你可以生成一个随机数独解决方案板，在那里所有的数字都被填写，然后删除其中一些，以创建拼图。这将确保谜题始终有一个解决方案。确保它只有一个解决方案会更具挑战性(提示：一个9x9数独游戏必须至少留下17个数字)
下面的算法将立即为N<；1000生成NxN随机数独解决方案板。base = 3
side = base*base
# pattern for a baseline valid solution
def pattern(r,c): return (base*(r%base)+r//base+c)%side
# randomize rows, columns and numbers (of valid base pattern)
from random import sample
def shuffle(s): return sample(s,len(s))
rBase = range(base)
rows = [ g*base + r for g in shuffle(rBase) for r in shuffle(rBase) ]
cols = [ g*base + c for g in shuffle(rBase) for c in shuffle(rBase) ]
nums = shuffle(range(1,base*base+1))
# produce board using randomized baseline pattern
board = [ [nums[pattern(r,c)] for c in cols] for r in rows ]
for line in board: print(line)
[6, 2, 5, 8, 4, 3, 7, 9, 1]
[7, 9, 1, 2, 6, 5, 4, 8, 3]
[4, 8, 3, 9, 7, 1, 6, 2, 5]
[8, 1, 4, 5, 9, 7, 2, 3, 6]
[2, 3, 6, 1, 8, 4, 9, 5, 7]
[9, 5, 7, 3, 2, 6, 8, 1, 4]
[5, 6, 9, 4, 3, 2, 1, 7, 8]
[3, 4, 2, 7, 1, 8, 5, 6, 9]
[1, 7, 8, 6, 5, 9, 3, 4, 2]
然后，您可以从数独解决方案中删除一些数字来创建拼图：squares = side*side
empties = squares * 3//4
for p in sample(range(squares),empties):
board[p//side][p%side] = 0
numSize = len(str(side))
for line in board: print("["+" ".join(f"{n or '.':{numSize}}" for n in line)+"]")
[6 . . . . 3 . . 1]
[. 9 . . . . . . 3]
[4 . 3 . . . 6 . .]
[. . . 5 9 . 2 . 6]
[. . . . . . . . .]
[. . 7 . . . . . 4]
[. . . . . . 1 7 .]
[. . 2 . . 8 . . .]
[. . 8 . . . . 4 2]
对于4x4到36x36的拼图，您可以制作一个更好的印刷板，如下所示：def expandLine(line):
return line[0]+line[5:9].join([line[1:5]*(base-1)]*base)+line[9:13]
line0 = expandLine("╔═══╤═══╦═══╗")
line1 = expandLine("║ . │ . ║ . ║")
line2 = expandLine("╟───┼───╫───╢")
line3 = expandLine("╠═══╪═══╬═══╣")
line4 = expandLine("╚═══╧═══╩═══╝")
symbol = " 1234567890ABCDEFGHIJKLMNOPQRSTUVWXYZ"
nums = [ [""]+[symbol[n] for n in row] for row in board ]
print(line0)
for r in range(1,side+1):
print( "".join(n+s for n,s in zip(nums[r-1],line1.split("."))) )
print([line2,line3,line4][(r%side==0)+(r%base==0)])
╔═══╤═══╤═══╦═══╤═══╤═══╦═══╤═══╤═══╗
║ 6 │ │ ║ │ │ 3 ║ │ │ 1 ║
╟───┼───┼───╫───┼───┼───╫───┼───┼───╢
║ │ 9 │ ║ │ │ ║ │ │ 3 ║
╟───┼───┼───╫───┼───┼───╫───┼───┼───╢
║ 4 │ │ 3 ║ │ │ ║ 6 │ │ ║
╠═══╪═══╪═══╬═══╪═══╪═══╬═══╪═══╪═══╣
║ │ │ ║ 5 │ 9 │ ║ 2 │ │ 6 ║
╟───┼───┼───╫───┼───┼───╫───┼───┼───╢
║ │ │ ║ │ │ ║ │ │ ║
╟───┼───┼───╫───┼───┼───╫───┼───┼───╢
║ │ │ 7 ║ │ │ ║ │ │ 4 ║
╠═══╪═══╪═══╬═══╪═══╪═══╬═══╪═══╪═══╣
║ │ │ ║ │ │ ║ 1 │ 7 │ ║
╟───┼───┼───╫───┼───┼───╫───┼───┼───╢
║ │ │ 2 ║ │ │ 8 ║ │ │ ║
╟───┼───┼───╫───┼───┼───╫───┼───┼───╢
║ │ │ 8 ║ │ │ ║ │ 4 │ 2 ║
╚═══╧═══╧═══╩═══╧═══╧═══╩═══╧═══╧═══╝
