我一直在为一个类的Java项目工作。它是链表的实现（此处称为AddressList，包含名为ListNode的简单节点）。问题在于，所有事情都必须通过递归算法来完成。我能用一种方法完成所有事情：public AddressList reverse()
ListNode：
public class ListNode{
public String data;
public ListNode next;
}
现在我的reverse函数只调用一个辅助函数，该函数接受一个允许递归的参数。
public AddressList reverse(){
return new AddressList(this.reverse(this.head));
}
我的帮助函数的签名为private ListNode reverse(ListNode current)。
目前，我使用堆栈迭代地工作，但这不是规范要求的。我在C中找到了一个递归反转的算法，并手工将其转换为Java代码，但是它有效，但我对此一无所知。
编辑：没关系，我在此期间想到了它。
private AddressList reverse(ListNode current, AddressList reversedList){
if(current == null)
return reversedList;
reversedList.addToFront(current.getData());
return this.reverse(current.getNext(), reversedList);
}
虽然我在这里，有没有人看到这条路线有任何问题？
答案 0 :(得分：309)
在一个回复中有代码说明了这一点，但你可能会发现通过询问和回答微小问题（这是The Little Lisper中的方法）从下往上开始更容易：
public ListNode Reverse(ListNode list)
{
if (list == null) return null; // first question
if (list.next == null) return list; // second question
// third question - in Lisp this is easy, but we don't have cons
// so we grab the second element (which will be the last after we reverse it)
ListNode secondElem = list.next;
// bug fix - need to unlink list from the rest or you will get a cycle
list.next = null;
// then we reverse everything from the second element on
ListNode reverseRest = Reverse(secondElem);
// then we join the two lists
secondElem.next = list;
return reverseRest;
}
答案 1 :(得分：29)
我在接受采访时被问到这个问题，并且因为我有点紧张而感到烦恼，因为我有点紧张。
这应该反转一个单链表，用反向调用（head，NULL）; 所以如果这是你的清单：
1->2->3->4->5->null it would become: 5->4->3->2->1->null
//Takes as parameters a node in a linked list, and p, the previous node in that list
//returns the head of the new list
Node reverse(Node n,Node p){
if(n==null) return null;
if(n.next==null){ //if this is the end of the list, then this is the new head
n.next=p;
return n;
}
Node r=reverse(n.next,n); //call reverse for the next node,
//using yourself as the previous node
n.next=p; //Set your next node to be the previous node
return r; //Return the head of the new list
}
编辑：我已经完成了6次编辑，显示它对我来说仍然有点棘手lol
答案 2 :(得分：21)
我得到了一半（直到null，并且是plinth建议的一个节点），但在进行递归调用后丢失了轨道。然而，在阅读了plinth的帖子之后，我想出了这个：
Node reverse(Node head) {
// if head is null or only one node, it's reverse of itself.
if ( (head==null) || (head.next == null) ) return head;
// reverse the sub-list leaving the head node.
Node reverse = reverse(head.next);
// head.next still points to the last element of reversed sub-list.
// so move the head to end.
head.next.next = head;
// point last node to nil, (get rid of cycles)
head.next = null;
return reverse;
}
答案 3 :(得分：9)
这是另一种递归解决方案。它在递归函数中的代码少于其他函数，所以它可能会快一点。这是C＃，但我相信Java会非常相似。
class Node<T>
{
Node<T> next;
public T data;
}
class LinkedList<T>
{
Node<T> head = null;
public void Reverse()
{
if (head != null)
head = RecursiveReverse(null, head);
}
private Node<T> RecursiveReverse(Node<T> prev, Node<T> curr)
{
Node<T> next = curr.next;
curr.next = prev;
return (next == null) ? curr : RecursiveReverse(curr, next);
}
}
答案 4 :(得分：8)
算法将需要处理以下模型，
结构：
Head
|
1-->2-->3-->4-->N-->null
null-->1-->2-->3-->4-->N<--null
null-->1-->2-->3-->4<--N<--null
null-->1-->2-->3<--4<--N<--null
null-->1-->2<--3<--4<--N<--null
null-->1<--2<--3<--4<--N<--null
null<--1<--2<--3<--4<--N
|
Head
代码：
public ListNode reverse(ListNode toBeNextNode, ListNode currentNode)
{
ListNode currentHead = currentNode; // keep track of the head
if ((currentNode==null ||currentNode.next==null )&& toBeNextNode ==null)return currentHead; // ignore for size 0 & 1
if (currentNode.next!=null)currentHead = reverse(currentNode, currentNode.next); // travarse till end recursively
currentNode.next = toBeNextNode; // reverse link
return currentHead;
}
输出：
head-->12345
head-->54321
答案 5 :(得分：7)
我认为这是更清洁的解决方案，类似于LISP
// Example:
// reverse0(1->2->3, null) =>
// reverse0(2->3, 1) =>
// reverse0(3, 2->1) => reverse0(null, 3->2->1)
// once the first argument is null, return the second arg
// which is nothing but the reveresed list.
