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【LeetCode 230】Kth Smallest Element in a BST

时间:2015-07-02 22:30:24      阅读:263      评论:0      收藏:0      [点我收藏+]

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Given a binary search tree, write a function kthSmallest to find the kth smallest element in it.

Note: 
You may assume k is always valid, 1 ≤ k ≤ BST‘s total elements.

 

题意:

  给定一个二分搜索树,返回第K小的结点

思路:

  只要明白BST树的原理,只要中序遍历一遍BST树即可。求第K小的,只需遍历前K个结点就OK。

C++:

 1 /**
 2  * Definition for a binary tree node.
 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 
13     int ret, cnt, _k;
14 
15     void rec(TreeNode *root)
16     {
17         if(root->left == 0 && root->right == 0)
18         {
19             cnt++;
20             if(cnt == _k)
21                 ret = root->val;
22             return ;
23         }
24         
25         if(root->left != 0)
26             rec(root->left);
27         
28         cnt++;
29         if(cnt == _k){
30             ret = root->val;
31             return ;
32         }
33         
34         if(root->right != 0)
35             rec(root->right);
36     }
37     
38     int kthSmallest(TreeNode* root, int k) {
39         if(root == 0)
40             return 0;
41             
42         _k = k; cnt = ret = 0;
43         
44         rec(root);
45         
46         return ret;
47     }
48 };

 

Python:

 1 # Definition for a binary tree node.
 2 # class TreeNode:
 3 #     def __init__(self, x):
 4 #         self.val = x
 5 #         self.left = None
 6 #         self.right = None
 7 
 8 class Solution:
 9     # @param {TreeNode} root
10     # @param {integer} k
11     # @return {integer}
12     
13     def __init__(self):
14         self.cnt = 0
15         self.ret = 0
16         
17     def rec(self, root, k):
18         if root.left is None and root.right is None:
19             self.cnt = self.cnt + 1
20             if self.cnt == k:
21                 self.ret = root.val
22             return 
23         
24         if root.left is not None:
25             self.rec(root.left, k)
26             
27         self.cnt = self.cnt + 1
28         if self.cnt == k:
29             self.ret = root.val
30             return 
31         
32         if root.right is not None:
33             self.rec(root.right, k)
34         
35     def kthSmallest(self, root, k):
36         if root is None:
37             return 0
38         
39         self.rec(root, k)
40 
41         return self.ret

 

【LeetCode 230】Kth Smallest Element in a BST

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原文地址:http://www.cnblogs.com/tjuloading/p/4617161.html

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