LeetCode 1372 Longest ZigZag Path in a Binary Tree (DFS)

Given a binary tree root, a ZigZag path for a binary tree is defined as follow:

  • Choose any node in the binary tree and a direction (right or left).
  • If the current direction is right then move to the right child of the current node otherwise move to the left child.
  • Change the direction from right to left or right to left.
  • Repeat the second and third step until you can't move in the tree.

Zigzag length is defined as the number of nodes visited - 1. (A single node has a length of 0).

Return the longest ZigZag path contained in that tree.

 

Example 1:

LeetCode 1372 Longest ZigZag Path in a Binary Tree (DFS)_第1张图片

Input: root = [1,null,1,1,1,null,null,1,1,null,1,null,null,null,1,null,1]
Output: 3
Explanation: Longest ZigZag path in blue nodes (right -> left -> right).

Example 2:

LeetCode 1372 Longest ZigZag Path in a Binary Tree (DFS)_第2张图片

Input: root = [1,1,1,null,1,null,null,1,1,null,1]
Output: 4
Explanation: Longest ZigZag path in blue nodes (left -> right -> left -> right).

Example 3:

Input: root = [1]
Output: 0

 

Constraints:

  • Each tree has at most 50000 nodes..
  • Each node's value is between [1, 100].

题目链接:https://leetcode.com/problems/longest-zigzag-path-in-a-binary-tree/

题目分析:每个点都可以作为当前根,dfs即可

5ms,时间击败93%

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
class Solution {
    
    public void helper(TreeNode cur, TreeNode fa, int step, int[] ans) {
        if (cur == null) {
            return;
        }
        if (ans[0] < step) {
            ans[0] = step;
        }
        if (cur == fa.left) {
            helper(cur.right, cur, step + 1, ans);
            helper(cur.left, cur, 1, ans);
        } else {
            helper(cur.left, cur, step + 1, ans);
            helper(cur.right, cur, 1, ans);
        }
    }
    
    public int longestZigZag(TreeNode root) {
        if (root == null) {
            return 0;
        }
        int[] ans = new int[1];
        helper(root.left, root, 1, ans);
        helper(root.right, root, 1, ans);
        return ans[0];
    }
}

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