|
| 1 | +/** |
| 2 | + * [1530] Number of Good Leaf Nodes Pairs |
| 3 | + * |
| 4 | + * You are given the root of a binary tree and an integer distance. A pair of two different leaf nodes of a binary tree is said to be good if the length of the shortest path between them is less than or equal to distance. |
| 5 | + * Return the number of good leaf node pairs in the tree. |
| 6 | + * |
| 7 | + * Example 1: |
| 8 | + * <img alt="" src="https://assets.leetcode.com/uploads/2020/07/09/e1.jpg" style="width: 250px; height: 250px;" /> |
| 9 | + * Input: root = [1,2,3,null,4], distance = 3 |
| 10 | + * Output: 1 |
| 11 | + * Explanation: The leaf nodes of the tree are 3 and 4 and the length of the shortest path between them is 3. This is the only good pair. |
| 12 | + * |
| 13 | + * Example 2: |
| 14 | + * <img alt="" src="https://assets.leetcode.com/uploads/2020/07/09/e2.jpg" style="width: 250px; height: 182px;" /> |
| 15 | + * Input: root = [1,2,3,4,5,6,7], distance = 3 |
| 16 | + * Output: 2 |
| 17 | + * Explanation: The good pairs are [4,5] and [6,7] with shortest path = 2. The pair [4,6] is not good because the length of ther shortest path between them is 4. |
| 18 | + * |
| 19 | + * Example 3: |
| 20 | + * |
| 21 | + * Input: root = [7,1,4,6,null,5,3,null,null,null,null,null,2], distance = 3 |
| 22 | + * Output: 1 |
| 23 | + * Explanation: The only good pair is [2,5]. |
| 24 | + * |
| 25 | + * |
| 26 | + * Constraints: |
| 27 | + * |
| 28 | + * The number of nodes in the tree is in the range [1, 2^10]. |
| 29 | + * 1 <= Node.val <= 100 |
| 30 | + * 1 <= distance <= 10 |
| 31 | + * |
| 32 | + */ |
| 33 | +pub struct Solution {} |
| 34 | +use crate::util::tree::{to_tree, TreeNode}; |
| 35 | + |
| 36 | +// problem: https://leetcode.com/problems/number-of-good-leaf-nodes-pairs/ |
| 37 | +// discuss: https://leetcode.com/problems/number-of-good-leaf-nodes-pairs/discuss/?currentPage=1&orderBy=most_votes&query= |
| 38 | + |
| 39 | +// submission codes start here |
| 40 | + |
| 41 | +// Definition for a binary tree node. |
| 42 | +// #[derive(Debug, PartialEq, Eq)] |
| 43 | +// pub struct TreeNode { |
| 44 | +// pub val: i32, |
| 45 | +// pub left: Option<Rc<RefCell<TreeNode>>>, |
| 46 | +// pub right: Option<Rc<RefCell<TreeNode>>>, |
| 47 | +// } |
| 48 | +// |
| 49 | +// impl TreeNode { |
| 50 | +// #[inline] |
| 51 | +// pub fn new(val: i32) -> Self { |
| 52 | +// TreeNode { |
| 53 | +// val, |
| 54 | +// left: None, |
| 55 | +// right: None |
| 56 | +// } |
| 57 | +// } |
| 58 | +// } |
| 59 | +use std::cell::RefCell; |
| 60 | +use std::rc::Rc; |
| 61 | +impl Solution { |
| 62 | + pub fn count_pairs(root: Option<Rc<RefCell<TreeNode>>>, distance: i32) -> i32 { |
| 63 | + let mut result = 0; |
| 64 | + Self::dfs_helper(&root, distance, &mut result); |
| 65 | + result |
| 66 | + } |
| 67 | + |
| 68 | + fn dfs_helper(root: &Option<Rc<RefCell<TreeNode>>>, distance: i32, ans: &mut i32) -> Vec<i32> { |
| 69 | + match root { |
| 70 | + None => vec![0; distance as usize + 1], |
| 71 | + Some(node) => { |
| 72 | + let node = node.borrow(); |
| 73 | + if node.left.is_none() && node.right.is_none() { |
| 74 | + let mut v = vec![0; distance as usize + 1]; |
| 75 | + v[1] += 1; |
| 76 | + return v; |
| 77 | + } |
| 78 | + let left = Self::dfs_helper(&node.left, distance, ans); |
| 79 | + let right = Self::dfs_helper(&node.right, distance, ans); |
| 80 | + for i in 0..distance { |
| 81 | + for j in (0..distance).rev() { |
| 82 | + if i as i32 + j <= distance { |
| 83 | + *ans += left[i as usize] * right[j as usize]; |
| 84 | + } |
| 85 | + } |
| 86 | + } |
| 87 | + let mut v = vec![0; distance as usize + 1]; |
| 88 | + |
| 89 | + for i in (1..v.len() - 1).rev() { |
| 90 | + v[i + 1] = left[i] + right[i]; |
| 91 | + } |
| 92 | + v |
| 93 | + } |
| 94 | + } |
| 95 | + } |
| 96 | +} |
| 97 | + |
| 98 | +// submission codes end |
| 99 | + |
| 100 | +#[cfg(test)] |
| 101 | +mod tests { |
| 102 | + use super::*; |
| 103 | + |
| 104 | + #[test] |
| 105 | + fn test_1530_example_1() { |
| 106 | + let root = tree![1, 2, 3, null, 4]; |
| 107 | + let distance = 3; |
| 108 | + |
| 109 | + let result = 1; |
| 110 | + |
| 111 | + assert_eq!(Solution::count_pairs(root, distance), result); |
| 112 | + } |
| 113 | + |
| 114 | + #[test] |
| 115 | + fn test_1530_example_2() { |
| 116 | + let root = tree![1, 2, 3, 4, 5, 6, 7]; |
| 117 | + let distance = 3; |
| 118 | + |
| 119 | + let result = 2; |
| 120 | + |
| 121 | + assert_eq!(Solution::count_pairs(root, distance), result); |
| 122 | + } |
| 123 | + |
| 124 | + #[test] |
| 125 | + fn test_1530_example_3() { |
| 126 | + let root = tree![7, 1, 4, 6, null, 5, 3, null, null, null, null, null, 2]; |
| 127 | + let distance = 3; |
| 128 | + |
| 129 | + let result = 1; |
| 130 | + |
| 131 | + assert_eq!(Solution::count_pairs(root, distance), result); |
| 132 | + } |
| 133 | +} |
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