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【教学类-43-26】20240312 数独4宫格的所有可能（图片版 576套样式，空1格-空8格，每套65534张*576小图=3千万张小图）

article 2025/3/16 4:58:32

背景需求：

之前做了三宫格所有可能图片 510小图*12套=6120图，所以3分钟就生成了

【教学类-43-25】20240311 数独3宫格的所有可能（图片版 12套样式，空1格-空8格，每套510张，共6120小图）-CSDN博客文章浏览阅读663次，点赞12次，收藏11次。【教学类-43-25】20240311 数独3宫格的所有可能（图片版 12套样式，空1格-空8格，每套510张，共6120小图） https://blog.csdn.net/reasonsummer/article/details/146190184?spm=1011.2415.3001.5331

现在我想制作四宫格的所有图片，已知四宫格的数量是三个格的指数倍数。

把3宫格代码修改一下，做 一套4宫格所有可能（图片版）


'''
目的：数独4宫格,所有可能样式，做成图片（调整下划线位置
作者：阿夏
时间：20250311


'''

import math,os,time
from itertools import permutations
import random
from win32com.client import constants, gencache
from win32com.client.gencache import EnsureDispatch
from docx import Document
from docx.shared import Pt, RGBColor
from docx.enum.text import WD_PARAGRAPH_ALIGNMENT, WD_BREAK
from docx.oxml.ns import qn
from docxtpl import DocxTemplate
import pandas as pd
from docx2pdf import convert
from datetime import datetime

from PIL import Image, ImageDraw, ImageFont
import os
import copy


# 开始时间
start_time = datetime.now()

# 制作"单元格"# 几宫格
hs=4
# int(input('4宫格数独=3\n'))
# 内容太多了，容易报错，如果报错，就重新设置起始宫格数字1-8
start=1
# 第几套，第一套

# 新建一个”装N份word和PDF“的临时文件夹
# 创建输出目录
path = r'C:\Users\jg2yXRZ\OneDrive\桌面\20250311 4宫格所有可能（图片版）\01四宫格图片版'
os.makedirs(path, exist_ok=True)
output_dir = path + r'\00全部'
os.makedirs(output_dir, exist_ok=True)
      


print('------第2步：制作4宫格的12套题的内容-------')

# 制作4宫格的12套题目（没有空格，只有基础模板）
lst=[]
for b in range(1,hs+1):
    lst.append(b)
print(lst)


permutations_list = list(permutations(lst))
numbers = [list(permutation) for permutation in permutations_list]
# print(numbers)
# [[1, 2, 3, 4], [1, 2, 4, 3], [1, 3, 2, 4], [1, 3, 4, 2], [1, 4, 2, 3], [1, 4, 3, 2], [2, 1, 3, 4], [2, 1, 4, 3], [2, 3, 1, 4], [2, 3, 4, 1], [2, 4, 1, 3], [2, 4, 3, 1], [3, 1, 2, 4], [3, 1, 4, 2], [3, 2, 1, 4], [3, 2, 4, 1], [3, 4, 1, 2], [3, 4, 2, 1], [4, 1, 2, 3], [4, 1, 3, 2], [4, 2, 1, 3], [4, 2, 3, 1], [4, 3, 1, 2], [4, 3, 2, 1]]PS D:\test>
# 6种组合


# 互相组合成3组
import itertools

# 计算排列数量并生成所有可能的排列
combinations2 = list(itertools.permutations(numbers, hs))
# 包含相似的

# 输出排列数量
print(len(combinations2))
# 120

# # 把所有数字都提取成元素
ll=[]
for o1 in combinations2:
    for o2 in o1:
        for o3 in o2:
            ll.append(o3)
            
print(ll)
print(len(ll))
# 1080

v=hs*hs
# 9个数字抽取一组
f=[]
for i in range(int(len(ll)/v)):
    f.append(ll[i*v:i*v+v])
# print(f)
# print(len(f))
#120条


# # # 遍历表格，把0、5、10相同的内容删除,横向的数字1234都正确了，现在只要排除竖向不对的

P=[]
z=[]
for k in f:  

  if int(k[0])!=int(k[4])and int(k[0])!=int(k[8])and int(k[0])!=int(k[12]) and int(k[4])!=int(k[8]) and int(k[4])!=int(k[12])and int(k[8])!=int(k[12]) and int(k[0])+int(k[4])+int(k[8])+int(k[12])==10 and \
    int(k[1])!=int(k[5])and int(k[1])!=int(k[9])and int(k[1])!=int(k[13]) and int(k[5])!=int(k[9]) and int(k[5])!=int(k[13])and int(k[9])!=int(k[13])  and int(k[1])+int(k[5])+int(k[9])+int(k[13])==10 and \
    int(k[2])!=int(k[6])and int(k[2])!=int(k[10])and int(k[2])!=int(k[14]) and int(k[6])!=int(k[10]) and int(k[6])!=int(k[14])and int(k[10])!=int(k[14]) and int(k[2])+int(k[6])+int(k[10])+int(k[14])==10 and\
    int(k[3])!=int(k[7])and int(k[3])!=int(k[11])and int(k[3])!=int(k[15]) and int(k[7])!=int(k[11]) and int(k[7])!=int(k[15])and int(k[11])!=int(k[15])  and int(k[3])+int(k[7])+int(k[11])+int(k[15])==10:
        
        z.append(k)

