Created
August 4, 2019 05:04
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N-Queens: backtrack to print all solutions
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def isSafe(board, row, col): | |
for i in range(col): | |
if board[row][i] == 'Q': | |
return False | |
i = row | |
j = col | |
while i >= 0 and j >= 0: | |
if board[i][j] == 'Q': | |
return False | |
i -= 1 | |
j -= 1 | |
i = row | |
j = col | |
while j >= 0 and i < len(board): | |
if board[i][j] == 'Q': | |
return False | |
i = i + 1 | |
j = j - 1 | |
return True | |
def solveNQUtil(board, col): | |
if col == len(board): | |
solution = [''.join(row) for row in board] | |
yield solution | |
for i in range(len(board)): | |
if (isSafe(board, i, col)): | |
board[i][col] = 'Q' | |
yield from solveNQUtil(board, col + 1) | |
board[i][col] = '.' | |
def solveNQ(): | |
board = [['.' for j in range(8)] | |
for i in range(8)] | |
return solveNQUtil(board, 0) | |
for solution in solveNQ(): | |
print(solution) |
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