05 August 2008
Given a binary tree
, 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.1
root
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:
1
[1, 10^5]
.1
[-10^4, 10^4]
.DFS,topdown
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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);
}
}