How do I implement backtracking in Python?
Backtracking is a problem-solving technique that involves exploring all possible solutions. In Python, you can implement it using recursion. Would you like an example?
Yes, please provide an example of backtracking in Python.
Sure! A classic example is solving the N-Queens problem. Here's a simple implementation:
def solve_n_queens(n):
def is_safe(board, row, col):
for i in range(col):
if board[row][i] == 1:
return False
for i, j in zip(range(row, -1, -1), range(col, -1, -1)):
if board[i][j] == 1:
return False
for i, j in zip(range(row, n, 1), range(col, -1, -1)):
if board[i][j] == 1:
return False
return True
def solve(board, col):
if col >= n:
return True
for i in range(n):
if is_safe(board, i, col):
board[i][col] = 1
if solve(board, col + 1):
return True
board[i][col] = 0
return False
board = [[0] * n for _ in range(n)]
if not solve(board, 0):
return "No solution exists"
return board
print(solve_n_queens(4))
What does this code do?
This code attempts to place N queens on an N x N chessboard such that no two queens threaten each other. It uses backtracking to explore all possible placements.
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