Lowest Common Ancestor of a Binary Search Tree

1. Title

235. Lowest Common Ancestor of a Binary Search Tree

2. Http address

https://leetcode.com/problems/lowest-common-ancestor-of-a-binary-search-tree/

3. The question

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.

 4 My code(AC)

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
public class Solution {
    
    public boolean DFS(TreeNode root, TreeNode target, LinkedList<TreeNode> path)
    {
    
        if (root == null || target == null)
            return false;

        path.addLast(root);
        if (root == target) {
            return true;
        }

        if (DFS(root.left, target, path)) {
            return true;
        } else {
            if (root.left != null) {
                path.removeLast();
            }
            boolean re =  DFS(root.right, target, path);
            if( root.right != null && re == false){
                path.removeLast();
            }
            return re;    
        }
    
    }
    
    public TreeNode lowestCommonAncestor(TreeNode root, TreeNode p, TreeNode q) {
        
        
        if( p == null || q == null)
        {
            return null;
        }
        LinkedList<TreeNode> path1 = new LinkedList<TreeNode>();
        LinkedList<TreeNode> path2 = new LinkedList<TreeNode>();
        DFS(root,p,path1);
        DFS(root,q,path2);
        
        if( path1.size() <= 0 || path2.size() <= 0)
            return null;
        TreeNode bf = path1.removeFirst();
        path2.removeFirst();
        while( !path1.isEmpty() && !path2.isEmpty()){
            TreeNode node1 = path1.removeFirst();
            TreeNode node2 = path2.removeFirst();
            if( node1 != node2){
                break;
            }
            bf =  node1;
        }
        return bf;
    
    }
}