[leetcode]108. Convert Sorted Array to Binary Search Tree

本文介绍如何将一个升序排列的数组转换为高度平衡的二叉搜索树。平衡二叉树是一种特殊的二叉树,其中每个节点的两个子树的深度相差不超过1。通过递归方式选择中间元素作为根节点,实现树的平衡。

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[leetcode]108. Convert Sorted Array to Binary Search Tree


Analysis

组会又被怼了—— [哎~]

Given an array where elements are sorted in ascending order, convert it to a height balanced BST.
For this 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.
这题是用递归法构建一个平衡二叉树
平衡二叉树:a binary tree in which the depth of the two subtrees of every node never differ by more than 1.

Implement

/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
 * };
 */
class Solution {
public:
    TreeNode* sortedArrayToBST(vector<int>& nums) {
        if(nums.size()==0)
            return NULL;
        return myBST(nums, 0, nums.size()-1);
    }
    TreeNode* myBST(vector<int>& nums, int l, int r){
        if(l > r)
            return NULL;
        int mid = (l+r)/2;
        TreeNode* root = new TreeNode(nums[mid]);
        root->left = myBST(nums, l, mid-1);
        root->right = myBST(nums, mid+1, r);
        return root;
    }
};
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