 6, 6, 7, 6, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 5, 4, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 4, 5, 5, 6, 5, 4, 2, 1, 4, 4, 3, 3, 3, 4, 5, 5, 2, 2, 3, 4, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 5, 2, 10, 8, 6, 4, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 5, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 5, 4, 3, 4, 4, 5, 13, 1, 3, 11, 9, 7, 9, 8, 11, 7, 4, 4, 1, 0, 3, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 6, 8, 8, 6, 5, 6, 6, 2, 2, 4, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 6, 7, 8, 10, 10, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 3, 4, 6, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 2, 5, 8, 9, 8, 6, 6, 6, 2, 6, 8, 5, 5, 8, 8, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 9, 8, 7, 6, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 4, 2, 2, 4, 8, 10, 16, 12, 6, 3, 2, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 6, 6, 7, 8, 5, 6, 6, 6, 6, 5, 4, 3, 4, 8, 17, 23, 18, 6, 2, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 7, 8, 7, 4, 1, 2, 3, 3, 4, 4, 5, 5, 6, 9, 3, 0, 2, 5, 6, 4, 2, 7, 7, 7, 6, 6, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 10, 9, 6, 3, 4, 5, 2, 2, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 3, 5, 6, 7, 8, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 7, 6, 18, 19, 7, 2, 9, 10, 3, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 3, 4, 4, 3, 3, 2, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 5, 4, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 2, 1, 3, 4, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 2, 4, 5, 5, 5, 5, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 15, 8, 0, 0, 0, 55, 190, 241, 161, 51, 6, 6, 0, 6, 3, 0, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 6, 6, 6, 7, 5, 5, 6, 7, 7, 7, 7, 7, 8, 5, 3, 3, 5, 7, 6, 4, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 5, 6, 7, 7, 5, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 9, 8, 6, 6, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 7, 8, 8, 7, 7, 8, 10, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 3, 3, 3, 4, 7, 7, 6, 5, 4, 4, 4, 4, 7, 6, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 6, 5, 4, 2, 1, 5, 5, 4, 4, 4, 4, 5, 6, 3, 3, 4, 5, 5, 5, 4, 4, 5, 4, 4, 6, 7, 7, 5, 2, 9, 8, 6, 5, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 5, 4, 3, 4, 5, 5, 0, 2, 0, 0, 0, 6, 10, 12, 8, 5, 6, 9, 10, 6, 5, 8, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 5, 7, 7, 6, 4, 5, 6, 2, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 6, 7, 9, 9, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 6, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 3, 4, 6, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 5, 3, 1, 1, 3, 5, 11, 4, 0, 0, 4, 9, 9, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 5, 4, 3, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 4, 4, 4, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 4, 3, 3, 5, 8, 9, 13, 10, 6, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 4, 2, 1, 1, 5, 5, 5, 4, 5, 6, 7, 7, 5, 6, 6, 6, 5, 5, 4, 3, 4, 5, 10, 14, 11, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 5, 2, 3, 4, 4, 4, 4, 4, 5, 5, 8, 7, 6, 5, 5, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 7, 9, 9, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 3, 4, 6, 7, 7, 7, 6, 6, 3, 4, 4, 4, 5, 5, 6, 6, 1, 9, 10, 3, 0, 4, 4, 0, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 6, 6, 5, 4, 3, 2, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 7, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 1, 0, 0, 1, 3, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 15, 16, 27, 21, 69, 251, 255, 242, 69, 6, 18, 0, 4, 12, 0, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 5, 6, 7, 8, 8, 8, 8, 8, 7, 5, 3, 3, 5, 6, 6, 5, 7, 7, 7, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 4, 6, 7, 6, 5, 4, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 5, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 4, 6, 7, 7, 6, 5, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 3, 4, 4, 4, 9, 8, 6, 5, 4, 3, 3, 3, 7, 5, 4, 5, 6, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 4, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 3, 2, 7, 6, 5, 5, 5, 5, 6, 6, 4, 5, 5, 5, 5, 4, 4, 3, 5, 4, 4, 5, 7, 7, 5, 3, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 8, 18, 10, 3, 8, 10, 25, 58, 17, 10, 6, 9, 11, 9, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 6, 6, 5, 3, 4, 5, 2, 3, 4, 5, 5, 5, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 6, 7, 8, 3, 3, 3, 3, 3, 3, 3, 3, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 2, 2, 3, 3, 4, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 3, 4, 6, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 16, 14, 10, 5, 3, 4, 8, 12, 38, 17, 1, 2, 8, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 8, 7, 6, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 3, 3, 3, 3, 4, 5, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 4, 4, 5, 6, 7, 8, 9, 7, 5, 5, 6, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 3, 2, 1, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 4, 3, 5, 5, 3, 3, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 6, 8, 9, 6, 3, 3, 5, 7, 7, 6, 6, 6, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 9, 9, 7, 5, 4, 5, 8, 8, 8, 7, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 6, 7, 4, 4, 5, 6, 7, 7, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 3, 4, 5, 5, 5, 4, 4, 3, 5, 5, 6, 6, 6, 6, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 6, 5, 4, 4, 6, 6, 5, 4, 6, 6, 6, 6, 5, 4, 3, 2, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 1, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 8, 4, 0, 12, 61, 244, 255, 179, 49, 13, 22, 0, 2, 14, 5, 4, 5, 6, 6, 6, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 3, 3, 4, 5, 6, 5, 5, 5, 6, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 5, 4, 4, 4, 5, 7, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 5, 3, 3, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 6, 5, 4, 4, 4, 5, 6, 6, 3, 4, 6, 6, 4, 4, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 4, 5, 5, 7, 7, 6, 4, 4, 4, 4, 4, 6, 5, 4, 4, 6, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 7, 7, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 8, 7, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 6, 5, 4, 5, 6, 7, 5, 3, 6, 7, 7, 7, 7, 6, 5, 4, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 12, 0, 0, 33, 23, 0, 76, 253, 32, 18, 5, 2, 3, 5, 7, 10, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 5, 4, 3, 3, 4, 3, 3, 4, 5, 5, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 3, 4, 6, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 17, 16, 12, 8, 6, 7, 11, 15, 44, 20, 3, 6, 10, 5, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 10, 9, 8, 7, 6, 6, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 3, 3, 4, 5, 6, 6, 7, 7, 5, 4, 4, 6, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 6, 6, 5, 4, 3, 3, 3, 3, 4, 5, 6, 7, 6, 5, 5, 4, 4, 4, 4, 8, 5, 2, 3, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 3, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 3, 3, 5, 6, 6, 5, 6, 6, 6, 5, 4, 4, 3, 3, 3, 5, 5, 3, 4, 7, 8, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 4, 6, 7, 8, 7, 6, 5, 4, 9, 9, 8, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 4, 4, 5, 5, 6, 6, 6, 6, 3, 3, 3, 4, 4, 4, 4, 4, 5, 2, 3, 8, 9, 5, 4, 7, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 6, 6, 6, 6, 6, 5, 4, 3, 5, 4, 4, 4, 4, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 7, 8, 7, 3, 0, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 7, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 18, 2, 18, 3, 59, 60, 58, 20, 16, 8, 0, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 1, 2, 3, 4, 4, 4, 4, 3, 5, 5, 5, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 4, 4, 5, 6, 6, 4, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 4, 3, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 5, 4, 4, 4, 5, 6, 2, 4, 5, 5, 4, 4, 5, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 6, 7, 7, 6, 5, 3, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 8, 8, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 7, 7, 6, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 7, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 4, 3, 7, 5, 3, 4, 5, 6, 5, 4, 6, 7, 7, 7, 7, 6, 5, 4, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 5, 0, 17, 6, 0, 10, 18, 19, 38, 29, 15, 3, 0, 2, 4, 5, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 5, 4, 3, 3, 4, 3, 4, 5, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 5, 6, 6, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 3, 4, 6, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 2, 3, 6, 8, 19, 3, 0, 5, 8, 3, 4, 14, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 9, 8, 7, 6, 6, 6, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 5, 6, 7, 8, 8, 7, 6, 5, 2, 3, 5, 6, 6, 6, 5, 5, 3, 3, 4, 6, 8, 8, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 2, 3, 5, 7, 7, 6, 4, 3, 3, 3, 3, 4, 5, 6, 7, 6, 5, 4, 4, 4, 5, 5, 5, 4, 3, 3, 5, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 3, 3, 5, 6, 6, 5, 7, 7, 6, 6, 5, 4, 4, 4, 5, 4, 0, 0, 8, 17, 15, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 7, 8, 7, 6, 4, 8, 8, 7, 6, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 4, 4, 4, 4, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 1, 3, 8, 8, 3, 2, 5, 5, 6, 6, 7, 7, 6, 6, 5, 3, 3, 4, 4, 4, 4, 3, 3, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 3, 3, 4, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 7, 7, 4, 2, 6, 6, 6, 5, 5, 4, 4, 4, 5, 7, 7, 6, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 14, 6, 18, 0, 27, 11, 6, 31, 1, 14, 18, 0, 3, 15, 0, 1, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 3, 4, 5, 6, 6, 6, 5, 5, 5, 6, 6, 5, 3, 3, 5, 7, 3, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 3, 5, 6, 5, 4, 3, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 4, 3, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 3, 4, 6, 6, 4, 4, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 6, 7, 7, 3, 3, 3, 4, 5, 6, 8, 9, 6, 4, 3, 4, 5, 6, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 1, 3, 7, 10, 10, 8, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 8, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 7, 6, 6, 5, 4, 7, 5, 3, 3, 5, 6, 6, 5, 7, 7, 7, 6, 6, 5, 5, 5, 7, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 5, 6, 6, 6, 5, 5, 7, 16, 11, 8, 9, 0, 0, 28, 10, 5, 3, 6, 9, 7, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 6, 6, 5, 3, 4, 5, 4, 4, 5, 5, 5, 4, 3, 2, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 8, 8, 7, 6, 6, 6, 6, 7, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 3, 4, 6, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 0, 1, 3, 3, 1, 1, 3, 4, 8, 3, 3, 8, 7, 2, 4, 12, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 6, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 4, 4, 5, 5, 5, 5, 4, 3, 3, 2, 3, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 13, 8, 4, 3, 5, 6, 4, 2, 4, 4, 4, 3, 4, 5, 6, 6, 8, 7, 5, 3, 3, 4, 5, 6, 1, 5, 5, 3, 3, 4, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 6, 8, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 6, 6, 6, 6, 5, 5, 5, 5, 7, 5, 0, 0, 11, 23, 20, 7, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 5, 7, 9, 9, 6, 4, 6, 6, 5, 5, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 6, 7, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 9, 13, 12, 8, 5, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 2, 2, 3, 4, 4, 3, 2, 2, 6, 5, 4, 4, 6, 6, 5, 4, 3, 4, 5, 6, 7, 7, 7, 7, 9, 7, 5, 3, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 4, 6, 7, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 6, 7, 6, 4, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 13, 12, 0, 20, 6, 11, 15, 0, 6, 15, 0, 6, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 5, 6, 6, 6, 7, 4, 5, 6, 7, 7, 7, 6, 6, 4, 6, 7, 5, 3, 3, 5, 8, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 3, 4, 5, 5, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 2, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 3, 5, 6, 6, 5, 5, 6, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 7, 8, 4, 4, 4, 4, 5, 6, 7, 7, 5, 4, 3, 3, 5, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 2, 4, 6, 8, 9, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 3, 2, 3, 4, 6, 7, 8, 7, 5, 4, 3, 3, 3, 3, 4, 5, 6, 7, 7, 7, 6, 6, 8, 5, 3, 3, 4, 6, 6, 5, 9, 8, 6, 5, 4, 5, 6, 6, 8, 8, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 2, 3, 5, 6, 7, 6, 5, 5, 0, 1, 4, 5, 13, 19, 9, 0, 1, 0, 3, 9, 10, 6, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 5, 7, 7, 6, 4, 5, 6, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 6, 6, 5, 5, 5, 6, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 3, 4, 6, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 7, 6, 4, 3, 5, 6, 12, 12, 11, 9, 5, 3, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 3, 3, 2, 2, 2, 2, 3, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 9, 8, 6, 5, 5, 6, 8, 9, 6, 6, 5, 4, 4, 3, 3, 2, 4, 3, 3, 4, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 14, 9, 3, 2, 5, 7, 5, 2, 5, 5, 5, 4, 5, 6, 7, 7, 8, 7, 5, 3, 3, 4, 5, 6, 3, 9, 10, 4, 1, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 7, 8, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 5, 2, 5, 5, 6, 6, 6, 6, 6, 7, 6, 7, 3, 0, 8, 19, 16, 5, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 9, 9, 7, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 4, 4, 3, 3, 3, 4, 6, 7, 8, 7, 7, 7, 6, 6, 5, 5, 6, 19, 25, 16, 8, 8, 9, 7, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 6, 5, 4, 4, 6, 6, 5, 4, 2, 3, 5, 6, 7, 8, 8, 8, 10, 9, 6, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 9, 7, 6, 6, 7, 7, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 12, 9, 8, 11, 1, 5, 14, 0, 6, 6, 0, 1, 0, 11, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 3, 4, 5, 6, 6, 6, 5, 5, 4, 6, 7, 6, 3, 2, 5, 8, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 6, 6, 6, 6, 6, 3, 4, 5, 5, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 3, 3, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 7, 7, 5, 4, 4, 4, 4, 4, 4, 6, 7, 7, 6, 5, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 6, 6, 5, 4, 4, 4, 5, 5, 5, 4, 3, 3, 5, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 4, 3, 3, 2, 3, 4, 6, 7, 7, 6, 5, 4, 3, 2, 2, 2, 4, 4, 5, 7, 7, 7, 7, 7, 8, 5, 3, 3, 4, 6, 6, 5, 10, 8, 6, 4, 3, 4, 6, 7, 9, 8, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 2, 3, 5, 6, 7, 6, 6, 5, 14, 4, 4, 6, 0, 0, 5, 8, 5, 3, 4, 6, 5, 2, 4, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 6, 8, 8, 6, 5, 6, 6, 5, 5, 5, 5, 5, 4, 2, 2, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 5, 5, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 3, 4, 6, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 10, 9, 8, 5, 2, 2, 4, 6, 4, 6, 5, 1, 2, 5, 5, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 7, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 10, 8, 6, 4, 4, 6, 8, 10, 8, 7, 5, 4, 2, 2, 2, 2, 5, 3, 2, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 11, 6, 1, 1, 6, 9, 9, 6, 6, 6, 5, 5, 6, 6, 7, 8, 8, 7, 5, 3, 2, 3, 5, 6, 8, 15, 15, 6, 1, 4, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 9, 10, 11, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 7, 8, 7, 4, 1, 4, 5, 5, 6, 6, 7, 7, 8, 1, 6, 4, 0, 1, 10, 10, 1, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 5, 4, 3, 6, 9, 10, 7, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 5, 4, 3, 2, 3, 4, 5, 7, 9, 8, 8, 7, 7, 6, 6, 6, 1, 20, 27, 13, 2, 4, 5, 1, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 7, 7, 5, 3, 3, 3, 5, 6, 6, 6, 6, 6, 9, 8, 6, 5, 5, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 7, 4, 5, 7, 7, 5, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 5, 5, 5, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 3, 10, 8, 4, 8, 4, 2, 11, 0, 2, 5, 12, 5, 2, 13, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 7, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 6, 7, 7, 7, 0, 2, 4, 6, 7, 7, 7, 6, 3, 4, 4, 4, 4, 5, 6, 6, 8, 8, 7, 5, 6, 9, 8, 6, 7, 5, 5, 8, 9, 7, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 5, 7, 8, 7, 5, 4, 5, 6, 6, 7, 6, 5, 3, 2, 5, 5, 5, 4, 4, 3, 3, 2, 6, 6, 6, 6, 6, 4, 3, 3, 5, 6, 7, 7, 5, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 2, 2, 2, 2, 4, 5, 6, 7, 6, 7, 7, 7, 5, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 7, 6, 5, 3, 2, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 5, 4, 4, 5, 4, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 0, 1, 7, 6, 2, 11, 26, 6, 5, 3, 3, 5, 6, 6, 5, 9, 8, 6, 4, 3, 3, 4, 4, 7, 3, 2, 4, 4, 2, 3, 7, 3, 4, 6, 7, 7, 6, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 3, 3, 2, 2, 2, 3, 4, 4, 13, 10, 6, 4, 5, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 9, 8, 7, 6, 5, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 1, 1, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 5, 6, 6, 7, 8, 8, 5, 6, 7, 7, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 4, 5, 7, 8, 8, 7, 5, 4, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 0, 8, 0, 5, 0, 15, 7, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 6, 6, 5, 3, 1, 0, 3, 2, 2, 3, 4, 5, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 6, 11, 12, 8, 4, 3, 2, 2, 3, 4, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 5, 2, 1, 4, 7, 7, 7, 6, 6, 4, 4, 3, 3, 1, 4, 5, 2, 3, 6, 6, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 0, 11, 13, 2, 1, 11, 10, 0, 8, 7, 7, 6, 6, 5, 5, 4, 4, 5, 7, 8, 8, 7, 5, 4, 3, 4, 5, 6, 7, 6, 5, 4, 6, 10, 5, 3, 23, 47, 38, 10, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 7, 6, 5, 0, 6, 13, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 4, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 8, 8, 7, 6, 5, 7, 5, 18, 0, 9, 4, 3, 11, 7, 4, 3, 5, 5, 3, 1, 8, 8, 7, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 1, 2, 6, 10, 7, 7, 6, 5, 4, 4, 3, 3, 5, 5, 4, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 5, 5, 5, 5, 7, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 7, 7, 5, 3, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 5, 7, 6, 5, 5, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 5, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 7, 7, 7, 7, 6, 5, 4, 12, 7, 2, 6, 4, 0, 2, 14, 16, 10, 6, 0, 0, 9, 12, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 6, 7, 7, 6, 4, 4, 5, 6, 6, 6, 5, 5, 6, 7, 3, 0, 0, 8, 9, 3, 1, 3, 6, 7, 8, 7, 4, 0, 7, 6, 7, 9, 9, 8, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 6, 6, 5, 4, 5, 5, 6, 7, 6, 5, 3, 2, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 8, 8, 7, 6, 5, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 7, 4, 5, 6, 6, 5, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 7, 6, 5, 4, 3, 5, 5, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 3, 5, 4, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 2, 3, 8, 6, 0, 7, 19, 4, 3, 2, 3, 6, 8, 8, 7, 9, 8, 6, 4, 3, 3, 4, 4, 5, 3, 3, 7, 6, 3, 2, 4, 4, 4, 6, 6, 6, 6, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 4, 6, 5, 4, 4, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 9, 8, 7, 6, 5, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 5, 4, 5, 6, 6, 6, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 5, 5, 5, 6, 7, 7, 6, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 0, 12, 27, 12, 0, 0, 1, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 6, 9, 10, 7, 5, 4, 4, 3, 4, 4, 5, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 5, 2, 2, 4, 7, 7, 7, 6, 5, 5, 4, 3, 3, 9, 11, 10, 5, 3, 5, 3, 0, 5, 4, 4, 4, 5, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 3, 7, 8, 5, 1, 1, 3, 5, 7, 6, 6, 6, 6, 6, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 2, 3, 5, 6, 7, 6, 6, 5, 5, 9, 7, 3, 13, 26, 20, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 13, 0, 6, 3, 20, 21, 0, 11, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 7, 7, 7, 6, 5, 0, 0, 8, 4, 2, 6, 10, 0, 10, 7, 4, 4, 5, 5, 4, 2, 8, 7, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 2, 3, 6, 10, 8, 7, 7, 6, 5, 4, 4, 3, 6, 5, 5, 5, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 5, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 7, 7, 5, 3, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 3, 5, 6, 6, 5, 5, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 8, 7, 6, 6, 1, 10, 5, 1, 10, 13, 7, 5, 1, 2, 0, 2, 15, 16, 2, 0, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 6, 6, 6, 6, 7, 6, 5, 5, 4, 4, 4, 5, 0, 8, 14, 7, 2, 4, 6, 4, 4, 5, 6, 8, 8, 6, 5, 4, 5, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 4, 3, 4, 5, 6, 7, 11, 8, 5, 6, 8, 9, 7, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 6, 7, 4, 4, 4, 5, 6, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 4, 4, 4, 3, 9, 8, 8, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 5, 5, 4, 4, 5, 4, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 7, 3, 5, 8, 5, 0, 2, 11, 3, 2, 1, 3, 6, 8, 9, 9, 8, 7, 5, 4, 3, 3, 4, 5, 5, 3, 5, 9, 8, 3, 1, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 6, 5, 4, 4, 5, 5, 0, 2, 5, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 8, 7, 6, 5, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 8, 7, 7, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 15, 25, 58, 24, 10, 0, 11, 5, 5, 5, 5, 6, 6, 6, 6, 7, 6, 6, 5, 5, 5, 5, 6, 5, 4, 4, 3, 4, 4, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 6, 5, 5, 6, 4, 4, 5, 5, 5, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 3, 3, 4, 6, 7, 7, 6, 5, 5, 4, 3, 3, 12, 14, 12, 7, 5, 5, 4, 0, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 2, 3, 7, 4, 0, 0, 8, 5, 5, 5, 5, 6, 6, 6, 6, 4, 5, 6, 7, 7, 6, 5, 4, 2, 3, 4, 5, 6, 7, 7, 7, 4, 7, 8, 6, 6, 8, 6, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 13, 5, 0, 0, 0, 0, 10, 0, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 6, 5, 5, 4, 8, 2, 16, 0, 11, 7, 21, 3, 9, 6, 4, 4, 5, 5, 4, 3, 7, 7, 6, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 4, 6, 9, 9, 8, 8, 7, 6, 5, 5, 4, 7, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 7, 7, 5, 3, 4, 4, 5, 6, 6, 6, 5, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 6, 6, 3, 5, 6, 6, 5, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 1, 9, 4, 0, 9, 14, 8, 6, 19, 14, 8, 0, 8, 9, 0, 12, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 39, 24, 11, 8, 9, 7, 4, 4, 8, 5, 4, 5, 4, 3, 5, 9, 2, 5, 6, 3, 2, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 4, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 7, 7, 8, 6, 5, 3, 2, 3, 5, 7, 9, 9, 5, 3, 6, 12, 15, 13, 9, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 6, 6, 5, 4, 4, 5, 8, 9, 9, 8, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 5, 5, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 9, 8, 7, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 6, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 3, 5, 8, 5, 0, 1, 6, 4, 3, 2, 3, 5, 7, 8, 7, 8, 7, 5, 4, 3, 4, 5, 5, 7, 4, 4, 7, 7, 3, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 7, 6, 5, 5, 5, 5, 6, 6, 1, 4, 6, 7, 5, 5, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 17, 34, 9, 0, 0, 7, 5, 5, 5, 5, 6, 6, 6, 6, 10, 9, 7, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 7, 8, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 9, 9, 6, 5, 8, 8, 5, 3, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 2, 2, 6, 9, 8, 6, 6, 4, 4, 4, 5, 6, 6, 7, 7, 4, 5, 6, 6, 6, 6, 5, 4, 2, 2, 3, 5, 6, 7, 7, 8, 5, 4, 6, 9, 8, 5, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 5, 0, 3, 0, 22, 13, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 6, 0, 9, 6, 7, 0, 8, 5, 7, 6, 5, 4, 4, 5, 5, 5, 6, 6, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 8, 9, 9, 8, 8, 7, 6, 5, 5, 7, 7, 7, 6, 6, 6, 5, 5, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 7, 7, 5, 3, 4, 5, 6, 6, 6, 5, 4, 4, 5, 6, 7, 8, 8, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 6, 3, 4, 6, 5, 4, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 6, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 11, 4, 0, 4, 5, 3, 9, 4, 0, 15, 12, 5, 0, 0, 22, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 3, 3, 4, 6, 8, 9, 98, 40, 0, 0, 13, 12, 5, 5, 2, 2, 5, 9, 7, 1, 1, 5, 3, 8, 9, 3, 0, 3, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 6, 6, 7, 7, 8, 6, 5, 3, 2, 3, 5, 7, 9, 7, 4, 1, 4, 10, 13, 11, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 6, 6, 7, 5, 4, 6, 9, 11, 10, 9, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 7, 6, 6, 5, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 7, 7, 7, 6, 5, 4, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 3, 2, 4, 6, 5, 2, 2, 4, 7, 5, 4, 3, 5, 6, 5, 4, 7, 6, 5, 4, 3, 4, 5, 6, 9, 5, 3, 4, 4, 3, 5, 9, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 3, 3, 4, 5, 6, 7, 4, 5, 5, 4, 3, 4, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 5, 5, 5, 6, 6, 3, 3, 3, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 1, 14, 4, 3, 0, 12, 3, 5, 5, 5, 5, 4, 4, 4, 4, 13, 11, 8, 5, 3, 3, 3, 3, 5, 5, 4, 4, 5, 5, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 6, 7, 7, 3, 3, 2, 2, 2, 3, 5, 6, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 1, 5, 5, 3, 4, 8, 9, 6, 3, 4, 5, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 1, 5, 5, 4, 13, 24, 17, 1, 3, 3, 4, 4, 5, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 4, 5, 6, 7, 8, 9, 4, 4, 9, 11, 7, 6, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 0, 11, 1, 22, 13, 12, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 4, 4, 4, 11, 5, 16, 44, 21, 6, 0, 14, 5, 5, 5, 4, 4, 5, 6, 7, 5, 5, 4, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 6, 6, 6, 9, 9, 8, 8, 7, 6, 5, 5, 7, 7, 7, 6, 6, 6, 5, 5, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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17, 9, 0, 0, 12, 4, 6, 17, 28, 24, 10, 5, 9, 13, 22, 21, 10, 3, 6, 8, 4, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 9, 9, 7, 5, 3, 6, 7, 8, 8, 8, 6, 5, 4, 5, 5, 4, 3, 4, 5, 7, 8, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 3, 2, 1, 0, 4, 4, 4, 5, 5, 6, 6, 6, 4, 3, 3, 3, 4, 5, 6, 7, 8, 5, 2, 4, 8, 9, 7, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 3, 4, 5, 5, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 5, 4, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 4, 8, 6, 4, 4, 5, 6, 5, 4, 6, 6, 4, 3, 3, 4, 6, 7, 6, 2, 1, 4, 6, 6, 9, 14, 6, 6, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 7, 5, 4, 4, 4, 4, 4, 2, 3, 9, 15, 15, 9, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 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6, 0, 0, 2, 4, 5, 5, 4, 4, 7, 10, 4, 3, 3, 3, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 7, 8, 6, 4, 8, 7, 7, 6, 5, 4, 4, 3, 6, 5, 5, 5, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 7, 7, 5, 3, 6, 6, 6, 6, 6, 5, 3, 3, 7, 6, 4, 3, 3, 4, 6, 7, 3, 3, 4, 4, 6, 6, 7, 7, 7, 7, 5, 4, 4, 4, 4, 4, 2, 3, 5, 5, 3, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 7, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 8, 6, 6, 11, 4, 0, 18, 71, 183, 43, 15, 17, 0, 6, 1, 12, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 6, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 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5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 9, 8, 6, 5, 4, 5, 6, 6, 15, 4, 10, 0, 4, 6, 19, 0, 1, 3, 5, 5, 3, 4, 7, 11, 3, 3, 3, 3, 3, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 2, 4, 7, 8, 6, 3, 7, 7, 6, 5, 4, 4, 3, 3, 5, 5, 4, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 7, 8, 8, 7, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 0, 11, 0, 8, 0, 0, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 3, 3, 6, 9, 9, 5, 1, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 2, 4, 6, 6, 6, 6, 8, 10, 21, 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15, 15, 8, 2, 2, 5, 6, 4, 5, 9, 10, 7, 7, 5, 3, 1, 1, 3, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 11, 5, 2, 0, 4, 13, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 8, 8, 9, 8, 7, 7, 7, 8, 7, 6, 6, 5, 5, 6, 6, 7, 0, 14, 23, 12, 1, 2, 7, 7, 5, 5, 5, 5, 6, 7, 8, 9, 11, 9, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 2, 8, 7, 7, 6, 6, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 5, 6, 6, 7, 9, 10, 11, 11, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 5, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 5, 2, 2, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 6, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 2, 3, 5, 5, 6, 7, 19, 10, 3, 5, 9, 7, 4, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 6, 7, 8, 9, 8, 7, 6, 7, 7, 7, 6, 6, 6, 5, 5, 2, 2, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 7, 6, 4, 4, 6, 8, 4, 5, 7, 8, 7, 5, 3, 1, 5, 4, 3, 2, 3, 4, 6, 7, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 7, 7, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 0, 10, 3, 12, 11, 6, 19, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 4, 4, 4, 3, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 3, 3, 2, 3, 6, 9, 9, 6, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 5, 6, 6, 5, 6, 7, 9, 14, 12, 9, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0, 0, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 10, 8, 6, 3, 2, 2, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 5, 10, 17, 14, 3, 2, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 5, 5, 5, 5, 6, 6, 5, 6, 7, 6, 4, 3, 4, 5, 4, 4, 5, 5, 6, 7, 8, 8, 7, 6, 6, 5, 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7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 5, 6, 6, 33, 18, 5, 4, 7, 8, 7, 7, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 7, 8, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 4, 2, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 5, 4, 4, 6, 8, 3, 5, 6, 7, 7, 6, 4, 2, 4, 3, 3, 3, 4, 4, 5, 6, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 5, 6, 6, 6, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 1, 7, 0, 3, 6, 0, 5, 5, 5, 5, 4, 4, 4, 4, 4, 7, 6, 6, 6, 5, 5, 5, 4, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 2, 3, 5, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 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5, 5, 4, 4, 4, 7, 7, 7, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 2, 3, 4, 5, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 7, 7, 6, 4, 2, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 5, 5, 4, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 4, 4, 4, 3, 3, 3, 2, 2, 2, 3, 3, 3, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 6, 8, 5, 2, 3, 9, 15, 5, 5, 4, 4, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 2, 1, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 9, 7, 5, 4, 4, 5, 7, 9, 5, 6, 8, 9, 8, 7, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 9, 9, 7, 5, 3, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 5, 4, 3, 3, 3, 3, 3, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 7, 8, 8, 6, 3, 0, 3, 6, 6, 3, 3, 7, 7, 4, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 17, 1, 0, 9, 4, 17, 0, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 13, 6, 1, 5, 14, 18, 13, 7, 6, 5, 4, 4, 4, 4, 5, 6, 0, 6, 9, 6, 3, 4, 6, 7, 6, 6, 4, 3, 3, 3, 3, 3, 8, 6, 4, 3, 5, 7, 7, 7, 5, 5, 5, 6, 6, 7, 7, 8, 9, 9, 8, 7, 5, 4, 3, 3, 5, 5, 6, 6, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 8, 8, 8, 7, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 7, 8, 10, 11, 12, 4, 5, 6, 7, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 5, 4, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 5, 5, 5, 5, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 2, 2, 4, 4, 2, 5, 18, 33, 7, 7, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 5, 5, 4, 4, 4, 3, 3, 3, 3, 4, 5, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 5, 6, 7, 10, 3, 3, 4, 5, 6, 6, 6, 6, 1, 2, 4, 5, 6, 5, 4, 3, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 7, 1, 3, 10, 52, 0, 7, 7, 7, 6, 5, 5, 4, 4, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 3, 3, 4, 5, 6, 3, 5, 6, 6, 4, 4, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 7, 5, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 7, 5, 3, 2, 3, 4, 7, 6, 5, 4, 5, 6, 8, 9, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 3, 3, 9, 8, 8, 7, 5, 4, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 7, 5, 2, 1, 4, 8, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 3, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 5, 6, 7, 5, 6, 7, 7, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 8, 7, 6, 6, 7, 6, 5, 4, 3, 3, 3, 3, 3, 5, 6, 6, 4, 4, 5, 7, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 6, 8, 9, 9, 6, 3, 1, 3, 6, 6, 3, 3, 6, 6, 3, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 0, 25, 63, 28, 3, 9, 1, 13, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 15, 7, 1, 5, 14, 18, 13, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 7, 7, 6, 4, 3, 4, 5, 6, 5, 5, 4, 4, 4, 4, 5, 9, 7, 4, 4, 5, 6, 7, 6, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 8, 8, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 2, 4, 6, 8, 9, 10, 5, 5, 6, 6, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 2, 4, 6, 7, 5, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 7, 5, 4, 4, 6, 6, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 8, 7, 6, 3, 1, 8, 29, 50, 9, 7, 5, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 7, 7, 6, 5, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 2, 3, 5, 7, 7, 9, 13, 16, 4, 4, 5, 5, 5, 5, 6, 6, 2, 3, 4, 4, 5, 5, 5, 4, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 6, 5, 4, 3, 3, 3, 3, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 6, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 3, 4, 4, 5, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 5, 6, 22, 38, 138, 47, 8, 8, 7, 6, 5, 5, 4, 4, 6, 5, 5, 5, 4, 4, 4, 3, 2, 3, 3, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 3, 3, 4, 5, 6, 5, 6, 7, 6, 3, 2, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 7, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 5, 6, 5, 3, 2, 3, 5, 6, 5, 5, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 5, 5, 5, 5, 6, 6, 8, 8, 7, 7, 6, 5, 5, 4, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 12, 11, 10, 9, 8, 7, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 4, 3, 3, 3, 5, 5, 5, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 6, 9, 7, 3, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 9, 8, 6, 5, 4, 4, 4, 4, 3, 4, 6, 6, 4, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 6, 5, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 6, 5, 4, 3, 4, 3, 6, 6, 3, 3, 6, 5, 2, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 26, 90, 152, 53, 5, 5, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 9, 6, 4, 5, 9, 10, 8, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 5, 4, 4, 3, 2, 2, 2, 6, 5, 5, 5, 5, 6, 6, 7, 11, 8, 5, 4, 5, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 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5, 6, 7, 7, 7, 4, 4, 3, 3, 4, 6, 7, 9, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 5, 6, 7, 8, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 5, 0, 11, 21, 151, 33, 9, 8, 7, 7, 6, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 1, 1, 2, 3, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 3, 2, 3, 5, 6, 6, 7, 8, 6, 2, 1, 3, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 5, 3, 3, 4, 5, 4, 4, 5, 6, 6, 6, 5, 4, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 3, 3, 4, 5, 5, 6, 7, 7, 10, 10, 9, 8, 7, 5, 5, 4, 7, 7, 6, 5, 4, 4, 4, 4, 3, 3, 4, 5, 7, 8, 9, 9, 4, 4, 4, 5, 5, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 5, 5, 6, 6, 3, 1, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 9, 13, 10, 4, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 4, 3, 3, 3, 3, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 9, 9, 7, 6, 5, 4, 4, 4, 2, 4, 6, 5, 5, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 6, 5, 4, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 3, 1, 0, 1, 4, 6, 3, 6, 6, 3, 2, 5, 5, 2, 3, 3, 4, 5, 5, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 34, 60, 118, 33, 15, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 3, 5, 6, 5, 3, 1, 3, 5, 5, 4, 4, 3, 3, 4, 4, 5, 8, 6, 4, 6, 6, 6, 6, 7, 5, 5, 5, 5, 6, 7, 8, 9, 11, 9, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 2, 10, 10, 9, 7, 5, 4, 2, 2, 4, 4, 5, 5, 5, 4, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 6, 5, 5, 8, 7, 5, 4, 3, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 8, 10, 10, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 6, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 7, 8, 8, 9, 9, 5, 4, 7, 9, 8, 9, 12, 10, 8, 5, 3, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 6, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 3, 3, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 8, 8, 6, 4, 4, 5, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 4, 3, 2, 3, 4, 6, 7, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 6, 6, 7, 7, 8, 7, 6, 5, 5, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 3, 4, 4, 6, 7, 8, 9, 9, 4, 4, 3, 3, 4, 6, 8, 9, 5, 5, 5, 6, 6, 7, 7, 7, 5, 10, 12, 7, 4, 5, 7, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 4, 3, 2, 2, 3, 4, 15, 7, 11, 0, 19, 4, 0, 27, 8, 6, 7, 9, 7, 2, 2, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 9, 10, 8, 7, 7, 6, 6, 7, 7, 8, 3, 1, 3, 9, 9, 3, 2, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 2, 4, 6, 6, 5, 4, 5, 6, 3, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 0, 13, 14, 7, 18, 0, 15, 5, 11, 11, 9, 8, 6, 5, 4, 3, 8, 7, 5, 4, 4, 5, 7, 8, 7, 6, 4, 3, 3, 4, 6, 7, 7, 7, 7, 6, 6, 6, 5, 5, 4, 7, 8, 7, 5, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 4, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 3, 3, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 6, 7, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 8, 7, 4, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 6, 6, 4, 4, 3, 2, 2, 5, 8, 8, 5, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 6, 9, 8, 4, 2, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 3, 3, 2, 9, 0, 9, 10, 4, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 1, 6, 8, 5, 3, 5, 6, 5, 4, 5, 7, 8, 7, 5, 3, 1, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 9, 20, 24, 13, 5, 6, 8, 6, 4, 5, 7, 8, 7, 5, 3, 1, 2, 2, 3, 4, 6, 7, 8, 8, 6, 6, 5, 3, 2, 3, 7, 10, 7, 6, 6, 5, 5, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 5, 5, 4, 3, 3, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 5, 5, 6, 6, 3, 5, 6, 6, 4, 2, 2, 3, 1, 6, 10, 7, 1, 1, 11, 20, 5, 4, 4, 6, 6, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 5, 6, 6, 5, 3, 2, 3, 4, 5, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 8, 5, 5, 5, 4, 4, 3, 3, 3, 6, 8, 8, 6, 3, 1, 2, 4, 2, 3, 6, 9, 9, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 5, 4, 3, 2, 2, 1, 4, 4, 3, 3, 3, 4, 5, 5, 4, 4, 5, 6, 6, 7, 8, 8, 0, 1, 2, 3, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 13, 10, 0, 7, 11, 0, 21, 12, 0, 0, 10, 8, 2, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 7, 9, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 5, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 3, 4, 5, 5, 3, 2, 4, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 9, 13, 12, 5, 0, 4, 4, 4, 4, 4, 4, 4, 4, 3, 1, 3, 9, 12, 8, 4, 2, 5, 3, 2, 3, 5, 7, 7, 6, 4, 4, 4, 5, 5, 6, 6, 6, 2, 5, 8, 8, 6, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 4, 3, 4, 6, 7, 6, 5, 7, 4, 4, 8, 8, 4, 4, 8, 7, 7, 5, 4, 4, 4, 4, 4, 2, 4, 6, 8, 9, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 7, 5, 0, 21, 15, 12, 94, 18, 13, 7, 3, 3, 4, 4, 5, 4, 5, 6, 7, 7, 7, 7, 6, 5, 4, 3, 3, 5, 9, 13, 16, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 4, 9, 11, 6, 4, 5, 7, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 4, 3, 3, 3, 4, 4, 0, 1, 0, 27, 4, 1, 36, 0, 6, 4, 5, 8, 7, 3, 3, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 8, 8, 9, 7, 7, 7, 7, 7, 7, 7, 7, 2, 8, 19, 27, 21, 9, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 0, 2, 4, 4, 3, 3, 4, 5, 3, 3, 4, 4, 5, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 0, 12, 27, 0, 37, 83, 12, 0, 9, 9, 8, 7, 6, 5, 4, 3, 7, 6, 6, 5, 5, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 6, 5, 5, 5, 4, 4, 6, 8, 7, 5, 4, 5, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 2, 5, 7, 7, 5, 4, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 7, 8, 8, 7, 4, 3, 4, 6, 7, 6, 3, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 9, 7, 6, 11, 16, 17, 13, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 16, 7, 10, 7, 1, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 10, 13, 9, 1, 4, 5, 7, 7, 7, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 5, 5, 6, 3, 9, 12, 8, 4, 5, 6, 6, 4, 5, 7, 7, 7, 5, 3, 2, 3, 3, 4, 5, 5, 6, 7, 7, 6, 4, 3, 3, 5, 6, 6, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 7, 7, 6, 5, 4, 4, 5, 5, 3, 5, 6, 6, 4, 2, 3, 3, 1, 5, 8, 6, 2, 2, 8, 14, 10, 9, 8, 7, 6, 3, 2, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 8, 6, 4, 1, 1, 1, 3, 5, 6, 6, 6, 6, 7, 7, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 8, 5, 3, 2, 3, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 7, 6, 6, 5, 4, 3, 3, 2, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 15, 0, 3, 8, 18, 22, 0, 0, 9, 5, 10, 11, 3, 6, 14, 13, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 5, 6, 6, 6, 6, 3, 5, 6, 5, 4, 3, 4, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 6, 2, 0, 1, 5, 8, 9, 8, 5, 5, 5, 5, 5, 5, 5, 5, 9, 3, 0, 2, 6, 6, 7, 10, 7, 5, 3, 4, 6, 7, 7, 6, 4, 4, 5, 6, 6, 6, 5, 5, 4, 5, 6, 7, 7, 6, 6, 6, 4, 4, 4, 5, 5, 5, 6, 6, 5, 4, 3, 4, 6, 7, 6, 5, 2, 3, 4, 4, 5, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 2, 4, 6, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 8, 5, 3, 0, 40, 168, 15, 11, 6, 4, 3, 4, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 4, 4, 3, 3, 5, 8, 11, 13, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 4, 8, 9, 5, 3, 5, 6, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 3, 4, 4, 4, 16, 15, 15, 0, 0, 23, 0, 24, 6, 3, 4, 7, 7, 5, 5, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 6, 6, 7, 7, 5, 6, 7, 8, 8, 7, 6, 5, 4, 13, 26, 30, 21, 8, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 1, 2, 4, 4, 2, 2, 3, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 35, 0, 26, 9, 130, 250, 47, 11, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 5, 4, 4, 4, 3, 4, 6, 7, 6, 5, 4, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 2, 3, 4, 5, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 6, 6, 5, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 5, 10, 13, 13, 10, 5, 2, 4, 5, 5, 4, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 7, 3, 3, 9, 18, 20, 12, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 8, 7, 6, 4, 3, 3, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 2, 3, 5, 6, 6, 5, 3, 2, 6, 4, 3, 6, 16, 21, 12, 0, 4, 5, 6, 7, 7, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 3, 3, 5, 5, 6, 7, 4, 2, 3, 7, 7, 4, 3, 6, 4, 5, 6, 7, 7, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 5, 8, 8, 5, 2, 6, 6, 5, 5, 5, 5, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 5, 5, 6, 7, 7, 7, 8, 8, 7, 6, 4, 3, 2, 2, 6, 5, 4, 3, 3, 3, 4, 4, 3, 5, 7, 6, 4, 3, 3, 4, 2, 4, 5, 5, 4, 3, 5, 7, 10, 10, 9, 7, 5, 4, 3, 2, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 7, 4, 2, 1, 4, 10, 17, 21, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 8, 4, 0, 1, 5, 8, 7, 5, 6, 5, 3, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 6, 7, 7, 8, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 6, 5, 5, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 6, 5, 4, 4, 4, 8, 7, 6, 5, 4, 4, 4, 5, 6, 6, 5, 4, 3, 3, 2, 2, 7, 7, 7, 8, 7, 7, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 10, 0, 19, 10, 0, 7, 22, 27, 0, 4, 12, 6, 0, 4, 14, 9, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 7, 7, 7, 6, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 6, 7, 6, 5, 4, 5, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 9, 8, 7, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 5, 9, 7, 1, 0, 0, 9, 7, 5, 5, 6, 7, 6, 5, 4, 5, 6, 7, 7, 5, 4, 3, 6, 5, 4, 5, 7, 8, 8, 7, 3, 3, 3, 4, 4, 4, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 4, 10, 10, 4, 3, 9, 9, 3, 7, 6, 5, 4, 4, 4, 5, 5, 3, 4, 6, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 2, 0, 0, 10, 11, 5, 29, 9, 7, 4, 4, 4, 5, 4, 3, 3, 3, 4, 5, 6, 5, 5, 5, 3, 4, 4, 5, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 7, 7, 4, 3, 6, 6, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 3, 0, 8, 22, 6, 4, 12, 0, 11, 6, 5, 8, 9, 6, 6, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 7, 9, 9, 7, 5, 4, 7, 11, 14, 13, 7, 2, 2, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 6, 4, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 13, 0, 9, 42, 60, 23, 21, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 7, 7, 6, 5, 3, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 6, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 6, 6, 7, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 7, 8, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 7, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 5, 5, 5, 5, 6, 2, 3, 4, 5, 6, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 5, 9, 12, 12, 9, 5, 2, 5, 4, 4, 3, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 1, 1, 5, 11, 12, 7, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 0, 6, 1, 4, 8, 4, 5, 1, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 1, 3, 5, 7, 7, 5, 3, 1, 6, 4, 2, 5, 14, 19, 13, 2, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 2, 2, 3, 5, 6, 6, 7, 12, 3, 1, 9, 11, 4, 1, 5, 4, 5, 6, 6, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 6, 6, 8, 6, 4, 2, 2, 4, 6, 8, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 5, 6, 7, 7, 8, 7, 6, 6, 5, 5, 4, 4, 3, 5, 4, 3, 2, 2, 2, 3, 3, 4, 6, 7, 7, 5, 3, 3, 4, 4, 4, 4, 5, 6, 6, 4, 2, 5, 7, 7, 4, 4, 6, 6, 4, 5, 6, 6, 7, 7, 6, 6, 5, 7, 5, 4, 3, 3, 4, 5, 7, 4, 3, 2, 2, 7, 13, 21, 25, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 5, 6, 8, 8, 6, 5, 6, 6, 5, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 6, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 10, 9, 7, 6, 5, 4, 4, 4, 6, 5, 5, 5, 4, 4, 3, 3, 8, 8, 8, 8, 7, 6, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 0, 9, 1, 2, 13, 6, 10, 15, 5, 4, 4, 0, 2, 7, 1, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 3, 5, 5, 5, 4, 5, 5, 5, 6, 5, 6, 8, 7, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 3, 7, 11, 13, 10, 6, 3, 1, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 8, 10, 6, 3, 10, 21, 11, 9, 7, 6, 7, 7, 6, 4, 4, 5, 6, 7, 7, 5, 3, 2, 5, 4, 2, 4, 6, 8, 7, 6, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 11, 20, 18, 6, 4, 11, 9, 0, 6, 6, 5, 4, 4, 4, 5, 6, 4, 4, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 8, 13, 1, 0, 8, 8, 0, 5, 4, 3, 4, 5, 6, 4, 2, 2, 3, 4, 4, 5, 5, 4, 4, 3, 3, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 6, 3, 4, 7, 7, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 11, 0, 27, 0, 6, 19, 27, 32, 17, 11, 7, 9, 10, 7, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 4, 4, 4, 4, 3, 5, 7, 8, 8, 7, 5, 3, 9, 6, 3, 0, 1, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 14, 14, 13, 10, 6, 4, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 44, 0, 16, 0, 2, 13, 0, 9, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 5, 7, 7, 5, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 3, 3, 3, 3, 4, 8, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 7, 8, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 7, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 5, 5, 5, 5, 6, 3, 3, 3, 4, 6, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 7, 7, 6, 5, 4, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 7, 8, 8, 7, 5, 5, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 8, 25, 6, 4, 11, 2, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 1, 3, 5, 7, 7, 5, 3, 1, 3, 5, 4, 2, 5, 11, 12, 8, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 4, 4, 5, 6, 6, 13, 3, 1, 9, 12, 6, 2, 5, 4, 5, 5, 5, 6, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 7, 7, 5, 2, 1, 5, 9, 6, 5, 4, 4, 4, 4, 5, 6, 8, 6, 4, 2, 2, 4, 6, 8, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 3, 4, 5, 6, 7, 7, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 3, 2, 2, 2, 2, 2, 4, 6, 8, 7, 5, 4, 4, 5, 6, 5, 5, 7, 8, 8, 4, 1, 2, 6, 6, 2, 3, 7, 7, 3, 5, 6, 6, 7, 7, 6, 6, 5, 7, 6, 5, 3, 3, 5, 6, 7, 6, 5, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 9, 15, 15, 10, 5, 4, 5, 5, 6, 8, 8, 8, 6, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 6, 6, 5, 10, 9, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 6, 6, 7, 7, 6, 5, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 0, 5, 3, 0, 17, 11, 35, 130, 64, 23, 2, 7, 8, 5, 7, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 9, 9, 7, 5, 4, 6, 6, 5, 4, 4, 4, 5, 6, 5, 6, 8, 7, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 0, 2, 7, 9, 8, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 0, 0, 13, 48, 79, 12, 10, 7, 6, 7, 7, 5, 4, 4, 5, 6, 6, 6, 5, 4, 3, 4, 3, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 6, 6, 7, 7, 5, 4, 3, 4, 6, 7, 6, 5, 11, 19, 17, 6, 3, 10, 9, 0, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 7, 16, 1, 0, 19, 35, 2, 2, 2, 4, 6, 6, 4, 2, 2, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 6, 5, 4, 2, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 6, 5, 3, 5, 9, 8, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 7, 6, 6, 6, 15, 5, 0, 22, 12, 44, 250, 125, 20, 12, 7, 9, 10, 7, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 6, 5, 3, 2, 7, 11, 8, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 17, 17, 14, 10, 6, 4, 5, 6, 9, 9, 9, 8, 8, 8, 8, 7, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 0, 19, 17, 12, 2, 30, 0, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 5, 4, 4, 4, 3, 6, 4, 3, 4, 5, 6, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 8, 8, 7, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 3, 5, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 3, 3, 3, 3, 4, 5, 4, 4, 4, 5, 7, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 7, 9, 9, 5, 1, 0, 4, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 31, 51, 14, 3, 10, 0, 10, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 2, 3, 5, 6, 6, 5, 3, 2, 1, 5, 6, 1, 0, 4, 9, 11, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 5, 0, 0, 5, 8, 7, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 2, 4, 5, 5, 3, 3, 5, 8, 5, 5, 4, 4, 4, 4, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 7, 7, 6, 5, 5, 4, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 2, 2, 3, 4, 6, 7, 8, 8, 5, 4, 3, 2, 2, 2, 2, 3, 5, 6, 8, 7, 5, 4, 4, 5, 5, 5, 5, 7, 8, 7, 5, 3, 3, 8, 8, 2, 2, 7, 7, 1, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 4, 5, 6, 6, 6, 5, 4, 3, 7, 7, 7, 6, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 1, 10, 18, 17, 9, 2, 2, 6, 4, 5, 8, 10, 9, 7, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 4, 5, 5, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 5, 4, 4, 5, 6, 7, 7, 8, 8, 4, 4, 5, 5, 5, 4, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 6, 14, 7, 5, 10, 0, 63, 249, 91, 36, 2, 7, 8, 3, 7, 12, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 8, 7, 6, 8, 6, 5, 3, 3, 4, 5, 6, 4, 6, 7, 6, 5, 4, 5, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 22, 17, 11, 6, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 1, 15, 46, 75, 11, 9, 6, 5, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 2, 5, 7, 8, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 5, 4, 3, 4, 6, 7, 6, 5, 3, 8, 8, 2, 2, 8, 8, 2, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 10, 4, 0, 8, 12, 10, 9, 0, 3, 2, 2, 4, 6, 6, 5, 3, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 5, 6, 5, 4, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 7, 5, 4, 6, 11, 9, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 7, 7, 6, 6, 0, 1, 9, 0, 11, 20, 105, 47, 18, 10, 4, 6, 8, 7, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 6, 4, 6, 10, 8, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 13, 13, 11, 7, 4, 3, 5, 7, 8, 8, 7, 7, 6, 6, 6, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 20, 0, 27, 0, 0, 18, 3, 8, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 6, 5, 5, 5, 4, 6, 4, 2, 3, 5, 6, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 6, 6, 5, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 6, 6, 4, 4, 4, 4, 6, 6, 7, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 8, 5, 2, 2, 5, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 3, 2, 2, 3, 4, 4, 4, 4, 5, 8, 11, 10, 7, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 2, 1, 0, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 6, 6, 6, 5, 5, 23, 52, 9, 0, 11, 0, 10, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 0, 6, 7, 3, 1, 4, 7, 7, 4, 4, 4, 4, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 1, 3, 4, 2, 4, 7, 6, 2, 4, 4, 4, 4, 5, 5, 6, 7, 6, 5, 5, 5, 5, 5, 5, 4, 6, 4, 5, 10, 15, 16, 11, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 4, 3, 3, 3, 3, 3, 5, 7, 8, 8, 6, 4, 4, 5, 3, 4, 5, 5, 5, 4, 4, 5, 2, 10, 10, 3, 4, 11, 12, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 6, 8, 9, 10, 10, 10, 9, 8, 8, 7, 6, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 8, 12, 11, 6, 3, 4, 7, 3, 4, 5, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 3, 3, 4, 5, 5, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 15, 6, 0, 2, 20, 1, 15, 113, 58, 22, 4, 8, 5, 1, 5, 7, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 7, 7, 8, 8, 8, 8, 7, 5, 3, 3, 3, 5, 6, 3, 5, 6, 5, 4, 3, 4, 6, 4, 4, 6, 6, 6, 6, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 32, 23, 12, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 6, 9, 9, 8, 14, 22, 9, 7, 5, 4, 5, 6, 5, 4, 4, 3, 2, 2, 4, 6, 8, 10, 1, 8, 14, 14, 8, 3, 3, 5, 4, 4, 5, 5, 5, 6, 6, 6, 5, 4, 3, 4, 6, 7, 6, 5, 1, 1, 2, 2, 3, 4, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 5, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 24, 11, 0, 0, 6, 24, 6, 5, 4, 3, 3, 5, 6, 6, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 7, 5, 4, 7, 12, 10, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 8, 8, 7, 6, 4, 4, 10, 0, 26, 7, 1, 24, 15, 6, 1, 3, 7, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 2, 6, 5, 0, 0, 1, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 8, 7, 6, 4, 1, 2, 4, 7, 6, 6, 6, 5, 5, 4, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 26, 0, 19, 13, 3, 2, 1, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 3, 2, 2, 3, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 7, 7, 7, 6, 6, 6, 5, 5, 6, 3, 2, 3, 5, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 6, 5, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 3, 3, 4, 7, 6, 4, 3, 3, 4, 6, 7, 8, 7, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 8, 7, 4, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 6, 6, 4, 4, 3, 2, 9, 6, 2, 2, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 6, 10, 13, 12, 7, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 2, 2, 4, 7, 7, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 7, 6, 6, 5, 5, 4, 0, 33, 0, 0, 15, 0, 9, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 1, 6, 7, 5, 4, 6, 6, 3, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 2, 2, 4, 11, 11, 3, 2, 7, 5, 0, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 12, 7, 7, 17, 30, 31, 18, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 5, 5, 6, 7, 7, 5, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 5, 7, 8, 8, 6, 4, 5, 5, 0, 2, 4, 4, 2, 2, 4, 6, 0, 8, 9, 4, 7, 17, 18, 12, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 7, 8, 8, 7, 5, 4, 8, 8, 6, 5, 4, 3, 2, 2, 10, 9, 9, 8, 7, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 4, 3, 4, 6, 8, 4, 3, 3, 2, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 4, 4, 3, 2, 2, 2, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 0, 5, 10, 0, 5, 17, 9, 23, 9, 2, 8, 15, 8, 5, 6, 1, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 7, 9, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 6, 6, 8, 9, 9, 9, 7, 5, 3, 2, 3, 5, 6, 3, 4, 5, 5, 3, 2, 4, 5, 3, 4, 6, 7, 7, 6, 4, 3, 2, 2, 3, 4, 6, 7, 8, 8, 10, 4, 0, 0, 5, 8, 8, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 2, 0, 3, 7, 5, 2, 2, 8, 6, 4, 3, 5, 5, 5, 4, 4, 3, 1, 1, 3, 6, 10, 12, 2, 11, 19, 18, 10, 3, 3, 7, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 5, 2, 2, 6, 6, 2, 2, 6, 4, 4, 4, 4, 4, 5, 7, 7, 6, 5, 4, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 12, 0, 14, 17, 0, 6, 10, 7, 5, 3, 3, 5, 6, 6, 5, 4, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 8, 8, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 8, 3, 2, 10, 7, 3, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 8, 4, 4, 10, 5, 1, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 3, 5, 7, 8, 7, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 7, 6, 5, 4, 4, 4, 4, 5, 8, 8, 7, 6, 5, 4, 4, 3, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 0, 13, 8, 0, 18, 57, 49, 11, 7, 6, 6, 5, 5, 6, 6, 7, 3, 7, 7, 3, 1, 3, 4, 2, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 8, 7, 5, 5, 2, 3, 4, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 9, 5, 2, 2, 5, 7, 5, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 7, 5, 3, 3, 5, 6, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 8, 7, 6, 6, 5, 4, 3, 3, 7, 1, 8, 2, 0, 8, 8, 1, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 3, 9, 7, 5, 4, 4, 5, 7, 9, 7, 3, 10, 25, 28, 16, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 10, 9, 8, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 9, 8, 13, 6, 7, 18, 0, 6, 6, 6, 5, 5, 4, 4, 4, 2, 2, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 10, 10, 8, 6, 4, 5, 5, 5, 6, 6, 7, 7, 8, 7, 7, 6, 5, 5, 4, 3, 3, 10, 8, 5, 4, 4, 4, 3, 1, 5, 5, 7, 8, 8, 7, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 6, 8, 9, 4, 4, 4, 3, 2, 2, 2, 2, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 7, 4, 3, 4, 8, 9, 8, 6, 11, 4, 15, 4, 127, 39, 3, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 3, 2, 5, 7, 5, 2, 1, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 3, 5, 7, 9, 3, 4, 5, 6, 5, 4, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 9, 8, 7, 6, 5, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 5, 5, 4, 4, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 5, 3, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 4, 3, 4, 7, 10, 10, 10, 9, 9, 9, 9, 10, 10, 7, 2, 17, 82, 0, 15, 0, 2, 3, 4, 5, 4, 2, 2, 4, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 4, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 1, 2, 4, 5, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 0, 29, 154, 90, 5, 0, 0, 1, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 5, 6, 7, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 7, 6, 6, 5, 5, 4, 13, 0, 4, 2, 0, 0, 3, 7, 6, 5, 4, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 8, 8, 6, 6, 7, 8, 6, 10, 4, 2, 8, 5, 1, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 0, 1, 8, 5, 0, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 3, 5, 7, 8, 7, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 8, 8, 7, 6, 6, 6, 6, 6, 9, 8, 8, 7, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 7, 4, 3, 21, 40, 31, 7, 6, 5, 4, 4, 4, 4, 5, 6, 3, 6, 6, 2, 2, 5, 5, 2, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 2, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 6, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 7, 5, 3, 3, 5, 6, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 7, 7, 6, 5, 4, 4, 3, 3, 1, 0, 4, 2, 0, 6, 5, 0, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 3, 7, 6, 5, 4, 4, 5, 6, 7, 5, 1, 4, 15, 17, 8, 3, 6, 5, 6, 6, 7, 7, 6, 6, 5, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 14, 4, 9, 40, 29, 0, 6, 14, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 2, 2, 3, 4, 3, 2, 4, 5, 6, 7, 7, 6, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 5, 4, 3, 3, 4, 5, 7, 8, 6, 5, 4, 4, 5, 5, 4, 3, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 4, 3, 4, 7, 8, 7, 5, 4, 4, 15, 3, 51, 10, 1, 2, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 6, 5, 5, 4, 2, 4, 6, 6, 4, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 10, 8, 6, 4, 3, 4, 5, 6, 4, 4, 5, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 6, 5, 4, 4, 5, 9, 8, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 5, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 2, 2, 2, 3, 6, 9, 11, 13, 7, 6, 6, 5, 5, 4, 4, 3, 4, 5, 7, 6, 4, 2, 3, 4, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 5, 4, 4, 6, 9, 6, 6, 6, 5, 5, 6, 6, 6, 12, 0, 7, 36, 0, 1, 6, 5, 5, 6, 6, 5, 5, 6, 7, 8, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 2, 3, 4, 5, 6, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 13, 29, 114, 68, 15, 14, 14, 11, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 6, 6, 6, 5, 5, 0, 8, 11, 12, 1, 12, 2, 1, 5, 5, 4, 3, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 8, 7, 6, 5, 6, 8, 2, 7, 2, 0, 5, 3, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 0, 2, 12, 9, 2, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 7, 8, 7, 5, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 7, 7, 6, 5, 5, 5, 5, 5, 9, 9, 8, 7, 7, 6, 6, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 8, 0, 0, 11, 21, 19, 10, 4, 5, 4, 3, 3, 3, 3, 4, 5, 5, 6, 4, 2, 5, 10, 8, 2, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 7, 7, 6, 6, 6, 5, 6, 6, 5, 5, 5, 5, 4, 4, 1, 3, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 6, 5, 4, 4, 6, 6, 5, 4, 7, 5, 3, 3, 5, 6, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 5, 4, 4, 3, 3, 5, 3, 4, 8, 6, 2, 2, 1, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 5, 1, 1, 7, 6, 0, 2, 9, 6, 6, 7, 8, 8, 7, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 27, 78, 65, 13, 2, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 4, 2, 1, 1, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 8, 8, 7, 7, 6, 5, 5, 4, 6, 5, 4, 4, 4, 5, 6, 6, 7, 5, 3, 4, 7, 8, 7, 4, 5, 5, 5, 4, 4, 3, 3, 2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 4, 5, 6, 5, 4, 5, 6, 14, 10, 0, 2, 11, 0, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 3, 5, 6, 5, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 13, 11, 9, 6, 4, 3, 3, 3, 5, 5, 5, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 8, 7, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 7, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 2, 1, 0, 1, 4, 8, 13, 16, 8, 8, 7, 6, 4, 3, 2, 2, 5, 7, 8, 7, 5, 4, 5, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 5, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 7, 7, 5, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 15, 0, 8, 0, 6, 0, 15, 8, 5, 4, 4, 5, 6, 7, 7, 6, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 2, 2, 3, 4, 4, 3, 3, 2, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 3, 6, 39, 17, 4, 5, 6, 0, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 0, 14, 3, 10, 0, 7, 0, 12, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 4, 4, 4, 3, 2, 2, 2, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 5, 3, 3, 4, 5, 0, 6, 2, 0, 3, 3, 1, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 2, 9, 22, 17, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 5, 4, 3, 2, 2, 2, 2, 3, 9, 8, 8, 8, 7, 7, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 0, 0, 10, 13, 6, 1, 2, 5, 5, 4, 4, 4, 4, 5, 5, 8, 7, 4, 3, 9, 14, 11, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 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5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 7, 4, 1, 3, 8, 10, 7, 4, 6, 5, 4, 4, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 8, 5, 8, 13, 0, 15, 18, 0, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 4, 3, 2, 5, 5, 5, 4, 2, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 13, 12, 9, 7, 5, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 7, 7, 6, 5, 4, 4, 4, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 7, 7, 7, 7, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 3, 3, 3, 5, 8, 9, 7, 6, 6, 5, 5, 4, 4, 3, 5, 6, 7, 6, 4, 4, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 8, 8, 6, 5, 5, 6, 4, 5, 5, 5, 5, 5, 5, 4, 7, 4, 14, 0, 18, 4, 14, 5, 3, 2, 1, 3, 5, 6, 4, 2, 8, 8, 7, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 6, 5, 5, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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5, 5, 4, 4, 4, 9, 7, 5, 5, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 8, 7, 5, 4, 3, 2, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 5, 3, 1, 3, 6, 8, 6, 4, 6, 6, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 3, 3, 13, 9, 7, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 8, 8, 7, 5, 4, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 9, 8, 7, 6, 6, 5, 5, 7, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 4, 3, 4, 6, 9, 6, 6, 5, 4, 4, 4, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 7, 7, 7, 7, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 4, 5, 5, 4, 3, 3, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 8, 8, 6, 5, 5, 6, 4, 4, 5, 6, 6, 5, 4, 4, 0, 8, 12, 0, 12, 4, 2, 1, 4, 4, 4, 5, 6, 5, 4, 2, 9, 9, 8, 7, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 1, 2, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 6, 9, 10, 8, 4, 2, 1, 12, 0, 5, 14, 5, 5, 7, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 4, 8, 2, 9, 22, 0, 10, 3, 4, 4, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 6, 7, 6, 5, 4, 5, 7, 12, 24, 19, 7, 7, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 5, 5, 12, 23, 16, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 5, 5, 4, 4, 4, 4, 3, 3, 7, 6, 6, 6, 5, 5, 5, 5, 7, 7, 6, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 3, 7, 7, 1, 0, 5, 7, 5, 7, 7, 6, 5, 5, 6, 7, 7, 9, 9, 7, 6, 9, 13, 11, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 7, 7, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 6, 6, 8, 7, 5, 3, 2, 5, 10, 13, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 7, 5, 3, 3, 5, 6, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 19, 42, 10, 4, 9, 0, 6, 8, 6, 6, 5, 5, 5, 5, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 1, 3, 5, 6, 5, 4, 4, 5, 2, 3, 4, 4, 4, 4, 3, 2, 4, 4, 3, 3, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 1, 0, 13, 11, 3, 9, 0, 4, 4, 5, 5, 5, 5, 6, 6, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 7, 9, 9, 7, 4, 2, 5, 5, 5, 5, 4, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 8, 6, 3, 3, 4, 5, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 4, 2, 2, 2, 3, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 5, 6, 5, 4, 3, 4, 5, 3, 7, 9, 0, 16, 0, 0, 16, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 10, 11, 12, 10, 9, 7, 3, 3, 3, 6, 10, 13, 13, 13, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6, 6, 8, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 7, 10, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 7, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 5, 6, 6, 6, 5, 4, 2, 2, 3, 4, 6, 7, 8, 8, 4, 5, 5, 3, 2, 3, 5, 8, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 6, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 6, 7, 2, 3, 5, 6, 6, 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3, 5, 5, 5, 4, 4, 3, 3, 3, 7, 7, 6, 6, 6, 5, 5, 5, 8, 8, 7, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 5, 5, 4, 4, 5, 6, 6, 6, 5, 4, 4, 5, 6, 6, 6, 8, 8, 5, 5, 8, 7, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 7, 6, 5, 4, 4, 5, 6, 7, 4, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 4, 3, 3, 5, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 8, 7, 7, 6, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 7, 5, 3, 3, 5, 6, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 24, 60, 21, 7, 11, 0, 5, 0, 7, 6, 6, 5, 5, 6, 6, 7, 5, 6, 6, 6, 6, 5, 4, 3, 7, 6, 5, 4, 4, 5, 6, 7, 3, 3, 3, 4, 6, 7, 5, 3, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 5, 5, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 23, 8, 0, 7, 2, 0, 13, 14, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 3, 5, 6, 6, 5, 7, 6, 5, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 4, 3, 3, 4, 5, 7, 2, 3, 5, 6, 7, 7, 6, 5, 4, 7, 9, 8, 4, 2, 4, 8, 7, 6, 4, 4, 5, 7, 9, 10, 7, 7, 7, 6, 6, 5, 5, 5, 5, 7, 8, 7, 4, 3, 4, 6, 6, 7, 12, 3, 8, 0, 3, 14, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 9, 11, 11, 10, 8, 7, 4, 3, 3, 5, 9, 12, 12, 10, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 8, 7, 6, 5, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 4, 8, 11, 5, 4, 4, 3, 3, 4, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 5, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 2, 2, 3, 3, 4, 5, 6, 7, 3, 4, 4, 5, 5, 6, 6, 7, 5, 6, 5, 4, 3, 4, 7, 10, 6, 6, 5, 5, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 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7, 7, 5, 4, 6, 9, 12, 5, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 8, 7, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 4, 3, 4, 7, 10, 7, 8, 10, 12, 12, 10, 8, 7, 10, 0, 9, 3, 12, 0, 10, 5, 6, 13, 19, 15, 6, 0, 1, 6, 2, 2, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 6, 7, 8, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 5, 7, 8, 8, 8, 8, 5, 5, 5, 6, 6, 7, 7, 7, 9, 8, 6, 5, 4, 5, 5, 6, 7, 7, 6, 5, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 6, 8, 9, 5, 0, 2, 6, 0, 17, 3, 8, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 3, 3, 2, 4, 7, 10, 136, 44, 19, 2, 5, 2, 3, 5, 6, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 6, 7, 8, 8, 2, 5, 7, 7, 6, 4, 4, 5, 8, 6, 5, 5, 5, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 8, 8, 8, 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4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 8, 11, 12, 7, 5, 6, 5, 3, 6, 6, 5, 4, 3, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 3, 2, 2, 3, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 4, 5, 6, 7, 7, 2, 3, 3, 4, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 5, 6, 8, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 6, 8, 7, 5, 5, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 4, 3, 3, 4, 5, 7, 9, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 1, 6, 12, 15, 13, 9, 6, 4, 6, 5, 3, 3, 4, 5, 3, 2, 5, 5, 6, 6, 6, 5, 4, 3, 7, 7, 6, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 13, 12, 8, 6, 8, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 0, 19, 0, 2, 11, 0, 10, 2, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 7, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 0, 18, 0, 5, 9, 6, 0, 6, 4, 2, 3, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 2, 3, 6, 5, 0, 1, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 3, 3, 5, 8, 7, 5, 4, 4, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 8, 8, 7, 6, 5, 4, 4, 5, 5, 5, 6, 6, 6, 7, 9, 4, 4, 8, 8, 5, 4, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 7, 6, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 3, 3, 3, 4, 5, 6, 7, 8, 4, 6, 8, 7, 6, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 6, 7, 8, 5, 7, 8, 5, 3, 4, 10, 16, 9, 6, 3, 3, 5, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 15, 20, 10, 1, 2, 5, 4, 4, 17, 22, 12, 4, 6, 7, 4, 7, 6, 4, 3, 3, 4, 6, 7, 2, 5, 7, 5, 3, 5, 13, 20, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 6, 6, 5, 5, 5, 5, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 5, 7, 7, 6, 5, 5, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 6, 8, 6, 4, 2, 4, 6, 5, 4, 4, 4, 4, 4, 4, 5, 3, 4, 6, 7, 7, 7, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 8, 6, 4, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 4, 1, 2, 6, 10, 28, 16, 5, 2, 4, 4, 5, 7, 5, 5, 4, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 10, 12, 14, 11, 3, 1, 12, 25, 7, 7, 6, 5, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 3, 3, 3, 2, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 3, 3, 4, 5, 6, 7, 2, 3, 4, 4, 4, 3, 2, 1, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 4, 3, 2, 3, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 4, 6, 7, 6, 4, 4, 5, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 4, 3, 5, 4, 3, 2, 3, 5, 8, 9, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 6, 9, 10, 9, 6, 5, 5, 7, 5, 3, 4, 6, 6, 4, 2, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 10, 10, 6, 5, 7, 6, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 15, 50, 6, 0, 13, 1, 7, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 0, 19, 6, 6, 21, 12, 5, 7, 5, 2, 3, 6, 8, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 11, 11, 9, 6, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 3, 3, 5, 8, 8, 6, 5, 5, 5, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 7, 6, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 5, 7, 9, 5, 0, 0, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 5, 3, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 4, 4, 3, 3, 4, 4, 4, 5, 6, 7, 8, 9, 4, 6, 8, 8, 6, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 7, 6, 5, 5, 5, 5, 6, 6, 5, 4, 5, 6, 8, 9, 3, 4, 4, 2, 2, 8, 20, 30, 10, 6, 3, 2, 5, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 18, 25, 12, 0, 1, 5, 5, 0, 7, 11, 5, 3, 8, 8, 2, 8, 6, 4, 2, 2, 4, 6, 8, 5, 5, 4, 3, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 5, 4, 3, 3, 4, 5, 6, 6, 5, 4, 5, 6, 8, 9, 7, 6, 6, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 7, 8, 8, 7, 7, 6, 6, 4, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 6, 8, 7, 3, 2, 4, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 7, 8, 9, 8, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 7, 7, 8, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 4, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 3, 1, 2, 7, 12, 57, 34, 10, 3, 6, 7, 5, 3, 5, 5, 5, 5, 6, 7, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 2, 2, 4, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 4, 5, 7, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 10, 15, 13, 2, 0, 21, 49, 8, 7, 6, 6, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 2, 2, 1, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 3, 3, 3, 4, 5, 6, 5, 5, 6, 7, 6, 5, 3, 2, 7, 6, 6, 5, 5, 4, 4, 3, 4, 5, 5, 4, 3, 4, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 2, 3, 3, 2, 1, 1, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 5, 5, 3, 3, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 3, 3, 5, 4, 3, 2, 3, 5, 8, 10, 3, 4, 4, 5, 5, 4, 4, 3, 8, 7, 7, 6, 6, 5, 5, 5, 7, 6, 4, 2, 2, 2, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 5, 4, 3, 5, 7, 8, 6, 3, 4, 6, 7, 5, 2, 6, 6, 6, 6, 6, 5, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 4, 3, 6, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 35, 79, 19, 0, 15, 1, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 1, 1, 3, 5, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 4, 13, 4, 9, 0, 15, 8, 5, 2, 3, 6, 9, 8, 7, 4, 4, 4, 4, 4, 4, 4, 4, 12, 16, 11, 0, 0, 5, 11, 9, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 6, 5, 5, 1, 4, 6, 6, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 8, 7, 5, 4, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 7, 7, 7, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 4, 5, 7, 8, 8, 7, 5, 5, 4, 3, 2, 3, 6, 11, 16, 19, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 6, 8, 7, 5, 4, 7, 9, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 7, 6, 6, 7, 8, 8, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 0, 9, 14, 7, 7, 16, 2, 5, 4, 3, 3, 5, 5, 4, 3, 2, 4, 5, 5, 5, 5, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 6, 4, 4, 3, 3, 4, 6, 8, 10, 10, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 7, 9, 9, 8, 5, 6, 6, 7, 7, 6, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 9, 6, 5, 6, 5, 2, 5, 11, 5, 5, 5, 5, 5, 5, 5, 5, 8, 9, 8, 5, 3, 7, 17, 25, 246, 40, 21, 11, 1, 6, 0, 4, 6, 6, 6, 6, 6, 6, 4, 3, 9, 11, 5, 3, 6, 0, 0, 6, 9, 4, 1, 2, 3, 4, 9, 15, 5, 7, 9, 8, 5, 2, 1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 5, 3, 3, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 6, 6, 6, 7, 7, 7, 3, 3, 3, 3, 4, 5, 6, 7, 6, 9, 7, 3, 2, 5, 5, 2, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 7, 8, 8, 7, 5, 4, 11, 4, 4, 3, 2, 10, 12, 0, 2, 4, 6, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 5, 2, 3, 2, 3, 2, 0, 2, 15, 29, 39, 12, 17, 6, 0, 6, 4, 14, 5, 5, 5, 6, 6, 7, 7, 7, 4, 3, 2, 3, 5, 6, 5, 4, 6, 5, 4, 4, 4, 5, 6, 6, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 6, 5, 5, 5, 5, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 3, 5, 10, 11, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 6, 6, 6, 8, 8, 7, 8, 7, 6, 6, 6, 5, 3, 0, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 7, 7, 6, 6, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 3, 2, 2, 4, 5, 6, 4, 2, 0, 0, 1, 6, 6, 6, 6, 6, 6, 6, 6, 8, 1, 4, 6, 1, 4, 10, 4, 4, 5, 6, 5, 3, 2, 3, 4, 12, 12, 11, 9, 7, 6, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 7, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 3, 4, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 5, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 7, 6, 5, 4, 6, 8, 8, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 6, 4, 5, 6, 6, 4, 4, 5, 6, 3, 3, 3, 3, 4, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 7, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 6, 8, 9, 10, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 1, 3, 5, 5, 3, 2, 4, 7, 4, 4, 6, 6, 6, 6, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 6, 5, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 8, 0, 10, 23, 0, 5, 16, 5, 5, 4, 3, 3, 5, 5, 4, 3, 3, 5, 6, 6, 4, 4, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 5, 5, 4, 3, 3, 4, 5, 6, 8, 8, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 6, 7, 8, 7, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 3, 6, 5, 0, 0, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 7, 5, 3, 4, 10, 16, 48, 0, 15, 1, 0, 9, 4, 14, 3, 3, 3, 4, 4, 4, 5, 5, 0, 4, 6, 9, 8, 3, 26, 69, 5, 2, 3, 7, 8, 5, 5, 8, 9, 5, 0, 1, 4, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 3, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 4, 5, 5, 5, 6, 6, 6, 7, 4, 4, 4, 3, 3, 3, 3, 3, 5, 8, 7, 4, 5, 9, 10, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 6, 5, 5, 6, 7, 7, 6, 5, 5, 5, 0, 4, 10, 6, 7, 11, 6, 2, 4, 6, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 5, 2, 3, 3, 4, 5, 3, 4, 15, 28, 254, 45, 0, 10, 13, 20, 0, 5, 5, 5, 5, 6, 6, 6, 7, 7, 5, 3, 3, 4, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 4, 1, 3, 8, 8, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 5, 2, 0, 1, 2, 3, 6, 5, 4, 5, 6, 6, 5, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 4, 2, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 2, 12, 14, 3, 1, 6, 4, 4, 5, 6, 5, 3, 2, 3, 4, 8, 8, 7, 6, 5, 4, 3, 2, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 4, 4, 4, 4, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 7, 8, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 7, 7, 8, 7, 7, 6, 6, 8, 9, 9, 7, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 2, 2, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 5, 6, 7, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 2, 3, 4, 7, 8, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 3, 4, 5, 7, 4, 5, 5, 6, 5, 4, 2, 1, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 2, 3, 5, 4, 3, 3, 4, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 5, 8, 20, 5, 15, 52, 42, 2, 0, 6, 4, 3, 4, 5, 6, 5, 3, 4, 6, 7, 6, 4, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 3, 5, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 9, 14, 13, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 7, 7, 5, 4, 5, 8, 1, 12, 24, 0, 14, 16, 0, 2, 2, 3, 4, 4, 4, 4, 5, 6, 5, 2, 2, 9, 5, 0, 24, 76, 8, 5, 5, 8, 9, 6, 6, 9, 35, 21, 6, 2, 6, 10, 8, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 6, 4, 2, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 4, 5, 5, 5, 6, 5, 6, 6, 6, 6, 4, 2, 1, 5, 7, 7, 4, 4, 8, 8, 6, 4, 5, 7, 8, 8, 7, 5, 4, 6, 5, 4, 3, 3, 5, 6, 7, 5, 5, 6, 6, 6, 6, 5, 5, 3, 0, 7, 14, 6, 3, 7, 6, 2, 4, 6, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 4, 4, 6, 8, 6, 5, 13, 24, 59, 9, 22, 10, 0, 7, 5, 10, 5, 5, 5, 5, 6, 6, 6, 7, 6, 4, 4, 4, 6, 7, 7, 5, 4, 5, 6, 7, 7, 6, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 4, 6, 6, 3, 2, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 1, 1, 5, 6, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 4, 4, 6, 8, 5, 4, 3, 4, 6, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 6, 6, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 2, 3, 3, 4, 5, 6, 6, 7, 3, 4, 5, 4, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 0, 8, 25, 27, 10, 4, 9, 8, 4, 6, 6, 5, 3, 2, 3, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 7, 9, 10, 9, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 7, 6, 8, 9, 9, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 2, 2, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 4, 5, 6, 6, 4, 4, 5, 6, 11, 10, 8, 7, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 5, 6, 7, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 4, 2, 1, 2, 5, 6, 5, 6, 6, 5, 4, 2, 0, 0, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 12, 0, 20, 41, 58, 28, 31, 26, 6, 5, 3, 4, 6, 6, 5, 4, 5, 7, 7, 6, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 4, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 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7, 8, 6, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 7, 2, 36, 0, 2, 13, 3, 10, 4, 3, 3, 5, 8, 7, 3, 0, 8, 6, 5, 6, 6, 5, 3, 1, 3, 4, 5, 6, 6, 6, 6, 5, 8, 6, 8, 13, 14, 9, 5, 4, 3, 4, 0, 10, 14, 10, 25, 26, 5, 9, 10, 6, 6, 9, 8, 4, 3, 4, 6, 7, 8, 8, 7, 6, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 8, 6, 11, 7, 0, 13, 23, 9, 16, 10, 5, 5, 8, 10, 8, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 1, 1, 2, 4, 3, 2, 2, 4, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 5, 7, 8, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 8, 7, 5, 4, 4, 5, 7, 8, 4, 7, 9, 10, 9, 7, 5, 5, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 5, 5, 4, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 14, 1, 6, 10, 0, 10, 11, 0, 10, 9, 8, 7, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 9, 12, 13, 10, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 7, 7, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 6, 7, 7, 6, 5, 6, 9, 11, 4, 4, 5, 5, 5, 5, 4, 4, 9, 5, 4, 7, 7, 3, 3, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 4, 5, 6, 7, 7, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 6, 7, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 4, 3, 5, 7, 8, 7, 4, 3, 4, 6, 6, 5, 3, 3, 5, 5, 3, 2, 3, 5, 7, 7, 5, 4, 4, 5, 3, 3, 4, 4, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 6, 7, 7, 7, 7, 5, 5, 3, 3, 3, 3, 5, 5, 2, 4, 7, 8, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 3, 3, 4, 6, 7, 9, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 6, 7, 5, 4, 4, 5, 6, 5, 5, 5, 11, 10, 9, 9, 10, 10, 9, 7, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 6, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 6, 6, 4, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 6, 5, 4, 3, 8, 5, 13, 11, 0, 10, 25, 2, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 5, 5, 1, 0, 0, 13, 24, 21, 12, 4, 5, 5, 6, 7, 7, 8, 8, 4, 6, 7, 8, 8, 6, 4, 3, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 8, 7, 6, 5, 4, 3, 3, 5, 7, 7, 5, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 0, 55, 146, 30, 17, 0, 18, 1, 5, 3, 3, 5, 7, 7, 5, 2, 6, 4, 3, 3, 4, 4, 3, 1, 3, 4, 5, 6, 6, 6, 6, 5, 2, 0, 3, 9, 10, 6, 3, 4, 1, 11, 8, 9, 12, 34, 62, 45, 32, 23, 12, 5, 5, 5, 4, 3, 3, 4, 6, 7, 8, 7, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 15, 0, 0, 9, 25, 9, 10, 45, 23, 16, 8, 4, 5, 6, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 5, 3, 3, 4, 6, 13, 8, 4, 2, 4, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 2, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 5, 4, 5, 7, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 7, 9, 9, 8, 7, 6, 6, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 4, 4, 4, 2, 3, 4, 4, 3, 3, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 21, 0, 11, 26, 0, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 11, 11, 8, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 7, 7, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 3, 3, 3, 3, 4, 4, 11, 7, 4, 4, 3, 1, 3, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 7, 7, 7, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 6, 6, 5, 4, 5, 6, 5, 4, 3, 4, 5, 6, 4, 3, 3, 5, 5, 4, 2, 3, 5, 7, 7, 5, 4, 4, 5, 3, 3, 4, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 7, 9, 9, 8, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 2, 5, 7, 8, 6, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 6, 7, 8, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 6, 6, 6, 5, 5, 6, 7, 6, 5, 4, 5, 6, 4, 5, 7, 6, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 8, 8, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 6, 6, 4, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 8, 0, 0, 5, 10, 9, 0, 21, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 9, 4, 0, 0, 21, 43, 39, 20, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 7, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 3, 5, 6, 5, 4, 5, 7, 9, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 0, 14, 54, 12, 13, 17, 9, 3, 6, 4, 3, 4, 6, 8, 7, 7, 8, 5, 3, 2, 3, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 6, 4, 6, 10, 10, 6, 4, 6, 9, 17, 8, 0, 23, 115, 202, 195, 67, 41, 15, 7, 6, 3, 2, 5, 4, 5, 6, 7, 8, 7, 6, 5, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 0, 18, 13, 7, 0, 0, 60, 196, 24, 17, 8, 3, 3, 4, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 4, 3, 5, 6, 23, 15, 5, 1, 3, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 2, 1, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 5, 4, 5, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 4, 4, 4, 1, 3, 4, 4, 2, 2, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 16, 5, 21, 4, 25, 10, 0, 14, 2, 2, 3, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 9, 8, 6, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 6, 9, 11, 6, 4, 2, 4, 6, 7, 4, 1, 6, 5, 4, 3, 3, 4, 5, 6, 5, 4, 3, 3, 4, 4, 6, 8, 6, 6, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 5, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 5, 6, 7, 8, 9, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 3, 4, 4, 5, 4, 3, 3, 5, 5, 4, 3, 3, 5, 7, 7, 5, 4, 4, 5, 3, 4, 5, 6, 6, 6, 4, 4, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 5, 4, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 3, 2, 2, 3, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 5, 6, 6, 7, 2, 3, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 4, 3, 7, 8, 5, 3, 4, 5, 5, 0, 1, 3, 3, 1, 3, 7, 11, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 15, 30, 17, 1, 7, 21, 0, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 7, 10, 6, 1, 17, 39, 36, 16, 5, 5, 5, 4, 4, 3, 3, 3, 2, 3, 5, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 4, 4, 5, 8, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 22, 0, 0, 11, 4, 0, 0, 24, 6, 5, 3, 3, 5, 7, 9, 11, 13, 10, 6, 4, 5, 6, 6, 6, 3, 4, 5, 6, 6, 6, 6, 5, 12, 9, 9, 10, 8, 3, 2, 6, 0, 8, 15, 21, 50, 157, 255, 243, 84, 48, 16, 9, 10, 5, 4, 8, 4, 5, 7, 8, 8, 7, 6, 5, 1, 3, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 0, 3, 25, 9, 0, 10, 13, 9, 5, 3, 4, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 2, 1, 3, 5, 24, 15, 5, 2, 4, 6, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 2, 3, 5, 6, 6, 5, 3, 2, 4, 3, 1, 1, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 2, 4, 6, 5, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 3, 0, 14, 6, 0, 19, 2, 0, 1, 3, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 6, 5, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 4, 5, 7, 11, 13, 8, 5, 3, 7, 12, 13, 9, 4, 7, 6, 5, 4, 4, 5, 6, 7, 2, 4, 5, 6, 6, 7, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 9, 7, 5, 4, 5, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 6, 7, 9, 10, 6, 5, 5, 4, 4, 5, 5, 6, 10, 10, 8, 7, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 6, 4, 4, 3, 4, 4, 4, 4, 4, 5, 3, 2, 3, 5, 6, 5, 3, 3, 5, 7, 7, 5, 4, 4, 5, 4, 5, 6, 7, 7, 6, 4, 3, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 6, 5, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 6, 6, 5, 2, 3, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 4, 2, 7, 8, 3, 2, 6, 6, 3, 4, 5, 6, 5, 5, 8, 16, 22, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 17, 0, 0, 26, 0, 9, 5, 10, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 0, 16, 19, 7, 6, 16, 15, 2, 6, 5, 5, 4, 3, 3, 2, 2, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 2, 2, 3, 4, 5, 5, 6, 4, 5, 5, 5, 4, 6, 9, 12, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 4, 33, 0, 20, 0, 12, 10, 6, 5, 4, 3, 4, 6, 9, 12, 16, 12, 8, 5, 5, 5, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 8, 6, 5, 6, 3, 0, 1, 7, 16, 5, 2, 12, 41, 146, 255, 255, 70, 37, 10, 7, 11, 7, 4, 8, 5, 6, 7, 8, 8, 7, 5, 4, 2, 3, 5, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 9, 5, 0, 6, 17, 18, 3, 3, 3, 4, 6, 6, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 2, 2, 3, 5, 15, 10, 4, 4, 6, 7, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 6, 6, 7, 7, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 7, 7, 7, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 2, 3, 5, 6, 6, 5, 3, 2, 6, 3, 1, 2, 5, 7, 6, 5, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 5, 6, 6, 4, 6, 8, 8, 6, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 12, 4, 4, 1, 21, 23, 8, 2, 3, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 5, 4, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 5, 8, 10, 12, 7, 4, 3, 8, 14, 16, 12, 8, 7, 7, 6, 6, 6, 6, 7, 7, 3, 7, 9, 7, 7, 8, 6, 2, 7, 7, 6, 5, 5, 4, 3, 3, 5, 8, 10, 8, 5, 3, 5, 8, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 7, 8, 9, 6, 5, 5, 4, 4, 5, 5, 6, 12, 12, 10, 9, 7, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 4, 5, 6, 5, 4, 3, 4, 5, 6, 5, 4, 4, 3, 2, 3, 5, 6, 5, 4, 3, 5, 7, 7, 5, 4, 4, 5, 4, 5, 7, 8, 8, 6, 4, 2, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 3, 1, 1, 2, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 6, 6, 6, 5, 3, 7, 6, 2, 4, 11, 10, 3, 8, 7, 5, 4, 4, 7, 12, 16, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 10, 33, 2, 20, 8, 12, 3, 14, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 3, 22, 30, 17, 4, 3, 5, 1, 5, 5, 5, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 4, 5, 6, 6, 4, 6, 7, 6, 5, 6, 8, 10, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 0, 1, 0, 11, 17, 16, 0, 5, 5, 5, 3, 3, 4, 8, 11, 12, 9, 5, 3, 3, 2, 1, 0, 3, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 4, 4, 10, 19, 10, 4, 7, 20, 19, 47, 89, 76, 40, 19, 3, 3, 8, 6, 4, 5, 5, 6, 7, 8, 7, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 11, 0, 2, 10, 0, 1, 7, 0, 1, 3, 5, 7, 6, 4, 1, 0, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 8, 7, 5, 4, 6, 8, 6, 5, 5, 6, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 7, 7, 8, 8, 2, 3, 4, 5, 5, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 7, 7, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 6, 5, 4, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 8, 6, 4, 6, 10, 12, 10, 7, 4, 4, 4, 4, 5, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 5, 6, 7, 5, 7, 9, 9, 8, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 11, 12, 0, 20, 23, 0, 17, 6, 6, 5, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 7, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 3, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 9, 4, 3, 2, 5, 9, 12, 10, 8, 5, 5, 6, 6, 6, 6, 5, 5, 4, 8, 9, 6, 6, 10, 10, 6, 7, 7, 6, 5, 5, 4, 3, 3, 5, 8, 11, 9, 5, 3, 5, 9, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 3, 4, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 3, 5, 7, 8, 6, 4, 3, 4, 7, 8, 7, 5, 4, 3, 2, 3, 5, 6, 5, 4, 3, 5, 7, 7, 5, 4, 4, 5, 4, 6, 8, 9, 9, 6, 4, 2, 6, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 4, 4, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 3, 3, 4, 5, 6, 5, 4, 3, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 6, 6, 5, 4, 3, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 6, 7, 6, 8, 5, 1, 8, 18, 15, 4, 4, 3, 1, 1, 3, 3, 3, 2, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 5, 5, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 7, 8, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 4, 3, 3, 4, 5, 6, 13, 140, 54, 0, 3, 35, 10, 0, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 4, 3, 4, 5, 5, 8, 19, 26, 19, 8, 4, 6, 8, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 7, 8, 8, 7, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 13, 17, 0, 21, 0, 1, 0, 15, 4, 5, 6, 4, 2, 2, 5, 8, 7, 5, 3, 3, 4, 4, 2, 0, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 5, 7, 7, 9, 18, 29, 13, 9, 0, 5, 2, 9, 34, 28, 15, 9, 4, 3, 5, 7, 6, 4, 6, 6, 7, 8, 7, 6, 4, 3, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 4, 5, 8, 6, 6, 11, 4, 5, 7, 8, 6, 4, 2, 0, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 9, 9, 7, 5, 5, 6, 8, 2, 5, 7, 7, 5, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 4, 5, 6, 7, 7, 7, 2, 3, 4, 5, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 7, 7, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 5, 6, 5, 3, 2, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 6, 6, 7, 5, 4, 7, 12, 13, 10, 6, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 5, 4, 4, 5, 7, 8, 4, 7, 9, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 18, 0, 0, 0, 16, 6, 65, 26, 9, 7, 5, 3, 3, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 6, 4, 4, 7, 10, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 3, 3, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 2, 3, 5, 6, 6, 5, 3, 2, 2, 6, 6, 3, 5, 13, 16, 14, 7, 7, 6, 6, 4, 4, 3, 3, 5, 9, 11, 9, 5, 3, 5, 9, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 3, 3, 3, 3, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 4, 6, 8, 10, 7, 4, 3, 4, 8, 9, 8, 6, 4, 3, 2, 3, 5, 6, 5, 4, 3, 5, 7, 7, 5, 4, 4, 5, 4, 6, 8, 10, 9, 7, 3, 1, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 7, 7, 7, 5, 3, 1, 2, 3, 5, 6, 6, 5, 3, 2, 5, 6, 6, 5, 3, 3, 5, 7, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 7, 8, 8, 7, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 7, 7, 5, 4, 3, 8, 7, 5, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 4, 5, 7, 8, 8, 9, 5, 2, 11, 23, 19, 5, 2, 1, 1, 4, 8, 7, 3, 0, 8, 6, 4, 2, 2, 4, 6, 8, 6, 6, 6, 6, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 1, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 8, 8, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 3, 2, 2, 3, 5, 5, 11, 70, 0, 19, 6, 0, 8, 20, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 4, 3, 4, 4, 5, 5, 7, 10, 9, 7, 5, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 3, 3, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 7, 9, 10, 8, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 0, 1, 1, 17, 5, 13, 3, 3, 5, 6, 5, 2, 1, 3, 6, 4, 3, 3, 5, 7, 7, 6, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 3, 5, 15, 26, 0, 7, 2, 9, 10, 6, 14, 4, 5, 8, 8, 5, 6, 10, 10, 6, 6, 7, 8, 8, 7, 6, 4, 3, 10, 8, 6, 4, 3, 3, 3, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 0, 30, 17, 0, 9, 7, 0, 6, 5, 6, 7, 7, 6, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 5, 3, 3, 4, 6, 2, 6, 9, 7, 4, 2, 6, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 2, 3, 3, 4, 5, 6, 6, 1, 2, 4, 5, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 5, 3, 2, 3, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 8, 7, 5, 4, 4, 5, 7, 8, 3, 1, 1, 5, 10, 11, 7, 2, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 5, 4, 4, 5, 7, 8, 3, 6, 8, 8, 6, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 9, 10, 9, 45, 255, 63, 11, 8, 4, 1, 1, 3, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 7, 6, 5, 5, 8, 12, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 3, 3, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 3, 2, 8, 8, 7, 4, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 