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108. Convert Sorted Array to Bin

108. Convert Sorted Array to Bin

作者: bin_guo | 来源:发表于2018-07-23 03:13 被阅读0次

    Leetcode: 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.
    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.

    Example:

    Given the sorted array: [-10,-3,0,5,9] ,
    One possible answer is: [0,-3,9,-10,null,5], which represents the following height balanced BST:

          0
         / \
       -3   9
       /   /
     -10  5
    
    Solution:
    /**
     * Definition for a binary tree node.
     * public class TreeNode {
     *     int val;
     *     TreeNode left;
     *     TreeNode right;
     *     TreeNode(int x) { val = x; }
     * }
     */
    class Solution {
        public TreeNode sortedArrayToBST(int[] nums) {
            return sortedArrayToBST(nums, 0, nums.length - 1);
        }
        
        private TreeNode sortedArrayToBST(int[] nums, int first, int last) {
            if(first > last)
                return null;
            int mid = (first+last)/2;
            TreeNode node = new TreeNode(nums[mid]);
            node.left = sortedArrayToBST(nums, first, mid - 1);
            node.right = sortedArrayToBST(nums, mid + 1, last);
            return node;
        }
    }
    

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