title: 95. Unique Binary Search Trees II
tags:
- backtracking
categories: leetcode
comments: false
/**
* Definition for a binary tree node.
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode() : val(0), left(nullptr), right(nullptr) {}
* TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
* TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
* };
*/
class Solution {
public:
vector<TreeNode*> generateTrees(int l, int r){
if(l>r) return {nullptr};
vector<TreeNode *> ret;
for(int i=l;i<=r;++i){
vector<TreeNode*> left = generateTrees(l, i-1);
vector<TreeNode*> right = generateTrees(i+1, r);
for(auto l:left){
for(auto r:right){
TreeNode *t = new TreeNode(i);
t->left = l;
t->right = r;
ret.push_back(t);
}
}
}
return ret;
}
vector<TreeNode*> generateTrees(int n) {
return generateTrees(1, n);
}
};
class Solution {
public:
vector<vector<vector<TreeNode*>>> memo;
vector<TreeNode*> generateTrees(int l, int r){
if(l>r) return {nullptr};
if(!memo[l][r].empty()) return memo[l][r];
vector<TreeNode *> ret;
for(int i=l;i<=r;++i){
vector<TreeNode*> left = generateTrees(l, i-1);
vector<TreeNode*> right = generateTrees(i+1, r);
for(auto l:left){
for(auto r:right){
TreeNode *t = new TreeNode(i);
t->left = l;
t->right = r;
ret.push_back(t);
}
}
}
return memo[l][r] = ret;
}
vector<TreeNode*> generateTrees(int n) {
memo = vector<vector<vector<TreeNode * >>>(n+1, vector<vector<TreeNode*>>(n+1));
return generateTrees(1, n);
}
};