# print(z)
# print(len(z))

# 12种基础样式
basis=[]
for hh in z:
    print(hh)
    basis.append(hh)
# print(basis)
# print(len(basis))   # 576种基础样式

# [1, 2, 3, 4, 2, 1, 4, 3, 3, 4, 1, 2, 4, 3, 2, 1]
# [1, 2, 3, 4, 2, 1, 4, 3, 3, 4, 2, 1, 4, 3, 1, 2]
# [1, 2, 3, 4, 2, 1, 4, 3, 4, 3, 1, 2, 3, 4, 2, 1]
# [1, 2, 3, 4, 2, 1, 4, 3, 4, 3, 2, 1, 3, 4, 1, 2]
# [1, 2, 3, 4, 2, 3, 4, 1, 3, 4, 1, 2, 4, 1, 2, 3]
# [1, 2, 3, 4, 2, 3, 4, 1, 4, 1, 2, 3, 3, 4, 1, 2]
# [1, 2, 3, 4, 2, 4, 1, 3, 3, 1, 4, 2, 4, 3, 2, 1]
# [1, 2, 3, 4, 2, 4, 1, 3, 4, 3, 2, 1, 3, 1, 4, 2]
# [1, 2, 3, 4, 3, 1, 4, 2, 2, 4, 1, 3, 4, 3, 2, 1]
# [1, 2, 3, 4, 3, 1, 4, 2, 4, 3, 2, 1, 2, 4, 1, 3]
# [1, 2, 3, 4, 3, 4, 1, 2, 2, 1, 4, 3, 4, 3, 2, 1]
# [1, 2, 3, 4, 3, 4, 1, 2, 2, 3, 4, 1, 4, 1, 2, 3]
# [1, 2, 3, 4, 3, 4, 1, 2, 4, 1, 2, 3, 2, 3, 4, 1]
# [1, 2, 3, 4, 3, 4, 1, 2, 4, 3, 2, 1, 2, 1, 4, 3]
# [1, 2, 3, 4, 3, 4, 2, 1, 2, 1, 4, 3, 4, 3, 1, 2]
# [1, 2, 3, 4, 3, 4, 2, 1, 4, 3, 1, 2, 2, 1, 4, 3]
# [1, 2, 3, 4, 4, 1, 2, 3, 2, 3, 4, 1, 3, 4, 1, 2]
# [1, 2, 3, 4, 4, 1, 2, 3, 3, 4, 1, 2, 2, 3, 4, 1]
# [1, 2, 3, 4, 4, 3, 1, 2, 2, 1, 4, 3, 3, 4, 2, 1]
# [1, 2, 3, 4, 4, 3, 1, 2, 3, 4, 2, 1, 2, 1, 4, 3]
# [1, 2, 3, 4, 4, 3, 2, 1, 2, 1, 4, 3, 3, 4, 1, 2]
# [1, 2, 3, 4, 4, 3, 2, 1, 2, 4, 1, 3, 3, 1, 4, 2]
# [1, 2, 3, 4, 4, 3, 2, 1, 3, 1, 4, 2, 2, 4, 1, 3]
# [1, 2, 3, 4, 4, 3, 2, 1, 3, 4, 1, 2, 2, 1, 4, 3]
# [1, 2, 4, 3, 2, 1, 3, 4, 3, 4, 1, 2, 4, 3, 2, 1]
# [1, 2, 4, 3, 2, 1, 3, 4, 3, 4, 2, 1, 4, 3, 1, 2]
# [1, 2, 4, 3, 2, 1, 3, 4, 4, 3, 1, 2, 3, 4, 2, 1]
# [1, 2, 4, 3, 2, 1, 3, 4, 4, 3, 2, 1, 3, 4, 1, 2]
# [1, 2, 4, 3, 2, 3, 1, 4, 3, 4, 2, 1, 4, 1, 3, 2]
# [1, 2, 4, 3, 2, 3, 1, 4, 4, 1, 3, 2, 3, 4, 2, 1]
# [1, 2, 4, 3, 2, 4, 3, 1, 3, 1, 2, 4, 4, 3, 1, 2]
# [1, 2, 4, 3, 2, 4, 3, 1, 4, 3, 1, 2, 3, 1, 2, 4]
# [1, 2, 4, 3, 3, 1, 2, 4, 2, 4, 3, 1, 4, 3, 1, 2]
# [1, 2, 4, 3, 3, 1, 2, 4, 4, 3, 1, 2, 2, 4, 3, 1]
# [1, 2, 4, 3, 3, 4, 1, 2, 2, 1, 3, 4, 4, 3, 2, 1]
# [1, 2, 4, 3, 3, 4, 1, 2, 4, 3, 2, 1, 2, 1, 3, 4]
# [1, 2, 4, 3, 3, 4, 2, 1, 2, 1, 3, 4, 4, 3, 1, 2]
# [1, 2, 4, 3, 3, 4, 2, 1, 2, 3, 1, 4, 4, 1, 3, 2]
# [1, 2, 4, 3, 3, 4, 2, 1, 4, 1, 3, 2, 2, 3, 1, 4]
# [1, 2, 4, 3, 3, 4, 2, 1, 4, 3, 1, 2, 2, 1, 3, 4]
# [1, 2, 4, 3, 4, 1, 3, 2, 2, 3, 1, 4, 3, 4, 2, 1]
# [1, 2, 4, 3, 4, 1, 3, 2, 3, 4, 2, 1, 2, 3, 1, 4]
# [1, 2, 4, 3, 4, 3, 1, 2, 2, 1, 3, 4, 3, 4, 2, 1]
# [1, 2, 4, 3, 4, 3, 1, 2, 2, 4, 3, 1, 3, 1, 2, 4]
# [1, 2, 4, 3, 4, 3, 1, 2, 3, 1, 2, 4, 2, 4, 3, 1]
# [1, 2, 4, 3, 4, 3, 1, 2, 3, 4, 2, 1, 2, 1, 3, 4]
# [1, 2, 4, 3, 4, 3, 2, 1, 2, 1, 3, 4, 3, 4, 1, 2]
# [1, 2, 4, 3, 4, 3, 2, 1, 3, 4, 1, 2, 2, 1, 3, 4]
# [1, 3, 2, 4, 2, 1, 4, 3, 3, 4, 1, 2, 4, 2, 3, 1]
# [1, 3, 2, 4, 2, 1, 4, 3, 4, 2, 3, 1, 3, 4, 1, 2]
# [1, 3, 2, 4, 2, 4, 1, 3, 3, 1, 4, 2, 4, 2, 3, 1]
# [1, 3, 2, 4, 2, 4, 1, 3, 3, 2, 4, 1, 4, 1, 3, 2]
# [1, 3, 2, 4, 2, 4, 1, 3, 4, 1, 3, 2, 3, 2, 4, 1]
# [1, 3, 2, 4, 2, 4, 1, 3, 4, 2, 3, 1, 3, 1, 4, 2]
# [1, 3, 2, 4, 2, 4, 3, 1, 3, 1, 4, 2, 4, 2, 1, 3]
# [1, 3, 2, 4, 2, 4, 3, 1, 4, 2, 1, 3, 3, 1, 4, 2]
# [1, 3, 2, 4, 3, 1, 4, 2, 2, 4, 1, 3, 4, 2, 3, 1]
# [1, 3, 2, 4, 3, 1, 4, 2, 2, 4, 3, 1, 4, 2, 1, 3]
# [1, 3, 2, 4, 3, 1, 4, 2, 4, 2, 1, 3, 2, 4, 3, 1]
# [1, 3, 2, 4, 3, 1, 4, 2, 4, 2, 3, 1, 2, 4, 1, 3]
# [1, 3, 2, 4, 3, 2, 4, 1, 2, 4, 1, 3, 4, 1, 3, 2]
# [1, 3, 2, 4, 3, 2, 4, 1, 4, 1, 3, 2, 2, 4, 1, 3]
# [1, 3, 2, 4, 3, 4, 1, 2, 2, 1, 4, 3, 4, 2, 3, 1]
# [1, 3, 2, 4, 3, 4, 1, 2, 4, 2, 3, 1, 2, 1, 4, 3]
# [1, 3, 2, 4, 4, 1, 3, 2, 2, 4, 1, 3, 3, 2, 4, 1]
# [1, 3, 2, 4, 4, 1, 3, 2, 3, 2, 4, 1, 2, 4, 1, 3]
# [1, 3, 2, 4, 4, 2, 1, 3, 2, 4, 3, 1, 3, 1, 4, 2]
# [1, 3, 2, 4, 4, 2, 1, 3, 3, 1, 4, 2, 2, 4, 3, 1]
# [1, 3, 2, 4, 4, 2, 3, 1, 2, 1, 4, 3, 3, 4, 1, 2]
# [1, 3, 2, 4, 4, 2, 3, 1, 2, 4, 1, 3, 3, 1, 4, 2]
# [1, 3, 2, 4, 4, 2, 3, 1, 3, 1, 4, 2, 2, 4, 1, 3]
# [1, 3, 2, 4, 4, 2, 3, 1, 3, 4, 1, 2, 2, 1, 4, 3]
# [1, 3, 4, 2, 2, 1, 3, 4, 3, 4, 2, 1, 4, 2, 1, 3]
# [1, 3, 4, 2, 2, 1, 3, 4, 4, 2, 1, 3, 3, 4, 2, 1]
# [1, 3, 4, 2, 2, 4, 1, 3, 3, 1, 2, 4, 4, 2, 3, 1]
# [1, 3, 4, 2, 2, 4, 1, 3, 4, 2, 3, 1, 3, 1, 2, 4]
# [1, 3, 4, 2, 2, 4, 3, 1, 3, 1, 2, 4, 4, 2, 1, 3]
# [1, 3, 4, 2, 2, 4, 3, 1, 3, 2, 1, 4, 4, 1, 2, 3]
# [1, 3, 4, 2, 2, 4, 3, 1, 4, 1, 2, 3, 3, 2, 1, 4]
# [1, 3, 4, 2, 2, 4, 3, 1, 4, 2, 1, 3, 3, 1, 2, 4]
# [1, 3, 4, 2, 3, 1, 2, 4, 2, 4, 1, 3, 4, 2, 3, 1]
# [1, 3, 4, 2, 3, 1, 2, 4, 2, 4, 3, 1, 4, 2, 1, 3]
# [1, 3, 4, 2, 3, 1, 2, 4, 4, 2, 1, 3, 2, 4, 3, 1]
# [1, 3, 4, 2, 3, 1, 2, 4, 4, 2, 3, 1, 2, 4, 1, 3]
# [1, 3, 4, 2, 3, 2, 1, 4, 2, 4, 3, 1, 4, 1, 2, 3]
# [1, 3, 4, 2, 3, 2, 1, 4, 4, 1, 2, 3, 2, 4, 3, 1]
# [1, 3, 4, 2, 3, 4, 2, 1, 2, 1, 3, 4, 4, 2, 1, 3]
# [1, 3, 4, 2, 3, 4, 2, 1, 4, 2, 1, 3, 2, 1, 3, 4]
# [1, 3, 4, 2, 4, 1, 2, 3, 2, 4, 3, 1, 3, 2, 1, 4]
# [1, 3, 4, 2, 4, 1, 2, 3, 3, 2, 1, 4, 2, 4, 3, 1]
# [1, 3, 4, 2, 4, 2, 1, 3, 2, 1, 3, 4, 3, 4, 2, 1]
# [1, 3, 4, 2, 4, 2, 1, 3, 2, 4, 3, 1, 3, 1, 2, 4]
# [1, 3, 4, 2, 4, 2, 1, 3, 3, 1, 2, 4, 2, 4, 3, 1]
# [1, 3, 4, 2, 4, 2, 1, 3, 3, 4, 2, 1, 2, 