GuilinDev

Lc1448

05 August 2008

1448 Count Good Nodes in Binary Tree

题目

Given a binary tree

1
root
, a node X in the tree is named good if in the path from root to X there are no nodes with a value greater than X.

Return the number of good nodes in the binary tree.

Example 1:

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Input: root = [3,1,4,3,null,1,5]
Output: 4
Explanation: Nodes in blue are good.
Root Node (3) is always a good node.
Node 4 -> (3,4) is the maximum value in the path starting from the root.
Node 5 -> (3,4,5) is the maximum value in the path
Node 3 -> (3,1,3) is the maximum value in the path.

Example 2:

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Input: root = [3,3,null,4,2]
Output: 3
Explanation: Node 2 -> (3, 3, 2) is not good, because "3" is higher than it.

Example 3:

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Input: root = [1]
Output: 1
Explanation: Root is considered as good.

Constraints:

  • The number of nodes in the binary tree is in the range
    1
    
    [1, 10^5]
    
    .
  • Each node’s value is between
    1
    
    [-10^4, 10^4]
    
    .

分析

DFS,topdown

代码

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/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode() {}
 *     TreeNode(int val) { this.val = val; }
 *     TreeNode(int val, TreeNode left, TreeNode right) {
 *         this.val = val;
 *         this.left = left;
 *         this.right = right;
 *     }
 * }
 */
class Solution {
    int result;
    public int goodNodes(TreeNode root) {
        result = 0;
        if (root == null) {
            return 0;
        }
        helper(root, root.val); // topdown带个参数下去,因为是全局最大所以也可以做成类变量
        return result;
    }
    private void helper(TreeNode root, int max) {
        if (root == null) {
            return;
        }
        if (root.val >= max) {
            result++;
        }
        max = Math.max(max, root.val);
        helper(root.left, max);
        helper(root.right, max);
    }
}