给你一棵 完全二叉树 的根节点 root
,求出该树的节点个数。
完全二叉树 的定义如下:在完全二叉树中,除了最底层节点可能没填满外,其余每层节点数都达到最大值,并且最下面一层的节点都集中在该层最左边的若干位置。若最底层为第 h
层,则该层包含 1~ 2h
个节点。
示例 1:
输入:root = [1,2,3,4,5,6] 输出:6
示例 2:
输入:root = [] 输出:0
示例 3:
输入:root = [1] 输出:1
方法一
/*** 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;* }* }*///普通二叉树计算节点数量,后续遍历
class Solution {public int countNodes(TreeNode root) {if(root == null) return 0;int leftcount = countNodes(root.left);int rightcount = countNodes(root.right);return leftcount+rightcount+1;}
}
方法二
/*** 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 {public int countNodes(TreeNode root) {if(root==null) return 0;TreeNode leftnode = root.left;TreeNode rightnode = root.right;int leftnum = 0;int rightnum = 0;//判断是否为满二叉树,可以减少遍历节点的次数while(leftnode!=null){leftnum++;leftnode = leftnode.left;}while(rightnode!=null){rightnum++;rightnode = rightnode.right;}if(rightnum==leftnum){return (2<<leftnum )-1;//满二叉树2^n-1;}return countNodes(root.left)+countNodes(root.right)+1;}
}