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NQueen.py
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70 lines (54 loc) · 1.63 KB
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global N
N = 5
def printBoard(board):
for i in range(N):
for j in range(N):
print(board[i][j], end = " ")
print()
def isSafe(board, row, col):
# Check this row on left side
for i in range(col):
if board[row][i] == 1:
return False
# Check upper diagonal on left side
for i, j in zip(range(row, -1, -1),
range(col, -1, -1)):
if board[i][j] == 1:
return False
# Check lower diagonal on left side
for i, j in zip(range(row, N, 1),
range(col, -1, -1)):
if board[i][j] == 1:
return False
return True
def solveNQ(board, col):
# base case
if col >= N:
return True
# Consider this column and try placing
# this queen in all rows one by one
for i in range(N):
if isSafe(board, i, col):
# Place this queen in board[i][col]
board[i][col] = 1
# recursively try to place rest of the queens
if solveNQ(board, col + 1) == True:
return True
# backtracking
board[i][col] = 0
return False
def solve():
board = [ [0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0],]
if solveNQ(board, 0) == False:
print ("No Possible Solution exists")
return False
printBoard(board)
return True
solve()