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.
解题:
递归就行:根节点为空,返回0;一个子树根节点为空,另一个子树根节点不为空,就返回根节点不为空的子树高度;否则返回两个子树中高度大者加一。
代码:
1 /** 2 * Definition for binary tree 3 * struct TreeNode { 4 * int val; 5 * TreeNode *left; 6 * TreeNode *right; 7 * TreeNode(int x) : val(x), left(NULL), right(NULL) {} 8 * }; 9 */ 10 class Solution { 11 public: 12 int maxDepth(TreeNode *root) { 13 if(root == NULL) 14 return 0; 15 if(root->left != NULL && root->right == NULL) 16 return maxDepth(root->left)+1; 17 if(root->right != NULL && root->left == NULL) 18 return maxDepth(root->right)+1; 19 int h_left = maxDepth(root->left); 20 int h_right = maxDepth(root->right); 21 return h_left > h_right ? h_left+1:h_right+1; 22 } 23 };
Java版本代码:
1 /** 2 * Definition for binary tree 3 * public class TreeNode { 4 * int val; 5 * TreeNode left; 6 * TreeNode right; 7 * TreeNode(int x) { val = x; } 8 * } 9 */ 10 public class Solution { 11 public int maxDepth(TreeNode root) { 12 return maxDepthHelper(root, 0); 13 } 14 int maxDepthHelper(TreeNode root,int height){ 15 if(root == null) 16 return height; 17 int l = maxDepthHelper(root.left, height+1); 18 int r = maxDepthHelper(root.right, height+1); 19 return l > r?l:r; 20 } 21 }