Monday, July 6, 2015

LeetCode [222] Count Complete Tree Nodes

 222. Count Complete Tree Nodes

Medium

Given a complete binary tree, count the number of nodes.

Note:

Definition of a complete binary tree from Wikipedia:
In a complete binary tree every level, except possibly the last, is completely filled, and all nodes in the last level are as far left as possible. It can have between 1 and 2h nodes inclusive at the last level h.

Example:

Input: 
    1
   / \
  2   3
 / \  /
4  5 6

Output: 6
 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode() : val(0), left(nullptr), right(nullptr) {}
 *     TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
 *     TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
 * };
 */
class Solution {
public:
    int countNodes(TreeNode* root) {
        if(!root) return 0;
        int lh=1, rh=1;
        TreeNode* ln = root->left;
        TreeNode* rn = root->right;
        while(ln) {++lh; ln = ln->left;}
        while(rn) {++rh; rn = rn->right;}
        if(lh==rh) return (1<<lh) - 1;
        return 1+countNodes(root->left)+countNodes(root->right);
    }
};

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