算法设计:反转链表代码实现

2021年4月14日14:08:46 发表评论 898 次浏览

本文概述

给定指向链表头节点的指针, 任务是反转链表。我们需要通过更改节点之间的链接来反转列表。

例子:

输入:后续链表的头1-> 2-> 3-> 4-> NULL
输出:链表应更改为4-> 3-> 2-> 1-> NULL
输入:后续链表的头1 -> 2-> 3-> 4-> 5-> NULL
输出:链表应更改为5-> 4-> 3-> 2-> 1-> NULL输入:NULL输出:NULL
输入:1- > NULL
输出:1-> NULL

迭代法

将三个指针prev初始化为NULL, 将curr初始化为head, 将next初始化为NULL。遍历链表。循环执行以下操作。 // //在更改当前下一个之前, //存储下一个节点next = curr-> next //现在更改在当前下一个// //这是实际反转发生的位置curr-> next = prev //将prev向前移动1步prev = curr curr =下一个

反转链表1

下面是上述方法的实现:

C ++

//Iterative C++ program to reverse
//a linked list
#include <iostream>
using namespace std;
 
/* Link list node */
struct Node {
     int data;
     struct Node* next;
     Node( int data)
     {
         this ->data = data;
         next = NULL;
     }
};
 
struct LinkedList {
     Node* head;
     LinkedList()
     {
         head = NULL;
     }
 
     /* Function to reverse the linked list */
     void reverse()
     {
         //Initialize current, previous and
         //next pointers
         Node* current = head;
         Node *prev = NULL, *next = NULL;
 
         while (current != NULL) {
             //Store next
             next = current->next;
 
             //Reverse current node's pointer
             current->next = prev;
 
             //Move pointers one position ahead.
             prev = current;
             current = next;
         }
         head = prev;
     }
 
     /* Function to print linked list */
     void print()
     {
         struct Node* temp = head;
         while (temp != NULL) {
             cout <<temp->data <<" " ;
             temp = temp->next;
         }
     }
 
     void push( int data)
     {
         Node* temp = new Node(data);
         temp->next = head;
         head = temp;
     }
};
 
/* Driver program to test above function*/
int main()
{
     /* Start with the empty list */
     LinkedList ll;
     ll.push(20);
     ll.push(4);
     ll.push(15);
     ll.push(85);
 
     cout <<"Given linked list\n" ;
     ll.print();
 
     ll.reverse();
 
     cout <<"\nReversed Linked list \n" ;
     ll.print();
     return 0;
}

C

//Iterative C program to reverse a linked list
#include <stdio.h>
#include <stdlib.h>
 
/* Link list node */
struct Node {
     int data;
     struct Node* next;
};
 
/* Function to reverse the linked list */
static void reverse( struct Node** head_ref)
{
     struct Node* prev = NULL;
     struct Node* current = *head_ref;
     struct Node* next = NULL;
     while (current != NULL) {
         //Store next
         next = current->next;
 
         //Reverse current node's pointer
         current->next = prev;
 
         //Move pointers one position ahead.
         prev = current;
         current = next;
     }
     *head_ref = prev;
}
 
/* Function to push a node */
void push( struct Node** head_ref, int new_data)
{
     struct Node* new_node = ( struct Node*) malloc ( sizeof ( struct Node));
     new_node->data = new_data;
     new_node->next = (*head_ref);
     (*head_ref) = new_node;
}
 
/* Function to print linked list */
void printList( struct Node* head)
{
     struct Node* temp = head;
     while (temp != NULL) {
         printf ( "%d  " , temp->data);
         temp = temp->next;
     }
}
 
/* Driver program to test above function*/
int main()
{
     /* Start with the empty list */
     struct Node* head = NULL;
 
     push(&head, 20);
     push(&head, 4);
     push(&head, 15);
     push(&head, 85);
 
     printf ( "Given linked list\n" );
     printList(head);
     reverse(&head);
     printf ( "\nReversed Linked list \n" );
     printList(head);
     getchar ();
}