Link reverse0(Link f, Link n) {
if (f != null) {
Link t = new Link(f.data1, f.data2);
t.nextLink = n;
f = f.nextLink; // assuming first had n elements before,
// now it has (n-1) elements
reverse0(f, t);
}
return n;
}
答案 6 :(得分：7)
我知道这是一个旧帖子，但大多数答案都不是尾递归的，即它们在从递归调用返回后执行一些操作，因此效率不高。
这是一个尾递归版本：
public Node reverse(Node previous, Node current) {
if(previous == null)
return null;
if(previous.equals(head))
previous.setNext(null);
if(current == null) { // end of list
head = previous;
return head;
} else {
Node temp = current.getNext();
current.setNext(previous);
reverse(current, temp);
}
return null; //should never reach here.
}
致电：
Node newHead = reverse(head, head.getNext());
答案 7 :(得分：4)
void reverse(node1,node2){
if(node1.next!=null)
reverse(node1.next,node1);
node1.next=node2;
}
call this method as reverse(start,null);
答案 8 :(得分：4)
public Node reverseListRecursive(Node curr)
{
if(curr == null){//Base case
return head;
}
else{
(reverseListRecursive(curr.next)).next = (curr);
}
return curr;
}
答案 9 :(得分：3)
public void reverse() {
head = reverseNodes(null, head);
}
private Node reverseNodes(Node prevNode, Node currentNode) {
if (currentNode == null)
return prevNode;
Node nextNode = currentNode.next;
currentNode.next = prevNode;
return reverseNodes(currentNode, nextNode);
}
答案 10 :(得分：2)
public static ListNode recRev(ListNode curr){
if(curr.next == null){
return curr;
}
ListNode head = recRev(curr.next);
curr.next.next = curr;
curr.next = null;
// propogate the head value
return head;
}
答案 11 :(得分：2)
这是一个简单的迭代方法：
public static Node reverse(Node root) {
if (root == null || root.next == null) {
return root;
}
Node curr, prev, next;
curr = root; prev = next = null;
while (curr != null) {
next = curr.next;
curr.next = prev;
prev = curr;
curr = next;
}
return prev;
}
这是递归方法：
public static Node reverseR(Node node) {
if (node == null || node.next == null) {
return node;
}
Node next = node.next;
node.next = null;
Node remaining = reverseR(next);
next.next = node;
return remaining;
}
答案 12 :(得分：2)
此解决方案证明不需要参数。
/**
* Reverse the list
* @return reference to the new list head
*/
public LinkNode reverse() {
if (next == null) {
return this; // Return the old tail of the list as the new head
}
LinkNode oldTail = next.reverse(); // Recurse to find the old tail
next.next = this; // The old next node now points back to this node
next = null; // Make sure old head has no next
return oldTail; // Return the old tail all the way back to the top
}
以下是支持代码，以证明其有效：
public class LinkNode {
private char name;
private LinkNode next;
/**
* Return a linked list of nodes, whose names are characters from the given string
* @param str node names
*/
public LinkNode(String str) {
if ((str == null) || (str.length() == 0)) {
throw new IllegalArgumentException("LinkNode constructor arg: " + str);
}
name = str.charAt(0);
if (str.length() > 1) {
next = new LinkNode(str.substring(1));
}
}
public String toString() {
return name + ((next == null) ? "" : next.toString());
}
public static void main(String[] args) {
LinkNode head = new LinkNode("abc");
System.out.println(head);
System.out.println(head.reverse());
}
}
答案 13 :(得分：2)
通过递归算法反转。
public ListNode reverse(ListNode head) {
if (head == null || head.next == null) return head;
ListNode rHead = reverse(head.next);
rHead.next = head;
head = null;
return rHead;
}
迭代
public ListNode reverse(ListNode head) {
if (head == null || head.next == null) return head;
ListNode prev = null;
ListNode cur = head
ListNode next = head.next;
while (next != null) {
cur.next = prev;
prev = cur;
cur = next;
next = next.next;
}
return cur;
}
答案 14 :(得分：1)
PointZeroTwo得到了优雅的回答＆amp;在Java中也一样......
