Question Definition
Given an integer 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
Java Solution
class Solution {
public List<TreeNode> generateTrees(int n) {
if(n == 0) return new LinkedList<>();
return dfs(1,n);
}
private List<TreeNode> dfs(int left, int right){
List<TreeNode> result = new LinkedList<>();
if(left == right){
result.add(new TreeNode(left));
return result;
}
if(left > right){
return null;
}
for(int i = left; i <= right; i++){
List<TreeNode> lefts = dfs(left, i - 1);
List<TreeNode> rights = dfs(i + 1, right);
if(lefts == null){
for(TreeNode r : rights){
TreeNode root = new TreeNode(i);
root.right = r;
result.add(root);
}
}
else if(rights == null){
for(TreeNode r : lefts){
TreeNode root = new TreeNode(i);
root.left = r;
result.add(root);
}
} else{
for(TreeNode l : lefts){
for(TreeNode r : rights){
TreeNode root = new TreeNode(i);
root.left = l;
root.right = r;
result.add(root);
}
}
}
}
return result;
}
}
Comments