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【LeetCode】96 - Unique Binary Search Trees

时间:2015-08-11 07:00:29      阅读:163      评论:0      收藏:0      [点我收藏+]

Given n, how many structurally unique BST‘s (binary search trees) that store values 1...n?

For example,
Given n = 3, there are a total of 5 unique BST‘s.

   1         3     3      2      1
    \       /     /      / \           3     2     1      1   3      2
    /     /       \                    2     1         2                 3
 
Solution 1:  递归
 1 class Solution {
 2 public:
 3     int numTrees(int n) {
 4         if(n == 0)
 5             return 1;
 6         else if(n == 1)
 7             return 1;
 8         else
 9         {
10             int count = 0;
11             for(int i = 0; i <= (n-1)/2; i ++)
12             {
13                 if(i < n-1-i)
14                     count += 2*numTrees(i)*numTrees(n-1-i);
15                 else
16                     count += numTrees(i)*numTrees(n-1-i);
17             }
18             return count;
19         }
20     }
21 };

 

 

【LeetCode】96 - Unique Binary Search Trees

原文:http://www.cnblogs.com/irun/p/4719720.html

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