Monday, April 14, 2014

Unique Binary Search Trees II @LeetCode

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.
   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.
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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