#coding=utf-8
import datetime
class solution(object):
def __init__(self,board):
self.b = board
self.t = 0
def check(self,x,y,value):#检查每行每列及每宫是否有相同项
for row_item in self.b[x]:
if row_item == value:
return False
for row_all in self.b:
if row_all[y] == value:
return False
row,col=x/3*3,y/3*3
row3col3=self.b[row][col:col+3]+self.b[row+1][col:col+3]+self.b[row+2][col:col+3]
for row3col3_item in row3col3:
if row3col3_item == value:
return False
return True
def get_next(self,x,y):#得到下一个未填项
for next_soulu in range(y+1,9):
if self.b[x][next_soulu] == 0:
return x,next_soulu
for row_n in range(x+1,9):
for col_n in range(0,9):
if self.b[row_n][col_n] == 0:
return row_n,col_n
return -1,-1 #若无下一个未填项,返回-1
def try_it(self,x,y):#主循环
if self.b[x][y] == 0:
for i in range(1,10):#从1到9尝试
self.t+=1
if self.check(x,y,i):#符合 行列宫均无条件 的
self.b[x][y]=i #将符合条件的填入0格
next_x,next_y=self.get_next(x,y)#得到下一个0格
if next_x == -1: #如果无下一个0格
return True #返回True
else: #如果有下一个0格,递归判断下一个0格直到填满数独
end=self.try_it(next_x,next_y)
if not end: #在递归过程中存在不符合条件的,即 使try_it函数返回None的项
self.b[x][y] = 0 #回朔到上一层继续
else:
return True
def start(self):
begin = datetime.datetime.now()
if self.b[0][0] == 0:
self.try_it(0,0)
else:
x,y=self.get_next(0,0)
self.try_it(x,y)
for i in self.b:
print i
end = datetime.datetime.now()
print '\ncost time:', end - begin
print 'times:',self.t
return
s=solution([[8,0,0,0,0,0,0,0,0],
[0,0,3,6,0,0,0,0,0],
[0,7,0,0,9,0,2,0,0],
[0,5,0,0,0,7,0,0,0],
[0,0,0,8,4,5,7,0,0],
[0,0,0,1,0,0,0,3,0],
[0,0,1,0,0,0,0,6,8],
[0,0,8,5,0,0,0,1,0],
[0,9,0,0,0,0,4,0,0]])
73 s.start() [8, 1, 2, 7, 5, 3, 6, 4, 9] [9, 4, 3, 6, 8, 2, 1, 7, 5] [6, 7, 5, 4, 9, 1, 2, 8, 3] [1, 5, 4, 2, 3, 7, 8, 9, 6] [3, 6, 9, 8, 4, 5, 7, 2, 1] [2, 8, 7, 1, 6, 9, 5, 3, 4] [5, 2, 1, 9, 7, 4, 3, 6, 8] [4, 3, 8, 5, 2, 6, 9, 1, 7] [7, 9, 6, 3, 1, 8, 4, 5, 2] cost time: .060687 times: 45360
可以看到程序虽然运算次数比较多,但是速度还是很快的。
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