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| 1 | +/** |
| 2 | + * [1901] Find a Peak Element II |
| 3 | + * |
| 4 | + * A peak element in a 2D grid is an element that is strictly greater than all of its adjacent neighbors to the left, right, top, and bottom. |
| 5 | + * Given a 0-indexed m x n matrix mat where no two adjacent cells are equal, find any peak element mat[i][j] and return the length 2 array [i,j]. |
| 6 | + * You may assume that the entire matrix is surrounded by an outer perimeter with the value -1 in each cell. |
| 7 | + * You must write an algorithm that runs in O(m log(n)) or O(n log(m)) time. |
| 8 | + * |
| 9 | + * Example 1: |
| 10 | + * <img alt="" src="https://assets.leetcode.com/uploads/2021/06/08/1.png" style="width: 206px; height: 209px;" /> |
| 11 | + * |
| 12 | + * Input: mat = [[1,4],[3,2]] |
| 13 | + * Output: [0,1] |
| 14 | + * Explanation: Both 3 and 4 are peak elements so [1,0] and [0,1] are both acceptable answers. |
| 15 | + * |
| 16 | + * Example 2: |
| 17 | + * <img alt="" src="https://assets.leetcode.com/uploads/2021/06/07/3.png" style="width: 254px; height: 257px;" /> |
| 18 | + * |
| 19 | + * Input: mat = [[10,20,15],[21,30,14],[7,16,32]] |
| 20 | + * Output: [1,1] |
| 21 | + * Explanation: Both 30 and 32 are peak elements so [1,1] and [2,2] are both acceptable answers. |
| 22 | + * |
| 23 | + * |
| 24 | + * Constraints: |
| 25 | + * |
| 26 | + * m == mat.length |
| 27 | + * n == mat[i].length |
| 28 | + * 1 <= m, n <= 500 |
| 29 | + * 1 <= mat[i][j] <= 10^5 |
| 30 | + * No two adjacent cells are equal. |
| 31 | + * |
| 32 | + */ |
| 33 | +pub struct Solution {} |
| 34 | + |
| 35 | +// problem: https://leetcode.com/problems/find-a-peak-element-ii/ |
| 36 | +// discuss: https://leetcode.com/problems/find-a-peak-element-ii/discuss/?currentPage=1&orderBy=most_votes&query= |
| 37 | + |
| 38 | +// submission codes start here |
| 39 | + |
| 40 | +impl Solution { |
| 41 | + pub fn find_peak_grid(mat: Vec<Vec<i32>>) -> Vec<i32> { |
| 42 | + let mut start = 0_usize; |
| 43 | + let mut end = mat.len(); |
| 44 | + |
| 45 | + let (m, n) = (mat.len(), mat[0].len()); |
| 46 | + |
| 47 | + while start < end { |
| 48 | + let mid: usize = (start + end) / 2; |
| 49 | + let (mut max_idx, mut max_val) = (0_usize, mat[mid][0]); |
| 50 | + |
| 51 | + for i in 0..n { |
| 52 | + if mat[mid][i] > max_val { |
| 53 | + max_idx = i; |
| 54 | + max_val = mat[mid][i]; |
| 55 | + } |
| 56 | + } |
| 57 | + |
| 58 | + if mid > 0 && mat[mid - 1][max_idx] > max_val { |
| 59 | + end = mid; |
| 60 | + } else if mid < m - 1 && mat[mid + 1][max_idx] > max_val { |
| 61 | + start = mid + 1; |
| 62 | + } else { |
| 63 | + return vec![mid as i32, max_idx as i32]; |
| 64 | + } |
| 65 | + } |
| 66 | + |
| 67 | + vec![0, 0] |
| 68 | + } |
| 69 | +} |
| 70 | + |
| 71 | +// submission codes end |
| 72 | + |
| 73 | +#[cfg(test)] |
| 74 | +mod tests { |
| 75 | + use super::*; |
| 76 | + |
| 77 | + #[test] |
| 78 | + #[ignore] |
| 79 | + fn test_1901_example_1() { |
| 80 | + let mat = vec![vec![1, 4], vec![3, 2]]; |
| 81 | + |
| 82 | + let result = vec![0, 1]; |
| 83 | + |
| 84 | + assert_eq!(Solution::find_peak_grid(mat), result); |
| 85 | + } |
| 86 | + |
| 87 | + #[test] |
| 88 | + #[ignore] |
| 89 | + fn test_1901_example_2() { |
| 90 | + let mat = vec![vec![10, 20, 15], vec![21, 30, 14], vec![7, 16, 32]]; |
| 91 | + |
| 92 | + let result = vec![1, 1]; |
| 93 | + |
| 94 | + assert_eq!(Solution::find_peak_grid(mat), result); |
| 95 | + } |
| 96 | +} |
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