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| 1 | +#![allow(dead_code)] |
| 2 | +use std::cell::RefCell; |
| 3 | +use std::rc::Rc; |
| 4 | + |
| 5 | +type Tree = Option<Rc<RefCell<TreeNode>>>; |
| 6 | + |
| 7 | +#[derive(Debug, PartialEq, Eq)] |
| 8 | +pub struct TreeNode { |
| 9 | + pub val: i32, |
| 10 | + pub left: Tree, |
| 11 | + pub right: Tree, |
| 12 | +} |
| 13 | + |
| 14 | +impl TreeNode { |
| 15 | + #[inline] |
| 16 | + pub fn new(val: i32) -> Self { |
| 17 | + TreeNode { |
| 18 | + val, |
| 19 | + left: None, |
| 20 | + right: None, |
| 21 | + } |
| 22 | + } |
| 23 | +} |
| 24 | + |
| 25 | +pub fn max_depth(root: Tree) -> i32 { |
| 26 | + if root.is_none() { |
| 27 | + return 0; |
| 28 | + } |
| 29 | + |
| 30 | + let left_depth = max_depth(root.as_ref().unwrap().borrow().left.clone()); |
| 31 | + let right_depth = max_depth(root.as_ref().unwrap().borrow().right.clone()); |
| 32 | + |
| 33 | + return 1 + std::cmp::max(left_depth, right_depth); |
| 34 | +} |
| 35 | + |
| 36 | +/* |
| 37 | + Algorithm - Recursive DFS (Depth First Search) |
| 38 | + - If the root is None, return 0 |
| 39 | + - Get the max depth of the left subtree |
| 40 | + - Get the max depth of the right subtree |
| 41 | + - Return 1 + the max of the left and right subtree |
| 42 | +
|
| 43 | + Complexity |
| 44 | + - Time: O(n) |
| 45 | + - Space: O(n) |
| 46 | +*/ |
| 47 | + |
| 48 | +#[cfg(test)] |
| 49 | +mod tests { |
| 50 | + use super::*; |
| 51 | + |
| 52 | + #[test] |
| 53 | + fn test_1() { |
| 54 | + let mut root = TreeNode::new(3); |
| 55 | + let mut left = TreeNode::new(9); |
| 56 | + let right = TreeNode::new(20); |
| 57 | + let left_left = TreeNode::new(15); |
| 58 | + let left_right = TreeNode::new(7); |
| 59 | + |
| 60 | + left.left = Some(Rc::new(RefCell::new(left_left))); |
| 61 | + left.right = Some(Rc::new(RefCell::new(left_right))); |
| 62 | + root.left = Some(Rc::new(RefCell::new(left))); |
| 63 | + root.right = Some(Rc::new(RefCell::new(right))); |
| 64 | + |
| 65 | + assert_eq!(max_depth(Some(Rc::new(RefCell::new(root)))), 3); |
| 66 | + } |
| 67 | + |
| 68 | + #[test] |
| 69 | + fn test_2() { |
| 70 | + let mut root = TreeNode::new(1); |
| 71 | + let left = TreeNode::new(2); |
| 72 | + |
| 73 | + root.left = Some(Rc::new(RefCell::new(left))); |
| 74 | + |
| 75 | + assert_eq!(max_depth(Some(Rc::new(RefCell::new(root)))), 2); |
| 76 | + } |
| 77 | + |
| 78 | + #[test] |
| 79 | + fn test_3() { |
| 80 | + let root = TreeNode::new(0); |
| 81 | + |
| 82 | + assert_eq!(max_depth(Some(Rc::new(RefCell::new(root)))), 1); |
| 83 | + } |
| 84 | + |
| 85 | + #[test] |
| 86 | + fn test_4() { |
| 87 | + assert_eq!(max_depth(None), 0); |
| 88 | + } |
| 89 | +} |
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