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Backtracking
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N-Queens Board
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Backtracking
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N-Queens Board
Watch backtracking place queens row by row, retreat when stuck, and find all valid arrangements.
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Click Play to begin the N-Queens visualization.
What does backtracking do in N-Queens when a queen can't be placed?
def solve_nqueens(n):
def is_safe(board, row, col):
for i in range(row):
if (board[i] == col or
abs(board[i] - col) == abs(i - row)):
return False
return True
def backtrack(board, row):
if row == n:
solutions.append(board[:])
return
for col in range(n):
if is_safe(board, row, col):
board[row] = col # place
backtrack(board, row + 1)
board[row] = -1 # undo
solutions = []
backtrack([-1] * n, 0)
return solutions
# 4-Queens: 0 solutions