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| 1 | +use std::{cell::RefCell, collections::HashSet, rc::Rc}; |
| 2 | + |
| 3 | +#[derive(Debug, PartialEq, Eq)] |
| 4 | +pub struct TreeNode { |
| 5 | + pub val: i32, |
| 6 | + pub left: Option<Rc<RefCell<TreeNode>>>, |
| 7 | + pub right: Option<Rc<RefCell<TreeNode>>>, |
| 8 | +} |
| 9 | + |
| 10 | +#[derive(PartialEq, Eq)] |
| 11 | +struct HashableTreeNode(Rc<RefCell<TreeNode>>); |
| 12 | + |
| 13 | +impl std::hash::Hash for HashableTreeNode { |
| 14 | + fn hash<H: std::hash::Hasher>(&self, state: &mut H) { |
| 15 | + self.0.borrow().val.hash(state); |
| 16 | + } |
| 17 | +} |
| 18 | + |
| 19 | +impl TreeNode { |
| 20 | + #[inline] |
| 21 | + pub fn new(val: i32) -> Self { |
| 22 | + TreeNode { |
| 23 | + val, |
| 24 | + left: None, |
| 25 | + right: None, |
| 26 | + } |
| 27 | + } |
| 28 | +} |
| 29 | + |
| 30 | +pub fn lowest_common_ancestor( |
| 31 | + root: Option<Rc<RefCell<TreeNode>>>, |
| 32 | + p: Option<Rc<RefCell<TreeNode>>>, |
| 33 | + q: Option<Rc<RefCell<TreeNode>>>, |
| 34 | +) -> Option<Rc<RefCell<TreeNode>>> { |
| 35 | + let ancestors_p = find_ancestors(root.clone(), p.unwrap().borrow().val, Vec::new()).unwrap(); |
| 36 | + let ancestors_q = find_ancestors(root, q.unwrap().borrow().val, Vec::new()).unwrap(); |
| 37 | + |
| 38 | + let ancestors_p: HashSet<_> = ancestors_p.into_iter().map(HashableTreeNode).collect(); |
| 39 | + |
| 40 | + for ancestor in ancestors_q.into_iter().rev() { |
| 41 | + if ancestors_p.contains(&HashableTreeNode(Rc::clone(&ancestor))) { |
| 42 | + return Some(ancestor); |
| 43 | + } |
| 44 | + } |
| 45 | + |
| 46 | + None |
| 47 | +} |
| 48 | + |
| 49 | +pub fn find_ancestors( |
| 50 | + root: Option<Rc<RefCell<TreeNode>>>, |
| 51 | + v: i32, |
| 52 | + mut ancestors: Vec<Rc<RefCell<TreeNode>>>, |
| 53 | +) -> Option<Vec<Rc<RefCell<TreeNode>>>> { |
| 54 | + match root { |
| 55 | + None => None, |
| 56 | + Some(node) => { |
| 57 | + ancestors.push(Rc::clone(&node)); |
| 58 | + if node.borrow().val == v { |
| 59 | + return Some(ancestors); |
| 60 | + } |
| 61 | + |
| 62 | + if let Some(ancestors) = |
| 63 | + find_ancestors(node.borrow().left.clone(), v, ancestors.clone()) |
| 64 | + { |
| 65 | + return Some(ancestors); |
| 66 | + } |
| 67 | + |
| 68 | + find_ancestors(node.borrow().right.clone(), v, ancestors) |
| 69 | + } |
| 70 | + } |
| 71 | +} |
| 72 | + |
| 73 | +fn main() {} |
| 74 | + |
| 75 | +#[cfg(test)] |
| 76 | +mod tests { |
| 77 | + use super::*; |
| 78 | + |
| 79 | + #[test] |
| 80 | + fn test_lowest_common_ancestor() { |
| 81 | + let tree_1 = Some(Rc::new(RefCell::new(TreeNode { |
| 82 | + val: 3, |
| 83 | + left: Some(Rc::new(RefCell::new(TreeNode { |
| 84 | + val: 5, |
| 85 | + left: Some(Rc::new(RefCell::new(TreeNode { |
| 86 | + val: 6, |
| 87 | + left: None, |
| 88 | + right: None, |
| 89 | + }))), |
| 90 | + right: Some(Rc::new(RefCell::new(TreeNode { |
| 91 | + val: 2, |
| 92 | + left: Some(Rc::new(RefCell::new(TreeNode { |
| 93 | + val: 7, |
| 94 | + left: None, |
| 95 | + right: None, |
| 96 | + }))), |
| 97 | + right: Some(Rc::new(RefCell::new(TreeNode { |
| 98 | + val: 4, |
| 99 | + left: None, |
| 100 | + right: None, |
| 101 | + }))), |
| 102 | + }))), |
| 103 | + }))), |
| 104 | + right: Some(Rc::new(RefCell::new(TreeNode { |
| 105 | + val: 1, |
| 106 | + left: Some(Rc::new(RefCell::new(TreeNode { |
| 107 | + val: 0, |
| 108 | + left: None, |
| 109 | + right: None, |
| 110 | + }))), |
| 111 | + right: Some(Rc::new(RefCell::new(TreeNode { |
| 112 | + val: 8, |
| 113 | + left: None, |
| 114 | + right: None, |
| 115 | + }))), |
| 116 | + }))), |
| 117 | + }))); |
| 118 | + let result = lowest_common_ancestor( |
| 119 | + tree_1.clone(), |
| 120 | + tree_1.clone().and_then(|tree| tree.borrow().left.clone()), |
| 121 | + tree_1.clone().and_then(|tree| tree.borrow().right.clone()), |
| 122 | + ); |
| 123 | + assert_eq!(3, result.unwrap().borrow().val); |
| 124 | + |
| 125 | + let result = lowest_common_ancestor( |
| 126 | + tree_1.clone(), |
| 127 | + tree_1.clone().and_then(|tree| tree.borrow().left.clone()), |
| 128 | + tree_1 |
| 129 | + .and_then(|tree| tree.borrow().left.clone()) |
| 130 | + .and_then(|node| node.borrow().right.clone()) |
| 131 | + .and_then(|node| node.borrow().right.clone()), |
| 132 | + ); |
| 133 | + assert_eq!(5, result.unwrap().borrow().val); |
| 134 | + |
| 135 | + let tree_2 = Some(Rc::new(RefCell::new(TreeNode { |
| 136 | + val: 1, |
| 137 | + left: Some(Rc::new(RefCell::new(TreeNode { |
| 138 | + val: 2, |
| 139 | + left: None, |
| 140 | + right: None, |
| 141 | + }))), |
| 142 | + right: None, |
| 143 | + }))); |
| 144 | + let result = lowest_common_ancestor( |
| 145 | + tree_2.clone(), |
| 146 | + tree_2.clone(), |
| 147 | + tree_2.and_then(|tree| tree.borrow().left.clone()), |
| 148 | + ); |
| 149 | + assert_eq!(1, result.unwrap().borrow().val); |
| 150 | + } |
| 151 | +} |
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