给你一个整数 n ,请你生成并返回所有由 n 个节点组成且节点值从 1 到 n 互不相同的不同 二叉搜索树 。可以按 任意顺序 返回答案。
示例 1:
输入:n = 3
输出:[[1,null,2,null,3],[1,null,3,2],[2,1,3],[3,1,null,null,2],[3,2,null,1]]
示例 2:
输入:n = 1
输出:[[1]]
提示:
1 <= n <= 8
代码实现
/**
* Definition for a binary tree node.
* function TreeNode(val, left, right) {
* this.val = (val===undefined ? 0 : val)
* this.left = (left===undefined ? null : left)
* this.right = (right===undefined ? null : right)
* }
*/
/**
* @param {number} n
* @return {TreeNode[]}
*/
function build(lo, hi) {
let res = [];
if (lo > hi) {
res.push(null);
return res;
}
for (let i = lo; i <= hi; i++) {
let leftTree = build(lo, i - 1);
let rightTree = build(i + 1, hi);
for (let left of leftTree) {
for (let right of rightTree) {
let root = new TreeNode(i);
root.left = left;
root.right = right;
res.push(root);
}
}
}
return res;
}
var generateTrees = function (n) {
if (n == 0) return [];
return build(1, n);
};