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Description:
Given a binary tree
struct TreeLinkNode {
TreeLinkNode *left;
TreeLinkNode *right;
TreeLinkNode *next;
}
Populate each next pointer to point to its next right node. If there is no next right node, the next pointer should be set to NULL
.
Initially, all next pointers are set to NULL
.
Note:
For example,
Given the following perfect binary tree,
1
/ 2 3
/ \ / 4 5 6 7
After calling your function, the tree should look like:
1 -> NULL / 2 -> 3 -> NULL / \ / 4->5->6->7 -> NULL
看到这个题目首先想到的是按层遍历二叉树,然后对每一层做处理,但是仔细读题发现这个做法不好,因为题目要求空间复杂度是O(1):
因为题目还有一个条件就是所给二叉树是一个满二叉树:
这样可以很容易想到一个非常简单类似前序遍历的方法:
/** * Definition for binary tree with next pointer. * public class TreeLinkNode { * int val; * TreeLinkNode left, right, next; * TreeLinkNode(int x) { val = x; } * } */ public class Solution { public void connect(TreeLinkNode root) { if(root == null || root.left == null) { return ; } root.left.next = root.right; if(root.next != null) { root.right.next = root.next.left; } connect(root.left); connect(root.right); return; } }
虽然上边这种解法是可以AC的,但是也不符合题意,因为这种解法要消耗O(logh)的辅助递归栈空间。
这样的话就要消去递归用循环来写就行了。这样空间复杂度就是O(1),时间复杂度是O(logh);
代码:
/** * Definition for binary tree with next pointer. * public class TreeLinkNode { * int val; * TreeLinkNode left, right, next; * TreeLinkNode(int x) { val = x; } * } */ public class Solution { public void connect(TreeLinkNode root) { if(root == null || root.left == null) { return ; } TreeLinkNode cur; while(root.left != null) { //深度优先遍历左子树,目的是获取每一层的第一个节点 cur = root; while(cur != null) { //遍历一层的每一个节点,并用next指针连接 cur.left.next = cur.right; if(cur.next != null) { cur.right.next = cur.next.left; } cur = cur.next; } root = root.left; } return; } }
这题数据很水,递归也能过。
LeetCode——Populating Next Right Pointers in Each Node
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原文地址:http://www.cnblogs.com/wxisme/p/4847452.html