108. Convert Sorted Array to Binary Search Tree

Given an array where elements are sorted in ascending order, convert it to a height balanced BST.

把一個排序過的array轉成一個高度平衡二元搜尋樹中。

coding的邏輯

由於是sorted過的array 所以只要將最中間的元素當成root 然後一直不斷的遞迴下去

/**
 * 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* ArrayToBST(vector<int>& nums, int begin, int end)
    {
        if (begin > end)
        {
            return nullptr;
        }
        
        int mid = (end + begin)/2;
        TreeNode* root = new TreeNode(nums[mid]);
        
        root->left = ArrayToBST(nums, begin, mid - 1);
        root->right = ArrayToBST(nums, mid + 1, end);

        return root;
    }
    
    TreeNode* sortedArrayToBST(vector<int>& nums)
    {
        return ArrayToBST(nums, 0, nums.size() - 1);
    }
};