6, 5, 3, 2, 2, 3, 5, 6, 2, 6, 10, 8, 3, 1, 3, 6, 5, 4, 3, 2, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 7, 4, 3, 6, 9, 10, 11, 12, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 4, 2, 4, 8, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 4, 4, 5, 7, 8, 4, 7, 10, 9, 5, 3, 4, 6, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 6, 7, 8, 7, 6, 5, 3, 4, 5, 5, 4, 4, 6, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 2, 3, 5, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 5, 6, 7, 6, 5, 4, 3, 1, 1, 1, 1, 6, 4, 2, 2, 3, 5, 6, 5, 13, 11, 7, 4, 1, 1, 1, 1, 3, 4, 5, 6, 6, 6, 6, 5, 0, 15, 13, 0, 4, 0, 0, 8, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 3, 5, 7, 9, 10, 7, 6, 4, 3, 3, 4, 6, 7, 4, 6, 7, 6, 3, 2, 5, 7, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 4, 6, 6, 7, 7, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 6, 4, 4, 3, 3, 6, 5, 4, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 7, 6, 6, 5, 7, 9, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 7, 7, 6, 6, 0, 1, 10, 12, 6, 6, 14, 13, 2, 0, 1, 6, 6, 6, 9, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 14, 10, 5, 2, 2, 4, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 11, 12, 10, 6, 4, 2, 5, 5, 4, 4, 4, 5, 6, 6, 3, 5, 6, 5, 4, 3, 2, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 5, 6, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 3, 2, 2, 2, 2, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 6, 7, 6, 4, 7, 6, 4, 3, 3, 4, 6, 7, 2, 2, 3, 4, 4, 3, 2, 2, 5, 3, 5, 9, 7, 2, 2, 8, 4, 4, 5, 6, 7, 7, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 1, 2, 5, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 8, 5, 3, 3, 5, 7, 8, 9, 6, 5, 5, 4, 4, 5, 5, 6, 10, 8, 5, 3, 6, 9, 7, 2, 7, 5, 4, 4, 6, 6, 5, 3, 7, 6, 4, 3, 3, 4, 6, 7, 8, 6, 4, 5, 7, 8, 7, 4, 5, 7, 9, 8, 6, 4, 4, 5, 2, 6, 10, 10, 7, 5, 4, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 19, 0, 16, 2, 31, 110, 49, 10, 8, 5, 3, 2, 3, 4, 5, 6, 7, 7, 8, 8, 7, 7, 6, 0, 2, 4, 5, 4, 4, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 7, 7, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 3, 3, 4, 5, 5, 2, 6, 9, 8, 4, 1, 3, 6, 4, 4, 3, 2, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 5, 6, 6, 7, 7, 8, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 6, 8, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 5, 6, 6, 4, 5, 6, 7, 7, 6, 5, 4, 1, 6, 7, 4, 3, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 5, 5, 6, 7, 5, 7, 8, 8, 6, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 7, 7, 7, 6, 6, 11, 12, 11, 8, 4, 3, 3, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 3, 2, 3, 4, 5, 4, 2, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 6, 7, 7, 8, 7, 6, 4, 3, 3, 3, 3, 5, 3, 2, 2, 5, 7, 7, 7, 10, 8, 6, 3, 2, 3, 4, 5, 3, 4, 5, 6, 6, 6, 6, 5, 9, 3, 0, 14, 6, 12, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 5, 6, 7, 7, 8, 5, 5, 4, 4, 4, 4, 5, 5, 4, 6, 7, 5, 3, 3, 5, 7, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 5, 5, 4, 3, 3, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 7, 5, 5, 7, 8, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 8, 6, 6, 3, 0, 0, 27, 60, 30, 18, 7, 5, 4, 1, 0, 2, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 7, 7, 7, 7, 6, 5, 22, 17, 11, 8, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 9, 10, 9, 6, 5, 5, 7, 7, 7, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 5, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 2, 3, 3, 3, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 4, 2, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 5, 6, 6, 5, 4, 4, 5, 2, 3, 7, 7, 3, 3, 8, 3, 3, 3, 4, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 9, 8, 4, 3, 6, 7, 4, 2, 2, 3, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 5, 5, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 1, 0, 0, 0, 3, 7, 8, 7, 8, 6, 5, 6, 8, 9, 8, 6, 6, 6, 4, 4, 4, 4, 6, 6, 8, 5, 4, 5, 7, 8, 6, 4, 5, 5, 6, 6, 5, 4, 3, 3, 2, 5, 8, 8, 6, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 8, 12, 0, 17, 1, 3, 48, 5, 9, 8, 5, 3, 2, 3, 4, 5, 6, 7, 7, 8, 8, 7, 7, 6, 6, 6, 6, 5, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 3, 6, 9, 8, 4, 2, 3, 5, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 5, 4, 4, 3, 7, 6, 6, 5, 5, 4, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 6, 5, 4, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 3, 3, 4, 5, 6, 7, 8, 9, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 4, 1, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 6, 7, 7, 4, 5, 7, 9, 9, 7, 5, 4, 0, 7, 10, 5, 1, 2, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 7, 6, 5, 6, 7, 7, 5, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 7, 7, 6, 6, 12, 12, 11, 8, 4, 2, 2, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 3, 2, 3, 4, 5, 4, 2, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 7, 8, 9, 9, 7, 6, 5, 5, 5, 6, 5, 3, 2, 3, 6, 8, 8, 7, 6, 5, 4, 3, 3, 5, 7, 8, 3, 4, 5, 6, 6, 6, 6, 5, 19, 0, 0, 18, 0, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 6, 5, 3, 3, 5, 7, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 5, 5, 6, 8, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 4, 6, 7, 3, 7, 13, 9, 0, 0, 17, 45, 26, 16, 6, 3, 4, 4, 5, 8, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 8, 8, 7, 6, 6, 16, 12, 8, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 6, 6, 6, 5, 6, 7, 8, 8, 9, 9, 7, 5, 3, 2, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 5, 4, 3, 4, 4, 4, 8, 7, 6, 6, 6, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 3, 4, 4, 2, 0, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6, 2, 1, 4, 6, 5, 5, 7, 2, 2, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 11, 10, 6, 5, 8, 8, 5, 0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 6, 4, 2, 1, 6, 5, 5, 4, 4, 5, 5, 6, 9, 7, 5, 4, 4, 4, 5, 6, 6, 5, 4, 6, 8, 9, 8, 7, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 4, 5, 6, 7, 6, 4, 6, 4, 3, 3, 4, 4, 3, 2, 3, 5, 6, 5, 4, 3, 4, 6, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 8, 1, 0, 16, 8, 0, 7, 0, 9, 7, 5, 4, 3, 3, 4, 5, 6, 6, 7, 7, 7, 7, 6, 6, 12, 9, 6, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 4, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 4, 4, 5, 5, 5, 4, 6, 8, 7, 5, 3, 3, 5, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 7, 6, 5, 4, 4, 8, 7, 6, 6, 4, 4, 3, 2, 6, 6, 7, 7, 7, 7, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 5, 6, 7, 7, 4, 4, 4, 5, 6, 6, 6, 7, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 3, 6, 10, 10, 8, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 4, 6, 8, 10, 10, 8, 6, 4, 4, 8, 8, 4, 2, 3, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 6, 7, 5, 3, 5, 8, 8, 5, 2, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 4, 5, 5, 4, 2, 2, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 4, 4, 6, 7, 6, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 6, 6, 7, 7, 9, 8, 7, 6, 6, 6, 6, 6, 5, 4, 2, 3, 5, 6, 5, 4, 5, 4, 4, 4, 4, 5, 7, 8, 3, 4, 5, 6, 6, 6, 6, 5, 7, 7, 10, 16, 4, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 8, 7, 6, 4, 2, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 4, 4, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 6, 7, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 2, 3, 5, 7, 9, 5, 4, 6, 11, 9, 3, 1, 4, 11, 5, 1, 0, 3, 6, 9, 11, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 1, 0, 1, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 6, 7, 6, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 4, 3, 3, 5, 7, 6, 7, 9, 10, 9, 7, 5, 3, 3, 2, 1, 2, 3, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 8, 8, 5, 3, 4, 5, 6, 6, 7, 7, 6, 6, 5, 7, 6, 5, 5, 4, 4, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 4, 4, 4, 2, 0, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 8, 7, 6, 6, 7, 3, 1, 2, 5, 6, 6, 6, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 9, 9, 5, 6, 9, 10, 8, 3, 3, 3, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 10, 8, 8, 9, 7, 4, 3, 5, 3, 2, 1, 3, 5, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 5, 5, 7, 5, 3, 4, 5, 6, 4, 2, 4, 4, 4, 3, 3, 3, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 0, 1, 7, 13, 7, 1, 12, 7, 7, 5, 4, 4, 4, 4, 5, 5, 6, 7, 7, 7, 7, 6, 5, 12, 9, 5, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 5, 3, 3, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 6, 6, 5, 5, 5, 4, 6, 7, 7, 5, 4, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 7, 6, 5, 4, 4, 8, 7, 6, 6, 4, 4, 3, 2, 5, 6, 6, 7, 7, 6, 6, 5, 7, 6, 5, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 6, 7, 8, 8, 6, 6, 6, 5, 4, 4, 4, 3, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 1, 6, 15, 20, 18, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 8, 9, 9, 8, 6, 5, 9, 8, 5, 4, 8, 13, 10, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 6, 4, 2, 4, 7, 8, 5, 2, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 1, 2, 3, 3, 3, 3, 6, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 6, 6, 8, 8, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 5, 6, 6, 7, 6, 6, 5, 4, 5, 5, 6, 6, 4, 3, 3, 4, 4, 2, 0, 6, 6, 5, 5, 4, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 0, 12, 16, 4, 23, 9, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 8, 7, 6, 3, 2, 5, 6, 8, 9, 9, 8, 6, 5, 5, 4, 3, 4, 5, 6, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7, 8, 7, 5, 4, 5, 7, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 5, 6, 9, 10, 14, 5, 0, 1, 7, 10, 8, 7, 7, 6, 5, 3, 3, 4, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 1, 1, 3, 5, 3, 5, 7, 9, 10, 9, 7, 6, 7, 5, 2, 3, 5, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 9, 17, 17, 9, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 7, 6, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 6, 6, 6, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 5, 4, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 6, 4, 5, 9, 11, 9, 7, 7, 7, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 4, 3, 5, 10, 14, 6, 5, 5, 4, 4, 5, 5, 6, 0, 0, 0, 7, 10, 7, 7, 10, 2, 1, 1, 2, 5, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 8, 7, 7, 8, 9, 8, 6, 4, 4, 3, 2, 2, 4, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 8, 0, 7, 12, 0, 8, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 8, 6, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 4, 4, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 2, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 5, 4, 4, 3, 7, 6, 6, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 7, 8, 8, 7, 7, 6, 5, 4, 3, 2, 1, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 5, 1, 6, 17, 22, 19, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 5, 6, 6, 7, 7, 7, 7, 6, 6, 9, 6, 2, 4, 14, 22, 18, 10, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 6, 6, 5, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 6, 5, 6, 7, 5, 4, 4, 6, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 6, 6, 8, 9, 8, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 4, 4, 5, 6, 5, 4, 4, 5, 5, 2, 0, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 7, 9, 0, 0, 9, 9, 3, 8, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 7, 6, 5, 4, 3, 6, 6, 7, 7, 7, 7, 6, 6, 5, 4, 2, 3, 5, 7, 7, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 7, 5, 4, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 6, 8, 9, 10, 7, 7, 6, 4, 3, 3, 6, 9, 3, 7, 8, 6, 6, 7, 5, 1, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 3, 2, 2, 3, 4, 4, 9, 8, 7, 7, 8, 7, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 4, 6, 6, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 4, 2, 1, 2, 4, 2, 3, 5, 7, 9, 9, 8, 8, 13, 9, 5, 5, 8, 9, 8, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 12, 22, 22, 12, 6, 8, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 3, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 6, 6, 7, 7, 6, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 5, 5, 5, 4, 3, 5, 10, 11, 8, 5, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 5, 5, 2, 4, 8, 9, 7, 10, 9, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 6, 4, 2, 5, 13, 19, 6, 5, 5, 4, 4, 5, 5, 6, 14, 5, 2, 9, 12, 8, 6, 8, 5, 4, 3, 4, 7, 8, 7, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 5, 6, 5, 4, 3, 4, 6, 6, 9, 13, 14, 12, 9, 7, 6, 4, 3, 2, 4, 6, 7, 6, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 0, 8, 12, 1, 8, 14, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 5, 7, 6, 5, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 6, 7, 7, 6, 5, 5, 6, 5, 5, 6, 6, 5, 4, 3, 2, 3, 4, 5, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 3, 3, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 7, 7, 7, 6, 6, 5, 4, 4, 3, 3, 2, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 1, 7, 6, 1, 5, 14, 15, 8, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 4, 4, 5, 6, 7, 5, 5, 3, 3, 10, 16, 14, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 1, 3, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 6, 7, 6, 7, 7, 5, 3, 3, 4, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 5, 4, 5, 6, 7, 6, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 3, 3, 3, 3, 3, 5, 4, 4, 3, 4, 4, 5, 5, 5, 4, 5, 6, 9, 9, 7, 5, 5, 6, 6, 6, 5, 5, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 17, 2, 1, 44, 0, 9, 4, 14, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 3, 1, 3, 6, 8, 8, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 5, 4, 5, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 0, 6, 11, 10, 5, 0, 0, 0, 0, 5, 7, 5, 5, 9, 10, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 6, 7, 6, 3, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 4, 6, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 3, 4, 5, 4, 4, 5, 5, 6, 7, 7, 7, 15, 10, 5, 4, 6, 8, 6, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 4, 9, 18, 18, 9, 4, 8, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 2, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 5, 7, 7, 6, 5, 4, 4, 6, 6, 6, 6, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 4, 13, 18, 13, 6, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7, 7, 3, 3, 6, 7, 4, 8, 8, 7, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 7, 8, 5, 2, 4, 10, 16, 6, 5, 5, 4, 4, 5, 5, 6, 38, 19, 7, 8, 11, 6, 3, 6, 6, 5, 4, 4, 6, 7, 6, 4, 4, 4, 6, 6, 6, 6, 4, 4, 2, 5, 6, 5, 3, 2, 4, 6, 2, 10, 18, 19, 13, 8, 6, 7, 3, 3, 3, 5, 9, 9, 7, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 5, 7, 10, 11, 12, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 8, 13, 12, 6, 2, 3, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 4, 5, 7, 8, 8, 7, 5, 4, 6, 5, 5, 5, 6, 6, 4, 2, 1, 2, 4, 5, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 5, 6, 2, 2, 3, 4, 4, 3, 2, 2, 3, 5, 7, 9, 9, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 6, 5, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 0, 7, 8, 2, 4, 10, 6, 0, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 7, 6, 4, 2, 2, 4, 6, 7, 3, 5, 4, 1, 1, 4, 3, 0, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 6, 5, 3, 2, 0, 3, 6, 6, 4, 2, 4, 7, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 2, 3, 4, 5, 7, 2, 3, 4, 3, 1, 1, 3, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 4, 4, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 2, 3, 5, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 3, 2, 2, 2, 2, 2, 5, 5, 4, 4, 4, 5, 6, 6, 3, 4, 5, 8, 12, 13, 12, 10, 4, 4, 5, 6, 6, 6, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 0, 39, 141, 20, 18, 0, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 5, 4, 2, 1, 1, 2, 4, 5, 5, 3, 1, 2, 6, 8, 8, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 7, 5, 4, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 7, 7, 6, 7, 4, 1, 1, 6, 10, 8, 3, 5, 9, 8, 2, 0, 5, 6, 3, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 2, 3, 4, 7, 10, 10, 8, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 5, 5, 6, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 6, 6, 6, 5, 6, 7, 6, 6, 5, 4, 4, 4, 5, 5, 14, 8, 1, 0, 3, 4, 2, 0, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 0, 2, 10, 10, 2, 0, 7, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 3, 2, 2, 2, 2, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 6, 7, 6, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 16, 23, 16, 6, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 9, 11, 9, 4, 3, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 7, 9, 7, 3, 2, 6, 11, 6, 5, 5, 4, 4, 5, 5, 6, 41, 17, 0, 0, 5, 5, 5, 9, 5, 3, 2, 2, 4, 4, 3, 1, 3, 4, 6, 7, 7, 6, 4, 3, 2, 4, 6, 5, 3, 2, 3, 6, 0, 9, 20, 21, 14, 6, 5, 7, 3, 3, 3, 7, 11, 11, 8, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 10, 7, 0, 8, 4, 0, 14, 5, 4, 4, 5, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 12, 18, 16, 7, 1, 2, 6, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 2, 3, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 9, 8, 6, 4, 2, 7, 7, 6, 5, 5, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 4, 3, 3, 3, 4, 5, 5, 6, 7, 7, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 12, 2, 10, 34, 38, 18, 4, 6, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 5, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 6, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 4, 4, 5, 7, 8, 9, 9, 8, 7, 5, 4, 3, 3, 2, 7, 11, 10, 5, 2, 4, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 2, 2, 2, 4, 5, 5, 5, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 5, 6, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 4, 3, 6, 5, 4, 4, 6, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 5, 7, 8, 7, 6, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 4, 6, 8, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 0, 0, 2, 4, 5, 6, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 7, 5, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 3, 8, 12, 10, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 3, 3, 2, 2, 3, 3, 4, 5, 4, 3, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 3, 3, 3, 3, 3, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 7, 4, 5, 6, 6, 5, 4, 2, 1, 7, 5, 2, 2, 4, 6, 7, 7, 3, 3, 3, 4, 4, 4, 5, 5, 2, 3, 3, 4, 4, 5, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 2, 3, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 6, 6, 7, 11, 9, 7, 6, 7, 7, 5, 4, 3, 5, 8, 10, 10, 9, 7, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 8, 10, 10, 9, 7, 5, 6, 6, 6, 5, 5, 5, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 7, 6, 4, 3, 3, 4, 6, 8, 6, 3, 2, 3, 7, 8, 7, 4, 7, 8, 7, 6, 4, 3, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 4, 7, 9, 8, 6, 5, 6, 5, 0, 16, 0, 5, 7, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 5, 7, 7, 10, 9, 7, 5, 3, 2, 2, 2, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 5, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 6, 4, 5, 7, 9, 8, 7, 5, 3, 6, 6, 6, 5, 5, 5, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 5, 4, 2, 1, 5, 5, 5, 6, 6, 7, 7, 7, 2, 4, 5, 5, 3, 3, 4, 6, 6, 7, 8, 8, 8, 8, 7, 6, 6, 5, 4, 4, 6, 6, 5, 4, 2, 2, 3, 4, 6, 7, 8, 8, 5, 6, 8, 9, 8, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 4, 5, 7, 8, 8, 7, 5, 4, 11, 9, 6, 4, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 11, 3, 7, 23, 27, 14, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 5, 5, 5, 6, 7, 8, 7, 7, 6, 5, 5, 4, 4, 3, 7, 11, 9, 5, 3, 4, 6, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 3, 3, 3, 2, 2, 5, 5, 6, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 4, 3, 6, 5, 4, 5, 5, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 4, 4, 4, 4, 3, 4, 5, 4, 3, 3, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 5, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 5, 3, 4, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 6, 9, 10, 8, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 6, 6, 5, 5, 5, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 4, 4, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 7, 6, 6, 5, 6, 6, 6, 5, 4, 4, 3, 6, 4, 3, 3, 5, 7, 6, 6, 3, 4, 4, 4, 5, 5, 5, 6, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 12, 10, 6, 5, 6, 7, 7, 7, 3, 5, 8, 10, 10, 9, 7, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 4, 6, 9, 9, 8, 5, 4, 6, 5, 5, 5, 4, 4, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 9, 7, 5, 3, 3, 3, 5, 5, 6, 4, 2, 4, 6, 8, 6, 4, 4, 7, 7, 4, 5, 9, 10, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 5, 5, 5, 5, 7, 4, 33, 22, 7, 6, 1, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 9, 8, 6, 5, 4, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 3, 4, 4, 5, 5, 3, 4, 6, 7, 7, 6, 4, 2, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 5, 4, 3, 2, 5, 5, 5, 6, 6, 7, 7, 7, 5, 6, 7, 7, 5, 4, 5, 6, 4, 5, 6, 6, 6, 6, 5, 4, 6, 4, 3, 4, 5, 6, 5, 3, 4, 5, 5, 6, 7, 7, 8, 8, 4, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 10, 10, 8, 7, 5, 10, 9, 6, 4, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 7, 9, 9, 7, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 7, 4, 2, 1, 3, 6, 7, 7, 7, 6, 5, 5, 4, 3, 3, 4, 5, 6, 7, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 9, 4, 4, 9, 12, 9, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 6, 6, 6, 6, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 7, 10, 9, 5, 3, 4, 6, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 3, 3, 3, 2, 5, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 4, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 5, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 6, 5, 3, 3, 4, 5, 4, 4, 3, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 7, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 7, 7, 6, 6, 6, 7, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 7, 6, 6, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 5, 5, 5, 7, 6, 5, 5, 4, 4, 5, 5, 4, 4, 3, 5, 7, 7, 6, 4, 4, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 11, 8, 5, 4, 5, 7, 8, 8, 3, 5, 7, 9, 9, 8, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 1, 3, 5, 7, 8, 6, 5, 3, 5, 4, 4, 4, 3, 3, 3, 2, 4, 4, 5, 5, 5, 5, 6, 6, 10, 8, 6, 4, 3, 3, 3, 4, 5, 4, 3, 4, 6, 7, 6, 5, 4, 10, 7, 0, 1, 11, 10, 0, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 2, 2, 2, 3, 4, 5, 10, 10, 72, 32, 17, 11, 0, 12, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 3, 3, 3, 4, 4, 2, 3, 4, 5, 6, 5, 3, 2, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 3, 5, 5, 5, 5, 6, 6, 6, 6, 8, 9, 10, 8, 6, 5, 6, 7, 3, 3, 4, 4, 4, 4, 3, 3, 5, 4, 3, 3, 5, 5, 4, 3, 7, 7, 7, 7, 7, 7, 7, 7, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 6, 7, 8, 8, 7, 6, 5, 9, 8, 6, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 3, 3, 3, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 8, 7, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 1, 4, 7, 6, 2, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 6, 7, 7, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 7, 5, 7, 9, 8, 5, 4, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 2, 3, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 4, 6, 6, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 6, 7, 6, 4, 3, 3, 4, 7, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 8, 7, 6, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 5, 6, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 6, 8, 4, 1, 1, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 9, 8, 7, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 4, 3, 6, 5, 4, 3, 3, 3, 5, 6, 3, 3, 4, 6, 8, 8, 5, 3, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 6, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 4, 4, 4, 5, 6, 8, 7, 6, 6, 4, 4, 3, 2, 6, 5, 3, 2, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 7, 5, 4, 4, 6, 7, 7, 6, 3, 5, 6, 8, 8, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 7, 7, 7, 5, 4, 4, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 8, 7, 5, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 6, 5, 5, 1, 10, 7, 0, 4, 21, 19, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 3, 3, 3, 3, 6, 15, 64, 31, 12, 12, 5, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 7, 7, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 6, 5, 4, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 3, 3, 3, 3, 3, 2, 3, 4, 5, 6, 5, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 10, 10, 8, 6, 4, 5, 6, 2, 3, 4, 4, 4, 4, 3, 2, 5, 3, 2, 3, 4, 5, 4, 2, 7, 7, 7, 6, 6, 5, 5, 5, 5, 4, 3, 2, 2, 4, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 2, 3, 4, 4, 3, 2, 2, 8, 7, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 2, 4, 6, 7, 8, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 7, 6, 2, 3, 8, 7, 1, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 7, 7, 7, 7, 6, 5, 6, 6, 5, 5, 5, 5, 4, 4, 11, 10, 9, 8, 6, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 4, 5, 6, 6, 7, 7, 7, 7, 6, 5, 4, 5, 6, 6, 6, 7, 8, 8, 7, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 3, 4, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 5, 4, 3, 5, 7, 6, 4, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 5, 4, 3, 3, 4, 6, 8, 7, 5, 3, 3, 4, 10, 9, 8, 6, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 10, 10, 9, 8, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 7, 10, 5, 2, 6, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 9, 8, 7, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 3, 3, 5, 4, 3, 2, 2, 3, 4, 5, 3, 3, 4, 6, 8, 8, 5, 3, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 4, 4, 4, 5, 6, 6, 8, 7, 6, 6, 4, 4, 3, 2, 6, 5, 3, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 6, 2, 2, 3, 5, 7, 7, 4, 1, 3, 4, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 8, 7, 6, 4, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 5, 6, 6, 7, 5, 5, 6, 5, 5, 4, 5, 5, 0, 6, 6, 0, 11, 31, 33, 19, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 6, 3, 2, 0, 16, 20, 20, 0, 10, 11, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 7, 7, 6, 5, 3, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 4, 4, 4, 5, 6, 7, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 5, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 6, 6, 7, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 8, 7, 4, 2, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 3, 3, 5, 5, 4, 3, 6, 6, 5, 4, 4, 3, 3, 2, 7, 6, 4, 3, 3, 5, 8, 10, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 2, 2, 3, 3, 3, 3, 2, 2, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 5, 3, 2, 3, 3, 4, 5, 5, 6, 7, 7, 3, 4, 5, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 6, 8, 6, 7, 8, 6, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 12, 12, 10, 9, 7, 5, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 8, 7, 6, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 5, 6, 7, 6, 4, 3, 6, 8, 7, 3, 2, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 4, 5, 6, 5, 4, 3, 3, 6, 8, 8, 6, 5, 4, 4, 11, 10, 8, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 8, 7, 7, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 12, 10, 7, 5, 3, 2, 2, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 6, 8, 7, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 11, 13, 8, 8, 13, 14, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 7, 6, 6, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 5, 4, 3, 3, 4, 4, 3, 3, 3, 4, 5, 5, 4, 4, 3, 5, 7, 7, 6, 4, 4, 5, 5, 5, 6, 6, 6, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 5, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 5, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 4, 5, 7, 6, 3, 0, 4, 4, 5, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 8, 8, 8, 5, 4, 4, 4, 3, 3, 3, 2, 4, 4, 5, 5, 5, 5, 6, 6, 2, 2, 3, 4, 6, 7, 7, 8, 5, 6, 7, 6, 4, 3, 4, 5, 0, 7, 6, 0, 6, 19, 20, 10, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 9, 10, 10, 7, 4, 2, 5, 15, 0, 14, 0, 14, 17, 3, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 8, 8, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 7, 7, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 5, 3, 1, 2, 3, 5, 5, 6, 7, 7, 6, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 4, 4, 4, 3, 2, 2, 2, 8, 7, 5, 4, 4, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 7, 9, 9, 6, 5, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 7, 7, 8, 8, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 8, 8, 7, 6, 5, 5, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 9, 7, 5, 5, 5, 6, 6, 6, 4, 4, 5, 6, 6, 5, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 7, 7, 6, 5, 2, 6, 8, 7, 3, 2, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 8, 9, 8, 6, 5, 2, 5, 8, 9, 7, 6, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 13, 11, 8, 5, 3, 2, 2, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 6, 8, 7, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 14, 9, 10, 16, 14, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 4, 6, 6, 7, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 7, 7, 6, 5, 4, 3, 4, 5, 6, 7, 7, 7, 7, 7, 6, 4, 3, 3, 5, 7, 6, 6, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 6, 6, 6, 6, 6, 7, 4, 4, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 5, 6, 8, 9, 9, 7, 5, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 6, 5, 5, 5, 4, 4, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 4, 6, 8, 6, 4, 2, 4, 6, 6, 8, 6, 1, 0, 3, 2, 0, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 6, 5, 4, 14, 3, 8, 10, 5, 15, 12, 9, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 5, 6, 7, 8, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 5, 4, 3, 2, 3, 4, 5, 5, 6, 7, 7, 6, 5, 5, 8, 6, 5, 6, 7, 8, 7, 5, 4, 4, 4, 4, 4, 4, 3, 3, 7, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 5, 7, 7, 5, 3, 1, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 7, 4, 2, 2, 3, 5, 7, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 5, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 5, 6, 10, 9, 4, 5, 11, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 7, 7, 8, 8, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 10, 7, 5, 4, 5, 6, 6, 6, 2, 2, 3, 4, 4, 3, 2, 2, 6, 6, 6, 5, 5, 4, 4, 4, 2, 2, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 8, 8, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 7, 7, 6, 5, 2, 6, 9, 7, 3, 1, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 10, 11, 10, 8, 7, 1, 4, 8, 9, 8, 7, 6, 6, 2, 2, 2, 3, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 10, 9, 6, 4, 3, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 7, 8, 7, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 12, 6, 9, 15, 9, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 3, 3, 2, 2, 3, 3, 4, 7, 8, 9, 9, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 6, 5, 4, 5, 6, 8, 10, 10, 10, 9, 8, 7, 5, 2, 2, 4, 6, 7, 7, 3, 3, 3, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 7, 7, 8, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 7, 7, 4, 5, 5, 5, 5, 5, 5, 6, 3, 3, 4, 5, 4, 3, 1, 0, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 5, 6, 7, 9, 9, 16, 11, 5, 2, 3, 5, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 6, 6, 6, 5, 4, 4, 4, 7, 8, 7, 3, 2, 3, 6, 4, 4, 5, 6, 5, 5, 8, 11, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 6, 6, 14, 0, 25, 2, 7, 9, 0, 8, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 5, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 7, 6, 6, 5, 5, 5, 2, 2, 2, 3, 4, 5, 6, 7, 8, 8, 8, 7, 7, 7, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 5, 6, 8, 9, 5, 5, 5, 4, 4, 3, 3, 3, 2, 4, 5, 5, 3, 3, 4, 6, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 6, 6, 8, 9, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 5, 3, 1, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 3, 5, 7, 9, 10, 4, 4, 4, 4, 4, 5, 7, 7, 3, 2, 2, 3, 5, 8, 12, 14, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 8, 8, 6, 4, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 5, 3, 3, 6, 6, 5, 6, 8, 8, 6, 4, 5, 5, 5, 7, 8, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 4, 4, 4, 5, 6, 7, 2, 3, 4, 5, 5, 5, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 6, 8, 5, 3, 4, 3, 2, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 7, 7, 8, 8, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 5, 5, 5, 4, 3, 2, 5, 5, 5, 6, 6, 7, 7, 7, 3, 6, 6, 2, 2, 5, 5, 2, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 7, 7, 6, 5, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 6, 7, 8, 8, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 5, 3, 2, 4, 7, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 5, 7, 7, 5, 4, 4, 5, 1, 4, 7, 7, 5, 4, 4, 6, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 2, 3, 6, 8, 6, 4, 1, 10, 4, 9, 20, 0, 0, 44, 14, 10, 4, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 8, 7, 6, 5, 4, 4, 6, 7, 7, 5, 2, 1, 1, 2, 2, 5, 16, 2, 0, 11, 5, 7, 7, 2, 6, 2, 8, 8, 0, 14, 5, 6, 6, 7, 7, 6, 6, 5, 8, 7, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 10, 8, 5, 3, 2, 3, 4, 5, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 6, 4, 4, 5, 7, 9, 9, 8, 7, 5, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 7, 8, 8, 7, 5, 4, 3, 3, 3, 4, 5, 6, 7, 8, 0, 4, 9, 9, 5, 3, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 6, 8, 10, 10, 10, 9, 4, 6, 8, 8, 6, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 3, 5, 7, 6, 5, 4, 2, 2, 3, 3, 4, 5, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 3, 5, 6, 5, 3, 2, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 5, 3, 3, 5, 7, 9, 9, 5, 2, 3, 6, 3, 0, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 4, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 2, 1, 1, 1, 5, 4, 4, 4, 4, 5, 6, 7, 4, 3, 3, 3, 5, 7, 10, 12, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 6, 5, 4, 6, 7, 7, 5, 3, 4, 4, 5, 6, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 6, 7, 7, 4, 4, 5, 5, 5, 5, 4, 3, 7, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 0, 11, 4, 15, 41, 23, 0, 15, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 3, 3, 4, 5, 6, 5, 5, 5, 6, 6, 7, 7, 7, 3, 6, 6, 3, 3, 7, 7, 5, 6, 5, 5, 4, 4, 5, 5, 6, 8, 8, 7, 6, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 5, 6, 5, 4, 5, 7, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 6, 4, 4, 5, 6, 6, 4, 3, 3, 4, 5, 5, 4, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 2, 3, 6, 7, 5, 2, 16, 16, 0, 0, 14, 10, 25, 75, 12, 9, 5, 3, 3, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 5, 5, 4, 4, 5, 6, 7, 6, 3, 2, 3, 4, 1, 0, 4, 4, 8, 10, 0, 7, 12, 8, 9, 0, 4, 14, 1, 6, 5, 6, 6, 7, 7, 6, 6, 5, 7, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 11, 10, 7, 5, 4, 5, 6, 7, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 3, 3, 4, 5, 8, 7, 7, 6, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 7, 8, 8, 7, 5, 4, 4, 3, 3, 4, 5, 6, 7, 8, 22, 16, 8, 3, 1, 3, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 5, 5, 4, 4, 3, 5, 7, 7, 6, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 5, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 8, 9, 6, 5, 7, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 6, 7, 7, 8, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 3, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 10, 13, 15, 16, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 4, 3, 4, 6, 8, 9, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 8, 7, 6, 5, 4, 3, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 5, 4, 3, 5, 6, 6, 4, 3, 3, 4, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 3, 3, 3, 4, 5, 6, 7, 8, 6, 7, 7, 7, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 7, 7, 0, 13, 0, 17, 60, 32, 0, 19, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 3, 2, 3, 5, 8, 10, 5, 5, 5, 5, 6, 6, 6, 6, 5, 8, 7, 3, 2, 5, 5, 2, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 4, 5, 7, 8, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 2, 2, 5, 7, 7, 6, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 5, 3, 3, 5, 7, 11, 5, 0, 0, 4, 7, 6, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 7, 9, 9, 7, 5, 0, 5, 11, 27, 40, 19, 6, 27, 10, 7, 5, 4, 5, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 6, 7, 6, 5, 4, 5, 7, 1, 2, 9, 1, 3, 6, 0, 16, 5, 8, 15, 0, 0, 11, 3, 3, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 10, 9, 7, 5, 5, 5, 6, 7, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 4, 2, 2, 3, 4, 6, 6, 6, 6, 6, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 5, 6, 7, 8, 29, 19, 7, 0, 1, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 10, 9, 7, 5, 3, 2, 1, 1, 3, 4, 6, 6, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 9, 5, 2, 2, 4, 7, 9, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 8, 7, 5, 4, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 7, 7, 6, 4, 4, 5, 0, 6, 9, 5, 2, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 2, 5, 9, 15, 20, 24, 27, 6, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 9, 9, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 5, 4, 4, 4, 3, 3, 4, 5, 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6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 2, 15, 21, 17, 4, 0, 8, 11, 6, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 0, 4, 8, 10, 8, 5, 3, 2, 6, 7, 7, 6, 4, 3, 2, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 1, 0, 0, 3, 13, 20, 4, 1, 5, 5, 0, 7, 12, 4, 6, 4, 2, 2, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 8, 7, 6, 5, 4, 4, 3, 4, 5, 5, 3, 2, 3, 5, 6, 8, 0, 0, 19, 9, 0, 47, 28, 0, 13, 20, 2, 7, 9, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 3, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 6, 6, 7, 8, 8, 6, 5, 5, 4, 4, 5, 5, 6, 2, 2, 3, 4, 4, 3, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 6, 4, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 4, 4, 4, 5, 5, 4, 2, 1, 4, 8, 10, 7, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 5, 4, 3, 3, 3, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 5, 4, 4, 6, 8, 8, 6, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 5, 4, 5, 5, 4, 4, 4, 3, 3, 3, 7, 7, 6, 5, 4, 4, 4, 4, 0, 10, 20, 21, 13, 6, 5, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 5, 3, 3, 5, 7, 6, 28, 44, 37, 18, 5, 5, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 6, 8, 9, 9, 8, 6, 5, 3, 2, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 8, 8, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 5, 7, 7, 5, 2, 0, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 6, 8, 5, 0, 0, 2, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 2, 2, 2, 3, 5, 6, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 5, 7, 8, 6, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 1, 2, 4, 5, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 8, 7, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 6, 10, 10, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 6, 6, 7, 7, 6, 6, 5, 4, 5, 6, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 5, 7, 11, 8, 5, 4, 6, 7, 5, 2, 6, 6, 6, 6, 5, 4, 3, 3, 5, 7, 9, 8, 4, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 2, 6, 11, 12, 8, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 4, 3, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 10, 5, 2, 4, 8, 10, 7, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 8, 8, 7, 6, 5, 5, 6, 7, 7, 6, 5, 3, 2, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 6, 6, 4, 4, 6, 7, 13, 10, 7, 5, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 6, 7, 8, 9, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 4, 3, 2, 1, 4, 7, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 7, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 6, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 2, 7, 8, 4, 4, 8, 7, 2, 8, 8, 7, 6, 6, 7, 8, 8, 6, 5, 5, 5, 6, 7, 8, 8, 4, 4, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 7, 8, 7, 6, 5, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7, 8, 7, 5, 4, 5, 7, 6, 12, 18, 20, 15, 8, 3, 0, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 6, 7, 8, 7, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 0, 0, 4, 6, 5, 7, 10, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 2, 3, 5, 6, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 2, 3, 6, 8, 7, 5, 5, 6, 7, 7, 5, 5, 6, 7, 8, 7, 7, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 8, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 4, 3, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 6, 9, 10, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 6, 6, 6, 6, 5, 5, 3, 4, 5, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 3, 5, 7, 14, 11, 8, 7, 9, 9, 8, 6, 6, 6, 6, 6, 5, 5, 4, 3, 5, 7, 9, 7, 4, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 2, 6, 10, 11, 8, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 5, 7, 8, 7, 5, 5, 6, 7, 7, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 6, 4, 6, 10, 11, 8, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 6, 5, 5, 5, 5, 6, 7, 6, 5, 3, 2, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 6, 6, 4, 4, 6, 7, 9, 6, 2, 3, 5, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 3, 6, 8, 9, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 2, 6, 7, 3, 3, 7, 6, 2, 7, 7, 6, 6, 6, 6, 7, 7, 5, 5, 4, 4, 5, 6, 7, 7, 6, 6, 6, 6, 5, 3, 2, 1, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 6, 4, 3, 2, 3, 5, 6, 7, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 6, 6, 5, 5, 7, 9, 3, 7, 10, 10, 7, 4, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 5, 6, 7, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 5, 6, 7, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 1, 2, 4, 5, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 17, 9, 4, 5, 6, 5, 4, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 5, 6, 6, 7, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 3, 6, 7, 7, 6, 6, 7, 8, 8, 6, 5, 7, 8, 9, 8, 7, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 6, 7, 5, 4, 4, 4, 4, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 4, 5, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 2, 3, 4, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 3, 5, 7, 12, 10, 8, 7, 8, 8, 8, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 6, 8, 7, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 9, 10, 7, 3, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 7, 9, 8, 6, 6, 7, 8, 9, 8, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 8, 11, 12, 9, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 4, 4, 5, 4, 5, 6, 7, 6, 5, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 3, 4, 6, 6, 4, 4, 6, 7, 4, 2, 1, 3, 6, 7, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 3, 3, 2, 2, 2, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 8, 8, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 4, 4, 4, 6, 8, 9, 4, 6, 9, 9, 8, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 3, 6, 6, 3, 3, 6, 6, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 6, 9, 9, 8, 7, 5, 4, 2, 1, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 6, 5, 4, 4, 2, 3, 6, 7, 8, 6, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 1, 3, 5, 6, 5, 6, 8, 10, 4, 4, 3, 1, 0, 2, 6, 10, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 6, 4, 4, 5, 5, 4, 2, 4, 5, 7, 8, 8, 7, 5, 4, 7, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 3, 4, 5, 6, 8, 7, 5, 4, 4, 6, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 1, 2, 4, 5, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 29, 18, 8, 7, 7, 5, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 6, 6, 5, 5, 6, 7, 7, 5, 5, 6, 7, 7, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 4, 6, 6, 5, 3, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 9, 9, 9, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 6, 7, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 4, 5, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 3, 4, 6, 8, 7, 6, 5, 4, 4, 4, 4, 4, 6, 5, 5, 5, 4, 5, 5, 5, 5, 6, 7, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 8, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 7, 8, 7, 6, 5, 6, 8, 8, 8, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 10, 11, 8, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 6, 4, 3, 3, 4, 4, 4, 5, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 6, 4, 4, 6, 7, 2, 5, 8, 9, 7, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 11, 13, 13, 11, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 3, 3, 2, 6, 5, 4, 3, 4, 7, 9, 11, 4, 6, 8, 8, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 7, 7, 5, 3, 3, 4, 5, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 5, 6, 8, 7, 6, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 3, 3, 3, 4, 4, 5, 8, 8, 8, 7, 6, 5, 4, 3, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 2, 4, 6, 8, 8, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 6, 5, 5, 6, 8, 7, 5, 3, 1, 1, 5, 9, 13, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 6, 4, 4, 5, 5, 4, 2, 4, 5, 7, 8, 8, 7, 5, 4, 7, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 2, 2, 2, 4, 6, 7, 7, 5, 4, 3, 3, 5, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 2, 3, 4, 5, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 17, 7, 1, 4, 9, 10, 10, 11, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 3, 3, 3, 4, 4, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 8, 6, 5, 4, 4, 3, 4, 5, 5, 3, 3, 4, 5, 3, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 4, 6, 6, 5, 3, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 9, 9, 9, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 5, 4, 4, 6, 8, 4, 4, 3, 2, 2, 2, 2, 3, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 6, 7, 6, 5, 4, 5, 7, 4, 5, 5, 6, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 6, 7, 7, 6, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 4, 3, 3, 3, 4, 3, 4, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 6, 4, 4, 6, 7, 2, 11, 18, 16, 7, 2, 4, 9, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 6, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 11, 13, 13, 11, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 3, 3, 2, 6, 5, 4, 3, 4, 7, 9, 11, 2, 4, 6, 5, 4, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 7, 7, 5, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 9, 8, 6, 5, 4, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 5, 7, 7, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 6, 6, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 3, 4, 9, 7, 5, 4, 5, 6, 8, 9, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 5, 6, 7, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 5, 7, 8, 10, 5, 5, 4, 3, 3, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 0, 0, 3, 7, 7, 8, 9, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 5, 4, 4, 3, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 11, 12, 12, 10, 6, 4, 3, 4, 2, 3, 5, 4, 2, 2, 3, 4, 1, 2, 3, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 6, 7, 5, 4, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 7, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 5, 4, 4, 7, 9, 5, 6, 6, 5, 3, 3, 5, 7, 6, 5, 4, 3, 3, 5, 6, 8, 6, 5, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 6, 6, 4, 3, 5, 6, 2, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 3, 3, 3, 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4, 4, 4, 4, 19, 63, 4, 5, 8, 0, 6, 4, 5, 6, 9, 15, 21, 21, 14, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 2, 12, 17, 12, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 9, 9, 2, 5, 17, 18, 8, 6, 5, 5, 5, 5, 5, 6, 7, 6, 6, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 5, 6, 6, 4, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 5, 6, 7, 5, 3, 7, 4, 2, 3, 5, 5, 3, 1, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 17, 14, 10, 6, 3, 3, 3, 4, 5, 5, 4, 4, 4, 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4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 5, 4, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 7, 6, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 2, 2, 3, 4, 6, 7, 8, 8, 9, 9, 8, 7, 6, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 3, 2, 2, 3, 4, 6, 7, 8, 8, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 3, 3, 2, 2, 2, 3, 5, 6, 7, 6, 5, 4, 5, 5, 3, 2, 4, 6, 5, 1, 1, 6, 10, 7, 0, 0, 1, 6, 1, 3, 5, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 7, 7, 6, 8, 6, 4, 2, 2, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 3, 3, 4, 6, 6, 4, 2, 1, 2, 3, 4, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 4, 4, 3, 4, 6, 8, 6, 3, 2, 4, 8, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 8, 7, 5, 4, 4, 3, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 26, 88, 6, 5, 11, 0, 7, 1, 3, 4, 7, 13, 18, 15, 6, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 3, 4, 4, 3, 3, 2, 0, 13, 21, 15, 7, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 3, 4, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 0, 11, 11, 0, 4, 23, 25, 12, 6, 6, 5, 4, 4, 4, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 3, 3, 3, 2, 2, 2, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 7, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 9, 7, 5, 6, 7, 7, 5, 3, 8, 5, 2, 3, 5, 7, 6, 4, 7, 7, 6, 5, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 19, 16, 11, 7, 3, 3, 3, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 9, 7, 5, 4, 4, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 3, 5, 6, 5, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 0, 8, 12, 0, 13, 1, 16, 0, 0, 2, 4, 6, 7, 6, 4, 3, 8, 7, 6, 6, 7, 7, 5, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 10, 10, 4, 5, 12, 13, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 7, 5, 4, 8, 7, 6, 6, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 6, 5, 4, 3, 3, 3, 3, 4, 3, 3, 4, 5, 3, 0, 10, 8, 5, 3, 2, 3, 4, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 8, 8, 8, 7, 7, 7, 6, 6, 2, 8, 5, 11, 3, 2, 15, 1, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 5, 5, 4, 2, 3, 5, 6, 6, 5, 3, 2, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 10, 9, 6, 3, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 8, 8, 7, 6, 5, 4, 6, 7, 8, 7, 5, 4, 5, 6, 4, 5, 6, 7, 6, 5, 3, 2, 3, 3, 4, 4, 6, 6, 7, 7, 4, 3, 2, 3, 5, 6, 5, 4, 11, 11, 9, 8, 6, 5, 4, 3, 3, 3, 3, 3, 3, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 6, 5, 3, 2, 2, 3, 5, 6, 6, 5, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 7, 7, 6, 4, 4, 5, 4, 3, 3, 4, 5, 7, 8, 5, 4, 4, 3, 3, 4, 4, 5, 6, 3, 3, 6, 7, 4, 4, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 2, 3, 4, 5, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 9, 8, 6, 5, 4, 3, 3, 3, 6, 4, 2, 3, 5, 5, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 6, 7, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 2, 5, 6, 4, 3, 7, 16, 24, 255, 0, 19, 11, 2, 7, 0, 4, 7, 6, 4, 3, 3, 4, 6, 7, 9, 9, 8, 7, 6, 6, 6, 7, 2, 2, 3, 4, 5, 5, 5, 4, 8, 5, 3, 3, 4, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 2, 6, 9, 9, 5, 2, 3, 4, 4, 4, 3, 3, 3, 4, 5, 5, 5, 6, 6, 7, 6, 5, 3, 2, 3, 5, 4, 1, 8, 20, 26, 24, 0, 13, 10, 3, 3, 10, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 5, 3, 1, 4, 1, 0, 3, 9, 11, 8, 3, 9, 6, 5, 7, 6, 2, 1, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 8, 5, 2, 4, 8, 9, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 4, 3, 2, 3, 5, 7, 8, 7, 3, 3, 8, 9, 5, 5, 10, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 18, 20, 16, 8, 4, 7, 7, 2, 7, 6, 4, 2, 2, 3, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 8, 7, 5, 4, 4, 3, 4, 4, 5, 6, 6, 7, 8, 8, 7, 8, 8, 8, 8, 7, 6, 5, 5, 6, 7, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 6, 8, 9, 9, 8, 11, 4, 0, 3, 4, 1, 2, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 3, 3, 3, 3, 3, 2, 8, 8, 2, 0, 6, 9, 7, 5, 6, 6, 7, 7, 6, 6, 5, 0, 13, 2, 7, 6, 21, 100, 21, 6, 5, 3, 2, 2, 3, 5, 6, 6, 5, 5, 4, 4, 3, 3, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 5, 3, 2, 3, 5, 7, 9, 5, 5, 5, 4, 4, 3, 3, 3, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 6, 7, 7, 6, 4, 3, 7, 7, 7, 7, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 8, 6, 0, 0, 9, 10, 3, 5, 17, 10, 0, 8, 11, 5, 8, 4, 4, 4, 5, 5, 6, 6, 6, 2, 2, 3, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 0, 11, 9, 6, 6, 8, 1, 3, 7, 6, 5, 5, 7, 8, 6, 5, 3, 3, 4, 5, 6, 7, 8, 9, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 9, 7, 5, 3, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 5, 6, 7, 5, 5, 6, 7, 6, 5, 4, 3, 3, 3, 4, 5, 5, 6, 7, 7, 5, 3, 3, 4, 6, 6, 6, 4, 9, 9, 8, 7, 6, 5, 4, 3, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 5, 3, 2, 4, 5, 6, 7, 7, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 5, 5, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 8, 5, 5, 8, 8, 4, 3, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 8, 7, 6, 5, 4, 4, 4, 4, 2, 2, 3, 5, 7, 8, 8, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 8, 8, 5, 7, 7, 5, 2, 4, 11, 17, 9, 150, 0, 5, 10, 0, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 8, 8, 7, 6, 5, 5, 6, 6, 4, 5, 6, 7, 7, 7, 7, 7, 8, 5, 3, 3, 4, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 2, 2, 3, 3, 4, 5, 6, 7, 7, 5, 3, 3, 4, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 7, 6, 5, 3, 2, 4, 6, 5, 2, 5, 12, 12, 8, 14, 9, 10, 0, 7, 2, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 6, 5, 5, 5, 6, 11, 7, 3, 5, 9, 12, 11, 9, 9, 6, 5, 8, 7, 3, 3, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 6, 6, 6, 5, 4, 4, 0, 3, 6, 10, 10, 9, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 3, 7, 3, 3, 7, 7, 4, 4, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 5, 4, 8, 7, 3, 6, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 7, 7, 8, 8, 8, 7, 6, 5, 5, 7, 8, 7, 5, 4, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 4, 5, 6, 6, 5, 18, 10, 6, 7, 7, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 3, 3, 3, 4, 6, 8, 7, 5, 4, 6, 7, 6, 5, 6, 6, 7, 7, 6, 6, 5, 3, 5, 0, 5, 4, 4, 58, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 7, 8, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 7, 7, 8, 8, 8, 7, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 6, 7, 6, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 6, 1, 3, 9, 10, 8, 24, 0, 33, 0, 4, 4, 0, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 10, 5, 9, 4, 12, 3, 9, 11, 6, 5, 4, 6, 7, 7, 5, 3, 2, 2, 3, 4, 6, 9, 12, 14, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 3, 2, 2, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 2, 3, 4, 6, 7, 10, 6, 2, 2, 4, 7, 7, 6, 5, 6, 6, 6, 6, 5, 4, 3, 3, 3, 4, 5, 5, 6, 7, 7, 6, 4, 4, 4, 6, 7, 7, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 5, 6, 7, 7, 7, 7, 6, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 4, 5, 5, 5, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 8, 5, 6, 10, 9, 4, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 4, 4, 4, 4, 5, 5, 7, 8, 8, 7, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 1, 4, 7, 8, 8, 8, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 3, 5, 7, 9, 10, 7, 9, 9, 6, 2, 2, 5, 9, 5, 22, 1, 4, 8, 14, 2, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 6, 7, 7, 7, 6, 6, 7, 5, 3, 3, 5, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 3, 4, 5, 7, 6, 4, 4, 5, 5, 5, 4, 8, 7, 6, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 4, 3, 4, 6, 6, 5, 6, 7, 4, 0, 17, 0, 7, 0, 9, 0, 8, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 5, 3, 3, 6, 10, 14, 10, 5, 4, 7, 10, 11, 10, 8, 5, 4, 7, 7, 4, 4, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 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8, 4, 4, 4, 3, 3, 3, 2, 2, 3, 4, 7, 9, 8, 6, 3, 1, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 7, 8, 7, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 4, 3, 4, 3, 3, 8, 15, 26, 65, 27, 42, 6, 0, 6, 1, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 12, 0, 6, 4, 12, 0, 11, 9, 3, 3, 4, 6, 8, 7, 4, 1, 5, 4, 3, 4, 6, 9, 13, 15, 7, 5, 4, 3, 3, 4, 5, 7, 7, 6, 4, 3, 3, 4, 6, 7, 5, 4, 3, 2, 2, 3, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 5, 5, 6, 8, 11, 12, 20, 13, 6, 4, 6, 8, 6, 3, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 5, 7, 8, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 6, 7, 7, 7, 7, 7, 3, 4, 6, 7, 7, 6, 5, 4, 6, 5, 4, 4, 4, 4, 5, 6, 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4, 3, 4, 6, 6, 5, 5, 3, 3, 6, 6, 3, 4, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 2, 9, 8, 5, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 5, 4, 5, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 2, 3, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 6, 6, 5, 3, 4, 5, 6, 7, 6, 5, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 5, 4, 1, 3, 4, 4, 4, 4, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 5, 5, 6, 7, 8, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 4, 5, 5, 8, 2, 1, 6, 9, 5, 3, 6, 4, 5, 6, 6, 6, 6, 5, 4, 12, 2, 4, 6, 14, 7, 1, 10, 4, 5, 6, 7, 7, 6, 5, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 8, 8, 8, 8, 5, 5, 5, 4, 4, 4, 3, 3, 4, 5, 7, 7, 7, 5, 3, 2, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 9, 11, 12, 12, 10, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 7, 12, 6, 0, 11, 31, 78, 244, 135, 41, 14, 29, 5, 0, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 5, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 0, 8, 10, 5, 0, 8, 4, 2, 2, 4, 6, 8, 7, 3, 0, 8, 6, 5, 4, 5, 7, 10, 12, 7, 6, 5, 3, 3, 5, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 4, 3, 3, 3, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 9, 8, 6, 6, 7, 10, 12, 14, 21, 14, 6, 4, 6, 8, 6, 2, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 4, 5, 7, 8, 7, 6, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 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6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 3, 0, 0, 2, 5, 6, 5, 4, 4, 5, 4, 2, 1, 4, 1, 1, 5, 5, 2, 2, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 10, 6, 3, 6, 13, 15, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 7, 9, 11, 12, 4, 5, 4, 3, 3, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 11, 9, 7, 6, 5, 4, 5, 6, 5, 5, 6, 7, 7, 5, 4, 2, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 5, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 6, 6, 5, 4, 3, 5, 6, 6, 5, 5, 7, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 7, 5, 4, 6, 7, 4, 3, 2, 1, 3, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 6, 6, 15, 10, 7, 8, 7, 3, 0, 1, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 0, 4, 12, 0, 11, 3, 4, 5, 6, 6, 5, 4, 3, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 5, 5, 5, 7, 6, 5, 5, 4, 4, 4, 5, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 10, 12, 12, 11, 9, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 15, 21, 10, 1, 17, 45, 255, 238, 255, 106, 18, 0, 5, 14, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 6, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 10, 9, 12, 0, 8, 7, 7, 2, 2, 4, 6, 8, 7, 3, 0, 8, 7, 6, 5, 5, 6, 7, 8, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 5, 6, 7, 9, 11, 11, 7, 3, 2, 4, 6, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 6, 7, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 3, 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4, 4, 4, 5, 6, 7, 10, 4, 1, 2, 4, 3, 4, 7, 0, 10, 2, 0, 3, 7, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 3, 5, 6, 7, 7, 7, 5, 3, 2, 5, 2, 2, 5, 5, 2, 1, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 0, 4, 15, 26, 27, 15, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 5, 5, 7, 10, 13, 15, 2, 5, 5, 3, 4, 6, 7, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 9, 5, 3, 4, 4, 3, 5, 9, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 8, 7, 6, 5, 4, 3, 2, 1, 2, 3, 3, 4, 5, 6, 6, 7, 6, 6, 6, 6, 6, 5, 4, 4, 7, 9, 10, 10, 8, 8, 9, 11, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 6, 8, 7, 3, 2, 4, 7, 7, 8, 6, 3, 3, 5, 3, 0, 5, 5, 5, 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5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 6, 6, 6, 4, 5, 5, 5, 5, 4, 4, 4, 4, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 7, 8, 6, 5, 4, 3, 3, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 2, 7, 6, 5, 5, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 13, 9, 6, 7, 6, 3, 4, 8, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 2, 3, 4, 4, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 6, 6, 12, 6, 1, 2, 7, 11, 9, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 5, 4, 4, 5, 7, 7, 8, 0, 21, 6, 0, 8, 0, 15, 11, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 7, 7, 6, 5, 4, 5, 4, 4, 6, 7, 7, 5, 2, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 2, 4, 6, 6, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 4, 5, 7, 8, 9, 3, 0, 3, 4, 2, 3, 6, 3, 0, 7, 0, 52, 8, 0, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 3, 2, 5, 9, 11, 9, 5, 6, 7, 7, 6, 5, 5, 6, 6, 8, 5, 5, 7, 6, 3, 2, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 2, 3, 4, 5, 6, 6, 6, 6, 1, 0, 3, 12, 21, 21, 12, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 7, 8, 9, 10, 1, 5, 6, 3, 4, 9, 10, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 6, 6, 3, 4, 8, 8, 7, 6, 5, 5, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 3, 8, 9, 10, 9, 7, 7, 7, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 10, 8, 4, 2, 5, 8, 6, 9, 7, 3, 4, 7, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 12, 23, 21, 5, 0, 4, 8, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 12, 1, 13, 0, 8, 5, 8, 5, 5, 4, 4, 4, 4, 5, 5, 7, 6, 6, 6, 6, 6, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 8, 7, 5, 4, 3, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 6, 6, 6, 6, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 6, 6, 6, 5, 4, 3, 7, 7, 7, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 4, 4, 4, 4, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 3, 6, 2, 0, 6, 18, 52, 140, 94, 57, 11, 13, 11, 0, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 5, 7, 9, 6, 6, 6, 5, 5, 4, 4, 4, 6, 0, 9, 8, 67, 19, 2, 7, 6, 5, 4, 6, 7, 7, 5, 3, 3, 4, 5, 6, 6, 6, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 7, 9, 11, 10, 8, 5, 2, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 5, 6, 6, 6, 5, 5, 9, 9, 10, 8, 5, 2, 2, 3, 8, 7, 5, 4, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 5, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 4, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 7, 8, 8, 7, 5, 4, 4, 5, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 7, 7, 6, 4, 4, 8, 7, 5, 4, 3, 3, 4, 5, 7, 6, 6, 5, 5, 6, 6, 7, 20, 14, 10, 9, 6, 3, 4, 8, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 5, 5, 5, 5, 4, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 3, 2, 1, 0, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 20, 11, 2, 2, 8, 11, 8, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 8, 6, 4, 4, 5, 7, 8, 8, 4, 0, 6, 14, 9, 10, 14, 0, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 5, 6, 7, 7, 4, 5, 5, 5, 4, 3, 2, 2, 5, 4, 4, 6, 7, 7, 5, 2, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 8, 8, 6, 4, 2, 0, 4, 8, 8, 5, 4, 5, 7, 4, 4, 3, 3, 3, 4, 5, 5, 5, 4, 4, 3, 4, 5, 7, 8, 7, 1, 0, 6, 8, 6, 5, 9, 8, 0, 22, 16, 112, 22, 5, 9, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 0, 6, 14, 17, 14, 8, 7, 6, 5, 2, 1, 3, 6, 9, 11, 8, 7, 9, 8, 4, 3, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 1, 2, 4, 5, 6, 7, 7, 7, 7, 4, 1, 1, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 5, 7, 7, 6, 5, 3, 0, 5, 6, 3, 5, 11, 12, 8, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 10, 9, 6, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 4, 6, 11, 10, 4, 2, 5, 9, 8, 6, 5, 4, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 5, 4, 4, 3, 2, 2, 5, 5, 6, 6, 6, 5, 4, 3, 5, 7, 7, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 11, 14, 12, 7, 5, 7, 11, 1, 4, 4, 1, 3, 9, 7, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 48, 61, 54, 22, 2, 5, 5, 0, 3, 4, 4, 5, 5, 4, 4, 3, 3, 5, 0, 20, 1, 1, 5, 6, 8, 7, 5, 4, 4, 5, 7, 8, 8, 7, 7, 6, 6, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 2, 9, 7, 5, 3, 2, 3, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 7, 7, 7, 7, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 5, 7, 8, 8, 6, 3, 1, 5, 6, 6, 7, 7, 6, 6, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 10, 6, 3, 5, 7, 8, 8, 8, 17, 24, 29, 16, 0, 3, 13, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 4, 3, 4, 6, 8, 10, 6, 6, 6, 5, 5, 4, 4, 4, 12, 0, 22, 25, 128, 33, 8, 7, 7, 6, 5, 5, 7, 8, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 4, 3, 5, 7, 8, 5, 2, 3, 9, 20, 26, 17, 4, 2, 9, 7, 6, 6, 5, 5, 6, 6, 7, 5, 7, 8, 7, 5, 4, 5, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 6, 5, 2, 6, 11, 7, 0, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 6, 4, 3, 5, 7, 7, 5, 3, 3, 5, 6, 6, 5, 0, 2, 4, 5, 4, 4, 5, 7, 8, 6, 3, 3, 5, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 9, 8, 6, 5, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 3, 1, 3, 7, 13, 16, 20, 14, 6, 2, 3, 4, 5, 4, 5, 4, 2, 3, 5, 5, 4, 3, 2, 2, 2, 3, 3, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 1, 3, 5, 6, 7, 7, 6, 5, 7, 6, 5, 3, 3, 4, 5, 6, 3, 4, 6, 7, 8, 7, 6, 5, 1, 19, 12, 0, 11, 12, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 8, 13, 9, 4, 3, 5, 5, 8, 5, 2, 1, 3, 5, 7, 7, 5, 6, 6, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 5, 3, 4, 7, 8, 7, 4, 8, 7, 5, 4, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 6, 8, 10, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 8, 8, 7, 6, 5, 1, 2, 3, 4, 6, 7, 8, 9, 8, 7, 6, 4, 3, 3, 3, 3, 5, 5, 5, 6, 6, 7, 7, 7, 3, 5, 6, 6, 4, 4, 5, 7, 14, 0, 19, 21, 56, 12, 12, 0, 2, 2, 3, 5, 7, 7, 4, 1, 1, 10, 10, 11, 6, 0, 4, 3, 12, 2, 0, 4, 11, 10, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 8, 4, 0, 14, 36, 30, 7, 1, 12, 10, 1, 13, 6, 0, 14, 5, 5, 7, 8, 8, 7, 5, 5, 8, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 4, 4, 7, 13, 17, 17, 15, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 4, 5, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 12, 7, 4, 8, 15, 17, 10, 1, 4, 4, 5, 6, 6, 7, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 4, 5, 2, 3, 4, 5, 5, 5, 5, 4, 3, 5, 7, 9, 9, 7, 5, 3, 4, 6, 7, 7, 5, 5, 6, 8, 4, 4, 4, 5, 6, 7, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 5, 4, 4, 5, 5, 2, 0, 2, 3, 4, 5, 5, 5, 5, 4, 7, 13, 8, 3, 5, 1, 0, 8, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 2, 10, 16, 14, 5, 0, 3, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 7, 8, 8, 7, 6, 5, 4, 4, 5, 6, 5, 4, 5, 8, 5, 2, 4, 7, 3, 2, 18, 41, 166, 251, 182, 48, 32, 0, 0, 12, 5, 4, 3, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 10, 11, 8, 9, 4, 2, 10, 9, 8, 6, 5, 4, 5, 6, 6, 4, 3, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 5, 7, 10, 8, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 3, 3, 3, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 5, 4, 2, 1, 5, 6, 6, 7, 7, 8, 8, 9, 3, 3, 5, 6, 6, 6, 6, 6, 6, 7, 8, 8, 8, 8, 7, 6, 8, 6, 4, 2, 2, 4, 6, 8, 7, 6, 6, 5, 5, 6, 6, 7, 6, 5, 5, 5, 5, 5, 5, 4, 8, 3, 6, 16, 18, 10, 5, 7, 4, 5, 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4, 4, 4, 4, 4, 7, 7, 3, 2, 4, 5, 3, 6, 7, 7, 7, 7, 6, 6, 6, 5, 5, 6, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 4, 5, 7, 8, 5, 3, 7, 6, 5, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 6, 7, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 2, 3, 3, 4, 6, 7, 7, 8, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 10, 0, 8, 6, 26, 1, 7, 5, 5, 5, 6, 9, 11, 10, 8, 5, 4, 8, 6, 7, 2, 13, 6, 6, 0, 3, 6, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 9, 7, 1, 6, 18, 15, 1, 17, 0, 2, 24, 9, 11, 9, 4, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 7, 9, 11, 12, 11, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 4, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 3, 6, 11, 12, 7, 2, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 6, 8, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 7, 8, 8, 7, 5, 4, 5, 7, 7, 6, 4, 3, 4, 5, 4, 4, 4, 5, 6, 7, 8, 9, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 8, 12, 7, 4, 9, 9, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 1, 7, 11, 10, 4, 0, 1, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 5, 6, 5, 4, 4, 5, 6, 4, 6, 9, 6, 4, 18, 37, 241, 255, 242, 74, 0, 25, 19, 2, 6, 5, 4, 5, 7, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 10, 2, 0, 0, 4, 9, 10, 7, 8, 7, 6, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 4, 4, 7, 11, 10, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 3, 6, 6, 7, 7, 7, 7, 7, 8, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 7, 7, 7, 7, 6, 6, 5, 5, 3, 2, 2, 3, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 6, 11, 10, 5, 2, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 4, 2, 2, 4, 5, 5, 4, 8, 7, 7, 8, 5, 2, 3, 7, 6, 6, 5, 5, 5, 5, 6, 6, 3, 2, 3, 6, 9, 10, 6, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 8, 7, 2, 0, 3, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 8, 9, 9, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 8, 6, 4, 4, 6, 7, 7, 6, 4, 5, 5, 4, 4, 5, 7, 10, 8, 7, 7, 8, 8, 7, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 6, 7, 6, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 4, 5, 7, 8, 3, 2, 2, 3, 5, 6, 4, 2, 7, 5, 4, 5, 6, 7, 6, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 5, 5, 5, 5, 6, 6, 5, 6, 7, 7, 7, 7, 6, 5, 8, 7, 6, 5, 4, 3, 3, 4, 13, 12, 10, 8, 7, 6, 5, 5, 5, 5, 4, 4, 5, 6, 6, 7, 8, 5, 12, 13, 0, 0, 0, 1, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 2, 0, 1, 6, 6, 2, 4, 9, 13, 14, 10, 6, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 7, 4, 2, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 6, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 0, 2, 4, 7, 8, 9, 8, 8, 3, 3, 3, 4, 4, 4, 5, 5, 4, 5, 7, 6, 4, 3, 5, 6, 8, 4, 5, 5, 6, 2, 6, 11, 7, 6, 7, 9, 11, 11, 9, 6, 9, 0, 2, 14, 0, 13, 0, 14, 0, 16, 26, 19, 8, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 8, 9, 5, 2, 2, 2, 1, 0, 13, 27, 0, 11, 0, 13, 0, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 3, 3, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 4, 6, 6, 5, 5, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 5, 6, 5, 3, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 7, 6, 6, 7, 8, 9, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 5, 6, 7, 7, 7, 7, 6, 5, 6, 6, 6, 6, 6, 6, 5, 4, 6, 7, 6, 4, 4, 5, 6, 5, 4, 4, 4, 5, 6, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 5, 4, 4, 4, 4, 4, 4, 5, 3, 4, 5, 5, 5, 5, 8, 10, 6, 5, 5, 5, 5, 5, 5, 5, 4, 5, 2, 0, 5, 12, 9, 1, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 6, 8, 7, 5, 3, 2, 2, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 5, 4, 3, 3, 4, 5, 6, 6, 5, 4, 2, 5, 4, 6, 10, 6, 3, 13, 28, 123, 252, 146, 32, 30, 15, 0, 9, 6, 6, 6, 7, 9, 9, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 20, 51, 53, 18, 1, 6, 5, 6, 6, 5, 4, 3, 4, 4, 5, 7, 7, 6, 6, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 3, 2, 5, 10, 9, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 6, 6, 6, 6, 3, 4, 5, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 5, 5, 5, 5, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 1, 7, 10, 7, 3, 3, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 3, 2, 3, 4, 4, 4, 9, 6, 4, 3, 4, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6, 6, 4, 4, 9, 14, 15, 10, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 5, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 5, 6, 7, 7, 6, 6, 6, 6, 4, 3, 4, 8, 11, 25, 19, 11, 5, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 4, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 7, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 3, 4, 5, 4, 4, 7, 6, 5, 5, 7, 8, 6, 5, 4, 4, 4, 4, 4, 4, 4, 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6, 6, 6, 6, 6, 6, 6, 4, 2, 2, 4, 6, 7, 5, 3, 6, 4, 4, 5, 7, 8, 5, 3, 5, 5, 5, 6, 6, 7, 7, 7, 5, 4, 4, 3, 3, 4, 6, 6, 6, 5, 4, 4, 3, 3, 3, 4, 2, 5, 6, 5, 2, 1, 3, 5, 3, 15, 18, 9, 2, 5, 6, 2, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 8, 8, 7, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 6, 5, 4, 4, 4, 4, 4, 6, 7, 6, 4, 3, 4, 6, 7, 6, 6, 5, 5, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 6, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 5, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 2, 3, 5, 6, 6, 5, 8, 7, 5, 4, 4, 5, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 6, 7, 8, 5, 4, 4, 6, 8, 8, 5, 1, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 3, 3, 7, 11, 7, 0, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 5, 7, 9, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 9, 7, 5, 3, 3, 3, 5, 5, 9, 8, 6, 4, 4, 5, 6, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 2, 4, 6, 7, 6, 5, 5, 6, 7, 5, 3, 4, 6, 7, 5, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 3, 4, 4, 4, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 8, 13, 18, 15, 11, 7, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 23, 46, 34, 12, 16, 10, 0, 9, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 4, 4, 5, 5, 6, 6, 7, 7, 6, 5, 4, 5, 8, 9, 7, 4, 14, 4, 1, 7, 7, 1, 3, 11, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 11, 3, 15, 0, 8, 2, 0, 91, 13, 0, 19, 4, 0, 18, 11, 0, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 5, 4, 4, 4, 5, 6, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 1, 3, 5, 7, 7, 8, 10, 13, 0, 5, 11, 13, 11, 9, 8, 8, 7, 6, 5, 4, 3, 4, 5, 6, 4, 4, 5, 6, 7, 6, 6, 5, 6, 5, 5, 5, 4, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 10, 9, 8, 7, 6, 5, 4, 3, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 11, 8, 6, 5, 6, 7, 6, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 3, 2, 2, 4, 5, 5, 4, 8, 5, 3, 4, 8, 9, 7, 4, 6, 6, 7, 8, 8, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 1, 6, 5, 8, 36, 44, 11, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 9, 7, 4, 3, 5, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 4, 6, 7, 5, 3, 6, 5, 5, 6, 7, 7, 5, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 6, 5, 5, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 11, 12, 5, 2, 6, 7, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 4, 5, 7, 6, 5, 4, 6, 7, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 3, 3, 2, 2, 3, 3, 3, 3, 4, 5, 7, 8, 6, 6, 5, 5, 6, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 6, 7, 8, 7, 6, 6, 4, 4, 3, 2, 4, 4, 4, 4, 3, 3, 2, 2, 4, 4, 4, 5, 5, 6, 6, 6, 5, 3, 2, 2, 4, 5, 5, 4, 6, 6, 6, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 6, 7, 7, 8, 9, 4, 4, 4, 6, 7, 7, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 3, 2, 7, 19, 24, 13, 0, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 6, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 6, 6, 6, 1, 2, 3, 4, 5, 6, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 10, 8, 6, 4, 3, 3, 3, 4, 9, 8, 6, 5, 4, 5, 6, 7, 8, 7, 7, 7, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 1, 4, 9, 10, 9, 7, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 4, 5, 5, 5, 6, 6, 6, 7, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 8, 15, 21, 18, 13, 7, 4, 3, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 9, 26, 15, 0, 6, 3, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 7, 6, 5, 6, 7, 7, 5, 3, 9, 2, 6, 18, 18, 7, 4, 10, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 3, 7, 7, 18, 0, 11, 19, 0, 48, 59, 2, 4, 0, 0, 18, 8, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 5, 3, 3, 4, 6, 7, 4, 4, 3, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 0, 1, 3, 4, 4, 5, 7, 9, 4, 10, 16, 15, 9, 4, 3, 4, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 8, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 6, 5, 7, 7, 6, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 3, 2, 2, 5, 6, 6, 6, 8, 6, 4, 5, 7, 8, 6, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 0, 4, 11, 7, 4, 10, 18, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 6, 6, 7, 6, 6, 5, 4, 4, 4, 4, 8, 6, 4, 3, 5, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 3, 3, 4, 4, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 8, 6, 4, 2, 6, 5, 5, 4, 4, 4, 5, 5, 4, 2, 2, 3, 4, 5, 4, 3, 5, 7, 6, 2, 3, 7, 8, 3, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 6, 6, 6, 6, 6, 7, 3, 5, 6, 7, 7, 6, 5, 3, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 3, 2, 2, 3, 3, 3, 3, 3, 4, 5, 6, 5, 5, 4, 5, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 8, 7, 7, 6, 4, 3, 3, 2, 4, 4, 4, 3, 3, 3, 2, 2, 4, 4, 4, 5, 5, 6, 6, 6, 5, 3, 2, 2, 4, 5, 5, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 7, 6, 6, 7, 8, 8, 4, 4, 5, 6, 6, 6, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 10, 23, 29, 21, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 7, 7, 6, 4, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 6, 7, 7, 3, 3, 4, 4, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 5, 4, 4, 4, 4, 5, 6, 5, 4, 3, 3, 3, 3, 4, 8, 8, 8, 7, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 7, 8, 9, 9, 10, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 8, 9, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 11, 10, 9, 7, 5, 4, 2, 2, 5, 5, 6, 6, 6, 7, 7, 7, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 6, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 6, 4, 3, 5, 9, 12, 13, 10, 6, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 13, 6, 0, 8, 10, 4, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 5, 4, 2, 0, 8, 13, 10, 10, 14, 11, 3, 4, 4, 5, 6, 6, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 4, 3, 4, 4, 6, 0, 5, 13, 6, 4, 173, 55, 7, 18, 23, 8, 0, 9, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 10, 8, 6, 4, 3, 5, 6, 8, 5, 4, 4, 3, 3, 3, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 1, 3, 4, 4, 3, 3, 4, 6, 5, 10, 13, 10, 4, 0, 2, 5, 6, 5, 4, 4, 4, 5, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 5, 6, 7, 8, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 4, 5, 6, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 4, 3, 4, 6, 8, 8, 7, 7, 6, 5, 5, 7, 7, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 12, 15, 7, 0, 2, 9, 5, 0, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 6, 6, 5, 4, 3, 3, 6, 4, 3, 3, 5, 6, 6, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 5, 5, 5, 3, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 9, 9, 6, 4, 2, 6, 5, 5, 4, 4, 5, 6, 6, 5, 4, 3, 3, 5, 6, 5, 3, 5, 5, 3, 1, 4, 8, 7, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 3, 4, 5, 7, 7, 5, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 5, 4, 3, 3, 6, 5, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 5, 5, 4, 3, 3, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 4, 3, 3, 4, 5, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 5, 5, 6, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 6, 9, 12, 8, 1, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 5, 3, 1, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 5, 6, 6, 7, 5, 5, 4, 4, 3, 3, 3, 3, 8, 8, 8, 7, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 8, 9, 10, 10, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 5, 3, 2, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 11, 10, 9, 7, 5, 4, 2, 2, 5, 5, 6, 6, 6, 7, 7, 7, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 8, 6, 4, 2, 3, 4, 5, 4, 4, 5, 7, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 11, 6, 2, 7, 8, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 5, 4, 3, 3, 2, 8, 9, 4, 3, 9, 12, 11, 4, 5, 6, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 6, 5, 4, 3, 11, 3, 1, 18, 2, 0, 15, 2, 61, 28, 0, 0, 2, 3, 8, 15, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 7, 5, 5, 5, 6, 7, 5, 5, 5, 5, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 7, 8, 7, 4, 3, 4, 5, 3, 5, 7, 5, 2, 2, 5, 8, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 6, 5, 4, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 3, 4, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 8, 6, 4, 4, 6, 8, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 4, 4, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 3, 15, 10, 1, 11, 31, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 5, 3, 3, 5, 3, 3, 4, 5, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 7, 5, 4, 4, 5, 5, 7, 8, 8, 7, 6, 6, 7, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 8, 8, 6, 4, 2, 6, 5, 5, 5, 5, 6, 7, 7, 7, 7, 7, 6, 5, 5, 5, 5, 4, 4, 3, 4, 6, 7, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 2, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 9, 7, 6, 6, 7, 7, 6, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 6, 5, 5, 5, 8, 7, 5, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 6, 4, 4, 5, 6, 5, 4, 3, 4, 5, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 3, 3, 3, 3, 4, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 2, 0, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 5, 6, 7, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 7, 7, 6, 6, 6, 5, 7, 7, 6, 6, 5, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 2, 2, 3, 4, 6, 7, 7, 8, 7, 7, 7, 6, 6, 6, 5, 5, 8, 7, 7, 7, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 5, 6, 6, 7, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 3, 1, 1, 4, 6, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 4, 5, 5, 5, 6, 6, 6, 7, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 7, 7, 5, 3, 2, 3, 0, 1, 2, 5, 8, 8, 6, 3, 5, 5, 5, 5, 6, 6, 6, 6, 3, 1, 0, 0, 0, 1, 1, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 3, 5, 6, 6, 4, 3, 3, 4, 5, 1, 14, 34, 32, 11, 4, 14, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 7, 6, 5, 4, 3, 11, 8, 7, 21, 7, 0, 12, 9, 20, 78, 48, 13, 6, 3, 12, 0, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 8, 8, 7, 7, 7, 6, 6, 6, 5, 6, 7, 7, 7, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 7, 7, 6, 4, 3, 4, 5, 3, 3, 4, 4, 4, 5, 6, 6, 2, 3, 5, 7, 7, 7, 5, 4, 7, 6, 5, 3, 3, 3, 4, 5, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 2, 3, 4, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 8, 6, 4, 4, 5, 6, 5, 4, 5, 6, 7, 6, 6, 5, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 9, 6, 0, 0, 13, 13, 0, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 6, 6, 5, 4, 3, 4, 3, 2, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 9, 8, 5, 4, 4, 6, 4, 7, 9, 9, 7, 5, 6, 8, 5, 5, 5, 4, 4, 3, 3, 3, 2, 3, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 6, 7, 8, 8, 10, 11, 9, 5, 3, 4, 6, 3, 4, 6, 8, 7, 6, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 6, 5, 4, 4, 4, 4, 12, 9, 6, 6, 7, 7, 5, 2, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 10, 7, 5, 5, 6, 7, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 3, 2, 2, 3, 3, 4, 6, 7, 6, 3, 3, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 5, 2, 2, 7, 10, 10, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 10, 9, 9, 7, 6, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 4, 5, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 5, 5, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 3, 4, 4, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 6, 7, 6, 4, 3, 3, 4, 3, 5, 7, 6, 4, 3, 5, 7, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 3, 4, 4, 4, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 6, 4, 4, 5, 6, 3, 3, 3, 5, 7, 8, 6, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 2, 5, 8, 5, 7, 12, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 7, 7, 6, 5, 4, 7, 7, 6, 6, 5, 5, 4, 4, 1, 4, 6, 6, 4, 3, 4, 6, 0, 0, 18, 44, 41, 13, 1, 9, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 8, 7, 6, 5, 4, 3, 0, 10, 11, 8, 11, 10, 2, 0, 16, 54, 0, 0, 19, 0, 13, 10, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 8, 8, 8, 8, 7, 6, 5, 5, 6, 8, 9, 8, 6, 4, 2, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 7, 7, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 4, 4, 2, 1, 2, 4, 6, 6, 5, 6, 6, 6, 3, 1, 0, 2, 6, 8, 9, 7, 5, 3, 7, 6, 4, 3, 2, 2, 3, 4, 7, 7, 7, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 7, 5, 4, 3, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 8, 7, 5, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 3, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 5, 3, 3, 4, 4, 3, 2, 5, 6, 7, 7, 5, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 0, 5, 15, 1, 0, 13, 14, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 4, 3, 2, 2, 4, 6, 6, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 10, 8, 5, 3, 4, 6, 2, 5, 8, 7, 4, 3, 4, 6, 5, 5, 5, 4, 4, 3, 3, 3, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 9, 12, 15, 11, 5, 2, 4, 8, 3, 4, 8, 10, 8, 5, 4, 6, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 6, 5, 4, 3, 3, 3, 13, 10, 7, 7, 8, 7, 4, 1, 6, 5, 3, 2, 2, 3, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 7, 8, 9, 8, 8, 7, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 11, 8, 6, 6, 7, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 3, 4, 6, 7, 6, 3, 2, 5, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 5, 1, 2, 6, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 11, 10, 9, 8, 6, 5, 4, 3, 3, 4, 4, 5, 7, 8, 8, 9, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 2, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 3, 6, 9, 10, 8, 5, 3, 3, 3, 5, 7, 6, 4, 3, 5, 7, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 4, 5, 5, 4, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 8, 5, 3, 3, 5, 7, 8, 6, 4, 4, 5, 7, 7, 6, 5, 5, 5, 6, 6, 7, 7, 7, 8, 2, 6, 8, 0, 0, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 7, 8, 8, 7, 5, 5, 8, 7, 7, 6, 6, 5, 5, 5, 0, 3, 6, 6, 4, 3, 4, 7, 1, 7, 11, 9, 5, 4, 7, 9, 6, 6, 6, 6, 6, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 7, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 6, 6, 7, 7, 6, 6, 5, 2, 3, 5, 6, 6, 5, 3, 2, 6, 6, 7, 7, 7, 6, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 2, 3, 3, 3, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 5, 4, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 5, 6, 6, 7, 7, 6, 6, 5, 4, 3, 3, 4, 5, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 3, 1, 5, 2, 12, 4, 5, 13, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 6, 5, 5, 5, 5, 5, 5, 4, 3, 5, 4, 3, 9, 16, 13, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 5, 5, 5, 7, 9, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 4, 6, 7, 7, 8, 5, 6, 7, 6, 4, 3, 4, 5, 3, 3, 4, 4, 6, 6, 7, 7, 5, 5, 5, 6, 8, 12, 16, 18, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 5, 5, 5, 6, 7, 8, 10, 9, 8, 7, 5, 4, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 14, 10, 4, 1, 1, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 9, 9, 8, 7, 6, 4, 4, 3, 3, 1, 3, 8, 7, 2, 2, 7, 5, 5, 5, 6, 6, 7, 7, 7, 3, 4, 6, 7, 7, 6, 4, 3, 6, 13, 1, 9, 11, 0, 7, 17, 8, 7, 6, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 8, 5, 5, 9, 9, 4, 3, 6, 8, 7, 7, 6, 6, 7, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 6, 7, 8, 7, 5, 3, 4, 7, 7, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 6, 5, 4, 4, 4, 6, 7, 5, 3, 4, 8, 12, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 8, 8, 7, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 4, 3, 3, 3, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 8, 8, 7, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 4, 2, 1, 2, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 3, 5, 5, 3, 0, 1, 5, 9, 6, 5, 4, 3, 3, 3, 3, 4, 5, 4, 2, 1, 1, 2, 4, 5, 13, 0, 10, 11, 3, 4, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 3, 3, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 3, 2, 4, 9, 10, 7, 6, 8, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 1, 1, 2, 3, 4, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 6, 6, 4, 1, 5, 4, 3, 2, 2, 2, 2, 3, 9, 8, 7, 7, 6, 5, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 12, 21, 15, 0, 0, 3, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 5, 4, 5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 7, 7, 7, 6, 6, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 4, 4, 5, 5, 6, 6, 7, 7, 5, 6, 6, 6, 7, 7, 8, 8, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 5, 4, 3, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 8, 7, 6, 7, 9, 9, 7, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 4, 3, 7, 2, 10, 3, 7, 18, 8, 8, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 5, 10, 16, 13, 6, 4, 4, 4, 5, 5, 5, 5, 5, 3, 3, 4, 5, 4, 4, 5, 6, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 5, 5, 6, 6, 5, 6, 7, 6, 4, 3, 4, 5, 3, 3, 4, 5, 5, 6, 7, 7, 9, 8, 6, 5, 5, 6, 8, 9, 4, 4, 4, 4, 5, 5, 6, 7, 5, 4, 4, 5, 5, 7, 8, 9, 9, 8, 8, 6, 5, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 15, 12, 8, 6, 7, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 6, 5, 4, 4, 4, 4, 1, 2, 6, 6, 2, 2, 6, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 6, 6, 6, 6, 4, 4, 0, 4, 10, 7, 11, 1, 8, 6, 5, 5, 6, 6, 6, 5, 3, 3, 4, 5, 6, 7, 8, 7, 6, 6, 3, 3, 3, 3, 2, 2, 2, 2, 8, 7, 7, 6, 6, 7, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 4, 3, 5, 8, 9, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 7, 8, 7, 4, 3, 6, 8, 4, 4, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 6, 6, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 6, 7, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 3, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 6, 6, 4, 2, 3, 7, 10, 7, 6, 5, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 0, 0, 0, 0, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 7, 7, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 2, 4, 8, 9, 6, 6, 8, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 6, 6, 4, 2, 5, 4, 3, 2, 2, 2, 3, 3, 8, 8, 7, 6, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 15, 22, 17, 4, 2, 8, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 4, 4, 5, 6, 5, 4, 3, 3, 4, 5, 5, 4, 3, 3, 5, 5, 4, 4, 4, 4, 5, 5, 8, 7, 6, 5, 5, 5, 5, 6, 4, 5, 5, 5, 6, 6, 6, 7, 4, 4, 4, 4, 5, 5, 5, 5, 7, 7, 7, 7, 8, 8, 8, 8, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 5, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 8, 7, 7, 8, 10, 10, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 4, 0, 6, 0, 4, 16, 7, 8, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 5, 4, 8, 12, 10, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 7, 7, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 4, 3, 4, 5, 3, 3, 4, 5, 5, 6, 7, 7, 8, 7, 5, 3, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 5, 7, 8, 9, 7, 7, 6, 6, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 6, 7, 9, 8, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 6, 3, 2, 4, 4, 2, 2, 5, 5, 5, 5, 5, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 0, 18, 1, 8, 4, 10, 0, 2, 4, 5, 7, 6, 4, 2, 0, 2, 5, 8, 10, 10, 9, 6, 5, 1, 7, 7, 3, 4, 12, 13, 9, 7, 7, 6, 6, 6, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 3, 3, 3, 3, 4, 5, 6, 6, 5, 4, 5, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 6, 7, 7, 8, 6, 8, 9, 8, 6, 4, 4, 4, 6, 5, 4, 4, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 3, 4, 5, 6, 7, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 4, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 4, 5, 8, 10, 9, 8, 7, 5, 4, 4, 4, 4, 2, 4, 6, 7, 7, 6, 4, 2, 10, 33, 6, 2, 9, 0, 7, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 7, 7, 7, 7, 6, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 2, 3, 8, 8, 6, 5, 8, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 6, 6, 4, 2, 5, 5, 4, 3, 2, 2, 3, 3, 7, 7, 7, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 10, 16, 12, 3, 2, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 4, 5, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 7, 5, 4, 3, 3, 4, 5, 7, 8, 7, 6, 5, 5, 5, 6, 6, 5, 5, 6, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 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5, 5, 5, 5, 10, 8, 6, 4, 5, 6, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 6, 6, 6, 3, 5, 7, 7, 5, 4, 4, 5, 4, 17, 7, 11, 3, 1, 9, 4, 7, 4, 3, 3, 5, 6, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 7, 7, 5, 4, 3, 7, 7, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 5, 3, 2, 3, 4, 5, 3, 5, 5, 1, 1, 5, 7, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 6, 7, 7, 7, 6, 5, 5, 5, 5, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 3, 3, 3, 2, 3, 4, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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4, 5, 12, 0, 11, 0, 7, 0, 17, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 5, 4, 3, 3, 2, 2, 3, 3, 4, 5, 5, 6, 5, 6, 7, 8, 8, 7, 6, 5, 0, 3, 6, 5, 5, 7, 12, 17, 8, 7, 6, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 5, 4, 3, 1, 5, 18, 31, 10, 8, 6, 6, 7, 7, 6, 4, 4, 5, 5, 5, 6, 6, 6, 7, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 5, 5, 5, 6, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 4, 4, 6, 7, 6, 5, 6, 8, 9, 8, 7, 7, 8, 9, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 6, 8, 8, 6, 4, 7, 6, 4, 3, 3, 4, 6, 7, 9, 8, 7, 6, 5, 4, 3, 3, 12, 11, 10, 8, 6, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 3, 5, 8, 6, 2, 2, 6, 2, 2, 5, 7, 5, 0, 2, 8, 9, 7, 5, 5, 5, 5, 3, 1, 4, 5, 5, 6, 6, 5, 5, 4, 2, 4, 7, 8, 8, 7, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 8, 11, 13, 12, 9, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 2, 3, 5, 4, 2, 5, 10, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 3, 5, 7, 7, 5, 4, 4, 5, 8, 5, 20, 9, 3, 4, 0, 11, 8, 6, 4, 4, 6, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 4, 18, 18, 12, 5, 2, 5, 6, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 7, 6, 4, 3, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 12, 5, 14, 44, 159, 187, 66, 29, 8, 7, 6, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 6, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 6, 3, 4, 9, 11, 8, 6, 11, 16, 14, 7, 3, 4, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 2, 3, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 7, 10, 11, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 6, 5, 3, 2, 4, 6, 16, 0, 13, 43, 1, 0, 8, 14, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 4, 3, 3, 3, 3, 3, 4, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 8, 7, 5, 7, 12, 18, 9, 7, 6, 4, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 5, 4, 12, 35, 57, 10, 8, 5, 5, 7, 7, 5, 2, 3, 4, 4, 4, 5, 5, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 6, 4, 4, 5, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 7, 8, 8, 9, 7, 6, 5, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 4, 4, 6, 8, 7, 5, 6, 5, 5, 6, 8, 9, 9, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 7, 9, 9, 6, 4, 7, 6, 4, 3, 3, 4, 6, 7, 8, 7, 7, 6, 6, 5, 4, 4, 13, 11, 9, 7, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 6, 8, 6, 1, 0, 4, 0, 1, 5, 9, 6, 1, 1, 6, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 5, 8, 12, 14, 12, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 11, 9, 8, 6, 1, 0, 8, 20, 4, 4, 4, 4, 4, 4, 4, 4, 10, 8, 6, 4, 2, 2, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 7, 6, 6, 6, 6, 6, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 3, 12, 27, 20, 0, 47, 0, 10, 7, 5, 4, 5, 7, 8, 8, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 11, 13, 12, 7, 5, 7, 7, 3, 3, 4, 5, 6, 7, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 6, 7, 7, 7, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 9, 8, 7, 6, 4, 3, 2, 1, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 6, 5, 4, 3, 3, 4, 5, 6, 7, 7, 7, 7, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 4, 5, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 1, 3, 4, 4, 5, 5, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 7, 5, 8, 14, 62, 245, 255, 68, 15, 10, 9, 8, 6, 5, 4, 4, 4, 3, 3, 3, 3, 3, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 7, 8, 4, 6, 12, 14, 11, 7, 15, 22, 19, 10, 4, 5, 10, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 6, 6, 7, 7, 8, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 2, 2, 3, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 9, 10, 9, 6, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 8, 7, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 6, 5, 3, 2, 4, 6, 2, 5, 19, 128, 15, 27, 0, 10, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 7, 8, 8, 6, 5, 5, 4, 4, 5, 5, 6, 8, 10, 11, 7, 2, 2, 6, 11, 9, 8, 6, 4, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 6, 10, 9, 2, 4, 24, 47, 10, 7, 4, 4, 6, 6, 3, 1, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 6, 4, 3, 4, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 7, 9, 12, 13, 14, 8, 7, 5, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 6, 3, 4, 7, 8, 7, 5, 6, 3, 2, 4, 8, 10, 9, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 7, 9, 9, 7, 4, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 5, 4, 5, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 8, 6, 6, 7, 5, 1, 1, 6, 5, 4, 6, 9, 8, 2, 1, 3, 3, 2, 2, 4, 6, 8, 8, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 3, 3, 4, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 0, 2, 5, 9, 11, 9, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 5, 5, 5, 2, 4, 21, 40, 4, 4, 4, 4, 4, 4, 4, 4, 12, 10, 6, 3, 1, 1, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 6, 6, 6, 6, 8, 7, 7, 6, 6, 5, 5, 4, 3, 5, 7, 7, 5, 4, 4, 5, 9, 4, 0, 12, 10, 126, 23, 0, 4, 3, 2, 3, 5, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 9, 6, 4, 4, 6, 9, 10, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 11, 9, 5, 3, 2, 2, 4, 5, 0, 3, 6, 6, 7, 9, 8, 3, 2, 3, 5, 6, 7, 6, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 6, 7, 9, 10, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 8, 7, 5, 4, 3, 4, 5, 6, 5, 6, 6, 7, 7, 6, 6, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 9, 7, 6, 5, 4, 4, 4, 6, 5, 5, 4, 4, 3, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 7, 6, 5, 5, 5, 5, 6, 7, 7, 8, 8, 7, 7, 6, 10, 9, 7, 6, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 6, 5, 5, 4, 4, 3, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 3, 3, 4, 4, 3, 1, 7, 5, 3, 1, 1, 3, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 0, 11, 44, 81, 88, 51, 9, 7, 7, 7, 6, 6, 5, 5, 5, 9, 8, 6, 5, 4, 5, 6, 7, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 1, 3, 5, 8, 10, 11, 11, 10, 1, 20, 29, 17, 4, 2, 5, 4, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 6, 7, 5, 5, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 8, 5, 6, 7, 7, 5, 5, 6, 7, 7, 6, 5, 5, 7, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 12, 10, 7, 6, 6, 6, 5, 4, 5, 5, 5, 4, 4, 3, 3, 2, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 6, 6, 7, 8, 9, 8, 7, 7, 6, 6, 7, 7, 4, 5, 7, 8, 8, 7, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 7, 11, 15, 14, 10, 5, 1, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 6, 8, 9, 4, 4, 4, 5, 5, 6, 6, 6, 5, 9, 8, 2, 2, 8, 6, 0, 7, 7, 5, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 4, 4, 3, 3, 4, 4, 5, 8, 7, 5, 3, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 7, 5, 3, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 3, 2, 1, 2, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 12, 1, 1, 11, 7, 0, 13, 40, 7, 7, 7, 6, 5, 4, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 2, 1, 3, 5, 7, 8, 7, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 7, 8, 9, 9, 8, 7, 5, 4, 4, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 10, 12, 0, 15, 7, 6, 8, 7, 7, 6, 6, 7, 7, 8, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 3, 4, 5, 1, 2, 4, 5, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 6, 11, 11, 6, 1, 3, 4, 6, 7, 7, 6, 4, 3, 7, 7, 6, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 7, 5, 5, 4, 5, 5, 1, 3, 5, 7, 7, 8, 9, 10, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 4, 5, 7, 7, 5, 3, 9, 8, 6, 5, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 6, 12, 17, 18, 12, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 3, 7, 6, 2, 5, 13, 16, 14, 7, 6, 6, 5, 5, 6, 6, 7, 5, 4, 3, 2, 3, 5, 8, 10, 20, 21, 17, 10, 8, 11, 9, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 4, 4, 3, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 7, 8, 9, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 6, 5, 5, 5, 5, 6, 7, 6, 5, 4, 4, 4, 4, 5, 7, 6, 5, 4, 3, 4, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 4, 3, 4, 5, 6, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 8, 7, 6, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 5, 4, 4, 5, 5, 4, 2, 7, 5, 4, 2, 2, 4, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 10, 17, 27, 29, 18, 3, 7, 7, 6, 6, 6, 5, 5, 5, 8, 7, 6, 5, 4, 5, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 3, 4, 6, 7, 8, 8, 8, 7, 0, 11, 16, 10, 5, 9, 10, 5, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 3, 4, 4, 5, 6, 7, 8, 9, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 5, 6, 7, 7, 5, 7, 8, 7, 5, 4, 5, 7, 7, 5, 4, 5, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 6, 7, 7, 7, 6, 6, 5, 4, 4, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 8, 9, 8, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 6, 7, 9, 5, 4, 4, 4, 5, 5, 6, 7, 1, 1, 4, 7, 6, 4, 7, 12, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 8, 7, 5, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 7, 5, 3, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 2, 2, 8, 3, 0, 3, 20, 6, 6, 6, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 2, 3, 5, 7, 7, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 6, 7, 8, 8, 7, 7, 5, 5, 5, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 1, 13, 9, 0, 0, 11, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 5, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 3, 7, 13, 15, 11, 7, 4, 4, 6, 6, 6, 6, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 3, 4, 5, 4, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 3, 2, 2, 2, 2, 2, 1, 0, 8, 7, 6, 4, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 7, 10, 10, 6, 2, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 5, 5, 3, 3, 4, 5, 3, 7, 6, 2, 4, 11, 14, 12, 7, 6, 6, 5, 5, 6, 6, 7, 5, 4, 3, 2, 3, 5, 7, 9, 34, 29, 17, 4, 0, 6, 9, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 6, 5, 4, 4, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 3, 3, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 3, 3, 3, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 4, 4, 4, 4, 5, 5, 3, 3, 3, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 5, 6, 6, 5, 3, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 0, 0, 1, 7, 10, 7, 6, 6, 6, 5, 5, 5, 5, 8, 7, 6, 5, 4, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 0, 4, 4, 2, 6, 13, 12, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 6, 5, 4, 4, 2, 2, 3, 5, 6, 8, 9, 10, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 7, 8, 7, 5, 3, 4, 5, 6, 4, 3, 4, 5, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 7, 10, 10, 8, 6, 7, 9, 5, 5, 5, 5, 6, 6, 6, 6, 8, 8, 7, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 6, 5, 3, 2, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 3, 3, 3, 2, 2, 4, 5, 6, 7, 7, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 6, 7, 8, 6, 5, 4, 3, 4, 5, 7, 8, 6, 1, 5, 13, 11, 2, 6, 18, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 8, 7, 5, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 7, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 8, 5, 1, 2, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 2, 4, 5, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 0, 11, 0, 6, 13, 0, 5, 12, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 7, 6, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 4, 7, 12, 13, 11, 7, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 8, 8, 8, 8, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 5, 5, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 4, 3, 2, 3, 5, 6, 6, 5, 4, 3, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 4, 2, 1, 4, 4, 4, 5, 5, 6, 6, 6, 2, 3, 5, 4, 2, 2, 3, 4, 4, 6, 5, 2, 3, 7, 9, 8, 7, 6, 6, 5, 5, 6, 6, 7, 6, 5, 4, 3, 3, 5, 6, 7, 32, 25, 13, 1, 0, 3, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 3, 2, 3, 4, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 3, 3, 4, 4, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 3, 3, 3, 4, 5, 6, 7, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 8, 6, 5, 5, 7, 7, 6, 5, 5, 6, 7, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 2, 0, 5, 13, 13, 9, 6, 6, 6, 5, 5, 5, 4, 4, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 5, 6, 3, 0, 4, 10, 8, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 8, 7, 7, 7, 6, 6, 5, 5, 3, 3, 4, 5, 6, 7, 7, 8, 3, 4, 6, 8, 8, 6, 4, 3, 4, 3, 3, 3, 3, 4, 5, 6, 6, 7, 8, 6, 4, 3, 3, 5, 5, 4, 2, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 13, 18, 16, 11, 6, 7, 9, 5, 5, 5, 6, 6, 7, 7, 8, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 2, 2, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 7, 6, 5, 4, 3, 3, 5, 7, 8, 9, 6, 6, 8, 7, 3, 3, 6, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 5, 6, 10, 9, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 10, 4, 4, 8, 16, 2, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 4, 5, 6, 7, 7, 6, 4, 3, 9, 8, 6, 5, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 7, 7, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 7, 7, 8, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 9, 10, 3, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 7, 8, 8, 6, 4, 3, 5, 8, 5, 5, 4, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 7, 6, 4, 4, 5, 7, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 5, 5, 3, 3, 4, 5, 5, 5, 4, 3, 3, 4, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 7, 6, 5, 4, 4, 4, 5, 6, 11, 10, 7, 5, 5, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 8, 7, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 4, 4, 3, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 5, 6, 8, 8, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 3, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 5, 5, 6, 7, 8, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 5, 7, 8, 7, 5, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 10, 13, 6, 0, 6, 6, 5, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 6, 8, 7, 3, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 4, 4, 2, 4, 6, 7, 7, 6, 4, 2, 4, 3, 3, 3, 3, 4, 5, 6, 5, 6, 7, 6, 4, 3, 3, 5, 5, 4, 2, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 8, 12, 11, 5, 1, 1, 4, 5, 5, 5, 6, 6, 7, 7, 8, 4, 4, 3, 3, 3, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 4, 5, 6, 6, 5, 4, 3, 2, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 4, 3, 4, 5, 6, 7, 3, 7, 3, 0, 5, 17, 13, 0, 6, 5, 4, 4, 4, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 2, 0, 2, 9, 9, 4, 2, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 4, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 18, 0, 18, 13, 0, 16, 9, 0, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 3, 4, 6, 7, 7, 6, 5, 4, 9, 8, 6, 5, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 6, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 8, 9, 11, 12, 4, 2, 0, 0, 2, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 6, 5, 6, 9, 11, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 7, 7, 5, 5, 6, 7, 6, 4, 3, 4, 3, 2, 2, 3, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 5, 5, 4, 4, 5, 5, 1, 1, 4, 8, 10, 8, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 3, 3, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 2, 2, 2, 3, 4, 6, 7, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 6, 5, 4, 4, 6, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 10, 9, 8, 6, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 6, 6, 7, 8, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 4, 5, 5, 7, 7, 7, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 5, 6, 7, 6, 5, 4, 5, 6, 7, 7, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 10, 6, 2, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 3, 6, 7, 6, 3, 4, 7, 9, 4, 4, 4, 4, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 3, 3, 4, 4, 5, 6, 7, 7, 6, 6, 5, 5, 4, 3, 3, 2, 3, 4, 5, 6, 6, 5, 4, 3, 4, 4, 4, 3, 4, 5, 6, 6, 3, 5, 6, 5, 4, 3, 4, 6, 6, 4, 3, 4, 5, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 6, 6, 3, 2, 3, 5, 5, 5, 5, 5, 6, 6, 6, 6, 3, 3, 2, 2, 2, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 2, 4, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 5, 6, 8, 8, 7, 6, 5, 5, 6, 7, 8, 7, 6, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 6, 7, 7, 5, 4, 2, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 1, 8, 4, 0, 13, 36, 33, 10, 5, 5, 4, 4, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 5, 2, 4, 8, 8, 6, 3, 3, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 7, 6, 15, 0, 12, 0, 11, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 3, 4, 5, 6, 6, 6, 5, 5, 7, 6, 6, 5, 5, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 7, 8, 8, 9, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 7, 9, 10, 11, 16, 11, 6, 5, 6, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 5, 7, 9, 10, 8, 7, 5, 5, 5, 6, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 3, 5, 7, 8, 9, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 8, 8, 6, 5, 7, 8, 6, 3, 3, 5, 4, 1, 1, 3, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 4, 7, 9, 7, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 5, 5, 5, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 3, 3, 4, 4, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 6, 7, 6, 5, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 8, 6, 5, 6, 7, 8, 7, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 5, 7, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 8, 7, 6, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 7, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 3, 2, 3, 6, 7, 6, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 5, 8, 3, 0, 4, 9, 11, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 5, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 8, 7, 5, 4, 3, 3, 3, 4, 2, 3, 5, 6, 5, 5, 6, 8, 4, 4, 5, 5, 6, 6, 7, 7, 3, 3, 4, 5, 5, 6, 7, 7, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 6, 7, 7, 1, 3, 4, 5, 4, 4, 5, 7, 7, 5, 4, 5, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 6, 5, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 6, 8, 9, 10, 9, 7, 6, 5, 6, 7, 8, 8, 6, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 5, 4, 3, 2, 3, 5, 7, 7, 6, 5, 4, 5, 8, 5, 4, 18, 34, 31, 17, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 5, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 7, 9, 8, 6, 7, 9, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 4, 3, 4, 6, 7, 7, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 93, 21, 13, 4, 11, 0, 18, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 6, 7, 8, 8, 4, 4, 4, 4, 5, 5, 6, 7, 3, 4, 4, 5, 5, 5, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 3, 3, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 8, 9, 6, 6, 4, 4, 4, 4, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 7, 8, 20, 15, 9, 7, 9, 9, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 8, 6, 6, 11, 17, 19, 14, 9, 5, 6, 7, 7, 7, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 3, 1, 3, 7, 8, 6, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 7, 7, 5, 5, 6, 7, 6, 2, 2, 6, 6, 2, 1, 4, 7, 6, 6, 5, 5, 6, 6, 7, 3, 3, 4, 5, 6, 6, 6, 6, 11, 5, 3, 7, 8, 5, 3, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 6, 4, 2, 2, 1, 1, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 6, 7, 6, 5, 3, 2, 5, 6, 6, 7, 7, 6, 6, 5, 8, 7, 6, 6, 8, 9, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 8, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 3, 3, 3, 3, 3, 2, 3, 3, 4, 4, 3, 3, 2, 10, 9, 7, 6, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 8, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 2, 2, 3, 5, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 9, 7, 3, 1, 5, 9, 5, 0, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 5, 6, 5, 4, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 11, 10, 7, 4, 3, 2, 2, 2, 5, 3, 2, 5, 6, 5, 3, 2, 5, 5, 5, 6, 6, 7, 7, 8, 3, 3, 4, 4, 6, 6, 7, 7, 5, 4, 4, 3, 2, 2, 1, 1, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 5, 6, 6, 7, 8, 0, 2, 4, 4, 4, 4, 6, 8, 7, 6, 5, 5, 7, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 10, 7, 5, 4, 4, 4, 3, 2, 5, 5, 5, 4, 4, 3, 3, 2, 10, 9, 6, 4, 3, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 9, 10, 11, 10, 8, 7, 4, 5, 7, 8, 7, 6, 3, 2, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 4, 3, 3, 3, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 5, 4, 3, 1, 3, 6, 8, 9, 7, 5, 3, 8, 3, 0, 4, 10, 13, 10, 6, 4, 4, 4, 4, 4, 5, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 7, 5, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 3, 2, 1, 2, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 0, 3, 9, 8, 2, 2, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 4, 3, 4, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 28, 206, 64, 17, 12, 18, 2, 8, 4, 3, 3, 2, 2, 3, 3, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 6, 7, 7, 8, 9, 5, 4, 3, 3, 4, 5, 7, 8, 1, 2, 4, 5, 6, 5, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 3, 3, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 4, 2, 1, 2, 3, 7, 6, 4, 3, 3, 4, 6, 7, 7, 7, 6, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 8, 8, 8, 8, 8, 7, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 11, 6, 0, 0, 3, 6, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 1, 1, 8, 18, 20, 13, 5, 6, 6, 7, 8, 8, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 10, 6, 3, 5, 9, 10, 6, 1, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 6, 2, 2, 7, 7, 2, 1, 5, 7, 6, 6, 5, 5, 6, 6, 7, 2, 2, 4, 5, 6, 7, 7, 7, 3, 0, 2, 9, 11, 5, 0, 1, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 8, 7, 5, 4, 3, 3, 5, 5, 5, 6, 6, 7, 7, 7, 2, 3, 3, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 3, 3, 4, 4, 3, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 5, 4, 3, 1, 3, 5, 7, 8, 7, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 1, 4, 4, 2, 2, 5, 4, 0, 4, 7, 8, 7, 5, 4, 6, 8, 5, 6, 7, 6, 4, 3, 4, 5, 2, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 2, 2, 2, 3, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 10, 9, 6, 4, 5, 8, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 0, 3, 6, 6, 4, 3, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 2, 4, 5, 5, 5, 5, 6, 8, 5, 5, 5, 6, 6, 7, 7, 7, 5, 6, 6, 7, 7, 6, 6, 5, 3, 5, 7, 7, 5, 4, 4, 5, 9, 10, 10, 8, 5, 4, 5, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 6, 5, 5, 6, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 4, 3, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 6, 5, 5, 4, 4, 3, 3, 2, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 7, 6, 5, 4, 4, 8, 8, 7, 6, 6, 5, 4, 4, 6, 6, 7, 7, 7, 6, 5, 5, 9, 8, 7, 6, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 3, 3, 2, 2, 3, 5, 6, 6, 5, 3, 2, 2, 3, 4, 4, 6, 6, 7, 8, 3, 2, 2, 2, 3, 5, 7, 8, 6, 3, 5, 11, 12, 6, 5, 8, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 20, 24, 21, 11, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 3, 1, 2, 6, 9, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 2, 5, 7, 7, 6, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 6, 6, 3, 6, 9, 8, 5, 4, 5, 7, 3, 4, 5, 6, 5, 4, 3, 2, 1, 19, 11, 3, 19, 14, 0, 5, 7, 6, 6, 6, 8, 11, 14, 16, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 7, 7, 5, 4, 3, 7, 5, 3, 2, 3, 6, 10, 12, 5, 6, 6, 7, 6, 5, 3, 2, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 5, 6, 5, 4, 2, 1, 5, 5, 5, 5, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 2, 2, 3, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 6, 4, 2, 2, 2, 15, 0, 18, 15, 0, 4, 2, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 5, 2, 4, 6, 7, 7, 6, 5, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 3, 2, 6, 10, 7, 1, 3, 5, 7, 6, 4, 3, 4, 6, 5, 6, 7, 6, 4, 3, 4, 5, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 7, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 6, 3, 2, 3, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 1, 4, 7, 7, 5, 4, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 5, 6, 6, 4, 4, 5, 7, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 6, 6, 6, 6, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 8, 9, 9, 7, 5, 3, 4, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 4, 4, 4, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 5, 5, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 5, 4, 3, 3, 2, 5, 5, 4, 3, 3, 3, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 5, 5, 6, 6, 6, 6, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 4, 4, 5, 7, 9, 10, 10, 8, 10, 15, 16, 11, 10, 12, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 7, 11, 11, 6, 4, 7, 8, 5, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 3, 1, 2, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 2, 5, 7, 7, 6, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 7, 7, 2, 5, 7, 7, 4, 3, 4, 6, 0, 2, 3, 5, 6, 6, 6, 5, 9, 0, 0, 25, 0, 0, 3, 18, 7, 6, 4, 3, 3, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 5, 4, 3, 2, 3, 5, 7, 9, 5, 5, 6, 7, 6, 5, 3, 2, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 5, 6, 5, 4, 3, 2, 4, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 6, 5, 3, 3, 4, 5, 7, 19, 17, 0, 19, 16, 2, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 7, 7, 8, 8, 8, 8, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 7, 8, 8, 8, 7, 4, 5, 6, 7, 7, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 4, 3, 6, 10, 8, 2, 3, 4, 5, 5, 3, 2, 4, 5, 5, 6, 7, 6, 4, 3, 4, 5, 2, 3, 4, 5, 5, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 7, 8, 8, 9, 9, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 5, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 2, 4, 6, 7, 5, 5, 5, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 6, 7, 6, 4, 3, 4, 6, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 3, 5, 7, 7, 5, 4, 4, 5, 6, 7, 8, 6, 4, 3, 3, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 5, 5, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 4, 4, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 5, 5, 4, 4, 3, 4, 4, 5, 6, 7, 7, 8, 9, 8, 5, 3, 1, 1, 1, 1, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 7, 7, 6, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 6, 5, 6, 10, 11, 7, 6, 8, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 0, 3, 6, 4, 3, 5, 6, 5, 3, 3, 4, 4, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 5, 7, 7, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 6, 6, 7, 8, 2, 4, 5, 5, 4, 3, 3, 4, 2, 3, 4, 5, 6, 6, 5, 5, 7, 15, 11, 1, 28, 25, 10, 0, 6, 5, 4, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 5, 6, 7, 7, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 8, 7, 6, 5, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 6, 5, 4, 3, 2, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 6, 6, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 3, 4, 7, 9, 4, 20, 25, 14, 12, 1, 10, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 7, 3, 3, 4, 4, 5, 5, 5, 5, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 7, 9, 9, 9, 9, 5, 6, 6, 6, 6, 5, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 2, 7, 9, 5, 3, 5, 5, 3, 4, 4, 5, 5, 4, 4, 4, 5, 4, 6, 7, 6, 4, 3, 4, 6, 2, 3, 4, 5, 5, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 5, 7, 8, 9, 8, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 7, 7, 6, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 5, 7, 7, 5, 4, 4, 5, 4, 5, 6, 6, 4, 2, 2, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 7, 8, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 4, 4, 6, 6, 5, 4, 2, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 9, 7, 5, 2, 1, 2, 3, 4, 5, 5, 5, 5, 6, 7, 8, 9, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 4, 4, 5, 6, 6, 6, 7, 6, 5, 4, 4, 5, 6, 7, 6, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 5, 6, 1, 1, 2, 4, 4, 3, 2, 3, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 9, 8, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 2, 5, 8, 7, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 6, 8, 8, 5, 6, 9, 13, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 5, 7, 6, 5, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 6, 6, 7, 3, 4, 5, 5, 5, 4, 4, 4, 7, 7, 6, 6, 5, 3, 2, 2, 12, 2, 0, 16, 0, 0, 0, 9, 5, 4, 4, 5, 6, 8, 10, 11, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 6, 8, 9, 3, 4, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 3, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 9, 12, 48, 255, 198, 44, 1, 14, 0, 15, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 6, 6, 7, 5, 5, 5, 5, 6, 6, 7, 7, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 2, 3, 4, 4, 4, 4, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 7, 9, 9, 9, 9, 6, 6, 6, 6, 5, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 13, 18, 11, 2, 0, 3, 6, 6, 6, 5, 5, 6, 6, 6, 5, 4, 5, 6, 6, 4, 4, 5, 6, 2, 3, 4, 5, 5, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 6, 7, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 7, 7, 6, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 5, 7, 7, 5, 4, 4, 5, 2, 4, 6, 6, 4, 2, 2, 3, 4, 5, 5, 6, 6, 5, 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5, 5, 7, 7, 8, 9, 9, 8, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 2, 5, 15, 16, 9, 16, 0, 4, 7, 7, 5, 5, 8, 6, 2, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 6, 13, 12, 0, 9, 0, 0, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 3, 4, 5, 6, 6, 6, 5, 5, 6, 4, 4, 5, 7, 8, 7, 5, 35, 43, 20, 10, 9, 2, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 7, 6, 3, 1, 6, 6, 6, 5, 4, 3, 3, 2, 2, 4, 7, 9, 10, 8, 6, 4, 5, 5, 4, 4, 4, 3, 3, 3, 5, 3, 7, 11, 7, 0, 2, 12, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 6, 6, 4, 2, 2, 3, 3, 3, 4, 5, 5, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 3, 4, 5, 5, 6, 6, 6, 5, 5, 4, 3, 4, 7, 8, 7, 6, 5, 1, 0, 4, 6, 5, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 6, 7, 6, 5, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 5, 7, 8, 5, 4, 3, 3, 3, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 3, 5, 6, 5, 4, 3, 4, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 6, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 6, 6, 6, 5, 5, 9, 7, 5, 5, 7, 7, 7, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 4, 4, 4, 5, 6, 9, 8, 5, 3, 3, 4, 6, 8, 3, 4, 5, 3, 2, 1, 3, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 3, 3, 3, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 9, 14, 13, 7, 3, 4, 6, 6, 6, 7, 10, 13, 5, 35, 5, 9, 7, 19, 8, 22, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 6, 5, 5, 5, 5, 6, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 7, 8, 7, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 7, 5, 4, 4, 5, 5, 4, 2, 5, 5, 5, 5, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 7, 7, 6, 5, 5, 4, 3, 3, 7, 6, 4, 3, 3, 4, 6, 7, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 15, 15, 11, 5, 3, 7, 9, 7, 7, 5, 3, 2, 3, 5, 7, 9, 43, 21, 3, 3, 9, 8, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 9, 9, 5, 3, 5, 5, 5, 5, 5, 6, 7, 8, 9, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 6, 6, 5, 5, 4, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 0, 8, 2, 6, 39, 41, 29, 15, 9, 6, 6, 7, 5, 2, 3, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 6, 6, 7, 8, 4, 3, 3, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 7, 18, 14, 0, 23, 3, 0, 13, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 4, 5, 4, 3, 4, 6, 7, 6, 5, 38, 45, 21, 10, 8, 0, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 6, 8, 8, 6, 3, 6, 5, 5, 4, 4, 4, 5, 5, 9, 8, 6, 3, 2, 4, 8, 11, 5, 5, 5, 5, 4, 4, 3, 3, 10, 2, 2, 7, 4, 0, 14, 36, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 4, 4, 6, 9, 5, 5, 5, 4, 5, 5, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 2, 3, 5, 6, 7, 6, 5, 4, 5, 5, 5, 6, 7, 7, 6, 5, 4, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 6, 7, 6, 5, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 6, 3, 4, 4, 5, 5, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 2, 3, 5, 8, 10, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 5, 4, 5, 6, 6, 4, 3, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 5, 5, 5, 11, 9, 6, 5, 6, 7, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 10, 9, 8, 6, 6, 6, 6, 6, 5, 3, 3, 4, 5, 5, 4, 5, 5, 4, 3, 2, 2, 3, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 3, 2, 3, 5, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 5, 3, 5, 8, 6, 1, 3, 3, 3, 5, 7, 8, 7, 7, 18, 174, 53, 6, 9, 0, 0, 10, 4, 5, 5, 5, 6, 5, 5, 5, 9, 7, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 9, 10, 9, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 5, 4, 5, 5, 5, 7, 6, 5, 7, 8, 9, 7, 5, 6, 6, 5, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 8, 6, 4, 2, 2, 4, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 10, 11, 9, 3, 1, 4, 5, 3, 5, 4, 3, 2, 2, 4, 6, 7, 0, 0, 7, 14, 11, 4, 4, 10, 6, 5, 4, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 5, 9, 9, 5, 4, 6, 4, 4, 4, 4, 5, 7, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 0, 5, 1, 17, 104, 255, 55, 21, 11, 4, 1, 5, 7, 4, 6, 10, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 6, 6, 7, 8, 4, 3, 3, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 15, 71, 50, 15, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 5, 4, 4, 5, 4, 3, 4, 6, 7, 6, 5, 9, 20, 3, 0, 5, 0, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 5, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 8, 9, 5, 5, 4, 2, 0, 0, 4, 8, 7, 7, 6, 6, 5, 5, 5, 5, 7, 0, 0, 6, 4, 2, 17, 39, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 6, 12, 16, 9, 8, 6, 4, 3, 3, 3, 4, 7, 6, 5, 4, 4, 4, 4, 5, 2, 3, 5, 6, 7, 6, 5, 4, 5, 6, 6, 6, 5, 4, 3, 3, 5, 6, 7, 6, 5, 6, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 2, 3, 4, 5, 6, 7, 4, 4, 4, 4, 5, 6, 6, 7, 8, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 6, 7, 6, 5, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 4, 5, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 2, 3, 5, 8, 10, 6, 6, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 4, 5, 7, 6, 4, 4, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 10, 7, 4, 3, 4, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 10, 11, 12, 11, 8, 6, 4, 4, 4, 5, 7, 9, 9, 5, 2, 6, 5, 4, 3, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 4, 7, 5, 0, 3, 2, 2, 4, 7, 8, 6, 3, 57, 226, 103, 34, 22, 10, 7, 11, 4, 5, 6, 6, 6, 5, 4, 4, 8, 7, 5, 3, 3, 3, 4, 5, 4, 4, 4, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 7, 10, 11, 10, 8, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 6, 7, 6, 6, 8, 9, 10, 8, 6, 7, 6, 5, 4, 4, 5, 5, 6, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 6, 4, 2, 2, 4, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 6, 7, 3, 3, 5, 4, 0, 4, 3, 2, 2, 3, 4, 5, 6, 4, 6, 8, 7, 1, 0, 7, 17, 6, 6, 5, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 5, 9, 9, 5, 4, 6, 3, 2, 2, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 6, 5, 5, 4, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 3, 3, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 6, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 8, 10, 2, 26, 139, 252, 57, 10, 10, 4, 0, 2, 6, 7, 7, 8, 5, 5, 5, 5, 6, 6, 6, 6, 3, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 1, 6, 19, 63, 42, 16, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 5, 3, 2, 3, 5, 6, 6, 4, 0, 11, 0, 0, 5, 1, 6, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7, 7, 5, 2, 1, 3, 5, 3, 3, 3, 3, 5, 7, 10, 11, 1, 7, 13, 15, 11, 7, 5, 4, 7, 7, 7, 6, 6, 6, 5, 5, 1, 0, 3, 8, 6, 2, 8, 20, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 13, 17, 11, 9, 7, 4, 2, 2, 2, 3, 7, 6, 5, 4, 4, 4, 4, 5, 3, 4, 5, 5, 6, 6, 6, 5, 4, 6, 6, 5, 3, 2, 3, 5, 7, 11, 11, 7, 5, 6, 7, 5, 8, 8, 7, 6, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 5, 6, 7, 7, 5, 5, 5, 5, 6, 7, 8, 9, 8, 7, 6, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 6, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 6, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 7, 8, 7, 7, 6, 5, 5, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 6, 7, 6, 5, 4, 5, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 4, 4, 4, 4, 5, 5, 7, 5, 3, 3, 4, 5, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 11, 12, 11, 9, 5, 3, 6, 5, 7, 11, 14, 13, 8, 3, 5, 4, 4, 6, 8, 8, 7, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 6, 6, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 7, 5, 6, 10, 10, 6, 4, 3, 3, 4, 6, 6, 5, 3, 7, 69, 42, 13, 0, 14, 4, 1, 4, 5, 6, 7, 7, 5, 4, 2, 6, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 7, 10, 10, 9, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 3, 3, 5, 6, 8, 6, 5, 4, 4, 6, 7, 6, 5, 6, 5, 4, 4, 4, 6, 7, 8, 3, 4, 5, 6, 6, 6, 6, 5, 3, 3, 4, 5, 5, 6, 7, 7, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 2, 6, 7, 5, 6, 8, 7, 3, 4, 3, 3, 3, 3, 4, 5, 6, 14, 7, 1, 0, 3, 7, 7, 5, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 6, 10, 10, 6, 4, 6, 3, 3, 2, 3, 3, 4, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 7, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 7, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 14, 13, 0, 41, 27, 22, 32, 11, 10, 8, 4, 4, 6, 7, 5, 5, 5, 5, 6, 6, 7, 7, 7, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 10, 4, 15, 11, 20, 0, 6, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 6, 6, 6, 6, 5, 4, 3, 4, 3, 2, 3, 5, 6, 5, 4, 2, 17, 4, 4, 8, 2, 4, 0, 6, 6, 6, 6, 6, 6, 6, 6, 2, 8, 14, 13, 7, 2, 3, 5, 5, 5, 3, 3, 4, 7, 9, 11, 3, 10, 18, 20, 16, 10, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 1, 3, 5, 6, 4, 3, 4, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 5, 5, 5, 7, 9, 10, 8, 6, 3, 2, 3, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 7, 3, 5, 6, 5, 3, 4, 8, 11, 8, 13, 14, 8, 4, 5, 6, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 8, 10, 11, 6, 5, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 6, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 8, 8, 7, 6, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 6, 5, 5, 5, 6, 7, 7, 5, 5, 6, 7, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 4, 6, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 4, 5, 5, 4, 3, 3, 4, 6, 6, 5, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 4, 4, 6, 5, 4, 8, 12, 13, 8, 3, 3, 3, 5, 8, 12, 12, 9, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 8, 6, 6, 8, 9, 6, 5, 5, 5, 5, 4, 4, 4, 5, 10, 0, 16, 23, 5, 19, 15, 7, 4, 5, 7, 7, 7, 5, 3, 2, 3, 3, 4, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 6, 7, 8, 6, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 3, 3, 3, 5, 7, 8, 7, 5, 2, 2, 3, 5, 5, 4, 5, 4, 3, 3, 4, 7, 9, 11, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 8, 7, 4, 4, 7, 8, 5, 4, 4, 4, 4, 5, 5, 6, 6, 2, 0, 0, 4, 10, 11, 5, 0, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 6, 10, 10, 6, 5, 7, 5, 5, 4, 4, 4, 5, 5, 6, 4, 4, 6, 6, 6, 6, 4, 4, 7, 7, 7, 7, 7, 6, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 9, 8, 7, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 0, 17, 0, 2, 20, 5, 1, 13, 19, 18, 8, 3, 5, 6, 4, 5, 5, 5, 6, 6, 7, 7, 7, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 9, 8, 0, 8, 9, 15, 0, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 5, 3, 3, 4, 3, 2, 3, 5, 6, 5, 4, 0, 13, 1, 2, 8, 3, 7, 4, 6, 6, 6, 6, 6, 6, 6, 6, 1, 12, 22, 23, 14, 6, 5, 7, 8, 6, 5, 4, 4, 5, 8, 9, 2, 7, 11, 10, 5, 2, 3, 6, 5, 5, 5, 4, 4, 3, 3, 3, 7, 8, 5, 0, 0, 5, 8, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 7, 8, 6, 3, 2, 1, 8, 7, 4, 3, 2, 4, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 4, 3, 4, 5, 7, 8, 2, 4, 5, 5, 4, 7, 13, 18, 8, 15, 15, 7, 2, 4, 4, 1, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 10, 9, 8, 7, 5, 4, 3, 3, 7, 7, 6, 6, 7, 9, 11, 12, 4, 3, 2, 2, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 7, 6, 6, 5, 5, 4, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 7, 7, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 5, 5, 5, 4, 5, 6, 7, 7, 5, 5, 6, 7, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 5, 4, 5, 6, 8, 9, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 3, 3, 3, 5, 8, 8, 6, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 2, 1, 2, 2, 4, 5, 5, 2, 0, 2, 7, 9, 6, 2, 2, 3, 5, 10, 15, 15, 10, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 6, 5, 4, 2, 1, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 7, 8, 4, 2, 3, 3, 0, 5, 6, 7, 5, 3, 3, 4, 7, 6, 14, 0, 14, 15, 0, 9, 0, 4, 5, 7, 8, 7, 5, 3, 1, 1, 2, 4, 5, 6, 6, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 5, 3, 1, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 3, 2, 3, 5, 7, 9, 10, 7, 3, 2, 3, 5, 5, 5, 4, 4, 3, 3, 4, 7, 10, 13, 3, 4, 5, 6, 6, 6, 6, 5, 7, 7, 6, 5, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 9, 6, 1, 0, 4, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 2, 8, 11, 8, 3, 2, 5, 8, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 6, 10, 10, 6, 5, 7, 7, 7, 6, 5, 5, 5, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 4, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 6, 7, 8, 9, 9, 6, 6, 5, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 7, 8, 8, 7, 5, 4, 8, 7, 4, 3, 3, 5, 8, 10, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 6, 8, 7, 5, 3, 3, 5, 6, 8, 8, 7, 6, 6, 11, 10, 8, 7, 6, 5, 5, 5, 9, 3, 3, 8, 8, 3, 2, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 4, 5, 5, 7, 8, 9, 10, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 2, 2, 4, 4, 4, 5, 5, 6, 6, 6, 6, 12, 5, 8, 1, 9, 26, 0, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 6, 6, 5, 4, 3, 20, 0, 0, 6, 16, 10, 6, 11, 2, 4, 6, 6, 5, 4, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 4, 7, 7, 5, 3, 7, 7, 7, 7, 7, 7, 7, 7, 9, 2, 1, 6, 6, 1, 2, 8, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 10, 10, 9, 8, 6, 4, 2, 1, 6, 5, 5, 5, 5, 5, 5, 4, 6, 7, 7, 5, 3, 2, 4, 5, 9, 8, 7, 6, 5, 4, 4, 4, 6, 5, 5, 5, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 12, 11, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 7, 5, 2, 6, 20, 32, 10, 9, 8, 6, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 13, 11, 9, 6, 5, 4, 4, 5, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 7, 5, 4, 4, 6, 8, 8, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 7, 7, 8, 8, 9, 3, 3, 3, 4, 5, 6, 7, 8, 4, 3, 1, 0, 1, 2, 5, 6, 2, 0, 0, 0, 2, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 7, 6, 5, 6, 8, 8, 6, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 2, 3, 4, 5, 6, 7, 8, 5, 3, 3, 4, 6, 6, 5, 5, 4, 3, 3, 4, 5, 7, 8, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 2, 3, 9, 12, 7, 2, 0, 4, 3, 3, 5, 6, 6, 4, 1, 2, 6, 9, 7, 3, 1, 4, 8, 12, 10, 6, 3, 2, 3, 5, 6, 2, 3, 3, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 9, 9, 7, 5, 3, 5, 4, 4, 4, 4, 5, 6, 7, 5, 4, 3, 3, 4, 5, 7, 8, 7, 7, 7, 6, 6, 6, 5, 5, 3, 3, 4, 4, 4, 4, 4, 5, 3, 4, 5, 6, 5, 4, 3, 2, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 2, 5, 4, 3, 2, 2, 4, 5, 6, 6, 6, 5, 4, 5, 6, 8, 9, 7, 6, 6, 5, 5, 6, 6, 7, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 0, 6, 11, 9, 6, 6, 6, 5, 9, 5, 4, 7, 6, 2, 4, 11, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 8, 7, 3, 2, 4, 8, 4, 4, 3, 2, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 7, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 7, 7, 6, 5, 5, 7, 6, 4, 2, 3, 5, 8, 10, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 1, 2, 4, 5, 5, 5, 4, 4, 9, 8, 7, 7, 6, 5, 5, 5, 1, 0, 2, 5, 6, 5, 5, 7, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 10, 9, 8, 7, 6, 4, 4, 3, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 3, 4, 4, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 11, 11, 1, 5, 4, 0, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 7, 7, 7, 7, 7, 0, 8, 13, 9, 8, 12, 13, 9, 3, 5, 7, 7, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 3, 4, 6, 7, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 7, 8, 6, 7, 9, 7, 4, 3, 2, 2, 1, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 4, 3, 5, 6, 8, 7, 6, 4, 3, 3, 3, 3, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 6, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 5, 7, 5, 1, 1, 7, 14, 7, 6, 5, 3, 3, 2, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 10, 9, 7, 5, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 7, 5, 4, 4, 6, 8, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 4, 3, 3, 4, 5, 6, 7, 8, 8, 6, 5, 4, 4, 6, 8, 10, 6, 8, 9, 9, 7, 6, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 6, 5, 5, 6, 7, 7, 5, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 8, 5, 3, 3, 4, 6, 6, 5, 6, 5, 4, 4, 4, 5, 6, 7, 5, 5, 6, 6, 6, 6, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 8, 5, 6, 12, 14, 10, 6, 4, 4, 3, 3, 5, 6, 6, 4, 2, 2, 6, 8, 7, 3, 2, 4, 8, 9, 7, 5, 3, 2, 3, 4, 5, 3, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 6, 6, 5, 3, 2, 1, 6, 6, 5, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 5, 5, 5, 4, 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2, 1, 0, 2, 8, 10, 8, 6, 6, 5, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 9, 13, 17, 19, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 9, 12, 0, 7, 0, 6, 44, 0, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 2, 12, 10, 4, 20, 43, 36, 8, 6, 7, 8, 7, 4, 2, 2, 3, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 0, 6, 20, 21, 9, 5, 10, 9, 8, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 6, 5, 4, 3, 3, 3, 4, 4, 2, 3, 4, 4, 6, 6, 7, 8, 7, 8, 8, 7, 6, 6, 7, 9, 7, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 6, 7, 8, 9, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 2, 3, 5, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 5, 7, 7, 5, 3, 2, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 3, 3, 2, 2, 3, 4, 4, 5, 11, 7, 3, 3, 7, 9, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 4, 6, 6, 5, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 7, 8, 8, 6, 5, 4, 5, 6, 7, 5, 3, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 1, 2, 6, 6, 3, 3, 7, 7, 5, 4, 4, 6, 6, 6, 4, 4, 5, 6, 6, 4, 4, 5, 6, 2, 3, 5, 7, 8, 8, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 3, 3, 3, 3, 3, 3, 3, 3, 7, 6, 4, 3, 3, 4, 6, 7, 5, 4, 4, 4, 4, 5, 6, 7, 3, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 8, 7, 7, 6, 5, 4, 3, 3, 7, 6, 5, 4, 5, 6, 7, 8, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 12, 11, 10, 9, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 7, 7, 6, 5, 4, 3, 2, 3, 4, 6, 7, 6, 5, 4, 3, 6, 6, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 2, 0, 11, 27, 7, 5, 4, 4, 5, 6, 4, 1, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 6, 4, 3, 5, 7, 3, 3, 3, 4, 5, 6, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 5, 6, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 10, 16, 18, 14, 8, 4, 2, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 4, 4, 5, 6, 7, 8, 25, 14, 5, 5, 7, 7, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 4, 6, 7, 9, 4, 4, 4, 4, 5, 5, 5, 5, 7, 7, 7, 6, 6, 6, 6, 5, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 8, 8, 8, 6, 6, 5, 5, 5, 5, 4, 4, 1, 8, 0, 19, 6, 27, 90, 21, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 3, 3, 0, 9, 12, 5, 0, 4, 8, 8, 5, 6, 8, 7, 5, 3, 3, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 1, 14, 39, 39, 16, 4, 10, 13, 12, 10, 8, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 9, 7, 5, 3, 2, 2, 3, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 6, 7, 6, 5, 5, 7, 9, 7, 7, 6, 5, 5, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 6, 7, 7, 7, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 6, 7, 6, 6, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 3, 5, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 4, 5, 5, 4, 3, 2, 7, 6, 6, 6, 6, 5, 5, 5, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 9, 6, 4, 4, 6, 8, 8, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 2, 2, 4, 7, 7, 6, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 6, 7, 8, 9, 5, 4, 4, 5, 7, 7, 5, 3, 5, 5, 6, 6, 6, 5, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 3, 4, 6, 5, 3, 6, 11, 8, 6, 4, 4, 5, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 8, 8, 8, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 2, 2, 3, 4, 6, 7, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 4, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 2, 3, 4, 5, 6, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 7, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 5, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 12, 12, 10, 9, 7, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 4, 4, 4, 4, 6, 7, 7, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 4, 3, 3, 7, 7, 6, 5, 5, 6, 7, 7, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 5, 2, 1, 6, 11, 6, 6, 5, 4, 7, 11, 8, 2, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 9, 7, 3, 1, 4, 8, 4, 3, 3, 3, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 6, 5, 4, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 3, 3, 4, 5, 6, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 8, 11, 11, 10, 6, 3, 0, 4, 4, 3, 2, 3, 4, 5, 6, 9, 7, 5, 4, 4, 6, 8, 10, 48, 23, 6, 9, 12, 5, 0, 3, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 1, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 8, 12, 0, 11, 0, 6, 44, 0, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 7, 6, 6, 6, 5, 4, 1, 0, 3, 8, 8, 5, 3, 5, 7, 7, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 10, 7, 5, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 13, 29, 29, 14, 4, 6, 17, 16, 14, 12, 10, 9, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 6, 7, 8, 10, 8, 6, 4, 3, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 4, 5, 7, 9, 6, 5, 5, 4, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 2, 2, 3, 3, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 5, 6, 6, 5, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 3, 2, 2, 4, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 7, 7, 7, 6, 4, 9, 13, 12, 7, 4, 4, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 4, 4, 4, 4, 6, 6, 4, 3, 3, 5, 8, 8, 7, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 5, 6, 6, 5, 4, 4, 6, 7, 7, 5, 2, 3, 4, 5, 6, 6, 6, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 6, 5, 3, 7, 13, 8, 6, 4, 4, 5, 7, 7, 6, 6, 5, 4, 5, 5, 6, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 7, 3, 4, 5, 6, 6, 6, 5, 4, 7, 6, 6, 6, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 5, 5, 4, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 7, 7, 7, 6, 5, 4, 6, 5, 5, 4, 3, 3, 3, 4, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 5, 2, 9, 17, 11, 0, 7, 8, 7, 6, 11, 16, 13, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 5, 5, 4, 5, 6, 4, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 4, 6, 6, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 7, 6, 5, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 5, 6, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 6, 5, 4, 4, 3, 1, 0, 7, 6, 5, 4, 5, 6, 8, 9, 11, 9, 6, 3, 3, 5, 9, 11, 41, 10, 0, 3, 11, 4, 1, 8, 8, 7, 5, 4, 4, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 5, 6, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 8, 8, 7, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 6, 10, 4, 7, 5, 4, 12, 1, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 8, 9, 9, 9, 7, 7, 5, 1, 3, 8, 7, 2, 2, 4, 6, 6, 5, 4, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 5, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 15, 13, 11, 9, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 7, 8, 9, 8, 6, 4, 4, 5, 6, 8, 6, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 5, 4, 4, 6, 8, 4, 4, 3, 3, 3, 4, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 1, 1, 2, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 7, 7, 6, 5, 6, 7, 7, 7, 6, 5, 5, 6, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 5, 4, 3, 1, 0, 3, 4, 4, 5, 5, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 3, 2, 2, 4, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 3, 4, 5, 5, 6, 6, 5, 5, 5, 17, 29, 27, 14, 5, 6, 12, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 4, 3, 4, 6, 8, 9, 8, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 5, 4, 4, 6, 7, 7, 5, 2, 2, 3, 5, 6, 7, 7, 6, 5, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 5, 3, 1, 6, 13, 9, 6, 4, 4, 5, 7, 7, 6, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 6, 7, 7, 6, 5, 3, 2, 7, 7, 7, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 4, 4, 5, 6, 5, 4, 2, 1, 7, 6, 6, 5, 5, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 2, 7, 6, 4, 3, 3, 4, 6, 7, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 3, 4, 4, 5, 5, 5, 4, 5, 6, 8, 8, 7, 6, 5, 7, 6, 4, 3, 2, 2, 3, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 1, 2, 19, 35, 22, 0, 2, 4, 3, 2, 8, 14, 11, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 4, 2, 3, 7, 8, 6, 2, 4, 4, 3, 2, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 8, 9, 8, 6, 5, 8, 3, 4, 8, 7, 2, 3, 8, 3, 4, 6, 7, 7, 6, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 5, 6, 6, 4, 4, 6, 7, 7, 6, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 0, 2, 4, 6, 7, 6, 4, 3, 4, 5, 7, 9, 9, 7, 5, 4, 4, 6, 8, 8, 6, 3, 3, 3, 5, 5, 4, 4, 5, 7, 9, 10, 20, 40, 21, 0, 10, 9, 0, 10, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 7, 8, 9, 10, 4, 3, 3, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 4, 5, 4, 4, 5, 7, 9, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 1, 3, 6, 6, 5, 5, 6, 7, 5, 0, 1, 5, 5, 0, 1, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 11, 10, 10, 9, 8, 7, 6, 6, 6, 6, 7, 8, 9, 10, 10, 11, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 7, 8, 9, 9, 10, 2, 5, 8, 9, 8, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 10, 11, 9, 6, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 6, 7, 6, 4, 3, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 7, 6, 6, 5, 5, 4, 4, 4, 6, 7, 8, 9, 9, 9, 1, 0, 13, 2, 16, 5, 1, 8, 4, 4, 4, 4, 4, 4, 3, 3, 4, 7, 8, 7, 3, 2, 3, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 3, 2, 6, 7, 5, 4, 6, 8, 7, 5, 4, 3, 4, 5, 6, 2, 3, 5, 7, 8, 8, 8, 7, 4, 4, 5, 6, 7, 7, 8, 9, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 3, 4, 5, 7, 8, 8, 7, 5, 4, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 0, 6, 15, 9, 11, 1, 4, 5, 5, 6, 6, 7, 7, 8, 25, 38, 31, 12, 8, 8, 5, 6, 7, 6, 4, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 7, 8, 5, 5, 9, 9, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 3, 2, 3, 5, 6, 7, 6, 5, 4, 6, 6, 5, 5, 6, 9, 12, 15, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 6, 4, 3, 3, 4, 4, 7, 7, 7, 7, 8, 9, 10, 11, 14, 11, 7, 3, 1, 0, 1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 1, 7, 12, 12, 8, 3, 2, 2, 4, 4, 3, 3, 3, 4, 5, 5, 7, 7, 7, 6, 5, 4, 2, 1, 2, 3, 4, 5, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 5, 6, 7, 6, 4, 3, 4, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 8, 7, 6, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 14, 20, 15, 5, 3, 8, 5, 5, 5, 6, 6, 7, 7, 7, 5, 6, 8, 9, 8, 6, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 2, 2, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 4, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 6, 7, 7, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 5, 3, 2, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 0, 5, 11, 14, 11, 7, 6, 6, 8, 5, 5, 9, 9, 3, 1, 4, 5, 6, 7, 7, 7, 7, 6, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 5, 5, 4, 4, 5, 6, 6, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 6, 6, 6, 6, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 1, 2, 4, 5, 6, 5, 5, 4, 3, 4, 5, 6, 6, 5, 4, 3, 4, 6, 7, 7, 5, 4, 4, 5, 12, 10, 7, 5, 4, 5, 7, 9, 35, 52, 31, 6, 12, 7, 0, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 8, 8, 9, 4, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 4, 5, 4, 4, 5, 7, 9, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 5, 7, 7, 6, 5, 5, 7, 5, 1, 0, 5, 6, 3, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 9, 8, 7, 6, 5, 5, 4, 4, 5, 6, 7, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 6, 7, 8, 8, 9, 3, 6, 8, 8, 7, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 9, 9, 7, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 6, 3, 3, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 6, 7, 8, 8, 8, 7, 17, 3, 10, 0, 0, 0, 50, 7, 5, 5, 5, 5, 5, 5, 4, 4, 4, 6, 8, 6, 4, 2, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 3, 1, 5, 6, 4, 3, 5, 7, 6, 5, 4, 3, 4, 5, 5, 3, 4, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 7, 8, 8, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 4, 4, 4, 5, 4, 5, 7, 8, 8, 7, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 8, 5, 0, 3, 3, 5, 5, 6, 6, 6, 6, 6, 7, 30, 42, 34, 16, 10, 7, 1, 2, 6, 5, 4, 3, 3, 3, 4, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 6, 7, 4, 5, 8, 8, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 3, 4, 5, 5, 6, 6, 6, 5, 6, 5, 4, 4, 5, 7, 10, 12, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 9, 7, 6, 4, 3, 3, 4, 4, 6, 6, 6, 5, 4, 4, 3, 3, 10, 8, 6, 3, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 6, 6, 6, 6, 7, 5, 4, 4, 3, 3, 4, 5, 5, 1, 2, 2, 3, 4, 4, 4, 4, 2, 3, 4, 6, 7, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 6, 7, 7, 5, 6, 7, 6, 4, 3, 4, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 11, 15, 11, 3, 2, 7, 5, 5, 5, 6, 6, 7, 7, 7, 5, 6, 7, 8, 7, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 6, 7, 7, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 2, 4, 7, 10, 11, 9, 6, 3, 8, 5, 6, 9, 9, 5, 1, 1, 6, 6, 7, 8, 8, 7, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 6, 7, 7, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 2, 2, 3, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 5, 4, 4, 6, 8, 5, 3, 1, 0, 2, 5, 9, 11, 24, 37, 22, 3, 9, 6, 0, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 5, 4, 4, 7, 9, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 7, 9, 8, 6, 5, 5, 6, 6, 1, 0, 4, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 4, 5, 6, 6, 7, 7, 4, 6, 7, 6, 5, 4, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 3, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 1, 3, 6, 8, 8, 7, 6, 5, 10, 1, 6, 3, 13, 16, 133, 47, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 5, 2, 4, 5, 3, 3, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 2, 2, 4, 4, 5, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 8, 7, 5, 4, 4, 4, 5, 6, 4, 5, 6, 7, 7, 6, 5, 4, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 5, 1, 4, 4, 10, 6, 5, 6, 6, 6, 6, 5, 5, 5, 5, 9, 22, 18, 7, 7, 7, 3, 5, 5, 4, 4, 3, 4, 4, 5, 6, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 6, 4, 4, 7, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 5, 4, 4, 4, 5, 5, 6, 7, 6, 5, 4, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 5, 3, 2, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 4, 4, 4, 4, 4, 4, 5, 5, 6, 5, 3, 1, 0, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 11, 8, 5, 4, 6, 7, 5, 3, 5, 5, 4, 4, 4, 4, 5, 5, 1, 1, 2, 3, 4, 5, 5, 6, 4, 4, 5, 6, 7, 9, 11, 12, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 4, 3, 2, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 7, 5, 6, 7, 6, 4, 3, 4, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 8, 10, 6, 1, 1, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 5, 7, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 5, 4, 4, 4, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 4, 4, 4, 4, 3, 3, 6, 3, 2, 5, 10, 10, 6, 1, 6, 5, 5, 6, 7, 5, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 6, 6, 5, 4, 7, 7, 6, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 2, 2, 3, 4, 6, 5, 5, 4, 4, 4, 5, 5, 6, 5, 5, 4, 3, 3, 4, 5, 5, 4, 5, 5, 4, 3, 4, 7, 9, 2, 2, 2, 2, 4, 6, 8, 9, 5, 16, 8, 0, 3, 5, 2, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 5, 4, 4, 6, 8, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 8, 10, 9, 7, 5, 5, 6, 7, 3, 1, 4, 8, 9, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 3, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 3, 3, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 1, 3, 6, 8, 8, 6, 4, 3, 7, 4, 4, 9, 10, 12, 100, 19, 6, 6, 7, 7, 7, 7, 8, 8, 5, 5, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 14, 8, 4, 5, 6, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 6, 8, 4, 5, 6, 6, 6, 6, 5, 4, 7, 6, 5, 3, 3, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 6, 0, 13, 1, 6, 7, 7, 6, 6, 5, 4, 4, 4, 0, 3, 3, 0, 4, 6, 4, 8, 4, 4, 4, 4, 5, 6, 6, 7, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 6, 5, 4, 3, 4, 5, 7, 8, 7, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 7, 5, 3, 1, 3, 4, 5, 5, 5, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 4, 4, 4, 4, 2, 4, 6, 9, 9, 9, 7, 6, 2, 3, 5, 6, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 3, 2, 6, 6, 5, 4, 4, 4, 5, 5, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 6, 8, 10, 11, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 8, 7, 6, 5, 4, 4, 5, 5, 5, 5, 4, 3, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 6, 6, 6, 4, 6, 7, 6, 4, 3, 4, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 3, 1, 3, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 6, 4, 4, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 4, 5, 6, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 3, 4, 6, 7, 5, 3, 4, 5, 5, 4, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 8, 8, 7, 6, 5, 5, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 5, 3, 3, 4, 6, 7, 6, 6, 5, 4, 4, 5, 5, 6, 7, 6, 5, 5, 5, 5, 6, 7, 4, 5, 5, 4, 3, 4, 7, 9, 9, 9, 10, 9, 8, 6, 4, 3, 7, 13, 9, 2, 3, 3, 2, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 5, 4, 4, 6, 8, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 8, 10, 9, 7, 5, 5, 6, 8, 7, 5, 5, 7, 9, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 5, 3, 3, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 2, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 7, 3, 4, 6, 7, 7, 5, 3, 2, 7, 8, 2, 10, 4, 9, 23, 0, 6, 6, 7, 7, 8, 8, 8, 9, 5, 5, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 15, 9, 6, 8, 8, 6, 5, 7, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 5, 5, 6, 7, 8, 4, 5, 5, 5, 5, 5, 5, 4, 7, 5, 4, 3, 3, 4, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 0, 7, 17, 16, 0, 12, 0, 7, 6, 6, 6, 5, 4, 4, 3, 3, 2, 11, 7, 2, 7, 5, 0, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 6, 5, 4, 3, 4, 5, 7, 8, 8, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 7, 5, 3, 1, 3, 3, 4, 5, 5, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 5, 5, 5, 4, 4, 3, 5, 8, 10, 11, 10, 8, 7, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 8, 6, 2, 3, 11, 19, 7, 7, 6, 5, 4, 4, 4, 5, 9, 8, 7, 5, 5, 5, 5, 6, 7, 6, 5, 4, 3, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 6, 5, 4, 4, 3, 4, 5, 5, 5, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 5, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 4, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 6, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 3, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 5, 3, 4, 5, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 6, 3, 3, 4, 7, 2, 9, 12, 7, 2, 3, 7, 10, 4, 4, 3, 2, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 9, 8, 7, 6, 5, 5, 5, 6, 4, 4, 3, 2, 2, 3, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 5, 4, 5, 6, 7, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 5, 4, 4, 6, 8, 3, 4, 5, 7, 7, 7, 6, 5, 5, 6, 7, 6, 3, 4, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 5, 3, 3, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 7, 9, 8, 6, 5, 5, 6, 8, 11, 10, 7, 6, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 5, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 3, 2, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 6, 6, 5, 4, 3, 3, 3, 1, 8, 10, 25, 0, 19, 5, 6, 6, 7, 7, 8, 9, 9, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 12, 8, 6, 10, 10, 7, 6, 7, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 6, 8, 9, 10, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 10, 2, 2, 14, 13, 53, 11, 8, 5, 5, 5, 5, 4, 4, 4, 4, 8, 13, 8, 3, 8, 4, 0, 4, 4, 5, 6, 6, 7, 6, 6, 5, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 3, 6, 7, 4, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 5, 4, 4, 4, 5, 5, 6, 7, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 5, 3, 2, 3, 3, 4, 4, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 4, 4, 6, 7, 8, 8, 7, 6, 4, 3, 5, 6, 7, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 6, 7, 2, 0, 5, 22, 38, 8, 7, 6, 5, 4, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 7, 6, 6, 4, 3, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 4, 5, 5, 5, 5, 3, 5, 6, 6, 4, 4, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 9, 7, 3, 3, 6, 7, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 5, 3, 3, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 3, 7, 10, 8, 3, 1, 4, 8, 2, 16, 24, 17, 6, 4, 6, 8, 5, 4, 3, 3, 3, 3, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 10, 9, 8, 7, 6, 5, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 6, 6, 4, 4, 4, 4, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 6, 6, 7, 8, 7, 6, 4, 3, 4, 5, 6, 7, 7, 6, 5, 4, 4, 6, 7, 7, 5, 4, 4, 5, 7, 6, 5, 4, 5, 6, 8, 9, 0, 0, 3, 7, 3, 5, 10, 9, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 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5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 4, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 31, 23, 14, 8, 5, 5, 3, 2, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 6, 7, 8, 6, 4, 2, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 9, 7, 5, 3, 4, 7, 10, 12, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 6, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 12, 11, 9, 7, 6, 5, 4, 4, 3, 4, 5, 5, 3, 3, 4, 5, 8, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 6, 10, 8, 4, 1, 2, 6, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 8, 7, 5, 5, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 2, 3, 3, 4, 6, 7, 7, 8, 2, 3, 5, 5, 4, 3, 4, 4, 1, 6, 6, 1, 0, 3, 5, 3, 5, 6, 7, 7, 6, 5, 3, 2, 2, 4, 6, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 1, 2, 3, 2, 2, 2, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 3, 2, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 9, 8, 5, 2, 2, 3, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 4, 3, 3, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 7, 6, 5, 4, 6, 8, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 7, 6, 4, 3, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 5, 4, 3, 2, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 6, 7, 9, 10, 7, 6, 5, 4, 5, 6, 8, 9, 10, 4, 0, 0, 22, 0, 9, 16, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 6, 8, 9, 6, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 5, 3, 1, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 2, 1, 3, 7, 9, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 4, 2, 4, 6, 7, 6, 3, 6, 5, 4, 3, 3, 3, 3, 4, 9, 7, 5, 3, 2, 3, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 6, 5, 4, 5, 6, 10, 10, 9, 8, 6, 5, 4, 4, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 4, 5, 6, 5, 4, 4, 4, 3, 3, 3, 4, 6, 8, 10, 7, 6, 5, 5, 6, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 6, 5, 4, 4, 9, 8, 6, 4, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 5, 6, 6, 5, 3, 7, 7, 4, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 4, 5, 5, 6, 6, 7, 6, 6, 4, 4, 4, 4, 6, 6, 18, 13, 7, 4, 5, 7, 7, 7, 5, 5, 6, 7, 7, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 4, 3, 6, 7, 8, 6, 4, 2, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 8, 7, 6, 5, 5, 6, 8, 10, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 5, 4, 3, 3, 3, 3, 4, 5, 5, 3, 3, 4, 5, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 9, 14, 14, 10, 6, 5, 6, 5, 5, 5, 4, 4, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 7, 6, 6, 5, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 6, 7, 6, 5, 4, 4, 4, 2, 7, 8, 3, 1, 5, 6, 3, 4, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 5, 4, 3, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 6, 10, 11, 7, 4, 6, 6, 4, 4, 4, 4, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 5, 4, 4, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 5, 5, 5, 7, 7, 8, 7, 6, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 5, 5, 5, 4, 5, 5, 6, 7, 6, 5, 4, 4, 4, 5, 7, 8, 13, 0, 36, 0, 11, 23, 0, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 6, 8, 8, 6, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 4, 6, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 8, 5, 4, 10, 17, 18, 12, 4, 6, 5, 4, 3, 3, 3, 4, 4, 8, 7, 5, 3, 3, 3, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 2, 2, 4, 6, 9, 8, 8, 7, 6, 6, 5, 5, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 6, 6, 5, 5, 7, 6, 5, 4, 3, 4, 5, 5, 7, 5, 5, 5, 6, 6, 4, 2, 6, 6, 6, 6, 5, 5, 5, 5, 4, 3, 2, 3, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 4, 3, 3, 9, 8, 7, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 5, 6, 6, 5, 6, 8, 7, 4, 4, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 6, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 7, 4, 2, 2, 5, 7, 8, 8, 5, 5, 6, 6, 6, 6, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 2, 4, 5, 3, 2, 6, 7, 7, 6, 4, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 2, 2, 3, 3, 2, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 3, 3, 3, 5, 6, 5, 4, 3, 4, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 8, 14, 16, 12, 8, 6, 5, 5, 5, 5, 5, 4, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 10, 7, 4, 6, 6, 4, 3, 4, 5, 6, 6, 6, 5, 5, 5, 3, 2, 5, 8, 9, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 8, 8, 6, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 10, 3, 0, 4, 14, 18, 13, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 3, 3, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 6, 4, 3, 3, 5, 7, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 5, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 8, 7, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 7, 8, 7, 7, 6, 5, 4, 4, 5, 5, 5, 4, 3, 3, 3, 4, 6, 7, 0, 21, 5, 0, 15, 7, 5, 8, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 5, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 9, 7, 5, 4, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 3, 4, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 8, 5, 5, 14, 24, 25, 14, 3, 6, 6, 5, 4, 3, 3, 4, 4, 8, 6, 5, 3, 3, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 7, 7, 7, 7, 6, 5, 3, 4, 6, 7, 7, 7, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 3, 1, 1, 3, 5, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 6, 6, 6, 6, 5, 7, 6, 5, 4, 4, 4, 5, 5, 6, 5, 4, 5, 6, 6, 4, 2, 6, 6, 6, 6, 7, 7, 7, 7, 4, 3, 1, 3, 5, 7, 7, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 5, 4, 3, 3, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 5, 6, 6, 5, 8, 8, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 4, 3, 5, 6, 7, 6, 4, 3, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 7, 8, 8, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 2, 2, 3, 3, 1, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 6, 6, 4, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 5, 9, 10, 8, 5, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 1, 1, 1, 3, 5, 5, 5, 5, 7, 9, 8, 6, 5, 5, 5, 3, 4, 4, 5, 6, 6, 6, 6, 6, 3, 1, 4, 10, 12, 9, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 2, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 4, 4, 5, 6, 6, 5, 4, 4, 3, 4, 5, 6, 7, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 3, 0, 4, 13, 17, 12, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 2, 2, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 8, 7, 6, 6, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 8, 9, 7, 7, 6, 6, 6, 6, 7, 7, 4, 4, 3, 2, 2, 4, 5, 7, 11, 25, 0, 16, 16, 0, 17, 1, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 5, 4, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 11, 18, 18, 10, 1, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 3, 4, 7, 8, 9, 8, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 5, 3, 1, 2, 3, 5, 5, 5, 6, 6, 7, 7, 8, 7, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 5, 5, 5, 5, 2, 3, 3, 4, 5, 7, 8, 8, 6, 5, 4, 5, 7, 7, 5, 3, 6, 7, 7, 7, 7, 8, 8, 8, 4, 4, 4, 5, 6, 7, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 5, 6, 6, 5, 7, 5, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 2, 3, 4, 5, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 7, 7, 6, 5, 5, 6, 7, 6, 4, 3, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 8, 8, 8, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 2, 3, 4, 4, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 6, 4, 5, 7, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 4, 3, 3, 4, 5, 6, 6, 6, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 3, 3, 4, 5, 5, 6, 7, 7, 8, 5, 3, 3, 5, 6, 5, 4, 4, 5, 7, 8, 6, 4, 5, 7, 4, 4, 4, 4, 5, 6, 6, 7, 6, 3, 1, 4, 10, 12, 9, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 4, 3, 3, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 7, 8, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 5, 7, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 4, 2, 2, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 7, 5, 3, 4, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 7, 8, 6, 6, 6, 7, 7, 9, 10, 11, 4, 4, 3, 2, 2, 4, 5, 7, 23, 0, 25, 32, 0, 11, 17, 0, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 8, 8, 6, 4, 2, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 7, 8, 9, 8, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 7, 8, 6, 3, 1, 1, 4, 4, 5, 5, 6, 7, 7, 8, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 5, 2, 2, 3, 5, 6, 7, 7, 8, 5, 4, 4, 5, 7, 7, 5, 3, 6, 6, 6, 7, 7, 8, 8, 8, 4, 6, 9, 9, 8, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 6, 5, 4, 4, 3, 4, 4, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 5, 6, 6, 5, 6, 4, 4, 7, 7, 4, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 7, 8, 8, 9, 5, 5, 5, 4, 4, 3, 3, 3, 1, 2, 4, 5, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 5, 7, 7, 6, 7, 9, 10, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 6, 8, 8, 7, 6, 4, 5, 7, 6, 4, 3, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 3, 3, 2, 2, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 6, 7, 4, 6, 7, 6, 5, 4, 5, 7, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 4, 5, 7, 8, 7, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 2, 2, 3, 4, 6, 7, 8, 8, 18, 13, 8, 6, 7, 7, 4, 1, 5, 4, 5, 7, 6, 4, 7, 11, 5, 5, 4, 4, 4, 5, 6, 7, 5, 3, 2, 5, 8, 9, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 6, 7, 6, 6, 6, 9, 11, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 7, 5, 5, 6, 6, 6, 6, 5, 5, 3, 4, 5, 6, 7, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 5, 2, 2, 4, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 2, 3, 3, 4, 6, 7, 8, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 6, 4, 3, 3, 5, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 6, 4, 2, 3, 7, 8, 6, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 4, 4, 3, 2, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 6, 6, 7, 9, 11, 12, 5, 4, 3, 3, 3, 4, 6, 7, 37, 83, 33, 1, 6, 12, 5, 10, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 5, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 6, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 3, 2, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 6, 6, 4, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 7, 8, 6, 3, 2, 3, 5, 7, 7, 6, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 4, 5, 5, 4, 3, 3, 3, 4, 6, 7, 7, 7, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 8, 9, 8, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 6, 6, 6, 5, 4, 3, 5, 4, 3, 5, 7, 7, 6, 4, 5, 5, 5, 6, 7, 8, 8, 8, 3, 9, 15, 15, 9, 4, 4, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 5, 6, 6, 5, 5, 3, 6, 12, 12, 7, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 7, 7, 8, 8, 5, 5, 5, 4, 4, 3, 3, 3, 2, 3, 5, 7, 7, 6, 5, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 6, 7, 7, 6, 6, 10, 13, 5, 5, 4, 3, 3, 4, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 7, 7, 6, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 5, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 7, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 5, 6, 6, 5, 6, 7, 7, 5, 5, 6, 7, 4, 4, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 6, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 3, 3, 2, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 17, 11, 6, 4, 6, 7, 5, 2, 7, 4, 3, 7, 7, 5, 10, 18, 7, 6, 5, 4, 4, 4, 5, 6, 4, 4, 4, 5, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 9, 9, 7, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 8, 7, 5, 6, 7, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 8, 8, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 5, 6, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 4, 2, 1, 4, 8, 4, 4, 6, 6, 6, 6, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 7, 5, 4, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 7, 4, 2, 4, 8, 10, 7, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 6, 6, 5, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 6, 5, 4, 4, 4, 5, 7, 8, 64, 164, 34, 0, 26, 0, 0, 14, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 6, 4, 2, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 6, 4, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 6, 4, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 5, 6, 3, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 6, 6, 5, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 6, 6, 8, 10, 5, 5, 5, 5, 5, 5, 6, 6, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 8, 9, 5, 5, 6, 7, 6, 5, 4, 3, 4, 3, 3, 5, 7, 7, 6, 4, 3, 4, 4, 5, 6, 7, 7, 8, 2, 11, 19, 18, 10, 3, 3, 7, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 4, 4, 3, 2, 1, 4, 5, 6, 8, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 5, 6, 6, 5, 6, 4, 8, 15, 16, 10, 7, 9, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 6, 6, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 6, 8, 9, 8, 6, 5, 3, 4, 6, 7, 7, 6, 4, 3, 7, 8, 9, 7, 4, 4, 7, 11, 6, 5, 3, 2, 2, 3, 5, 6, 8, 6, 4, 2, 2, 4, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 3, 5, 6, 6, 4, 4, 5, 7, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 7, 7, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 8, 9, 9, 8, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 4, 4, 4, 5, 5, 6, 7, 7, 5, 5, 6, 7, 5, 5, 5, 6, 6, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 6, 8, 8, 5, 3, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 5, 3, 2, 2, 1, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 2, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 8, 3, 0, 0, 4, 7, 7, 4, 9, 4, 3, 7, 8, 7, 13, 22, 8, 7, 5, 4, 3, 3, 4, 5, 2, 4, 6, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 7, 8, 10, 10, 7, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 7, 5, 3, 2, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 8, 9, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 5, 6, 6, 6, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 6, 8, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 3, 3, 3, 4, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 10, 9, 8, 6, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 6, 5, 4, 6, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 9, 5, 2, 5, 9, 12, 9, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 7, 8, 7, 6, 5, 3, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 3, 4, 4, 7, 6, 5, 4, 5, 6, 8, 9, 16, 37, 10, 10, 0, 7, 7, 13, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 7, 6, 3, 2, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 7, 5, 5, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 6, 6, 4, 4, 7, 10, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 2, 1, 4, 8, 9, 6, 2, 8, 7, 6, 5, 5, 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5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 6, 8, 9, 7, 7, 6, 5, 5, 4, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 8, 8, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 3, 0, 3, 11, 19, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 8, 13, 12, 6, 2, 2, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 3, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 5, 5, 5, 5, 4, 4, 3, 3, 1, 2, 3, 2, 0, 0, 0, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 6, 7, 5, 5, 9, 10, 8, 4, 5, 5, 5, 4, 3, 3, 2, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 7, 5, 4, 3, 3, 4, 5, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 7, 9, 12, 0, 1, 24, 13, 1, 4, 4, 3, 3, 3, 4, 5, 5, 5, 6, 7, 6, 5, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 4, 5, 6, 6, 6, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 8, 8, 5, 5, 5, 5, 6, 7, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 5, 5, 5, 5, 6, 6, 7, 8, 8, 7, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 6, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 4, 4, 6, 6, 7, 8, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 20, 73, 24, 4, 0, 0, 12, 3, 3, 4, 5, 6, 6, 6, 6, 4, 4, 3, 3, 4, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 5, 4, 6, 7, 3, 3, 4, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 5, 4, 4, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 2, 2, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 14, 18, 4, 26, 13, 0, 20, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 3, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 11, 8, 4, 3, 4, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 9, 12, 14, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 7, 8, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 2, 3, 5, 6, 6, 5, 3, 2, 0, 4, 5, 3, 4, 8, 10, 8, 6, 5, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 4, 5, 5, 6, 6, 8, 7, 7, 6, 4, 3, 3, 2, 4, 4, 5, 6, 7, 7, 7, 7, 8, 8, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 3, 3, 4, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 8, 13, 12, 6, 2, 2, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 7, 8, 7, 7, 6, 6, 5, 5, 5, 5, 8, 5, 3, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 2, 2, 2, 3, 5, 6, 8, 9, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 5, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 7, 9, 6, 5, 8, 10, 9, 6, 5, 5, 5, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 5, 0, 7, 0, 0, 11, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 7, 7, 6, 5, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 6, 6, 6, 5, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 6, 5, 5, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 4, 4, 4, 5, 6, 7, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 4, 5, 5, 5, 4, 4, 5, 6, 7, 8, 8, 7, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 3, 4, 4, 4, 4, 3, 2, 1, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 39, 16, 10, 11, 0, 4, 4, 4, 5, 6, 6, 6, 5, 5, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 6, 7, 6, 5, 4, 5, 7, 4, 4, 5, 5, 5, 5, 6, 6, 5, 6, 6, 5, 3, 3, 5, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 0, 25, 11, 0, 7, 13, 26, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 5, 4, 3, 4, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 22, 16, 10, 6, 6, 6, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 3, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 3, 3, 5, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 0, 4, 6, 2, 0, 4, 7, 7, 7, 6, 4, 5, 6, 7, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 3, 8, 7, 6, 6, 4, 4, 3, 2, 4, 5, 6, 7, 8, 8, 8, 7, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 7, 4, 2, 5, 9, 10, 7, 3, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 10, 9, 5, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 6, 4, 3, 5, 7, 7, 7, 6, 5, 5, 5, 5, 6, 7, 6, 5, 4, 4, 6, 8, 9, 7, 7, 7, 6, 6, 6, 5, 5, 8, 6, 4, 3, 4, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 8, 10, 13, 14, 7, 5, 3, 1, 1, 3, 5, 7, 5, 5, 5, 4, 4, 3, 3, 3, 8, 7, 7, 6, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 9, 11, 6, 3, 5, 6, 5, 7, 7, 6, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 5, 19, 3, 14, 19, 11, 0, 0, 22, 8, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 3, 3, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 7, 8, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 4, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 4, 10, 19, 6, 0, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 6, 7, 7, 5, 3, 2, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 7, 6, 5, 4, 3, 4, 5, 6, 4, 6, 7, 5, 3, 3, 5, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 4, 0, 16, 8, 0, 0, 21, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 3, 3, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 21, 15, 7, 5, 6, 7, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 10, 9, 8, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 2, 1, 4, 5, 7, 7, 7, 7, 5, 4, 4, 5, 6, 7, 7, 6, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 4, 0, 1, 5, 6, 3, 6, 4, 3, 5, 8, 10, 9, 7, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 3, 7, 6, 6, 5, 5, 4, 4, 3, 4, 5, 6, 7, 8, 7, 6, 5, 6, 6, 5, 4, 4, 4, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 5, 4, 4, 6, 7, 8, 6, 4, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 7, 6, 4, 4, 7, 10, 8, 7, 6, 5, 4, 5, 5, 6, 7, 6, 5, 4, 4, 6, 8, 9, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 2, 2, 3, 3, 3, 3, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 6, 7, 9, 11, 12, 5, 5, 3, 3, 3, 3, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 10, 9, 8, 7, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 7, 5, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 11, 12, 6, 1, 1, 2, 1, 8, 7, 6, 6, 5, 5, 6, 6, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 2, 3, 5, 6, 6, 5, 3, 2, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 5, 6, 7, 6, 6, 5, 12, 3, 5, 0, 5, 21, 6, 0, 10, 9, 7, 6, 5, 4, 4, 4, 4, 5, 5, 3, 2, 2, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 4, 5, 7, 8, 6, 6, 6, 6, 6, 5, 3, 3, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 3, 2, 2, 0, 2, 4, 5, 5, 4, 2, 0, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 15, 3, 18, 0, 0, 1, 13, 6, 6, 6, 6, 5, 4, 3, 3, 5, 6, 8, 10, 9, 6, 3, 1, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 9, 7, 5, 3, 2, 3, 5, 6, 4, 6, 7, 6, 3, 2, 5, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 2, 3, 4, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 9, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 5, 5, 5, 7, 8, 8, 14, 0, 6, 11, 23, 0, 14, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 3, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 3, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 3, 3, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 2, 13, 7, 0, 0, 4, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 5, 4, 4, 4, 5, 7, 9, 9, 7, 5, 4, 4, 5, 7, 9, 9, 7, 5, 4, 6, 5, 3, 2, 2, 3, 5, 6, 9, 6, 1, 0, 3, 9, 6, 0, 4, 3, 2, 5, 9, 12, 12, 10, 6, 6, 6, 6, 6, 6, 6, 7, 4, 4, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 6, 7, 7, 6, 4, 3, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 7, 8, 8, 7, 5, 5, 5, 6, 7, 5, 2, 0, 1, 3, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 4, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 7, 7, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 6, 7, 5, 3, 4, 8, 11, 9, 8, 6, 5, 4, 5, 5, 6, 7, 6, 4, 3, 4, 6, 8, 9, 5, 5, 5, 4, 4, 3, 3, 3, 1, 2, 4, 5, 4, 3, 3, 3, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 3, 3, 3, 3, 3, 5, 6, 6, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 11, 10, 9, 8, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 3, 4, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 3, 4, 5, 7, 11, 9, 1, 0, 4, 6, 5, 3, 3, 4, 5, 5, 6, 7, 7, 7, 8, 8, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 3, 3, 3, 4, 4, 5, 5, 5, 2, 3, 4, 4, 6, 6, 7, 8, 7, 6, 4, 3, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 6, 8, 8, 5, 2, 5, 6, 7, 7, 5, 5, 6, 7, 9, 7, 5, 3, 2, 4, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 8, 8, 36, 14, 0, 2, 8, 5, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 4, 6, 7, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 7, 10, 10, 6, 3, 5, 4, 3, 2, 2, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 4, 5, 5, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 2, 3, 4, 6, 6, 5, 4, 3, 6, 5, 3, 2, 2, 3, 5, 6, 7, 4, 8, 3, 14, 0, 10, 6, 8, 6, 3, 4, 6, 7, 4, 2, 1, 3, 5, 4, 3, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 12, 7, 4, 4, 8, 8, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 4, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 2, 3, 5, 8, 7, 6, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 5, 4, 6, 6, 5, 6, 8, 8, 6, 4, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 3, 3, 3, 4, 5, 7, 9, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 6, 3, 4, 6, 8, 6, 3, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 4, 4, 4, 3, 3, 3, 1, 2, 4, 5, 6, 5, 4, 4, 4, 9, 10, 3, 1, 4, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 3, 2, 7, 6, 2, 3, 4, 5, 5, 3, 2, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 8, 9, 8, 8, 4, 4, 4, 4, 5, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 6, 5, 5, 5, 6, 6, 6, 5, 4, 5, 7, 8, 7, 6, 8, 8, 7, 6, 5, 5, 5, 5, 4, 3, 2, 1, 2, 4, 7, 9, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 5, 4, 2, 1, 5, 5, 5, 6, 6, 7, 7, 7, 3, 3, 4, 4, 4, 4, 4, 4, 4, 6, 8, 10, 10, 8, 6, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 5, 6, 8, 10, 10, 8, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 2, 2, 3, 4, 4, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 3, 3, 2, 4, 5, 7, 8, 8, 7, 5, 4, 5, 6, 6, 6, 6, 8, 12, 16, 9, 8, 7, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 0, 0, 14, 20, 12, 2, 1, 1, 8, 10, 6, 4, 8, 8, 5, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 6, 6, 5, 4, 3, 3, 0, 12, 17, 8, 2, 7, 11, 9, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 4, 4, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 2, 10, 13, 7, 2, 2, 5, 6, 9, 8, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 7, 6, 4, 3, 5, 7, 7, 6, 5, 5, 4, 4, 4, 4, 1, 5, 6, 4, 6, 9, 6, 0, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 7, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 6, 8, 8, 5, 3, 5, 6, 7, 7, 5, 5, 6, 7, 9, 7, 5, 4, 3, 4, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 4, 5, 5, 5, 5, 5, 5, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 6, 7, 8, 29, 12, 0, 3, 7, 4, 3, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 4, 6, 7, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 7, 9, 9, 6, 3, 5, 5, 3, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 4, 6, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 3, 3, 3, 3, 5, 5, 6, 3, 9, 4, 10, 7, 8, 6, 8, 6, 4, 4, 6, 6, 4, 2, 2, 3, 5, 5, 4, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 11, 7, 4, 4, 7, 8, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 5, 4, 5, 8, 11, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 7, 6, 5, 4, 4, 6, 5, 4, 6, 7, 7, 5, 3, 3, 3, 4, 4, 4, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 3, 3, 3, 3, 4, 5, 7, 7, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 4, 4, 5, 6, 6, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 5, 4, 4, 4, 3, 2, 3, 4, 5, 6, 5, 4, 3, 5, 6, 4, 1, 4, 9, 8, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 5, 4, 7, 7, 3, 4, 6, 8, 7, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 9, 8, 7, 6, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 6, 5, 5, 5, 6, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 6, 5, 5, 5, 5, 6, 6, 5, 4, 5, 7, 8, 7, 6, 7, 6, 5, 4, 4, 4, 4, 4, 9, 8, 6, 5, 4, 5, 6, 7, 5, 6, 6, 6, 6, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 3, 3, 3, 3, 3, 4, 6, 8, 10, 10, 8, 6, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 8, 8, 7, 7, 6, 6, 5, 5, 4, 5, 7, 9, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 3, 3, 3, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 5, 7, 8, 8, 7, 5, 4, 4, 5, 5, 4, 4, 6, 9, 12, 8, 8, 7, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 10, 3, 5, 16, 20, 12, 6, 7, 4, 8, 8, 3, 2, 5, 5, 2, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 4, 4, 3, 3, 4, 16, 20, 10, 4, 7, 9, 6, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 5, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 7, 6, 9, 14, 15, 12, 9, 7, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 6, 4, 3, 5, 7, 5, 5, 6, 6, 6, 5, 4, 3, 3, 5, 5, 5, 8, 10, 7, 0, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 6, 8, 8, 5, 3, 4, 6, 7, 6, 5, 4, 5, 7, 8, 7, 6, 4, 4, 4, 6, 6, 5, 4, 3, 3, 3, 3, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 6, 7, 8, 20, 8, 2, 5, 7, 3, 3, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 6, 7, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 6, 8, 8, 6, 4, 6, 5, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 4, 4, 6, 6, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 1, 6, 23, 9, 0, 10, 0, 5, 7, 5, 4, 4, 6, 6, 5, 3, 2, 4, 5, 5, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 10, 7, 4, 4, 7, 7, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 3, 4, 4, 4, 3, 5, 8, 11, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 4, 3, 3, 5, 4, 3, 5, 6, 6, 4, 3, 3, 4, 4, 4, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 6, 7, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 3, 6, 4, 0, 1, 7, 13, 10, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 7, 8, 5, 5, 6, 5, 2, 4, 7, 10, 11, 9, 7, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 14, 13, 12, 9, 7, 5, 3, 3, 5, 5, 6, 6, 5, 5, 4, 3, 7, 6, 6, 6, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 5, 5, 5, 5, 5, 6, 4, 4, 5, 7, 8, 7, 5, 5, 5, 4, 3, 3, 3, 3, 4, 7, 7, 7, 7, 6, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 2, 2, 4, 6, 8, 9, 9, 8, 6, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 8, 8, 7, 6, 4, 3, 2, 2, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 3, 2, 3, 6, 8, 7, 7, 7, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 2, 4, 12, 13, 6, 4, 8, 5, 6, 5, 3, 4, 7, 7, 3, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 14, 17, 9, 3, 6, 7, 5, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 3, 1, 3, 13, 21, 19, 10, 8, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 5, 6, 7, 7, 6, 4, 3, 9, 8, 6, 3, 3, 5, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 6, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 9, 8, 8, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 5, 5, 4, 1, 3, 5, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 7, 7, 6, 4, 4, 5, 7, 6, 4, 4, 5, 6, 7, 6, 5, 4, 3, 3, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 5, 4, 4, 4, 5, 6, 7, 6, 5, 5, 5, 6, 7, 7, 10, 5, 3, 6, 6, 3, 3, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 7, 7, 6, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 5, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 3, 17, 6, 0, 35, 0, 2, 6, 5, 5, 5, 5, 5, 5, 4, 3, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 5, 6, 6, 8, 6, 4, 4, 6, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 3, 2, 2, 5, 8, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 3, 2, 4, 3, 3, 4, 5, 6, 4, 2, 4, 4, 4, 5, 5, 5, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 5, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 9, 10, 8, 4, 2, 4, 7, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 7, 4, 2, 4, 8, 11, 8, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 6, 5, 5, 4, 3, 1, 3, 7, 11, 12, 10, 8, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 13, 12, 11, 9, 7, 5, 4, 3, 7, 7, 7, 7, 6, 4, 3, 2, 6, 6, 5, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 5, 4, 4, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 4, 4, 3, 4, 4, 5, 1, 2, 3, 5, 6, 7, 7, 7, 5, 6, 6, 6, 6, 5, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 3, 3, 4, 4, 5, 5, 5, 5, 8, 7, 7, 6, 5, 4, 3, 3, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 3, 2, 2, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 6, 5, 4, 3, 2, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 6, 6, 6, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 5, 4, 2, 2, 4, 6, 7, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 2, 5, 8, 6, 1, 3, 9, 3, 3, 4, 6, 9, 11, 9, 6, 5, 5, 4, 3, 3, 4, 5, 5, 6, 5, 5, 4, 4, 3, 3, 3, 0, 6, 10, 5, 2, 4, 7, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 7, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 0, 0, 9, 15, 11, 3, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 5, 4, 3, 4, 6, 5, 2, 0, 3, 7, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 9, 8, 8, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 5, 5, 4, 2, 3, 5, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 4, 4, 5, 6, 6, 4, 3, 5, 6, 5, 4, 4, 3, 2, 2, 3, 3, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 5, 5, 5, 6, 7, 4, 3, 4, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 7, 7, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 6, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 8, 7, 5, 4, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 17, 0, 0, 0, 15, 64, 14, 2, 4, 5, 5, 5, 5, 5, 5, 6, 4, 6, 7, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 9, 9, 8, 6, 3, 2, 4, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 3, 2, 4, 3, 3, 4, 5, 6, 4, 2, 4, 4, 5, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 5, 4, 6, 5, 4, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 12, 13, 13, 10, 4, 2, 3, 6, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 6, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 7, 8, 8, 6, 4, 3, 2, 5, 9, 11, 9, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 7, 6, 5, 4, 4, 9, 9, 9, 8, 7, 5, 4, 3, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 3, 4, 6, 7, 6, 5, 6, 6, 5, 5, 5, 6, 6, 7, 2, 3, 4, 6, 6, 7, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 4, 4, 4, 4, 6, 6, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 6, 7, 8, 5, 5, 5, 5, 6, 6, 7, 7, 10, 9, 9, 8, 6, 6, 5, 4, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 5, 4, 2, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 4, 5, 5, 5, 5, 5, 5, 4, 6, 7, 7, 6, 4, 3, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 9, 9, 6, 3, 7, 13, 2, 2, 5, 9, 10, 8, 5, 4, 5, 4, 3, 3, 3, 3, 4, 5, 5, 4, 4, 4, 4, 3, 3, 3, 0, 5, 8, 5, 3, 4, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 7, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 1, 3, 7, 6, 1, 5, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 0, 0, 4, 8, 7, 2, 1, 4, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 7, 7, 6, 5, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 7, 7, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 3, 5, 6, 5, 4, 3, 4, 6, 4, 4, 4, 4, 3, 3, 2, 2, 7, 7, 6, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 8, 7, 6, 5, 5, 5, 6, 6, 2, 2, 4, 6, 7, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 6, 7, 7, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 5, 4, 4, 5, 7, 7, 7, 7, 7, 6, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 4, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 6, 5, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 8, 0, 9, 3, 7, 31, 6, 5, 3, 5, 6, 6, 4, 4, 5, 7, 5, 7, 7, 7, 5, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 14, 14, 12, 9, 6, 4, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 4, 3, 3, 5, 4, 3, 5, 6, 6, 4, 3, 5, 5, 5, 5, 6, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 7, 7, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 13, 13, 12, 9, 5, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 4, 5, 6, 7, 8, 6, 7, 9, 11, 8, 3, 2, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 9, 13, 13, 8, 6, 7, 2, 5, 8, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 8, 6, 5, 4, 5, 4, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 4, 3, 3, 4, 4, 5, 3, 2, 3, 5, 6, 6, 4, 6, 6, 5, 5, 6, 6, 7, 8, 12, 11, 10, 8, 7, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 5, 7, 8, 5, 5, 6, 6, 6, 7, 7, 7, 9, 9, 8, 8, 7, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 6, 5, 6, 7, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 5, 7, 6, 3, 3, 6, 9, 3, 3, 5, 7, 5, 1, 1, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 8, 10, 11, 9, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 6, 4, 3, 6, 7, 6, 4, 5, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 6, 6, 5, 5, 4, 3, 3, 3, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 7, 18, 8, 2, 5, 8, 6, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 3, 5, 7, 6, 5, 3, 4, 5, 5, 3, 3, 4, 5, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 5, 4, 4, 4, 4, 5, 6, 7, 8, 7, 6, 5, 5, 5, 5, 6, 3, 3, 3, 5, 7, 8, 6, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 7, 7, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 5, 3, 2, 5, 7, 7, 7, 8, 8, 7, 5, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 4, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 7, 7, 6, 5, 4, 3, 3, 3, 5, 5, 5, 5, 3, 3, 0, 6, 19, 7, 0, 0, 0, 6, 2, 4, 6, 6, 4, 4, 6, 8, 6, 7, 8, 7, 5, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 3, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 6, 7, 7, 13, 13, 11, 8, 5, 4, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 