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  • (二叉树 BFS DFS) leetcode 104. Maximum Depth of Binary Tree

    Given a binary tree, find its maximum depth.

    The maximum depth is the number of nodes along the longest path from the root node down to the farthest leaf node.

    Note: A leaf is a node with no children.

    Example:

    Given binary tree [3,9,20,null,null,15,7],

        3
       / 
      9  20
        /  
       15   7

    return its depth = 3.

    -----------------------------------------------------------------------------------------------------------------------------

    求二叉树的最大深度。

    emmm,用bfs时,注意要用循环,要先遍历完一层,再遍历下一层。和leetcode111 Minimum Depth of Binary Tree几乎相似,只是少写了一行代码而已。

    C++代码:

    /**
     * Definition for a binary tree node.
     * struct TreeNode {
     *     int val;
     *     TreeNode *left;
     *     TreeNode *right;
     *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
     * };
     */
    class Solution {
    public:
        int maxDepth(TreeNode* root) {
            queue<TreeNode*> q;
            if(!root) return 0;
            q.push(root);
            int res = 0;
            while(!q.empty()){
                res++;
                for(int i = q.size(); i > 0; i--){  //必须写循环,否则在[3,9,20,null,null,15,7]时,会返回5。嗯,就是返回了二叉树的结点的个数。
                    auto t = q.front();
                    q.pop();
                    if(t->left) q.push(t->left);
                    if(t->right) q.push(t->right);
                }
            }
            return res;
        }
    };

    也可以用DFS,如果能够理解递归,就能够很好的理解DFS了。

    C++代码:

    /**
     * Definition for a binary tree node.
     * struct TreeNode {
     *     int val;
     *     TreeNode *left;
     *     TreeNode *right;
     *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
     * };
     */
    class Solution {
    public:
        int maxDepth(TreeNode* root) {
            if(!root) return 0;
            return 1 + max(maxDepth(root->left),maxDepth(root->right));
        }
    };

     还有一个递归,是自顶向下的递归

    C++代码:

    /**
     * Definition for a binary tree node.
     * struct TreeNode {
     *     int val;
     *     TreeNode *left;
     *     TreeNode *right;
     *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
     * };
     */
    class Solution {
    public:
        int answer = 0;
        int maxDepth(TreeNode* root) {
            int depth = 1;
            DFS(root,depth);
            return answer;
        }
        void DFS(TreeNode* root,int depth){
            if(!root) return;
            if(!root->left && !root->right) answer = max(answer,depth);
            DFS(root->left,depth+1);
            DFS(root->right,depth+1);
        }
    };
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  • 原文地址:https://www.cnblogs.com/Weixu-Liu/p/10714904.html
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