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。力扣原文
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]]
解题
var generateTrees = function(n) {
if(n===0)return []
let getBSTnum=(left,right)=>{
if(left>right)return [null]
if(left===right)return [new TreeNode(left)]
let result=[]
for (let i = left; i <= right; i++) {
let leftTr = getBSTnum(left , i-1)
let rightTr = getBSTnum(i+1,right)
for (const leftNode of leftTr) {
for (const rightNode of rightTr) {
let root = new TreeNode(i)
root.right= rightNode
root.left= leftNode
result.push(root)
}
}
}
return result
}
return getBSTnum(1,n)
};