计算数独
数独文件
000000002
006002000
000030040
000050000
001000006
000400070
050000000
000003109
470009000
代码
class Sudoku:
ALL = set(range(1, 10))
def __init__(self, sdk_file):
self.sdk_matrix = [[int(c) for c in line]
for line in sdk_file.read().split("\n")] if sdk_file else []
def get_row(self, row):
return self.sdk_matrix[row]
def get_col(self, col):
return [row[col] for row in self.sdk_matrix]
def get_matrix(self, row, col):
sr, sc = (row // 3) * 3, (col // 3) * 3
for r in range(sr, sr + 3):
for c in range(sc, sc + 3):
yield(self.sdk_matrix[r][c])
def get_avls(self, row, col):
return self.ALL - (set(self.get_matrix(row, col)) | set(self.get_row(row)) | set(self.get_col(col)))
def __getitem__(self, n):
return self.sdk_matrix[n]
def __str__(self):
return "\n".join([str(row) for row in self.sdk_matrix])
def clone(self):
sdk_c = Sudoku(None)
for row in range(9):
sdk_c.sdk_matrix.append([])
for col in range(9):
sdk_c.sdk_matrix[row].append(self.sdk_matrix[row][col])
return sdk_c
def get_answer(sdk):
has_filled, brunch = False, None
for row in range(9):
for col in range(9):
if sdk[row][col] != 0:
continue
avls = sdk.get_avls(row, col)
if len(avls) == 0:
return False
elif len(avls) == 1:
sdk[row][col] = avls.pop()
has_filled = True
elif not brunch or len(avls) < len(brunch[0]):
brunch = (avls, row, col)
if has_filled:
answer = get_answer(sdk)
if answer:
return answer
elif brunch:
for b in brunch[0]:
sdk_c = sdk.clone()
sdk_c[brunch[1]][brunch[2]] = b
answer = get_answer(sdk_c)
if answer:
return answer
else:
return sdk
with open("4.sdk") as sdk_file:
sdk = Sudoku(sdk_file)
answer = get_answer(sdk)
print(answer)
结果
![](https://images2018.cnblogs.com/blog/1048433/201802/1048433-20180225175754935-1197625420.png)
流程图
![](https://images2018.cnblogs.com/blog/1048433/201802/1048433-20180225174706712-1420210168.png)