給定一個數字N,建立出所有1~N之間所有的unique BST。首先這題和Unique Binary Search Tree類似,但是這題是要把全部的Tree建立出來。概念一樣,選定一個當root之後,分別建立出左右兩邊的BST(divide),然後把左右兩邊的BST和root拼成一個新的BST(conquer)。
vector<TreeNode *> helper(int start, int end) {
if(start > end) return {nullptr};
if(start == end) return {new TreeNode(start)};
vector<TreeNode *> rtn;
for(int i = start; i <= end; ++i) {
vector<TreeNode *> left = helper(start, i - 1);
vector<TreeNode *> right = helper(i + 1, end);
for(auto l : left)
for(auto r : right)
rtn.push_back(new TreeNode(i, l, r);
}
return rtn;
}
vector<TreeNode*> generateTrees(int n) {
return helper(1, n);
}
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