Java

//Java program for reversing the linked list
 
class LinkedList {
 
     static Node head;
 
     static class Node {
 
         int data;
         Node next;
 
         Node( int d)
         {
             data = d;
             next = null ;
         }
     }
 
     /* Function to reverse the linked list */
     Node reverse(Node node)
     {
         Node prev = null ;
         Node current = node;
         Node next = null ;
         while (current != null ) {
             next = current.next;
             current.next = prev;
             prev = current;
             current = next;
         }
         node = prev;
         return node;
     }
 
     //prints content of double linked list
     void printList(Node node)
     {
         while (node != null ) {
             System.out.print(node.data + " " );
             node = node.next;
         }
     }
 
     public static void main(String[] args)
     {
         LinkedList list = new LinkedList();
         list.head = new Node( 85 );
         list.head.next = new Node( 15 );
         list.head.next.next = new Node( 4 );
         list.head.next.next.next = new Node( 20 );
 
         System.out.println( "Given Linked list" );
         list.printList(head);
         head = list.reverse(head);
         System.out.println( "" );
         System.out.println( "Reversed linked list " );
         list.printList(head);
     }
}
 
//This code has been contributed by Mayank Jaiswal

python

# Python program to reverse a linked list
# Time Complexity : O(n)
# Space Complexity : O(1)
 
# Node class
class Node:
 
     # Constructor to initialize the node object
     def __init__( self , data):
         self .data = data
         self . next = None
 
class LinkedList:
 
     # Function to initialize head
     def __init__( self ):
         self .head = None
 
     # Function to reverse the linked list
     def reverse( self ):
         prev = None
         current = self .head
         while (current is not None ):
             next = current. next
             current. next = prev
             prev = current
             current = next
         self .head = prev
         
     # Function to insert a new node at the beginning
     def push( self , new_data):
         new_node = Node(new_data)
         new_node. next = self .head
         self .head = new_node
 
     # Utility function to print the linked LinkedList
     def printList( self ):
         temp = self .head
         while (temp):
             print temp.data, temp = temp. next
 
 
# Driver program to test above functions
llist = LinkedList()
llist.push( 20 )
llist.push( 4 )
llist.push( 15 )
llist.push( 85 )
 
print "Given Linked List"
llist.printList()
llist.reverse()
print "\nReversed Linked List"
llist.printList()
 
# This code is contributed by Nikhil Kumar Singh(nickzuck_007)

C#

//C# program for reversing the linked list
using System;
 
class GFG {
     static void Main( string [] args)
     {
         LinkedList list = new LinkedList();
         list.AddNode( new LinkedList.Node(85));
         list.AddNode( new LinkedList.Node(15));
         list.AddNode( new LinkedList.Node(4));
         list.AddNode( new LinkedList.Node(20));
 
         //List before reversal
         Console.WriteLine( "Given linked list:" );
         list.PrintList();
 
         //Reverse the list
         list.ReverseList();
 
         //List after reversal
         Console.WriteLine( "Reversed linked list:" );
         list.PrintList();
     }
}
 
class LinkedList {
     Node head;
 
     public class Node {
         public int data;
         public Node next;
 
         public Node( int d)
         {
             data = d;
             next = null ;
         }
     }
 
     //function to add a new node at
     //the end of the list
     public void AddNode(Node node)
     {
         if (head == null )
             head = node;
         else {
             Node temp = head;
             while (temp.next != null ) {
                 temp = temp.next;
             }
             temp.next = node;
         }
     }
 
     //function to reverse the list
     public void ReverseList()
     {
         Node prev = null , current = head, next = null ;
         while (current != null ) {
             next = current.next;
             current.next = prev;
             prev = current;
             current = next;
         }
         head = prev;
     }
 
     //function to print the list data
     public void PrintList()
     {
         Node current = head;
         while (current != null ) {
             Console.Write(current.data + " " );
             current = current.next;
         }
         Console.WriteLine();
     }
}
 
