1448. Count Good Nodes in Binary Tree

Description

Given a binary tree 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:

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:

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:

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, 10^5].
• Each node's value is between [-10^4, 10^4].

 

Solutions

Solution: Depth-First Search

• Time complexity: O(n)
• Space complexity: O(Tree Deep)

 

JavaScript

/**
 * @param {TreeNode} root
 * @return {number}
 */
const goodNodes = function (root) {
  const getGoodNodesCount = (node = root, max = root.val) => {
    if (!node) return 0;
    const nextMax = Math.max(max, node.val);
    const left = getGoodNodesCount(node.left, nextMax);
    const right = getGoodNodesCount(node.right, nextMax);

    return left + right + (nextMax === node.val ? 1 : 0);
  };

  return getGoodNodesCount();
};