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LeetCode 95. Unique Binary Search Trees II

题目如下:

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

 

思路: 

递归产生子树,感觉这题很经典。 容易出错的地方有:

(1) if(n<=0) 要判断,否则,n=0的测试结果是 [[]] ,而正确应该返回 []  

(2) if (s > e) {res.add(null);} 这里不能直接{return null;}

 

本题代码:

import java.util.ArrayList;import java.util.List;/** * Created by yuanxu on 17/4/13. */public class DP95 {    public static List<TreeNode> generateTrees(int n) {        if (n <= 0) return new ArrayList<>();        return generateSubtrees(1, n);    }    private static List<TreeNode> generateSubtrees(int s, int e) {        List<TreeNode> res = new ArrayList<TreeNode>();        if (s > e) { res.add(null); }        for (int i=s; i<=e; ++i) {            List<TreeNode> leftTrees = generateSubtrees(s, i-1);            List<TreeNode> rightTrees = generateSubtrees(i+1, e);            for (TreeNode left : leftTrees) {                for (TreeNode right : rightTrees) {                    TreeNode root = new TreeNode(i);                    root.left = left;                    root.right = right;                    res.add(root);                }            }        }        return res;    }    static class TreeNode {        int val;        TreeNode left;        TreeNode right;        TreeNode(int x) { val = x; }    }    /**     * @test     */    public static void main(String args[]) {        int n = 0;        System.out.println(generateTrees(n).get(0).val);    }}

 

ref : https://discuss.leetcode.com/topic/3079/a-simple-recursive-solution

LeetCode 95. Unique Binary Search Trees II