1, 3, 4]
# [1, 3, 4, 2, 4, 2, 3, 1, 2, 4, 1, 3, 3, 1, 2, 4]
# [1, 3, 4, 2, 4, 2, 3, 1, 3, 1, 2, 4, 2, 4, 1, 3]
# [1, 4, 2, 3, 2, 1, 3, 4, 3, 2, 4, 1, 4, 3, 1, 2]
# [1, 4, 2, 3, 2, 1, 3, 4, 4, 3, 1, 2, 3, 2, 4, 1]
# [1, 4, 2, 3, 2, 3, 1, 4, 3, 1, 4, 2, 4, 2, 3, 1]
# [1, 4, 2, 3, 2, 3, 1, 4, 3, 2, 4, 1, 4, 1, 3, 2]
# [1, 4, 2, 3, 2, 3, 1, 4, 4, 1, 3, 2, 3, 2, 4, 1]
# [1, 4, 2, 3, 2, 3, 1, 4, 4, 2, 3, 1, 3, 1, 4, 2]
# [1, 4, 2, 3, 2, 3, 4, 1, 3, 2, 1, 4, 4, 1, 3, 2]
# [1, 4, 2, 3, 2, 3, 4, 1, 4, 1, 3, 2, 3, 2, 1, 4]
# [1, 4, 2, 3, 3, 1, 4, 2, 2, 3, 1, 4, 4, 2, 3, 1]
# [1, 4, 2, 3, 3, 1, 4, 2, 4, 2, 3, 1, 2, 3, 1, 4]
# [1, 4, 2, 3, 3, 2, 1, 4, 2, 3, 4, 1, 4, 1, 3, 2]
# [1, 4, 2, 3, 3, 2, 1, 4, 4, 1, 3, 2, 2, 3, 4, 1]
# [1, 4, 2, 3, 3, 2, 4, 1, 2, 1, 3, 4, 4, 3, 1, 2]
# [1, 4, 2, 3, 3, 2, 4, 1, 2, 3, 1, 4, 4, 1, 3, 2]
# [1, 4, 2, 3, 3, 2, 4, 1, 4, 1, 3, 2, 2, 3, 1, 4]
# [1, 4, 2, 3, 3, 2, 4, 1, 4, 3, 1, 2, 2, 1, 3, 4]
# [1, 4, 2, 3, 4, 1, 3, 2, 2, 3, 1, 4, 3, 2, 4, 1]
# [1, 4, 2, 3, 4, 1, 3, 2, 2, 3, 4, 1, 3, 2, 1, 4]
# [1, 4, 2, 3, 4, 1, 3, 2, 3, 2, 1, 4, 2, 3, 4, 1]
# [1, 4, 2, 3, 4, 1, 3, 2, 3, 2, 4, 1, 2, 3, 1, 4]
# [1, 4, 2, 3, 4, 2, 3, 1, 2, 3, 1, 4, 3, 1, 4, 2]
# [1, 4, 2, 3, 4, 2, 3, 1, 3, 1, 4, 2, 2, 3, 1, 4]
# [1, 4, 2, 3, 4, 3, 1, 2, 2, 1, 3, 4, 3, 2, 4, 1]
# [1, 4, 2, 3, 4, 3, 1, 2, 3, 2, 4, 1, 2, 1, 3, 4]
# [1, 4, 3, 2, 2, 1, 4, 3, 3, 2, 1, 4, 4, 3, 2, 1]
# [1, 4, 3, 2, 2, 1, 4, 3, 4, 3, 2, 1, 3, 2, 1, 4]
# [1, 4, 3, 2, 2, 3, 1, 4, 3, 2, 4, 1, 4, 1, 2, 3]
# [1, 4, 3, 2, 2, 3, 1, 4, 4, 1, 2, 3, 3, 2, 4, 1]
# [1, 4, 3, 2, 2, 3, 4, 1, 3, 1, 2, 4, 4, 2, 1, 3]
# [1, 4, 3, 2, 2, 3, 4, 1, 3, 2, 1, 4, 4, 1, 2, 3]
# [1, 4, 3, 2, 2, 3, 4, 1, 4, 1, 2, 3, 3, 2, 1, 4]
# [1, 4, 3, 2, 2, 3, 4, 1, 4, 2, 1, 3, 3, 1, 2, 4]
# [1, 4, 3, 2, 3, 1, 2, 4, 2, 3, 4, 1, 4, 2, 1, 3]
# [1, 4, 3, 2, 3, 1, 2, 4, 4, 2, 1, 3, 2, 3, 4, 1]
# [1, 4, 3, 2, 3, 2, 1, 4, 2, 1, 4, 3, 4, 3, 2, 1]
# [1, 4, 3, 2, 3, 2, 1, 4, 2, 3, 4, 1, 4, 1, 2, 3]
# [1, 4, 3, 2, 3, 2, 1, 4, 4, 1, 2, 3, 2, 3, 4, 1]
# [1, 4, 3, 2, 3, 2, 1, 4, 4, 3, 2, 1, 2, 1, 4, 3]
# [1, 4, 3, 2, 3, 2, 4, 1, 2, 3, 1, 4, 4, 1, 2, 3]
# [1, 4, 3, 2, 3, 2, 4, 1, 4, 1, 2, 3, 2, 3, 1, 4]
# [1, 4, 3, 2, 4, 1, 2, 3, 2, 3, 1, 4, 3, 2, 4, 1]
# [1, 4, 3, 2, 4, 1, 2, 3, 2, 3, 4, 1, 3, 2, 1, 4]
# [1, 4, 3, 2, 4, 1, 2, 3, 3, 2, 1, 4, 2, 3, 4, 1]
# [1, 4, 3, 2, 4, 1, 2, 3, 3, 2, 4, 1, 2, 3, 1, 4]
# [1, 4, 3, 2, 4, 2, 1, 3, 2, 3, 4, 1, 3, 1, 2, 4]
# [1, 4, 3, 2, 4, 2, 1, 3, 3, 1, 2, 4, 2, 3, 4, 1]
# [1, 4, 3, 2, 4, 3, 2, 1, 2, 1, 4, 3, 3, 2, 1, 4]
# [1, 4, 3, 2, 4, 3, 2, 1, 3, 2, 1, 4, 2, 1, 4, 3]
# [2, 1, 3, 4, 1, 2, 4, 3, 3, 4, 1, 2, 4, 3, 2, 1]
# [2, 1, 3, 4, 1, 2, 4, 3, 3, 4, 2, 1, 4, 3, 1, 2]
# [2, 1, 3, 4, 1, 2, 4, 3, 4, 3, 1, 2, 3, 4, 2, 1]
# [2, 1, 3, 4, 1, 2, 4, 3, 4, 3, 2, 1, 3, 4, 1, 2]
# [2, 1, 3, 4, 1, 3, 4, 2, 3, 4, 2, 1, 4, 2, 1, 3]
# [2, 1, 3, 4, 1, 3, 4, 2, 4, 2, 1, 3, 3, 4, 2, 1]
# [2, 1, 3, 4, 1, 4, 2, 3, 3, 2, 4, 1, 4, 3, 1, 2]
# [2, 1, 3, 4, 1, 4, 2, 3, 4, 3, 1, 2, 3, 2, 4, 1]
# [2, 1, 3, 4, 3, 2, 4, 1, 1, 4, 2, 3, 4, 3, 1, 2]
# [2, 1, 3, 4, 3, 2, 4, 1, 4, 3, 1, 2, 1, 4, 2, 3]
# [2, 1, 3, 4, 3, 4, 1, 2, 1, 2, 4, 3, 4, 3, 2, 1]
# [2, 1, 3, 4, 3, 4, 1, 2, 4, 3, 2, 1, 1, 2, 4, 3]
# [2, 1, 3, 4, 3, 4, 2, 1, 1, 2, 4, 3, 4, 3, 1, 2]
# [2, 1, 3, 4, 3, 4, 2, 1, 1, 3, 4, 2, 4, 2, 1, 3]
# [2, 1, 3, 4, 3, 4, 2, 1, 4, 2, 1, 3, 1, 3, 4, 2]
# [2, 1, 3, 4, 3, 4, 2, 1, 4, 3, 1, 2, 1, 2, 4, 3]
# [2, 1, 3, 4, 4, 2, 1, 3, 1, 3, 4, 2, 3, 4, 2, 1]
# [2, 1, 3, 4, 4, 2, 1, 3, 3, 4, 2, 1, 1, 3, 4, 2]
# [2, 1, 3, 4, 4, 3, 1, 2, 1, 2, 4, 3, 3, 4, 2, 1]
# [2, 1, 3, 4, 4, 3, 1, 2, 1, 4, 2, 3, 3, 2, 4, 1]
# [2, 1, 3, 4, 4, 3, 1, 2, 3, 2, 4, 1, 1, 4, 2, 3]
# [2, 1, 3, 4, 4, 3, 1, 2, 3, 4, 2, 1, 1, 2, 4, 3]
# [2, 1, 3, 4, 4, 3, 2, 1, 1, 2, 4, 3, 3, 4, 1, 2]
# [2, 1, 3, 4, 4, 3, 2, 1, 3, 4, 1, 2, 1, 2, 4, 3]
# [2, 1, 4, 3, 1, 2, 3, 4, 3, 4, 1, 2, 4, 3, 2, 1]
# [2, 1, 4, 3, 1, 2, 3, 4, 3, 4, 2, 1, 4, 3, 1, 2]
# [2, 1, 4, 3, 1, 2, 3, 4, 4, 3, 1, 2, 3, 4, 2, 1]
# [2, 1, 4, 3, 1, 2, 3, 4, 4, 3, 2, 1, 3, 4, 1, 2]
# [2, 1, 4, 3, 1, 3, 2, 4, 3, 4, 1, 2, 4, 2, 3, 1]
# [2, 1, 4, 3, 1, 3, 2, 4, 4, 2, 3, 1, 3, 4, 1, 2]
# [2, 1, 4, 3, 1, 4, 3, 2, 3, 2, 1, 4, 4, 3, 2, 1]
# [2, 1, 4, 3, 1, 4, 3, 2, 4, 3, 2, 1, 3, 2, 1, 4]
# [2, 1, 4, 3, 3, 2, 1, 4, 1, 4, 3, 2, 4, 3, 2, 1]
# [2, 1, 4, 3, 3, 2, 1, 4, 4, 3, 2, 1, 1, 4, 3, 2]
# [2, 1, 4, 3, 3, 4, 1, 2, 1, 2, 3, 4, 4, 3, 2, 1]
# [2, 1, 4, 3, 3, 4, 1, 2, 1, 3, 2, 4, 4, 2, 3, 1]
# [2, 1, 4, 3, 3, 4, 1, 2, 4, 2, 3, 1, 1, 3, 2, 4]
# [2, 1, 4, 3, 3, 4, 1, 2, 4, 3, 2, 1, 1, 2, 3, 4]
# [2, 1, 4, 3, 3, 4, 2, 1, 1, 2, 3, 4, 4, 3, 1, 2]
# [2, 1, 4, 3, 3, 4, 2, 1, 4, 3, 1, 2, 1, 2, 3, 4]
# [2, 1, 4, 3, 4, 2, 3, 1, 1, 3, 2, 4, 3, 4, 1, 2]
# [2, 1, 4, 3, 4, 2, 3, 1, 3, 4, 1, 2, 1, 3, 2, 4]
# [2, 1, 4, 3, 4, 3, 1, 2, 1, 2, 3, 4, 3, 4, 2, 1]
# [2, 1, 4, 3, 4, 3, 1, 2, 3, 4, 2, 1, 1, 2, 3, 4]
# [2, 1, 4, 3, 4, 3, 2, 1, 1, 2, 3, 4, 3, 4, 1, 2]
# [2, 1, 4, 3, 4, 3, 2, 1, 1, 4, 3, 2, 3, 2, 1, 4]
# [2, 1, 4, 3, 4, 3, 