public void reverseList(){
if(head!=null){
head = reverseListNodes(null , head);
}
}
private Node reverseListNodes(Node parent , Node child ){
Node next = child.next;
child.next = parent;
return (next==null)?child:reverseListNodes(child, next);
}
答案 15 :(得分：1)
由于Java总是按值传递，要以递归方式反转Java中的链表，请确保在递归结束时返回＆＃34;新头＆＃34;（返回后的头节点）。
static ListNode reverseR(ListNode head) {
if (head == null || head.next == null) {
return head;
}
ListNode first = head;
ListNode rest = head.next;
// reverse the rest of the list recursively
head = reverseR(rest);
// fix the first node after recursion
first.next.next = first;
first.next = null;
return head;
}
答案 16 :(得分：0)
private Node ReverseList(Node current, Node previous)
{
if (current == null) return null;
Node originalNext = current.next;
current.next = previous;
if (originalNext == null) return current;
return ReverseList(originalNext, current);
}
答案 17 :(得分：0)
public void reverseLinkedList(Node node){
if(node==null){
return;
}
reverseLinkedList(node.next);
Node temp = node.next;
node.next=node.prev;
node.prev=temp;
return;
}
答案 18 :(得分：0)
//this function reverses the linked list
public Node reverseList(Node p) {
if(head == null){
return null;
}
//make the last node as head
if(p.next == null){
head.next = null;
head = p;
return p;
}
//traverse to the last node, then reverse the pointers by assigning the 2nd last node to last node and so on..
return reverseList(p.next).next = p;
}
答案 19 :(得分：0)
//Recursive solution
class SLL
{
int data;
SLL next;
}
SLL reverse(SLL head)
{
//base case - 0 or 1 elements
if(head == null || head.next == null) return head;
SLL temp = reverse(head.next);
head.next.next = head;
head.next = null;
return temp;
}
答案 20 :(得分：0)
受an article启发，讨论递归数据结构的不可变实现，我使用Swift将替代解决方案放在一起。
主要答案通过突出显示以下主题来解决方案：
我在下面的解决方案中适用了这些内容。
/**
Node is a class that stores an arbitrary value of generic type T
and a pointer to another Node of the same time. This is a recursive
data structure representative of a member of a unidirectional linked
list.
*/
public class Node<T> {
public let value: T
public let next: Node<T>?
public init(value: T, next: Node<T>?) {
self.value = value
self.next = next
}
public func reversedList() -> Node<T> {
if let next = self.next {
// 3. The reverse of the second element on followed by the first element.
return next.reversedList() + value
} else {
// 2. Reverse of a one element list is itself
return self
}
}
}
/**
@return Returns a newly created Node consisting of the lhs list appended with rhs value.
*/
public func +<T>(lhs: Node<T>, rhs: T) -> Node<T> {
let tail: Node<T>?
if let next = lhs.next {
// The new tail is created recursively, as long as there is a next node.
tail = next + rhs
} else {
// If there is not a next node, create a new tail node to append
tail = Node<T>(value: rhs, next: nil)
}
// Return a newly created Node consisting of the lhs list appended with rhs value.
return Node<T>(value: lhs.value, next: tail)
}
答案 21 :(得分：0)
使用递归反转链接列表。我们的想法是通过反转链接来调整链接。
public ListNode reverseR(ListNode p) {
//Base condition, Once you reach the last node,return p
if (p == null || p.next == null) {
return p;
}
//Go on making the recursive call till reach the last node,now head points to the last node
ListNode head = reverseR(p.next); //Head points to the last node
//Here, p points to the last but one node(previous node), q points to the last node. Then next next step is to adjust the links
ListNode q = p.next;
//Last node link points to the P (last but one node)
q.next = p;
//Set the last but node (previous node) next to null
p.next = null;
return head; //Head points to the last node
}
答案 22 :(得分：0)
static void reverseList(){
if(head!=null||head.next!=null){
ListNode tail=head;//head points to tail
ListNode Second=head.next;
ListNode Third=Second.next;
tail.next=null;//tail previous head is poiniting null
Second.next=tail;
ListNode current=Third;
ListNode prev=Second;
if(Third.next!=null){
while(current!=null){
ListNode next=current.next;
current.next=prev;
prev=current;
current=next;
}
}
head=prev;//new head
}
}
class ListNode{
public int data;
public ListNode next;
public int getData() {
return data;
}
public ListNode(int data) {
super();
this.data = data;
this.next=null;
}
public ListNode(int data, ListNode next) {
super();
this.data = data;
this.next = next;
}
public void setData(int data) {
this.data = data;
}
public ListNode getNext() {
return next;
}
public void setNext(ListNode next) {