7, 6, 5, 4, 4, 6, 5, 4, 6, 7, 7, 5, 3, 5, 5, 5, 6, 6, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 4, 6, 8, 8, 7, 6, 5, 3, 3, 5, 6, 6, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 11, 8, 6, 5, 5, 5, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 5, 7, 9, 10, 8, 4, 5, 11, 11, 6, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 8, 13, 13, 7, 4, 6, 3, 5, 7, 7, 5, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 7, 7, 8, 7, 7, 6, 5, 4, 6, 5, 4, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 4, 3, 3, 3, 4, 4, 4, 3, 2, 3, 5, 6, 5, 4, 5, 5, 4, 4, 5, 6, 7, 7, 16, 14, 11, 8, 5, 4, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 4, 3, 3, 4, 6, 8, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 7, 8, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 8, 8, 7, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 0, 2, 3, 2, 1, 2, 3, 4, 6, 4, 5, 5, 1, 0, 7, 19, 4, 3, 3, 2, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 10, 10, 10, 10, 8, 5, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 5, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 6, 4, 4, 7, 8, 6, 3, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 7, 8, 8, 8, 7, 6, 5, 4, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 4, 6, 7, 5, 3, 5, 4, 3, 3, 4, 5, 7, 8, 49, 25, 3, 0, 5, 9, 9, 9, 3, 3, 4, 5, 5, 6, 7, 7, 3, 3, 4, 4, 4, 3, 2, 1, 3, 3, 4, 4, 6, 6, 7, 7, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 2, 3, 4, 4, 6, 6, 7, 8, 9, 8, 6, 5, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 3, 5, 7, 6, 6, 3, 4, 5, 5, 3, 3, 4, 5, 7, 8, 8, 8, 8, 7, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 8, 8, 7, 6, 4, 3, 2, 2, 4, 4, 4, 4, 4, 5, 7, 7, 8, 8, 6, 5, 5, 5, 5, 5, 5, 4, 3, 4, 8, 10, 6, 1, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 7, 7, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 4, 2, 2, 5, 8, 7, 7, 8, 8, 7, 5, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 4, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 7, 7, 8, 8, 7, 5, 3, 2, 2, 3, 5, 6, 6, 5, 3, 2, 9, 0, 0, 0, 19, 3, 15, 4, 2, 4, 7, 6, 4, 3, 6, 8, 6, 8, 8, 7, 5, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 4, 3, 2, 2, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 5, 4, 4, 4, 4, 4, 3, 4, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 8, 7, 4, 2, 2, 4, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 5, 4, 6, 6, 5, 6, 8, 8, 6, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 4, 6, 8, 9, 8, 6, 5, 1, 3, 5, 6, 6, 5, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 1, 2, 5, 6, 5, 2, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 4, 4, 4, 3, 3, 3, 4, 3, 3, 4, 5, 8, 10, 12, 9, 1, 0, 9, 15, 11, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 2, 5, 11, 10, 3, 0, 3, 5, 6, 7, 7, 5, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 7, 7, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 4, 3, 3, 3, 3, 4, 4, 3, 2, 3, 5, 6, 5, 4, 3, 3, 3, 3, 3, 4, 6, 6, 12, 10, 7, 4, 3, 3, 4, 5, 5, 6, 6, 6, 6, 5, 4, 3, 2, 4, 6, 8, 8, 6, 4, 2, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 4, 3, 3, 4, 6, 7, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 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2, 2, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 7, 6, 6, 5, 5, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 5, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 5, 6, 7, 7, 7, 7, 5, 4, 3, 2, 2, 2, 5, 6, 8, 9, 9, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 4, 2, 2, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 6, 8, 8, 7, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 3, 5, 6, 5, 4, 7, 7, 7, 7, 7, 6, 5, 4, 1, 2, 4, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 2, 3, 4, 5, 5, 5, 5, 4, 8, 7, 5, 4, 4, 5, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 10, 9, 8, 7, 5, 4, 3, 2, 8, 8, 7, 6, 6, 7, 8, 8, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 4, 3, 2, 2, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 7, 8, 8, 7, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 7, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 5, 4, 3, 2, 5, 4, 4, 5, 7, 7, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 1, 1, 2, 4, 6, 5, 3, 0, 4, 4, 4, 5, 5, 6, 6, 6, 7, 4, 3, 4, 6, 7, 5, 3, 3, 4, 6, 7, 7, 6, 4, 3, 7, 6, 5, 5, 7, 7, 6, 5, 2, 4, 6, 8, 8, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 7, 8, 4, 2, 2, 3, 5, 6, 5, 4, 6, 7, 9, 10, 9, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 10, 12, 11, 10, 0, 4, 10, 13, 11, 7, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 8, 4, 5, 7, 1, 3, 4, 5, 5, 3, 2, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 4, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 2, 3, 4, 5, 7, 4, 5, 6, 6, 5, 5, 7, 9, 5, 10, 5, 5, 14, 0, 11, 1, 7, 7, 7, 6, 5, 4, 3, 2, 5, 5, 5, 6, 6, 7, 7, 7, 2, 3, 4, 5, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 2, 2, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 7, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 5, 6, 6, 5, 3, 2, 2, 3, 3, 4, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 7, 9, 7, 0, 0, 3, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 4, 3, 2, 2, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 6, 6, 5, 3, 3, 5, 6, 6, 6, 6, 5, 4, 3, 7, 6, 5, 4, 3, 3, 3, 3, 5, 5, 5, 6, 6, 7, 7, 8, 9, 8, 6, 4, 2, 1, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 4, 5, 8, 7, 5, 7, 6, 7, 10, 9, 4, 3, 6, 4, 6, 8, 8, 6, 5, 5, 6, 4, 2, 1, 2, 5, 6, 3, 0, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 7, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 8, 9, 8, 6, 4, 2, 6, 4, 2, 2, 4, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 8, 6, 4, 4, 5, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 6, 7, 7, 8, 7, 6, 5, 4, 3, 3, 3, 3, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 4, 3, 4, 5, 6, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 3, 5, 6, 5, 4, 6, 6, 7, 7, 6, 5, 4, 3, 2, 3, 4, 5, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 6, 6, 6, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 2, 3, 4, 5, 5, 5, 5, 4, 7, 6, 5, 5, 5, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 8, 6, 5, 4, 3, 3, 6, 6, 5, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 6, 5, 5, 4, 5, 5, 6, 7, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 6, 7, 8, 5, 4, 4, 5, 7, 7, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 5, 4, 3, 4, 4, 3, 1, 4, 4, 4, 5, 5, 6, 6, 6, 9, 7, 5, 6, 8, 9, 7, 5, 4, 4, 6, 6, 6, 6, 4, 4, 7, 6, 5, 5, 7, 7, 6, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 7, 8, 7, 5, 4, 4, 6, 6, 5, 3, 6, 7, 8, 9, 9, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 8, 9, 8, 7, 2, 5, 8, 9, 8, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 0, 4, 9, 5, 7, 9, 3, 3, 5, 6, 5, 4, 3, 4, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 4, 5, 7, 8, 4, 6, 6, 6, 5, 5, 7, 9, 11, 41, 7, 4, 3, 17, 0, 6, 6, 7, 7, 6, 5, 4, 3, 2, 4, 4, 4, 5, 5, 5, 6, 6, 3, 3, 5, 5, 5, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 3, 3, 1, 1, 2, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 6, 8, 7, 4, 2, 3, 5, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 3, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 6, 6, 6, 6, 5, 4, 3, 5, 6, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 4, 5, 6, 7, 4, 4, 5, 5, 6, 6, 7, 7, 6, 5, 5, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 4, 6, 7, 7, 3, 0, 9, 10, 14, 17, 12, 4, 1, 3, 4, 6, 8, 7, 6, 5, 5, 6, 5, 4, 3, 4, 6, 7, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 7, 8, 8, 6, 4, 3, 6, 4, 3, 3, 5, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 3, 3, 5, 6, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 6, 6, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 7, 7, 8, 8, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 8, 8, 9, 6, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 6, 8, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 3, 5, 6, 5, 4, 5, 5, 5, 6, 5, 4, 3, 3, 4, 4, 4, 4, 5, 6, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 2, 3, 4, 5, 5, 5, 5, 4, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 3, 4, 4, 5, 5, 5, 5, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 5, 5, 6, 7, 8, 8, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 2, 4, 7, 10, 13, 5, 4, 4, 5, 7, 7, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 10, 7, 3, 2, 2, 3, 2, 1, 4, 4, 4, 5, 5, 6, 6, 6, 8, 6, 5, 6, 7, 8, 7, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 5, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 7, 8, 7, 6, 4, 4, 5, 5, 3, 1, 6, 7, 8, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 10, 7, 4, 3, 4, 5, 5, 4, 6, 7, 7, 5, 4, 4, 6, 9, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 1, 5, 8, 3, 6, 8, 0, 4, 6, 7, 6, 5, 4, 5, 7, 6, 5, 5, 4, 4, 5, 5, 6, 7, 8, 8, 8, 8, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 6, 6, 7, 8, 5, 6, 7, 6, 5, 5, 7, 9, 56, 247, 62, 11, 12, 8, 0, 7, 6, 6, 6, 6, 5, 4, 3, 2, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 5, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 3, 2, 2, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 3, 4, 12, 18, 14, 3, 1, 7, 8, 8, 7, 7, 7, 6, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 3, 4, 4, 5, 5, 5, 5, 4, 7, 7, 6, 5, 5, 6, 7, 7, 6, 5, 3, 2, 3, 5, 7, 9, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 7, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 8, 8, 5, 4, 0, 1, 8, 13, 11, 5, 4, 7, 4, 6, 7, 7, 6, 5, 5, 6, 6, 5, 5, 6, 7, 7, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 2, 3, 5, 6, 6, 6, 4, 3, 5, 4, 3, 5, 7, 7, 6, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 2, 3, 5, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 6, 6, 6, 6, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 6, 6, 6, 7, 7, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 7, 8, 8, 9, 9, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 8, 9, 9, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 5, 6, 5, 4, 3, 4, 4, 5, 5, 4, 3, 3, 5, 5, 4, 3, 4, 5, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 2, 3, 4, 5, 5, 5, 5, 4, 6, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 2, 2, 3, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 2, 3, 4, 5, 6, 6, 6, 6, 4, 5, 7, 9, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 6, 8, 8, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 3, 4, 6, 9, 10, 5, 4, 4, 5, 7, 7, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 4, 2, 2, 3, 3, 2, 0, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 7, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 7, 8, 5, 3, 2, 2, 4, 4, 3, 1, 5, 6, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 10, 5, 3, 3, 4, 3, 3, 7, 7, 7, 5, 3, 4, 7, 9, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 4, 6, 6, 0, 4, 6, 0, 5, 6, 8, 7, 5, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 5, 6, 7, 6, 4, 4, 6, 8, 35, 252, 49, 1, 11, 2, 11, 10, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 4, 6, 8, 10, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 9, 6, 3, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 5, 6, 6, 6, 5, 13, 24, 19, 3, 1, 11, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 4, 3, 3, 4, 5, 7, 8, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 6, 6, 6, 5, 4, 4, 7, 6, 5, 5, 4, 4, 4, 4, 8, 7, 6, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 5, 2, 3, 5, 5, 7, 10, 9, 4, 3, 7, 9, 8, 8, 10, 3, 5, 7, 7, 5, 4, 5, 6, 5, 5, 5, 6, 7, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 1, 2, 3, 5, 5, 5, 5, 4, 4, 4, 4, 6, 8, 7, 5, 2, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 2, 3, 5, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 4, 5, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 3, 1, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 7, 8, 8, 9, 9, 5, 5, 5, 4, 5, 5, 6, 7, 7, 7, 7, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 8, 9, 9, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 6, 4, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 5, 6, 5, 4, 3, 3, 4, 5, 5, 4, 4, 3, 6, 5, 4, 3, 3, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 2, 3, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 5, 6, 6, 6, 6, 6, 4, 5, 7, 9, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 7, 7, 7, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 4, 4, 5, 7, 7, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 1, 2, 4, 7, 9, 9, 5, 2, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 7, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 7, 8, 3, 2, 2, 3, 6, 8, 7, 6, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 15, 11, 7, 4, 4, 4, 4, 3, 5, 6, 7, 7, 5, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 7, 6, 2, 9, 12, 2, 5, 6, 8, 7, 5, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 2, 3, 3, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 7, 6, 4, 4, 6, 8, 9, 41, 11, 7, 6, 19, 9, 0, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 7, 10, 13, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 9, 6, 4, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 8, 4, 9, 19, 15, 1, 1, 12, 5, 5, 5, 4, 4, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 2, 3, 5, 6, 7, 6, 6, 5, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 7, 6, 5, 4, 4, 4, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 1, 0, 5, 7, 4, 3, 6, 39, 23, 8, 6, 9, 9, 7, 6, 3, 5, 7, 6, 5, 4, 4, 5, 3, 4, 5, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 2, 2, 3, 4, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 4, 2, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 3, 3, 5, 6, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 3, 3, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 2, 3, 5, 6, 6, 5, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 6, 4, 5, 7, 7, 3, 0, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 8, 8, 9, 7, 6, 5, 5, 5, 5, 6, 6, 8, 8, 7, 6, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 6, 8, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 4, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 2, 3, 5, 6, 5, 4, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 7, 6, 6, 7, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 7, 6, 5, 5, 5, 5, 6, 7, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 6, 6, 7, 6, 6, 5, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 7, 7, 7, 6, 6, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 5, 4, 2, 1, 5, 4, 4, 5, 7, 7, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 2, 4, 8, 12, 15, 14, 9, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 6, 7, 6, 5, 4, 5, 7, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 5, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 7, 8, 5, 4, 4, 6, 10, 12, 12, 11, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 12, 10, 6, 5, 5, 6, 5, 4, 3, 6, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 7, 7, 5, 17, 22, 12, 4, 6, 7, 6, 5, 4, 5, 7, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 4, 4, 5, 5, 4, 4, 6, 7, 8, 6, 4, 4, 5, 7, 15, 19, 57, 18, 14, 7, 15, 0, 4, 5, 5, 6, 6, 5, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 5, 7, 9, 11, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 4, 5, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 6, 2, 3, 8, 7, 0, 0, 6, 4, 4, 4, 3, 3, 3, 2, 2, 7, 7, 6, 5, 5, 4, 3, 3, 4, 5, 6, 6, 7, 6, 6, 5, 5, 4, 3, 3, 3, 3, 4, 5, 3, 4, 6, 8, 7, 6, 4, 2, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 8, 7, 5, 3, 3, 4, 5, 6, 4, 4, 4, 4, 5, 6, 8, 8, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 1, 7, 18, 21, 12, 4, 4, 38, 21, 5, 2, 7, 8, 7, 6, 2, 4, 6, 6, 4, 3, 4, 5, 2, 4, 6, 6, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 4, 5, 6, 6, 4, 2, 6, 5, 5, 4, 4, 5, 5, 6, 8, 6, 4, 4, 5, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 3, 3, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 5, 6, 6, 5, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 10, 6, 4, 6, 10, 11, 7, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 6, 7, 7, 8, 8, 8, 7, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 4, 3, 4, 5, 6, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 2, 3, 5, 6, 5, 4, 3, 4, 5, 6, 7, 7, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 9, 7, 5, 4, 4, 5, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 2, 3, 4, 5, 5, 5, 5, 4, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 7, 6, 5, 5, 5, 5, 6, 7, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 7, 6, 5, 4, 4, 5, 6, 7, 7, 7, 5, 4, 4, 3, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 5, 4, 4, 5, 7, 7, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 7, 10, 13, 12, 8, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 6, 7, 6, 4, 3, 5, 7, 6, 6, 4, 4, 4, 4, 6, 6, 7, 6, 5, 5, 7, 7, 6, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 7, 8, 6, 5, 4, 6, 9, 10, 10, 9, 4, 4, 4, 4, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 5, 6, 6, 5, 3, 4, 6, 8, 7, 6, 5, 5, 7, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 7, 5, 4, 17, 23, 11, 3, 5, 6, 5, 4, 3, 4, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 6, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 5, 6, 6, 6, 5, 4, 7, 8, 8, 6, 4, 4, 5, 7, 7, 105, 131, 12, 15, 0, 23, 13, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 9, 8, 7, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 5, 5, 4, 5, 5, 6, 7, 8, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 3, 1, 2, 3, 4, 2, 1, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 4, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 8, 7, 5, 3, 3, 4, 5, 6, 5, 5, 4, 5, 5, 7, 8, 9, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 2, 7, 19, 22, 12, 6, 8, 13, 5, 0, 2, 6, 6, 6, 7, 2, 4, 6, 6, 4, 3, 3, 4, 3, 6, 8, 8, 5, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 5, 5, 5, 8, 6, 4, 4, 5, 5, 5, 3, 6, 5, 5, 4, 4, 5, 5, 6, 9, 6, 4, 4, 5, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 7, 9, 9, 7, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 10, 7, 5, 8, 13, 14, 11, 7, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 5, 6, 7, 7, 9, 9, 7, 6, 5, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 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3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 10, 22, 82, 14, 18, 0, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 5, 3, 2, 3, 6, 5, 5, 6, 7, 7, 6, 5, 5, 4, 4, 3, 3, 3, 3, 2, 2, 3, 6, 3, 4, 6, 4, 19, 47, 237, 64, 1, 5, 8, 18, 0, 0, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 5, 3, 3, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 3, 3, 3, 4, 4, 3, 3, 3, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 6, 5, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 6, 5, 5, 5, 5, 6, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 5, 5, 5, 5, 4, 4, 9, 3, 16, 0, 9, 5, 21, 3, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 2, 2, 4, 9, 14, 18, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 4, 3, 4, 5, 6, 7, 8, 8, 6, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 7, 8, 8, 4, 4, 5, 6, 6, 6, 6, 6, 0, 2, 4, 6, 6, 5, 3, 1, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 8, 8, 7, 7, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 0, 4, 7, 7, 4, 2, 3, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 7, 5, 3, 3, 5, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 4, 5, 6, 6, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 6, 4, 2, 1, 1, 3, 3, 3, 4, 5, 5, 5, 5, 5, 4, 6, 7, 6, 5, 4, 5, 7, 6, 6, 5, 5, 5, 5, 4, 4, 7, 3, 2, 4, 3, 1, 4, 11, 1, 7, 1, 4, 15, 2, 0, 20, 13, 9, 5, 3, 3, 4, 5, 4, 8, 7, 6, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 8, 8, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 6, 4, 14, 17, 118, 15, 7, 6, 5, 6, 6, 5, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 5, 9, 9, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 9, 8, 6, 4, 4, 6, 8, 9, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 5, 6, 3, 2, 4, 6, 5, 4, 4, 5, 5, 6, 6, 7, 7, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 0, 0, 6, 2, 0, 2, 10, 5, 4, 4, 4, 4, 5, 5, 5, 5, 7, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 4, 4, 4, 4, 3, 6, 8, 8, 6, 4, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 7, 17, 73, 11, 8, 0, 16, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 6, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 6, 7, 7, 7, 6, 5, 4, 4, 3, 5, 1, 1, 6, 3, 11, 32, 78, 18, 17, 11, 0, 7, 1, 10, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 2, 4, 7, 7, 6, 4, 3, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 3, 4, 5, 6, 6, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 11, 0, 8, 2, 0, 0, 8, 8, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 7, 11, 17, 20, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 6, 4, 3, 4, 6, 13, 13, 11, 8, 4, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 6, 7, 8, 8, 4, 5, 6, 6, 7, 7, 6, 6, 4, 4, 5, 6, 7, 6, 6, 6, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 7, 7, 6, 6, 5, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 8, 13, 13, 8, 4, 5, 7, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 9, 7, 6, 6, 7, 7, 5, 3, 3, 4, 4, 5, 5, 4, 4, 3, 6, 7, 7, 5, 2, 1, 2, 3, 3, 4, 5, 6, 7, 6, 4, 3, 5, 6, 8, 7, 5, 5, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 5, 1, 4, 13, 16, 9, 4, 4, 9, 10, 0, 1, 14, 10, 0, 0, 7, 5, 3, 3, 4, 5, 4, 3, 9, 8, 8, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 8, 8, 7, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 13, 0, 15, 26, 121, 19, 9, 6, 4, 6, 10, 11, 8, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 7, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 7, 7, 6, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 5, 4, 3, 6, 5, 5, 4, 5, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 6, 8, 5, 1, 1, 5, 4, 4, 4, 5, 6, 7, 7, 7, 4, 5, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 7, 0, 5, 8, 0, 3, 9, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 7, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 3, 3, 5, 8, 8, 6, 4, 3, 3, 8, 7, 7, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 13, 0, 2, 19, 9, 0, 4, 10, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 7, 8, 9, 9, 9, 7, 6, 5, 6, 6, 0, 0, 4, 0, 0, 12, 0, 0, 12, 0, 0, 11, 6, 8, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 7, 7, 7, 6, 8, 9, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 4, 5, 6, 6, 5, 6, 8, 10, 10, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 6, 6, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 3, 20, 50, 25, 5, 0, 7, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 7, 9, 11, 12, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 14, 13, 11, 7, 3, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 7, 7, 6, 16, 14, 10, 7, 5, 5, 6, 7, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 5, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 10, 15, 14, 9, 5, 6, 8, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 9, 7, 6, 6, 7, 7, 5, 3, 3, 4, 4, 5, 5, 4, 4, 3, 8, 9, 8, 6, 3, 3, 4, 6, 4, 5, 6, 7, 7, 6, 4, 3, 5, 6, 8, 7, 5, 5, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 4, 3, 16, 38, 46, 30, 7, 0, 5, 13, 10, 0, 0, 1, 10, 21, 4, 3, 2, 3, 5, 5, 4, 2, 8, 8, 8, 7, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 18, 3, 6, 4, 11, 0, 27, 8, 7, 3, 1, 5, 11, 14, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 7, 8, 6, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 5, 3, 2, 1, 2, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 6, 10, 7, 0, 0, 4, 3, 3, 4, 4, 5, 5, 6, 6, 3, 4, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 17, 5, 5, 13, 12, 5, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 3, 3, 6, 8, 7, 5, 4, 3, 4, 8, 8, 7, 7, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 4, 13, 10, 10, 0, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 7, 8, 2, 1, 7, 2, 0, 5, 28, 7, 4, 7, 10, 3, 0, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 9, 13, 17, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 6, 5, 6, 8, 10, 10, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 6, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 5, 5, 5, 5, 4, 4, 9, 12, 28, 67, 34, 16, 0, 13, 5, 6, 6, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 5, 4, 3, 3, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 6, 4, 4, 5, 7, 8, 8, 8, 6, 4, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 5, 5, 6, 7, 8, 8, 7, 7, 23, 20, 13, 7, 3, 2, 3, 4, 5, 5, 5, 5, 6, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 8, 11, 10, 6, 4, 4, 6, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 3, 5, 7, 7, 5, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 4, 5, 6, 6, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 9, 9, 8, 6, 4, 4, 6, 8, 6, 6, 6, 6, 6, 5, 5, 4, 4, 6, 7, 6, 5, 4, 5, 7, 6, 6, 5, 5, 5, 5, 4, 4, 11, 3, 8, 27, 34, 22, 7, 2, 0, 4, 7, 7, 4, 2, 0, 0, 3, 3, 2, 3, 5, 5, 3, 2, 6, 7, 7, 7, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 13, 0, 5, 3, 0, 8, 4, 1, 0, 3, 9, 11, 8, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 2, 4, 8, 9, 6, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 6, 5, 3, 2, 0, 1, 3, 5, 6, 5, 3, 2, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 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3, 3, 5, 5, 5, 5, 5, 9, 14, 18, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 3, 3, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 8, 7, 6, 5, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 6, 6, 6, 6, 5, 5, 7, 2, 10, 20, 5, 0, 2, 7, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 6, 4, 4, 6, 7, 5, 6, 6, 6, 4, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 5, 6, 7, 8, 8, 8, 7, 7, 15, 13, 9, 5, 3, 3, 3, 4, 5, 5, 5, 6, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 2, 5, 8, 7, 5, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 3, 4, 5, 6, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 8, 8, 7, 5, 3, 4, 6, 9, 8, 7, 6, 5, 5, 5, 5, 5, 3, 5, 6, 5, 4, 3, 4, 6, 4, 4, 5, 5, 5, 5, 6, 6, 12, 2, 3, 15, 16, 6, 4, 12, 14, 0, 0, 1, 9, 18, 21, 13, 5, 4, 3, 3, 5, 5, 4, 2, 4, 4, 5, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 8, 22, 0, 3, 23, 10, 11, 5, 3, 2, 4, 7, 8, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 5, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 3, 1, 4, 8, 9, 6, 2, 5, 5, 6, 6, 6, 6, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 7, 6, 5, 5, 5, 4, 8, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 0, 28, 15, 0, 8, 11, 1, 14, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 6, 7, 7, 6, 6, 7, 7, 6, 4, 2, 2, 5, 7, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 15, 2, 5, 0, 8, 1, 11, 6, 6, 6, 6, 6, 6, 6, 6, 13, 9, 4, 2, 4, 5, 5, 4, 5, 5, 4, 3, 3, 4, 5, 5, 8, 7, 5, 5, 7, 10, 14, 16, 3, 9, 6, 4, 10, 9, 4, 9, 9, 14, 6, 0, 0, 18, 27, 0, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 9, 6, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 4, 3, 3, 4, 5, 6, 4, 4, 4, 3, 3, 2, 2, 2, 4, 5, 6, 6, 5, 6, 10, 12, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 7, 8, 7, 6, 4, 3, 8, 7, 5, 4, 4, 5, 7, 8, 5, 6, 6, 7, 7, 6, 6, 5, 11, 4, 14, 0, 4, 4, 20, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 5, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 5, 5, 4, 6, 8, 6, 7, 8, 6, 4, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 8, 8, 7, 1, 1, 2, 3, 4, 6, 7, 8, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 5, 4, 2, 1, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 7, 5, 3, 3, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 1, 5, 8, 8, 5, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 2, 2, 3, 5, 6, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 5, 3, 2, 3, 6, 9, 9, 8, 6, 5, 4, 5, 6, 6, 3, 4, 5, 5, 3, 2, 4, 5, 3, 4, 4, 5, 5, 6, 6, 7, 3, 5, 21, 38, 34, 13, 5, 13, 2, 0, 11, 16, 4, 0, 2, 3, 6, 4, 3, 3, 4, 5, 4, 2, 2, 3, 4, 5, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 9, 0, 13, 3, 8, 0, 3, 1, 9, 8, 8, 8, 8, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 3, 1, 3, 8, 10, 6, 2, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 1, 9, 12, 7, 5, 8, 7, 2, 10, 10, 9, 8, 6, 5, 5, 4, 5, 4, 3, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 3, 20, 76, 51, 0, 6, 12, 0, 8, 8, 7, 7, 6, 6, 5, 5, 5, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 4, 6, 7, 7, 7, 6, 8, 8, 6, 3, 1, 2, 5, 8, 6, 6, 6, 7, 7, 8, 9, 9, 6, 6, 5, 4, 3, 3, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 3, 0, 6, 0, 26, 5, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 16, 11, 4, 1, 2, 4, 5, 4, 6, 5, 3, 2, 2, 3, 5, 6, 4, 3, 1, 1, 3, 7, 12, 15, 2, 10, 6, 2, 6, 4, 0, 3, 3, 0, 10, 26, 11, 1, 11, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 4, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 11, 9, 6, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 8, 7, 5, 4, 4, 5, 7, 8, 4, 4, 4, 3, 3, 2, 2, 2, 2, 5, 7, 7, 5, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 5, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 12, 4, 0, 8, 7, 1, 2, 4, 3, 2, 3, 4, 4, 2, 0, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 8, 7, 7, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 3, 1, 0, 2, 4, 6, 1, 3, 5, 6, 6, 5, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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5, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 6, 7, 5, 5, 5, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 6, 5, 4, 3, 4, 5, 6, 7, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 6, 7, 5, 5, 6, 6, 6, 7, 7, 7, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 4, 4, 4, 5, 6, 7, 6, 5, 5, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 6, 5, 5, 5, 5, 5, 8, 6, 4, 3, 3, 4, 6, 8, 5, 6, 6, 7, 6, 6, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 3, 3, 3, 8, 8, 7, 6, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 2, 1, 4, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 7, 5, 6, 14, 25, 7, 7, 7, 7, 6, 6, 5, 5, 7, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 6, 7, 7, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 3, 3, 4, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 2, 1, 3, 6, 8, 9, 8, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 5, 7, 9, 8, 6, 5, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 6, 0, 7, 21, 17, 3, 2, 9, 6, 4, 4, 5, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 7, 5, 4, 2, 6, 6, 6, 7, 7, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 4, 6, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 8, 7, 5, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 7, 6, 5, 3, 3, 2, 3, 3, 7, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 12, 17, 15, 9, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 5, 4, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 7, 0, 17, 0, 19, 0, 0, 20, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 5, 6, 6, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 5, 4, 5, 6, 7, 7, 7, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 7, 6, 5, 6, 8, 5, 5, 6, 6, 6, 7, 7, 7, 4, 6, 7, 6, 4, 3, 4, 6, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 3, 3, 3, 3, 7, 6, 4, 2, 2, 4, 6, 7, 3, 4, 4, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 3, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 3, 2, 6, 8, 8, 10, 14, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 5, 5, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 7, 7, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 1, 2, 4, 7, 9, 8, 4, 1, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 6, 6, 5, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 6, 3, 1, 0, 10, 37, 14, 11, 8, 6, 7, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 6, 4, 3, 6, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 4, 2, 1, 2, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 7, 8, 7, 6, 5, 6, 8, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 8, 8, 7, 6, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 6, 10, 9, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 5, 4, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 14, 0, 17, 0, 16, 2, 12, 12, 6, 5, 4, 4, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 7, 8, 8, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 7, 7, 5, 5, 6, 7, 4, 5, 5, 5, 6, 6, 6, 7, 5, 6, 7, 6, 4, 3, 4, 5, 4, 4, 4, 4, 5, 6, 7, 8, 7, 7, 7, 6, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 2, 2, 3, 3, 6, 5, 4, 3, 3, 4, 5, 6, 2, 3, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 7, 9, 10, 9, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 2, 1, 5, 8, 7, 5, 6, 4, 4, 4, 4, 3, 3, 2, 2, 2, 3, 4, 5, 5, 5, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 6, 5, 4, 3, 3, 3, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 6, 5, 4, 4, 4, 5, 7, 8, 4, 5, 6, 7, 7, 6, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 9, 7, 5, 5, 5, 6, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 0, 8, 11, 6, 1, 7, 43, 92, 17, 14, 10, 7, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 7, 8, 8, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 8, 8, 6, 6, 7, 8, 5, 5, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 7, 7, 6, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 2, 4, 6, 5, 1, 2, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 7, 7, 6, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 0, 8, 0, 4, 0, 12, 2, 0, 4, 4, 3, 3, 3, 4, 5, 6, 7, 6, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 8, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 6, 5, 4, 5, 7, 3, 4, 4, 4, 5, 5, 5, 6, 5, 6, 7, 6, 4, 3, 4, 5, 4, 3, 3, 4, 5, 6, 7, 8, 8, 8, 7, 6, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 7, 7, 7, 8, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 3, 2, 4, 7, 9, 8, 8, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 2, 3, 5, 5, 2, 3, 7, 4, 4, 4, 3, 3, 2, 2, 2, 1, 2, 4, 5, 5, 5, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 8, 7, 6, 6, 8, 7, 6, 5, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 7, 6, 4, 3, 4, 6, 8, 9, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 3, 1, 1, 4, 6, 7, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 13, 6, 0, 2, 12, 9, 10, 26, 17, 13, 8, 5, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 7, 7, 8, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 8, 7, 7, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 8, 8, 6, 6, 7, 8, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 4, 4, 3, 3, 2, 5, 4, 3, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 8, 5, 5, 6, 5, 2, 5, 10, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 5, 3, 2, 2, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 23, 5, 0, 11, 0, 6, 8, 3, 3, 3, 3, 3, 5, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 2, 3, 5, 5, 5, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 5, 6, 8, 9, 10, 9, 7, 5, 4, 4, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 4, 4, 5, 6, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 7, 6, 4, 3, 4, 5, 3, 3, 3, 4, 5, 6, 7, 8, 9, 8, 7, 7, 6, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 6, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 4, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 9, 6, 6, 5, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 10, 6, 3, 4, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 5, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 6, 1, 0, 3, 12, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 8, 8, 7, 6, 3, 3, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 9, 9, 8, 6, 5, 8, 8, 6, 5, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 2, 1, 3, 5, 6, 6, 5, 3, 1, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 7, 6, 4, 3, 4, 6, 8, 9, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 6, 8, 8, 5, 2, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 7, 8, 7, 6, 6, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 16, 13, 9, 5, 3, 2, 4, 5, 7, 8, 9, 7, 5, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 5, 7, 8, 7, 5, 4, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 7, 7, 8, 7, 7, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 5, 3, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 6, 5, 3, 2, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 0, 3, 7, 8, 7, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 2, 2, 4, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 5, 7, 8, 6, 5, 2, 1, 2, 6, 9, 10, 7, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 2, 3, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 7, 4, 5, 6, 7, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 4, 4, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 3, 3, 2, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 4, 2, 2, 1, 6, 9, 6, 1, 0, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 6, 3, 2, 4, 7, 9, 9, 4, 4, 4, 5, 4, 4, 3, 3, 3, 3, 4, 4, 6, 6, 7, 7, 9, 9, 9, 7, 4, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 6, 4, 4, 2, 3, 5, 6, 7, 6, 5, 4, 7, 5, 5, 5, 6, 6, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 3, 3, 3, 4, 5, 6, 7, 8, 6, 5, 5, 5, 5, 7, 8, 8, 4, 4, 4, 4, 4, 5, 7, 7, 8, 6, 4, 4, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 7, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 6, 5, 4, 4, 5, 6, 8, 7, 7, 6, 6, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 12, 0, 4, 14, 0, 6, 7, 4, 4, 12, 20, 21, 12, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 11, 11, 14, 0, 0, 16, 1, 2, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 2, 4, 9, 9, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 5, 7, 6, 6, 6, 7, 9, 7, 5, 4, 4, 6, 6, 5, 3, 1, 8, 12, 10, 4, 3, 10, 18, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 4, 4, 3, 3, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 5, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 9, 6, 3, 2, 3, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 10, 8, 6, 4, 3, 3, 4, 5, 7, 8, 9, 7, 5, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 5, 7, 7, 6, 5, 4, 7, 7, 5, 5, 5, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 5, 3, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 3, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 0, 3, 7, 8, 7, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 3, 3, 3, 3, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 5, 6, 7, 6, 4, 3, 2, 2, 5, 8, 9, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 5, 6, 6, 2, 3, 5, 6, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 5, 5, 5, 4, 3, 2, 4, 5, 4, 3, 4, 5, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 3, 3, 5, 7, 8, 8, 3, 4, 5, 6, 6, 5, 4, 3, 3, 3, 4, 5, 5, 6, 7, 7, 8, 9, 10, 8, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 3, 4, 5, 6, 7, 6, 5, 5, 6, 5, 4, 6, 7, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 3, 3, 4, 5, 6, 7, 8, 3, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 8, 6, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 3, 4, 4, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 7, 7, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 6, 13, 6, 1, 2, 1, 7, 6, 4, 4, 9, 15, 15, 9, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 0, 36, 19, 0, 2, 4, 11, 12, 4, 5, 6, 6, 7, 7, 6, 6, 3, 6, 5, 2, 4, 9, 8, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 6, 7, 7, 5, 5, 6, 8, 6, 4, 3, 4, 6, 7, 6, 4, 2, 6, 9, 7, 3, 2, 7, 13, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 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8, 7, 7, 6, 5, 5, 4, 3, 3, 7, 6, 5, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 6, 7, 7, 7, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 4, 5, 6, 5, 3, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 10, 9, 8, 6, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 9, 8, 6, 5, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 2, 3, 4, 5, 5, 5, 4, 4, 5, 12, 23, 29, 19, 3, 2, 10, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 5, 7, 7, 5, 3, 5, 5, 6, 7, 8, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 9, 8, 6, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 16, 13, 9, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 6, 7, 8, 8, 6, 5, 4, 7, 6, 5, 4, 4, 4, 5, 5, 8, 6, 4, 4, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 6, 6, 6, 8, 8, 7, 6, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 8, 7, 6, 5, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 7, 7, 6, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 0, 7, 18, 7, 11, 14, 0, 9, 8, 8, 7, 5, 3, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 16, 5, 5, 18, 4, 0, 16, 0, 3, 4, 5, 6, 6, 6, 6, 5, 8, 4, 3, 6, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 5, 4, 3, 3, 4, 4, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 6, 5, 3, 3, 4, 5, 4, 3, 3, 4, 6, 7, 7, 6, 7, 6, 5, 6, 6, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 6, 9, 12, 12, 11, 7, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 7, 6, 5, 5, 4, 3, 4, 5, 5, 3, 3, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 7, 5, 5, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 9, 7, 5, 5, 6, 8, 7, 7, 6, 5, 5, 4, 3, 3, 7, 5, 4, 2, 2, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 5, 5, 6, 7, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 6, 7, 7, 5, 3, 3, 4, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 6, 7, 8, 8, 6, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 6, 7, 7, 6, 5, 5, 5, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 9, 9, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 5, 6, 7, 6, 4, 2, 5, 8, 8, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 7, 6, 4, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 5, 6, 7, 6, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 2, 3, 4, 5, 5, 5, 5, 4, 6, 8, 17, 24, 16, 3, 2, 10, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 4, 6, 6, 5, 3, 5, 5, 5, 5, 6, 7, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 6, 4, 3, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 4, 5, 6, 5, 5, 4, 3, 4, 5, 6, 7, 14, 11, 8, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 8, 6, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 6, 7, 7, 7, 8, 7, 6, 5, 5, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 5, 6, 6, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 6, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 1, 7, 22, 3, 41, 63, 4, 12, 7, 6, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 0, 0, 12, 3, 0, 16, 1, 3, 4, 5, 6, 6, 6, 6, 6, 9, 4, 2, 6, 7, 4, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 3, 2, 3, 5, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 2, 4, 5, 5, 3, 3, 4, 6, 6, 4, 3, 4, 6, 7, 6, 4, 4, 5, 6, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 6, 6, 4, 4, 4, 4, 6, 6, 5, 6, 6, 7, 7, 8, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 8, 5, 3, 3, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 2, 4, 5, 5, 3, 3, 4, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 7, 7, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 8, 9, 9, 7, 5, 5, 6, 8, 7, 7, 6, 6, 4, 4, 3, 3, 6, 5, 3, 1, 1, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 6, 7, 7, 5, 3, 2, 4, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 6, 8, 9, 8, 6, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 9, 9, 6, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 5, 7, 8, 6, 5, 1, 5, 9, 9, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 2, 3, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 7, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 4, 4, 3, 2, 1, 1, 2, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 5, 6, 7, 6, 6, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 7, 6, 6, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 3, 2, 2, 4, 5, 5, 5, 5, 5, 6, 2, 6, 13, 11, 1, 0, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 3, 5, 6, 5, 4, 6, 5, 3, 3, 4, 6, 9, 11, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 2, 2, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 4, 4, 4, 6, 7, 6, 5, 4, 3, 4, 5, 7, 8, 9, 6, 3, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 4, 3, 3, 3, 3, 3, 7, 7, 5, 4, 4, 4, 4, 4, 8, 6, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 8, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 5, 6, 8, 10, 5, 5, 5, 6, 6, 7, 7, 8, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 11, 2, 12, 0, 75, 117, 19, 11, 6, 4, 2, 2, 4, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 13, 17, 7, 11, 7, 2, 12, 2, 4, 5, 6, 7, 7, 7, 6, 6, 10, 4, 2, 7, 8, 3, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 6, 4, 2, 1, 2, 5, 8, 11, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 1, 3, 4, 4, 4, 3, 5, 7, 7, 5, 4, 4, 6, 6, 5, 3, 1, 4, 6, 7, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 7, 5, 3, 2, 2, 4, 7, 9, 6, 5, 5, 4, 4, 5, 5, 6, 9, 6, 3, 2, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 7, 7, 6, 6, 4, 4, 3, 3, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 7, 7, 6, 5, 4, 5, 8, 10, 6, 1, 0, 6, 12, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 5, 6, 5, 3, 2, 3, 4, 4, 6, 11, 0, 10, 0, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 9, 0, 7, 0, 8, 2, 16, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 4, 3, 4, 5, 0, 2, 4, 6, 7, 8, 7, 7, 0, 3, 6, 7, 5, 3, 3, 3, 10, 9, 7, 5, 3, 2, 2, 2, 5, 5, 5, 4, 4, 3, 3, 2, 5, 6, 6, 7, 7, 6, 6, 5, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 4, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 10, 9, 9, 8, 7, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 7, 5, 5, 6, 7, 3, 4, 4, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 9, 9, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 8, 9, 8, 5, 4, 5, 5, 5, 4, 7, 10, 9, 6, 4, 4, 5, 8, 6, 5, 7, 10, 10, 7, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 9, 8, 5, 3, 2, 3, 4, 4, 3, 3, 5, 6, 6, 6, 6, 6, 3, 4, 5, 5, 4, 4, 6, 9, 4, 4, 4, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 6, 6, 6, 6, 6, 6, 7, 8, 6, 4, 2, 2, 3, 6, 6, 6, 5, 5, 4, 4, 4, 10, 9, 7, 5, 4, 4, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 1, 2, 3, 3, 3, 3, 3, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 5, 6, 6, 6, 6, 6, 2, 3, 5, 5, 5, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 7, 8, 8, 7, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 8, 9, 9, 7, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 5, 6, 6, 7, 7, 8, 2, 5, 9, 8, 4, 2, 4, 7, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 4, 3, 3, 6, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 8, 18, 28, 29, 19, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 10, 9, 7, 7, 8, 9, 13, 8, 4, 4, 9, 10, 7, 3, 3, 4, 5, 5, 3, 3, 4, 5, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 3, 4, 6, 7, 8, 9, 4, 4, 6, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 0, 2, 7, 11, 8, 3, 2, 6, 8, 7, 7, 6, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 4, 8, 6, 1, 2, 7, 3, 3, 4, 4, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 6, 5, 5, 4, 4, 17, 11, 0, 14, 9, 0, 11, 3, 3, 3, 6, 7, 6, 3, 0, 10, 7, 4, 3, 5, 6, 4, 1, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 7, 9, 10, 9, 6, 3, 0, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 5, 5, 3, 3, 4, 3, 2, 2, 3, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 5, 5, 5, 6, 7, 8, 6, 4, 3, 4, 5, 2, 13, 9, 7, 6, 5, 0, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 0, 11, 29, 15, 2, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 4, 3, 4, 5, 3, 4, 5, 6, 6, 6, 5, 4, 1, 4, 7, 7, 6, 4, 3, 4, 9, 8, 6, 5, 4, 3, 3, 3, 6, 6, 5, 5, 4, 4, 3, 3, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 9, 8, 8, 7, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 4, 3, 4, 6, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 6, 8, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 0, 0, 4, 7, 9, 10, 8, 6, 2, 5, 8, 8, 6, 4, 5, 7, 3, 3, 3, 4, 5, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 7, 6, 5, 4, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 6, 5, 4, 4, 5, 7, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 6, 7, 8, 7, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 9, 8, 7, 6, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 29, 12, 1, 6, 8, 1, 0, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 3, 4, 5, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 7, 7, 7, 7, 7, 8, 8, 4, 4, 4, 5, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 4, 2, 3, 5, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 2, 3, 9, 16, 17, 10, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 5, 5, 6, 7, 8, 5, 2, 3, 5, 6, 4, 2, 4, 6, 7, 6, 4, 4, 5, 6, 2, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 6, 7, 7, 8, 4, 5, 6, 7, 7, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 5, 6, 10, 14, 11, 6, 5, 8, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 1, 2, 6, 5, 0, 0, 4, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 1, 132, 19, 15, 0, 7, 9, 13, 5, 4, 5, 7, 9, 8, 5, 2, 11, 8, 5, 5, 7, 8, 6, 4, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 8, 8, 7, 5, 3, 2, 7, 7, 6, 5, 5, 4, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 3, 3, 4, 4, 4, 3, 3, 2, 9, 4, 2, 6, 14, 16, 10, 2, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 7, 7, 7, 6, 6, 8, 9, 9, 8, 5, 3, 4, 5, 3, 16, 2, 11, 0, 8, 0, 9, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 11, 13, 24, 58, 27, 13, 0, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 4, 3, 4, 5, 5, 6, 6, 6, 6, 5, 3, 3, 3, 5, 8, 8, 6, 5, 4, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 5, 5, 5, 5, 4, 4, 7, 7, 6, 6, 5, 4, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 3, 2, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 4, 6, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 5, 4, 4, 17, 12, 6, 3, 3, 3, 5, 6, 1, 3, 6, 6, 5, 5, 6, 7, 1, 2, 3, 2, 2, 2, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 1, 3, 5, 7, 7, 6, 5, 3, 3, 4, 5, 6, 6, 6, 5, 5, 5, 6, 7, 6, 4, 3, 4, 6, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 6, 7, 8, 7, 6, 5, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 7, 7, 7, 7, 6, 5, 4, 3, 4, 5, 6, 7, 7, 7, 6, 6, 47, 16, 0, 5, 11, 1, 0, 9, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 4, 3, 3, 4, 6, 7, 8, 8, 8, 8, 8, 7, 7, 7, 6, 3, 1, 3, 8, 10, 7, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 3, 2, 2, 4, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 3, 2, 3, 4, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 3, 3, 4, 5, 5, 4, 4, 3, 3, 3, 3, 2, 5, 6, 8, 7, 5, 5, 6, 7, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 7, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 7, 11, 9, 3, 1, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 10, 10, 7, 5, 6, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 4, 4, 40, 221, 53, 24, 18, 13, 0, 9, 7, 6, 7, 8, 10, 9, 7, 4, 8, 6, 5, 5, 7, 7, 6, 5, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 3, 4, 5, 6, 7, 7, 5, 5, 5, 5, 4, 4, 3, 3, 10, 7, 6, 12, 20, 21, 14, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 7, 7, 6, 6, 6, 7, 8, 9, 7, 4, 3, 3, 4, 7, 10, 0, 3, 3, 9, 0, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 14, 34, 11, 4, 0, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 8, 8, 6, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 5, 4, 3, 4, 6, 6, 6, 5, 5, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 2, 3, 5, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 4, 3, 3, 5, 1, 0, 3, 6, 8, 11, 15, 3, 4, 5, 5, 5, 5, 5, 5, 2, 4, 6, 5, 3, 3, 8, 12, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 0, 2, 4, 5, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 5, 4, 5, 6, 7, 7, 4, 3, 3, 4, 6, 6, 5, 5, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 4, 5, 7, 8, 8, 6, 6, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 5, 3, 2, 5, 5, 6, 7, 7, 7, 6, 5, 32, 10, 0, 1, 8, 5, 3, 7, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 5, 5, 7, 8, 8, 7, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 5, 6, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 8, 8, 8, 7, 7, 6, 6, 5, 6, 5, 3, 5, 7, 7, 5, 2, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 2, 3, 4, 3, 2, 1, 3, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 5, 4, 3, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 4, 3, 2, 3, 5, 4, 5, 7, 6, 5, 4, 4, 5, 4, 6, 7, 6, 5, 4, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 6, 6, 5, 5, 6, 4, 6, 8, 7, 2, 0, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 12, 14, 12, 9, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 5, 6, 6, 0, 23, 5, 4, 0, 9, 25, 4, 7, 6, 6, 7, 9, 9, 7, 5, 3, 3, 3, 4, 4, 5, 4, 3, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 6, 7, 7, 8, 8, 7, 7, 6, 5, 5, 5, 5, 2, 2, 5, 9, 13, 12, 8, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 5, 7, 7, 6, 3, 2, 2, 3, 9, 2, 3, 5, 30, 17, 8, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 0, 12, 4, 5, 1, 12, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 4, 5, 4, 4, 4, 4, 5, 5, 6, 6, 4, 6, 8, 7, 6, 5, 6, 7, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 6, 5, 4, 5, 7, 5, 5, 5, 4, 3, 3, 2, 2, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 3, 3, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 4, 3, 3, 0, 0, 5, 12, 11, 3, 0, 0, 8, 7, 6, 5, 4, 4, 3, 2, 4, 6, 7, 6, 4, 5, 9, 13, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 12, 11, 9, 7, 6, 5, 6, 6, 4, 5, 6, 6, 6, 5, 4, 4, 4, 6, 8, 7, 5, 3, 3, 3, 4, 4, 4, 4, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 5, 4, 4, 5, 7, 8, 8, 6, 6, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 6, 5, 3, 2, 5, 6, 7, 7, 7, 6, 5, 5, 6, 5, 3, 0, 4, 9, 7, 1, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 6, 6, 6, 5, 4, 4, 5, 5, 7, 8, 8, 7, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 4, 4, 6, 8, 9, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 4, 5, 7, 9, 8, 4, 2, 2, 3, 6, 6, 4, 4, 4, 4, 6, 6, 4, 5, 6, 6, 6, 6, 5, 4, 1, 3, 4, 4, 2, 2, 2, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 6, 8, 7, 5, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 5, 4, 3, 4, 6, 2, 5, 7, 7, 5, 4, 5, 5, 3, 5, 6, 5, 4, 3, 4, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 6, 7, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 11, 8, 8, 11, 10, 6, 4, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 5, 8, 11, 12, 9, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 21, 1, 16, 2, 24, 7, 0, 6, 6, 5, 4, 5, 7, 7, 5, 4, 2, 3, 5, 5, 5, 4, 4, 4, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 6, 4, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 10, 9, 7, 6, 6, 5, 6, 6, 0, 1, 5, 6, 6, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 5, 6, 5, 3, 2, 3, 4, 8, 0, 12, 17, 51, 27, 14, 1, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 10, 6, 19, 0, 12, 9, 21, 0, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 7, 6, 4, 3, 4, 5, 5, 4, 4, 4, 4, 5, 7, 7, 4, 6, 7, 6, 5, 4, 5, 7, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 6, 8, 7, 5, 5, 6, 7, 4, 4, 4, 4, 3, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 3, 3, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 16, 11, 8, 7, 1, 0, 7, 21, 12, 10, 7, 5, 5, 5, 3, 2, 3, 4, 5, 5, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 22, 19, 15, 10, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 3, 5, 7, 8, 6, 4, 3, 4, 4, 4, 3, 3, 3, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 6, 7, 8, 7, 6, 5, 6, 7, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 4, 3, 6, 6, 7, 7, 7, 6, 5, 4, 0, 7, 11, 4, 3, 9, 7, 0, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 8, 11, 8, 3, 0, 2, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 6, 6, 6, 6, 5, 5, 1, 3, 5, 5, 4, 3, 3, 4, 6, 5, 5, 4, 4, 5, 5, 6, 1, 3, 6, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 6, 4, 4, 5, 6, 1, 2, 3, 5, 5, 5, 3, 2, 3, 4, 5, 5, 3, 2, 4, 5, 7, 7, 7, 6, 6, 6, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 10, 6, 5, 8, 9, 6, 3, 4, 8, 8, 7, 6, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 7, 12, 15, 12, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 8, 0, 2, 19, 0, 0, 17, 6, 5, 3, 2, 3, 4, 5, 4, 3, 5, 7, 10, 10, 8, 6, 6, 6, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 10, 9, 7, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 2, 3, 4, 6, 5, 4, 4, 5, 7, 6, 3, 6, 18, 36, 22, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 5, 4, 4, 3, 3, 4, 4, 5, 5, 0, 3, 1, 1, 3, 7, 0, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 7, 6, 4, 3, 4, 5, 7, 6, 5, 4, 4, 4, 5, 6, 4, 5, 6, 5, 3, 3, 4, 6, 6, 6, 5, 4, 4, 4, 5, 5, 3, 3, 4, 4, 5, 5, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 6, 7, 6, 4, 4, 5, 6, 2, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 4, 4, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 5, 6, 0, 0, 0, 0, 6, 32, 61, 13, 10, 6, 5, 7, 7, 6, 4, 4, 3, 3, 4, 6, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 15, 13, 11, 9, 6, 4, 3, 2, 5, 6, 6, 6, 6, 5, 4, 3, 1, 4, 7, 8, 7, 5, 4, 5, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 6, 7, 8, 7, 4, 3, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 2, 7, 9, 7, 5, 6, 5, 2, 5, 6, 6, 7, 7, 6, 6, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 5, 6, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 6, 7, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 3, 3, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 6, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 2, 4, 6, 7, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 3, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 3, 5, 6, 3, 2, 2, 5, 8, 8, 5, 1, 4, 5, 6, 6, 4, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 7, 2, 1, 5, 7, 4, 2, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 12, 19, 16, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 0, 38, 0, 2, 8, 2, 4, 16, 5, 3, 2, 2, 4, 5, 4, 3, 6, 9, 12, 12, 9, 6, 6, 6, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 6, 6, 5, 9, 8, 6, 4, 3, 3, 4, 4, 8, 5, 1, 0, 2, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 5, 6, 6, 6, 6, 7, 9, 6, 6, 0, 9, 5, 10, 0, 13, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 8, 9, 5, 4, 4, 3, 3, 4, 4, 5, 12, 4, 0, 16, 0, 10, 7, 14, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 7, 6, 4, 3, 4, 5, 10, 8, 6, 4, 3, 2, 3, 3, 3, 4, 5, 4, 2, 2, 4, 6, 7, 6, 5, 4, 4, 4, 4, 5, 2, 3, 3, 4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 5, 5, 3, 3, 4, 5, 1, 2, 2, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 10, 8, 5, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 6, 6, 6, 4, 6, 12, 14, 3, 0, 5, 25, 12, 9, 5, 5, 8, 10, 9, 7, 6, 4, 3, 5, 8, 8, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 0, 0, 2, 4, 5, 5, 4, 3, 6, 6, 6, 6, 6, 5, 3, 3, 0, 3, 6, 8, 7, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 3, 3, 6, 7, 8, 6, 4, 2, 2, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 2, 2, 3, 5, 6, 7, 7, 7, 7, 7, 6, 4, 4, 11, 3, 0, 6, 6, 1, 2, 9, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 6, 6, 5, 3, 3, 2, 3, 5, 5, 5, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 5, 5, 5, 7, 8, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 6, 7, 7, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 4, 4, 3, 3, 2, 3, 5, 6, 6, 5, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 8, 3, 1, 0, 3, 8, 10, 8, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 2, 5, 7, 8, 6, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 10, 6, 3, 2, 3, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 3, 3, 4, 5, 7, 4, 3, 7, 12, 13, 8, 3, 5, 6, 7, 7, 5, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 3, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 10, 5, 3, 7, 10, 8, 7, 7, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 2, 1, 8, 16, 14, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 3, 3, 2, 12, 3, 8, 4, 0, 5, 16, 0, 6, 4, 2, 2, 4, 5, 4, 3, 5, 9, 12, 11, 8, 4, 3, 4, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 4, 4, 4, 4, 4, 6, 7, 9, 10, 9, 7, 5, 3, 4, 8, 11, 8, 4, 1, 4, 8, 7, 6, 4, 3, 4, 6, 8, 10, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 6, 7, 7, 5, 4, 4, 6, 9, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 8, 9, 8, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 1, 2, 2, 3, 5, 5, 6, 7, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 6, 6, 7, 8, 5, 5, 5, 4, 4, 3, 3, 3, 6, 4, 2, 3, 5, 7, 7, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 2, 4, 5, 4, 4, 4, 4, 3, 2, 2, 3, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 5, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 9, 7, 5, 4, 4, 5, 7, 9, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 6, 6, 5, 4, 3, 6, 4, 4, 6, 7, 4, 1, 0, 5, 5, 5, 5, 5, 4, 2, 2, 4, 5, 6, 6, 4, 4, 5, 6, 14, 5, 0, 2, 6, 6, 3, 2, 7, 7, 7, 6, 6, 5, 5, 5, 2, 3, 3, 4, 4, 3, 3, 2, 7, 7, 7, 7, 7, 5, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 0, 4, 9, 8, 4, 3, 7, 11, 3, 3, 3, 4, 4, 4, 5, 5, 4, 7, 7, 4, 3, 6, 5, 2, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 3, 3, 3, 4, 5, 5, 11, 9, 5, 2, 1, 2, 4, 6, 9, 6, 3, 2, 3, 4, 3, 2, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 8, 12, 13, 9, 5, 3, 3, 3, 13, 18, 12, 4, 2, 5, 7, 10, 10, 9, 8, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 3, 2, 2, 5, 7, 8, 8, 7, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 4, 2, 3, 4, 7, 8, 8, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 10, 9, 9, 8, 7, 6, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 7, 8, 8, 7, 5, 4, 8, 7, 7, 6, 6, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 3, 2, 2, 3, 5, 5, 2, 4, 7, 9, 9, 8, 5, 3, 2, 7, 12, 12, 7, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 10, 8, 6, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 4, 5, 6, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 6, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 7, 8, 8, 7, 5, 4, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 3, 3, 5, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 2, 2, 3, 3, 4, 3, 3, 3, 4, 6, 8, 10, 11, 6, 7, 8, 9, 9, 7, 5, 3, 5, 9, 11, 9, 5, 3, 5, 9, 7, 6, 5, 4, 5, 6, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 6, 6, 4, 3, 3, 5, 7, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 8, 8, 7, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 2, 3, 3, 4, 4, 5, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 6, 4, 3, 3, 5, 7, 7, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 4, 4, 10, 16, 12, 3, 4, 5, 5, 5, 5, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 7, 7, 5, 4, 4, 5, 7, 7, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 6, 4, 4, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 4, 3, 2, 4, 5, 6, 6, 4, 4, 5, 6, 8, 4, 3, 5, 6, 3, 2, 5, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 5, 5, 4, 3, 6, 6, 5, 5, 5, 4, 4, 4, 3, 4, 5, 5, 5, 5, 5, 7, 3, 4, 4, 4, 5, 5, 5, 6, 5, 8, 8, 4, 4, 6, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 3, 3, 4, 4, 5, 9, 7, 5, 3, 3, 3, 4, 5, 6, 5, 4, 3, 4, 5, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 7, 9, 8, 6, 5, 7, 9, 10, 18, 21, 14, 6, 4, 5, 5, 9, 8, 8, 7, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 6, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 3, 1, 1, 3, 8, 12, 8, 7, 6, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 7, 6, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 9, 8, 8, 7, 6, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 7, 8, 8, 7, 5, 4, 5, 4, 4, 4, 4, 4, 3, 3, 4, 5, 7, 8, 8, 7, 5, 4, 1, 1, 2, 2, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 3, 3, 4, 5, 6, 3, 4, 5, 7, 7, 6, 4, 3, 5, 9, 13, 12, 7, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 8, 7, 6, 4, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 3, 3, 4, 5, 6, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 6, 7, 7, 6, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 3, 4, 5, 6, 6, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 5, 3, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 6, 7, 9, 10, 6, 7, 8, 8, 8, 7, 5, 4, 6, 9, 11, 10, 6, 5, 7, 9, 7, 7, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 5, 4, 2, 2, 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5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 3, 5, 6, 5, 3, 3, 4, 6, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 8, 8, 6, 4, 2, 8, 7, 6, 6, 4, 4, 3, 2, 3, 4, 6, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 8, 6, 3, 14, 29, 22, 2, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 8, 6, 4, 3, 2, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 6, 6, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 7, 8, 8, 9, 5, 6, 6, 6, 6, 5, 4, 3, 7, 6, 4, 1, 2, 6, 6, 3, 3, 4, 5, 5, 5, 4, 3, 3, 4, 5, 6, 6, 4, 4, 5, 6, 11, 7, 5, 6, 4, 1, 3, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 2, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 7, 3, 2, 9, 18, 19, 10, 0, 5, 5, 6, 6, 6, 7, 7, 7, 7, 10, 9, 6, 5, 8, 8, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 4, 3, 3, 3, 3, 3, 4, 5, 6, 7, 6, 5, 4, 1, 3, 5, 5, 3, 3, 6, 8, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 7, 11, 14, 3, 5, 5, 2, 3, 6, 4, 0, 5, 5, 5, 6, 6, 7, 7, 8, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 5, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 7, 7, 7, 7, 6, 6, 6, 6, 5, 3, 2, 5, 9, 13, 6, 6, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 6, 5, 4, 3, 3, 6, 6, 5, 4, 3, 5, 8, 10, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 6, 6, 7, 7, 8, 4, 5, 7, 8, 8, 7, 5, 4, 13, 11, 8, 5, 3, 3, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 4, 5, 6, 8, 10, 9, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 7, 5, 4, 3, 3, 4, 5, 7, 7, 7, 7, 6, 6, 6, 5, 5, 4, 5, 7, 8, 7, 5, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 5, 4, 5, 6, 7, 7, 7, 7, 7, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 4, 6, 7, 7, 5, 4, 5, 7, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 8, 8, 6, 4, 2, 8, 7, 6, 6, 4, 4, 3, 2, 3, 4, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 0, 8, 8, 3, 8, 18, 15, 2, 2, 2, 1, 2, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 4, 2, 3, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 6, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 7, 8, 8, 9, 5, 6, 6, 6, 6, 5, 4, 3, 4, 6, 4, 1, 3, 10, 10, 7, 3, 3, 4, 5, 5, 5, 4, 3, 4, 5, 6, 6, 4, 4, 5, 6, 21, 11, 3, 3, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 7, 7, 7, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 3, 6, 16, 25, 25, 14, 3, 5, 5, 6, 6, 6, 7, 7, 7, 7, 10, 9, 6, 5, 8, 8, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 9, 8, 6, 5, 4, 3, 3, 3, 2, 4, 6, 7, 7, 6, 5, 4, 2, 3, 4, 4, 3, 3, 3, 4, 4, 5, 6, 6, 4, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 5, 6, 7, 7, 7, 6, 7, 6, 3, 6, 10, 9, 4, 4, 4, 5, 5, 6, 7, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 7, 8, 7, 5, 5, 5, 7, 5, 5, 4, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 10, 14, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 7, 7, 8, 4, 5, 7, 8, 8, 7, 5, 4, 15, 13, 10, 6, 4, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 6, 4, 3, 4, 5, 6, 4, 5, 7, 7, 6, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 7, 6, 5, 3, 3, 5, 6, 7, 12, 12, 10, 9, 7, 6, 5, 4, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 3, 0, 1, 4, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 3, 4, 4, 4, 4, 5, 5, 5, 7, 7, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 4, 6, 8, 8, 6, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 6, 6, 6, 6, 6, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 8, 6, 4, 4, 5, 6, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 7, 6, 6, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 0, 5, 7, 4, 4, 7, 7, 5, 4, 3, 2, 2, 3, 4, 6, 8, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 4, 3, 4, 5, 6, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 5, 6, 6, 6, 6, 5, 4, 3, 0, 5, 5, 2, 6, 15, 17, 11, 2, 3, 4, 5, 5, 5, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 22, 10, 1, 1, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 3, 4, 9, 18, 24, 22, 14, 6, 4, 5, 5, 5, 6, 6, 6, 7, 6, 9, 9, 5, 5, 7, 7, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 8, 7, 6, 5, 4, 4, 5, 5, 4, 5, 6, 7, 7, 5, 4, 3, 5, 3, 3, 4, 6, 6, 4, 1, 4, 5, 6, 6, 4, 4, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 6, 8, 7, 5, 2, 7, 8, 6, 2, 3, 6, 5, 1, 4, 4, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 7, 9, 8, 6, 4, 3, 3, 4, 4, 4, 3, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 5, 6, 5, 3, 5, 10, 15, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 5, 4, 5, 7, 8, 8, 7, 5, 4, 8, 7, 5, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 10, 8, 7, 5, 4, 4, 5, 6, 4, 4, 4, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 13, 12, 11, 9, 7, 6, 4, 4, 7, 6, 5, 3, 3, 4, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 6, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 2, 0, 0, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 4, 4, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 6, 7, 4, 4, 4, 4, 5, 6, 6, 6, 7, 6, 5, 4, 5, 6, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 3, 5, 7, 7, 6, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 5, 6, 6, 7, 7, 8, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 6, 6, 7, 7, 7, 8, 6, 4, 4, 5, 5, 5, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 2, 2, 5, 5, 2, 5, 11, 10, 8, 6, 4, 4, 4, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 6, 5, 3, 3, 3, 3, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 0, 5, 6, 2, 5, 13, 13, 5, 2, 3, 4, 5, 5, 5, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 11, 5, 2, 4, 6, 4, 3, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 3, 6, 11, 13, 13, 11, 9, 8, 3, 4, 4, 4, 5, 5, 5, 6, 5, 8, 8, 4, 4, 6, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 7, 7, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 7, 3, 1, 5, 10, 12, 8, 3, 4, 5, 6, 6, 4, 4, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 6, 4, 4, 5, 7, 8, 5, 2, 4, 6, 5, 0, 0, 2, 3, 1, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 5, 6, 6, 4, 3, 4, 5, 4, 3, 3, 3, 4, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 3, 3, 4, 6, 7, 8, 5, 7, 9, 7, 4, 3, 7, 12, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 4, 5, 7, 8, 8, 7, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 5, 6, 6, 5, 4, 3, 8, 7, 6, 5, 4, 4, 4, 4, 6, 5, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 3, 3, 4, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 9, 8, 8, 7, 6, 5, 5, 5, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 7, 11, 10, 5, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 5, 5, 4, 5, 7, 8, 7, 7, 7, 6, 4, 3, 4, 6, 8, 10, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 1, 4, 6, 6, 5, 3, 3, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 3, 4, 5, 5, 7, 8, 8, 9, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 6, 6, 7, 8, 5, 5, 5, 6, 6, 7, 7, 7, 8, 6, 4, 4, 5, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 5, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 9, 0, 0, 6, 8, 3, 6, 15, 15, 13, 10, 7, 5, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 5, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 6, 5, 3, 1, 1, 3, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 6, 6, 5, 4, 3, 0, 7, 6, 0, 0, 6, 3, 0, 2, 2, 4, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 0, 0, 3, 7, 6, 1, 1, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 7, 7, 8, 8, 7, 7, 6, 5, 5, 5, 5, 4, 3, 2, 2, 5, 5, 5, 4, 4, 3, 3, 3, 4, 8, 10, 8, 3, 1, 4, 9, 3, 3, 3, 4, 4, 4, 5, 5, 4, 7, 7, 4, 3, 6, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 5, 5, 5, 6, 7, 7, 8, 7, 6, 5, 4, 3, 3, 2, 8, 3, 0, 5, 14, 18, 12, 5, 4, 5, 6, 6, 4, 4, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 6, 4, 2, 3, 6, 8, 7, 5, 2, 6, 7, 4, 3, 7, 10, 10, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 4, 3, 2, 2, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 2, 3, 4, 4, 3, 2, 2, 3, 4, 4, 2, 1, 2, 6, 9, 3, 3, 3, 3, 3, 4, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 3, 3, 3, 4, 6, 8, 10, 7, 10, 12, 9, 4, 2, 5, 9, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 8, 7, 7, 6, 6, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 6, 5, 4, 3, 1, 0, 6, 5, 5, 4, 4, 5, 5, 6, 2, 3, 5, 5, 5, 5, 3, 2, 6, 6, 5, 5, 4, 3, 2, 1, 8, 6, 4, 4, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 1, 2, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 3, 2, 2, 3, 5, 6, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 1, 2, 5, 8, 8, 7, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 7, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 14, 25, 22, 9, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 2, 2, 3, 3, 4, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 3, 3, 5, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 7, 8, 7, 5, 3, 7, 12, 9, 2, 4, 14, 16, 9, 8, 7, 7, 6, 6, 5, 5, 5, 6, 6, 5, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 8, 7, 6, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 6, 6, 5, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 5, 3, 2, 3, 6, 8, 2, 0, 9, 7, 27, 11, 16, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 5, 4, 4, 5, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 2, 4, 5, 5, 4, 4, 7, 10, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 6, 8, 10, 13, 9, 5, 4, 5, 6, 4, 2, 5, 4, 3, 3, 5, 5, 4, 3, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 1, 3, 5, 7, 8, 7, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 8, 9, 9, 7, 5, 3, 3, 4, 2, 2, 2, 3, 3, 5, 6, 7, 9, 7, 5, 3, 2, 3, 5, 6, 3, 4, 5, 6, 6, 6, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 1, 5, 6, 1, 0, 2, 4, 3, 5, 4, 3, 3, 4, 5, 7, 8, 3, 4, 3, 2, 3, 6, 6, 4, 6, 6, 6, 5, 5, 4, 4, 4, 10, 9, 8, 8, 7, 6, 5, 5, 12, 7, 0, 8, 16, 8, 11, 2, 6, 5, 5, 4, 4, 5, 5, 6, 7, 8, 9, 9, 7, 6, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 3, 3, 3, 2, 2, 2, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 3, 1, 5, 2, 0, 3, 16, 10, 1, 25, 14, 0, 5, 12, 0, 5, 4, 5, 7, 9, 9, 7, 4, 2, 3, 3, 4, 4, 5, 5, 6, 5, 5, 5, 6, 6, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 9, 10, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 2, 2, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 5, 6, 7, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 2, 5, 4, 3, 4, 7, 6, 5, 3, 1, 2, 3, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 5, 4, 4, 6, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 6, 6, 5, 8, 7, 5, 4, 3, 4, 5, 6, 7, 7, 7, 7, 7, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 1, 2, 4, 5, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 3, 3, 5, 6, 0, 1, 5, 7, 7, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 5, 6, 6, 4, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 6, 7, 6, 5, 3, 2, 2, 3, 5, 6, 6, 5, 3, 2, 6, 4, 2, 2, 5, 7, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 8, 7, 5, 4, 3, 4, 4, 5, 2, 0, 4, 3, 8, 0, 27, 5, 11, 27, 34, 22, 5, 0, 2, 6, 5, 5, 5, 4, 4, 3, 3, 2, 1, 2, 3, 4, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 5, 5, 5, 6, 6, 6, 4, 4, 4, 6, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 4, 5, 5, 4, 2, 0, 3, 3, 0, 6, 19, 23, 18, 6, 6, 6, 6, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 8, 7, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 5, 3, 2, 4, 6, 2, 2, 0, 0, 34, 102, 61, 17, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 5, 5, 5, 5, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 9, 10, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 1, 0, 0, 2, 5, 7, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 9, 6, 4, 4, 6, 7, 6, 5, 6, 5, 4, 4, 6, 7, 6, 4, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 2, 3, 5, 6, 7, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 7, 8, 8, 7, 5, 3, 4, 5, 6, 6, 5, 5, 5, 6, 6, 7, 8, 7, 5, 3, 3, 3, 5, 6, 7, 7, 7, 7, 7, 6, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 3, 4, 4, 3, 8, 15, 16, 12, 6, 5, 4, 4, 4, 5, 6, 7, 6, 5, 5, 4, 5, 7, 8, 7, 6, 6, 6, 5, 5, 4, 4, 4, 8, 8, 7, 6, 5, 4, 4, 3, 0, 14, 22, 14, 0, 8, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 6, 7, 8, 8, 7, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 5, 4, 3, 3, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 2, 3, 7, 6, 6, 20, 39, 160, 50, 3, 9, 11, 14, 13, 19, 5, 4, 4, 6, 8, 8, 6, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 6, 7, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 4, 5, 6, 6, 6, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 5, 3, 3, 5, 7, 6, 5, 3, 3, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 6, 5, 5, 7, 6, 5, 4, 3, 4, 5, 5, 6, 7, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 5, 3, 4, 5, 7, 7, 7, 6, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 6, 8, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 6, 7, 6, 5, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 8, 6, 3, 3, 4, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 8, 7, 5, 4, 3, 4, 5, 5, 10, 9, 4, 0, 2, 5, 0, 10, 4, 13, 17, 11, 3, 3, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 5, 6, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 9, 8, 7, 6, 5, 5, 5, 6, 6, 5, 4, 5, 7, 8, 8, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 1, 1, 3, 3, 3, 2, 4, 8, 7, 2, 5, 14, 15, 10, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 7, 7, 6, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 8, 7, 6, 5, 4, 3, 4, 4, 5, 4, 4, 3, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 3, 5, 6, 11, 7, 10, 24, 123, 244, 152, 36, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 7, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 7, 9, 11, 12, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 7, 4, 4, 9, 15, 16, 9, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 6, 4, 4, 3, 2, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 3, 3, 3, 3, 5, 8, 9, 8, 7, 7, 6, 5, 5, 7, 8, 6, 5, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 3, 3, 3, 5, 6, 7, 6, 5, 4, 5, 7, 11, 10, 9, 7, 6, 6, 6, 6, 8, 6, 5, 3, 3, 4, 5, 6, 9, 9, 9, 8, 7, 5, 4, 3, 5, 5, 6, 6, 6, 7, 7, 7, 6, 4, 2, 4, 13, 22, 21, 14, 7, 6, 5, 4, 4, 4, 5, 5, 6, 5, 4, 5, 5, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 4, 3, 3, 3, 0, 9, 13, 9, 9, 58, 20, 2, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 8, 8, 7, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 1, 5, 8, 6, 10, 29, 51, 235, 84, 3, 7, 14, 1, 0, 6, 5, 4, 4, 5, 7, 8, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 7, 7, 7, 6, 5, 5, 4, 4, 3, 4, 5, 6, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 4, 5, 5, 5, 5, 4, 3, 3, 5, 6, 7, 7, 7, 7, 6, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 7, 8, 9, 7, 5, 3, 4, 4, 7, 7, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 8, 5, 2, 3, 5, 7, 6, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 7, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 7, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 5, 4, 4, 6, 9, 18, 12, 6, 3, 4, 6, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 7, 9, 8, 6, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 9, 7, 4, 4, 4, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 0, 7, 2, 2, 9, 29, 0, 31, 2, 4, 4, 2, 3, 7, 7, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 5, 4, 4, 5, 7, 8, 10, 4, 5, 5, 6, 6, 5, 5, 4, 11, 10, 8, 7, 6, 5, 5, 5, 5, 4, 3, 5, 7, 8, 8, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 3, 1, 1, 2, 4, 3, 3, 12, 13, 10, 4, 4, 8, 6, 1, 2, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 6, 5, 0, 8, 22, 120, 238, 138, 23, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 8, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 7, 7, 10, 15, 19, 18, 11, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 7, 5, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 7, 6, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 1, 2, 4, 6, 8, 8, 7, 6, 7, 5, 4, 5, 6, 7, 6, 4, 2, 3, 3, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 6, 7, 3, 4, 6, 6, 5, 5, 6, 8, 13, 12, 10, 8, 6, 5, 5, 4, 6, 6, 5, 4, 4, 4, 5, 6, 7, 7, 8, 7, 6, 5, 4, 3, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 3, 3, 8, 14, 13, 8, 7, 6, 6, 5, 4, 4, 4, 4, 4, 2, 3, 5, 4, 1, 2, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 4, 4, 3, 3, 13, 1, 0, 5, 19, 90, 27, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 5, 6, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 6, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 5, 20, 36, 108, 38, 10, 8, 5, 4, 1, 12, 5, 4, 3, 5, 7, 7, 6, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 5, 4, 3, 3, 3, 2, 3, 5, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 6, 6, 4, 2, 4, 6, 5, 4, 4, 5, 5, 5, 4, 4, 3, 4, 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5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 5, 6, 6, 10, 8, 6, 6, 6, 6, 4, 2, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 6, 9, 11, 10, 6, 2, 5, 2, 2, 5, 7, 7, 5, 5, 8, 7, 7, 6, 6, 5, 5, 5, 8, 8, 7, 6, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 6, 5, 4, 4, 4, 4, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 6, 7, 9, 10, 9, 6, 6, 24, 0, 10, 0, 0, 14, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 7, 6, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 5, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 7, 6, 6, 5, 5, 5, 2, 3, 3, 4, 4, 3, 3, 2, 12, 7, 2, 3, 8, 11, 8, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 3, 3, 4, 5, 6, 3, 5, 6, 4, 1, 1, 4, 8, 7, 6, 5, 5, 7, 7, 6, 5, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 5, 7, 8, 7, 5, 3, 1, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 4, 3, 3, 2, 1, 3, 4, 5, 5, 3, 3, 4, 5, 5, 4, 4, 5, 5, 7, 8, 9, 3, 3, 4, 5, 6, 6, 6, 6, 7, 7, 7, 6, 5, 4, 2, 1, 5, 5, 5, 6, 6, 7, 7, 7, 10, 8, 3, 0, 4, 9, 5, 0, 2, 3, 5, 6, 7, 7, 6, 5, 1, 3, 13, 23, 18, 3, 0, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 0, 9, 7, 7, 8, 2, 9, 2, 6, 5, 5, 4, 4, 5, 5, 6, 8, 5, 3, 6, 10, 12, 9, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 12, 11, 10, 8, 6, 5, 3, 3, 2, 2, 2, 3, 3, 3, 4, 4, 7, 7, 6, 6, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 1, 6, 9, 6, 2, 2, 5, 6, 2, 12, 21, 6, 5, 7, 0, 6, 6, 3, 1, 1, 3, 5, 6, 5, 4, 5, 5, 6, 6, 7, 7, 8, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 5, 5, 7, 8, 9, 10, 10, 6, 5, 3, 2, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 7, 8, 9, 9, 4, 4, 6, 7, 7, 7, 7, 7, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 7, 7, 6, 5, 3, 2, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 15, 13, 2, 0, 7, 9, 4, 17, 14, 11, 7, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 12, 4, 0, 4, 16, 20, 12, 1, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 4, 5, 4, 5, 6, 7, 6, 5, 3, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 8, 8, 7, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 3, 3, 5, 6, 7, 8, 7, 6, 4, 3, 5, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 7, 8, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 8, 7, 5, 4, 3, 4, 5, 6, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 5, 6, 7, 6, 3, 0, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 2, 3, 5, 6, 7, 6, 6, 5, 2, 8, 0, 21, 6, 8, 4, 3, 10, 5, 4, 7, 6, 1, 1, 6, 2, 3, 3, 4, 4, 5, 5, 5, 3, 5, 8, 9, 9, 7, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 0, 2, 5, 7, 8, 7, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 2, 1, 1, 7, 7, 7, 6, 6, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 5, 7, 8, 7, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 2, 3, 4, 5, 7, 8, 7, 6, 6, 5, 5, 6, 6, 3, 2, 1, 3, 5, 7, 6, 5, 7, 7, 7, 8, 9, 9, 9, 10, 6, 3, 4, 7, 7, 4, 3, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 3, 3, 3, 7, 10, 9, 6, 4, 4, 5, 1, 3, 5, 6, 6, 5, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 11, 10, 7, 5, 4, 5, 7, 8, 6, 6, 5, 5, 5, 6, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 2, 4, 6, 5, 5, 4, 6, 8, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 4, 4, 4, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 2, 3, 5, 6, 6, 5, 3, 2, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 9, 6, 2, 1, 2, 3, 4, 4, 3, 4, 5, 6, 7, 8, 8, 8, 7, 8, 8, 9, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 23, 32, 23, 9, 2, 2, 2, 6, 5, 4, 3, 3, 3, 3, 4, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 3, 3, 4, 5, 5, 8, 6, 1, 2, 8, 7, 2, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 10, 6, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 2, 2, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 3, 3, 3, 3, 4, 5, 6, 7, 5, 3, 3, 5, 6, 6, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 4, 3, 3, 4, 5, 7, 6, 0, 11, 0, 11, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 7, 8, 8, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 17, 27, 23, 3, 0, 6, 12, 7, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 8, 8, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 7, 7, 7, 6, 6, 5, 5, 5, 8, 7, 7, 6, 6, 5, 5, 4, 2, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 5, 19, 0, 14, 11, 15, 4, 10, 4, 6, 8, 10, 9, 7, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 3, 5, 6, 7, 7, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 2, 4, 6, 6, 6, 6, 8, 10, 6, 7, 8, 8, 8, 8, 7, 6, 2, 5, 8, 7, 3, 2, 5, 8, 4, 4, 3, 3, 3, 4, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 3, 4, 6, 7, 6, 5, 9, 7, 5, 4, 4, 5, 7, 9, 6, 5, 4, 3, 3, 3, 3, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 7, 8, 8, 7, 5, 4, 1, 3, 5, 7, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 11, 12, 9, 5, 2, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 3, 3, 3, 4, 6, 7, 6, 6, 5, 4, 3, 3, 4, 4, 8, 6, 5, 4, 5, 5, 4, 3, 5, 5, 5, 6, 6, 7, 7, 7, 6, 3, 4, 7, 7, 4, 3, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 4, 4, 4, 7, 9, 8, 5, 4, 4, 6, 3, 3, 5, 6, 6, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 6, 8, 9, 6, 5, 5, 5, 5, 6, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 6, 4, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 3, 4, 4, 8, 6, 4, 4, 5, 5, 4, 3, 3, 4, 5, 6, 7, 8, 7, 7, 9, 10, 11, 11, 11, 9, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 1, 14, 22, 16, 8, 5, 6, 6, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 6, 4, 4, 5, 6, 4, 7, 6, 3, 3, 7, 7, 3, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 5, 3, 3, 6, 6, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 1, 3, 4, 4, 4, 4, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 7, 5, 3, 3, 5, 6, 6, 5, 3, 3, 4, 4, 4, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 4, 4, 4, 4, 0, 3, 1, 15, 0, 10, 1, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 6, 7, 7, 7, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 10, 18, 17, 6, 0, 5, 8, 6, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 5, 5, 5, 4, 4, 4, 7, 6, 6, 6, 6, 6, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 11, 4, 5, 13, 0, 19, 80, 1, 5, 6, 7, 8, 8, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 5, 6, 6, 6, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 3, 5, 6, 6, 5, 6, 7, 9, 6, 6, 7, 7, 7, 7, 6, 6, 0, 2, 4, 4, 3, 3, 6, 10, 7, 6, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 6, 7, 6, 5, 7, 6, 5, 4, 4, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 3, 4, 5, 7, 7, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 6, 7, 7, 8, 7, 7, 6, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 14, 16, 12, 4, 0, 2, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 3, 3, 4, 5, 6, 6, 5, 4, 3, 2, 2, 2, 2, 3, 9, 7, 4, 4, 4, 5, 3, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 3, 4, 7, 7, 4, 3, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 5, 5, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 4, 3, 5, 6, 4, 4, 4, 5, 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7, 7, 6, 3, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 11, 5, 2, 4, 7, 6, 6, 7, 7, 7, 6, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 5, 3, 2, 4, 5, 3, 3, 5, 6, 4, 2, 5, 11, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 8, 13, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 10, 21, 21, 10, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 6, 7, 7, 7, 5, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 1, 7, 9, 8, 31, 11, 0, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 11, 5, 3, 6, 6, 0, 1, 7, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 0, 11, 14, 0, 27, 7, 26, 5, 4, 3, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 3, 3, 4, 4, 4, 4, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 6, 7, 5, 3, 2, 3, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 2, 2, 7, 13, 15, 11, 5, 4, 3, 3, 3, 3, 4, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 7, 7, 6, 6, 8, 8, 7, 6, 6, 6, 6, 6, 17, 14, 9, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 3, 4, 7, 7, 4, 3, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 4, 4, 4, 4, 6, 6, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 4, 5, 5, 6, 7, 8, 8, 9, 6, 4, 3, 4, 6, 6, 3, 1, 4, 5, 7, 7, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 7, 6, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 5, 5, 3, 3, 3, 3, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 7, 4, 5, 7, 11, 13, 12, 8, 4, 3, 4, 5, 5, 5, 4, 4, 3, 4, 3, 2, 2, 2, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 2, 0, 5, 7, 5, 5, 8, 8, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 4, 3, 4, 6, 5, 3, 4, 6, 3, 0, 5, 15, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 1, 5, 5, 3, 4, 7, 6, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 11, 23, 23, 11, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 6, 6, 8, 7, 5, 4, 4, 5, 7, 8, 6, 5, 5, 5, 5, 6, 7, 8, 7, 5, 3, 3, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 4, 9, 11, 9, 43, 16, 2, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 8, 7, 6, 4, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 3, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 8, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 12, 0, 12, 8, 0, 8, 10, 0, 4, 3, 3, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 5, 5, 5, 6, 7, 8, 5, 5, 4, 4, 4, 4, 5, 5, 3, 5, 6, 5, 3, 2, 3, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 3, 5, 12, 21, 22, 15, 8, 8, 7, 6, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 6, 7, 6, 5, 7, 6, 5, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 5, 3, 3, 3, 4, 5, 6, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 9, 9, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 6, 10, 8, 4, 2, 6, 10, 6, 6, 6, 5, 5, 4, 4, 4, 3, 5, 6, 7, 8, 7, 6, 5, 8, 7, 6, 6, 5, 5, 6, 6, 11, 7, 4, 2, 3, 6, 7, 7, 6, 5, 5, 4, 4, 3, 3, 3, 6, 3, 4, 7, 7, 4, 3, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 3, 4, 4, 5, 6, 7, 8, 8, 5, 4, 3, 5, 7, 6, 3, 0, 4, 5, 7, 9, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 6, 6, 6, 6, 6, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 7, 6, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 7, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 6, 7, 7, 5, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 3, 4, 5, 7, 8, 2, 5, 11, 17, 19, 16, 9, 3, 4, 4, 5, 5, 5, 4, 3, 3, 7, 7, 6, 5, 6, 7, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 8, 3, 1, 5, 6, 2, 1, 5, 8, 7, 6, 5, 5, 5, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 7, 7, 5, 5, 6, 7, 6, 3, 3, 5, 1, 0, 6, 17, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 1, 6, 8, 4, 2, 4, 4, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 9, 1, 1, 8, 8, 1, 1, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 8, 7, 5, 4, 4, 5, 7, 8, 6, 6, 5, 5, 5, 6, 7, 8, 7, 5, 3, 3, 5, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 4, 5, 7, 8, 5, 5, 2, 0, 36, 10, 0, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 9, 8, 6, 5, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 3, 2, 4, 6, 5, 1, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 3, 3, 2, 2, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 3, 1, 1, 5, 24, 2, 16, 4, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 6, 5, 6, 7, 9, 10, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 5, 5, 3, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 2, 0, 2, 9, 18, 18, 8, 0, 13, 11, 9, 6, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 9, 7, 5, 4, 4, 5, 7, 9, 8, 7, 6, 5, 5, 5, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 3, 2, 2, 3, 5, 6, 3, 4, 4, 5, 5, 6, 6, 7, 3, 5, 9, 11, 11, 9, 5, 3, 6, 5, 5, 4, 4, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 6, 10, 8, 0, 0, 4, 1, 3, 6, 7, 6, 4, 3, 3, 7, 6, 5, 3, 3, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 4, 6, 7, 7, 6, 7, 7, 7, 6, 6, 5, 5, 5, 0, 25, 2, 0, 10, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 4, 3, 3, 5, 5, 4, 3, 6, 6, 6, 6, 6, 5, 3, 3, 4, 5, 4, 2, 3, 6, 5, 1, 8, 6, 4, 4, 5, 7, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 7, 7, 6, 6, 6, 6, 5, 4, 5, 7, 8, 7, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 5, 5, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 3, 0, 1, 7, 7, 1, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 7, 8, 8, 8, 8, 7, 5, 5, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 6, 5, 5, 6, 5, 3, 3, 5, 7, 7, 5, 4, 4, 5, 6, 2, 0, 2, 6, 9, 6, 3, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 8, 5, 3, 4, 6, 7, 5, 2, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 4, 6, 8, 8, 6, 3, 6, 5, 5, 4, 4, 5, 5, 6, 6, 7, 8, 7, 5, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 4, 6, 8, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 5, 4, 3, 4, 4, 3, 4, 5, 6, 7, 6, 5, 4, 4, 4, 6, 8, 10, 9, 5, 2, 5, 4, 2, 1, 1, 2, 4, 5, 3, 3, 3, 4, 6, 8, 10, 11, 4, 4, 4, 4, 4, 4, 4, 4, 1, 2, 3, 4, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 5, 6, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 9, 8, 6, 5, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 4, 3, 3, 4, 6, 6, 4, 2, 0, 10, 13, 5, 0, 4, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 8, 2, 0, 7, 5, 0, 4, 1, 13, 7, 0, 7, 4, 0, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 6, 6, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 14, 0, 7, 7, 0, 35, 0, 11, 5, 4, 4, 4, 5, 7, 9, 11, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 7, 7, 7, 7, 7, 6, 5, 4, 4, 3, 3, 2, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 7, 7, 8, 8, 4, 1, 0, 4, 10, 13, 10, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 3, 2, 2, 4, 7, 7, 3, 2, 6, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 3, 1, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 4, 3, 2, 2, 3, 4, 6, 5, 3, 3, 5, 5, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 3, 2, 2, 3, 5, 6, 4, 5, 7, 8, 8, 7, 5, 4, 4, 5, 7, 9, 9, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 7, 7, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 9, 8, 6, 5, 4, 5, 6, 6, 1, 8, 10, 4, 1, 5, 7, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 7, 7, 7, 5, 3, 2, 3, 5, 4, 5, 5, 5, 5, 5, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 3, 5, 8, 9, 9, 8, 5, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 15, 4, 0, 0, 2, 8, 11, 13, 7, 6, 3, 1, 1, 2, 6, 8, 4, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 7, 7, 6, 5, 6, 6, 5, 5, 5, 4, 4, 4, 19, 43, 16, 2, 13, 5, 1, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 4, 3, 3, 5, 5, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 6, 8, 6, 4, 5, 9, 8, 3, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 9, 13, 16, 17, 16, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 2, 0, 1, 6, 6, 1, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 7, 6, 6, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 4, 4, 4, 5, 3, 2, 3, 5, 7, 7, 5, 4, 4, 5, 1, 5, 8, 6, 2, 0, 1, 5, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 8, 5, 4, 4, 6, 6, 5, 2, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 8, 8, 5, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 6, 8, 7, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 4, 6, 8, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 6, 6, 4, 5, 7, 8, 9, 8, 8, 7, 3, 3, 4, 6, 8, 8, 6, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 6, 7, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 3, 5, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 4, 5, 6, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 6, 5, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 5, 4, 4, 3, 2, 1, 1, 1, 1, 6, 7, 4, 3, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 10, 6, 4, 9, 7, 3, 9, 5, 0, 3, 12, 9, 13, 20, 16, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 5, 11, 12, 11, 0, 0, 4, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 5, 4, 4, 4, 4, 5, 7, 6, 5, 4, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 7, 8, 8, 15, 10, 4, 4, 7, 8, 6, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 5, 5, 7, 6, 2, 2, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 4, 3, 5, 4, 4, 4, 4, 5, 6, 7, 9, 8, 6, 5, 4, 5, 6, 7, 6, 5, 3, 4, 5, 5, 4, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 