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.
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package leetcode.tree; | |
import java.util.ArrayList; | |
/** | |
* Solution: 跟Unique BST I 思路一样,划分左右子树,递归构造,然后拼接.必须先理解I。 | |
* result.add(null) 很重要,返回后需要null值来构造,否则ArrayList 为null | |
* 每次划分root 为i, 构造 (start, i-1) 和 (i+1,end) 的部分, 记住构造时候是双重循环. | |
* | |
* Reference: http://fisherlei.blogspot.com/2013/03/leetcode-unique-binary-search-trees-ii.html | |
* @author jeffwan | |
* @date Apr 14, 2014 | |
*/ | |
public class GenerateTrees { | |
public ArrayList<TreeNode> generateTrees(int n) { | |
return generate(1, n); | |
} | |
private ArrayList<TreeNode> generate(int start, int end) { | |
ArrayList<TreeNode> result = new ArrayList<TreeNode>(); | |
if (start > end) { | |
result.add(null); | |
return result; | |
} | |
for (int i = start; i <= end; i++) { | |
ArrayList<TreeNode> leftTree = generate(start, i - 1); | |
ArrayList<TreeNode> rightTree = generate(i + 1, end); | |
for (TreeNode left : leftTree) { | |
for (TreeNode right : rightTree) { | |
TreeNode root = new TreeNode(i); | |
root.left = left; | |
root.right = right; | |
result.add(root); | |
} | |
} | |
} | |
return result; | |
} | |
// TreeNode | |
private class TreeNode { | |
int val; | |
TreeNode left; | |
TreeNode right; | |
TreeNode (int x) { | |
val = x; | |
} | |
} | |
} |
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