//This code is contributed by Mayank Sharma

输出如下:

Given linked list
85 15 4 20 
Reversed Linked list 
20 4 15 85

时间复杂度:O(n)

空间复杂度:O(1)

递归方法:

1) Divide the list in two parts - first node and 
      rest of the linked list.
   2) Call reverse for the rest of the linked list.
   3) Link rest to first.
   4) Fix head pointer
链表反转

C ++

//Recursive C++ program to reverse
//a linked list
#include <iostream>
using namespace std;
 
/* Link list node */
struct Node {
     int data;
     struct Node* next;
     Node( int data)
     {
         this ->data = data;
         next = NULL;
     }
};
 
struct LinkedList {
     Node* head;
     LinkedList()
     {
         head = NULL;
     }
 
     Node* reverse(Node* head)
     {
         if (head == NULL || head->next == NULL)
             return head;
 
         /* reverse the rest list and put
           the first element at the end */
         Node* rest = reverse(head->next);
         head->next->next = head;
 
         /* tricky step -- see the diagram */
         head->next = NULL;
 
         /* fix the head pointer */
         return rest;
     }
 
     /* Function to print linked list */
     void print()
     {
         struct Node* temp = head;
         while (temp != NULL) {
             cout <<temp->data <<" " ;
             temp = temp->next;
         }
     }
 
     void push( int data)
     {
         Node* temp = new Node(data);
         temp->next = head;
         head = temp;
     }
};
 
/* Driver program to test above function*/
int main()
{
     /* Start with the empty list */
     LinkedList ll;
     ll.push(20);
     ll.push(4);
     ll.push(15);
     ll.push(85);
 
     cout <<"Given linked list\n" ;
     ll.print();
 
     ll.head = ll.reverse(ll.head);
 
     cout <<"\nReversed Linked list \n" ;
     ll.print();
     return 0;
}

Java

//Recursive Java program to reverse
//a linked list
class recursion {
     static Node head; //head of list
     
     static class Node {
         int data;
         Node next;
         Node( int d)
         {
             data = d;
             next = null ;
         }
     }
 
     static Node reverse(Node head)
     {
         if (head == null || head.next == null )
             return head;
 
         /* reverse the rest list and put
         the first element at the end */
         Node rest = reverse(head.next);
         head.next.next = head;
 
         /* tricky step -- see the diagram */
         head.next = null ;
 
         /* fix the head pointer */
         return rest;
     }
 
     /* Function to print linked list */
     static void print()
     {
         Node temp = head;
         while (temp != null ) {
             System.out.print(temp.data + " " );
             temp = temp.next;
         }
         System.out.println();
     }
 
     static void push( int data)
     {
         Node temp = new Node(data);
         temp.next = head;
         head = temp;
     }
  
 
/* Driver program to test above function*/
public static void main(String args[])
{
     /* Start with the empty list */
      
     push( 20 );
     push( 4 );
     push( 15 );
     push( 85 );
 
     System.out.println( "Given linked list" );
     print();
 
     head = reverse(head);
 
     System.out.println( "Reversed Linked list" );
     print();
}
}
 
//This code is contributed by Prakhar Agarwal

Python3

"""Python3 program to reverse linked list
using recursive method"""
 
# Linked List Node
class Node:
     def __init__( self , data):
         self .data = data
         self . next = None
 
# Create and Handle list operations
class LinkedList:
     def __init__( self ):
         self .head = None # Head of list
 
     # Method to reverse the list
     def reverse( self , head):
 
         # If head is empty or has reached the list end
         if head is None or head. next is None :
             return head
 
         # Reverse the rest list
         rest = self .reverse(head. next )
 
         # Put first element at the end
         head. next . next = head
         head. next = None
 
         # Fix the header pointer
         return rest
 
     # Returns the linked list in display format
     def __str__( self ):
         linkedListStr = ""
         temp = self .head
         while temp:
             linkedListStr = (linkedListStr +
                             str (temp.data) + " " )
             temp = temp. next
         return linkedListStr
 
