109. Convert Sorted List to Binary Search Tree 有序链表转换二叉搜索树

题目地址:https://leetcode.com/problems/convert-sorted-list-to-binary-search-tree/description/

题目描述:

Given a singly linked list where elements are sorted in ascending order, convert it to a height balanced BST.

Forthis problem, a height-balanced binary tree is defined as a binary tree in which the depth of the two subtrees of every node never differ by more than 1.

Example:

Given the sorted linked list: [-10,-3,0,5,9],

Onepossible answer is: [0,-3,9,-10,null,5], which represents the following height balanced BST:

      0
     / \
   -3   9
   /   /
 -10  5

题目大意

把一个单链表转成二叉平衡树。二叉平衡树是左右子树的高度差最多为1.

解题方法

这个题目和108. Convert Sorted Array to Binary Search Treeopen in new window基本一模一样啊!所以毫无疑问地,我把链表转成了数组,然后再用108题的做法就过了。

而且这个题神奇的地方在于,使用python2超时,但是使用Python3就通过了。以后还是尽量用python3比较好吧。。

哦对,python3要用地板除。

# Definition for singly-linked list.
# class ListNode:
#     def __init__(self, x):
#         self.val = x
#         self.next = None

# Definition for a binary tree node.
# class TreeNode:
#     def __init__(self, x):
#         self.val = x
#         self.left = None
#         self.right = None

class Solution:
    def sortedListToBST(self, head):
        """
        :type head: ListNode
        :rtype: TreeNode
        """
        nums = []
        while head:
            nums.append(head.val)
            head = head.next
        return self.helper(nums)
        
    def helper(self, nums):
        if not nums: return None
        _len = len(nums)
        mid = _len // 2
        root = TreeNode(nums[mid])
        root.left = self.helper(nums[:mid])
        root.right = self.helper(nums[mid+1:])
        return root

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