3, 4, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 3, 5, 6, 8, 8, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 8, 7, 6, 5, 5, 5, 5, 5, 7, 13, 13, 7, 3, 4, 3, 0, 5, 5, 5, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 6, 7, 6, 4, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 9, 8, 6, 3, 0, 0, 7, 6, 4, 3, 2, 4, 6, 7, 3, 3, 3, 4, 5, 7, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 8, 5, 3, 5, 4, 4, 4, 4, 3, 3, 3, 15, 34, 10, 0, 8, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 4, 3, 4, 5, 6, 5, 3, 5, 5, 6, 6, 6, 5, 4, 3, 6, 8, 7, 4, 6, 10, 9, 4, 3, 6, 8, 6, 3, 1, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 7, 10, 15, 19, 20, 19, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 5, 4, 6, 9, 8, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 3, 5, 8, 9, 9, 8, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 3, 3, 3, 4, 3, 2, 3, 5, 7, 7, 5, 4, 4, 5, 4, 6, 8, 6, 3, 1, 2, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 4, 4, 6, 6, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 6, 6, 7, 6, 6, 6, 5, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 4, 6, 8, 8, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 8, 9, 7, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 6, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 6, 6, 6, 3, 4, 6, 7, 9, 9, 9, 9, 5, 4, 3, 4, 6, 7, 7, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 4, 6, 7, 8, 9, 9, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 8, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 3, 5, 5, 4, 1, 1, 4, 8, 9, 4, 2, 5, 6, 5, 5, 8, 7, 7, 7, 7, 7, 7, 7, 7, 0, 8, 6, 3, 6, 3, 0, 9, 21, 0, 8, 16, 0, 1, 13, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 13, 0, 0, 19, 37, 19, 15, 5, 5, 6, 6, 6, 6, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 8, 7, 6, 4, 3, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 5, 4, 3, 3, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 7, 8, 8, 21, 14, 6, 2, 3, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 2, 3, 3, 4, 5, 6, 6, 7, 5, 6, 5, 3, 6, 10, 7, 1, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 9, 8, 6, 5, 4, 5, 6, 7, 7, 5, 4, 4, 5, 5, 4, 2, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 3, 3, 4, 5, 5, 4, 3, 3, 3, 4, 5, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 3, 4, 4, 4, 6, 5, 5, 5, 4, 4, 4, 3, 2, 2, 3, 4, 4, 5, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 5, 5, 4, 9, 13, 14, 9, 6, 5, 3, 0, 5, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 6, 6, 6, 6, 5, 5, 3, 5, 7, 7, 6, 5, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 5, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 2, 7, 9, 5, 6, 12, 13, 10, 3, 4, 7, 10, 10, 8, 3, 0, 4, 4, 4, 5, 6, 8, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 9, 8, 4, 1, 5, 5, 4, 4, 4, 4, 4, 4, 0, 14, 0, 0, 3, 0, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 3, 5, 6, 7, 7, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 3, 4, 6, 6, 5, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 5, 4, 2, 4, 8, 7, 3, 4, 8, 12, 11, 5, 1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 7, 8, 10, 11, 11, 10, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 8, 9, 7, 4, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 6, 6, 7, 3, 5, 7, 8, 8, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 3, 3, 4, 5, 4, 3, 3, 5, 7, 7, 5, 4, 4, 5, 11, 5, 0, 1, 7, 10, 8, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 6, 6, 5, 5, 6, 5, 5, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 10, 11, 9, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 4, 5, 5, 4, 4, 1, 2, 3, 4, 6, 7, 8, 8, 10, 8, 5, 4, 6, 7, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 4, 6, 7, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 0, 4, 7, 6, 3, 5, 12, 19, 19, 7, 0, 5, 8, 3, 0, 4, 6, 6, 6, 6, 6, 6, 6, 6, 1, 11, 9, 4, 5, 0, 0, 8, 4, 6, 11, 5, 0, 5, 15, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 8, 13, 6, 9, 52, 20, 12, 10, 5, 6, 7, 7, 7, 5, 3, 2, 6, 6, 5, 4, 4, 4, 5, 6, 7, 6, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 3, 4, 4, 5, 5, 4, 3, 3, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 15, 10, 4, 2, 3, 6, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 5, 12, 17, 14, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 3, 2, 2, 3, 4, 5, 7, 5, 4, 4, 5, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 6, 7, 8, 8, 9, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 7, 7, 6, 4, 3, 4, 6, 8, 8, 8, 8, 6, 5, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 7, 7, 5, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 8, 8, 6, 5, 5, 6, 8, 7, 6, 6, 4, 4, 3, 2, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 4, 3, 2, 2, 3, 4, 5, 8, 7, 7, 7, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 3, 7, 8, 1, 0, 6, 6, 7, 9, 11, 9, 4, 0, 7, 6, 6, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 7, 8, 7, 4, 1, 5, 5, 6, 6, 6, 6, 6, 6, 2, 13, 1, 3, 5, 0, 4, 0, 7, 7, 7, 7, 7, 7, 7, 7, 3, 4, 5, 7, 7, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 4, 4, 6, 7, 5, 4, 4, 4, 5, 6, 6, 6, 5, 4, 3, 5, 4, 3, 5, 9, 8, 4, 4, 8, 12, 11, 5, 1, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 5, 5, 5, 5, 4, 2, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 3, 6, 8, 7, 3, 1, 6, 6, 5, 4, 4, 5, 6, 6, 7, 6, 6, 5, 6, 7, 8, 9, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 4, 5, 6, 6, 5, 3, 5, 7, 7, 5, 4, 4, 5, 10, 7, 3, 3, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 6, 6, 5, 5, 7, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 6, 6, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 8, 11, 12, 10, 7, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 6, 4, 3, 5, 6, 5, 3, 2, 2, 3, 4, 5, 7, 8, 9, 15, 12, 8, 6, 6, 6, 5, 5, 5, 6, 7, 8, 8, 7, 6, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 5, 0, 4, 7, 6, 4, 6, 13, 20, 20, 7, 0, 5, 9, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 18, 16, 10, 9, 3, 1, 10, 8, 48, 37, 2, 7, 12, 5, 11, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 21, 11, 23, 255, 29, 13, 5, 6, 7, 7, 6, 4, 3, 1, 6, 5, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 5, 6, 7, 8, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 4, 5, 5, 4, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 6, 5, 4, 4, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 12, 17, 14, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 7, 7, 5, 3, 4, 6, 5, 4, 4, 4, 4, 5, 6, 7, 5, 4, 3, 2, 2, 3, 5, 6, 7, 6, 4, 5, 6, 6, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 3, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 6, 7, 8, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 7, 6, 4, 3, 2, 2, 3, 6, 8, 7, 7, 7, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 7, 7, 6, 5, 3, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 6, 7, 8, 8, 6, 4, 5, 6, 8, 7, 6, 6, 4, 4, 3, 2, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 9, 9, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 11, 19, 12, 0, 1, 27, 57, 15, 10, 4, 2, 4, 7, 8, 7, 9, 8, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 7, 6, 4, 2, 5, 6, 6, 6, 6, 7, 7, 7, 4, 10, 3, 10, 8, 2, 9, 0, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 5, 4, 5, 6, 7, 6, 4, 3, 4, 5, 6, 6, 6, 5, 5, 6, 7, 7, 5, 7, 12, 11, 7, 3, 6, 8, 6, 3, 1, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 6, 5, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 7, 13, 15, 11, 7, 5, 6, 6, 5, 5, 5, 5, 6, 6, 8, 7, 6, 5, 6, 7, 9, 10, 5, 4, 3, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 5, 6, 7, 7, 6, 3, 5, 7, 7, 5, 4, 4, 5, 1, 9, 16, 13, 4, 0, 2, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 7, 6, 4, 3, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 7, 6, 6, 6, 5, 5, 5, 4, 6, 6, 5, 4, 4, 3, 2, 2, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 4, 4, 6, 6, 5, 3, 3, 4, 6, 7, 7, 6, 4, 3, 5, 8, 11, 11, 9, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 4, 6, 7, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 14, 9, 5, 5, 7, 9, 7, 5, 5, 5, 5, 6, 7, 8, 10, 11, 15, 12, 8, 6, 6, 6, 5, 3, 5, 6, 6, 7, 7, 6, 6, 5, 6, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 2, 2, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 5, 4, 6, 7, 5, 2, 2, 5, 9, 13, 5, 1, 4, 9, 9, 7, 6, 3, 3, 3, 3, 3, 3, 3, 3, 10, 17, 14, 8, 9, 4, 0, 7, 23, 75, 52, 4, 14, 9, 0, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 12, 45, 55, 13, 0, 5, 5, 6, 5, 5, 4, 3, 2, 5, 5, 4, 4, 4, 5, 6, 7, 3, 3, 4, 4, 5, 7, 8, 9, 4, 5, 5, 6, 7, 7, 8, 8, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 6, 4, 2, 1, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 7, 6, 5, 4, 4, 3, 5, 6, 5, 3, 6, 10, 7, 1, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 9, 12, 11, 7, 5, 6, 8, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 5, 6, 8, 9, 8, 6, 5, 5, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 7, 7, 6, 5, 5, 6, 7, 7, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 6, 5, 5, 5, 4, 4, 4, 3, 2, 2, 3, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 9, 4, 3, 5, 6, 4, 3, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 7, 7, 8, 6, 5, 5, 7, 9, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 5, 5, 5, 5, 4, 8, 8, 8, 8, 8, 8, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 12, 14, 15, 5, 0, 15, 87, 159, 19, 11, 3, 0, 3, 7, 9, 9, 8, 7, 5, 4, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 6, 4, 3, 4, 4, 5, 5, 5, 6, 6, 6, 1, 3, 0, 8, 6, 2, 14, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 5, 7, 7, 6, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 7, 7, 5, 8, 12, 12, 8, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 3, 3, 4, 6, 7, 6, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 7, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 10, 18, 20, 14, 9, 8, 7, 6, 6, 5, 5, 6, 6, 7, 7, 6, 5, 4, 4, 6, 8, 9, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 4, 5, 6, 6, 5, 3, 5, 7, 7, 5, 4, 4, 5, 0, 7, 17, 23, 23, 18, 11, 6, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 6, 8, 6, 4, 2, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 3, 3, 4, 5, 6, 7, 8, 6, 5, 5, 5, 4, 4, 4, 3, 7, 7, 7, 6, 5, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 4, 4, 5, 5, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 5, 7, 8, 8, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 15, 10, 5, 4, 7, 9, 8, 5, 7, 6, 6, 5, 6, 7, 9, 10, 10, 7, 5, 5, 6, 6, 5, 3, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 6, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 4, 5, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 6, 5, 4, 4, 4, 6, 6, 6, 5, 4, 3, 2, 2, 6, 7, 5, 4, 7, 11, 10, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 11, 6, 2, 7, 3, 0, 4, 2, 33, 21, 1, 14, 12, 1, 14, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 0, 0, 18, 0, 22, 8, 5, 5, 4, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 6, 8, 8, 4, 4, 5, 6, 7, 7, 8, 8, 3, 4, 5, 6, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 7, 7, 6, 4, 2, 2, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 7, 6, 2, 2, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 10, 13, 11, 6, 3, 4, 6, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 5, 6, 8, 9, 8, 6, 5, 5, 6, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 16, 8, 3, 5, 6, 3, 2, 4, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 4, 4, 6, 11, 15, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 7, 7, 8, 8, 9, 10, 10, 4, 4, 4, 4, 4, 4, 4, 4, 11, 0, 0, 12, 14, 13, 34, 65, 15, 10, 5, 5, 9, 10, 7, 3, 6, 5, 4, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 2, 2, 4, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 9, 7, 0, 9, 2, 0, 12, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 5, 7, 7, 6, 5, 3, 3, 5, 6, 6, 6, 6, 6, 3, 5, 5, 3, 6, 10, 10, 6, 8, 6, 4, 4, 5, 7, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 4, 3, 3, 4, 5, 3, 2, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 9, 8, 7, 7, 6, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 1, 5, 14, 16, 9, 3, 3, 7, 6, 6, 5, 5, 6, 6, 7, 6, 5, 3, 2, 3, 5, 7, 8, 3, 5, 7, 9, 9, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 2, 2, 4, 5, 5, 4, 3, 5, 7, 7, 5, 4, 4, 5, 5, 2, 7, 27, 48, 48, 26, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 6, 8, 7, 3, 2, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 5, 6, 7, 8, 5, 5, 4, 4, 4, 3, 3, 3, 11, 10, 10, 9, 8, 7, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 4, 4, 5, 5, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 6, 5, 3, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 4, 4, 6, 6, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 14, 8, 3, 2, 5, 7, 6, 3, 6, 5, 4, 3, 3, 5, 6, 7, 4, 3, 2, 3, 5, 6, 5, 3, 7, 6, 4, 3, 3, 4, 6, 7, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 8, 8, 8, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 1, 2, 4, 5, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 6, 5, 4, 4, 4, 6, 6, 5, 6, 8, 8, 6, 4, 5, 11, 10, 4, 5, 11, 9, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 4, 2, 10, 8, 3, 7, 5, 4, 2, 6, 9, 4, 1, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 22, 15, 0, 17, 2, 5, 6, 5, 3, 2, 2, 3, 5, 6, 4, 4, 4, 4, 4, 5, 7, 7, 7, 7, 6, 5, 5, 5, 6, 6, 1, 2, 2, 3, 4, 5, 6, 6, 4, 5, 6, 7, 7, 7, 7, 7, 8, 7, 7, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 7, 7, 6, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 6, 6, 7, 8, 8, 4, 7, 7, 3, 2, 6, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 8, 10, 8, 2, 0, 0, 2, 5, 4, 4, 4, 4, 5, 6, 7, 4, 3, 2, 2, 3, 4, 6, 7, 8, 7, 5, 5, 7, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 7, 8, 8, 7, 5, 4, 6, 5, 3, 2, 2, 3, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 7, 7, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 3, 2, 2, 3, 4, 6, 7, 18, 9, 3, 5, 7, 4, 4, 7, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 8, 6, 4, 2, 2, 4, 6, 8, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 2, 4, 8, 15, 20, 4, 5, 5, 5, 5, 5, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 8, 6, 0, 3, 11, 8, 0, 7, 7, 5, 4, 2, 2, 2, 2, 0, 0, 4, 7, 8, 6, 2, 0, 6, 6, 5, 5, 5, 6, 7, 8, 7, 7, 7, 7, 8, 9, 10, 11, 14, 9, 4, 4, 6, 9, 10, 9, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 5, 7, 8, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 5, 7, 8, 7, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 3, 3, 3, 4, 5, 6, 5, 4, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 2, 3, 5, 7, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 3, 3, 4, 5, 5, 6, 5, 4, 3, 3, 4, 5, 7, 8, 6, 6, 5, 3, 3, 3, 3, 3, 4, 7, 7, 4, 3, 6, 6, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 4, 5, 3, 1, 5, 10, 8, 2, 7, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 8, 8, 6, 4, 3, 2, 2, 3, 4, 6, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 1, 6, 11, 1, 0, 9, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 8, 1, 3, 5, 6, 6, 5, 3, 1, 4, 0, 19, 11, 176, 78, 24, 0, 4, 4, 4, 5, 5, 6, 6, 6, 0, 3, 6, 9, 9, 7, 4, 1, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 4, 2, 2, 4, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 5, 8, 9, 9, 8, 5, 3, 11, 12, 2, 0, 5, 5, 1, 6, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 8, 8, 7, 5, 3, 2, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 7, 7, 5, 3, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 4, 3, 3, 3, 3, 3, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 5, 6, 7, 8, 9, 9, 7, 5, 3, 2, 3, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 9, 8, 7, 6, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 0, 5, 6, 3, 2, 5, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 9, 0, 3, 5, 3, 4, 7, 6, 2, 5, 5, 5, 5, 5, 5, 5, 5, 10, 9, 7, 6, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 0, 8, 11, 8, 0, 22, 0, 11, 4, 5, 5, 6, 6, 5, 5, 4, 0, 1, 2, 4, 5, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 3, 2, 5, 10, 7, 1, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 4, 3, 3, 3, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 11, 4, 1, 3, 4, 3, 5, 8, 6, 6, 6, 6, 6, 6, 6, 6, 8, 9, 9, 8, 7, 6, 5, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 8, 8, 8, 9, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 6, 4, 3, 3, 4, 4, 9, 8, 7, 7, 6, 5, 4, 4, 8, 6, 4, 2, 2, 4, 6, 8, 1, 1, 2, 3, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 3, 4, 5, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 6, 6, 4, 4, 3, 3, 4, 5, 7, 9, 10, 9, 7, 6, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 16, 15, 7, 7, 5, 0, 3, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 6, 6, 6, 6, 7, 7, 0, 3, 4, 3, 2, 6, 10, 12, 5, 4, 4, 5, 7, 7, 5, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 3, 2, 1, 7, 7, 5, 12, 25, 28, 22, 6, 6, 5, 4, 4, 4, 4, 5, 14, 12, 9, 6, 4, 5, 9, 12, 6, 5, 5, 5, 5, 6, 7, 8, 6, 6, 5, 5, 5, 6, 7, 7, 10, 6, 3, 3, 5, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 5, 7, 8, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 6, 6, 6, 5, 4, 2, 3, 5, 7, 7, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 2, 3, 5, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 7, 6, 6, 6, 4, 4, 4, 4, 5, 5, 6, 7, 6, 5, 4, 3, 3, 3, 4, 4, 6, 9, 9, 5, 4, 7, 6, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 8, 6, 2, 2, 5, 3, 0, 6, 6, 5, 5, 4, 4, 4, 3, 5, 5, 6, 6, 5, 4, 4, 3, 2, 3, 3, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 9, 4, 2, 11, 11, 6, 8, 5, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 5, 5, 2, 4, 5, 7, 7, 5, 4, 2, 0, 4, 1, 2, 41, 7, 0, 14, 4, 4, 4, 5, 5, 6, 6, 6, 2, 4, 6, 8, 8, 6, 4, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 7, 5, 4, 4, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 8, 8, 6, 4, 3, 2, 6, 3, 8, 22, 20, 8, 5, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 8, 7, 5, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 7, 7, 5, 3, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 4, 4, 3, 3, 3, 4, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 5, 6, 7, 8, 9, 8, 7, 5, 3, 3, 3, 5, 6, 4, 5, 6, 6, 6, 6, 5, 4, 6, 5, 5, 5, 6, 7, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 3, 8, 9, 3, 0, 3, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 6, 7, 7, 8, 8, 9, 7, 2, 1, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 3, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 9, 5, 2, 4, 1, 16, 0, 15, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 5, 3, 1, 0, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 2, 10, 13, 4, 0, 0, 3, 8, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 5, 5, 5, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 4, 5, 6, 6, 6, 6, 5, 4, 4, 2, 3, 6, 5, 2, 2, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 5, 4, 3, 3, 3, 8, 8, 7, 6, 5, 5, 4, 4, 6, 6, 6, 7, 7, 6, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 3, 3, 4, 5, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 4, 5, 7, 9, 9, 8, 7, 6, 4, 4, 4, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 14, 12, 0, 0, 0, 2, 3, 11, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 5, 3, 2, 2, 3, 3, 6, 4, 2, 2, 4, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 3, 5, 8, 7, 3, 7, 18, 22, 19, 6, 5, 5, 5, 5, 6, 7, 8, 0, 2, 6, 8, 8, 7, 6, 6, 5, 5, 5, 5, 5, 6, 7, 7, 7, 6, 5, 5, 5, 5, 5, 6, 7, 5, 4, 5, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 5, 7, 8, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 7, 7, 7, 7, 6, 5, 2, 3, 5, 7, 7, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 7, 7, 7, 7, 6, 5, 4, 4, 3, 3, 5, 7, 9, 10, 9, 9, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 2, 3, 5, 7, 7, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 7, 8, 9, 9, 9, 8, 6, 5, 3, 4, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 4, 4, 5, 6, 8, 10, 10, 6, 5, 7, 6, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 5, 5, 6, 2, 6, 7, 4, 2, 4, 5, 3, 5, 5, 4, 4, 4, 3, 3, 3, 6, 5, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 11, 8, 2, 14, 22, 14, 5, 5, 4, 4, 4, 4, 4, 4, 5, 8, 7, 6, 5, 4, 3, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 10, 8, 0, 19, 0, 7, 4, 17, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 8, 6, 4, 5, 6, 7, 7, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 0, 3, 2, 11, 28, 27, 11, 4, 2, 2, 3, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 7, 6, 6, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 7, 7, 5, 3, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 5, 6, 7, 8, 8, 6, 5, 3, 3, 4, 5, 6, 5, 6, 7, 7, 7, 7, 6, 5, 4, 3, 3, 4, 4, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 9, 3, 0, 3, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 6, 6, 17, 16, 10, 2, 0, 3, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 2, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 12, 4, 0, 5, 7, 12, 0, 15, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 5, 3, 1, 0, 5, 5, 6, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 1, 10, 15, 10, 4, 3, 6, 7, 4, 5, 6, 6, 4, 4, 5, 6, 2, 3, 5, 6, 7, 7, 6, 5, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 0, 2, 7, 12, 9, 2, 1, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 6, 7, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 7, 7, 7, 6, 5, 5, 4, 4, 3, 5, 8, 11, 11, 8, 5, 3, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 2, 3, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 4, 5, 7, 8, 9, 8, 7, 6, 4, 4, 4, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 4, 0, 10, 25, 18, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 4, 3, 3, 2, 2, 6, 4, 4, 5, 7, 8, 7, 7, 9, 6, 3, 2, 3, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 5, 7, 5, 0, 1, 5, 6, 3, 8, 7, 6, 6, 6, 7, 7, 8, 14, 11, 7, 7, 9, 8, 4, 0, 5, 5, 4, 4, 5, 5, 6, 7, 10, 9, 8, 7, 6, 6, 6, 7, 6, 7, 7, 8, 9, 8, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 5, 7, 8, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 7, 6, 4, 3, 4, 6, 8, 10, 10, 9, 7, 5, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 3, 4, 5, 6, 6, 6, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 10, 10, 10, 8, 6, 4, 3, 4, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 10, 9, 5, 4, 6, 5, 1, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 6, 12, 13, 8, 4, 5, 6, 6, 4, 4, 4, 4, 4, 3, 3, 3, 7, 6, 4, 3, 2, 3, 4, 5, 7, 7, 6, 6, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 10, 8, 9, 23, 25, 12, 3, 4, 5, 5, 5, 5, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 7, 7, 7, 7, 6, 5, 6, 0, 6, 10, 17, 17, 16, 0, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 6, 5, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 8, 8, 8, 6, 4, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 0, 2, 15, 15, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 7, 7, 5, 3, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 6, 7, 7, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 3, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 7, 10, 7, 1, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 18, 17, 12, 4, 1, 4, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 6, 4, 6, 10, 9, 0, 10, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 5, 7, 8, 9, 4, 5, 7, 8, 7, 5, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 3, 5, 15, 29, 32, 17, 0, 4, 5, 6, 6, 4, 4, 5, 6, 1, 3, 5, 7, 7, 6, 4, 2, 4, 5, 6, 6, 4, 4, 5, 6, 5, 6, 6, 6, 6, 6, 6, 5, 2, 6, 12, 16, 11, 4, 4, 9, 5, 5, 5, 5, 5, 5, 5, 5, 13, 11, 8, 6, 5, 5, 7, 8, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 7, 7, 8, 8, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 5, 3, 2, 7, 6, 6, 5, 5, 4, 4, 4, 2, 4, 8, 10, 10, 8, 4, 2, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 2, 3, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 7, 7, 6, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 1, 6, 28, 43, 25, 1, 0, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 7, 7, 6, 5, 4, 3, 2, 2, 6, 2, 2, 5, 8, 7, 5, 6, 10, 8, 6, 6, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 6, 6, 6, 6, 0, 3, 6, 6, 6, 8, 8, 6, 10, 10, 8, 7, 6, 6, 6, 6, 67, 45, 18, 3, 2, 7, 8, 6, 5, 4, 4, 4, 4, 5, 6, 7, 9, 9, 7, 6, 6, 6, 6, 6, 4, 6, 8, 9, 9, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 5, 7, 8, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 5, 5, 4, 4, 10, 8, 6, 4, 3, 4, 6, 7, 8, 7, 5, 3, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 3, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 8, 8, 8, 6, 5, 3, 4, 5, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 5, 6, 7, 8, 5, 8, 7, 3, 2, 4, 4, 0, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 4, 17, 21, 21, 13, 6, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 4, 4, 4, 6, 6, 9, 8, 8, 7, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 18, 30, 20, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 7, 7, 6, 6, 6, 6, 13, 19, 0, 13, 0, 5, 3, 4, 4, 4, 5, 5, 6, 6, 6, 9, 8, 6, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 8, 8, 6, 4, 3, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 2, 0, 5, 3, 0, 6, 7, 6, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 6, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 7, 7, 5, 3, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 4, 5, 5, 5, 6, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 3, 2, 7, 18, 23, 13, 0, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 11, 13, 12, 7, 5, 7, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 0, 11, 8, 0, 6, 2, 6, 8, 4, 5, 5, 6, 6, 5, 5, 4, 6, 4, 2, 2, 4, 9, 14, 17, 4, 5, 7, 8, 7, 5, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 7, 1, 0, 13, 34, 41, 22, 0, 4, 5, 6, 6, 4, 4, 5, 6, 2, 4, 5, 6, 6, 4, 1, 0, 4, 5, 6, 6, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 7, 5, 7, 12, 13, 9, 3, 6, 12, 5, 5, 5, 5, 5, 5, 5, 5, 16, 14, 11, 7, 5, 5, 6, 7, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 7, 6, 6, 7, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 8, 8, 8, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 5, 4, 3, 6, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 5, 6, 7, 7, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 2, 4, 6, 6, 4, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 7, 7, 6, 6, 6, 6, 5, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 4, 0, 11, 21, 9, 0, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 8, 8, 7, 6, 5, 4, 3, 3, 8, 2, 1, 4, 4, 0, 0, 2, 6, 6, 6, 7, 8, 7, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 0, 5, 9, 11, 10, 9, 8, 7, 11, 10, 9, 7, 6, 5, 5, 5, 59, 39, 14, 2, 4, 8, 6, 1, 4, 4, 3, 3, 4, 5, 6, 6, 6, 5, 4, 4, 3, 4, 4, 4, 2, 4, 6, 7, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 5, 7, 8, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 4, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 4, 5, 5, 4, 3, 3, 10, 9, 7, 5, 3, 3, 4, 4, 5, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 6, 5, 5, 5, 5, 6, 6, 7, 3, 5, 5, 2, 2, 4, 4, 1, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 6, 5, 4, 4, 4, 4, 10, 14, 14, 11, 9, 12, 12, 11, 4, 4, 5, 5, 5, 6, 6, 6, 8, 7, 7, 6, 5, 5, 6, 6, 8, 8, 8, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 4, 17, 27, 12, 0, 3, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 3, 4, 5, 6, 7, 8, 6, 5, 5, 5, 5, 5, 5, 6, 10, 31, 14, 0, 10, 9, 0, 17, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 6, 4, 2, 2, 4, 5, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 0, 6, 6, 4, 7, 3, 0, 6, 8, 7, 5, 4, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 3, 4, 4, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 7, 7, 5, 3, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 5, 5, 6, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 4, 5, 5, 4, 3, 3, 6, 6, 6, 7, 8, 10, 12, 13, 4, 4, 4, 4, 4, 4, 4, 4, 8, 5, 3, 11, 24, 30, 17, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 8, 9, 7, 7, 9, 7, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 4, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 1, 12, 8, 3, 15, 0, 10, 9, 4, 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3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 6, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 8, 8, 9, 30, 52, 10, 11, 6, 4, 5, 5, 6, 6, 5, 5, 4, 9, 7, 5, 4, 3, 4, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 9, 8, 3, 1, 5, 9, 9, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 5, 6, 7, 8, 8, 8, 4, 5, 6, 6, 4, 4, 5, 6, 8, 7, 6, 6, 6, 6, 7, 8, 7, 4, 4, 7, 6, 3, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 4, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 8, 11, 9, 5, 3, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 7, 8, 7, 5, 4, 4, 5, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 8, 5, 6, 13, 9, 1, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 2, 0, 4, 11, 11, 9, 20, 35, 9, 6, 3, 3, 6, 8, 10, 10, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 5, 6, 2, 3, 5, 6, 4, 3, 6, 11, 6, 6, 5, 5, 5, 6, 7, 8, 4, 4, 5, 5, 5, 6, 8, 9, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 6, 7, 8, 8, 4, 7, 8, 7, 5, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 5, 7, 8, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 7, 7, 6, 6, 5, 3, 3, 4, 5, 5, 4, 4, 3, 2, 4, 6, 7, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 6, 4, 2, 3, 5, 9, 11, 8, 7, 5, 4, 3, 3, 4, 5, 8, 8, 7, 6, 5, 5, 5, 5, 1, 5, 5, 3, 4, 8, 8, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 6, 5, 4, 3, 3, 3, 6, 6, 4, 2, 5, 9, 6, 0, 6, 6, 6, 7, 7, 8, 8, 9, 3, 4, 5, 6, 5, 4, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 14, 6, 0, 0, 7, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 8, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 9, 2, 13, 4, 7, 0, 7, 1, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 8, 6, 4, 4, 6, 7, 7, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 5, 8, 9, 9, 8, 5, 3, 11, 10, 1, 0, 7, 7, 1, 4, 4, 3, 3, 4, 6, 10, 13, 15, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 2, 2, 2, 2, 2, 2, 2, 2, 8, 7, 5, 3, 2, 2, 2, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 7, 7, 5, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 7, 8, 8, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 4, 3, 3, 3, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 5, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 3, 6, 9, 8, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 6, 6, 6, 6, 6, 1, 4, 5, 2, 3, 6, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 9, 9, 9, 8, 7, 6, 5, 5, 4, 4, 5, 5, 6, 13, 3, 14, 62, 93, 24, 9, 0, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 5, 5, 4, 3, 2, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 3, 5, 4, 3, 4, 8, 7, 2, 4, 5, 6, 6, 4, 4, 5, 6, 3, 4, 5, 6, 9, 11, 14, 15, 4, 5, 6, 6, 4, 4, 5, 6, 9, 8, 6, 5, 5, 6, 8, 9, 8, 5, 5, 9, 10, 7, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 5, 6, 6, 6, 6, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 9, 12, 10, 6, 3, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 7, 5, 4, 4, 5, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 8, 1, 0, 7, 11, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 3, 3, 4, 4, 4, 4, 4, 5, 9, 5, 7, 9, 2, 0, 5, 23, 16, 11, 6, 4, 7, 12, 17, 19, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 2, 5, 7, 7, 5, 5, 7, 10, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 8, 8, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 6, 4, 3, 5, 9, 10, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 4, 5, 7, 8, 8, 7, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 7, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 5, 7, 5, 2, 1, 3, 5, 0, 4, 7, 8, 6, 4, 5, 6, 8, 7, 5, 4, 3, 4, 4, 5, 7, 7, 6, 6, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 2, 3, 5, 7, 9, 8, 5, 3, 4, 6, 7, 5, 2, 3, 5, 7, 7, 5, 4, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 3, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 4, 2, 2, 4, 6, 4, 4, 5, 7, 7, 7, 7, 7, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 5, 3, 3, 5, 7, 3, 4, 6, 7, 7, 6, 4, 3, 5, 4, 2, 1, 1, 2, 4, 5, 6, 6, 6, 6, 6, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 9, 8, 6, 4, 3, 4, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 6, 8, 8, 5, 3, 2, 3, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 5, 3, 2, 3, 5, 6, 6, 9, 12, 15, 15, 14, 11, 9, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 3, 6, 7, 4, 2, 3, 4, 3, 5, 7, 6, 2, 3, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 8, 8, 4, 2, 5, 8, 7, 7, 6, 6, 5, 5, 4, 4, 3, 6, 4, 2, 2, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 4, 3, 1, 1, 2, 4, 7, 9, 24, 34, 17, 14, 13, 0, 11, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 7, 8, 7, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 6, 6, 6, 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5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 11, 19, 6, 4, 16, 9, 0, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 4, 3, 3, 4, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 6, 6, 6, 6, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 4, 3, 8, 9, 9, 8, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 9, 0, 7, 5, 0, 8, 1, 8, 6, 6, 5, 4, 4, 4, 5, 5, 8, 7, 6, 6, 5, 5, 6, 6, 7, 5, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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5, 5, 5, 5, 5, 4, 6, 6, 6, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 4, 3, 4, 5, 3, 3, 4, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 5, 3, 3, 5, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 6, 5, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 5, 7, 7, 6, 4, 3, 3, 4, 5, 6, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 7, 8, 9, 8, 7, 5, 4, 7, 7, 6, 5, 4, 4, 4, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 3, 3, 6, 6, 4, 6, 10, 5, 1, 0, 1, 3, 3, 6, 10, 6, 5, 5, 4, 4, 5, 5, 6, 5, 10, 11, 8, 6, 6, 6, 3, 4, 4, 4, 4, 3, 3, 3, 3, 8, 6, 4, 4, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 2, 0, 24, 9, 4, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 6, 7, 6, 5, 3, 2, 7, 6, 5, 4, 5, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 21, 0, 15, 10, 21, 10, 3, 1, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 5, 4, 4, 5, 5, 6, 5, 4, 6, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 8, 5, 3, 3, 5, 5, 3, 0, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 2, 5, 8, 7, 3, 1, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 8, 7, 5, 4, 4, 5, 7, 8, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 7, 4, 2, 3, 5, 6, 3, 1, 4, 3, 3, 5, 8, 9, 6, 2, 2, 3, 5, 6, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 10, 7, 5, 6, 8, 9, 7, 4, 3, 4, 4, 3, 2, 4, 8, 12, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 3, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 4, 2, 2, 4, 6, 2, 2, 3, 4, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 7, 7, 5, 6, 6, 6, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 5, 3, 3, 5, 7, 3, 4, 6, 7, 7, 6, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 3, 3, 5, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 6, 5, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 6, 8, 8, 5, 3, 2, 3, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 8, 8, 8, 8, 7, 6, 5, 12, 10, 7, 4, 3, 5, 8, 10, 7, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 2, 2, 5, 7, 5, 4, 6, 10, 9, 10, 12, 9, 3, 1, 4, 6, 5, 5, 4, 4, 5, 5, 6, 0, 4, 7, 5, 3, 5, 5, 3, 7, 6, 6, 5, 5, 4, 4, 3, 8, 6, 4, 4, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 4, 3, 3, 2, 16, 23, 0, 1, 13, 0, 10, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 2, 3, 3, 4, 6, 7, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 7, 6, 5, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 2, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 5, 3, 2, 6, 3, 1, 2, 4, 5, 3, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 15, 7, 7, 0, 15, 0, 8, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 4, 3, 3, 3, 3, 3, 4, 4, 6, 9, 11, 9, 5, 1, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 9, 9, 7, 5, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 8, 7, 6, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 1, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 6, 10, 13, 27, 18, 11, 9, 7, 3, 5, 10, 7, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 7, 8, 7, 3, 2, 3, 6, 3, 4, 4, 5, 5, 4, 4, 3, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 3, 4, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 5, 7, 7, 5, 2, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 3, 2, 3, 5, 7, 9, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 5, 6, 7, 9, 10, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 3, 5, 7, 4, 0, 5, 5, 5, 4, 4, 3, 3, 3, 8, 6, 4, 2, 2, 4, 6, 8, 9, 8, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 3, 3, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 6, 7, 7, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 8, 8, 7, 5, 4, 4, 6, 4, 5, 5, 6, 6, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 2, 2, 3, 4, 3, 4, 5, 6, 6, 6, 5, 5, 3, 7, 7, 2, 0, 3, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 8, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 6, 8, 0, 0, 1, 0, 9, 6, 4, 13, 9, 3, 7, 8, 4, 6, 8, 7, 5, 4, 4, 5, 7, 8, 0, 9, 9, 13, 6, 0, 10, 12, 9, 7, 6, 6, 8, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 2, 2, 4, 5, 4, 3, 5, 2, 0, 3, 8, 11, 8, 3, 6, 5, 5, 4, 4, 5, 5, 6, 10, 9, 8, 6, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 1, 2, 4, 6, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 6, 5, 3, 2, 3, 4, 2, 4, 6, 7, 7, 4, 1, 0, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 5, 2, 0, 0, 2, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 7, 8, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 16, 4, 0, 7, 12, 7, 4, 7, 8, 7, 5, 4, 3, 4, 5, 6, 12, 9, 4, 1, 5, 10, 7, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 9, 6, 3, 4, 6, 7, 4, 1, 4, 3, 3, 2, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 4, 5, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 4, 5, 6, 5, 2, 3, 6, 10, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 2, 3, 3, 4, 4, 5, 5, 6, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 7, 4, 3, 3, 4, 5, 5, 4, 4, 3, 3, 3, 3, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 6, 10, 13, 137, 54, 0, 0, 22, 15, 2, 3, 7, 7, 6, 6, 5, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 5, 4, 6, 8, 6, 4, 2, 4, 6, 4, 5, 6, 6, 6, 6, 5, 4, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 6, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 6, 4, 4, 5, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 3, 3, 3, 5, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 7, 8, 9, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 4, 3, 1, 5, 5, 5, 4, 4, 3, 3, 3, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 5, 6, 5, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 10, 9, 7, 5, 4, 3, 3, 3, 6, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 7, 8, 7, 5, 4, 5, 6, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 2, 2, 3, 4, 8, 7, 7, 6, 5, 4, 4, 4, 2, 5, 5, 2, 3, 6, 6, 2, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 8, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 7, 7, 7, 6, 7, 6, 6, 6, 5, 5, 5, 4, 8, 6, 4, 10, 24, 18, 0, 0, 4, 6, 10, 11, 7, 3, 0, 0, 7, 6, 5, 5, 5, 5, 6, 7, 7, 9, 33, 27, 19, 16, 0, 2, 10, 8, 7, 6, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 3, 3, 4, 5, 4, 3, 5, 2, 1, 3, 8, 10, 7, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 3, 5, 6, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 8, 7, 5, 4, 5, 6, 4, 5, 6, 7, 6, 5, 3, 1, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 13, 5, 3, 8, 7, 3, 8, 18, 7, 6, 5, 4, 3, 4, 5, 5, 3, 7, 7, 4, 4, 6, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 7, 6, 5, 5, 5, 5, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 4, 5, 5, 4, 3, 4, 5, 5, 5, 5, 4, 3, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 4, 5, 6, 5, 3, 3, 6, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 4, 4, 4, 4, 5, 5, 4, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 2, 2, 3, 5, 6, 6, 5, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 6, 4, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 8, 11, 25, 17, 13, 15, 11, 3, 1, 4, 7, 6, 6, 6, 6, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 4, 5, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 6, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 10, 7, 4, 3, 5, 7, 8, 8, 6, 6, 5, 5, 5, 5, 4, 4, 6, 5, 4, 3, 3, 5, 6, 8, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 6, 6, 6, 7, 7, 8, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 6, 6, 5, 5, 4, 5, 6, 6, 5, 4, 5, 7, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 8, 7, 6, 5, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 2, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 7, 6, 5, 5, 6, 7, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 4, 3, 2, 3, 5, 13, 11, 9, 6, 4, 4, 4, 4, 3, 6, 6, 5, 6, 9, 6, 1, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 7, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 21, 24, 0, 0, 9, 0, 21, 15, 0, 3, 13, 4, 3, 9, 4, 6, 6, 5, 5, 5, 5, 6, 6, 12, 15, 57, 27, 3, 14, 8, 52, 11, 9, 6, 6, 6, 5, 2, 0, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 3, 3, 4, 6, 5, 4, 5, 3, 2, 4, 8, 9, 7, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 3, 3, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 4, 6, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 6, 7, 7, 7, 6, 7, 8, 7, 5, 4, 5, 6, 6, 6, 6, 6, 5, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 5, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 7, 7, 2, 0, 12, 28, 7, 6, 5, 4, 4, 4, 4, 5, 0, 5, 9, 6, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 3, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 5, 4, 5, 6, 5, 3, 2, 3, 5, 6, 6, 5, 3, 2, 8, 7, 6, 6, 4, 4, 3, 2, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 8, 7, 6, 5, 4, 4, 4, 5, 4, 5, 5, 5, 4, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 4, 7, 7, 7, 7, 6, 6, 5, 5, 5, 4, 5, 6, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 6, 8, 0, 7, 13, 5, 0, 4, 5, 1, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 6, 5, 5, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 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4, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 5, 6, 7, 8, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 2, 2, 3, 3, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 5, 3, 2, 3, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 7, 10, 10, 6, 4, 5, 5, 2, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 5, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 7, 6, 6, 6, 5, 5, 5, 4, 0, 13, 14, 0, 5, 21, 20, 19, 13, 6, 1, 3, 7, 11, 10, 6, 3, 4, 5, 5, 5, 5, 4, 3, 4, 5, 12, 5, 1, 4, 6, 17, 7, 6, 5, 6, 7, 8, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 4, 4, 6, 7, 7, 6, 4, 5, 6, 6, 5, 5, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 3, 4, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 3, 3, 5, 7, 8, 6, 6, 5, 5, 5, 4, 4, 4, 6, 7, 8, 7, 5, 4, 5, 6, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 4, 2, 5, 5, 6, 7, 6, 5, 4, 3, 8, 13, 13, 7, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 7, 7, 7, 6, 5, 4, 3, 4, 6, 7, 6, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 4, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 7, 6, 6, 6, 7, 7, 4, 3, 3, 5, 8, 8, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 4, 4, 4, 4, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 5, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 7, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 2, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 8, 9, 9, 9, 11, 12, 0, 3, 9, 11, 5, 0, 0, 4, 6, 6, 6, 7, 7, 8, 8, 9, 5, 5, 5, 6, 6, 7, 7, 7, 6, 3, 2, 3, 7, 8, 7, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 2, 5, 9, 10, 8, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 6, 4, 4, 4, 6, 6, 5, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 7, 8, 9, 11, 12, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 5, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 7, 0, 0, 15, 23, 15, 5, 1, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 2, 4, 4, 5, 5, 4, 4, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 12, 11, 10, 8, 7, 6, 6, 6, 2, 2, 3, 4, 6, 7, 8, 8, 3, 3, 5, 6, 6, 6, 6, 6, 9, 7, 5, 4, 4, 5, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 7, 8, 9, 4, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 2, 2, 3, 3, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 6, 6, 5, 3, 2, 2, 4, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 7, 8, 8, 7, 7, 6, 7, 5, 1, 0, 4, 9, 6, 0, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 6, 5, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 7, 7, 7, 6, 6, 6, 5, 5, 10, 7, 2, 16, 14, 0, 0, 2, 6, 15, 10, 2, 4, 5, 4, 9, 2, 3, 5, 6, 6, 5, 3, 2, 14, 0, 14, 0, 2, 19, 0, 2, 10, 8, 7, 7, 8, 8, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 12, 9, 7, 5, 5, 5, 3, 2, 4, 5, 7, 6, 5, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 6, 8, 9, 10, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 4, 4, 3, 2, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 3, 5, 7, 9, 7, 7, 7, 6, 6, 5, 5, 5, 4, 5, 6, 5, 3, 2, 3, 4, 2, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 2, 5, 8, 10, 10, 8, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 2, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 8, 10, 8, 6, 6, 7, 6, 4, 5, 6, 7, 6, 5, 3, 2, 0, 9, 17, 12, 3, 1, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 3, 1, 3, 7, 9, 7, 4, 4, 3, 3, 2, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 6, 6, 7, 8, 8, 4, 3, 3, 5, 8, 9, 6, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 6, 6, 7, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 5, 6, 5, 5, 6, 8, 8, 6, 4, 8, 7, 5, 3, 4, 7, 7, 5, 6, 2, 6, 3, 0, 11, 17, 0, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 6, 8, 6, 1, 2, 6, 7, 6, 6, 5, 5, 6, 6, 7, 2, 2, 3, 3, 3, 3, 3, 4, 2, 3, 4, 5, 5, 5, 4, 4, 2, 5, 7, 7, 6, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 8, 8, 6, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 8, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 9, 8, 3, 1, 4, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 8, 8, 8, 7, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 4, 3, 3, 5, 10, 15, 19, 1, 2, 3, 2, 2, 2, 4, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 2, 12, 17, 11, 7, 8, 9, 8, 5, 4, 3, 3, 4, 7, 10, 12, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 7, 8, 7, 5, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 6, 2, 3, 7, 7, 4, 6, 5, 4, 3, 4, 6, 9, 11, 6, 6, 6, 6, 6, 6, 6, 6, 9, 10, 11, 9, 7, 5, 6, 7, 6, 5, 3, 2, 2, 3, 5, 6, 7, 7, 6, 5, 5, 5, 6, 6, 7, 7, 5, 4, 3, 2, 2, 2, 7, 7, 7, 7, 7, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 4, 3, 3, 4, 4, 4, 8, 9, 5, 2, 4, 9, 13, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 8, 13, 7, 4, 0, 7, 6, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 10, 9, 9, 8, 7, 6, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 8, 7, 5, 5, 5, 5, 7, 8, 9, 6, 4, 5, 7, 8, 6, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 4, 3, 3, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 13, 12, 10, 8, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 8, 5, 3, 4, 6, 7, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 4, 4, 4, 4, 3, 3, 4, 6, 6, 6, 6, 6, 4, 5, 6, 7, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 3, 5, 7, 9, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 8, 5, 5, 13, 9, 0, 1, 3, 6, 12, 8, 1, 8, 9, 0, 4, 5, 6, 6, 6, 5, 5, 4, 8, 7, 7, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 6, 6, 6, 5, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 6, 5, 4, 3, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 3, 6, 9, 8, 6, 4, 5, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 3, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 6, 7, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 7, 5, 5, 6, 7, 7, 6, 4, 8, 8, 8, 7, 7, 7, 5, 3, 6, 9, 5, 7, 12, 2, 0, 10, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 8, 12, 10, 4, 3, 5, 7, 6, 6, 5, 5, 6, 6, 7, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 4, 5, 5, 5, 5, 4, 2, 5, 7, 7, 6, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 6, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 5, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 6, 8, 10, 10, 8, 5, 3, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 3, 3, 6, 9, 13, 15, 3, 4, 4, 3, 2, 2, 4, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 11, 16, 17, 10, 5, 5, 6, 4, 7, 6, 5, 4, 4, 6, 8, 9, 6, 6, 5, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 6, 8, 7, 5, 4, 5, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 2, 1, 4, 5, 2, 6, 5, 4, 3, 4, 6, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 8, 9, 9, 8, 5, 4, 4, 6, 6, 6, 5, 5, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 7, 8, 7, 6, 5, 4, 3, 3, 3, 3, 6, 7, 7, 7, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 3, 3, 3, 3, 4, 5, 6, 6, 7, 6, 5, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 0, 0, 13, 37, 12, 0, 27, 0, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 5, 4, 3, 3, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 8, 8, 7, 6, 5, 4, 4, 5, 6, 7, 9, 6, 5, 5, 7, 7, 6, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 6, 6, 10, 9, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 8, 6, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 5, 6, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 6, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 8, 4, 2, 9, 7, 4, 10, 0, 2, 8, 5, 2, 14, 21, 10, 3, 4, 5, 5, 6, 5, 5, 4, 7, 7, 6, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 3, 0, 3, 9, 12, 9, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 7, 8, 6, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 6, 5, 5, 3, 6, 8, 8, 6, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 5, 5, 5, 5, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 3, 3, 3, 7, 5, 4, 5, 6, 7, 6, 4, 6, 6, 7, 8, 7, 4, 2, 1, 0, 6, 0, 0, 19, 4, 0, 14, 3, 4, 4, 5, 5, 6, 6, 7, 5, 6, 10, 15, 13, 7, 4, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 3, 2, 2, 2, 3, 3, 4, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 8, 7, 5, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 9, 0, 0, 5, 8, 4, 3, 6, 6, 6, 6, 5, 5, 4, 4, 4, 1, 4, 9, 12, 12, 9, 5, 2, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 6, 7, 9, 10, 5, 6, 6, 5, 3, 3, 4, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 14, 15, 12, 6, 4, 5, 4, 2, 9, 8, 6, 5, 4, 5, 6, 6, 7, 7, 6, 5, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 6, 7, 6, 5, 4, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 1, 7, 9, 5, 2, 3, 4, 3, 5, 5, 4, 4, 4, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 4, 3, 4, 5, 6, 6, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 7, 8, 9, 10, 6, 5, 4, 4, 4, 4, 4, 5, 6, 6, 6, 7, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 4, 3, 4, 6, 9, 7, 3, 0, 2, 3, 4, 6, 6, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 5, 13, 25, 206, 59, 25, 0, 21, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 3, 2, 2, 1, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 7, 5, 4, 3, 3, 3, 3, 4, 4, 6, 7, 8, 9, 9, 5, 5, 4, 4, 4, 4, 5, 5, 8, 7, 5, 5, 7, 7, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 4, 4, 5, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 7, 8, 8, 7, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 7, 6, 5, 4, 3, 4, 5, 6, 4, 4, 4, 5, 6, 8, 9, 10, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 2, 0, 6, 6, 4, 11, 1, 1, 5, 4, 3, 18, 28, 22, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 2, 0, 2, 11, 15, 11, 5, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 8, 9, 8, 5, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 4, 6, 7, 7, 6, 5, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 9, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 7, 5, 4, 4, 5, 6, 6, 5, 4, 3, 3, 5, 4, 2, 3, 6, 23, 19, 4, 0, 10, 11, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 9, 13, 11, 6, 5, 8, 6, 6, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 2, 2, 1, 3, 4, 5, 5, 6, 6, 5, 5, 3, 5, 7, 6, 5, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 3, 3, 4, 5, 6, 7, 7, 6, 5, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 10, 0, 0, 12, 18, 9, 3, 7, 6, 6, 6, 5, 5, 4, 4, 4, 2, 4, 7, 9, 10, 8, 5, 4, 4, 5, 7, 9, 9, 7, 5, 4, 3, 4, 5, 5, 6, 6, 6, 6, 7, 8, 8, 6, 4, 3, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 6, 4, 5, 6, 5, 2, 8, 7, 6, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 11, 16, 11, 6, 6, 8, 8, 5, 5, 4, 4, 4, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 7, 4, 3, 4, 5, 4, 5, 6, 7, 7, 6, 5, 4, 6, 5, 6, 6, 7, 8, 10, 11, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 6, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 7, 6, 5, 3, 2, 8, 5, 4, 6, 6, 5, 7, 11, 1, 3, 5, 7, 8, 6, 5, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 0, 24, 111, 18, 0, 0, 0, 5, 5, 6, 6, 6, 6, 7, 7, 4, 4, 4, 3, 3, 2, 2, 2, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 6, 5, 5, 5, 5, 2, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 9, 11, 8, 4, 1, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 9, 7, 5, 3, 2, 3, 5, 6, 7, 6, 5, 5, 6, 8, 10, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 5, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 4, 5, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 9, 2, 2, 13, 12, 4, 4, 5, 3, 6, 5, 2, 13, 22, 16, 1, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 3, 1, 3, 9, 11, 9, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 7, 7, 6, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 7, 6, 5, 4, 4, 5, 6, 6, 6, 5, 5, 5, 8, 6, 4, 2, 2, 4, 6, 8, 9, 9, 8, 7, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 5, 3, 3, 4, 6, 6, 5, 7, 3, 2, 4, 3, 3, 9, 18, 40, 7, 14, 27, 3, 0, 10, 10, 8, 7, 7, 6, 4, 3, 3, 2, 7, 5, 6, 8, 6, 3, 5, 10, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 4, 3, 2, 2, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 6, 5, 4, 3, 5, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 3, 4, 5, 5, 8, 7, 7, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 12, 2, 5, 21, 26, 15, 6, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 7, 7, 7, 4, 5, 7, 9, 9, 7, 5, 4, 4, 4, 5, 6, 6, 5, 4, 3, 8, 8, 8, 7, 4, 4, 5, 7, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 3, 2, 4, 6, 5, 3, 2, 6, 5, 5, 5, 6, 6, 7, 7, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 13, 17, 13, 8, 8, 9, 9, 5, 4, 4, 4, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 7, 6, 5, 6, 7, 3, 4, 5, 6, 6, 5, 4, 3, 5, 5, 5, 6, 7, 8, 10, 10, 5, 5, 5, 4, 5, 5, 6, 7, 4, 4, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 7, 7, 5, 4, 3, 6, 4, 4, 4, 2, 4, 18, 34, 2, 3, 6, 8, 8, 7, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 26, 0, 15, 6, 5, 15, 13, 12, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 6, 7, 8, 8, 5, 5, 5, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 6, 6, 4, 5, 6, 6, 6, 6, 5, 4, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 8, 10, 11, 8, 4, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 9, 7, 5, 3, 2, 3, 5, 6, 9, 8, 7, 5, 5, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 9, 10, 9, 7, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 4, 5, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 3, 10, 28, 27, 10, 2, 6, 2, 6, 6, 1, 6, 11, 5, 2, 3, 4, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 5, 3, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 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5, 5, 5, 2, 2, 3, 4, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 5, 3, 3, 4, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 3, 3, 2, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 6, 6, 6, 6, 6, 3, 3, 4, 4, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 9, 17, 24, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 3, 7, 10, 8, 4, 2, 5, 9, 4, 3, 2, 1, 1, 2, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 5, 4, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 2, 3, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 11, 9, 6, 4, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 3, 3, 4, 5, 7, 5, 3, 2, 3, 6, 10, 12, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 9, 6, 4, 11, 21, 14, 11, 6, 2, 2, 4, 7, 10, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 7, 8, 7, 3, 2, 3, 5, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 2, 8, 0, 23, 0, 17, 4, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 1, 4, 7, 7, 5, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 5, 6, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 1, 2, 4, 5, 6, 5, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 5, 5, 5, 4, 3, 2, 5, 5, 5, 6, 6, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 7, 7, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 2, 2, 2, 4, 5, 6, 7, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 3, 2, 2, 3, 4, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 16, 0, 28, 1, 0, 10, 14, 3, 4, 3, 2, 5, 10, 12, 12, 10, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 2, 0, 1, 4, 7, 11, 7, 4, 4, 6, 9, 9, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 6, 5, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 3, 3, 4, 6, 6, 4, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 4, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 2, 2, 3, 4, 5, 5, 5, 4, 8, 0, 14, 15, 11, 7, 6, 0, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 4, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 6, 7, 6, 4, 4, 5, 6, 6, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 6, 6, 6, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 2, 4, 5, 4, 3, 5, 8, 12, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 6, 5, 5, 5, 3, 7, 9, 8, 4, 2, 5, 9, 6, 5, 4, 3, 3, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 9, 8, 5, 3, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 3, 3, 4, 5, 6, 5, 4, 3, 4, 6, 8, 10, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 8, 6, 4, 9, 16, 22, 18, 13, 8, 5, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 3, 3, 4, 6, 7, 6, 4, 3, 4, 6, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 4, 4, 4, 4, 3, 2, 5, 5, 11, 0, 13, 10, 0, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 11, 12, 11, 8, 4, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 5, 7, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 2, 3, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 5, 5, 4, 3, 2, 5, 5, 5, 6, 6, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 2, 2, 3, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 6, 6, 5, 5, 5, 0, 12, 0, 21, 38, 8, 0, 20, 7, 5, 4, 5, 8, 9, 8, 6, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 4, 3, 5, 8, 11, 18, 13, 7, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 3, 5, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 5, 5, 10, 16, 2, 0, 0, 6, 2, 7, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 8, 7, 5, 5, 6, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 6, 6, 6, 7, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 3, 4, 5, 6, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 7, 8, 2, 5, 7, 8, 5, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 7, 6, 6, 6, 5, 5, 5, 5, 3, 6, 8, 7, 4, 3, 5, 8, 8, 7, 6, 6, 6, 6, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 7, 7, 5, 3, 2, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 4, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 2, 6, 7, 5, 6, 9, 21, 19, 15, 10, 7, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 3, 5, 6, 6, 4, 4, 5, 7, 2, 3, 4, 5, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 2, 8, 0, 0, 6, 14, 1, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 3, 3, 4, 4, 6, 6, 5, 3, 1, 2, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 6, 5, 5, 6, 8, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 5, 5, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 5, 5, 6, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 2, 2, 3, 4, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 6, 6, 5, 5, 5, 5, 6, 25, 3, 0, 4, 6, 15, 4, 8, 7, 5, 5, 5, 5, 4, 2, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 4, 6, 9, 12, 18, 14, 8, 4, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 8, 8, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 4, 7, 9, 8, 5, 2, 3, 5, 4, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 3, 2, 2, 4, 4, 5, 6, 6, 6, 6, 5, 0, 17, 6, 7, 17, 11, 5, 3, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 5, 4, 3, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 6, 7, 6, 5, 4, 5, 7, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 5, 5, 6, 7, 7, 7, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 5, 3, 2, 3, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 3, 5, 7, 9, 7, 8, 10, 10, 9, 6, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 4, 6, 7, 6, 4, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 7, 6, 5, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 3, 3, 4, 5, 4, 5, 6, 7, 6, 5, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 0, 0, 5, 7, 5, 3, 5, 10, 10, 9, 7, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 3, 4, 5, 5, 5, 5, 6, 7, 5, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 4, 4, 4, 4, 5, 9, 3, 7, 13, 1, 2, 8, 11, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 7, 7, 6, 4, 2, 7, 6, 5, 6, 8, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 2, 3, 4, 5, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 7, 7, 8, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 0, 10, 0, 29, 5, 18, 234, 39, 7, 6, 5, 4, 4, 3, 2, 1, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 3, 2, 3, 6, 8, 9, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 7, 8, 8, 4, 4, 4, 4, 5, 6, 7, 7, 5, 6, 6, 7, 7, 6, 6, 5, 4, 9, 12, 10, 4, 1, 3, 6, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 12, 9, 6, 4, 4, 3, 2, 0, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 3, 3, 2, 5, 6, 6, 7, 7, 7, 6, 6, 1, 4, 1, 12, 15, 0, 8, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 10, 9, 7, 6, 5, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 5, 6, 5, 4, 3, 4, 6, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 3, 3, 3, 4, 5, 5, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 5, 3, 2, 3, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 3, 5, 7, 9, 9, 8, 8, 8, 8, 8, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 6, 5, 4, 4, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 3, 3, 4, 5, 3, 4, 6, 7, 7, 5, 3, 2, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 0, 0, 5, 7, 5, 3, 5, 4, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 5, 4, 4, 4, 4, 6, 6, 6, 6, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 5, 5, 5, 6, 7, 6, 6, 10, 47, 13, 9, 0, 19, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 4, 4, 5, 5, 10, 9, 7, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 8, 8, 6, 4, 3, 6, 5, 5, 6, 8, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 4, 14, 14, 0, 23, 6, 78, 13, 4, 4, 4, 4, 3, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 4, 3, 2, 4, 5, 1, 4, 7, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 5, 6, 7, 7, 4, 4, 4, 4, 5, 6, 7, 7, 5, 6, 6, 7, 7, 6, 6, 5, 4, 9, 12, 10, 4, 1, 3, 6, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 12, 9, 6, 4, 4, 3, 2, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 6, 6, 7, 7, 7, 6, 6, 5, 9, 9, 35, 89, 44, 2, 18, 11, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 8, 7, 7, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 5, 3, 2, 4, 5, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 3, 3, 4, 4, 4, 4, 5, 5, 3, 4, 4, 4, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 7, 8, 7, 5, 3, 4, 6, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 3, 3, 5, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 3, 3, 4, 5, 2, 3, 5, 6, 6, 5, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 6, 5, 5, 4, 3, 3, 4, 2, 2, 6, 7, 5, 6, 9, 7, 7, 6, 6, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 4, 6, 7, 6, 5, 8, 8, 7, 6, 5, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 6, 5, 5, 6, 8, 9, 0, 8, 16, 66, 24, 18, 0, 15, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 5, 5, 5, 7, 4, 2, 2, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 5, 4, 4, 5, 6, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 7, 7, 6, 5, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 3, 6, 0, 0, 18, 8, 5, 31, 0, 2, 4, 5, 5, 3, 3, 4, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 5, 4, 5, 6, 2, 5, 9, 10, 8, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 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6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 6, 5, 5, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 2, 3, 5, 6, 7, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 7, 8, 8, 7, 6, 6, 3, 3, 5, 5, 5, 5, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 0, 0, 2, 10, 21, 28, 17, 10, 6, 6, 6, 3, 3, 5, 7, 6, 5, 5, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 2, 10, 1, 7, 5, 9, 0, 8, 4, 5, 5, 6, 6, 5, 5, 4, 3, 5, 6, 5, 4, 3, 4, 6, 3, 5, 9, 11, 11, 9, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 27, 15, 5, 4, 7, 6, 4, 4, 6, 8, 10, 9, 7, 6, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 4, 2, 2, 4, 6, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 4, 3, 3, 4, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 5, 6, 6, 6, 6, 7, 7, 7, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 2, 3, 4, 6, 6, 5, 4, 4, 5, 4, 4, 5, 7, 8, 6, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 8, 6, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 7, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 6, 8, 9, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 10, 9, 7, 6, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 2, 2, 3, 3, 4, 5, 6, 7, 6, 4, 3, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 10, 3, 12, 20, 10, 3, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 12, 11, 9, 5, 3, 3, 6, 9, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 9, 7, 5, 4, 3, 3, 4, 5, 6, 7, 8, 6, 5, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 5, 7, 6, 4, 3, 3, 4, 3, 3, 4, 5, 5, 6, 7, 7, 10, 7, 5, 4, 5, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 6, 9, 8, 4, 2, 3, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 12, 19, 18, 11, 4, 3, 5, 8, 3, 1, 5, 8, 6, 5, 6, 7, 5, 5, 6, 8, 9, 8, 6, 2, 9, 14, 13, 9, 7, 5, 2, 0, 12, 4, 4, 11, 8, 9, 0, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 7, 7, 7, 6, 5, 4, 2, 1, 3, 5, 6, 5, 4, 3, 4, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 61, 17, 0, 6, 9, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 6, 5, 3, 2, 2, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 4, 4, 4, 4, 5, 5, 5, 8, 10, 8, 4, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 5, 5, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 2, 3, 4, 6, 6, 4, 3, 2, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 7, 7, 4, 4, 5, 5, 5, 5, 6, 6, 3, 3, 3, 3, 4, 5, 6, 7, 4, 4, 5, 5, 5, 5, 4, 3, 3, 4, 5, 6, 6, 6, 5, 5, 7, 7, 7, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 6, 8, 9, 9, 18, 10, 5, 6, 5, 4, 4, 7, 8, 7, 5, 4, 3, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 9, 0, 0, 5, 6, 2, 12, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 6, 6, 4, 3, 5, 6, 4, 5, 8, 10, 10, 8, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 20, 10, 3, 4, 6, 6, 6, 7, 6, 8, 9, 9, 7, 5, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 4, 2, 2, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 3, 3, 5, 7, 8, 7, 6, 5, 3, 3, 5, 6, 7, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 6, 8, 8, 7, 5, 3, 5, 5, 5, 6, 6, 6, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 6, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 6, 8, 9, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 11, 9, 8, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 6, 6, 5, 6, 7, 6, 4, 3, 3, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 9, 4, 19, 34, 22, 6, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 14, 12, 9, 5, 3, 4, 5, 7, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 5, 4, 4, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 5, 4, 4, 4, 4, 5, 0, 4, 6, 4, 2, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 6, 7, 7, 5, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 6, 4, 4, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 6, 6, 4, 3, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 9, 14, 13, 8, 3, 2, 3, 5, 5, 3, 3, 6, 9, 6, 0, 8, 6, 5, 4, 5, 5, 3, 1, 8, 13, 13, 7, 5, 7, 7, 3, 4, 12, 7, 9, 13, 1, 0, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 4, 3, 3, 4, 5, 6, 6, 4, 3, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 81, 28, 0, 4, 11, 9, 6, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 7, 11, 9, 3, 0, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 6, 6, 6, 6, 5, 4, 6, 5, 5, 5, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 5, 5, 5, 5, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 3, 5, 8, 9, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 7, 7, 6, 6, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 7, 8, 7, 3, 0, 14, 7, 3, 5, 6, 5, 6, 9, 8, 7, 5, 4, 3, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 1, 1, 13, 5, 1, 7, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 7, 6, 4, 4, 5, 6, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 6, 5, 2, 3, 7, 4, 6, 8, 7, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 4, 2, 2, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 5, 4, 4, 5, 7, 9, 7, 5, 4, 3, 3, 4, 5, 7, 5, 5, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 8, 9, 9, 8, 6, 4, 4, 5, 6, 6, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 6, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 7, 8, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 7, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 7, 8, 9, 5, 6, 7, 6, 4, 3, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 6, 0, 12, 26, 14, 0, 0, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 11, 10, 8, 7, 6, 5, 4, 3, 7, 6, 6, 5, 5, 6, 6, 7, 7, 7, 6, 6, 5, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 0, 4, 5, 1, 1, 5, 6, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 6, 8, 7, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 6, 6, 7, 5, 4, 5, 6, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 4, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 5, 5, 5, 4, 3, 2, 7, 7, 2, 2, 7, 9, 5, 8, 6, 5, 5, 6, 6, 4, 2, 2, 4, 4, 4, 6, 10, 9, 5, 16, 11, 4, 0, 4, 9, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 4, 5, 7, 6, 4, 4, 5, 6, 4, 5, 5, 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4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 1, 2, 4, 5, 6, 7, 7, 7, 4, 6, 7, 6, 5, 4, 5, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 0, 0, 6, 7, 2, 8, 12, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 4, 5, 6, 2, 4, 7, 8, 8, 7, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 1, 4, 7, 7, 5, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 5, 5, 5, 6, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 9, 8, 7, 6, 7, 9, 11, 13, 8, 8, 6, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 4, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 6, 9, 12, 7, 2, 1, 4, 6, 5, 5, 7, 5, 6, 6, 6, 5, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 6, 6, 6, 6, 4, 4, 5, 3, 14, 18, 40, 16, 8, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 7, 7, 5, 5, 6, 7, 5, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 4, 4, 8, 8, 4, 1, 2, 2, 4, 6, 5, 3, 2, 2, 3, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 4, 2, 2, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 5, 5, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 5, 5, 5, 4, 4, 4, 7, 6, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 3, 3, 5, 7, 6, 4, 2, 2, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 7, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 6, 5, 4, 3, 3, 3, 4, 4, 3, 3, 3, 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4, 8, 6, 5, 5, 7, 9, 11, 11, 10, 9, 5, 8, 14, 9, 2, 14, 36, 73, 16, 20, 20, 0, 6, 8, 7, 6, 6, 4, 4, 4, 4, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 3, 3, 4, 5, 6, 6, 6, 6, 5, 6, 7, 7, 5, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 18, 4, 0, 0, 0, 9, 11, 0, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 4, 3, 4, 6, 7, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 5, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 6, 8, 7, 5, 4, 3, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 4, 3, 3, 4, 5, 6, 9, 8, 7, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 6, 8, 8, 6, 4, 3, 4, 6, 2, 1, 5, 6, 4, 3, 4, 4, 5, 6, 7, 6, 5, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 7, 0, 6, 4, 29, 6, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 5, 6, 7, 7, 5, 5, 6, 7, 3, 5, 9, 11, 11, 9, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 3, 5, 7, 9, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 11, 4, 1, 6, 12, 11, 7, 5, 3, 5, 6, 6, 4, 2, 2, 3, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 4, 2, 2, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 5, 6, 6, 5, 3, 2, 7, 7, 7, 6, 6, 5, 5, 5, 7, 5, 4, 3, 2, 3, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 3, 2, 2, 2, 2, 2, 3, 5, 8, 6, 3, 1, 2, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 2, 2, 3, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 9, 8, 6, 4, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 8, 9, 10, 9, 7, 6, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 1, 0, 7, 9, 5, 9, 9, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 7, 4, 2, 2, 5, 6, 4, 2, 3, 5, 7, 9, 9, 7, 5, 3, 4, 5, 5, 6, 6, 7, 7, 8, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 5, 6, 6, 6, 5, 5, 3, 6, 5, 6, 20, 36, 35, 23, 6, 6, 6, 5, 5, 4, 4, 4, 5, 7, 8, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 6, 6, 7, 7, 5, 3, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 5, 6, 6, 6, 4, 2, 4, 5, 7, 8, 8, 7, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 0, 5, 10, 9, 3, 0, 1, 4, 7, 1, 2, 8, 9, 3, 0, 2, 8, 6, 5, 5, 7, 7, 6, 4, 8, 1, 4, 12, 7, 8, 42, 85, 246, 67, 0, 10, 8, 9, 4, 7, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 6, 6, 6, 5, 4, 4, 5, 6, 7, 7, 5, 5, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 8, 8, 6, 4, 2, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 1, 0, 9, 14, 2, 0, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 4, 3, 4, 6, 7, 5, 5, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 8, 7, 6, 6, 6, 5, 2, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 5, 5, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 5, 8, 7, 5, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 9, 9, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 5, 5, 5, 6, 6, 10, 9, 7, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 3, 3, 7, 7, 7, 6, 6, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 3, 4, 6, 9, 5, 5, 4, 4, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 8, 11, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 2, 10, 12, 6, 3, 6, 7, 4, 4, 7, 8, 7, 4, 3, 6, 9, 3, 46, 60, 54, 20, 0, 9, 11, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 8, 6, 4, 2, 2, 4, 6, 8, 6, 6, 6, 6, 6, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 4, 4, 3, 3, 4, 5, 6, 6, 4, 4, 5, 6, 11, 9, 7, 7, 7, 7, 5, 3, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 9, 6, 4, 4, 6, 6, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 7, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 2, 2, 3, 3, 5, 5, 6, 6, 4, 6, 7, 6, 6, 6, 4, 1, 3, 3, 3, 4, 4, 5, 5, 5, 4, 7, 9, 7, 5, 4, 6, 8, 6, 5, 3, 2, 3, 5, 7, 9, 2, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 2, 1, 7, 5, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 6, 6, 4, 4, 6, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 5, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 5, 6, 6, 5, 3, 3, 5, 7, 8, 5, 3, 2, 4, 7, 9, 9, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 5, 4, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 3, 3, 4, 5, 6, 1, 4, 6, 6, 5, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 5, 7, 9, 9, 7, 5, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 7, 9, 8, 4, 2, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 2, 13, 67, 76, 19, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 2, 7, 7, 7, 6, 6, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 5, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 8, 8, 8, 8, 8, 7, 6, 5, 11, 10, 6, 6, 4, 3, 37, 91, 243, 73, 0, 20, 18, 3, 8, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 2, 5, 8, 9, 7, 4, 2, 2, 2, 3, 4, 4, 6, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 4, 5, 6, 7, 8, 6, 7, 7, 6, 4, 4, 6, 8, 9, 9, 8, 8, 7, 6, 5, 5, 5, 5, 6, 6, 5, 3, 1, 0, 2, 3, 5, 6, 7, 6, 5, 4, 3, 3, 4, 5, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 5, 3, 3, 7, 4, 3, 4, 6, 6, 3, 0, 4, 4, 4, 3, 6, 8, 7, 4, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 7, 7, 8, 8, 7, 5, 3, 2, 2, 7, 16, 21, 14, 2, 0, 4, 5, 7, 9, 8, 6, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 5, 4, 4, 6, 8, 3, 3, 3, 4, 5, 6, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 3, 4, 7, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 3, 3, 2, 7, 7, 6, 6, 4, 4, 3, 3, 7, 7, 6, 6, 4, 4, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 2, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 4, 4, 7, 9, 6, 5, 5, 5, 4, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 7, 8, 6, 6, 7, 6, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 4, 3, 4, 6, 6, 4, 2, 3, 4, 4, 3, 4, 7, 9, 20, 84, 249, 65, 24, 0, 0, 10, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 4, 5, 6, 6, 4, 4, 5, 6, 10, 9, 7, 7, 7, 7, 5, 3, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 4, 6, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 9, 9, 7, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 2, 2, 3, 4, 4, 5, 6, 6, 5, 6, 7, 6, 5, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 6, 7, 7, 4, 3, 5, 7, 5, 5, 4, 3, 4, 5, 7, 8, 3, 3, 4, 4, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 6, 7, 7, 5, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 6, 4, 3, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 6, 6, 6, 6, 4, 4, 5, 6, 6, 5, 3, 3, 5, 7, 4, 4, 4, 4, 4, 4, 5, 6, 4, 5, 6, 6, 6, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 6, 5, 4, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 6, 6, 7, 8, 2, 4, 6, 6, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 8, 10, 9, 5, 3, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 7, 0, 7, 7, 6, 36, 45, 9, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 4, 5, 5, 5, 5, 5, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 7, 7, 7, 7, 7, 6, 5, 4, 4, 6, 6, 9, 10, 4, 16, 46, 57, 7, 4, 19, 0, 0, 8, 1, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 7, 6, 4, 3, 3, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 4, 3, 3, 4, 5, 6, 7, 8, 6, 7, 7, 6, 4, 4, 6, 8, 8, 8, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 3, 2, 1, 3, 4, 5, 6, 7, 6, 5, 5, 3, 4, 5, 5, 6, 6, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 8, 6, 4, 5, 7, 7, 4, 2, 7, 7, 6, 4, 5, 6, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 7, 7, 7, 7, 6, 5, 4, 3, 3, 5, 12, 17, 13, 4, 1, 4, 5, 5, 6, 5, 4, 6, 9, 12, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 5, 5, 5, 4, 4, 6, 8, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 11, 9, 6, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 7, 7, 6, 5, 5, 4, 3, 3, 7, 7, 6, 5, 5, 4, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 2, 3, 4, 4, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 5, 5, 7, 9, 7, 6, 6, 6, 5, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 8, 11, 7, 3, 4, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 1, 0, 3, 7, 7, 6, 6, 6, 5, 3, 4, 5, 7, 7, 6, 9, 53, 129, 32, 13, 12, 7, 0, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 4, 5, 6, 6, 4, 4, 5, 6, 10, 8, 6, 6, 7, 7, 5, 4, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 5, 3, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 2, 2, 3, 4, 4, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 3, 5, 6, 5, 4, 3, 4, 6, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 6, 8, 9, 7, 5, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 5, 3, 3, 5, 7, 2, 5, 9, 9, 6, 3, 3, 5, 5, 6, 7, 7, 7, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 4, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 6, 6, 7, 8, 2, 4, 6, 6, 5, 3, 4, 5, 7, 7, 6, 6, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 5, 4, 4, 5, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 7, 9, 10, 9, 7, 5, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 7, 0, 7, 13, 1, 5, 14, 4, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 4, 4, 5, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 3, 3, 4, 5, 7, 8, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 1, 5, 3, 6, 13, 7, 1, 8, 5, 11, 22, 18, 2, 4, 8, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 6, 4, 2, 2, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 5, 6, 7, 8, 5, 6, 7, 6, 4, 4, 6, 8, 7, 6, 6, 5, 4, 4, 3, 3, 5, 6, 6, 6, 5, 4, 2, 2, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 6, 6, 8, 7, 6, 6, 5, 5, 6, 6, 5, 5, 6, 6, 6, 5, 4, 3, 8, 7, 5, 6, 7, 7, 6, 4, 8, 8, 8, 6, 4, 3, 4, 6, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 7, 11, 11, 6, 3, 4, 4, 4, 3, 2, 3, 7, 14, 19, 6, 5, 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4, 4, 4, 4, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 3, 3, 4, 5, 6, 4, 6, 6, 6, 4, 4, 5, 7, 9, 8, 8, 7, 6, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 7, 8, 8, 7, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 10, 9, 4, 7, 10, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 6, 7, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 5, 3, 2, 3, 4, 5, 4, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 4, 4, 3, 3, 9, 2, 0, 4, 10, 8, 10, 0, 2, 0, 4, 11, 0, 0, 12, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 6, 8, 11, 11, 9, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 4, 4, 4, 5, 6, 7, 4, 5, 6, 5, 3, 3, 5, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 6, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 5, 5, 4, 3, 3, 4, 5, 6, 3, 1, 4, 9, 8, 3, 1, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 5, 3, 3, 4, 5, 6, 5, 3, 1, 2, 7, 9, 7, 3, 3, 4, 6, 6, 6, 7, 10, 13, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 6, 5, 3, 3, 5, 7, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 7, 6, 4, 4, 8, 11, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 2, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 2, 1, 2, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 9, 8, 6, 5, 5, 6, 7, 6, 6, 6, 5, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 6, 5, 3, 4, 8, 7, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 6, 4, 6, 9, 7, 3, 8, 6, 4, 4, 5, 6, 5, 5, 14, 0, 21, 0, 18, 23, 8, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 5, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 7, 5, 4, 5, 6, 7, 6, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 6, 4, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 9, 8, 6, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 9, 4, 5, 11, 11, 4, 2, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 4, 3, 4, 5, 6, 5, 3, 6, 6, 5, 5, 5, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 6, 8, 9, 7, 5, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 4, 4, 6, 6, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 5, 3, 3, 5, 7, 2, 5, 9, 9, 6, 3, 3, 5, 3, 3, 4, 5, 5, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 6, 6, 7, 8, 5, 6, 7, 5, 4, 4, 6, 8, 8, 8, 8, 7, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 5, 7, 9, 9, 7, 5, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 5, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 10, 9, 2, 4, 11, 9, 0, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 8, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 6, 6, 6, 6, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 11, 9, 7, 4, 3, 2, 2, 3, 5, 5, 6, 6, 6, 6, 5, 5, 2, 3, 4, 5, 5, 5, 4, 4, 0, 9, 6, 1, 5, 5, 3, 7, 10, 19, 16, 10, 12, 9, 1, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 8, 12, 13, 11, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 4, 5, 5, 4, 3, 3, 4, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 8, 6, 5, 3, 3, 4, 5, 6, 6, 5, 4, 3, 3, 3, 3, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 1, 2, 5, 7, 9, 2, 1, 7, 9, 3, 2, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 3, 2, 5, 9, 8, 3, 2, 5, 8, 8, 7, 6, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 7, 5, 3, 3, 4, 6, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 7, 6, 4, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 3, 2, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 8, 8, 6, 4, 4, 4, 6, 5, 5, 5, 4, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 9, 12, 9, 5, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 7, 5, 2, 12, 25, 18, 0, 4, 5, 5, 4, 3, 3, 5, 6, 7, 16, 2, 23, 3, 0, 3, 19, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 5, 4, 4, 6, 7, 6, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 6, 4, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 5, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 3, 6, 14, 14, 4, 1, 6, 7, 7, 7, 6, 6, 5, 5, 5, 7, 5, 3, 4, 7, 7, 6, 4, 8, 7, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 4, 5, 6, 6, 7, 7, 5, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 3, 4, 6, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 4, 4, 4, 4, 6, 6, 5, 6, 6, 5, 3, 3, 5, 7, 4, 4, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 6, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 6, 6, 7, 8, 6, 7, 7, 5, 4, 4, 6, 8, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 7, 7, 7, 7, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 5, 8, 8, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 11, 5, 0, 6, 7, 3, 3, 7, 6, 5, 4, 4, 4, 4, 5, 4, 3, 3, 4, 5, 6, 7, 8, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 8, 7, 6, 5, 4, 3, 3, 2, 5, 6, 6, 7, 7, 6, 6, 5, 3, 3, 4, 5, 6, 6, 5, 5, 2, 8, 6, 5, 9, 3, 0, 7, 6, 2, 0, 0, 5, 15, 14, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 7, 9, 9, 7, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 4, 3, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 5, 5, 7, 7, 5, 5, 4, 3, 4, 5, 6, 7, 8, 7, 5, 3, 3, 3, 5, 6, 7, 6, 5, 4, 4, 4, 4, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 4, 2, 3, 6, 10, 24, 9, 0, 4, 7, 3, 3, 7, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 4, 4, 3, 7, 6, 4, 5, 9, 8, 3, 3, 5, 7, 7, 5, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 7, 7, 5, 3, 3, 4, 6, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 1, 2, 6, 10, 11, 7, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 8, 8, 5, 3, 3, 3, 5, 5, 4, 4, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 12, 19, 14, 6, 4, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 10, 5, 2, 21, 41, 30, 0, 7, 9, 10, 7, 3, 1, 3, 6, 0, 4, 0, 11, 13, 12, 10, 0, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 3, 3, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 4, 3, 4, 6, 7, 6, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 7, 3, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 7, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 2, 6, 16, 16, 5, 0, 5, 7, 7, 7, 6, 6, 5, 5, 5, 8, 6, 4, 5, 7, 9, 7, 4, 9, 7, 5, 3, 2, 3, 5, 6, 5, 5, 5, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 3, 2, 1, 7, 5, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 2, 3, 7, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 5, 6, 6, 5, 3, 3, 5, 7, 8, 5, 3, 2, 4, 7, 9, 9, 5, 6, 6, 7, 7, 6, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 7, 7, 5, 4, 4, 6, 9, 6, 7, 7, 7, 7, 7, 8, 8, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 8, 6, 5, 6, 9, 10, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 2, 3, 9, 3, 0, 10, 7, 6, 5, 4, 4, 4, 4, 5, 3, 3, 3, 4, 5, 6, 7, 8, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 2, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 6, 6, 6, 5, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 5, 6, 6, 6, 6, 6, 9, 9, 3, 5, 10, 3, 1, 12, 13, 2, 8, 17, 8, 0, 3, 9, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 7, 6, 5, 3, 2, 4, 6, 2, 3, 4, 4, 6, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 8, 8, 6, 4, 2, 6, 6, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 2, 2, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 5, 6, 7, 8, 6, 5, 4, 3, 4, 5, 7, 8, 9, 7, 5, 3, 2, 3, 5, 6, 8, 7, 6, 5, 5, 5, 5, 6, 3, 3, 5, 6, 6, 6, 6, 6, 5, 6, 7, 5, 3, 3, 8, 12, 37, 16, 0, 1, 5, 3, 4, 9, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 2, 3, 4, 6, 6, 5, 4, 3, 3, 8, 9, 5, 5, 8, 8, 3, 3, 5, 6, 5, 3, 2, 3, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 7, 7, 5, 3, 2, 4, 6, 3, 3, 3, 4, 5, 6, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 3, 1, 3, 7, 10, 10, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 2, 3, 9, 18, 19, 14, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 2, 3, 4, 5, 5, 5, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 5, 5, 4, 2, 2, 3, 5, 8, 10, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 9, 9, 9, 9, 2, 4, 6, 6, 4, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 9, 7, 5, 3, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 2, 2, 2, 3, 3, 3, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 4, 6, 5, 3, 2, 2, 3, 5, 6, 2, 3, 4, 5, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 7, 6, 5, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 3, 3, 3, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 5, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 2, 2, 2, 3, 3, 3, 4, 4, 7, 6, 5, 4, 3, 2, 2, 2, 4, 4, 5, 6, 7, 7, 8, 9, 7, 7, 5, 4, 4, 4, 4, 4, 4, 5, 7, 8, 9, 8, 8, 7, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 4, 3, 2, 1, 8, 7, 5, 4, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 0, 2, 5, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 6, 7, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 8, 3, 1, 5, 7, 4, 4, 6, 6, 7, 3, 3, 7, 0, 0, 11, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 6, 4, 2, 3, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 3, 2, 2, 3, 5, 6, 11, 5, 2, 5, 8, 7, 5, 5, 7, 5, 4, 4, 6, 6, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 6, 7, 7, 8, 8, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 8, 11, 13, 10, 4, 1, 3, 6, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 7, 2, 6, 11, 14, 13, 9, 3, 0, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 4, 3, 3, 4, 6, 6, 4, 4, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 7, 6, 5, 10, 10, 9, 8, 7, 5, 5, 4, 3, 4, 5, 6, 7, 6, 5, 4, 7, 5, 1, 1, 3, 10, 17, 22, 88, 25, 0, 4, 13, 4, 0, 2, 6, 5, 5, 4, 4, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 7, 9, 8, 7, 7, 5, 3, 4, 6, 7, 5, 3, 5, 6, 6, 7, 7, 6, 6, 5, 4, 6, 7, 6, 4, 3, 4, 6, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 5, 6, 7, 6, 6, 5, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 6, 7, 7, 5, 7, 7, 6, 6, 4, 4, 3, 3, 1, 3, 5, 4, 3, 2, 2, 3, 5, 4, 4, 4, 4, 5, 6, 7, 2, 5, 9, 9, 6, 3, 3, 4, 3, 4, 4, 5, 5, 6, 6, 7, 7, 5, 4, 3, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 6, 4, 4, 3, 3, 5, 5, 4, 3, 3, 3, 4, 4, 2, 3, 5, 6, 6, 5, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 3, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 6, 2, 4, 6, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 3, 3, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 7, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 2, 3, 4, 5, 6, 7, 7, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 7, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 3, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 7, 6, 5, 4, 3, 2, 3, 3, 4, 4, 5, 5, 6, 7, 8, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 7, 8, 8, 7, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 8, 7, 5, 4, 3, 4, 5, 5, 3, 4, 5, 6, 6, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 1, 4, 6, 7, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 1, 2, 3, 3, 4, 5, 7, 7, 5, 5, 7, 1, 10, 1, 3, 7, 3, 3, 3, 4, 5, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 9, 4, 3, 6, 7, 6, 5, 8, 9, 7, 5, 4, 5, 6, 5, 4, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 8, 8, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 9, 12, 14, 12, 7, 4, 6, 9, 5, 4, 4, 4, 4, 5, 6, 7, 3, 4, 4, 4, 5, 5, 6, 6, 5, 6, 8, 9, 8, 7, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 6, 5, 4, 3, 3, 4, 5, 6, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 6, 6, 6, 6, 7, 6, 6, 5, 4, 4, 3, 3, 4, 5, 6, 6, 6, 5, 4, 3, 6, 5, 4, 3, 4, 6, 9, 11, 24, 3, 0, 6, 2, 1, 6, 7, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 5, 7, 9, 8, 7, 7, 5, 3, 4, 6, 7, 5, 3, 5, 6, 6, 7, 7, 6, 6, 5, 4, 5, 7, 6, 4, 3, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 5, 6, 7, 6, 5, 5, 4, 5, 5, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 4, 5, 4, 3, 7, 7, 6, 5, 5, 4, 3, 3, 2, 3, 3, 4, 5, 5, 4, 3, 5, 4, 4, 4, 4, 5, 6, 7, 2, 5, 9, 9, 6, 3, 3, 4, 5, 6, 6, 6, 6, 6, 7, 7, 7, 6, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 5, 4, 4, 2, 4, 6, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 5, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 7, 7, 8, 8, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 5, 5, 2, 3, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 4, 5, 5, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 5, 4, 8, 7, 6, 6, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 6, 8, 9, 7, 6, 5, 4, 4, 4, 5, 5, 2, 3, 5, 6, 7, 7, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 3, 6, 8, 8, 6, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 9, 8, 6, 4, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 7, 7, 0, 8, 11, 4, 2, 7, 9, 6, 5, 2, 10, 0, 12, 2, 9, 2, 3, 3, 3, 4, 5, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 6, 4, 4, 5, 7, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 4, 4, 7, 6, 4, 6, 11, 12, 9, 6, 4, 4, 5, 6, 5, 7, 7, 6, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 7, 9, 7, 3, 2, 4, 6, 5, 4, 4, 4, 4, 5, 6, 7, 3, 3, 3, 4, 4, 4, 5, 5, 7, 6, 5, 4, 3, 4, 5, 6, 2, 2, 3, 4, 6, 7, 8, 8, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 4, 3, 3, 4, 5, 5, 6, 6, 7, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 6, 6, 6, 4, 3, 2, 2, 3, 4, 5, 5, 5, 3, 3, 0, 3, 13, 8, 0, 3, 10, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 7, 8, 7, 6, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 4, 5, 5, 4, 3, 7, 7, 6, 5, 5, 4, 3, 3, 5, 3, 2, 4, 7, 9, 6, 3, 5, 4, 4, 4, 4, 5, 6, 7, 3, 5, 8, 8, 6, 4, 3, 3, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 6, 5, 5, 4, 3, 3, 5, 4, 4, 3, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 6, 5, 5, 2, 4, 6, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 7, 7, 7, 8, 8, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 3, 4, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 4, 4, 8, 7, 6, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 4, 3, 4, 6, 8, 10, 6, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 9, 9, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 8, 7, 5, 4, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 6, 6, 5, 18, 21, 8, 2, 8, 10, 3, 6, 0, 11, 0, 9, 2, 14, 0, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 5, 5, 5, 7, 9, 4, 4, 3, 3, 3, 3, 4, 4, 3, 4, 5, 7, 7, 5, 4, 3, 3, 3, 5, 8, 6, 3, 7, 13, 15, 11, 6, 4, 4, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 1, 3, 4, 4, 2, 1, 2, 4, 5, 4, 4, 4, 4, 5, 6, 7, 3, 3, 3, 4, 4, 4, 4, 4, 6, 5, 3, 2, 2, 3, 5, 6, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 6, 6, 5, 4, 3, 3, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 4, 6, 7, 5, 5, 6, 6, 7, 7, 7, 8, 7, 7, 7, 6, 5, 4, 3, 2, 0, 1, 3, 5, 6, 5, 4, 3, 8, 8, 10, 5, 0, 10, 14, 0, 2, 3, 3, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 6, 6, 4, 4, 5, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 7, 7, 8, 8, 6, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 3, 1, 4, 9, 11, 8, 3, 5, 4, 4, 4, 4, 5, 6, 7, 4, 5, 7, 7, 6, 4, 4, 3, 7, 7, 7, 6, 6, 5, 5, 4, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 7, 5, 4, 3, 3, 4, 5, 7, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 5, 5, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 4, 4, 2, 4, 6, 6, 4, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 3, 4, 5, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 4, 3, 3, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 