     # Pushes new data to the head of the list
     def push( self , data):
         temp = Node(data)
         temp. next = self .head
         self .head = temp
 
# Driver code
linkedList = LinkedList()
linkedList.push( 20 )
linkedList.push( 4 )
linkedList.push( 15 )
linkedList.push( 85 )
 
print ( "Given linked list" )
print (linkedList)
 
linkedList.head = linkedList.reverse(linkedList.head)
 
print ( "Reversed linked list" )
print (linkedList)
 
# This code is contributed by Debidutta Rath

C#

//Recursive C# program to
//reverse a linked list
using System;
class recursion{
     
//Head of list
static Node head;
 
public class Node
{
   public int data;
   public Node next;
   public Node( int d)
   {
     data = d;
     next = null ;
   }
}
 
static Node reverse(Node head)
{
   if (head == null ||
       head.next == null )
     return head;
 
   //Reverse the rest list and put 
   //the first element at the end
   Node rest = reverse(head.next);
   head.next.next = head;
 
   //Tricky step --
   //see the diagram
   head.next = null ;
 
   //Fix the head pointer
   return rest;
}
 
//Function to print
//linked list
static void print()
{
   Node temp = head;
   while (temp != null )
   {
     Console.Write(temp.data + " " );
     temp = temp.next;
   }
   Console.WriteLine();
}
 
static void push( int data)
{
   Node temp = new Node(data);
   temp.next = head;
   head = temp;
}
 
//Driver code
public static void Main(String []args)
{
   //Start with the
   //empty list
   push(20);
   push(4);
   push(15);
   push(85);
 
   Console.WriteLine( "Given linked list" );
   print();
   head = reverse(head);
   Console.WriteLine( "Reversed Linked list" );
   print();
}
}
 
//This code is contributed by gauravrajput1

输出如下:

Given linked list
85 15 4 20 
Reversed Linked list
20 4 15 85

时间复杂度:

上)

空间复杂度:

O(1)

一种更简单的尾递归方法

下面是此方法的实现。

C ++

//A simple and tail recursive C++ program to reverse
//a linked list
#include <bits/stdc++.h>
using namespace std;
 
struct Node {
     int data;
     struct Node* next;
};
 
void reverseUtil(Node* curr, Node* prev, Node** head);
 
//This function mainly calls reverseUtil()
//with prev as NULL
void reverse(Node** head)
{
     if (!head)
         return ;
     reverseUtil(*head, NULL, head);
}
 
//A simple and tail-recursive function to reverse
//a linked list.  prev is passed as NULL initially.
void reverseUtil(Node* curr, Node* prev, Node** head)
{
     /* If last node mark it head*/
     if (!curr->next) {
         *head = curr;
 
         /* Update next to prev node */
         curr->next = prev;
         return ;
     }
 
     /* Save curr->next node for recursive call */
     Node* next = curr->next;
 
     /* and update next ..*/
     curr->next = prev;
 
     reverseUtil(next, curr, head);
}
 
//A utility function to create a new node
Node* newNode( int key)
{
     Node* temp = new Node;
     temp->data = key;
     temp->next = NULL;
     return temp;
}
 
//A utility function to print a linked list
void printlist(Node* head)
{
     while (head != NULL) {
         cout <<head->data <<" " ;
         head = head->next;
     }
     cout <<endl;
}
 
//Driver program to test above functions
int main()
{
     Node* head1 = newNode(1);
     head1->next = newNode(2);
     head1->next->next = newNode(3);
     head1->next->next->next = newNode(4);
     head1->next->next->next->next = newNode(5);
     head1->next->next->next->next->next = newNode(6);
     head1->next->next->next->next->next->next = newNode(7);
     head1->next->next->next->next->next->next->next = newNode(8);
     cout <<"Given linked list\n" ;
     printlist(head1);
     reverse(&head1);
     cout <<"\nReversed linked list\n" ;
     printlist(head1);
     return 0;
}

