题目:
给你一个链表,每 k 个节点一组进行翻转,请你返回翻转后的链表。
k 是一个正整数,它的值小于或等于链表的长度。
如果节点总数不是 k 的整数倍,那么请将最后剩余的节点保持原有顺序。
进阶:
你可以设计一个只使用常数额外空间的算法来解决此问题吗?
你不能只是单纯的改变节点内部的值,而是需要实际进行节点交换。
示例 1:
输入:head = [1,2,3,4,5], k = 2
输出:[2,1,4,3,5]
示例 2:
输入:head = [1,2,3,4,5], k = 3
输出:[3,2,1,4,5]
示例 3:
输入:head = [1,2,3,4,5], k = 1
输出:[1,2,3,4,5]
示例 4:
输入:head = [1], k = 1
输出:[1]
提示:
列表中节点的数量在范围 sz 内
1 <= sz <= 5000
0 <= Node.val <= 1000
1 <= k <= sz
解法1:迭代
/**
* 思路:
* 每k个节点反转一次
* 用count记录当前节点数,每k个节点的时候归零一次
* 用反转后的尾节点指向下个节点next
* 反转前一定要让当前的尾节点指向null,方便进行反转
* 设置前驱节点pre,始终指向反转后的头结点
* 不断循环这个过程,直到curr==null
*/
public static ListNode reverseKGroup(ListNode head, int k) {
int count = 0;
ListNode pre = new ListNode(-1);
ListNode dummy = pre;
pre.next = head;
ListNode curr = head;
while (curr != null) {
if (count == k - 1) {
ListNode next = curr.next;
curr.next = null;
count = 0;
curr = reverse(head);
// curr=reverse_pre(head);
// curr=reverse_recursive(head);
pre.next = curr;
head.next = next;
pre = head;
head = next;
curr = next;
} else {
curr = curr.next;
count++;
}
}
return dummy.next;
}
private static ListNode reverse(ListNode head) {
if (head == null) {
return head;
}
ListNode curr = head;
ListNode next = curr.next;
while (next != null) {
ListNode nn = next.next;
next.next = curr;
head.next = nn;
curr = next;
next = nn;
}
return curr;
}
private static ListNode reverse_pre(ListNode head) {
ListNode pre = null;
ListNode curr = head;
while (curr != null) {
ListNode next = curr.next;
curr.next = pre;
pre = curr;
curr = next;
}
return pre;
}
private static ListNode reverse_recursive(ListNode head) {
if (head == null || head.next == null) {
return head;
}
ListNode tail = reverse_recursive(head.next);
head.next.next = head;
head.next = null;
return tail;
}
时间复杂度:On
空间复杂度:O1
解法2:递归
/**
* 思路:
* 递归的确定每一组
* 之后就反转每一组
*
* 首先走到下一组的头节点
* 判断这个过程中进行了几次操作
* 如果比k小,直接返回头节点,说明当前节点不够成组
* 比k大继续,说明已经成组了,继续找下一组
* 进行反转,头结点指向下一组的头节点,nextGroup_reverseHead和head进行移动,重新指向k次
*
*/
public static ListNode reverseKGroup(ListNode head, int k) {
int count=0;
ListNode nextGroup_head = head;
while (count!=k&&nextGroup_head!=null){
nextGroup_head=nextGroup_head.next;
count++;
}
if (count!=k){
return head;
}else {
ListNode nextGroup_reverseHead = reverseKGroup(nextGroup_head, k);
while (count!=0){
ListNode next = head.next;
head.next=nextGroup_reverseHead;
nextGroup_reverseHead=head;
head=next;
count--;
}
return nextGroup_reverseHead;
}
}
时间复杂度:On
空间复杂度:On