2, 1, 3, 2, 1, 4, 1, 4, 3, 2]
# [2, 1, 4, 3, 4, 3, 2, 1, 3, 4, 1, 2, 1, 2, 3, 4]
# [2, 3, 1, 4, 1, 2, 4, 3, 3, 4, 2, 1, 4, 1, 3, 2]
# [2, 3, 1, 4, 1, 2, 4, 3, 4, 1, 3, 2, 3, 4, 2, 1]
# [2, 3, 1, 4, 1, 4, 2, 3, 3, 1, 4, 2, 4, 2, 3, 1]
# [2, 3, 1, 4, 1, 4, 2, 3, 3, 2, 4, 1, 4, 1, 3, 2]
# [2, 3, 1, 4, 1, 4, 2, 3, 4, 1, 3, 2, 3, 2, 4, 1]
# [2, 3, 1, 4, 1, 4, 2, 3, 4, 2, 3, 1, 3, 1, 4, 2]
# [2, 3, 1, 4, 1, 4, 3, 2, 3, 2, 4, 1, 4, 1, 2, 3]
# [2, 3, 1, 4, 1, 4, 3, 2, 4, 1, 2, 3, 3, 2, 4, 1]
# [2, 3, 1, 4, 3, 1, 4, 2, 1, 4, 2, 3, 4, 2, 3, 1]
# [2, 3, 1, 4, 3, 1, 4, 2, 4, 2, 3, 1, 1, 4, 2, 3]
# [2, 3, 1, 4, 3, 2, 4, 1, 1, 4, 2, 3, 4, 1, 3, 2]
# [2, 3, 1, 4, 3, 2, 4, 1, 1, 4, 3, 2, 4, 1, 2, 3]
# [2, 3, 1, 4, 3, 2, 4, 1, 4, 1, 2, 3, 1, 4, 3, 2]
# [2, 3, 1, 4, 3, 2, 4, 1, 4, 1, 3, 2, 1, 4, 2, 3]
# [2, 3, 1, 4, 3, 4, 2, 1, 1, 2, 4, 3, 4, 1, 3, 2]
# [2, 3, 1, 4, 3, 4, 2, 1, 4, 1, 3, 2, 1, 2, 4, 3]
# [2, 3, 1, 4, 4, 1, 2, 3, 1, 4, 3, 2, 3, 2, 4, 1]
# [2, 3, 1, 4, 4, 1, 2, 3, 3, 2, 4, 1, 1, 4, 3, 2]
# [2, 3, 1, 4, 4, 1, 3, 2, 1, 2, 4, 3, 3, 4, 2, 1]
# [2, 3, 1, 4, 4, 1, 3, 2, 1, 4, 2, 3, 3, 2, 4, 1]
# [2, 3, 1, 4, 4, 1, 3, 2, 3, 2, 4, 1, 1, 4, 2, 3]
# [2, 3, 1, 4, 4, 1, 3, 2, 3, 4, 2, 1, 1, 2, 4, 3]
# [2, 3, 1, 4, 4, 2, 3, 1, 1, 4, 2, 3, 3, 1, 4, 2]
# [2, 3, 1, 4, 4, 2, 3, 1, 3, 1, 4, 2, 1, 4, 2, 3]
# [2, 3, 4, 1, 1, 2, 3, 4, 3, 4, 1, 2, 4, 1, 2, 3]
# [2, 3, 4, 1, 1, 2, 3, 4, 4, 1, 2, 3, 3, 4, 1, 2]
# [2, 3, 4, 1, 1, 4, 2, 3, 3, 2, 1, 4, 4, 1, 3, 2]
# [2, 3, 4, 1, 1, 4, 2, 3, 4, 1, 3, 2, 3, 2, 1, 4]
# [2, 3, 4, 1, 1, 4, 3, 2, 3, 1, 2, 4, 4, 2, 1, 3]
# [2, 3, 4, 1, 1, 4, 3, 2, 3, 2, 1, 4, 4, 1, 2, 3]
# [2, 3, 4, 1, 1, 4, 3, 2, 4, 1, 2, 3, 3, 2, 1, 4]
# [2, 3, 4, 1, 1, 4, 3, 2, 4, 2, 1, 3, 3, 1, 2, 4]
# [2, 3, 4, 1, 3, 1, 2, 4, 1, 4, 3, 2, 4, 2, 1, 3]
# [2, 3, 4, 1, 3, 1, 2, 4, 4, 2, 1, 3, 1, 4, 3, 2]
# [2, 3, 4, 1, 3, 2, 1, 4, 1, 4, 2, 3, 4, 1, 3, 2]
# [2, 3, 4, 1, 3, 2, 1, 4, 1, 4, 3, 2, 4, 1, 2, 3]
# [2, 3, 4, 1, 3, 2, 1, 4, 4, 1, 2, 3, 1, 4, 3, 2]
# [2, 3, 4, 1, 3, 2, 1, 4, 4, 1, 3, 2, 1, 4, 2, 3]
# [2, 3, 4, 1, 3, 4, 1, 2, 1, 2, 3, 4, 4, 1, 2, 3]
# [2, 3, 4, 1, 3, 4, 1, 2, 4, 1, 2, 3, 1, 2, 3, 4]
# [2, 3, 4, 1, 4, 1, 2, 3, 1, 2, 3, 4, 3, 4, 1, 2]
# [2, 3, 4, 1, 4, 1, 2, 3, 1, 4, 3, 2, 3, 2, 1, 4]
# [2, 3, 4, 1, 4, 1, 2, 3, 3, 2, 1, 4, 1, 4, 3, 2]
# [2, 3, 4, 1, 4, 1, 2, 3, 3, 4, 1, 2, 1, 2, 3, 4]
# [2, 3, 4, 1, 4, 1, 3, 2, 1, 4, 2, 3, 3, 2, 1, 4]
# [2, 3, 4, 1, 4, 1, 3, 2, 3, 2, 1, 4, 1, 4, 2, 3]
# [2, 3, 4, 1, 4, 2, 1, 3, 1, 4, 3, 2, 3, 1, 2, 4]
# [2, 3, 4, 1, 4, 2, 1, 3, 3, 1, 2, 4, 1, 4, 3, 2]
# [2, 4, 1, 3, 1, 2, 3, 4, 3, 1, 4, 2, 4, 3, 2, 1]
# [2, 4, 1, 3, 1, 2, 3, 4, 4, 3, 2, 1, 3, 1, 4, 2]
# [2, 4, 1, 3, 1, 3, 2, 4, 3, 1, 4, 2, 4, 2, 3, 1]
# [2, 4, 1, 3, 1, 3, 2, 4, 3, 2, 4, 1, 4, 1, 3, 2]
# [2, 4, 1, 3, 1, 3, 2, 4, 4, 1, 3, 2, 3, 2, 4, 1]
# [2, 4, 1, 3, 1, 3, 2, 4, 4, 2, 3, 1, 3, 1, 4, 2]
# [2, 4, 1, 3, 1, 3, 4, 2, 3, 1, 2, 4, 4, 2, 3, 1]
# [2, 4, 1, 3, 1, 3, 4, 2, 4, 2, 3, 1, 3, 1, 2, 4]
# [2, 4, 1, 3, 3, 1, 2, 4, 1, 3, 4, 2, 4, 2, 3, 1]
# [2, 4, 1, 3, 3, 1, 2, 4, 4, 2, 3, 1, 1, 3, 4, 2]
# [2, 4, 1, 3, 3, 1, 4, 2, 1, 2, 3, 4, 4, 3, 2, 1]
# [2, 4, 1, 3, 3, 1, 4, 2, 1, 3, 2, 4, 4, 2, 3, 1]
# [2, 4, 1, 3, 3, 1, 4, 2, 4, 2, 3, 1, 1, 3, 2, 4]
# [2, 4, 1, 3, 3, 1, 4, 2, 4, 3, 2, 1, 1, 2, 3, 4]
# [2, 4, 1, 3, 3, 2, 4, 1, 1, 3, 2, 4, 4, 1, 3, 2]
# [2, 4, 1, 3, 3, 2, 4, 1, 4, 1, 3, 2, 1, 3, 2, 4]
# [2, 4, 1, 3, 4, 1, 3, 2, 1, 3, 2, 4, 3, 2, 4, 1]
# [2, 4, 1, 3, 4, 1, 3, 2, 3, 2, 4, 1, 1, 3, 2, 4]
# [2, 4, 1, 3, 4, 2, 3, 1, 1, 3, 2, 4, 3, 1, 4, 2]
# [2, 4, 1, 3, 4, 2, 3, 1, 1, 3, 4, 2, 3, 1, 2, 4]
# [2, 4, 1, 3, 4, 2, 3, 1, 3, 1, 2, 4, 1, 3, 4, 2]
# [2, 4, 1, 3, 4, 2, 3, 1, 3, 1, 4, 2, 1, 3, 2, 4]
# [2, 4, 1, 3, 4, 3, 2, 1, 1, 2, 3, 4, 3, 1, 4, 2]
# [2, 4, 1, 3, 4, 3, 2, 1, 3, 1, 4, 2, 1, 2, 3, 4]
# [2, 4, 3, 1, 1, 2, 4, 3, 3, 1, 2, 4, 4, 3, 1, 2]
# [2, 4, 3, 1, 1, 2, 4, 3, 4, 3, 1, 2, 3, 1, 2, 4]
# [2, 4, 3, 1, 1, 3, 2, 4, 3, 1, 4, 2, 4, 2, 1, 3]
# [2, 4, 3, 1, 1, 3, 2, 4, 4, 2, 1, 3, 3, 1, 4, 2]
# [2, 4, 3, 1, 1, 3, 4, 2, 3, 1, 2, 4, 4, 2, 1, 3]
# [2, 4, 3, 1, 1, 3, 4, 2, 3, 2, 1, 4, 4, 1, 2, 3]
# [2, 4, 3, 1, 1, 3, 4, 2, 4, 1, 2, 3, 3, 2, 1, 4]
# [2, 4, 3, 1, 1, 3, 4, 2, 4, 2, 1, 3, 3, 1, 2, 4]
# [2, 4, 3, 1, 3, 1, 2, 4, 1, 2, 4, 3, 4, 3, 1, 2]
# [2, 4, 3, 1, 3, 1, 2, 4, 1, 3, 4, 2, 4, 2, 1, 3]
# [2, 4, 3, 1, 3, 1, 2, 4, 4, 2, 1, 3, 1, 3, 4, 2]
# [2, 4, 3, 1, 3, 1, 2, 4, 4, 3, 1, 2, 1, 2, 4, 3]
# [2, 4, 3, 1, 3, 1, 4, 2, 1, 3, 2, 4, 4, 2, 1, 3]
# [2, 4, 3, 1, 3, 1, 4, 2, 4, 2, 1, 3, 1, 3, 2, 4]
# [2, 4, 3, 1, 3, 2, 1, 4, 1, 3, 4, 2, 4, 1, 2, 3]
# [2, 4, 3, 1, 3, 2, 1, 4, 4, 1, 2, 3, 1, 3, 4, 2]
# [2, 4, 3, 1, 4, 1, 2, 3, 1, 3, 4, 2, 3, 2, 1, 4]
# [2, 4, 3, 1, 4, 1, 2, 3, 3, 2, 1, 4, 1, 3, 4, 2]
# [2, 4, 3, 1, 4, 2, 1, 3, 1, 3, 2, 4, 3, 1, 4, 2]
# [2, 4, 3, 1, 4, 2, 1, 3, 1, 3, 4, 2, 3, 1, 2, 4]
# [2, 4, 3, 1, 4, 2, 1, 3, 3, 1, 2, 4, 1, 3, 4, 2]
# [2, 4, 3, 1, 4, 2, 1, 3, 3, 1, 4, 2, 1, 3, 2, 4]
# [2, 4, 3, 1, 4, 3, 1, 2, 1, 2, 4, 3, 3, 1, 2, 4]
