Solution: recursion
把一个数组看成一棵树(也就是以中点为根,左右为左右子树,依次下去)数组就等价于一个二分查找树。
把中间元素转化为根,然后递归构造左右子树。用二叉树递归的方法来实现,以根作为返回值,每层递归函数取中间元素,作为当前根和赋上结点值,然后左右结点接上左右区间的递归函数返回值。
时间复杂度还是一次树遍历O(n),总的空间复杂度是栈空间O(logn), stack space.
/**
* Definition for binary tree
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/
public class Solution {
public TreeNode sortedArrayToBST(int[] num) {
if(num == null || num.length == 0)
return null;
return sortHelper(num, 0, num.length - 1);
}
public TreeNode sortHelper(int[] num, int start, int end) {
if(start > end)
return null;
int mid = (start + end) / 2;
TreeNode root = new TreeNode(num[mid]);
root.left = sortHelper(num, start, mid - 1);
root.right = sortHelper(num, mid + 1, end);
return root;
}
}
No comments:
Post a Comment