95. Unique Binary Search Trees II
95. Unique Binary Search Trees II
Given an integer n, generate all structurally unique BST's (binary search trees) that store values 1 ... n.
Example:
Input: 3
Output:
[
[1,null,3,2],
[3,2,null,1],
[3,1,null,null,2],
[2,1,3],
[1,null,2,null,3]
]
Explanation:
The above output corresponds to the 5 unique BST's shown below:
1 3 3 2 1
\ / / / \ \
3 2 1 1 3 2
/ / \ \
2 1 2 3
class Solution {
public List<TreeNode> generateTrees(int n) {
if(n == 0) return new ArrayList<>();
return generate(1, n);
}
public List<TreeNode> generate(int l, int r) {
List<TreeNode> result = new ArrayList<TreeNode>();
if(l > r) result.add(null);
for(int i = l; i <= r; i++) {
List<TreeNode> left = generate(l, i-1), right = generate(i+1, r);
for(TreeNode ln : left) {
for(TreeNode rn : right) {
TreeNode root = new TreeNode(i);
root.left = ln;
root.right = rn;
result.add(root);
}
}
}
return result;
}
}