# [2, 4, 3, 1, 4, 3, 1, 2, 3, 1, 2, 4, 1, 2, 4, 3]
# [3, 1, 2, 4, 1, 2, 4, 3, 2, 4, 3, 1, 4, 3, 1, 2]
# [3, 1, 2, 4, 1, 2, 4, 3, 4, 3, 1, 2, 2, 4, 3, 1]
# [3, 1, 2, 4, 1, 3, 4, 2, 2, 4, 1, 3, 4, 2, 3, 1]
# [3, 1, 2, 4, 1, 3, 4, 2, 2, 4, 3, 1, 4, 2, 1, 3]
# [3, 1, 2, 4, 1, 3, 4, 2, 4, 2, 1, 3, 2, 4, 3, 1]
# [3, 1, 2, 4, 1, 3, 4, 2, 4, 2, 3, 1, 2, 4, 1, 3]
# [3, 1, 2, 4, 1, 4, 3, 2, 2, 3, 4, 1, 4, 2, 1, 3]
# [3, 1, 2, 4, 1, 4, 3, 2, 4, 2, 1, 3, 2, 3, 4, 1]
# [3, 1, 2, 4, 2, 3, 4, 1, 1, 4, 3, 2, 4, 2, 1, 3]
# [3, 1, 2, 4, 2, 3, 4, 1, 4, 2, 1, 3, 1, 4, 3, 2]
# [3, 1, 2, 4, 2, 4, 1, 3, 1, 3, 4, 2, 4, 2, 3, 1]
# [3, 1, 2, 4, 2, 4, 1, 3, 4, 2, 3, 1, 1, 3, 4, 2]
# [3, 1, 2, 4, 2, 4, 3, 1, 1, 2, 4, 3, 4, 3, 1, 2]
# [3, 1, 2, 4, 2, 4, 3, 1, 1, 3, 4, 2, 4, 2, 1, 3]
# [3, 1, 2, 4, 2, 4, 3, 1, 4, 2, 1, 3, 1, 3, 4, 2]
# [3, 1, 2, 4, 2, 4, 3, 1, 4, 3, 1, 2, 1, 2, 4, 3]
# [3, 1, 2, 4, 4, 2, 1, 3, 1, 3, 4, 2, 2, 4, 3, 1]
# [3, 1, 2, 4, 4, 2, 1, 3, 1, 4, 3, 2, 2, 3, 4, 1]
# [3, 1, 2, 4, 4, 2, 1, 3, 2, 3, 4, 1, 1, 4, 3, 2]
# [3, 1, 2, 4, 4, 2, 1, 3, 2, 4, 3, 1, 1, 3, 4, 2]
# [3, 1, 2, 4, 4, 2, 3, 1, 1, 3, 4, 2, 2, 4, 1, 3]
# [3, 1, 2, 4, 4, 2, 3, 1, 2, 4, 1, 3, 1, 3, 4, 2]
# [3, 1, 2, 4, 4, 3, 1, 2, 1, 2, 4, 3, 2, 4, 3, 1]
# [3, 1, 2, 4, 4, 3, 1, 2, 2, 4, 3, 1, 1, 2, 4, 3]
# [3, 1, 4, 2, 1, 2, 3, 4, 2, 4, 1, 3, 4, 3, 2, 1]
# [3, 1, 4, 2, 1, 2, 3, 4, 4, 3, 2, 1, 2, 4, 1, 3]
# [3, 1, 4, 2, 1, 3, 2, 4, 2, 4, 1, 3, 4, 2, 3, 1]
# [3, 1, 4, 2, 1, 3, 2, 4, 2, 4, 3, 1, 4, 2, 1, 3]
# [3, 1, 4, 2, 1, 3, 2, 4, 4, 2, 1, 3, 2, 4, 3, 1]
# [3, 1, 4, 2, 1, 3, 2, 4, 4, 2, 3, 1, 2, 4, 1, 3]
# [3, 1, 4, 2, 1, 4, 2, 3, 2, 3, 1, 4, 4, 2, 3, 1]
# [3, 1, 4, 2, 1, 4, 2, 3, 4, 2, 3, 1, 2, 3, 1, 4]
# [3, 1, 4, 2, 2, 3, 1, 4, 1, 4, 2, 3, 4, 2, 3, 1]
# [3, 1, 4, 2, 2, 3, 1, 4, 4, 2, 3, 1, 1, 4, 2, 3]
# [3, 1, 4, 2, 2, 4, 1, 3, 1, 2, 3, 4, 4, 3, 2, 1]
# [3, 1, 4, 2, 2, 4, 1, 3, 1, 3, 2, 4, 4, 2, 3, 1]
# [3, 1, 4, 2, 2, 4, 1, 3, 4, 2, 3, 1, 1, 3, 2, 4]
# [3, 1, 4, 2, 2, 4, 1, 3, 4, 3, 2, 1, 1, 2, 3, 4]
# [3, 1, 4, 2, 2, 4, 3, 1, 1, 3, 2, 4, 4, 2, 1, 3]
# [3, 1, 4, 2, 2, 4, 3, 1, 4, 2, 1, 3, 1, 3, 2, 4]
# [3, 1, 4, 2, 4, 2, 1, 3, 1, 3, 2, 4, 2, 4, 3, 1]
# [3, 1, 4, 2, 4, 2, 1, 3, 2, 4, 3, 1, 1, 3, 2, 4]
# [3, 1, 4, 2, 4, 2, 3, 1, 1, 3, 2, 4, 2, 4, 1, 3]
# [3, 1, 4, 2, 4, 2, 3, 1, 1, 4, 2, 3, 2, 3, 1, 4]
# [3, 1, 4, 2, 4, 2, 3, 1, 2, 3, 1, 4, 1, 4, 2, 3]
# [3, 1, 4, 2, 4, 2, 3, 1, 2, 4, 1, 3, 1, 3, 2, 4]
# [3, 1, 4, 2, 4, 3, 2, 1, 1, 2, 3, 4, 2, 4, 1, 3]
# [3, 1, 4, 2, 4, 3, 2, 1, 2, 4, 1, 3, 1, 2, 3, 4]
# [3, 2, 1, 4, 1, 3, 4, 2, 2, 4, 3, 1, 4, 1, 2, 3]
# [3, 2, 1, 4, 1, 3, 4, 2, 4, 1, 2, 3, 2, 4, 3, 1]
# [3, 2, 1, 4, 1, 4, 2, 3, 2, 3, 4, 1, 4, 1, 3, 2]
# [3, 2, 1, 4, 1, 4, 2, 3, 4, 1, 3, 2, 2, 3, 4, 1]
# [3, 2, 1, 4, 1, 4, 3, 2, 2, 1, 4, 3, 4, 3, 2, 1]
# [3, 2, 1, 4, 1, 4, 3, 2, 2, 3, 4, 1, 4, 1, 2, 3]
# [3, 2, 1, 4, 1, 4, 3, 2, 4, 1, 2, 3, 2, 3, 4, 1]
# [3, 2, 1, 4, 1, 4, 3, 2, 4, 3, 2, 1, 2, 1, 4, 3]
# [3, 2, 1, 4, 2, 1, 4, 3, 1, 4, 3, 2, 4, 3, 2, 1]
# [3, 2, 1, 4, 2, 1, 4, 3, 4, 3, 2, 1, 1, 4, 3, 2]
# [3, 2, 1, 4, 2, 3, 4, 1, 1, 4, 2, 3, 4, 1, 3, 2]
# [3, 2, 1, 4, 2, 3, 4, 1, 1, 4, 3, 2, 4, 1, 2, 3]
# [3, 2, 1, 4, 2, 3, 4, 1, 4, 1, 2, 3, 1, 4, 3, 2]
# [3, 2, 1, 4, 2, 3, 4, 1, 4, 1, 3, 2, 1, 4, 2, 3]
# [3, 2, 1, 4, 2, 4, 3, 1, 1, 3, 4, 2, 4, 1, 2, 3]
# [3, 2, 1, 4, 2, 4, 3, 1, 4, 1, 2, 3, 1, 3, 4, 2]
# [3, 2, 1, 4, 4, 1, 2, 3, 1, 3, 4, 2, 2, 4, 3, 1]
# [3, 2, 1, 4, 4, 1, 2, 3, 1, 4, 3, 2, 2, 3, 4, 1]
# [3, 2, 1, 4, 4, 1, 2, 3, 2, 3, 4, 1, 1, 4, 3, 2]
# [3, 2, 1, 4, 4, 1, 2, 3, 2, 4, 3, 1, 1, 3, 4, 2]
# [3, 2, 1, 4, 4, 1, 3, 2, 1, 4, 2, 3, 2, 3, 4, 1]
# [3, 2, 1, 4, 4, 1, 3, 2, 2, 3, 4, 1, 1, 4, 2, 3]
# [3, 2, 1, 4, 4, 3, 2, 1, 1, 4, 3, 2, 2, 1, 4, 3]
# [3, 2, 1, 4, 4, 3, 2, 1, 2, 1, 4, 3, 1, 4, 3, 2]
# [3, 2, 4, 1, 1, 3, 2, 4, 2, 4, 1, 3, 4, 1, 3, 2]
# [3, 2, 4, 1, 1, 3, 2, 4, 4, 1, 3, 2, 2, 4, 1, 3]
# [3, 2, 4, 1, 1, 4, 2, 3, 2, 1, 3, 4, 4, 3, 1, 2]
# [3, 2, 4, 1, 1, 4, 2, 3, 2, 3, 1, 4, 4, 1, 3, 2]
# [3, 2, 4, 1, 1, 4, 2, 3, 4, 1, 3, 2, 2, 3, 1, 4]
# [3, 2, 4, 1, 1, 4, 2, 3, 4, 3, 1, 2, 2, 1, 3, 4]
# [3, 2, 4, 1, 1, 4, 3, 2, 2, 3, 1, 4, 4, 1, 2, 3]
# [3, 2, 4, 1, 1, 4, 3, 2, 4, 1, 2, 3, 2, 3, 1, 4]
# [3, 2, 4, 1, 2, 1, 3, 4, 1, 4, 2, 3, 4, 3, 1, 2]
# [3, 2, 4, 1, 2, 1, 3, 4, 4, 3, 1, 2, 1, 4, 2, 3]
# [3, 2, 4, 1, 2, 3, 1, 4, 1, 4, 2, 3, 4, 1, 3, 2]
# [3, 2, 4, 1, 2, 3, 1, 4, 1, 4, 3, 2, 4, 1, 2, 3]
# [3, 2, 4, 1, 2, 3, 1, 4, 4, 1, 2, 3, 1, 4, 3, 2]
# [3, 2, 4, 1, 2, 3, 1, 4, 4, 1, 3, 2, 1, 4, 2, 3]
# [3, 2, 4, 1, 2, 4, 1, 3, 1, 3, 2, 4, 4, 1, 3, 2]
# [3, 2, 4, 1, 2, 4, 1, 3, 4, 1, 3, 2, 1, 3, 2, 4]
# [3, 2, 4, 1, 4, 1, 2, 3, 1, 4, 3, 2, 2, 3, 1, 4]
# [3, 2, 4, 1, 4, 1, 2, 3, 2, 3, 1, 4, 1, 4, 3, 2]
# [3, 2, 4, 1, 4, 1, 3, 2, 1, 3, 2, 4, 2, 4, 1, 3]
# [3, 2, 4, 1, 4, 1, 3, 2, 1, 4, 2, 3, 2, 3, 1, 4]
# [3, 2, 4, 1, 4, 1, 3, 2, 2, 3, 1, 4, 1, 4, 2, 3]
# [3, 2, 4, 1, 4, 1, 3, 2, 2, 4, 1, 3, 1, 3, 2, 4]
# [3, 2, 4, 1, 4, 3, 1, 2, 1, 4, 2, 3, 2, 1, 3, 4]
# [3, 2, 4, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 4, 2, 3]
# [3, 4, 1, 2, 1, 2, 3, 4, 2, 1, 4, 3, 4, 3, 2, 1]
# [3, 4, 1, 2, 1, 2, 3, 4, 2, 3, 4, 1, 4, 1, 2, 3]
# [3, 4, 1, 2, 1, 2, 3, 4, 4, 1, 2, 3, 2, 3, 4, 1]
# [3, 4, 1, 2, 1, 2, 3, 4, 4, 3, 2, 1, 2, 1, 4, 3]
# [3, 4, 1, 2, 1, 2, 4, 3, 2, 1, 3, 4, 4, 3, 2, 1]
# [3, 4, 1, 2, 1, 2, 4, 3, 4, 3, 2, 1, 2, 1, 3, 4]
# [3, 4, 1, 2, 1, 3, 2, 4, 2, 1, 4, 3, 4, 2, 3, 1]
# [3, 4, 1, 2, 1, 3, 2, 4, 4, 2, 3, 1, 2, 1, 4, 3]
# [3, 4, 1, 2, 2, 1, 3, 4, 1, 2, 4, 3, 4, 3, 2, 1]
# [3, 4, 1, 2, 2, 1, 3, 4, 4, 3, 2, 1, 1, 2, 4, 3]
# [3, 4, 1, 2, 2, 1, 4, 3, 1, 2, 3, 4, 4, 3, 2, 1]
# [3, 4, 1, 2, 2, 1, 4, 3, 1, 3, 2, 4, 4, 2, 3, 1]
# [3, 4, 1, 2, 2, 1, 4, 3, 4, 2, 3, 1, 1, 3, 2, 4]
# [3, 4, 1, 2, 2, 1, 4, 3, 4, 3, 2, 1, 1, 2, 3, 4]
# [3, 4, 1, 2, 2, 3, 4, 1, 1, 2, 3, 4, 4, 1, 2, 3]
# [3, 4, 1, 2, 2, 3, 4, 1, 4, 1, 2, 3, 1, 2, 3, 4]
# [3, 4, 1, 2, 4, 1, 2, 3, 1, 2, 3, 4, 2, 3, 4, 1]
# [3, 4, 1, 2, 4, 1, 2, 3, 2, 3, 4, 1, 1, 2, 3, 4]
# [3, 4, 1, 2, 4, 2, 3, 1, 1, 3, 2, 4, 2, 1, 4, 3]
# [3, 4, 1, 2, 4, 2, 3, 1, 2, 1, 4, 3, 1, 3, 2, 4]
# [3, 4, 1, 2, 4, 3, 2, 1, 1, 2, 3, 4, 2, 1, 4, 3]
# [3, 4, 1, 2, 4, 3, 2, 1, 1, 2, 4, 3, 2, 1, 3, 4]
# [3, 4, 1, 2, 4, 3, 2, 1, 2, 1, 3, 4, 1, 2, 4, 3]
# [3, 4, 1, 2, 4, 3, 2, 1, 2, 1, 4, 3, 1, 2, 3, 4]
# [3, 4, 2, 1, 1, 2, 3, 4, 2, 1, 4, 3, 4, 3, 1, 2]
# [3, 4, 2, 1, 1, 2, 3, 4, 4, 3, 1, 2, 2, 1, 4, 3]
# [3, 4, 2, 1, 1, 2, 4, 3, 2, 1, 3, 4, 4, 3, 1, 2]
# [3, 4, 2, 1, 1, 2, 4, 3, 2, 3, 1, 4, 4, 1, 3, 2]
# [3, 4, 2, 1, 1, 2, 4, 3, 4, 1, 3, 2, 2, 3, 1, 4]
# [3, 4, 2, 1, 1, 2, 4, 3, 4, 3, 1, 2, 2, 1, 3, 4]
# [3, 4, 2, 1, 1, 3, 4, 2, 2, 1, 3, 4, 4, 2, 1, 3]
# [3, 4, 2, 1, 1, 3, 4, 2, 4, 2, 1, 3, 2, 1, 3, 4]
# [3, 4, 2, 1, 2, 1, 3, 4, 1, 2, 4, 3, 4, 3, 1, 2]
# [3, 4, 2, 1, 2, 1, 3, 4, 1, 3, 4, 2, 4, 2, 1, 3]
# [3, 4, 2, 1, 2, 1, 3, 4, 4, 2, 1, 3, 1, 3, 4, 2]
# [3, 4, 2, 1, 2, 1, 3, 4, 4, 3, 1, 2, 1, 2, 4, 3]
# [3, 4, 2, 1, 2, 1, 4, 3, 1, 2, 3, 4, 4, 3, 1, 2]
# [3, 4, 2, 1, 2, 1, 4, 3, 4, 3, 1, 2, 1, 2, 3, 4]
# [3, 4, 2, 1, 2, 3, 1, 4, 1, 2, 4, 3, 4, 1, 3, 2]
# [3, 4, 2, 1, 2, 3, 1, 4, 4, 1, 3, 2, 1, 2, 4, 3]
# [3, 4, 2, 1, 4, 1, 3, 2, 1, 2, 4, 3, 2, 3, 1, 4]
# [3, 4, 2, 1, 4, 1, 3, 2, 2, 3, 1, 4, 1, 2, 4, 3]
# [3, 4, 2, 1, 4, 2, 1, 3, 1, 3, 4, 2, 2, 1, 3, 4]
# [3, 4, 2, 1, 4, 2, 1, 3, 2, 1, 3, 4, 1, 3, 4, 2]
# [3, 4, 2, 1, 4, 3, 1, 2, 1, 2, 3, 4, 2, 1, 4, 3]
# [3, 4, 2, 1, 4, 3, 1, 2, 1, 2, 4, 3, 2, 1, 3, 4]
# [3, 4, 2, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 2, 4, 3]
# [3, 4, 2, 1, 4, 3, 1, 2, 2, 1, 4, 3, 1, 2, 3, 4]
# [4, 1, 2, 3, 1, 2, 3, 4, 2, 3, 4, 1, 3, 4, 1, 2]
# [4, 1, 2, 3, 1, 2, 3, 4, 3, 4, 1, 2, 2, 3, 4, 1]
# [4, 1, 2, 3, 1, 3, 4, 2, 2, 4, 3, 1, 3, 2, 1, 4]
# [4, 1, 2, 3, 1, 3, 4, 2, 3, 2, 1, 4, 2, 4, 3, 1]
# [4, 1, 2, 3, 1, 4, 3, 2, 2, 3, 1, 4, 3, 2, 4, 1]
# [4, 1, 2, 3, 1, 4, 3, 2, 2, 3, 4, 1, 3, 2, 1, 4]
# [4, 1, 2, 3, 1, 4, 3, 2, 3, 2, 1, 4, 2, 3, 4, 1]
# [4, 1, 2, 3, 1, 4, 3, 2, 3, 2, 4, 1, 2, 3, 1, 4]
# [4, 1, 2, 3, 2, 3, 1, 4, 1, 4, 3, 2, 3, 2, 4, 1]
# [4, 1, 2, 3, 2, 3, 1, 4, 3, 2, 4, 1, 1, 4, 3, 2]
# [4, 1, 2, 3, 2, 3, 4, 1, 1, 2, 3, 4, 3, 4, 1, 2]
# [4, 1, 2, 3, 2, 3, 4, 1, 1, 4, 3, 2, 3, 2, 1, 4]
# [4, 1, 2, 3, 2, 3, 4, 1, 3, 2, 1, 4, 1, 4, 3, 2]
# [4, 1, 2, 3, 2, 3, 4, 1, 3, 4, 1, 2, 1, 2, 3, 4]
# [4, 1, 2, 3, 2, 4, 3, 1, 1, 3, 4, 2, 3, 2, 1, 4]
# [4, 1, 2, 3, 2, 4, 3, 1, 3, 2, 1, 4, 1, 3, 4, 2]
# [4, 1, 2, 3, 3, 2, 1, 4, 1, 3, 4, 2, 2, 4, 3, 1]
# [4, 1, 2, 3, 3, 2, 1, 4, 1, 4, 3, 2, 2, 3, 4, 1]
# [4, 1, 2, 3, 3, 2, 1, 4, 2, 3, 4, 1, 1, 4, 3, 2]
# [4, 1, 2, 3, 3, 2, 1, 4, 2, 4, 3, 1, 1, 3, 4, 2]
# [4, 1, 2, 3, 3, 2, 4, 1, 1, 4, 3, 2, 2, 3, 1, 4]
# [4, 1, 2, 3, 3, 2, 4, 1, 2, 3, 1, 4, 1, 4, 3, 2]
# [4, 1, 2, 3, 3, 4, 1, 2, 1, 2, 3, 4, 2, 3, 4, 1]
# [4, 1, 2, 3, 3, 4, 1, 2, 2, 3, 4, 1, 1, 2, 3, 4]
# [4, 1, 3, 2, 1, 2, 4, 3, 2, 3, 1, 4, 3, 4, 2, 1]
# [4, 1, 3, 2, 1, 2, 4, 3, 3, 4, 2, 1, 2, 3, 1, 4]
# [4, 1, 3, 2, 1, 3, 2, 4, 2, 4, 1, 3, 3, 2, 4, 1]
# [4, 1, 3, 2, 1, 3, 2, 4, 3, 2, 4, 1, 2, 4, 1, 3]
# [4, 1, 3, 2, 1, 4, 2, 3, 2, 3, 1, 4, 3, 2, 4, 1]
# [4, 1, 3, 2, 1, 4, 2, 3, 2, 3, 4, 1, 3, 2, 1, 4]
# [4, 1, 3, 2, 1, 4, 2, 3, 3, 2, 1, 4, 2, 3, 4, 1]
# [4, 1, 3, 2, 1, 4, 2, 3, 3, 2, 4, 1, 2, 3, 1, 4]
# [4, 1, 3, 2, 2, 3, 1, 4, 1, 2, 4, 3, 3, 4, 2, 1]
# [4, 1, 3, 2, 2, 3, 1, 4, 1, 4, 2, 3, 3, 2, 4, 1]
# [4, 1, 3, 2, 2, 3, 1, 4, 3, 2, 4, 1, 1, 4, 2, 3]
# [4, 1, 3, 2, 2, 3, 1, 4, 3, 4, 2, 1, 1, 2, 4, 3]
# [4, 1, 3, 2, 2, 3, 4, 1, 1, 4, 2, 3, 3, 2, 1, 4]
# [4, 1, 3, 2, 2, 3, 4, 1, 3, 2, 1, 4, 1, 4, 2, 3]
# [4, 1, 3, 2, 2, 4, 1, 3, 1, 3, 2, 4, 3, 2, 4, 1]
# [4, 1, 3, 2, 2, 4, 1, 3, 3, 2, 4, 1, 1, 3, 2, 4]
# [4, 1, 3, 2, 3, 2, 1, 4, 1, 4, 2, 3, 2, 3, 4, 1]
# [4, 1, 3, 2, 3, 2, 1, 4, 2, 3, 4, 1, 1, 4, 2, 3]
# [4, 1, 3, 2, 3, 2, 4, 1, 1, 3, 2, 4, 2, 4, 1, 3]
# [4, 1, 3, 2, 3, 2, 4, 1, 1, 4, 2, 3, 2, 3, 1, 4]
# [4, 1, 3, 2, 3, 2, 4, 1, 2, 3, 1, 4, 1, 4, 2, 3]
# [4, 1, 3, 2, 3, 2, 4, 1, 2, 4, 1, 3, 1, 3, 2, 4]
# [4, 1, 3, 2, 3, 4, 2, 1, 1, 2, 4, 3, 2, 3, 1, 4]
# [4, 1, 3, 2, 3, 4, 