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total_n_queens.rs
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use std::collections::{HashSet, VecDeque};
// 52. N-Queens II, Hard
// https://leetcode.com/problems/n-queens-ii/
impl Solution {
pub fn total_n_queens(n: i32) -> i32 {
let mut board: Vec<Vec<i32>> = vec![vec![0; n as usize]; n as usize];
// Check if queen can be placed
fn is_valid_placement(board: &Vec<Vec<i32>>, n: i32, i: i32, j: i32) -> bool {
let mut queue = VecDeque::new();
queue.push_back((i, j, (1, 0)));
queue.push_back((i, j, (1, 1)));
queue.push_back((i, j, (0, 1)));
queue.push_back((i, j, (-1, 1)));
queue.push_back((i, j, (-1, 0)));
queue.push_back((i, j, (-1, -1)));
queue.push_back((i, j, (0, -1)));
queue.push_back((i, j, (1, -1)));
while !queue.is_empty() {
let (x, y, direction) = queue.pop_front().unwrap();
if 0 <= x && x < n && 0 <= y && y < n {
if board[x as usize][y as usize] == 1 {
return false;
}
queue.push_back((x + direction.0, y + direction.1, direction));
}
}
true
}
let mut ans: Vec<Vec<Vec<i32>>> = vec![];
fn backtracking(ans: &mut Vec<Vec<Vec<i32>>>, board: &mut Vec<Vec<i32>>, n: usize, placed: usize, i: usize, j: usize) {
if placed == n {
ans.push(board.clone());
} else if i == n {
} else if j == n {
backtracking(ans, board, n, placed, i + 1, 0);
} else {
if is_valid_placement(board, n as i32, i as i32, j as i32) {
board[i][j] = 1;
backtracking(ans, board, n, placed + 1, i, j + 1);
board[i][j] = 0;
}
backtracking(ans, board, n, placed, i, j + 1);
}
}
backtracking(&mut ans, &mut board, n as usize, 0, 0, 0);
ans.len() as i32
}
}
struct Solution {}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_find_duplicates() {
assert_eq!(Solution::total_n_queens(4), 2);
}
#[test]
fn test_find_duplicates2() {
assert_eq!(Solution::total_n_queens(1), 1);
}
}