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b/0024-Swap-Nodes-in-Pairs/Article/0024-Swap-Nodes-in-Pairs2.md new file mode 100644 index 00000000..b0144ca0 --- /dev/null +++ b/0024-Swap-Nodes-in-Pairs/Article/0024-Swap-Nodes-in-Pairs2.md @@ -0,0 +1,128 @@ +# LeetCode 第 24 号问题:两两交换链表中的节点 + +> 本文首发于公众号「图解面试算法」,是 [图解 LeetCode ]() 系列文章之一。 +> +> 同步博客:https://www.algomooc.com + +题目来源于 LeetCode 上第 24 号问题:两两交换链表中的节点。 + +### 题目描述 + +给定一个链表,两两交换其中相邻的节点,并返回交换后的链表。 + +**你不能只是单纯的改变节点内部的值**,而是需要实际的进行节点交换。 + +**示例:** + +``` +给定 1->2->3->4, 你应该返回 2->1->4->3. +``` + +### 题目解析 - 迭代法 + +由题目描述可知需要两两交换, 那么以两个为一组子链表交换指针即可, 在设置一个 **哨兵** 指向交换后的子链表 (或者哨兵提前指向子链表的第二个节点,因为第二个节点交换后就成了第一个节点); 然后让哨兵指向下一组子链表,继续交换,直至最后. + +设 **哨兵** 为 节点 `prev`, 子链表第一个节点为 `A`, 第二个节点为 `B`, 第三个节点为 `C`, 那么操作流程如下: + +- 终止条件 `head == null && head -> next == null` + 1. prev -> B ( A -> B -> C ) + 2. A - > C + 3. B -> A ( prev -> B -> A -> C ) + 4. prev -> A + 5. head -> C + 6. 循环以上步骤 + +### 动画描述 + +![](https://blog-1257126549.cos.ap-guangzhou.myqcloud.com/blog/6kpyu.gif) + +### 代码实现 + +```javascript +/** + * JavaScript描述 + * 迭代法 + */ +var swapPairs = function(head) { + let dummy = new ListNode(0); + dummy.next = head; + + let prevNode = dummy; + + while (head !== null && head.next !== null) { + // Nodes to be swapped + let firstNode = head, + secondNode = head.next; + // Swapping + prevNode.next = secondNode; // 放到交换前后都可以 + firstNode.next = secondNode.next; + secondNode.next = firstNode; + // Reinitializing the head and prevNode for next swap + prevNode = firstNode; + head = firstNode.next; + } + return dummy.next; +}; +``` + +### 复杂度分析 + +- 时间复杂度:**O(N)**,其中 *N* 指的是链表的节点数量 +- 空间复杂度:**O(1)** + +### 题目解析 - 递归 + +递归的思路和迭代类似, 都是分组交换. 具体来说这里的递归不是针对一个问题深入进去,而是不断向后推进. + +- 每次递归只交换一对节点 +- 下一次递归则是交换下一对节点 +- 交换完成后返回第二个节点, 因为它是交换后的子链表新头 +- 递归完成后返回第一次递归的第二个节点, 这就是新链表的头结点 + +**注意:** 不要人肉递归, 更多关注整体逻辑 + +示例执行大致流程为: + +- 终止条件: `(head == null) || (head.next == null)` + 1. 1 -> 2 -> 3 -> 4 ( 原始链表 ) + 2. 1 -> 3 -> 4 + 3. ( 2 -> 1 ) -> 3 -> 4 ( 第一次递归完成后返回原来的第二个节点, 也就是值为 2 的节点 ) + 4. 2 -> 1 -> 3 -> null + 5. 2 -> 1 -> ( 4 -> 3 ) ( 第二次递归完成后返回原来的第二个节点, 也就是值为 4 的节点 ) + +### 动画描述 + + + +### 代码实现 + +```javascript +/** + * JavaScript描述 + * 递归法 + */ +var swapPairs = function(head) { + if (head == null || head.next == null) { + return head; + } + // Nodes to be swapped + let firstNode = head, + secondNode = head.next; + // Swapping + firstNode.next = swapPairs(secondNode.next); + secondNode.next = firstNode; + + return secondNode; + +}; +``` + +### 复杂度分析 + +- 时间复杂度:**O(N)**,其中 *N* 指的是链表的节点数量 +- 空间复杂度:**O(N)**, 递归过程使用的堆栈空间 + + + +![](../../Pictures/qrcode.jpg) + From c49a93973787a5e81fc5aa08ddf37d134ec85722 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E7=8E=8B=E5=AD=90=E9=80=9A?= Date: Mon, 27 Apr 2020 17:08:42 +0800 Subject: [PATCH 2/3] 0024 Solved --- .../Animation/0015-3Sum.m4v | Bin 2613411 -> 0 bytes .../Animation/0024-Swap-Nodes-in-Pairs-1.m4v | Bin 0 -> 1520659 bytes 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