leetcode:235. Lowest Common Ancestor of a Binary Search Tree
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Given a binary search tree (BST), find the lowest common ancestor (LCA) of two given nodes in the BST.
According to the definition of LCA on Wikipedia: “The lowest common ancestor is defined between two nodes v and w as the lowest node in T that has both v and w as descendants (where we allow a node to be a descendant of itself).”
_______6______ / \ ___2__ ___8__/ \ / \0 _4 7 9 / \ 3 5
For example, the lowest common ancestor (LCA) of nodes 2 and 8 is 6. Another example is LCA of nodes 2 and 4 is 2, since a node can be a descendant of itself according to the LCA definition.
/** * Definition for a binary tree node. * public class TreeNode { * int val; * TreeNode left; * TreeNode right; * TreeNode(int x) { val = x; } * } */public class Solution { public TreeNode lowestCommonAncestor(TreeNode root, TreeNode p, TreeNode q) { TreeNode[] parent = new TreeNode[2]; dfs(root, root, p, q, parent); return parent[0] == parent[1] ? parent[0] : null; } static void dfs(TreeNode root, TreeNode cur, TreeNode p, TreeNode q, TreeNode[] parent) { if (cur == null) { return; } if (cur == p) { parent[0] = cur; } if (cur == q) { parent[1] = cur; } dfs(cur, cur.left, p, q, parent); dfs(cur, cur.right, p, q, parent); if (parent[0] != null && parent[1] != null && parent[0] == parent[1]) { return; } if (parent[0] == cur) { parent[0] = root; } if (parent[1] == cur) { parent[1] = root; } }}
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