struct Solution;
use std::collections::BinaryHeap;
impl Solution {
fn maximum_minimum_path(a: Vec<Vec<i32>>) -> i32 {
let n = a.len();
let m = a[0].len();
let mut visited: Vec<Vec<bool>> = vec![vec![false; m]; n];
let mut queue: BinaryHeap<(i32, usize, usize)> = BinaryHeap::new();
visited[0][0] = true;
queue.push((a[0][0], 0, 0));
let mut res = std::i32::MAX;
while let Some((x, i, j)) = queue.pop() {
res = res.min(x);
if i == n - 1 && j == m - 1 {
break;
}
if i > 0 && !visited[i - 1][j] {
visited[i - 1][j] = true;
queue.push((a[i - 1][j], i - 1, j));
}
if j > 0 && !visited[i][j - 1] {
visited[i][j - 1] = true;
queue.push((a[i][j - 1], i, j - 1));
}
if i + 1 < n && !visited[i + 1][j] {
visited[i + 1][j] = true;
queue.push((a[i + 1][j], i + 1, j));
}
if j + 1 < m && !visited[i][j + 1] {
visited[i][j + 1] = true;
queue.push((a[i][j + 1], i, j + 1));
}
}
res
}
}
#[test]
fn test() {
let a = vec_vec_i32![[5, 4, 5], [1, 2, 6], [7, 4, 6]];
let res = 4;
assert_eq!(Solution::maximum_minimum_path(a), res);
let a = vec_vec_i32![[2, 2, 1, 2, 2, 2], [1, 2, 2, 2, 1, 2]];
let res = 2;
assert_eq!(Solution::maximum_minimum_path(a), res);
let a = vec_vec_i32![
[3, 4, 6, 3, 4],
[0, 2, 1, 1, 7],
[8, 8, 3, 2, 7],
[3, 2, 4, 9, 8],
[4, 1, 2, 0, 0],
[4, 6, 5, 4, 3]
];
let res = 3;
assert_eq!(Solution::maximum_minimum_path(a), res);
}