What are some advanced Python interview problems I should practice?
You can practice problems like implementing a custom iterator, solving the N-Queens problem, or creating a memoization decorator.
Can you explain how to solve the N-Queens problem?
Sure! The N-Queens problem involves placing N queens on an N×N chessboard so that no two queens threaten each other. You can use backtracking to explore all possible placements.
What is backtracking in this context?
Backtracking is a recursive algorithm that tries to build a solution incrementally, abandoning solutions as soon as it determines that they cannot lead to a valid solution.
Can you provide a sample code for the N-Queens problem?
Absolutely! Here's a simple implementation in Python:
def solve_n_queens(n):
def backtrack(row, columns, diagonals1, diagonals2):
if row == n:
result.append(board[:])
return
for col in range(n):
if col in columns or (row - col) in diagonals1 or (row + col) in diagonals2:
continue
columns.add(col)
diagonals1.add(row - col)
diagonals2.add(row + col)
board[row] = col
backtrack(row + 1, columns, diagonals1, diagonals2)
columns.remove(col)
diagonals1.remove(row - col)
diagonals2.remove(row + col)
result = []
board = [-1] * n
backtrack(0, set(), set(), set())
return result
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