题目: 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.
解题: 深度优先搜索方式,分别找到左右子树最大的深度+1即可;广度优先搜索,逐层遍历找到最大层数返回。 实现 DFS, 空间复杂度O(N) 时间复杂度 O(N) /** * 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 maxDepth(TreeNode* root) { if (!root) {return 0;} return 1 + max( maxDepth(root->left), maxDepth(root->right)); } }; 实现: BFS 空间复杂度O(N) 时间复杂度 O(N) /** * 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 maxDepth(TreeNode* root) { if (!root) {return 0;} return 1 + max( maxDepth(root->left), maxDepth(root->right)); } };*/ class Solution { public: int maxDepth(TreeNode* root) { if (!root){ return 0; } queue<TreeNode*> q; int depth=0; q.push(root); while(!q.empty()){ depth ++; int level_size = q.size(); for (int i=0; i<level_size; i++){ TreeNode *node = q.front(); q.pop(); if (node->left){ q.push(node->left); } if (node->right){ q.push(node->right); } } } return depth; } };