Given n, generate all structurally unique BST‘s (binary search trees) that store values 1...n.
For example,
Given n = 3, your program should return all 5 unique BST‘s shown below.
1 3 3 2 1
\ / / / \ 3 2 1 1 3 2
/ / \ 2 1 2 3
confused what "{1,#,2,3}" means? >
read more on how binary tree is serialized on OJ.
思想十分难,程序构造处理并不复杂。
//2014-2-15 update AC
vector<TreeNode *> generateTrees(int n)
{
return gen(1, n);
}
vector<TreeNode *> gen(int left, int right)
{
if (left > right) return vector<TreeNode *>(1, nullptr);
vector<TreeNode *> rs;
for (int k = left; k <= right; k++)
{
vector<TreeNode *> lt = gen(left, k-1);
vector<TreeNode *> rt = gen(k+1, right);
for (int i = 0; i < lt.size(); i++)
{
for (int j = 0; j < rt.size(); j++)
{
TreeNode *n = new TreeNode(k);
n->left = lt[i];
n->right = rt[j];
rs.push_back(n);
}
}
}
return rs;
}
Leetcode Unique Binary Search Trees II
原文:http://blog.csdn.net/kenden23/article/details/17560461