2, 1, 2, 3, 1, 4, 1, 2, 4, 3]
# [4, 2, 1, 3, 1, 3, 2, 4, 2, 4, 3, 1, 3, 1, 4, 2]
# [4, 2, 1, 3, 1, 3, 2, 4, 3, 1, 4, 2, 2, 4, 3, 1]
# [4, 2, 1, 3, 1, 3, 4, 2, 2, 1, 3, 4, 3, 4, 2, 1]
# [4, 2, 1, 3, 1, 3, 4, 2, 2, 4, 3, 1, 3, 1, 2, 4]
# [4, 2, 1, 3, 1, 3, 4, 2, 3, 1, 2, 4, 2, 4, 3, 1]
# [4, 2, 1, 3, 1, 3, 4, 2, 3, 4, 2, 1, 2, 1, 3, 4]
# [4, 2, 1, 3, 1, 4, 3, 2, 2, 3, 4, 1, 3, 1, 2, 4]
# [4, 2, 1, 3, 1, 4, 3, 2, 3, 1, 2, 4, 2, 3, 4, 1]
# [4, 2, 1, 3, 2, 1, 3, 4, 1, 3, 4, 2, 3, 4, 2, 1]
# [4, 2, 1, 3, 2, 1, 3, 4, 3, 4, 2, 1, 1, 3, 4, 2]
# [4, 2, 1, 3, 2, 3, 4, 1, 1, 4, 3, 2, 3, 1, 2, 4]
# [4, 2, 1, 3, 2, 3, 4, 1, 3, 1, 2, 4, 1, 4, 3, 2]
# [4, 2, 1, 3, 2, 4, 3, 1, 1, 3, 2, 4, 3, 1, 4, 2]
# [4, 2, 1, 3, 2, 4, 3, 1, 1, 3, 4, 2, 3, 1, 2, 4]
# [4, 2, 1, 3, 2, 4, 3, 1, 3, 1, 2, 4, 1, 3, 4, 2]
# [4, 2, 1, 3, 2, 4, 3, 1, 3, 1, 4, 2, 1, 3, 2, 4]
# [4, 2, 1, 3, 3, 1, 2, 4, 1, 3, 4, 2, 2, 4, 3, 1]
# [4, 2, 1, 3, 3, 1, 2, 4, 1, 4, 3, 2, 2, 3, 4, 1]
# [4, 2, 1, 3, 3, 1, 2, 4, 2, 3, 4, 1, 1, 4, 3, 2]
# [4, 2, 1, 3, 3, 1, 2, 4, 2, 4, 3, 1, 1, 3, 4, 2]
# [4, 2, 1, 3, 3, 1, 4, 2, 1, 3, 2, 4, 2, 4, 3, 1]
# [4, 2, 1, 3, 3, 1, 4, 2, 2, 4, 3, 1, 1, 3, 2, 4]
# [4, 2, 1, 3, 3, 4, 2, 1, 1, 3, 4, 2, 2, 1, 3, 4]
# [4, 2, 1, 3, 3, 4, 2, 1, 2, 1, 3, 4, 1, 3, 4, 2]
# [4, 2, 3, 1, 1, 3, 2, 4, 2, 1, 4, 3, 3, 4, 1, 2]
# [4, 2, 3, 1, 1, 3, 2, 4, 2, 4, 1, 3, 3, 1, 4, 2]
# [4, 2, 3, 1, 1, 3, 2, 4, 3, 1, 4, 2, 2, 4, 1, 3]
# [4, 2, 3, 1, 1, 3, 2, 4, 3, 4, 1, 2, 2, 1, 4, 3]
# [4, 2, 3, 1, 1, 3, 4, 2, 2, 4, 1, 3, 3, 1, 2, 4]
# [4, 2, 3, 1, 1, 3, 4, 2, 3, 1, 2, 4, 2, 4, 1, 3]
# [4, 2, 3, 1, 1, 4, 2, 3, 2, 3, 1, 4, 3, 1, 4, 2]
# [4, 2, 3, 1, 1, 4, 2, 3, 3, 1, 4, 2, 2, 3, 1, 4]
# [4, 2, 3, 1, 2, 1, 4, 3, 1, 3, 2, 4, 3, 4, 1, 2]
# [4, 2, 3, 1, 2, 1, 4, 3, 3, 4, 1, 2, 1, 3, 2, 4]
# [4, 2, 3, 1, 2, 3, 1, 4, 1, 4, 2, 3, 3, 1, 4, 2]
# [4, 2, 3, 1, 2, 3, 1, 4, 3, 1, 4, 2, 1, 4, 2, 3]
# [4, 2, 3, 1, 2, 4, 1, 3, 1, 3, 2, 4, 3, 1, 4, 2]
# [4, 2, 3, 1, 2, 4, 1, 3, 1, 3, 4, 2, 3, 1, 2, 4]
# [4, 2, 3, 1, 2, 4, 1, 3, 3, 1, 2, 4, 1, 3, 4, 2]
# [4, 2, 3, 1, 2, 4, 1, 3, 3, 1, 4, 2, 1, 3, 2, 4]
# [4, 2, 3, 1, 3, 1, 2, 4, 1, 3, 4, 2, 2, 4, 1, 3]
# [4, 2, 3, 1, 3, 1, 2, 4, 2, 4, 1, 3, 1, 3, 4, 2]
# [4, 2, 3, 1, 3, 1, 4, 2, 1, 3, 2, 4, 2, 4, 1, 3]
# [4, 2, 3, 1, 3, 1, 4, 2, 1, 4, 2, 3, 2, 3, 1, 4]
# [4, 2, 3, 1, 3, 1, 4, 2, 2, 3, 1, 4, 1, 4, 2, 3]
# [4, 2, 3, 1, 3, 1, 4, 2, 2, 4, 1, 3, 1, 3, 2, 4]
# [4, 2, 3, 1, 3, 4, 1, 2, 1, 3, 2, 4, 2, 1, 4, 3]
# [4, 2, 3, 1, 3, 4, 1, 2, 2, 1, 4, 3, 1, 3, 2, 4]
# [4, 3, 1, 2, 1, 2, 3, 4, 2, 1, 4, 3, 3, 4, 2, 1]
# [4, 3, 1, 2, 1, 2, 3, 4, 3, 4, 2, 1, 2, 1, 4, 3]
# [4, 3, 1, 2, 1, 2, 4, 3, 2, 1, 3, 4, 3, 4, 2, 1]
# [4, 3, 1, 2, 1, 2, 4, 3, 2, 4, 3, 1, 3, 1, 2, 4]
# [4, 3, 1, 2, 1, 2, 4, 3, 3, 1, 2, 4, 2, 4, 3, 1]
# [4, 3, 1, 2, 1, 2, 4, 3, 3, 4, 2, 1, 2, 1, 3, 4]
# [4, 3, 1, 2, 1, 4, 2, 3, 2, 1, 3, 4, 3, 2, 4, 1]
# [4, 3, 1, 2, 1, 4, 2, 3, 3, 2, 4, 1, 2, 1, 3, 4]
# [4, 3, 1, 2, 2, 1, 3, 4, 1, 2, 4, 3, 3, 4, 2, 1]
# [4, 3, 1, 2, 2, 1, 3, 4, 1, 4, 2, 3, 3, 2, 4, 1]
# [4, 3, 1, 2, 2, 1, 3, 4, 3, 2, 4, 1, 1, 4, 2, 3]
# [4, 3, 1, 2, 2, 1, 3, 4, 3, 4, 2, 1, 1, 2, 4, 3]
# [4, 3, 1, 2, 2, 1, 4, 3, 1, 2, 3, 4, 3, 4, 2, 1]
# [4, 3, 1, 2, 2, 1, 4, 3, 3, 4, 2, 1, 1, 2, 3, 4]
# [4, 3, 1, 2, 2, 4, 3, 1, 1, 2, 4, 3, 3, 1, 2, 4]
# [4, 3, 1, 2, 2, 4, 3, 1, 3, 1, 2, 4, 1, 2, 4, 3]
# [4, 3, 1, 2, 3, 1, 2, 4, 1, 2, 4, 3, 2, 4, 3, 1]
# [4, 3, 1, 2, 3, 1, 2, 4, 2, 4, 3, 1, 1, 2, 4, 3]
# [4, 3, 1, 2, 3, 2, 4, 1, 1, 4, 2, 3, 2, 1, 3, 4]
# [4, 3, 1, 2, 3, 2, 4, 1, 2, 1, 3, 4, 1, 4, 2, 3]
# [4, 3, 1, 2, 3, 4, 2, 1, 1, 2, 3, 4, 2, 1, 4, 3]
# [4, 3, 1, 2, 3, 4, 2, 1, 1, 2, 4, 3, 2, 1, 3, 4]
# [4, 3, 1, 2, 3, 4, 2, 1, 2, 1, 3, 4, 1, 2, 4, 3]
# [4, 3, 1, 2, 3, 4, 2, 1, 2, 1, 4, 3, 1, 2, 3, 4]
# [4, 3, 2, 1, 1, 2, 3, 4, 2, 1, 4, 3, 3, 4, 1, 2]
# [4, 3, 2, 1, 1, 2, 3, 4, 2, 4, 1, 3, 3, 1, 4, 2]
# [4, 3, 2, 1, 1, 2, 3, 4, 3, 1, 4, 2, 2, 4, 1, 3]
# [4, 3, 2, 1, 1, 2, 3, 4, 3, 4, 1, 2, 2, 1, 4, 3]
# [4, 3, 2, 1, 1, 2, 4, 3, 2, 1, 3, 4, 3, 4, 1, 2]
# [4, 3, 2, 1, 1, 2, 4, 3, 3, 4, 1, 2, 2, 1, 3, 4]
# [4, 3, 2, 1, 1, 4, 3, 2, 2, 1, 4, 3, 3, 2, 1, 4]
# [4, 3, 2, 1, 1, 4, 3, 2, 3, 2, 1, 4, 2, 1, 4, 3]
# [4, 3, 2, 1, 2, 1, 3, 4, 1, 2, 4, 3, 3, 4, 1, 2]
# [4, 3, 2, 1, 2, 1, 3, 4, 3, 4, 1, 2, 1, 2, 4, 3]
# [4, 3, 2, 1, 2, 1, 4, 3, 1, 2, 3, 4, 3, 4, 1, 2]
# [4, 3, 2, 1, 2, 1, 4, 3, 1, 4, 3, 2, 3, 2, 1, 4]
# [4, 3, 2, 1, 2, 1, 4, 3, 3, 2, 1, 4, 1, 4, 3, 2]
# [4, 3, 2, 1, 2, 1, 4, 3, 3, 4, 1, 2, 1, 2, 3, 4]
# [4, 3, 2, 1, 2, 4, 1, 3, 1, 2, 3, 4, 3, 1, 4, 2]
# [4, 3, 2, 1, 2, 4, 1, 3, 3, 1, 4, 2, 1, 2, 3, 4]
# [4, 3, 2, 1, 3, 1, 4, 2, 1, 2, 3, 4, 2, 4, 1, 3]
# [4, 3, 2, 1, 3, 1, 4, 2, 2, 4, 1, 3, 1, 2, 3, 4]
# [4, 3, 2, 1, 3, 2, 1, 4, 1, 4, 3, 2, 2, 1, 4, 3]
# [4, 3, 2, 1, 3, 2, 1, 4, 2, 1, 4, 3, 1, 4, 3, 2]
# [4, 3, 2, 1, 3, 4, 1, 2, 1, 2, 3, 4, 2, 1, 4, 3]
# [4, 3, 2, 1, 3, 4, 1, 2, 1, 2, 4, 3, 2, 1, 3, 4]
# [4, 3, 2, 1, 3, 4, 1, 2, 2, 1, 3, 4, 1, 2, 4, 3]
# [4, 3, 2, 1, 3, 4, 1, 2, 2, 1, 4, 3, 1, 2, 3, 4]