6, 7, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 5, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 10, 8, 6, 4, 3, 4, 6, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 1, 2, 5, 9, 11, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 9, 9, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 4, 5, 5, 5, 19, 22, 9, 3, 8, 9, 2, 8, 0, 10, 2, 5, 2, 14, 0, 8, 7, 6, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 5, 5, 5, 7, 9, 5, 4, 4, 3, 3, 4, 4, 5, 3, 5, 6, 7, 7, 6, 5, 3, 3, 3, 5, 8, 6, 3, 7, 13, 14, 10, 6, 3, 4, 6, 7, 7, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 5, 5, 6, 7, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 5, 6, 4, 4, 5, 6, 6, 7, 8, 8, 8, 7, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 8, 0, 0, 4, 3, 9, 13, 6, 2, 3, 3, 4, 4, 5, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 2, 4, 6, 6, 4, 4, 6, 8, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 10, 8, 7, 7, 8, 8, 6, 4, 6, 6, 5, 5, 5, 5, 4, 4, 8, 4, 2, 5, 10, 12, 8, 3, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 6, 5, 4, 3, 6, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 4, 5, 6, 7, 6, 5, 3, 3, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 3, 3, 2, 1, 2, 4, 6, 6, 4, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 4, 3, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 6, 7, 7, 8, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 4, 4, 5, 6, 7, 8, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 9, 8, 6, 4, 4, 4, 4, 5, 3, 4, 5, 6, 6, 6, 5, 5, 6, 5, 3, 1, 2, 5, 8, 10, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 3, 6, 8, 8, 6, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 3, 4, 4, 4, 0, 9, 12, 6, 3, 7, 7, 3, 9, 0, 10, 20, 3, 4, 10, 2, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 5, 5, 5, 7, 9, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 6, 4, 4, 7, 6, 4, 6, 11, 11, 8, 5, 4, 5, 6, 7, 7, 5, 4, 3, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 5, 4, 4, 1, 3, 4, 5, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 6, 6, 7, 8, 8, 7, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 5, 5, 2, 2, 2, 3, 4, 4, 5, 5, 8, 7, 6, 4, 4, 4, 4, 4, 10, 9, 6, 4, 3, 3, 3, 4, 5, 0, 7, 16, 7, 0, 5, 9, 3, 3, 4, 4, 4, 4, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 4, 5, 6, 5, 3, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 5, 5, 5, 5, 4, 4, 2, 4, 5, 5, 5, 5, 6, 8, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 5, 5, 8, 8, 8, 8, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 4, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 4, 6, 8, 9, 6, 3, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 4, 4, 6, 6, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 6, 6, 7, 7, 6, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 7, 8, 5, 4, 3, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 2, 1, 2, 4, 6, 6, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 4, 5, 6, 7, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 5, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 3, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 6, 5, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 4, 5, 6, 8, 9, 11, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 1, 4, 6, 7, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 3, 3, 3, 4, 1, 3, 5, 6, 6, 5, 3, 2, 9, 1, 11, 45, 6, 9, 4, 4, 5, 5, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 5, 5, 5, 6, 8, 7, 7, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 6, 6, 7, 9, 4, 3, 6, 7, 6, 5, 8, 7, 5, 3, 4, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 7, 8, 9, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 2, 1, 1, 2, 2, 1, 1, 5, 4, 4, 4, 4, 5, 6, 7, 8, 7, 7, 7, 6, 6, 5, 5, 3, 3, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 4, 5, 6, 7, 8, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 3, 2, 3, 3, 3, 3, 3, 3, 4, 7, 6, 5, 4, 4, 4, 5, 6, 8, 7, 6, 5, 4, 3, 3, 3, 12, 6, 13, 16, 5, 0, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 4, 3, 3, 5, 7, 6, 4, 3, 5, 7, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 5, 5, 5, 5, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 5, 4, 3, 4, 5, 5, 8, 8, 9, 8, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 4, 3, 5, 4, 4, 4, 4, 5, 6, 7, 8, 6, 3, 4, 5, 6, 5, 3, 3, 3, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 7, 6, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 4, 5, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 3, 4, 5, 6, 7, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 7, 8, 5, 4, 2, 2, 3, 5, 8, 10, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 6, 5, 4, 2, 4, 6, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 4, 5, 7, 8, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 6, 6, 6, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 10, 9, 7, 6, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 3, 3, 3, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 4, 3, 2, 2, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 5, 4, 4, 5, 6, 9, 11, 13, 8, 7, 6, 5, 5, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 1, 2, 3, 4, 5, 5, 5, 5, 2, 3, 5, 6, 7, 6, 6, 5, 2, 4, 7, 9, 9, 6, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 3, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 0, 2, 5, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 6, 5, 5, 5, 6, 6, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 3, 3, 3, 3, 3, 8, 4, 4, 9, 9, 4, 0, 0, 8, 3, 14, 63, 10, 14, 0, 5, 9, 8, 7, 5, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 6, 4, 4, 5, 7, 8, 8, 7, 6, 6, 7, 8, 8, 8, 7, 5, 4, 4, 5, 7, 8, 11, 5, 2, 5, 8, 7, 5, 5, 4, 3, 2, 4, 6, 7, 7, 6, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 9, 10, 9, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 5, 5, 6, 6, 4, 3, 5, 4, 4, 4, 4, 5, 6, 7, 9, 8, 8, 7, 7, 6, 6, 6, 5, 4, 4, 4, 4, 5, 7, 8, 2, 3, 3, 4, 6, 7, 7, 8, 3, 3, 4, 5, 6, 6, 6, 6, 1, 2, 3, 4, 4, 3, 2, 1, 3, 4, 6, 7, 8, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 4, 5, 6, 7, 1, 2, 4, 5, 6, 6, 5, 5, 14, 3, 0, 0, 0, 9, 13, 3, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 3, 3, 5, 5, 4, 2, 3, 5, 7, 6, 4, 3, 5, 7, 3, 4, 4, 5, 5, 4, 4, 3, 1, 3, 5, 5, 5, 5, 7, 9, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 5, 4, 3, 4, 4, 5, 9, 9, 9, 8, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 4, 2, 2, 2, 5, 4, 4, 4, 4, 5, 6, 7, 9, 6, 3, 3, 5, 6, 5, 3, 3, 4, 4, 5, 5, 6, 6, 7, 5, 6, 7, 8, 7, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 3, 4, 5, 6, 7, 4, 5, 7, 8, 8, 7, 5, 4, 3, 5, 5, 1, 2, 5, 6, 3, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 2, 5, 8, 7, 4, 3, 4, 6, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 7, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 1, 3, 7, 9, 9, 7, 3, 1, 7, 8, 8, 9, 9, 8, 8, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 6, 5, 4, 6, 6, 6, 6, 5, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 6, 6, 6, 6, 6, 15, 0, 18, 0, 8, 11, 0, 5, 5, 5, 5, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 5, 7, 2, 3, 3, 4, 4, 5, 5, 6, 8, 8, 7, 6, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 8, 8, 7, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 7, 4, 5, 5, 6, 6, 7, 7, 8, 5, 5, 4, 4, 5, 7, 9, 10, 4, 6, 7, 6, 4, 3, 4, 5, 1, 3, 5, 4, 3, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 4, 2, 2, 5, 6, 3, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 2, 2, 4, 6, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 10, 0, 15, 0, 11, 0, 27, 231, 40, 8, 3, 13, 4, 0, 6, 4, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 3, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 6, 6, 5, 5, 5, 6, 7, 7, 5, 6, 7, 6, 4, 4, 5, 7, 4, 5, 6, 8, 8, 7, 6, 5, 4, 5, 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6, 6, 6, 7, 7, 7, 6, 5, 4, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 3, 10, 0, 7, 8, 2, 11, 9, 13, 4, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 4, 5, 3, 3, 4, 4, 4, 4, 5, 5, 7, 7, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 7, 7, 6, 5, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 6, 6, 5, 5, 6, 6, 6, 6, 6, 7, 4, 4, 4, 5, 6, 7, 8, 9, 5, 6, 6, 5, 4, 4, 6, 8, 2, 3, 5, 5, 4, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 9, 6, 6, 8, 7, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 3, 5, 7, 7, 4, 1, 3, 4, 4, 5, 5, 4, 4, 3, 9, 0, 13, 1, 16, 22, 3, 70, 27, 9, 4, 9, 5, 2, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 3, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 3, 3, 3, 4, 6, 8, 10, 11, 12, 9, 5, 2, 2, 5, 8, 10, 6, 6, 6, 7, 7, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 6, 7, 6, 5, 3, 2, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 7, 9, 8, 5, 3, 5, 5, 5, 4, 4, 3, 3, 3, 3, 10, 11, 6, 3, 6, 8, 8, 7, 6, 4, 4, 6, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 7, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 2, 3, 4, 4, 3, 4, 6, 8, 23, 9, 0, 0, 21, 4, 0, 14, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 3, 4, 5, 5, 4, 8, 2, 0, 18, 0, 19, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 3, 3, 4, 6, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 5, 5, 5, 4, 8, 6, 4, 4, 5, 5, 3, 1, 3, 1, 4, 7, 17, 0, 6, 2, 6, 6, 5, 5, 6, 7, 8, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 7, 12, 13, 9, 5, 4, 5, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 7, 4, 2, 5, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 6, 5, 4, 5, 7, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 6, 7, 8, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 4, 3, 3, 4, 5, 6, 4, 3, 3, 4, 6, 8, 7, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 9, 8, 5, 5, 8, 9, 6, 5, 5, 5, 5, 4, 4, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 3, 5, 7, 7, 5, 4, 4, 5, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 9, 9, 10, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 7, 6, 4, 3, 2, 1, 5, 14, 19, 20, 4, 14, 12, 1, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 2, 2, 2, 3, 5, 5, 4, 4, 4, 4, 3, 3, 6, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 5, 4, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 3, 4, 5, 6, 7, 7, 7, 7, 6, 6, 6, 5, 4, 5, 9, 12, 2, 4, 5, 5, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 7, 5, 5, 7, 5, 1, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 6, 10, 12, 10, 4, 0, 4, 4, 5, 5, 5, 5, 4, 4, 7, 0, 15, 8, 0, 15, 8, 0, 2, 6, 1, 0, 6, 6, 5, 10, 4, 5, 6, 7, 7, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 8, 3, 3, 3, 4, 6, 7, 9, 10, 8, 6, 4, 6, 8, 9, 6, 3, 8, 7, 6, 5, 5, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 7, 7, 7, 6, 6, 4, 4, 3, 3, 4, 5, 6, 6, 4, 4, 3, 4, 5, 6, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 5, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 7, 5, 4, 5, 7, 7, 6, 4, 5, 5, 5, 5, 4, 4, 4, 4, 0, 5, 10, 8, 6, 6, 7, 6, 7, 6, 4, 4, 6, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 6, 7, 8, 9, 9, 8, 7, 7, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 2, 3, 4, 4, 3, 4, 6, 8, 0, 14, 20, 31, 0, 15, 15, 9, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 1, 17, 13, 1, 27, 67, 22, 0, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 3, 2, 2, 5, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 7, 7, 7, 7, 6, 12, 9, 6, 4, 4, 4, 3, 2, 6, 0, 14, 5, 2, 9, 115, 27, 5, 5, 4, 4, 4, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 4, 5, 5, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 3, 4, 4, 4, 4, 7, 7, 6, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 8, 9, 2, 0, 1, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 5, 4, 3, 4, 6, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 5, 3, 3, 5, 7, 8, 9, 7, 4, 4, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 16, 17, 15, 9, 7, 8, 7, 3, 6, 6, 5, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 6, 6, 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6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 7, 6, 6, 5, 5, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 4, 4, 5, 5, 6, 6, 5, 4, 4, 6, 8, 6, 7, 8, 7, 5, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 6, 5, 6, 10, 10, 8, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 1, 1, 3, 5, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 0, 10, 13, 3, 1, 5, 6, 16, 5, 1, 4, 3, 0, 3, 9, 6, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 4, 4, 4, 4, 5, 6, 3, 3, 3, 3, 4, 5, 6, 7, 0, 0, 6, 11, 13, 11, 6, 2, 4, 4, 5, 5, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 6, 5, 5, 4, 3, 6, 5, 5, 5, 5, 6, 7, 8, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 4, 3, 4, 5, 7, 8, 5, 4, 4, 3, 3, 4, 4, 5, 6, 4, 2, 3, 4, 5, 5, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 4, 4, 6, 4, 4, 11, 20, 7, 6, 4, 4, 6, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 8, 8, 7, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 6, 6, 3, 5, 6, 5, 5, 5, 8, 10, 7, 6, 7, 15, 255, 44, 0, 12, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 25, 5, 0, 0, 26, 4, 23, 13, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 7, 6, 5, 6, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 4, 4, 4, 5, 5, 4, 3, 4, 5, 6, 5, 4, 10, 4, 15, 4, 0, 14, 29, 7, 7, 6, 5, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 5, 5, 6, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 2, 3, 3, 4, 5, 6, 6, 7, 5, 5, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 9, 15, 12, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 7, 6, 5, 4, 5, 7, 18, 12, 5, 3, 5, 6, 5, 3, 8, 8, 7, 6, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 7, 7, 6, 5, 4, 3, 1, 1, 2, 5, 6, 6, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 4, 4, 7, 8, 5, 7, 7, 7, 6, 6, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 4, 3, 4, 7, 8, 5, 2, 4, 4, 4, 4, 4, 5, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 8, 9, 9, 8, 6, 5, 4, 4, 5, 5, 5, 4, 3, 2, 6, 6, 6, 6, 5, 4, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 2, 3, 5, 7, 9, 21, 15, 47, 22, 10, 0, 2, 9, 6, 6, 4, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 4, 3, 7, 13, 14, 11, 6, 2, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 5, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 8, 7, 7, 6, 6, 6, 2, 3, 3, 4, 4, 5, 5, 6, 6, 5, 3, 2, 2, 3, 4, 5, 4, 6, 7, 6, 4, 3, 4, 5, 6, 8, 8, 7, 5, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 8, 11, 10, 10, 11, 8, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 5, 7, 8, 7, 5, 5, 6, 6, 7, 7, 6, 6, 5, 13, 0, 7, 14, 4, 4, 0, 6, 10, 0, 5, 11, 0, 1, 8, 0, 2, 3, 5, 6, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 4, 3, 3, 3, 4, 4, 7, 6, 5, 4, 3, 2, 2, 2, 9, 8, 6, 3, 1, 2, 6, 10, 2, 3, 4, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 7, 7, 7, 5, 4, 4, 6, 6, 5, 5, 5, 6, 7, 8, 4, 4, 4, 4, 5, 6, 7, 8, 3, 4, 6, 7, 7, 6, 4, 3, 5, 4, 4, 3, 4, 5, 7, 8, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 3, 3, 5, 5, 4, 3, 5, 5, 5, 6, 6, 7, 7, 7, 8, 5, 5, 7, 4, 0, 5, 14, 7, 6, 4, 4, 6, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 4, 5, 6, 6, 5, 6, 8, 10, 3, 17, 5, 19, 50, 9, 22, 2, 7, 6, 6, 5, 5, 4, 4, 3, 4, 5, 7, 8, 8, 7, 5, 4, 2, 2, 14, 7, 0, 3, 3, 0, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 7, 9, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 5, 2, 1, 1, 3, 6, 7, 6, 4, 1, 8, 4, 4, 22, 0, 0, 0, 7, 7, 6, 5, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 12, 6, 0, 0, 4, 7, 6, 3, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 4, 5, 6, 7, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 5, 2, 3, 8, 10, 8, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 7, 5, 5, 6, 7, 8, 4, 0, 1, 6, 9, 7, 4, 5, 4, 3, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 8, 10, 10, 8, 6, 5, 5, 4, 4, 5, 7, 7, 5, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 1, 3, 5, 7, 8, 7, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 7, 6, 6, 5, 5, 4, 4, 3, 12, 24, 6, 4, 8, 4, 12, 7, 5, 6, 6, 6, 6, 5, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 3, 5, 6, 6, 4, 4, 5, 7, 4, 4, 4, 5, 5, 6, 6, 6, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 0, 2, 5, 5, 3, 2, 2, 3, 7, 4, 0, 3, 12, 6, 0, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 3, 3, 3, 3, 12, 9, 5, 2, 2, 3, 6, 9, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 4, 3, 3, 5, 8, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 3, 2, 3, 5, 7, 9, 10, 11, 12, 9, 4, 2, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 3, 1, 0, 1, 33, 18, 31, 25, 0, 9, 12, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 1, 1, 8, 17, 21, 14, 7, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 7, 8, 1, 1, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 7, 5, 3, 1, 2, 5, 8, 10, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 4, 3, 2, 1, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 3, 2, 5, 4, 4, 3, 3, 4, 4, 5, 1, 3, 6, 8, 9, 9, 7, 6, 6, 3, 3, 4, 2, 0, 3, 9, 6, 17, 6, 1, 6, 10, 4, 15, 4, 2, 2, 3, 5, 6, 6, 4, 2, 3, 3, 4, 4, 3, 3, 2, 3, 4, 4, 4, 2, 3, 5, 7, 3, 3, 4, 5, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 8, 8, 8, 8, 7, 6, 3, 4, 5, 6, 6, 6, 6, 5, 2, 3, 4, 5, 5, 5, 3, 2, 7, 6, 6, 5, 5, 6, 6, 7, 4, 9, 10, 5, 0, 2, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 4, 3, 2, 3, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 7, 7, 5, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 4, 4, 3, 3, 5, 7, 11, 6, 6, 7, 0, 13, 0, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 7, 8, 8, 7, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 3, 5, 6, 6, 5, 3, 2, 14, 8, 6, 0, 12, 9, 0, 10, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 5, 5, 5, 6, 6, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 3, 2, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 6, 7, 7, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 0, 17, 5, 0, 18, 9, 0, 13, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 2, 3, 5, 6, 7, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 5, 5, 5, 5, 4, 4, 22, 20, 10, 5, 4, 3, 5, 2, 5, 6, 6, 6, 6, 5, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 4, 6, 7, 6, 4, 3, 4, 6, 5, 5, 5, 6, 6, 7, 7, 7, 8, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 3, 3, 4, 8, 11, 10, 12, 14, 8, 0, 0, 5, 14, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 3, 4, 4, 9, 8, 5, 3, 3, 4, 7, 8, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 4, 3, 3, 5, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 3, 4, 5, 7, 8, 8, 9, 8, 5, 1, 0, 0, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 3, 8, 1, 53, 224, 36, 14, 8, 0, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 9, 5, 3, 7, 12, 12, 7, 1, 2, 2, 4, 4, 4, 4, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 4, 5, 5, 5, 5, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 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5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 7, 8, 8, 9, 9, 8, 8, 7, 3, 4, 5, 4, 3, 3, 5, 7, 26, 0, 37, 15, 1, 18, 3, 0, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 0, 11, 0, 3, 13, 11, 0, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 6, 6, 6, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 3, 3, 3, 3, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 12, 9, 6, 11, 5, 17, 13, 2, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 18, 2, 5, 3, 0, 6, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 6, 6, 6, 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4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 10, 6, 0, 5, 8, 4, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 6, 4, 2, 2, 3, 4, 3, 3, 4, 6, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 9, 10, 8, 4, 2, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 1, 3, 4, 4, 4, 4, 5, 7, 1, 3, 5, 6, 7, 7, 6, 5, 7, 6, 4, 3, 3, 4, 6, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 0, 5, 9, 6, 9, 17, 15, 5, 3, 3, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 8, 5, 4, 5, 8, 9, 7, 5, 2, 3, 5, 6, 6, 5, 3, 2, 7, 6, 5, 3, 3, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 7, 5, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 3, 3, 4, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 2, 2, 3, 4, 6, 7, 8, 8, 7, 11, 13, 11, 5, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 4, 6, 6, 2, 3, 5, 6, 7, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 6, 8, 9, 9, 7, 4, 2, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 7, 5, 3, 3, 4, 2, 6, 7, 5, 5, 7, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 4, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 6, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 2, 4, 3, 3, 3, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 5, 5, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 3, 5, 8, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 4, 2, 33, 6, 0, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 3, 3, 3, 4, 5, 6, 7, 3, 3, 6, 7, 4, 3, 6, 2, 4, 11, 9, 3, 10, 15, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 14, 4, 5, 0, 5, 7, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 12, 9, 5, 4, 5, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 5, 4, 5, 6, 7, 6, 5, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 6, 6, 5, 4, 3, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 5, 5, 6, 3, 14, 9, 12, 1, 5, 6, 7, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 6, 4, 2, 3, 3, 4, 3, 3, 4, 6, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 9, 7, 4, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 2, 4, 5, 5, 4, 3, 5, 6, 3, 4, 5, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 9, 6, 3, 9, 28, 41, 28, 5, 5, 5, 6, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 2, 1, 2, 4, 5, 3, 1, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 5, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 3, 3, 3, 4, 4, 5, 6, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 10, 12, 10, 5, 2, 3, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 6, 3, 4, 5, 6, 7, 6, 5, 5, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 5, 3, 3, 4, 7, 10, 10, 6, 5, 7, 6, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 9, 8, 7, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 3, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 3, 2, 4, 4, 4, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 4, 4, 4, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 7, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 6, 5, 0, 13, 0, 2, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 3, 3, 4, 5, 6, 6, 7, 3, 2, 5, 7, 4, 3, 4, 0, 1, 8, 6, 0, 8, 12, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 10, 21, 3, 17, 16, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 13, 9, 5, 3, 4, 6, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 4, 5, 9, 7, 5, 4, 6, 7, 7, 7, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 3, 3, 4, 5, 5, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 0, 9, 0, 7, 0, 21, 7, 1, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 6, 4, 3, 3, 4, 5, 4, 3, 4, 6, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 6, 5, 4, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 6, 5, 3, 3, 3, 5, 5, 5, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 6, 5, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 8, 3, 0, 7, 28, 39, 24, 0, 7, 7, 8, 8, 8, 8, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 7, 5, 4, 5, 6, 7, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 2, 3, 5, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 7, 5, 4, 4, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 3, 4, 5, 5, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 8, 10, 9, 6, 4, 5, 7, 3, 3, 3, 3, 3, 3, 3, 3, 7, 6, 6, 5, 5, 5, 5, 6, 3, 4, 5, 6, 6, 6, 6, 5, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 9, 8, 6, 5, 4, 5, 6, 7, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 5, 3, 4, 5, 7, 10, 9, 6, 6, 10, 10, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 9, 7, 6, 4, 4, 4, 5, 6, 5, 4, 4, 4, 4, 5, 6, 7, 6, 5, 4, 3, 3, 4, 5, 6, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 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5, 5, 7, 5, 3, 1, 2, 4, 7, 9, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 2, 4, 6, 5, 5, 4, 6, 8, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 6, 5, 5, 6, 8, 5, 6, 6, 7, 7, 6, 6, 5, 6, 5, 5, 4, 4, 3, 3, 2, 6, 6, 7, 9, 10, 9, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 7, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 9, 9, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 2, 2, 3, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 13, 7, 3, 8, 5, 2, 9, 5, 6, 7, 6, 4, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 6, 7, 8, 9, 9, 8, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 3, 4, 6, 7, 6, 5, 2, 3, 3, 4, 4, 5, 5, 6, 4, 5, 6, 7, 6, 5, 3, 2, 4, 5, 7, 8, 10, 10, 10, 10, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 1, 1, 8, 9, 6, 11, 11, 0, 6, 5, 5, 5, 6, 7, 8, 8, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 9, 7, 5, 3, 3, 5, 7, 9, 8, 4, 1, 1, 4, 6, 5, 4, 8, 11, 8, 2, 1, 6, 8, 4, 8, 7, 6, 5, 4, 3, 4, 4, 7, 6, 5, 5, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 5, 7, 9, 10, 9, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 2, 3, 3, 4, 4, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 8, 6, 4, 4, 6, 7, 7, 6, 6, 6, 5, 4, 4, 4, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 8, 10, 12, 11, 8, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 2, 2, 4, 7, 11, 14, 5, 5, 5, 5, 5, 7, 11, 14, 3, 4, 5, 6, 5, 4, 2, 1, 8, 8, 8, 7, 6, 5, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 6, 6, 6, 6, 6, 5, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 8, 0, 11, 7, 11, 96, 35, 8, 7, 5, 4, 4, 5, 7, 9, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 4, 4, 5, 3, 6, 8, 7, 5, 4, 7, 9, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 8, 8, 7, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 2, 3, 5, 6, 7, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 1, 2, 4, 5, 5, 4, 2, 1, 4, 5, 7, 8, 8, 7, 5, 4, 3, 4, 4, 4, 3, 3, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 6, 5, 4, 3, 4, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 6, 6, 6, 7, 9, 5, 4, 4, 5, 7, 8, 8, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 7, 7, 3, 4, 8, 6, 0, 0, 13, 0, 11, 15, 0, 6, 3, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 3, 1, 1, 3, 5, 6, 16, 20, 14, 2, 0, 8, 10, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 5, 7, 8, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 1, 3, 4, 4, 3, 3, 4, 6, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 5, 4, 4, 5, 7, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 6, 8, 8, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 2, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 8, 9, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 4, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 12, 8, 2, 13, 21, 11, 2, 5, 6, 7, 6, 4, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 6, 7, 8, 8, 7, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 4, 3, 4, 6, 7, 6, 5, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 7, 6, 5, 4, 3, 4, 5, 6, 7, 8, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 4, 3, 3, 3, 12, 8, 6, 4, 0, 0, 3, 11, 3, 3, 3, 3, 3, 4, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 9, 7, 5, 3, 3, 5, 7, 9, 7, 4, 2, 2, 4, 6, 5, 4, 11, 13, 10, 3, 1, 4, 4, 0, 7, 7, 6, 6, 5, 5, 4, 4, 6, 4, 3, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 5, 7, 9, 8, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 4, 3, 3, 3, 3, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 5, 5, 7, 7, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 6, 6, 7, 6, 8, 10, 9, 7, 5, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 4, 6, 9, 10, 3, 6, 8, 7, 2, 0, 0, 0, 5, 5, 5, 5, 5, 4, 3, 3, 7, 7, 7, 7, 6, 5, 3, 2, 5, 6, 6, 6, 6, 5, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 8, 4, 10, 3, 0, 46, 0, 7, 6, 4, 3, 3, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 4, 5, 5, 3, 5, 7, 6, 5, 4, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 2, 3, 5, 6, 7, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 3, 4, 4, 4, 3, 3, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 5, 4, 4, 4, 5, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 5, 5, 6, 8, 8, 6, 5, 5, 7, 7, 6, 4, 4, 4, 4, 5, 5, 6, 6, 6, 1, 5, 5, 2, 3, 7, 7, 2, 17, 23, 0, 0, 6, 8, 17, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 6, 13, 17, 12, 2, 0, 8, 10, 4, 8, 7, 6, 5, 5, 6, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 2, 4, 5, 5, 4, 3, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 5, 3, 3, 4, 6, 3, 3, 4, 5, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 5, 5, 4, 3, 3, 3, 3, 4, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 4, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 19, 15, 8, 25, 38, 22, 0, 5, 6, 7, 6, 4, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 4, 4, 4, 4, 3, 3, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 6, 3, 0, 4, 9, 1, 0, 10, 4, 4, 3, 3, 3, 4, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 8, 7, 5, 3, 3, 5, 7, 8, 6, 5, 3, 3, 4, 5, 5, 4, 9, 11, 9, 5, 3, 4, 3, 0, 6, 6, 6, 7, 6, 6, 5, 4, 5, 4, 2, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 10, 10, 9, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 7, 7, 7, 8, 8, 8, 9, 9, 4, 3, 3, 3, 3, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 7, 8, 8, 6, 3, 6, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 3, 5, 7, 7, 5, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 0, 4, 8, 8, 7, 8, 14, 19, 7, 7, 6, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 2, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 8, 7, 0, 17, 0, 6, 5, 4, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 2, 4, 5, 5, 4, 4, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 5, 5, 5, 5, 4, 4, 2, 3, 5, 6, 7, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 4, 5, 6, 7, 7, 6, 5, 4, 3, 4, 4, 4, 3, 3, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 5, 4, 5, 6, 9, 8, 6, 6, 6, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 2, 5, 5, 2, 2, 5, 5, 2, 0, 0, 0, 16, 11, 0, 3, 14, 5, 5, 6, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 8, 12, 10, 3, 2, 8, 9, 4, 7, 6, 5, 5, 5, 5, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 7, 6, 5, 5, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 4, 3, 2, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 2, 3, 3, 4, 4, 5, 5, 6, 3, 4, 4, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 10, 20, 16, 12, 27, 33, 16, 0, 5, 6, 7, 6, 4, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 3, 4, 6, 7, 6, 4, 6, 5, 5, 4, 4, 3, 3, 2, 6, 6, 6, 6, 5, 5, 4, 4, 6, 6, 7, 7, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 5, 5, 6, 9, 7, 0, 1, 16, 13, 2, 4, 7, 6, 6, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 5, 4, 4, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 6, 4, 4, 4, 5, 6, 6, 5, 4, 3, 6, 4, 3, 4, 5, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 10, 12, 14, 14, 11, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 8, 9, 8, 5, 2, 5, 5, 4, 4, 4, 5, 6, 7, 6, 6, 5, 4, 4, 5, 6, 6, 3, 5, 6, 6, 5, 5, 6, 8, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 5, 5, 4, 3, 2, 1, 3, 5, 5, 8, 18, 35, 48, 9, 8, 6, 5, 4, 5, 6, 7, 4, 5, 5, 5, 4, 3, 2, 2, 5, 6, 6, 6, 6, 5, 4, 3, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 1, 4, 1, 10, 10, 11, 21, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 2, 3, 5, 6, 7, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 4, 5, 6, 4, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 4, 3, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 2, 3, 5, 6, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 4, 3, 4, 5, 8, 7, 5, 5, 7, 7, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 5, 3, 3, 4, 4, 22, 9, 0, 6, 8, 7, 9, 2, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 4, 7, 7, 3, 3, 7, 7, 4, 3, 3, 3, 2, 2, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 6, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 7, 7, 6, 5, 4, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 9, 8, 6, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 5, 3, 3, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 2, 3, 3, 4, 4, 5, 5, 6, 3, 4, 6, 5, 3, 3, 6, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 6, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 5, 9, 18, 11, 1, 4, 5, 6, 7, 6, 4, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 4, 6, 5, 5, 4, 4, 3, 3, 2, 6, 6, 5, 5, 4, 4, 4, 4, 8, 8, 8, 8, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 6, 7, 7, 12, 14, 7, 0, 2, 7, 8, 9, 7, 7, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 4, 3, 3, 4, 5, 6, 4, 5, 6, 6, 5, 5, 5, 5, 3, 3, 4, 6, 6, 6, 5, 6, 3, 4, 4, 4, 4, 3, 2, 2, 7, 5, 4, 5, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 9, 12, 14, 13, 10, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 8, 9, 8, 5, 2, 4, 4, 4, 4, 4, 5, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 4, 5, 7, 7, 6, 6, 8, 10, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 6, 6, 4, 2, 1, 7, 7, 5, 1, 1, 8, 21, 31, 9, 8, 6, 5, 4, 5, 6, 7, 4, 4, 5, 5, 5, 4, 3, 2, 5, 6, 6, 6, 6, 5, 4, 3, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 10, 5, 3, 0, 4, 9, 0, 19, 6, 5, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 2, 3, 5, 6, 7, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 3, 4, 5, 4, 5, 5, 5, 5, 5, 5, 4, 3, 4, 4, 4, 3, 3, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 2, 3, 5, 6, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 3, 3, 4, 6, 5, 4, 5, 7, 8, 7, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 7, 7, 6, 5, 8, 12, 2, 7, 16, 2, 0, 16, 18, 0, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 9, 9, 7, 5, 3, 2, 4, 5, 4, 4, 6, 6, 4, 2, 3, 3, 3, 3, 3, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 6, 5, 4, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 6, 5, 3, 3, 3, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 7, 6, 4, 3, 4, 5, 5, 6, 7, 7, 7, 7, 6, 5, 3, 3, 4, 4, 4, 4, 5, 5, 3, 6, 8, 7, 4, 3, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 4, 3, 3, 3, 3, 4, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 7, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 0, 7, 12, 1, 0, 13, 5, 6, 7, 6, 4, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 6, 3, 3, 4, 4, 4, 4, 5, 5, 7, 5, 4, 4, 6, 6, 5, 3, 5, 5, 4, 4, 4, 4, 3, 3, 7, 6, 5, 4, 4, 4, 4, 5, 7, 8, 8, 8, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 6, 7, 0, 0, 9, 11, 0, 0, 9, 7, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 7, 7, 6, 5, 5, 6, 7, 4, 4, 6, 5, 2, 2, 4, 7, 6, 4, 3, 2, 2, 2, 2, 7, 6, 5, 5, 7, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 7, 9, 8, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 7, 8, 8, 6, 3, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 7, 6, 5, 6, 8, 10, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 2, 5, 5, 5, 4, 2, 2, 3, 5, 7, 7, 6, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 3, 6, 3, 9, 0, 7, 6, 6, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 5, 3, 3, 4, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 2, 3, 5, 6, 7, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 2, 2, 2, 2, 3, 3, 5, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 3, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 5, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 5, 3, 3, 4, 5, 5, 4, 3, 5, 7, 9, 8, 7, 4, 4, 4, 5, 5, 6, 6, 6, 1, 2, 5, 8, 8, 8, 14, 21, 66, 11, 7, 17, 7, 2, 1, 10, 7, 7, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 8, 8, 6, 4, 3, 3, 4, 4, 4, 4, 5, 6, 5, 5, 5, 6, 7, 7, 6, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 6, 6, 6, 5, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 5, 5, 4, 2, 1, 2, 3, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 7, 5, 4, 5, 6, 4, 5, 6, 6, 6, 6, 5, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 8, 12, 10, 6, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 2, 4, 4, 3, 3, 4, 5, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 6, 7, 7, 7, 6, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 4, 9, 4, 2, 11, 5, 6, 7, 6, 4, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 4, 4, 6, 6, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 7, 6, 5, 4, 3, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 3, 6, 8, 10, 46, 1, 3, 21, 4, 0, 11, 2, 6, 5, 4, 3, 3, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 6, 8, 8, 6, 4, 5, 6, 8, 3, 2, 5, 4, 1, 2, 7, 12, 10, 6, 3, 2, 2, 3, 4, 6, 5, 4, 4, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 5, 5, 7, 7, 6, 5, 4, 3, 3, 4, 5, 6, 7, 8, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 5, 3, 4, 6, 8, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 3, 3, 3, 5, 7, 7, 4, 1, 5, 5, 5, 5, 5, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 0, 9, 0, 14, 3, 13, 7, 6, 7, 7, 7, 6, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 5, 6, 4, 3, 4, 7, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 5, 5, 5, 7, 7, 4, 4, 5, 5, 5, 5, 6, 6, 2, 3, 5, 6, 7, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 5, 3, 4, 4, 4, 3, 3, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 4, 4, 4, 5, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 2, 4, 5, 5, 3, 3, 4, 6, 7, 5, 4, 5, 7, 8, 7, 5, 4, 4, 4, 5, 5, 6, 6, 6, 2, 2, 5, 8, 7, 6, 12, 22, 180, 40, 0, 6, 16, 8, 0, 10, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 5, 4, 3, 5, 4, 3, 4, 4, 4, 5, 7, 5, 6, 7, 8, 8, 7, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 6, 4, 3, 3, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 9, 9, 8, 6, 5, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 6, 5, 5, 4, 4, 3, 3, 2, 4, 9, 14, 12, 7, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 5, 4, 4, 4, 5, 6, 7, 7, 3, 3, 3, 4, 4, 5, 5, 5, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 4, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 7, 7, 7, 7, 7, 6, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 15, 9, 0, 3, 6, 0, 0, 5, 6, 7, 6, 4, 3, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 8, 6, 4, 5, 5, 6, 4, 2, 2, 3, 3, 4, 4, 5, 5, 6, 8, 7, 5, 4, 3, 4, 5, 6, 3, 3, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 8, 12, 14, 154, 43, 0, 17, 3, 3, 18, 6, 8, 8, 7, 6, 5, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 9, 9, 6, 4, 5, 6, 5, 0, 0, 3, 4, 3, 6, 13, 16, 13, 8, 4, 2, 3, 5, 6, 5, 4, 3, 3, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 3, 3, 5, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 4, 4, 3, 3, 2, 4, 3, 3, 3, 3, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 8, 6, 4, 4, 6, 7, 7, 6, 3, 3, 3, 4, 5, 6, 7, 8, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 3, 2, 2, 4, 7, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 10, 5, 0, 0, 5, 7, 6, 3, 3, 4, 5, 6, 5, 4, 2, 1, 5, 5, 6, 7, 7, 7, 6, 6, 5, 6, 6, 6, 6, 5, 4, 3, 3, 3, 5, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 15, 0, 13, 0, 8, 14, 4, 8, 8, 8, 7, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 6, 7, 6, 6, 5, 7, 5, 3, 5, 8, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 3, 4, 4, 5, 5, 6, 6, 7, 2, 3, 5, 6, 7, 6, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 4, 3, 3, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 6, 5, 4, 3, 4, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 1, 3, 4, 4, 4, 3, 5, 7, 9, 7, 6, 6, 6, 6, 5, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 7, 9, 5, 1, 6, 16, 46, 0, 14, 18, 0, 3, 2, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 7, 5, 3, 4, 4, 4, 5, 8, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 6, 7, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 10, 8, 6, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 6, 5, 3, 2, 3, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 5, 4, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 1, 10, 18, 17, 8, 2, 3, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 3, 5, 5, 3, 4, 4, 4, 4, 4, 4, 5, 2, 3, 5, 6, 7, 6, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 2, 2, 5, 5, 2, 6, 7, 8, 8, 7, 6, 4, 3, 4, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 7, 5, 6, 8, 9, 8, 5, 2, 2, 2, 3, 3, 4, 4, 4, 7, 7, 7, 7, 7, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 5, 5, 9, 9, 5, 6, 9, 3, 4, 5, 6, 6, 6, 6, 5, 3, 3, 2, 3, 7, 11, 16, 19, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 3, 3, 2, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 7, 5, 6, 7, 5, 4, 8, 16, 35, 22, 7, 1, 4, 9, 8, 4, 13, 6, 12, 0, 10, 0, 13, 12, 10, 11, 1, 11, 13, 0, 2, 15, 7, 6, 4, 4, 6, 6, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 5, 6, 7, 7, 8, 9, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 13, 11, 9, 6, 4, 2, 1, 1, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 3, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 3, 3, 2, 7, 6, 6, 5, 5, 4, 3, 3, 0, 21, 32, 20, 4, 1, 3, 2, 8, 7, 5, 3, 4, 5, 7, 9, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 6, 7, 8, 8, 7, 6, 7, 7, 6, 6, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 3, 3, 2, 5, 5, 6, 6, 6, 7, 7, 7, 8, 7, 5, 4, 3, 4, 5, 6, 6, 6, 5, 4, 2, 3, 6, 8, 8, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 0, 12, 10, 3, 8, 4, 0, 4, 6, 3, 1, 1, 3, 5, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 7, 7, 5, 3, 1, 8, 9, 9, 8, 6, 5, 6, 7, 6, 8, 9, 8, 6, 5, 6, 8, 6, 7, 4, 0, 3, 8, 7, 2, 5, 6, 6, 7, 6, 5, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 11, 6, 3, 7, 0, 0, 13, 13, 8, 3, 1, 3, 4, 3, 6, 10, 6, 6, 7, 7, 7, 8, 8, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 4, 2, 1, 2, 2, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 3, 2, 2, 3, 5, 6, 10, 9, 7, 6, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 5, 4, 7, 6, 3, 2, 5, 3, 4, 6, 7, 7, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 5, 3, 2, 5, 8, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 6, 6, 7, 7, 6, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 6, 5, 3, 2, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 2, 6, 10, 9, 5, 2, 1, 2, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 7, 6, 6, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 6, 3, 3, 6, 6, 3, 6, 6, 7, 7, 7, 6, 4, 3, 4, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 5, 4, 5, 7, 8, 6, 4, 2, 2, 2, 3, 3, 4, 4, 4, 6, 6, 6, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 5, 5, 3, 2, 3, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 3, 2, 3, 6, 10, 14, 17, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 4, 5, 7, 5, 3, 7, 14, 23, 15, 6, 3, 6, 9, 7, 4, 0, 5, 14, 23, 13, 5, 1, 8, 15, 21, 18, 0, 0, 14, 16, 6, 7, 6, 4, 4, 6, 6, 4, 3, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 5, 5, 6, 7, 8, 8, 6, 6, 6, 5, 5, 5, 4, 4, 6, 6, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 7, 7, 7, 7, 6, 5, 4, 3, 2, 2, 2, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 8, 20, 24, 14, 5, 6, 8, 4, 7, 6, 5, 4, 5, 5, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 7, 7, 7, 6, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 7, 6, 5, 4, 3, 4, 5, 5, 3, 5, 7, 6, 5, 4, 5, 6, 8, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 9, 9, 0, 0, 20, 29, 9, 8, 5, 3, 2, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 6, 4, 2, 6, 7, 8, 7, 5, 5, 6, 7, 4, 4, 5, 4, 3, 3, 5, 7, 0, 1, 7, 8, 5, 3, 6, 10, 5, 5, 6, 7, 6, 5, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 0, 8, 14, 13, 10, 16, 17, 0, 10, 5, 4, 7, 7, 5, 4, 7, 5, 5, 6, 6, 7, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 15, 14, 9, 5, 5, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 4, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 6, 6, 9, 8, 5, 4, 7, 2, 4, 6, 7, 7, 6, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 7, 6, 5, 3, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 6, 6, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 5, 4, 3, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 3, 1, 0, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 5, 5, 6, 6, 5, 5, 4, 4, 3, 3, 2, 5, 5, 6, 6, 6, 5, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 6, 3, 3, 6, 6, 3, 6, 6, 6, 7, 6, 5, 5, 4, 4, 4, 5, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 4, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 3, 4, 6, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 14, 18, 11, 5, 6, 7, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 3, 3, 4, 7, 10, 13, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 3, 4, 6, 5, 3, 6, 12, 8, 6, 5, 5, 7, 8, 7, 5, 0, 10, 18, 43, 17, 12, 0, 18, 39, 0, 4, 20, 18, 12, 0, 3, 7, 6, 4, 4, 6, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 7, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 9, 8, 7, 6, 5, 5, 5, 5, 6, 7, 7, 7, 7, 8, 8, 8, 4, 3, 3, 3, 3, 4, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 1, 3, 6, 8, 8, 6, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 7, 7, 7, 4, 4, 3, 3, 4, 6, 7, 9, 13, 16, 13, 5, 4, 10, 10, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 7, 7, 7, 6, 5, 4, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 1, 4, 7, 8, 7, 5, 4, 4, 8, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 4, 8, 8, 7, 6, 4, 3, 2, 2, 26, 0, 0, 27, 12, 0, 1, 0, 11, 8, 5, 4, 5, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 8, 8, 7, 5, 4, 3, 5, 6, 6, 4, 4, 5, 7, 4, 4, 4, 2, 1, 3, 6, 9, 15, 7, 5, 8, 8, 2, 4, 10, 5, 5, 6, 6, 6, 5, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 10, 6, 7, 7, 3, 0, 2, 8, 8, 4, 3, 7, 9, 6, 4, 5, 4, 4, 5, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 12, 21, 21, 13, 6, 6, 9, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 3, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 5, 5, 8, 8, 4, 4, 6, 2, 3, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 7, 9, 8, 4, 0, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 4, 3, 3, 6, 6, 5, 5, 5, 5, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 6, 5, 4, 4, 4, 5, 7, 6, 5, 5, 3, 3, 2, 1, 6, 6, 6, 5, 5, 5, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 3, 6, 6, 3, 3, 6, 6, 3, 5, 5, 6, 6, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 8, 24, 29, 17, 7, 10, 9, 2, 3, 4, 5, 6, 6, 6, 6, 5, 6, 5, 3, 3, 3, 5, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 6, 3, 3, 5, 5, 3, 5, 9, 2, 4, 6, 7, 6, 6, 7, 7, 6, 11, 16, 33, 15, 6, 5, 27, 253, 75, 2, 1, 11, 15, 0, 12, 7, 6, 4, 4, 6, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 9, 8, 7, 5, 4, 4, 4, 4, 6, 6, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 6, 7, 8, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 7, 6, 5, 3, 3, 3, 5, 7, 8, 9, 9, 5, 0, 1, 7, 8, 4, 6, 6, 7, 7, 7, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 4, 3, 7, 7, 7, 7, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 2, 5, 7, 7, 6, 4, 4, 5, 8, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 7, 7, 6, 5, 5, 4, 3, 3, 0, 8, 18, 9, 0, 11, 23, 15, 13, 10, 7, 5, 5, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 8, 8, 8, 7, 6, 5, 1, 3, 5, 5, 4, 4, 5, 7, 7, 7, 6, 4, 4, 6, 11, 15, 53, 21, 0, 0, 9, 7, 2, 3, 5, 5, 5, 5, 5, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 10, 0, 0, 2, 12, 16, 8, 18, 8, 2, 0, 4, 7, 6, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 8, 15, 15, 10, 5, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 7, 8, 8, 7, 5, 4, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 3, 6, 6, 2, 1, 3, 2, 3, 4, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 3, 1, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 8, 9, 7, 4, 3, 6, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 3, 3, 4, 4, 7, 6, 5, 5, 3, 3, 2, 1, 6, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 6, 5, 4, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 7, 7, 4, 4, 7, 7, 4, 5, 5, 4, 4, 5, 5, 5, 5, 3, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 7, 6, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 3, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 18, 24, 12, 4, 8, 8, 2, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 4, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 6, 6, 7, 7, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 4, 3, 3, 4, 6, 7, 7, 3, 2, 5, 6, 4, 4, 7, 5, 6, 7, 6, 5, 4, 6, 9, 11, 2, 9, 7, 11, 0, 7, 19, 84, 20, 30, 14, 0, 6, 0, 17, 7, 6, 4, 4, 6, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 4, 4, 3, 3, 8, 7, 5, 4, 3, 2, 2, 3, 6, 6, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 8, 7, 5, 4, 3, 4, 5, 5, 2, 5, 6, 3, 2, 4, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 4, 3, 3, 8, 7, 7, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 5, 5, 4, 4, 5, 6, 6, 4, 3, 3, 5, 8, 8, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 14, 0, 0, 18, 19, 21, 52, 14, 11, 8, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 7, 7, 6, 6, 1, 3, 4, 4, 3, 3, 5, 6, 8, 8, 7, 6, 5, 8, 12, 16, 54, 21, 0, 0, 9, 7, 2, 2, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 2, 7, 14, 0, 10, 22, 9, 24, 19, 9, 2, 3, 5, 5, 5, 7, 3, 3, 3, 3, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 3, 1, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 7, 8, 8, 7, 5, 4, 8, 8, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 1, 3, 7, 7, 3, 2, 4, 3, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 4, 4, 4, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 8, 8, 8, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 5, 6, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 2, 6, 8, 6, 2, 0, 4, 8, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 3, 4, 4, 5, 6, 5, 5, 4, 4, 3, 3, 2, 5, 4, 4, 4, 4, 5, 6, 7, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 4, 3, 3, 4, 7, 7, 4, 4, 7, 7, 4, 4, 4, 4, 3, 4, 5, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 8, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 9, 8, 6, 6, 7, 8, 5, 5, 5, 5, 4, 4, 4, 4, 6, 5, 5, 4, 4, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 0, 7, 13, 7, 4, 8, 10, 7, 3, 4, 5, 6, 6, 6, 6, 5, 7, 6, 5, 4, 4, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 8, 4, 3, 6, 8, 6, 4, 6, 9, 9, 8, 6, 4, 4, 6, 8, 10, 1, 11, 0, 13, 0, 9, 7, 18, 0, 12, 0, 0, 27, 13, 0, 7, 6, 4, 4, 6, 6, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 6, 6, 4, 3, 3, 2, 3, 3, 6, 5, 5, 5, 5, 4, 4, 4, 6, 6, 5, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 5, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 7, 7, 6, 6, 5, 4, 3, 3, 0, 6, 10, 9, 5, 3, 6, 9, 8, 8, 7, 6, 6, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 7, 7, 6, 5, 5, 4, 3, 3, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 7, 5, 4, 6, 8, 6, 6, 6, 5, 5, 4, 4, 4, 7, 6, 6, 5, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 0, 2, 6, 7, 6, 7, 8, 10, 3, 4, 5, 6, 6, 6, 6, 5, 7, 7, 6, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 9, 5, 3, 7, 10, 7, 5, 6, 8, 7, 6, 6, 6, 6, 5, 4, 8, 10, 12, 6, 7, 7, 9, 4, 1, 0, 8, 9, 4, 1, 4, 13, 7, 6, 4, 4, 6, 6, 4, 3, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 6, 5, 5, 4, 4, 4, 5, 5, 7, 7, 6, 6, 6, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 5, 6, 7, 7, 6, 4, 2, 3, 5, 8, 8, 5, 3, 6, 10, 10, 9, 7, 5, 4, 4, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 7, 7, 6, 5, 5, 4, 3, 3, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 3, 3, 2, 7, 6, 5, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 7, 6, 5, 4, 3, 4, 5, 6, 5, 4, 3, 5, 7, 8, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 2, 2, 6, 6, 5, 5, 5, 5, 4, 4, 0, 13, 2, 1, 23, 17, 10, 37, 12, 9, 6, 5, 5, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 3, 4, 5, 4, 5, 5, 4, 3, 3, 5, 7, 0, 3, 9, 9, 4, 1, 4, 7, 5, 5, 4, 3, 4, 5, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 13, 0, 14, 14, 8, 9, 76, 238, 29, 17, 7, 6, 8, 7, 4, 3, 4, 4, 4, 4, 5, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 3, 4, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 5, 4, 3, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 8, 13, 13, 9, 7, 8, 7, 7, 6, 5, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 3, 3, 11, 21, 22, 13, 3, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 6, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 7, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 5, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 5, 7, 8, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 6, 5, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 3, 0, 3, 7, 9, 5, 0, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 7, 8, 9, 9, 3, 4, 4, 4, 4, 4, 4, 5, 3, 2, 2, 3, 4, 7, 9, 11, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 3, 4, 6, 7, 7, 7, 6, 6, 4, 4, 3, 3, 5, 8, 8, 5, 5, 8, 8, 5, 4, 3, 2, 2, 3, 4, 6, 7, 2, 3, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 7, 6, 4, 3, 4, 7, 6, 6, 6, 5, 5, 4, 4, 4, 8, 7, 7, 6, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 1, 1, 4, 3, 4, 5, 6, 6, 6, 6, 5, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 6, 5, 5, 4, 7, 6, 6, 5, 5, 4, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 10, 5, 4, 8, 11, 8, 5, 5, 5, 4, 4, 6, 8, 7, 4, 1, 4, 17, 7, 7, 0, 10, 4, 4, 6, 13, 1, 3, 9, 3, 5, 4, 7, 6, 4, 4, 6, 6, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 5, 5, 5, 6, 7, 7, 8, 8, 8, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 6, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 4, 4, 4, 5, 5, 6, 6, 6, 3, 5, 7, 9, 9, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 7, 7, 6, 6, 5, 5, 4, 0, 2, 5, 8, 9, 7, 5, 4, 6, 3, 2, 3, 3, 3, 5, 7, 11, 9, 6, 4, 3, 4, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 6, 7, 7, 6, 4, 3, 7, 7, 6, 6, 4, 4, 3, 3, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 3, 3, 2, 6, 5, 4, 4, 5, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 4, 4, 3, 3, 2, 5, 5, 6, 6, 6, 7, 7, 7, 4, 5, 6, 7, 6, 5, 3, 2, 2, 4, 7, 8, 6, 5, 4, 4, 8, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 2, 2, 2, 8, 7, 7, 6, 4, 3, 3, 2, 9, 9, 3, 1, 5, 5, 3, 4, 11, 8, 5, 4, 5, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 4, 3, 3, 5, 4, 6, 7, 6, 4, 3, 4, 5, 9, 9, 5, 1, 2, 6, 5, 0, 5, 4, 4, 3, 4, 5, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 3, 9, 20, 0, 8, 22, 0, 38, 18, 8, 2, 4, 9, 8, 4, 2, 4, 4, 5, 5, 5, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 6, 5, 3, 2, 3, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 6, 7, 6, 5, 4, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 6, 11, 12, 8, 5, 7, 9, 8, 6, 5, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 10, 2, 1, 14, 32, 34, 17, 0, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 7, 6, 6, 7, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 6, 5, 4, 0, 6, 9, 5, 4, 6, 9, 9, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 6, 7, 7, 7, 7, 7, 4, 6, 8, 8, 6, 4, 3, 3, 12, 6, 1, 5, 13, 16, 10, 3, 5, 5, 5, 4, 4, 3, 3, 3, 3, 5, 6, 8, 7, 5, 3, 2, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 2, 3, 5, 6, 6, 6, 6, 7, 9, 4, 4, 5, 8, 11, 11, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 8, 8, 6, 4, 2, 2, 4, 5, 6, 6, 7, 7, 6, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 8, 8, 5, 5, 4, 3, 3, 3, 4, 4, 3, 6, 1, 2, 11, 9, 7, 15, 11, 6, 1, 1, 5, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 4, 2, 1, 2, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 3, 2, 2, 3, 5, 5, 4, 4, 4, 5, 6, 7, 8, 9, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 4, 6, 5, 5, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 6, 5, 4, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 7, 11, 12, 10, 7, 4, 3, 8, 7, 6, 5, 6, 7, 8, 9, 5, 7, 6, 2, 3, 5, 4, 0, 2, 3, 3, 2, 3, 6, 7, 6, 3, 4, 6, 7, 7, 6, 4, 3, 3, 2, 3, 6, 10, 11, 8, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 0, 8, 16, 4, 0, 2, 9, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 5, 7, 8, 8, 7, 5, 4, 5, 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4, 4, 5, 6, 7, 8, 3, 3, 3, 3, 4, 5, 6, 7, 8, 8, 8, 7, 0, 0, 35, 103, 14, 9, 3, 3, 5, 7, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 2, 2, 2, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 3, 4, 5, 6, 6, 6, 5, 6, 7, 8, 9, 10, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 6, 6, 4, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 6, 5, 4, 3, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 9, 10, 7, 5, 3, 3, 8, 7, 6, 5, 5, 6, 7, 8, 2, 4, 4, 3, 4, 9, 9, 5, 2, 3, 4, 3, 4, 5, 6, 5, 4, 4, 6, 6, 6, 6, 4, 4, 5, 4, 3, 5, 8, 9, 8, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 18, 30, 18, 6, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 6, 7, 6, 5, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 5, 3, 2, 3, 4, 5, 4, 2, 4, 4, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 7, 6, 5, 4, 4, 3, 3, 3, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 4, 3, 3, 2, 2, 4, 6, 5, 3, 2, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 6, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 3, 4, 5, 6, 6, 6, 6, 5, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 5, 7, 8, 6, 4, 3, 5, 8, 6, 6, 7, 6, 5, 5, 5, 5, 2, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 8, 8, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 5, 4, 3, 3, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 3, 2, 2, 4, 6, 7, 5, 3, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 11, 11, 6, 3, 4, 4, 2, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 5, 4, 6, 8, 9, 7, 5, 5, 5, 5, 4, 4, 3, 3, 3, 0, 2, 4, 6, 7, 7, 7, 6, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 7, 8, 9, 7, 5, 3, 4, 5, 8, 7, 6, 7, 9, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 5, 6, 6, 4, 4, 5, 6, 4, 6, 7, 6, 4, 3, 4, 6, 5, 5, 6, 6, 6, 6, 5, 5, 7, 7, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 2, 2, 2, 3, 4, 6, 7, 8, 11, 7, 4, 9, 6, 0, 30, 82, 15, 10, 6, 4, 6, 7, 5, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 6, 7, 7, 9, 10, 10, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 3, 5, 6, 6, 4, 4, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 7, 6, 4, 3, 3, 4, 7, 6, 5, 5, 5, 5, 6, 6, 1, 4, 5, 3, 5, 9, 10, 7, 3, 3, 4, 5, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 5, 4, 4, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 0, 16, 28, 17, 5, 4, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 5, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 6, 4, 4, 5, 5, 5, 5, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 8, 8, 6, 4, 3, 2, 3, 4, 5, 5, 5, 4, 4, 7, 6, 5, 4, 4, 4, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 7, 5, 4, 5, 6, 7, 6, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 3, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 5, 4, 4, 4, 2, 5, 7, 7, 6, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 6, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 5, 5, 2, 4, 5, 5, 2, 1, 1, 2, 5, 6, 6, 6, 6, 5, 4, 3, 2, 2, 2, 3, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 4, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 7, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 3, 3, 4, 6, 7, 5, 3, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 7, 9, 11, 12, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 8, 11, 10, 6, 3, 5, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 6, 5, 5, 6, 5, 3, 3, 4, 5, 4, 4, 2, 4, 6, 6, 6, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 7, 5, 4, 5, 6, 5, 4, 4, 5, 8, 10, 10, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 4, 4, 5, 6, 3, 5, 6, 6, 4, 4, 5, 7, 4, 5, 6, 6, 6, 6, 5, 4, 8, 7, 6, 5, 4, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 3, 8, 4, 4, 15, 14, 5, 3, 11, 8, 5, 4, 5, 6, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 6, 8, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 9, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 6, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 5, 3, 3, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 7, 8, 4, 3, 6, 6, 4, 4, 3, 4, 7, 7, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 7, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 0, 8, 13, 3, 0, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 8, 9, 9, 8, 5, 3, 2, 3, 5, 6, 6, 5, 4, 3, 6, 6, 5, 4, 4, 4, 5, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 5, 4, 4, 4, 9, 8, 7, 7, 9, 9, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 3, 5, 7, 9, 8, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 7, 7, 6, 5, 0, 1, 4, 5, 6, 5, 5, 5, 6, 6, 5, 5, 6, 5, 3, 1, 2, 2, 2, 3, 3, 3, 3, 3, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 3, 3, 4, 6, 7, 6, 5, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 10, 9, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 5, 4, 4, 5, 6, 7, 5, 3, 5, 4, 4, 4, 4, 4, 4, 5, 6, 5, 4, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 6, 8, 10, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 6, 9, 8, 5, 4, 7, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 4, 4, 2, 0, 0, 0, 3, 3, 2, 0, 1, 4, 6, 6, 5, 4, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 7, 7, 5, 5, 7, 8, 8, 6, 4, 4, 7, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 3, 5, 6, 6, 4, 4, 5, 7, 4, 4, 5, 6, 6, 5, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 4, 5, 7, 8, 8, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 8, 7, 6, 5, 4, 4, 4, 5, 0, 10, 8, 2, 5, 5, 1, 5, 5, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 10, 10, 8, 6, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 4, 4, 3, 3, 3, 4, 6, 7, 6, 4, 3, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 4, 6, 8, 6, 6, 6, 5, 5, 4, 4, 3, 2, 7, 8, 4, 2, 4, 5, 4, 6, 2, 3, 8, 8, 4, 4, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 4, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 3, 7, 9, 0, 0, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 8, 9, 9, 8, 5, 3, 3, 4, 5, 6, 6, 5, 3, 2, 6, 5, 4, 4, 4, 5, 6, 6, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 4, 4, 3, 3, 8, 6, 5, 6, 7, 8, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 6, 6, 5, 4, 5, 7, 9, 9, 8, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 6, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 5, 6, 7, 7, 6, 5, 4, 5, 7, 9, 11, 11, 10, 9, 10, 7, 4, 4, 5, 5, 4, 2, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 3, 4, 6, 7, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 7, 6, 5, 4, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 6, 5, 4, 5, 7, 7, 5, 3, 3, 4, 4, 4, 4, 4, 4, 3, 8, 7, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 7, 6, 4, 5, 9, 8, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 5, 5, 4, 3, 3, 6, 4, 3, 6, 9, 10, 6, 2, 2, 4, 6, 6, 5, 5, 5, 6, 5, 5, 5, 4, 4, 3, 3, 3, 2, 3, 3, 4, 5, 7, 8, 8, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 3, 4, 6, 6, 6, 6, 8, 9, 15, 11, 7, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 4, 4, 5, 6, 4, 6, 7, 6, 4, 3, 4, 6, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 9, 8, 7, 5, 4, 4, 3, 3, 8, 3, 0, 7, 11, 0, 0, 22, 1, 2, 2, 3, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 10, 10, 9, 7, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 6, 8, 6, 7, 7, 7, 6, 5, 4, 3, 0, 6, 9, 5, 3, 5, 8, 8, 7, 1, 1, 7, 8, 4, 5, 12, 6, 5, 5, 4, 4, 5, 5, 6, 5, 6, 6, 5, 3, 2, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 2, 8, 11, 4, 3, 6, 1, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 6, 7, 7, 8, 4, 5, 5, 6, 6, 5, 5, 4, 2, 3, 3, 3, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 8, 8, 6, 4, 3, 4, 4, 5, 5, 5, 4, 3, 2, 5, 5, 4, 4, 4, 5, 6, 7, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 2, 2, 4, 5, 3, 2, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 5, 5, 6, 5, 5, 7, 8, 8, 6, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 6, 6, 6, 5, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 4, 4, 5, 6, 6, 6, 5, 5, 6, 5, 5, 6, 8, 8, 6, 4, 14, 9, 4, 2, 4, 6, 5, 4, 5, 5, 5, 4, 4, 4, 3, 3, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 5, 5, 5, 5, 5, 6, 5, 5, 4, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 5, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 7, 6, 5, 6, 7, 7, 5, 3, 3, 3, 4, 4, 4, 4, 3, 3, 9, 8, 7, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 3, 2, 2, 6, 7, 5, 3, 6, 10, 8, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 4, 3, 2, 8, 6, 7, 11, 15, 15, 10, 4, 4, 4, 5, 6, 7, 7, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 4, 5, 6, 8, 8, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 4, 6, 7, 7, 5, 5, 6, 8, 18, 13, 8, 4, 3, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 7, 7, 6, 4, 3, 3, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 5, 6, 7, 8, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 8, 8, 6, 5, 5, 5, 5, 5, 14, 3, 0, 6, 18, 6, 0, 5, 2, 3, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 7, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 5, 6, 6, 5, 4, 3, 6, 5, 5, 4, 4, 4, 5, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 5, 5, 4, 4, 5, 7, 7, 8, 8, 8, 7, 6, 4, 3, 4, 10, 13, 8, 5, 6, 9, 9, 8, 0, 0, 6, 7, 4, 7, 16, 6, 6, 4, 4, 4, 4, 6, 6, 2, 5, 7, 6, 4, 2, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 0, 7, 9, 2, 3, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 2, 2, 3, 3, 3, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 4, 4, 3, 3, 3, 3, 5, 4, 4, 4, 4, 5, 6, 7, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 3, 2, 2, 4, 5, 3, 2, 6, 6, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 4, 5, 6, 6, 8, 7, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 7, 5, 3, 4, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 5, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 5, 6, 6, 6, 6, 5, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 5, 4, 4, 4, 5, 5, 5, 3, 2, 3, 6, 8, 7, 6, 19, 12, 4, 1, 4, 7, 7, 6, 7, 6, 6, 6, 5, 5, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 7, 7, 6, 5, 5, 4, 6, 5, 4, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 5, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 7, 6, 6, 6, 7, 7, 5, 3, 2, 3, 4, 4, 4, 4, 3, 2, 8, 7, 6, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 4, 3, 2, 2, 8, 8, 6, 3, 6, 9, 7, 1, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 3, 2, 2, 2, 1, 2, 7, 12, 11, 5, 0, 6, 5, 4, 6, 8, 9, 7, 5, 5, 5, 5, 4, 4, 3, 3, 3, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 5, 7, 8, 8, 7, 5, 4, 4, 5, 16, 11, 6, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 8, 8, 6, 4, 2, 2, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 5, 6, 8, 9, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 5, 6, 8, 8, 6, 6, 5, 5, 5, 6, 7, 7, 4, 15, 9, 0, 3, 7, 2, 0, 5, 6, 7, 7, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 2, 3, 5, 5, 5, 5, 3, 2, 7, 7, 6, 5, 5, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 6, 7, 6, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 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4, 4, 4, 6, 6, 5, 5, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 7, 9, 9, 7, 5, 4, 6, 5, 5, 7, 10, 9, 5, 1, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 5, 3, 2, 3, 6, 7, 4, 1, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 9, 8, 7, 6, 5, 5, 5, 5, 8, 7, 6, 6, 5, 5, 6, 6, 3, 3, 4, 5, 5, 5, 4, 4, 5, 6, 7, 7, 5, 5, 6, 7, 5, 4, 3, 3, 4, 5, 7, 8, 6, 5, 4, 3, 3, 3, 3, 4, 1, 3, 5, 6, 6, 5, 3, 1, 4, 5, 5, 3, 1, 2, 4, 7, 8, 7, 6, 5, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 4, 6, 6, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 5, 5, 3, 3, 4, 5, 7, 5, 3, 3, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 9, 8, 7, 6, 5, 5, 5, 5, 5, 5, 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3, 3, 3, 4, 4, 4, 4, 5, 5, 2, 3, 4, 5, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 3, 5, 8, 10, 2, 2, 3, 4, 4, 3, 2, 2, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 2, 0, 4, 8, 7, 6, 7, 2, 0, 10, 5, 1, 11, 9, 2, 4, 2, 2, 4, 7, 7, 4, 1, 6, 6, 6, 5, 5, 4, 4, 4, 9, 6, 0, 9, 0, 247, 216, 28, 7, 6, 6, 5, 5, 6, 6, 7, 3, 3, 4, 5, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 2, 4, 6, 5, 5, 4, 6, 8, 12, 9, 6, 4, 5, 5, 4, 3, 1, 6, 10, 10, 6, 3, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 9, 9, 7, 5, 4, 1, 4, 6, 6, 6, 6, 4, 1, 2, 2, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 3, 2, 2, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 6, 2, 1, 4, 6, 6, 5, 9, 2, 0, 1, 0, 21, 0, 19, 10, 6, 1, 0, 0, 3, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 8, 7, 5, 5, 2, 3, 4, 4, 6, 6, 7, 8, 5, 5, 6, 6, 6, 7, 7, 7, 5, 5, 6, 6, 6, 5, 4, 3, 1, 5, 8, 7, 4, 2, 2, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 9, 7, 6, 7, 9, 9, 6, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 7, 5, 4, 6, 8, 8, 6, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 7, 6, 6, 5, 5, 5, 5, 6, 5, 5, 4, 3, 2, 3, 3, 3, 4, 4, 5, 5, 5, 4, 3, 3, 4, 6, 6, 6, 4, 3, 4, 5, 4, 4, 4, 4, 5, 5, 6, 7, 6, 6, 5, 4, 3, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 4, 5, 6, 5, 3, 3, 5, 6, 8, 7, 6, 5, 4, 3, 3, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 5, 5, 3, 3, 4, 5, 7, 5, 3, 3, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 7, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 7, 6, 6, 5, 5, 6, 6, 7, 3, 4, 4, 5, 5, 4, 4, 3, 3, 5, 6, 5, 4, 3, 4, 6, 6, 5, 5, 4, 4, 5, 5, 6, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 6, 5, 4, 3, 7, 7, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 3, 3, 2, 3, 3, 4, 6, 7, 7, 4, 3, 5, 7, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 5, 5, 6, 6, 4, 2, 3, 4, 4, 5, 4, 3, 2, 1, 5, 5, 5, 4, 4, 4, 3, 3, 2, 2, 2, 3, 5, 7, 9, 10, 7, 6, 5, 4, 4, 6, 8, 10, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 3, 3, 5, 5, 4, 3, 2, 4, 6, 7, 5, 4, 3, 4, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 5, 5, 5, 5, 6, 5, 5, 6, 6, 6, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 6, 5, 5, 4, 4, 3, 3, 3, 2, 3, 4, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 3, 3, 4, 6, 8, 9, 3, 3, 4, 4, 4, 4, 3, 3, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 6, 7, 5, 3, 6, 13, 16, 11, 5, 3, 6, 6, 10, 6, 4, 6, 1, 0, 5, 4, 4, 6, 8, 8, 5, 2, 6, 6, 6, 5, 5, 4, 4, 4, 1, 2, 1, 19, 28, 202, 226, 86, 6, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 6, 6, 4, 4, 6, 7, 10, 8, 5, 4, 5, 6, 5, 4, 2, 6, 10, 9, 5, 3, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 8, 7, 6, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 2, 4, 5, 5, 5, 5, 4, 2, 6, 6, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 12, 8, 4, 2, 3, 5, 4, 3, 8, 0, 26, 6, 17, 7, 3, 9, 9, 9, 8, 6, 4, 4, 6, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 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4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 7, 3, 6, 13, 13, 6, 3, 7, 2, 2, 3, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 9, 7, 5, 4, 5, 6, 5, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 5, 5, 5, 5, 6, 8, 10, 18, 0, 5, 55, 32, 8, 14, 6, 4, 3, 4, 6, 7, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 4, 3, 3, 3, 4, 6, 8, 10, 9, 7, 5, 5, 6, 7, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 6, 6, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 5, 7, 8, 7, 5, 6, 9, 13, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 6, 8, 8, 6, 4, 5, 7, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 7, 6, 6, 5, 5, 5, 5, 6, 7, 6, 5, 5, 4, 4, 5, 5, 5, 6, 6, 7, 7, 6, 5, 5, 2, 4, 6, 6, 5, 5, 7, 8, 7, 6, 5, 5, 4, 4, 4, 4, 6, 6, 5, 4, 3, 4, 4, 4, 9, 8, 8, 7, 7, 8, 8, 9, 4, 5, 6, 5, 3, 3, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 7, 5, 5, 6, 7, 7, 5, 3, 3, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 4, 5, 7, 8, 8, 6, 4, 3, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 7, 8, 7, 6, 5, 6, 8, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 6, 6, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 10, 9, 7, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 3, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 7, 5, 3, 4, 7, 7, 6, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 3, 3, 5, 7, 7, 6, 4, 5, 4, 4, 3, 4, 5, 6, 7, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 6, 7, 8, 5, 5, 5, 5, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 3, 3, 5, 5, 4, 3, 4, 6, 9, 9, 7, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 3, 3, 3, 4, 5, 5, 4, 3, 2, 2, 3, 3, 6, 5, 4, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 2, 4, 6, 8, 8, 6, 4, 2, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 6, 6, 5, 4, 4, 4, 5, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 4, 3, 4, 5, 6, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 6, 6, 6, 7, 2, 3, 7, 11, 9, 3, 3, 7, 3, 7, 1, 15, 1, 15, 59, 23, 4, 6, 9, 8, 5, 2, 2, 3, 6, 6, 6, 5, 5, 4, 4, 4, 3, 10, 2, 3, 6, 17, 4, 16, 6, 6, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 7, 6, 4, 3, 4, 5, 3, 3, 3, 5, 6, 6, 4, 2, 4, 4, 4, 4, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 6, 3, 8, 19, 19, 8, 3, 6, 4, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 7, 5, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 7, 7, 4, 4, 5, 7, 0, 16, 31, 0, 172, 42, 16, 4, 6, 11, 15, 13, 7, 1, 0, 2, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 3, 4, 4, 5, 5, 6, 6, 7, 4, 5, 5, 5, 6, 6, 6, 7, 2, 2, 1, 2, 4, 7, 10, 12, 10, 7, 4, 4, 6, 7, 6, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 7, 7, 7, 6, 6, 4, 5, 7, 9, 9, 7, 5, 4, 3, 5, 6, 5, 2, 1, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 1, 4, 7, 6, 3, 2, 3, 5, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 9, 8, 7, 6, 5, 5, 5, 5, 10, 10, 9, 8, 7, 7, 8, 8, 5, 5, 6, 7, 7, 7, 6, 6, 0, 2, 4, 4, 4, 4, 6, 8, 8, 7, 5, 4, 3, 3, 4, 5, 6, 5, 4, 3, 3, 3, 3, 4, 7, 6, 6, 5, 5, 6, 6, 7, 4, 5, 5, 3, 1, 2, 4, 7, 5, 5, 4, 4, 4, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 7, 5, 5, 6, 7, 7, 5, 3, 3, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 6, 8, 9, 8, 6, 4, 2, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 7, 9, 8, 6, 6, 7, 8, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 7, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 5, 5, 7, 9, 9, 8, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 5, 5, 6, 6, 7, 8, 6, 4, 5, 7, 9, 7, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 3, 3, 5, 7, 8, 6, 4, 5, 4, 4, 3, 4, 5, 7, 8, 7, 7, 7, 6, 6, 5, 5, 5, 8, 7, 6, 5, 4, 3, 3, 4, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 3, 3, 5, 5, 4, 3, 2, 4, 7, 7, 6, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 3, 3, 6, 5, 4, 3, 3, 3, 3, 3, 6, 5, 4, 3, 3, 3, 3, 4, 2, 3, 3, 4, 4, 5, 5, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 7, 7, 6, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 4, 3, 3, 3, 3, 4, 3, 4, 4, 5, 5, 6, 6, 7, 6, 5, 4, 4, 6, 6, 5, 4, 5, 6, 6, 7, 7, 6, 6, 5, 9, 8, 8, 7, 5, 4, 4, 3, 5, 5, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 4, 3, 2, 4, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 4, 3, 4, 2, 0, 6, 14, 4, 5, 1, 14, 0, 11, 64, 15, 5, 8, 11, 10, 6, 3, 3, 4, 6, 6, 6, 5, 5, 4, 4, 4, 0, 18, 2, 8, 16, 0, 11, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 3, 4, 5, 6, 6, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 5, 6, 7, 6, 4, 3, 4, 5, 4, 3, 3, 5, 6, 6, 3, 1, 3, 3, 4, 5, 6, 6, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 9, 9, 7, 5, 4, 5, 3, 10, 23, 23, 10, 3, 5, 8, 8, 7, 6, 6, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 3, 2, 2, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 9, 7, 4, 2, 3, 5, 12, 15, 0, 46, 44, 13, 0, 10, 13, 25, 34, 30, 15, 4, 4, 9, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 5, 5, 5, 7, 8, 2, 3, 4, 4, 6, 6, 7, 8, 5, 5, 6, 6, 6, 7, 7, 7, 5, 4, 3, 2, 3, 5, 8, 10, 9, 5, 1, 1, 3, 5, 4, 2, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 4, 4, 6, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 7, 6, 5, 4, 4, 4, 4, 5, 6, 3, 2, 3, 7, 8, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 4, 3, 2, 2, 3, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 7, 7, 6, 5, 4, 4, 6, 9, 9, 7, 5, 3, 3, 4, 3, 2, 1, 1, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 3, 3, 4, 4, 5, 4, 4, 4, 1, 3, 5, 5, 5, 5, 7, 9, 9, 9, 8, 7, 6, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 6, 5, 1, 0, 3, 3, 1, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 6, 7, 8, 8, 0, 4, 10, 9, 5, 3, 7, 13, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 3, 4, 6, 7, 7, 6, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 5, 3, 3, 9, 7, 5, 4, 4, 5, 6, 8, 4, 5, 6, 6, 4, 4, 5, 6, 5, 6, 8, 8, 7, 7, 8, 10, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 5, 6, 6, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 4, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 5, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 8, 11, 9, 7, 4, 2, 2, 2, 3, 1, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 3, 4, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 7, 7, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 7, 7, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 5, 5, 8, 10, 7, 8, 8, 8, 7, 5, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 5, 6, 8, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 7, 7, 6, 6, 7, 9, 10, 11, 4, 5, 5, 6, 6, 5, 5, 4, 4, 6, 7, 7, 5, 3, 3, 3, 2, 3, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 6, 7, 9, 9, 5, 6, 7, 8, 8, 6, 5, 4, 5, 6, 7, 7, 6, 5, 3, 2, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 1, 1, 2, 4, 7, 9, 27, 15, 3, 0, 4, 8, 7, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 7, 8, 7, 5, 3, 8, 6, 3, 1, 2, 6, 10, 13, 7, 7, 7, 6, 6, 5, 5, 5, 4, 5, 6, 5, 3, 3, 5, 8, 16, 44, 244, 52, 5, 4, 0, 9, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 7, 7, 6, 4, 3, 9, 8, 7, 6, 6, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 7, 7, 4, 5, 6, 7, 7, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 6, 4, 2, 4, 6, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 7, 8, 8, 7, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 5, 4, 4, 7, 9, 10, 8, 5, 4, 4, 5, 4, 3, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 9, 7, 5, 4, 3, 4, 5, 5, 3, 5, 6, 7, 6, 6, 8, 10, 8, 8, 7, 6, 5, 5, 6, 6, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 6, 5, 2, 2, 6, 7, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 7, 7, 1, 5, 8, 8, 5, 4, 7, 10, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 5, 5, 6, 6, 6, 6, 6, 6, 5, 6, 6, 5, 5, 4, 4, 5, 2, 4, 5, 5, 4, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 7, 6, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 1, 2, 3, 3, 3, 2, 1, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 5, 6, 6, 6, 4, 3, 3, 5, 6, 5, 4, 4, 4, 5, 5, 6, 6, 7, 7, 9, 8, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 7, 6, 5, 6, 7, 7, 7, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 6, 6, 6, 5, 5, 5, 4, 5, 5, 5, 6, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 6, 4, 4, 6, 7, 4, 5, 6, 6, 6, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 5, 6, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 3, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 7, 8, 9, 9, 8, 8, 6, 7, 7, 8, 8, 7, 7, 6, 6, 4, 2, 1, 2, 4, 7, 8, 3, 4, 5, 5, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 8, 9, 3, 4, 4, 5, 5, 5, 4, 4, 6, 6, 6, 6, 5, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 4, 7, 9, 11, 22, 13, 4, 1, 4, 7, 6, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 8, 6, 5, 5, 6, 6, 5, 3, 5, 4, 2, 1, 2, 5, 8, 10, 7, 7, 6, 6, 6, 5, 5, 5, 7, 6, 5, 5, 7, 8, 6, 5, 11, 20, 75, 36, 3, 7, 13, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 4, 8, 7, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 6, 5, 5, 5, 4, 4, 4, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 4, 4, 5, 6, 7, 4, 5, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 6, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 4, 4, 5, 7, 10, 10, 8, 6, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 13, 10, 6, 3, 2, 3, 5, 7, 4, 6, 8, 8, 7, 7, 8, 10, 7, 6, 5, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 7, 7, 7, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 5, 5, 2, 3, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 7, 7, 6, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 1, 3, 6, 8, 8, 8, 6, 5, 7, 6, 6, 5, 5, 4, 4, 3, 2, 4, 5, 5, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 9, 8, 7, 6, 4, 3, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 7, 4, 2, 3, 6, 7, 5, 2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 3, 6, 6, 6, 5, 5, 5, 5, 5, 7, 7, 7, 7, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 3, 2, 2, 3, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 6, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 8, 8, 6, 4, 3, 4, 5, 2, 2, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 6, 7, 7, 5, 3, 1, 6, 6, 7, 8, 8, 7, 6, 6, 33, 25, 13, 6, 4, 5, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 5, 3, 3, 3, 3, 4, 5, 6, 7, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 5, 6, 8, 10, 14, 11, 6, 4, 5, 6, 6, 5, 5, 5, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 2, 3, 3, 4, 4, 5, 5, 5, 7, 5, 3, 3, 4, 5, 4, 3, 3, 3, 2, 2, 3, 4, 6, 7, 7, 6, 6, 6, 5, 5, 5, 5, 7, 4, 3, 5, 9, 9, 5, 1, 7, 8, 0, 26, 0, 0, 15, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 3, 3, 3, 2, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 4, 4, 4, 5, 6, 7, 4, 4, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 4, 4, 5, 7, 9, 9, 8, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 4, 4, 5, 5, 6, 9, 8, 6, 4, 4, 4, 5, 6, 4, 6, 7, 7, 6, 6, 8, 9, 5, 5, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 6, 5, 2, 2, 6, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 2, 2, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 8, 6, 4, 5, 7, 7, 4, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 3, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 7, 9, 9, 7, 5, 4, 7, 6, 4, 3, 3, 4, 6, 7, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 5, 4, 4, 1, 2, 4, 6, 7, 7, 7, 6, 8, 6, 5, 5, 5, 5, 4, 2, 5, 6, 8, 7, 6, 5, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6, 6, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 4, 4, 5, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 7, 4, 3, 4, 6, 7, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 7, 7, 6, 5, 4, 6, 6, 6, 5, 4, 4, 3, 3, 5, 5, 6, 5, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 12, 10, 8, 6, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 1, 2, 4, 7, 8, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 5, 3, 3, 4, 6, 4, 4, 4, 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5, 5, 5, 5, 5, 6, 6, 5, 4, 3, 2, 1, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 2, 1, 2, 4, 5, 4, 3, 2, 3, 4, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 5, 4, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 3, 2, 3, 5, 6, 7, 6, 4, 3, 3, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 7, 2, 2, 3, 4, 4, 3, 2, 2, 1, 3, 5, 5, 4, 4, 6, 7, 5, 6, 7, 7, 6, 5, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 6, 5, 5, 6, 6, 7, 3, 4, 5, 6, 6, 4, 3, 2, 2, 3, 5, 6, 7, 7, 6, 5, 7, 7, 7, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 4, 3, 3, 6, 4, 3, 3, 5, 5, 4, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 10, 10, 9, 8, 7, 5, 5, 4, 2, 3, 6, 9, 11, 10, 6, 2, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 8, 7, 7, 5, 3, 2, 3, 4, 0, 11, 13, 0, 13, 9, 14, 3, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 7, 7, 5, 4, 4, 4, 4, 4, 2, 3, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 4, 6, 7, 7, 6, 6, 6, 7, 7, 7, 8, 8, 8, 4, 4, 3, 3, 3, 4, 5, 5, 2, 7, 8, 4, 2, 5, 7, 7, 6, 7, 6, 4, 3, 4, 7, 11, 8, 6, 5, 6, 8, 9, 8, 6, 5, 6, 6, 7, 7, 6, 6, 5, 8, 6, 4, 5, 5, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 2, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 6, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 2, 1, 4, 4, 4, 5, 5, 6, 6, 6, 3, 4, 6, 8, 8, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 5, 4, 3, 3, 5, 7, 7, 6, 4, 4, 6, 6, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 7, 5, 4, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 2, 12, 0, 16, 0, 10, 84, 28, 9, 6, 4, 4, 6, 5, 1, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 5, 4, 4, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 6, 6, 4, 4, 3, 3, 5, 6, 6, 7, 7, 6, 6, 5, 12, 12, 11, 9, 7, 6, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 9, 8, 8, 7, 7, 6, 6, 6, 0, 2, 5, 5, 4, 4, 5, 6, 3, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 1, 2, 4, 5, 6, 5, 4, 3, 8, 6, 5, 5, 7, 8, 6, 4, 4, 4, 4, 5, 5, 6, 6, 6, 3, 21, 27, 12, 2, 7, 11, 7, 5, 4, 4, 3, 3, 2, 2, 1, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 0, 1, 4, 5, 3, 2, 3, 5, 4, 3, 3, 2, 3, 4, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 4, 3, 3, 2, 2, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 7, 7, 6, 6, 4, 4, 3, 3, 5, 5, 5, 6, 6, 7, 7, 7, 0, 6, 12, 13, 8, 3, 3, 4, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 9, 8, 4, 5, 9, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 7, 11, 8, 1, 3, 9, 5, 4, 4, 3, 3, 4, 4, 5, 6, 5, 9, 7, 1, 8, 12, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 5, 2, 5, 11, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 8, 8, 6, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 7, 7, 7, 6, 5, 5, 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6, 8, 7, 7, 7, 6, 6, 5, 5, 2, 4, 5, 6, 5, 6, 8, 10, 5, 5, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 4, 5, 5, 5, 5, 4, 5, 4, 3, 4, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 25, 32, 17, 4, 5, 7, 2, 4, 4, 3, 3, 3, 3, 3, 2, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 6, 7, 3, 3, 5, 10, 15, 15, 10, 5, 2, 3, 4, 5, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 6, 7, 7, 6, 4, 3, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 7, 7, 6, 5, 5, 4, 3, 3, 5, 5, 5, 6, 6, 6, 7, 7, 1, 6, 11, 11, 7, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 1, 0, 3, 4, 2, 3, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 9, 6, 1, 2, 8, 5, 5, 4, 3, 3, 3, 4, 4, 6, 4, 8, 6, 0, 7, 11, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 4, 6, 10, 9, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 8, 8, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 17, 20, 19, 13, 6, 0, 0, 8, 7, 7, 6, 5, 4, 4, 5, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 8, 10, 8, 4, 4, 7, 11, 16, 15, 14, 11, 9, 6, 3, 2, 5, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 2, 2, 4, 5, 4, 3, 4, 5, 5, 5, 6, 6, 6, 7, 9, 9, 7, 5, 4, 3, 3, 3, 6, 7, 5, 1, 2, 5, 5, 1, 2, 3, 3, 2, 2, 3, 6, 9, 8, 6, 4, 4, 5, 5, 4, 2, 5, 5, 6, 6, 6, 6, 5, 5, 7, 5, 4, 4, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 6, 6, 6, 7, 7, 7, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 4, 5, 5, 5, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 4, 5, 5, 4, 4, 5, 6, 7, 6, 4, 4, 6, 6, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 5, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 5, 7, 3, 11, 5, 5, 23, 7, 4, 5, 6, 5, 4, 5, 7, 9, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 6, 6, 5, 5, 5, 2, 3, 5, 6, 7, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 6, 7, 7, 6, 5, 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7, 3, 7, 6, 0, 5, 10, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 4, 5, 7, 5, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 8, 8, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 4, 4, 3, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 8, 8, 7, 7, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 6, 6, 6, 6, 7, 6, 5, 4, 4, 5, 6, 7, 22, 85, 79, 24, 11, 11, 6, 16, 6, 6, 5, 4, 4, 4, 4, 5, 7, 6, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7, 9, 8, 6, 6, 9, 13, 14, 12, 10, 8, 6, 5, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 3, 3, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 9, 8, 7, 6, 5, 5, 5, 5, 7, 7, 5, 2, 4, 8, 7, 3, 1, 3, 4, 3, 3, 4, 7, 10, 9, 7, 5, 5, 6, 5, 3, 2, 4, 5, 6, 6, 6, 6, 5, 4, 6, 5, 4, 4, 6, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 6, 6, 4, 4, 5, 6, 7, 6, 4, 4, 6, 6, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 7, 5, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 6, 5, 8, 6, 0, 7, 3, 5, 7, 5, 3, 2, 6, 10, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 1, 3, 5, 7, 8, 7, 5, 4, 6, 5, 4, 4, 4, 4, 5, 6, 8, 6, 4, 2, 2, 4, 6, 8, 4, 5, 7, 9, 9, 7, 5, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 7, 11, 15, 9, 7, 5, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 3, 3, 5, 6, 8, 7, 7, 7, 5, 4, 4, 7, 10, 5, 5, 5, 5, 5, 5, 5, 5, 0, 10, 15, 8, 4, 8, 7, 1, 2, 2, 3, 3, 4, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 5, 6, 6, 6, 6, 4, 1, 1, 9, 17, 18, 10, 0, 2, 4, 6, 7, 7, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 8, 8, 5, 5, 5, 4, 4, 3, 3, 3, 2, 3, 4, 4, 6, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 7, 7, 6, 3, 3, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 11, 23, 28, 21, 8, 1, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 6, 5, 5, 6, 7, 7, 6, 4, 4, 3, 4, 4, 7, 2, 6, 6, 1, 4, 9, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 3, 4, 5, 3, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 10, 9, 9, 8, 7, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 8, 7, 7, 6, 6, 6, 9, 7, 5, 4, 4, 5, 7, 9, 42, 238, 238, 52, 0, 23, 24, 0, 5, 4, 4, 3, 3, 3, 4, 4, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 3, 5, 7, 7, 6, 6, 9, 12, 5, 4, 3, 2, 3, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 4, 6, 7, 6, 5, 4, 4, 4, 5, 5, 5, 6, 6, 7, 6, 6, 5, 5, 6, 7, 7, 3, 5, 4, 1, 3, 7, 8, 5, 3, 4, 6, 5, 5, 5, 8, 10, 10, 9, 7, 6, 7, 7, 5, 3, 4, 4, 5, 6, 6, 5, 4, 4, 6, 4, 3, 4, 6, 7, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 7, 6, 4, 4, 5, 6, 7, 6, 4, 4, 6, 6, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 7, 5, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 0, 8, 8, 0, 13, 4, 6, 8, 6, 2, 1, 3, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 5, 7, 8, 7, 5, 4, 6, 6, 5, 4, 4, 5, 6, 6, 8, 6, 4, 2, 2, 4, 6, 8, 4, 5, 7, 9, 9, 7, 5, 4, 6, 6, 5, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 5, 9, 12, 8, 7, 5, 4, 3, 4, 4, 5, 6, 5, 5, 5, 4, 4, 3, 3, 6, 5, 4, 3, 4, 5, 7, 8, 8, 7, 7, 5, 3, 3, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 3, 0, 5, 13, 11, 4, 3, 3, 3, 4, 5, 5, 6, 6, 3, 4, 4, 5, 5, 6, 6, 7, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 6, 6, 6, 5, 5, 4, 3, 3, 5, 7, 7, 5, 2, 6, 6, 5, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 6, 7, 8, 9, 9, 5, 5, 5, 4, 4, 3, 3, 3, 2, 3, 4, 4, 6, 6, 7, 8, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 7, 6, 6, 5, 5, 6, 6, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 4, 3, 3, 4, 6, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 5, 15, 20, 15, 5, 0, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 7, 8, 9, 8, 7, 7, 7, 6, 5, 4, 4, 4, 5, 7, 1, 6, 9, 3, 4, 8, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 1, 2, 6, 8, 8, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 6, 5, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 10, 9, 9, 8, 7, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 8, 8, 7, 7, 6, 6, 6, 9, 7, 5, 4, 4, 5, 7, 9, 16, 83, 61, 7, 19, 19, 0, 9, 4, 4, 3, 3, 3, 4, 4, 5, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 4, 4, 4, 5, 7, 9, 3, 2, 1, 1, 2, 4, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 6, 4, 5, 6, 7, 7, 6, 4, 5, 5, 5, 6, 6, 6, 7, 5, 5, 5, 4, 5, 6, 7, 7, 0, 4, 5, 1, 0, 3, 5, 4, 4, 6, 7, 7, 6, 5, 7, 8, 10, 8, 7, 7, 8, 8, 6, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 7, 7, 7, 6, 6, 6, 5, 5, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 6, 5, 5, 5, 5, 6, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 5, 4, 5, 6, 7, 6, 4, 4, 6, 6, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 5, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 3, 3, 0, 6, 8, 1, 14, 5, 6, 8, 7, 6, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 2, 3, 5, 6, 7, 6, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 7, 6, 4, 3, 3, 4, 6, 7, 4, 5, 6, 7, 7, 6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 2, 3, 3, 3, 2, 3, 6, 8, 5, 5, 5, 5, 5, 5, 4, 4, 6, 5, 5, 4, 3, 3, 2, 2, 5, 5, 5, 5, 5, 6, 7, 7, 6, 4, 3, 3, 5, 5, 3, 1, 6, 6, 5, 5, 5, 5, 4, 4, 10, 7, 2, 0, 6, 13, 11, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 7, 7, 6, 5, 4, 5, 7, 7, 4, 1, 1, 4, 8, 8, 7, 5, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 6, 7, 8, 8, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 5, 4, 3, 3, 4, 4, 3, 3, 4, 5, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 9, 3, 0, 4, 7, 6, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 6, 8, 12, 11, 6, 6, 6, 5, 5, 5, 5, 6, 7, 7, 0, 7, 13, 7, 5, 7, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 5, 11, 14, 11, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 6, 4, 4, 5, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 8, 8, 7, 7, 6, 6, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 6, 6, 6, 6, 7, 6, 5, 4, 4, 5, 6, 7, 0, 26, 19, 0, 7, 1, 0, 14, 5, 4, 4, 4, 4, 5, 6, 6, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 4, 5, 6, 6, 5, 5, 6, 6, 6, 7, 7, 7, 8, 6, 5, 5, 4, 4, 4, 4, 5, 3, 10, 12, 6, 0, 0, 4, 6, 4, 6, 7, 7, 5, 4, 4, 5, 8, 6, 5, 6, 7, 7, 6, 5, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 3, 4, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 6, 8, 8, 6, 4, 2, 6, 5, 5, 4, 5, 6, 7, 8, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 7, 8, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 6, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 7, 5, 4, 5, 6, 7, 6, 4, 4, 6, 6, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 7, 5, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 8, 3, 3, 2, 4, 10, 7, 5, 6, 8, 10, 12, 11, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 4, 4, 4, 5, 5, 6, 6, 6, 7, 6, 6, 5, 5, 6, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 6, 6, 2, 4, 5, 4, 3, 2, 3, 5, 2, 4, 5, 7, 7, 6, 5, 4, 7, 7, 6, 5, 4, 3, 3, 3, 4, 5, 6, 6, 7, 7, 6, 6, 5, 2, 1, 5, 11, 13, 8, 3, 6, 6, 6, 5, 5, 4, 4, 4, 7, 8, 7, 5, 6, 9, 8, 5, 6, 5, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 7, 7, 6, 5, 4, 5, 6, 7, 4, 2, 2, 6, 10, 7, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 5, 5, 5, 6, 5, 4, 4, 4, 4, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 9, 5, 4, 6, 7, 5, 7, 11, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 8, 13, 11, 5, 5, 5, 4, 5, 5, 7, 8, 9, 6, 0, 8, 17, 11, 7, 7, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 6, 13, 15, 10, 7, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 4, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 4, 6, 7, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 26, 5, 0, 16, 23, 4, 0, 8, 5, 5, 4, 4, 5, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 5, 6, 6, 7, 7, 7, 7, 6, 5, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 2, 2, 4, 5, 5, 4, 6, 6, 7, 7, 7, 8, 8, 8, 8, 7, 5, 4, 2, 2, 2, 2, 9, 17, 20, 12, 2, 1, 5, 8, 4, 6, 7, 6, 4, 2, 2, 2, 6, 4, 3, 4, 6, 7, 6, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 4, 3, 4, 6, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 3, 5, 5, 5, 4, 4, 3, 3, 2, 6, 5, 5, 4, 4, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 7, 9, 9, 7, 3, 1, 6, 5, 5, 4, 5, 6, 8, 9, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 8, 10, 10, 8, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 6, 6, 5, 5, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 6, 6, 7, 8, 3, 3, 3, 3, 3, 3, 3, 3, 6, 8, 8, 7, 5, 4, 5, 6, 7, 6, 4, 4, 6, 6, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 8, 7, 5, 4, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 12, 4, 6, 0, 0, 14, 0, 5, 5, 7, 12, 17, 17, 12, 7, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 7, 7, 8, 8, 9, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 5, 5, 6, 6, 7, 4, 5, 5, 6, 6, 5, 5, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 3, 5, 6, 6, 4, 2, 2, 3, 0, 2, 5, 8, 9, 7, 5, 3, 8, 8, 7, 7, 6, 5, 4, 4, 3, 4, 6, 8, 8, 7, 6, 5, 7, 3, 2, 9, 19, 22, 15, 7, 6, 6, 6, 5, 5, 4, 4, 4, 0, 5, 10, 8, 4, 3, 5, 6, 7, 6, 6, 5, 5, 4, 4, 3, 7, 6, 6, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 5, 7, 8, 7, 5, 4, 3, 3, 4, 4, 4, 5, 7, 9, 5, 6, 8, 9, 9, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 6, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 3, 1, 7, 7, 6, 5, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 7, 13, 12, 6, 3, 4, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 3, 6, 12, 10, 3, 4, 4, 4, 5, 6, 7, 9, 10, 6, 0, 9, 20, 14, 8, 7, 2, 4, 4, 4, 4, 4, 4, 4, 4, 7, 3, 4, 11, 12, 6, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 5, 4, 4, 6, 8, 4, 4, 4, 4, 4, 4, 4, 4, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 6, 4, 4, 5, 6, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 3, 4, 4, 5, 5, 4, 4, 3, 1, 1, 11, 10, 0, 11, 19, 2, 6, 5, 5, 5, 6, 7, 8, 8, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 7, 5, 5, 6, 6, 6, 5, 1, 2, 4, 5, 6, 5, 4, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5 )
+size = Vector2( 1024, 1024 )
+storage = 0
+lossy_quality = 0.7
 
