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.
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.
Solution:O(n)
public class Solution {
public ArrayList<TreeNode> generateTrees(int n) {
return generateTrees(1,n);
}
public ArrayList<TreeNode> generateTrees(int a, int b){
ArrayList<TreeNode> ret = new ArrayList<TreeNode>();
if(a>b){
ret.add(null);
}else if(a==b){
ret.add(new TreeNode(a));
}else if(a<b){
for(int i=a;i<=b;i++){
ArrayList<TreeNode> tmp1 = generateTrees(a,i-1);
ArrayList<TreeNode> tmp2 = generateTrees(i+1,b);
for(TreeNode n:tmp1){
for(TreeNode m:tmp2){
TreeNode tmp= new TreeNode(i);
tmp.left=n;
tmp.right=m;
ret.add(tmp);
}
}
}
}
return ret;
}
}
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