[剑指Offer]二叉树的深度

递归,非递归求深度

Posted by JinFei on February 23, 2020

题目描述

输入一棵二叉树,求该树的深度。从根结点到叶结点依次经过的结点(含根、叶结点)形成树的一条路径,最长路径的长度为树的深度。

解题思路

  • 递归求树的深度
/*
struct TreeNode {
	int val;
	struct TreeNode *left;
	struct TreeNode *right;
	TreeNode(int x) :
			val(x), left(NULL), right(NULL) {
	}
};*/
class Solution {
public:
    int TreeDepth(TreeNode* pRoot)
    {
        if(pRoot == NULL){
            return 0;
        }
        int leftDepth = TreeDepth(pRoot -> left);
        int rightDepth = TreeDepth(pRoot -> right);
        return leftDepth > rightDepth ? leftDepth + 1 : rightDepth + 1;
    }
};

非递归求深度

  • 借助辅助栈
  • 按照层次遍历 每次弹出该层的所有元素 然后level++
  • 最后输出level即可
/*
struct TreeNode {
	int val;
	struct TreeNode *left;
	struct TreeNode *right;
	TreeNode(int x) :
			val(x), left(NULL), right(NULL) {
	}
};*/
class Solution {
public:
    int TreeDepth(TreeNode* pRoot)
    {
        if(pRoot == NULL){
            return 0;
        }
        queue<TreeNode*> q;
        q.push(pRoot);
        int level = 0;
        while(!q.empty()){
            int size = q.size();
            for(int i = 0; i < size; i++){
                TreeNode* t = q.front();
                q.pop();
                if(t -> left){
                    q.push(t -> left);
                }
                if(t -> right){
                    q.push(t -> right);
                }
            }
            level++;
        }
        return level;
    }
};