# 576道题目

jc=path+fr'\{hs}宫格 基础{int(len(basis))}种'
os.makedirs(jc,exist_ok=True)

# 制作12张原始基础样式
for n2 in range(len(basis)):
    # for ns in range(len(styles2[nt][nr])):
    t2=basis[n2]
    print(t2)

    # 设置画布参数
    rows = 4
    cols = 4
    cell_size = 100
    border_width = 10
    canvas_width = cols * cell_size + border_width * 2
    canvas_height = rows * cell_size + border_width * 2

    

    # 加载字体
    font_path = r'C:\Windows\Fonts\arial.ttf'  # 替换成你的字体文件路径
    font_size = 60
    font = ImageFont.truetype(font_path, font_size)

    # 创建图像
    canvas_color = (255, 255, 255)  # 白色
    image = Image.new('RGB', (canvas_width, canvas_height), canvas_color)
    draw = ImageDraw.Draw(image)

    # 绘制边框
    draw.rectangle([(0, 0), (canvas_width, canvas_height)], outline=(0, 0, 0), width=border_width)

    # 计算内部区域的起始点和结束点
    inner_start_x = border_width
    inner_end_x = canvas_width - border_width
    inner_start_y = border_width
    inner_end_y = canvas_height - border_width

    # 绘制表格（去掉边框线10磅）
    for row in range(rows + 1):
        start_y = inner_start_y + row * cell_size
        draw.line((inner_start_x, start_y, inner_end_x, start_y), fill=(0, 0, 0))  # 水平线

    for col in range(cols + 1):
        start_x = inner_start_x + col * cell_size
        draw.line((start_x, inner_start_y, start_x, inner_end_y), fill=(0, 0, 0))  # 垂直线    

    # 在每个单元格的中心点写入数字
    for row in range(rows):
        for col in range(cols):
            index = row * cols + col
            number = t2[index]
            text = str(number)
            text_width, text_height = draw.textsize(text, font=font)
            center_x = inner_start_x + col * cell_size + (cell_size - text_width) // 2
            center_y = inner_start_y + row * cell_size + (cell_size - text_height) // 2 - 10
            
            # 绘制数字
            draw.text((center_x, center_y), text, font=font, fill=(0, 0, 0))
            
            # 绘制下划线
            underline_y = center_y + text_height // 1 + 10  # 调整下划线位置，使其位于数字下方
            draw.line((center_x - text_width //10, underline_y, center_x + text_width *1, underline_y), fill=(0, 0, 0), width=2)

    
    
    # 保存图像
    output_path1 = os.path.join(jc, f'{hs}宫格 基础样式{n2+1:03}.png')
    image.save(output_path1)
    print(f"Image saved to {output_path1}")

print('---------第3步，原始列表生成样式1，了解数量和空格位置----------')
# 读取每一款，假设任意缺1空、任意缺2空，任意缺三空
# 原始列表
import itertools
m=1

names=[]
styles1=[]
styles2=[]

for a1 in  range(len(basis)):   
    a=basis[a1]
    print(a)
    # [1, 2, 3, 2, 3, 1, 3, 1, 2]
    
    # 12张一页的样式
    n=0
    xx=0
    
    for x in range(start,hs*hs):
        # 如果报错，就从相应的宫格数字继续生成
        l1=[]
        # 使用 combinations 生成所有不重复的组合
        combinations = list(itertools.combinations(range(len(a)), x))
        # 1有9次，2有36次，，3有84次，4有84次，3有84次，3有84次，3有84次，3有84次，3有84次，3有84次

        # 打印组合及其索引，并将索引位置的内容变成 ''
        for comb in combinations:
            # 创建副本以避免修改原始列表
            modified_list = a[:]
            # 将组合中的索引位置内容替换为 ''
            for index in comb:
                modified_list[index] = ''
            
            # print(f"{modified_list}")
            # print(f"Combination: {[modified_list[i] for i in comb]}, Indices: {comb}")
            l1.append(modified_list)
        # 输出组合的数量
        # print(l)   
        t=f"{hs}宫格 样式{a1+1:03} {x}空有{len(l1)}种"
        print(f"{hs}宫格 样式{a1+1:03} {x}空有{len(l1)}种")
        names.append(t)
        # 1空有9种
        # 2空有36种
        # 3空有84种
        # 4空有126种
        # 5空有126种
        # 6空有84种
        # 7空有36种
        # 8空有9种
        # 9空有1种
        n+=len(combinations)
        # # 4宫格1套，511种，
        # print(n)    
        # 510
        # # 4宫格1套,12种图案，每种510,共6132种，
        # print(n*len(basis))
        
#     print(n*576)
        # 将嵌套列表转换为扁平列表
        flat_list = [item for sublist in l1 for item in sublist]
        print(flat_list)
        print(len(flat_list))
        # 81

                # 将 flat_list 拆分成每组包含9个元素的嵌套列表
        grouped_list= [flat_list[i:i + hs*hs] for i in range(0, len(flat_list),  hs*hs)]

        print(grouped_list)
        print(len(grouped_list))

    
        print('数字9个',grouped_list)

        styles1.append(grouped_list)
        
        # styles2.append(styles1)
        
print(names)
print(len(names))
# 8种名称1-9
# 96种
# print(styles1)
# print(len(styles1)) 

# print(styles2)
# print(len(styles2))  
# 96种
# # 8种列表，每种数量不等，呈现正态分布    

for nt in range(len(styles1)):
    # 按照样式1、2、3分组
    # wj=output_dir+fr'\{hs}宫格 样式{nt:02}'
    # os.makedirs(wj,exist_ok=True)

    for nr in range(len(styles1[nt])):
        # for ns in range(len(styles2[nt][nr])):
        t=styles1[nt][nr]
        print(t)

        # 设置画布参数
        rows = 4
        cols = 4
        cell_size = 100
        border_width = 10
        canvas_width = cols * cell_size + border_width * 2
        canvas_height = rows * cell_size + border_width * 2

        

        # 加载字体
        font_path = r'C:\Windows\Fonts\arial.ttf'  # 替换成你的字体文件路径
        font_size = 60
        font = ImageFont.truetype(font_path, font_size)

        # 创建图像
        canvas_color = (255, 255, 255)  # 白色
        image = Image.new('RGB', (canvas_width, canvas_height), canvas_color)
        draw = ImageDraw.Draw(image)

        # 绘制边框
        draw.rectangle([(0, 0), (canvas_width, canvas_height)], outline=(0, 0, 0), width=border_width)

        # 计算内部区域的起始点和结束点
        inner_start_x = border_width
        inner_end_x = canvas_width - border_width
        inner_start_y = border_width
        inner_end_y = canvas_height - border_width

        # 绘制表格（去掉边框线10磅）
        for row in range(rows + 1):
            start_y = inner_start_y + row * cell_size
            draw.line((inner_start_x, start_y, inner_end_x, start_y), fill=(0, 0, 0))  # 水平线

        for col in range(cols + 1):
            start_x = inner_start_x + col * cell_size
            draw.line((start_x, inner_start_y, start_x, inner_end_y), fill=(0, 0, 0))  # 垂直线    

        # 在每个单元格的中心点写入数字
        for row in range(rows):
            for col in range(cols):
                index = row * cols + col
                number = t[index]
                text = str(number)
                text_width, text_height = draw.textsize(text, font=font)
                center_x = inner_start_x + col * cell_size + (cell_size - text_width) // 2
                center_y = inner_start_y + row * cell_size + (cell_size - text_height) // 2 - 10
                
                # 绘制数字
                draw.text((center_x, center_y), text, font=font, fill=(0, 0, 0))
                
                # 绘制下划线
                underline_y = center_y + text_height // 1 + 10  # 调整下划线位置，使其位于数字下方
                draw.line((center_x - text_width //10, underline_y, center_x + text_width *1, underline_y), fill=(0, 0, 0), width=2)
    
       

        # 保存图像
        output_path = os.path.join(output_dir, f'{names[nt]} {nr+1:05}.png')
        image.save(output_path)
        print(f"Image saved to {output_path}")


# 每510张打包再一起,样式1 510张、样式2 510张、样式3 510张  
import os
import shutil

# 设置源文件夹路径
source_folder = output_dir
print(source_folder)

# C:\Users\jg2yXRZ\OneDrive\桌面\20250311 4宫格所有可能（图片版）\01三宫格图片版\00全部


hs = 4  # Assuming hs is defined somewhere in your code
# path = "your_path"  # Replace with your actual path

# 创建目标文件夹
for i in range(1, int(len(basis) + 1)):  # 假设总共有30个文件，分成3组
    folder_name = os.path.join(path, f"{hs}宫格 样式{i:03}")
    os.makedirs(folder_name, exist_ok=True)

# 获取所有图片文件名
image_files = [f for f in os.listdir(source_folder) if f.endswith(('.png', '.jpg', '.jpeg'))]

# 分组并复制文件 n=510
group_size = n
for i, file in enumerate(image_files):
    group_index = i // group_size + 1  # 计算当前文件属于第几组
    source_path = os.path.join(source_folder, file)
    destination_path = os.path.join(path, f"{hs}宫格 样式{group_index:05}", file)
    shutil.copy(source_path, destination_path)
    print(f"Copied {file} to {destination_path}")


# 记录程序结束时间
end_time = datetime.now()

# 计算程序运行时间
elapsed_time = end_time - start_time

print(f"数独{hs}宫格程序开始时间:{start_time}")
print(f"数独{hs}宫格程序结束时间:{end_time}")

# 打印程序运行时间
print("程序运行时间：", elapsed_time)

这个4宫格有576套，现在正在获取所有的全部图片，电脑啸叫厉害，估计要内存不够了。

结果：生成了大约1小时，VScode自动关闭了，半夜我又试了一次，还是如此。

因此我想测试576种的任意1套有多少种可能。

大约生成了20分钟。576套就是11520分钟等于192小时（4宫格的用时，就已经要疯掉）

图片效果

一套题，65534张。

原来，65534*576=37747584（3774万）,数量太多了，难怪VScode内存不够，自动关闭了。

图片长宽

图片大小

总内存（65534张图片一共521MB 乘以576套等于MB）

521*576=300096 MB/1024MG 等于 292.875 GB。

我的电脑都没有这么多的空间，(灬ꈍ ꈍ灬)

因为这套是图片版本，所以不能像WORD版本那样对地一套题目的数字进行替换（文字数字可以替换），这里只能逐步生成576套题。

——唉，内存装不下这么多图片，只能返回先把3宫格6012题做WORD和PDF。或者先把样式1的4万张做成PDF，删除图片后，再生成第二套。总之也是漫长的制作过程啊。


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