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0061. 旋转链表

题目地址(61. 旋转链表)

https://leetcode-cn.com/problems/rotate-list/

题目描述

给定一个链表,旋转链表,将链表每个节点向右移动 k 个位置,其中 k 是非负数。示例 1:输入: 1->2->3->4->5->NULL, k = 2输出: 4->5->1->2->3->NULL解释:向右旋转 1 步: 5->1->2->3->4->NULL向右旋转 2 步: 4->5->1->2->3->NULL示例 2:输入: 0->1->2->NULL, k = 4输出: 2->0->1->NULL解释:向右旋转 1 步: 2->0->1->NULL向右旋转 2 步: 1->2->0->NULL向右旋转 3 步: 0->1->2->NULL向右旋转 4 步: 2->0->1->NULL

快慢指针法

前置知识

  • 求单链表的倒数第 N 个节点

思路一

  1. 采用快慢指

  2. 快指针与慢指针都以每步一个节点的速度向后遍历

  3. 快指针比慢指针先走 N 步

  4. 当快指针到达终点时,慢指针正好是倒数第 N 个节点

思路一代码

  • 伪代码

快指针 = head;慢指针 = head;while (快指针.next) {  if (N-- <= 0) {    慢指针 = 慢指针.next;  }  快指针 = 快指针.next;}
  • 语言支持: JS

JS Code:

let slow = (fast = head);while (fast.next) {  if (k-- <= 0) {    slow = slow.next;  }  fast = fast.next;}

思路二

  1. 获取单链表的倒数第 N + 1 与倒数第 N 个节点

  2. 将倒数第 N + 1 个节点的 next 指向 null

  3. 将链表尾节点的 next 指向 head

  4. 返回倒数第 N 个节点

例如链表 A -> B -> C -> D -> E 右移 2 位,依照上述步骤为:

  1. 获取节点 C 与 D

  2. A -> B -> C -> null, D -> E

  3. D -> E -> A -> B -> C -> nul

  4. 返回节点 D

注意:假如链表节点长度为 len,则右移 K 位与右移动 k % len 的效果是一样的就像是长度为 1000 米的环形跑道,你跑 1100 米与跑 100 米到达的是同一个地点

思路二代码

  • 伪代码

  获取链表的长度  k = k % 链表的长度  获取倒数第k + 1,倒数第K个节点与链表尾节点  倒数第k + 1个节点.next = null  链表尾节点.next = head  return 倒数第k个节点
  • 语言支持: JS, JAVA, Python, CPP, Go, PHP

JS Code:

var rotateRight = function (head, k) {  if (!head || !head.next) return head;  let count = 0,    now = head;  while (now) {    now = now.next;    count++;  }  k = k % count;  let slow = (fast = head);  while (fast.next) {    if (k-- <= 0) {      slow = slow.next;    }    fast = fast.next;  }  fast.next = head;  let res = slow.next;  slow.next = null;  return res;};

JAVA Code:

class Solution {    public ListNode rotateRight(ListNode head, int k) {        if(head == null || head.next == null) return head;        int count = 0;        ListNode now = head;        while(now != null){            now = now.next;            count++;        }        k = k % count;        ListNode slow = head, fast = head;        while(fast.next != null){            if(k-- <= 0){                slow = slow.next;            }            fast = fast.next;        }        fast.next = head;        ListNode res = slow.next;        slow.next = null;        return res;    }}

Python Code:

class Solution:    def rotateRight(self, head: ListNode, k: int) -> ListNode:        # 双指针        if head:            p1 = head            p2 = head            count = 1            i = 0            while i < k:                if p2.next:                    count += 1                    p2 = p2.next                else:                    k = k % count                    i = -1                    p2 = head                i += 1            while p2.next:                p1 = p1.next                p2 = p2.next            if p1.next:                tmp = p1.next            else:                return head            p1.next = None            p2.next = head            return tmp

CPP Code:

class Solution {    int getLength(ListNode *head) {        int len = 0;        for (; head; head = head->next, ++len);        return len;    }public:    ListNode* rotateRight(ListNode* head, int k) {        if (!head) return NULL;        int len = getLength(head);        k %= len;        if (k == 0) return head;        auto p = head, q = head;        while (k--) q = q->next;        while (q->next) {            p = p->next;            q = q->next;        }        auto h = p->next;        q->next = head;        p->next = NULL;        return h;    }};

Go Code:

/** * Definition for singly-linked list. * type ListNode struct { *     Val int *     Next *ListNode * } */func rotateRight(head *ListNode, k int) *ListNode {    if head == nil || head.Next == nil {        return head    }    n := 0    p := head    for p != nil {        n++        p = p.Next    }    k = k % n    // p 为快指针, q 为慢指针    p = head    q := head    for p.Next!=nil {        p = p.Next        if k>0 {            k--        } else {            q = q.Next        }    }    // 更新指针    p.Next = head    head = q.Next    q.Next = nil    return head}

PHP Code:

/** * Definition for a singly-linked list. * class ListNode { *     public $val = 0; *     public $next = null; *     function __construct($val) { $this->val = $val; } * } */class Solution{    /**     * @param ListNode $head     * @param Integer $k     * @return ListNode     */    function rotateRight($head, $k)    {        if (!$head || !$head->next) return $head;        $p = $head;        $n = 0;        while ($p) {            $n++;            $p = $p->next;        }        $k = $k % $n;        $p = $q = $head; // $p 快指针; $q 慢指针        while ($p->next) {            $p = $p->next;            if ($k > 0) $k--;            else $q = $q->next;        }        $p->next = $head;        $head = $q->next;        $q->next = null;        return $head;    }}

复杂度分析

  • 时间复杂度:节点最多只遍历两遍,时间复杂度为$O(N)$

  • 空间复杂度:未使用额外的空间,空间复杂度$O(1)$

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