Given an integer array nums where the elements are sorted in ascending order, convert it to a height-balanced binary search tree.
A height-balanced binary tree is a binary tree in which the depth of the two subtrees of every node never differs by more than one.
Example 1:
Input: nums = [-10,-3,0,5,9] Output: [0,-3,9,-10,null,5] Explanation: [0,-10,5,null,-3,null,9] is also accepted:![]()
Example 2:
Input: nums = [1,3] Output: [3,1] Explanation: [1,null,3] and [3,1] are both height-balanced BSTs.
Constraints:
1 <= nums.length <= 104-104 <= nums[i] <= 104nums is sorted in a strictly increasing order./**
* Definition for a binary tree node.
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode() : val(0), left(nullptr), right(nullptr) {}
* TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
* TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
* };
*/
class Solution {
public:
TreeNode* solve(vector<int>&nums, int i, int j){
if(i>j) return NULL;
int mid = (i+j)/2;
auto root = new TreeNode(nums[mid]);
root->left = solve(nums, i, mid-1);
root->right = solve(nums, mid+1, j);
return root;
}
TreeNode* sortedArrayToBST(vector<int>& nums) {
return solve(nums, 0, nums.size()-1);
}
};