|
| 1 | + |
| 2 | + |
1 | 3 | global N
|
2 | 4 | N = 4
|
| 5 | + |
3 | 6 | def printSolution(board):
|
4 |
| - for i in range(N): |
5 |
| - for j in range(N): |
6 |
| - print (board[i][j],end=' ') |
7 |
| - print() |
| 7 | + for i in range(N): |
| 8 | + for j in range(N): |
| 9 | + print (board[i][j],end=' ') |
| 10 | + print() |
| 11 | + |
| 12 | + |
| 13 | + |
8 | 14 | def isSafe(board, row, col):
|
9 |
| - for i in range(col): |
10 |
| - if board[row][i] == 1: |
11 |
| - return False |
12 |
| - for i, j in zip(range(row, -1, -1), range(col, -1, -1)): |
13 |
| - if board[i][j] == 1: |
14 |
| - return False |
15 |
| - for i, j in zip(range(row, N, 1), range(col, -1, -1)): |
16 |
| - if board[i][j] == 1: |
17 |
| - return False |
18 |
| - return True |
| 15 | + |
| 16 | + for i in range(col): |
| 17 | + if board[row][i] == 1: |
| 18 | + return False |
| 19 | + |
| 20 | + |
| 21 | + for i, j in zip(range(row, -1, -1), range(col, -1, -1)): |
| 22 | + if board[i][j] == 1: |
| 23 | + return False |
| 24 | + |
| 25 | + |
| 26 | + for i, j in zip(range(row, N, 1), range(col, -1, -1)): |
| 27 | + if board[i][j] == 1: |
| 28 | + return False |
| 29 | + |
| 30 | + return True |
| 31 | + |
19 | 32 | def solveNQUtil(board, col):
|
20 |
| - if col >= N: |
21 |
| - return True |
22 |
| - for i in range(N): |
23 |
| - if isSafe(board, i, col): |
24 |
| - board[i][col] = 1 |
25 |
| - if solveNQUtil(board, col + 1) == True: |
26 |
| - return True |
27 |
| - board[i][col] = 0 |
28 |
| - return False |
| 33 | + if col >= N: |
| 34 | + return True |
| 35 | + |
| 36 | + |
| 37 | + for i in range(N): |
| 38 | + |
| 39 | + if isSafe(board, i, col): |
| 40 | + |
| 41 | + board[i][col] = 1 |
| 42 | + |
| 43 | + if solveNQUtil(board, col + 1) == True: |
| 44 | + return True |
| 45 | + |
| 46 | + |
| 47 | + board[i][col] = 0 |
| 48 | + |
| 49 | + |
| 50 | + return False |
| 51 | + |
29 | 52 | def solveNQ():
|
30 |
| - board = [[0, 0, 0, 0], |
31 |
| - [0, 0, 0, 0], |
32 |
| - [0, 0, 0, 0], |
33 |
| - [0, 0, 0, 0] |
34 |
| - ] |
35 |
| - if solveNQUtil(board, 0) == False: |
36 |
| - print ("Solution does not exist") |
37 |
| - return False |
38 |
| - printSolution(board) |
39 |
| - return True |
| 53 | + board = [ [0, 0, 0, 0], |
| 54 | + [0, 0, 0, 0], |
| 55 | + [0, 0, 0, 0], |
| 56 | + [0, 0, 0, 0] |
| 57 | + ] |
| 58 | + |
| 59 | + if solveNQUtil(board, 0) == False: |
| 60 | + print ("Solution does not exist") |
| 61 | + return False |
| 62 | + |
| 63 | + printSolution(board) |
| 64 | + return True |
| 65 | + |
| 66 | + |
40 | 67 | solveNQ()
|
| 68 | + |
| 69 | + |
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