 [node name="MoonSpace" type="Node2D"]
 
 script/script = ExtResource( 1 )
 
-[node name="Sprite" type="Sprite" parent="."]
+[node name="CanvasLayer" type="CanvasLayer" parent="."]
 
-texture = ExtResource( 2 )
+layer = 1
+offset = Vector2( 0, 0 )
+rotation = 0.0
+scale = Vector2( 1, 1 )
+
+[node name="TimeLabel" type="Label" parent="CanvasLayer"]
+
+rect/scale = Vector2( 2, 2 )
+focus/ignore_mouse = true
+focus/stop_mouse = true
+size_flags/horizontal = 2
+size_flags/vertical = 0
+margin/left = 1750.0
+margin/top = 1000.0
+margin/right = 1790.0
+margin/bottom = 1024.0
+custom_fonts/font = ExtResource( 2 )
+custom_colors/font_color = Color( 1, 1, 1, 1 )
+custom_colors/font_color_shadow = Color( 0.367188, 0.367188, 0.367188, 1 )
+percent_visible = 1.0
+lines_skipped = 0
+max_lines_visible = -1
+script/script = ExtResource( 3 )
+
+[node name="ParallaxBackground" type="ParallaxBackground" parent="."]
+
+layer = -1
+offset = Vector2( 0, 0 )
+rotation = 0.0
+scale = Vector2( 1, 1 )
+scroll/offset = Vector2( 0, 0 )
+scroll/base_offset = Vector2( 0, 0 )
+scroll/base_scale = Vector2( 1, 1 )
+scroll/limit_begin = Vector2( 0, 0 )
+scroll/limit_end = Vector2( 0, 0 )
+scroll/ignore_camera_zoom = false
+
+[node name="StarParallax" type="ParallaxLayer" parent="ParallaxBackground"]
+
+motion/scale = Vector2( 0.1, 0.1 )
+motion/offset = Vector2( 0, 0 )
+motion/mirroring = Vector2( 0, 0 )
+
+[node name="Starfield" type="Sprite" parent="ParallaxBackground/StarParallax"]
+
+texture = SubResource( 1 )
+offset = Vector2( 500, 500 )
 region = true
-region_rect = Rect2( -5000, -5000, 10000, 10000 )
+region_rect = Rect2( 0, 0, 8192, 8192 )
 
