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board-py
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52 lines (47 loc) · 1.27 KB
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def print_board(board):
for i in range(9):
for j in range(9):
print(board[i][j], end=" ")
print()
def find_empty(board):
for i in range(9):
for j in range(9):
if board[i][j] == 0:
return i, j
return None
def is_valid(board, num, pos):
for i in range(9):
if board[pos[0]][i] == num or board[i][pos[1]] == num:
return False
box_x = pos[1] // 3
box_y = pos[0] // 3
for i in range(box_y * 3, box_y * 3 + 3):
for j in range(box_x * 3, box_x * 3 + 3):
if board[i][j] == num:
return False
return True
def solve(board):
find = find_empty(board)
if not find:
return True
row, col = find
for i in range(1, 10):
if is_valid(board, i, (row, col)):
board[row][col] = i
if solve(board):
return True
board[row][col] = 0
return False
board = [
[5, 3, 0, 0, 7, 0, 0, 0, 0],
[6, 0, 0, 1, 9, 5, 0, 0, 0],
[0, 9, 8, 0, 0, 0, 0, 6, 0],
[8, 0, 0, 0, 6, 0, 0, 0, 3],
[4, 0, 0, 8, 0, 3, 0, 0, 1],
[7, 0, 0, 0, 2, 0, 0, 0, 6],
[0, 6, 0, 0, 0, 0, 2, 8, 0],
[0, 0, 0, 4, 1, 9, 0, 0, 5],
[0, 0, 0, 0, 8, 0, 0, 7, 9]
]
solve(board)
print_board(board)