题目:
给一个排序数组(从小到大),将其转换为一棵高度最小的排序二叉树。
样例
给出数组 [1,2,3,4,5,6,7]
, 返回
4 / \ 2 6 / \ / \1 3 5 7
挑战 View Code View Code
可能有多个答案,返回任意一个即可
解题:
可以看出,这里的数组是所求二叉树,中序遍历的结果,把这个结果还原成树即可。曾经天勤数据结果好像有这一题。
Java程序:
/** * Definition of TreeNode: * public class TreeNode { * public int val; * public TreeNode left, right; * public TreeNode(int val) { * this.val = val; * this.left = this.right = null; * } * } */ public class Solution { /** * @param nums: an integer array * @return: a tree node */ public TreeNode sortedArrayToBST(int[] nums) { // write your code here if(nums==null) return null; return buildTree(nums,0,nums.length - 1); } public TreeNode buildTree(int[] nums,int start,int end){ if(start>end) return null; int median = (start+end)/2; TreeNode node = new TreeNode(nums[median]); node.left = buildTree(nums,start,median-1); node.right = buildTree(nums,median+1,end); return node; }}
总耗时: 2855 ms
Python程序:
"""Definition of TreeNode:class TreeNode: def __init__(self, val): self.val = val self.left, self.right = None, None"""class Solution: """ @param nums: a list of integer @return: a tree node """ def sortedArrayToBST(self, nums): # write your code here if nums==None: return None return self.buildTree(nums,0,len(nums)-1) def buildTree(self,nums,start,end): if start>end: return None median = (start+end)//2 node = TreeNode(nums[median]) node.left = self.buildTree(nums,start,median-1) node.right = self.buildTree(nums,median+1,end) return node
总耗时: 869 ms