this.next = next;
}
}
答案 23 :(得分：0)
解决方案是：
package basic;
import custom.ds.nodes.Node;
public class RevLinkedList {
private static Node<Integer> first = null;
public static void main(String[] args) {
Node<Integer> f = new Node<Integer>();
Node<Integer> s = new Node<Integer>();
Node<Integer> t = new Node<Integer>();
Node<Integer> fo = new Node<Integer>();
f.setNext(s);
s.setNext(t);
t.setNext(fo);
fo.setNext(null);
f.setItem(1);
s.setItem(2);
t.setItem(3);
fo.setItem(4);
Node<Integer> curr = f;
display(curr);
revLL(null, f);
display(first);
}
public static void display(Node<Integer> curr) {
while (curr.getNext() != null) {
System.out.println(curr.getItem());
System.out.println(curr.getNext());
curr = curr.getNext();
}
}
public static void revLL(Node<Integer> pn, Node<Integer> cn) {
while (cn.getNext() != null) {
revLL(cn, cn.getNext());
break;
}
if (cn.getNext() == null) {
first = cn;
}
cn.setNext(pn);
}
}
答案 24 :(得分：0)
package com.mypackage;
class list{
node first;
node last;
list(){
first=null;
last=null;
}
/*returns true if first is null*/
public boolean isEmpty(){
return first==null;
}
/*Method for insertion*/
public void insert(int value){
if(isEmpty()){
first=last=new node(value);
last.next=null;
}
else{
node temp=new node(value);
last.next=temp;
last=temp;
last.next=null;
}
}
/*simple traversal from beginning*/
public void traverse(){
node t=first;
while(!isEmpty() && t!=null){
t.printval();
t= t.next;
}
}
/*static method for creating a reversed linked list*/
public static void reverse(node n,list l1){
if(n.next!=null)
reverse(n.next,l1);/*will traverse to the very end*/
l1.insert(n.value);/*every stack frame will do insertion now*/
}
/*private inner class node*/
private class node{
int value;
node next;
node(int value){
this.value=value;
}
void printval(){
System.out.print(value+" ");
}
}
}
答案 25 :(得分：0)
其他人做了什么，在其他帖子中是一个内容游戏，我做的是一个链接列表游戏，它反转LinkedList的成员而不是成员价值的反转。
Public LinkedList reverse(LinkedList List)
{
if(List == null)
return null;
if(List.next() == null)
return List;
LinkedList temp = this.reverse( List.next() );
return temp.setNext( List );
}
答案 26 :(得分：0)
public Node reverseRec(Node prev, Node curr) {
if (curr == null) return null;
if (curr.next == null) {
curr.next = prev;
return curr;
} else {
Node temp = curr.next;
curr.next = prev;
return reverseRec(curr, temp);
}
}
使用：head = reverseRec（null，head）;
答案 27 :(得分：0)
public class Singlelinkedlist {
public static void main(String[] args) {
Elem list = new Elem();
Reverse(list); //list is populate some where or some how
}
//this is the part you should be concerned with the function/Method has only 3 lines
public static void Reverse(Elem e){
if (e!=null)
if(e.next !=null )
Reverse(e.next);
//System.out.println(e.data);
}
}
class Elem {
public Elem next; // Link to next element in the list.
public String data; // Reference to the data.
}
答案 28 :(得分：-1)
如果有人正在寻找Scala实现，请参考以下内容：
scala> import scala.collection.mutable.LinkedList
import scala.collection.mutable.LinkedList
scala> def reverseLinkedList[A](ll: LinkedList[A]): LinkedList[A] =
ll.foldLeft(LinkedList.empty[A])((accumulator, nextElement) => nextElement +: accumulator)
reverseLinkedList: [A](ll: scala.collection.mutable.LinkedList[A])scala.collection.mutable.LinkedList[A]
scala> reverseLinkedList(LinkedList("a", "b", "c"))
res0: scala.collection.mutable.LinkedList[java.lang.String] = LinkedList(c, b, a)
scala> reverseLinkedList(LinkedList("1", "2", "3"))
res1: scala.collection.mutable.LinkedList[java.lang.String] = LinkedList(3, 2, 1)
答案 29 :(得分：-1)
public void reverse(){
if(isEmpty()){
return;
}
Node<T> revHead = new Node<T>();
this.reverse(head.next, revHead);
this.head = revHead;
}
private Node<T> reverse(Node<T> node, Node<T> revHead){
if(node.next == null){
revHead.next = node;
return node;
}
Node<T> reverse = this.reverse(node.next, revHead);
reverse.next = node;
node.next = null;
return node;
}
答案 30 :(得分：-1)
这就是我们在Opal中实现这一目标的方法 - 一种纯函数式编程语言。并且，恕我直言 - 以递归方式执行此操作仅在该上下文中有意义。
List Reverse(List l)
{
if (IsEmpty(l) || Size(l) == 1) return l;
return reverse(rest(l))::first(l);
}
rest（l）返回一个列表，该列表是没有第一个节点的原始列表。 first（l）返回第一个元素。 ::是一个连接运算符。
答案 31 :(得分：-3)
这是C＃版本的Reverse for linklist。
public void Reverse()
{
Node currentNode, nextNode=null, prevNode=null;
currentNode = head;
while(currentNode!=null)
{
nextNode = currentNode.next;
currentNode.next = prevNode;
prevNode = currentNode;
currentNode = nextNode;
}
head = prevNode;
}