-[node name="Earth" parent="." instance=ExtResource( 3 )]
+[node name="SunParallax" type="ParallaxLayer" parent="ParallaxBackground"]
+
+motion/scale = Vector2( 0.3, 0.3 )
+motion/offset = Vector2( 0, 0 )
+motion/mirroring = Vector2( 0, 0 )
+
+[node name="Sun" type="Sprite" parent="ParallaxBackground/SunParallax"]
+
+transform/pos = Vector2( 581.094, 214.012 )
+transform/scale = Vector2( 0.181912, 0.181912 )
+texture = ExtResource( 4 )
+
+[node name="Earth" parent="." instance=ExtResource( 5 )]
 
 transform/pos = Vector2( 211.028, 755.178 )
 
-[node name="Rocket" parent="." instance=ExtResource( 4 )]
+[node name="Rocket" parent="." instance=ExtResource( 6 )]
 
 transform/pos = Vector2( 433.782, 663.086 )
 transform/rot = 290.0
 
-[node name="Moon" parent="." instance=ExtResource( 5 )]
+[node name="Moon" parent="." instance=ExtResource( 7 )]
 
 transform/pos = Vector2( 1138.31, 163.589 )
 
diff --git a/Rocket.tscn b/Rocket.tscn
index a13b802..c8f9534 100644
--- a/Rocket.tscn
+++ b/Rocket.tscn
@@ -1,13 +1,18 @@
-[gd_scene load_steps=6 format=1]
+[gd_scene load_steps=7 format=1]
 
 [ext_resource path="res://rocket.gd" type="Script" id=1]
-[ext_resource path="res://rocket-297573-800px.png" type="Texture" id=2]
+[ext_resource path="res://rocket.png" type="Texture" id=2]
 [ext_resource path="res://DebugDraw.tscn" type="PackedScene" id=3]
 
-[sub_resource type="ConvexPolygonShape2D" id=1]
+[sub_resource type="ConvexPolygonShape2D" id=3]
 
 custom_solver_bias = 0.0
-points = Vector2Array( -11.3815, 0.727529, -10.5982, -4.33918, -6.21178, -8.37972, -0.572069, -11.1376, 5.06765, -8.76453, 9.76742, -4.9164, 10.7074, 0.535122, 5.69428, 9.83478, -6.21178, 9.83478 )
+points = Vector2Array( -11.3815, 0.727529, -10.5982, -4.33918, -6.21178, -8.37972, -0.572069, -11.1376, 5.06765, -8.76453, 9.76742, -4.9164, 10.7074, 0.535122, 6.24971, 7.12876, -6.25212, 6.97128 )
+
+[sub_resource type="RectangleShape2D" id=4]
+
+custom_solver_bias = 0.0
+extents = Vector2( 10, 10 )
 
 [sub_resource type="ColorRamp" id=2]
 
@@ -17,9 +22,12 @@ colors = ColorArray( 0.992188, 1, 0, 1, 0.90625, 0.390511, 0.0141602, 1, 0.90625
 [node name="Rocket" type="RigidBody2D"]
 
 input/pickable = false
-shapes/0/shape = SubResource( 1 )
+shapes/0/shape = SubResource( 3 )
 shapes/0/transform = Matrix32( 1.51812, 0, 0, 3.70819, 0.571488, 1.47728 )
 shapes/0/trigger = false
+shapes/1/shape = SubResource( 4 )
+shapes/1/transform = Matrix32( 0.999501, 0, 0, 0.549788, 0.569656, 33.3204 )
+shapes/1/trigger = false
 collision/layers = 1
 collision/mask = 1
 mode = 0
@@ -72,15 +80,23 @@ color/color_ramp = SubResource( 2 )
 transform/scale = Vector2( 0.1, 0.1 )
 texture = ExtResource( 2 )
 
-[node name="CollisionShape2D" type="CollisionPolygon2D" parent="."]
+[node name="ShipCollision" type="CollisionPolygon2D" parent="."]
 
 transform/pos = Vector2( 0.571488, 1.47728 )
 transform/scale = Vector2( 1.51812, 3.70819 )
 build_mode = 0
-polygon = Vector2Array( -11.3815, 0.727529, -10.5982, -4.33918, -6.21178, -8.37972, -0.572069, -11.1376, 5.06765, -8.76453, 9.76742, -4.9164, 10.7074, 0.535122, 5.69428, 9.83478, -6.21178, 9.83478 )
+polygon = Vector2Array( -11.3815, 0.727529, -10.5982, -4.33918, -6.21178, -8.37972, -0.572069, -11.1376, 5.06765, -8.76453, 9.76742, -4.9164, 10.7074, 0.535122, 6.24971, 7.12876, -6.25212, 6.97128 )
 shape_range = Vector2( 0, 0 )
 trigger = false
 
+[node name="FootCollision" type="CollisionShape2D" parent="."]
+
+transform/pos = Vector2( 0.569656, 33.3204 )
+transform/scale = Vector2( 0.999501, 0.549788 )
+shape = SubResource( 4 )
+trigger = false
+_update_shape_index = 1
+
 [node name="debug_draw" parent="." instance=ExtResource( 3 )]
 
 [node name="Camera2D" type="Camera2D" parent="."]
@@ -102,4 +118,18 @@ drag_margin/top = 0.2
 drag_margin/right = 0.2
 drag_margin/bottom = 0.2
 
+[node name="CollisionLabel" type="Label" parent="."]
+
+focus/ignore_mouse = true
+focus/stop_mouse = true
+size_flags/horizontal = 2
+size_flags/vertical = 0
+margin/left = 15.0
+margin/top = -42.0
+margin/right = 55.0
+margin/bottom = -28.0
+percent_visible = 1.0
+lines_skipped = 0
+max_lines_visible = -1
+
 
diff --git a/computerspeakfont.fnt b/computerspeakfont.fnt
new file mode 100644
index 0000000000000000000000000000000000000000..84cfec2c51c2d3523fc7de7ec04d5baaadfd6d0f
GIT binary patch
literal 10674
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diff --git a/computerspeakfont.inc b/computerspeakfont.inc
new file mode 100644
index 0000000..fece133
--- /dev/null
+++ b/computerspeakfont.inc
@@ -0,0 +1,5401 @@
+static const int _builtin_font_height=24;
+static const int _builtin_font_ascent=20;
+static const int _builtin_font_charcount=121;
+static const int _builtin_font_charrects[121][8]={
+/* charidx , ofs_x, ofs_y, size_x, size_y, valign, halign, advance */
+{32,0,0,0,0,20,0,11},
+{96,88,121,2,4,4,2,6},
+{176,42,121,4,4,4,0,6},
+{64,2,2,14,14,6,0,16},
+{80,112,49,7,16,4,0,9},
+{48,2,61,7,16,4,0,9},
+{192,211,62,7,21,-1,0,9},
+{224,112,69,7,21,-1,0,9},
+{112,145,87,7,16,4,0,9},
+{33,222,42,7,16,4,0,9},
+{49,13,87,6,16,4,0,8},
+{65,2,41,7,16,4,0,9},
+{193,200,57,7,21,-1,0,9},
+{225,101,55,7,21,-1,0,9},
+{113,190,2,10,18,4,0,11},
+{81,176,2,10,18,4,0,11},
+{97,189,82,7,16,4,0,9},
+{34,33,116,5,4,4,2,9},
+{82,123,49,7,16,4,0,9},
+{50,143,22,7,16,4,0,9},
+{194,189,57,7,21,-1,0,9},
+{226,90,55,7,21,-1,0,9},
+{98,200,82,7,16,4,0,9},
+{114,134,87,7,16,4,0,9},
+{162,132,2,11,16,4,0,13},
+{66,24,50,7,16,4,0,9},
+{83,145,42,7,16,4,0,9},
+{51,154,22,7,16,4,0,9},
+{35,217,2,9,16,4,0,11},
+{99,211,87,7,16,4,0,9},
+{115,123,94,7,16,4,0,9},
+{67,35,56,7,16,4,0,9},
+{84,156,42,7,16,4,0,9},
+{52,165,22,7,16,4,0,9},
+{36,38,2,13,24,0,0,15},
+{100,222,87,7,16,4,0,9},
+{116,112,94,7,16,4,0,9},
+{68,13,67,7,16,4,0,9},
+{85,167,44,7,16,4,0,9},
+{53,176,24,7,16,4,0,9},
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+{118,90,80,7,16,4,0,9},
+{182,162,2,10,16,4,0,12},
+{70,35,96,7,16,4,0,9},
+{183,94,100,2,2,11,2,6},
+{39,82,121,2,4,4,2,6},
+{247,93,22,9,9,11,0,11},
+{215,80,22,9,9,11,0,11},
+{87,87,2,11,16,4,0,13},
+{55,131,22,8,16,4,0,10},
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+{104,2,108,7,16,4,0,9},
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+{88,211,42,7,16,4,0,9},
+{56,198,24,7,16,4,0,9},
+{121,57,101,7,16,4,0,9},
+{105,13,47,7,16,4,0,9},
+{233,123,69,7,21,-1,0,9},
+{201,156,62,7,21,-1,0,9},
+{41,233,48,7,23,1,0,9},
+{57,220,22,7,16,4,0,9},
+{89,233,28,7,16,4,0,9},
+{73,90,35,7,16,4,0,9},
+{122,46,101,7,16,4,0,9},
+{106,24,70,7,16,4,0,9},
+{202,145,62,7,21,-1,0,9},
+{234,178,64,7,21,-1,0,9},
+{58,74,121,4,16,4,2,8},
+{90,244,28,7,16,4,0,9},
+{74,68,49,7,16,4,0,9},
+{42,55,2,13,13,5,0,15},
+{107,35,76,7,16,4,0,9},
+{59,66,121,4,20,4,2,8},
+{91,2,81,7,23,1,0,9},
+{123,67,22,9,23,1,0,11},
+{75,134,42,7,16,4,0,9},
+{43,106,22,9,9,7,2,13},
+{108,178,89,7,16,4,0,9},
+{92,15,20,9,17,4,0,11},
+{220,46,77,7,20,0,0,9},
+{252,57,77,7,20,0,0,9},
+{124,100,100,2,23,1,2,6},
+{76,46,57,7,16,4,0,9},
+{60,200,44,7,9,9,2,11},
+{44,58,121,4,8,16,2,8},
+{109,102,2,11,16,4,0,13},
+{93,119,22,8,23,1,0,10},
+{125,54,30,9,23,1,0,11},
+{77,72,2,11,16,4,0,13},
+{61,209,22,7,5,13,2,11},
+{45,231,22,7,2,11,2,11},
+{173,13,41,7,2,11,2,11},
+{110,167,89,7,16,4,0,9},
+{206,134,62,7,21,-1,0,9},
+{238,222,62,7,21,-1,0,9},
+{78,57,57,7,16,4,0,9},
+{62,189,44,7,9,9,2,11},
+{126,20,2,14,7,9,0,16},
+{94,23,110,6,6,5,2,9},
+{46,50,121,4,4,16,2,8},
+{111,156,87,7,16,4,0,9},
+{47,2,20,9,17,4,0,11},
+{63,230,2,9,16,4,0,11},
+{79,79,49,7,16,4,0,9},
+{175,242,22,7,2,11,2,11},
+{95,147,2,11,2,18,2,15},
+};
+static const int _builtin_font_kerning_pair_count=0;
+static const int _builtin_font_kerning_pairs[0][3]={
+};
+static const int _builtin_font_img_width=256;
+static const int _builtin_font_img_height=256;
+static const int _builtin_font_img_data_size=5266;
+static const unsigned char _builtin_font_img_data[5266]={
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diff --git a/computerspeakfont.sv.png.flags b/computerspeakfont.sv.png.flags
new file mode 100644
index 0000000..5130fd1
--- /dev/null
+++ b/computerspeakfont.sv.png.flags
@@ -0,0 +1 @@
+gen_mipmaps=false
diff --git a/engine.cfg b/engine.cfg
index 779fc06..bb4a988 100644
--- a/engine.cfg
+++ b/engine.cfg
@@ -2,7 +2,8 @@
 
 name="MoonLaunch"
 main_scene="res://Level.tscn"
-icon="res://icon.png"
+boot_splash="res://rocket.png"
+icon="res://rocket.png"
 
 [display]
 
@@ -18,5 +19,5 @@ bear_left=[key(Left)]
 
 [physics]
 
-default_gravity_vector=Vector3(1, 0, 0)
+default_gravity_vector=Vector3(0, 0, 0)
 default_gravity=1.0
diff --git a/rocket-297573-800px.png b/rocket-297573-800px.png
deleted file mode 100644
index 0f0dfe0fd0069ac6145c36d18580f23368562abc..0000000000000000000000000000000000000000
GIT binary patch
literal 0
HcmV?d00001

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diff --git a/rocket.gd b/rocket.gd
index 66bbcc8..590c956 100644
--- a/rocket.gd
+++ b/rocket.gd
@@ -4,7 +4,10 @@ var thrust = Vector2(0, 450)
 var torque = 20000
 
 func _ready():
-	pass
+	#pass
+	set_process(true)
+	set_contact_monitor(true)
+	set_max_contacts_reported(3)
 
 func _integrate_forces(state):
 	if Input.is_action_pressed("thrust"):
@@ -18,3 +21,6 @@ func _integrate_forces(state):
 		get_node("Particles2D").hide()
 	var t = Input.is_action_pressed("bear_right") - Input.is_action_pressed("bear_left")
 	set_applied_torque(torque * t)
+
+func _process(delta):
+	print(get_colliding_bodies())
\ No newline at end of file
diff --git a/rocket.png b/rocket.png
new file mode 100644
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diff --git a/timelabel.gd b/timelabel.gd
new file mode 100644
index 0000000..7905f02
--- /dev/null
+++ b/timelabel.gd
@@ -0,0 +1,16 @@
+extends Label
+
+# class member variables go here, for example:
+# var a = 2
+# var b = "textvar"
+
+var time = 0
+
+func _ready():
+	# Called every time the node is added to the scene.
+	# Initialization here
+	set_process(true)
+
+func _process(delta):
+	time += delta
+	set_text(str(time))