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/*
Author: Andy, nkuwjg@gmail.com
Date: Jan 29, 2015
Problem: Convert Sorted Array to Binary Search Tree
Difficulty: Medium
Source: https://oj.leetcode.com/problems/convert-sorted-array-to-binary-search-tree/
Notes:
Given an array where elements are sorted in ascending order, convert it to a height balanced BST.
Solution: Recursion. 1. preorder
2. inorder
*/
/**
* Definition for binary tree
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/
public class Solution {
public TreeNode sortedArrayToBST_1(int[] num) {
return sortedArrayToBSTRe(num, 0, num.length - 1);
}
public TreeNode sortedArrayToBSTRe(int[] num, int left, int right) {
if (left > right) return null;
if (left == right) return new TreeNode(num[left]);
int mid = (left + right) / 2;
TreeNode node = new TreeNode(num[mid]);
node.left = sortedArrayToBSTRe(num, left, mid - 1);
node.right = sortedArrayToBSTRe(num, mid + 1, right);
return node;
}
public TreeNode sortedArrayToBST(int[] num) {
int[] curidx = new int[1];
curidx[0] = 0;
return sortedArrayToBSTRe1(num, num.length, curidx);
}
public TreeNode sortedArrayToBSTRe1(int[] num, int len, int[] curidx) {
if (len == 0) return null;
if (len == 1) return new TreeNode(num[curidx[0]++]);
int mid = len / 2;
TreeNode left = sortedArrayToBSTRe1(num, mid, curidx);
TreeNode node = new TreeNode(num[curidx[0]++]);
node.left = left;
node.right = sortedArrayToBSTRe1(num, len - 1 - mid, curidx);
return node;
}
}
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