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| 1 | +use std::{cell::RefCell, rc::Rc}; |
| 2 | +use rust::util::tree::TreeNode; |
| 3 | + |
| 4 | +// Define Solution struct |
| 5 | +pub struct Solution {} |
| 6 | + |
| 7 | +impl Solution { |
| 8 | + pub fn lca_deepest_leaves(root: Option<Rc<RefCell<TreeNode>>>) -> Option<Rc<RefCell<TreeNode>>> { |
| 9 | + let mut ans = None; |
| 10 | + let mut max_depth = -1; // max global depth |
| 11 | + |
| 12 | + fn dfs(node: &Option<Rc<RefCell<TreeNode>>>, depth: i32, max_depth: &mut i32, ans: &mut Option<Rc<RefCell<TreeNode>>>) -> i32 { |
| 13 | + if let Some(node) = node { |
| 14 | + let x = node.borrow(); |
| 15 | + let left_max_depth = dfs(&x.left, depth + 1, max_depth, ans); // left sub tree |
| 16 | + let right_max_depth = dfs(&x.right, depth + 1, max_depth, ans); // right sub tree |
| 17 | + if left_max_depth == right_max_depth && left_max_depth == *max_depth { |
| 18 | + *ans = Some(node.clone()); |
| 19 | + } |
| 20 | + left_max_depth.max(right_max_depth) |
| 21 | + } else { |
| 22 | + *max_depth = (*max_depth).max(depth); // global max depth |
| 23 | + depth |
| 24 | + } |
| 25 | + } |
| 26 | + |
| 27 | + dfs(&root, 0, &mut max_depth, &mut ans); |
| 28 | + ans |
| 29 | + } |
| 30 | +} |
| 31 | + |
| 32 | +// Add a main function to avoid the "main function not found" error |
| 33 | +fn main() { |
| 34 | + // Example usage can be added here |
| 35 | + println!("LCA of Deepest Leaves implementation"); |
| 36 | +} |
| 37 | + |
| 38 | +#[cfg(test)] |
| 39 | +mod tests { |
| 40 | + use super::*; |
| 41 | + use rust::util::tree::{to_tree, TreeNode}; |
| 42 | + |
| 43 | + #[test] |
| 44 | + fn test_lca_deepest_leaves_example1() { |
| 45 | + // Create a tree: [3,5,1,6,2,0,8,null,null,7,4] |
| 46 | + // 3 |
| 47 | + // / \ |
| 48 | + // 5 1 |
| 49 | + // / \ / \ |
| 50 | + // 6 2 0 8 |
| 51 | + // / \ |
| 52 | + // 7 4 |
| 53 | + let root = Some(Rc::new(RefCell::new(TreeNode::new(3)))); |
| 54 | + let node5 = Rc::new(RefCell::new(TreeNode::new(5))); |
| 55 | + let node1 = Rc::new(RefCell::new(TreeNode::new(1))); |
| 56 | + let node6 = Rc::new(RefCell::new(TreeNode::new(6))); |
| 57 | + let node2 = Rc::new(RefCell::new(TreeNode::new(2))); |
| 58 | + let node0 = Rc::new(RefCell::new(TreeNode::new(0))); |
| 59 | + let node8 = Rc::new(RefCell::new(TreeNode::new(8))); |
| 60 | + let node7 = Rc::new(RefCell::new(TreeNode::new(7))); |
| 61 | + let node4 = Rc::new(RefCell::new(TreeNode::new(4))); |
| 62 | + |
| 63 | + // Link the nodes |
| 64 | + node2.borrow_mut().left = Some(node7.clone()); |
| 65 | + node2.borrow_mut().right = Some(node4.clone()); |
| 66 | + |
| 67 | + node5.borrow_mut().left = Some(node6.clone()); |
| 68 | + node5.borrow_mut().right = Some(node2.clone()); |
| 69 | + |
| 70 | + node1.borrow_mut().left = Some(node0.clone()); |
| 71 | + node1.borrow_mut().right = Some(node8.clone()); |
| 72 | + |
| 73 | + root.as_ref().unwrap().borrow_mut().left = Some(node5.clone()); |
| 74 | + root.as_ref().unwrap().borrow_mut().right = Some(node1.clone()); |
| 75 | + |
| 76 | + // Expected output: node 2, as it's the lowest common ancestor of the deepest nodes (7 and 4) |
| 77 | + let result = Solution::lca_deepest_leaves(root); |
| 78 | + assert!(result.is_some()); |
| 79 | + assert_eq!(result.unwrap().borrow().val, 2); |
| 80 | + } |
| 81 | + |
| 82 | + #[test] |
| 83 | + fn test_lca_deepest_leaves_example2() { |
| 84 | + // Create a tree: [1] |
| 85 | + let root = Some(Rc::new(RefCell::new(TreeNode::new(1)))); |
| 86 | + |
| 87 | + // Expected output: node 1, as it's the only node |
| 88 | + let result = Solution::lca_deepest_leaves(root); |
| 89 | + assert!(result.is_some()); |
| 90 | + assert_eq!(result.unwrap().borrow().val, 1); |
| 91 | + } |
| 92 | + |
| 93 | + #[test] |
| 94 | + fn test_lca_deepest_leaves_example3() { |
| 95 | + // Create a tree: [1,2,3,4,5] |
| 96 | + // 1 |
| 97 | + // / \ |
| 98 | + // 2 3 |
| 99 | + // / \ |
| 100 | + // 4 5 |
| 101 | + |
| 102 | + // Using the utility function to_tree for easier tree creation |
| 103 | + let vec = vec![Some(1), Some(2), Some(3), Some(4), Some(5)]; |
| 104 | + let root = to_tree(vec); |
| 105 | + |
| 106 | + // Expected output: node 2, as it's the lowest common ancestor of the deepest nodes (4 and 5) |
| 107 | + let result = Solution::lca_deepest_leaves(root); |
| 108 | + assert!(result.is_some()); |
| 109 | + assert_eq!(result.unwrap().borrow().val, 2); |
| 110 | + } |
| 111 | + |
| 112 | + #[test] |
| 113 | + fn test_lca_deepest_leaves_unbalanced() { |
| 114 | + // Create an unbalanced tree: [1,2,null,3,null,4] |
| 115 | + // 1 |
| 116 | + // / |
| 117 | + // 2 |
| 118 | + // / |
| 119 | + // 3 |
| 120 | + // / |
| 121 | + // 4 |
| 122 | + let root = Some(Rc::new(RefCell::new(TreeNode::new(1)))); |
| 123 | + let node2 = Rc::new(RefCell::new(TreeNode::new(2))); |
| 124 | + let node3 = Rc::new(RefCell::new(TreeNode::new(3))); |
| 125 | + let node4 = Rc::new(RefCell::new(TreeNode::new(4))); |
| 126 | + |
| 127 | + node3.borrow_mut().left = Some(node4.clone()); |
| 128 | + node2.borrow_mut().left = Some(node3.clone()); |
| 129 | + root.as_ref().unwrap().borrow_mut().left = Some(node2.clone()); |
| 130 | + |
| 131 | + // Expected output: node 4, as it's the deepest node |
| 132 | + let result = Solution::lca_deepest_leaves(root); |
| 133 | + assert!(result.is_some()); |
| 134 | + assert_eq!(result.unwrap().borrow().val, 4); |
| 135 | + } |
| 136 | +} |
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