Java

//Java program for reversing the Linked list
 
class LinkedList {
 
     static Node head;
 
     static class Node {
 
         int data;
         Node next;
 
         Node( int d)
         {
             data = d;
             next = null ;
         }
     }
 
     //A simple and tail recursive function to reverse
     //a linked list.  prev is passed as NULL initially.
     Node reverseUtil(Node curr, Node prev)
     {
 
         /* If last node mark it head*/
         if (curr.next == null ) {
             head = curr;
 
             /* Update next to prev node */
             curr.next = prev;
 
             return head;
         }
 
         /* Save curr->next node for recursive call */
         Node next1 = curr.next;
 
         /* and update next ..*/
         curr.next = prev;
 
         reverseUtil(next1, curr);
         return head;
     }
 
     //prints content of double linked list
     void printList(Node node)
     {
         while (node != null ) {
             System.out.print(node.data + " " );
             node = node.next;
         }
     }
 
     public static void main(String[] args)
     {
         LinkedList list = new LinkedList();
         list.head = new Node( 1 );
         list.head.next = new Node( 2 );
         list.head.next.next = new Node( 3 );
         list.head.next.next.next = new Node( 4 );
         list.head.next.next.next.next = new Node( 5 );
         list.head.next.next.next.next.next = new Node( 6 );
         list.head.next.next.next.next.next.next = new Node( 7 );
         list.head.next.next.next.next.next.next.next = new Node( 8 );
 
         System.out.println( "Original Linked list " );
         list.printList(head);
         Node res = list.reverseUtil(head, null );
         System.out.println( "" );
         System.out.println( "" );
         System.out.println( "Reversed linked list " );
         list.printList(res);
     }
}
 
//This code has been contributed by Mayank Jaiswal

python

# Simple and tail recursive Python program to
# reverse a linked list
 
# Node class
class Node:
 
     # Constructor to initialize the node object
     def __init__( self , data):
         self .data = data
         self . next = None
 
class LinkedList:
 
     # Function to initialize head
     def __init__( self ):
         self .head = None
 
 
     def reverseUtil( self , curr, prev):
         
         # If last node mark it head
         if curr. next is None :
             self .head = curr
             
             # Update next to prev node
             curr. next = prev
             return
         
         # Save curr.next node for recursive call
         next = curr. next
 
         # And update next
         curr. next = prev
     
         self .reverseUtil( next , curr)
 
 
     # This function mainly calls reverseUtil()
     # with previous as None
     def reverse( self ):
         if self .head is None :
             return
         self .reverseUtil( self .head, None )
 
 
     # Function to insert a new node at the beginning
     def push( self , new_data):
         new_node = Node(new_data)
         new_node. next = self .head
         self .head = new_node
 
     # Utility function to print the linked LinkedList
     def printList( self ):
         temp = self .head
         while (temp):
             print temp.data, temp = temp. next
 
 
# Driver program
llist = LinkedList()
llist.push( 8 )
llist.push( 7 )
llist.push( 6 )
llist.push( 5 )
llist.push( 4 )
llist.push( 3 )
llist.push( 2 )
llist.push( 1 )
 
print "Given linked list"
llist.printList()
 
llist.reverse()
 
print "\nReverse linked list"
llist.printList()
 
# This code is contributed by Nikhil Kumar Singh(nickzuck_007)

C#

//C# program for reversing the Linked list
using System;
 
public class LinkedList {
     Node head;
     public class Node {
 
         public int data;
         public Node next;
 
         public Node( int d)
         {
             data = d;
             next = null ;
         }
     }
 
     //A simple and tail-recursive function to reverse
     //a linked list. prev is passed as NULL initially.
     Node reverseUtil(Node curr, Node prev)
     {
 
         /* If last node mark it head*/
         if (curr.next == null ) {
             head = curr;
 
             /* Update next to prev node */
             curr.next = prev;
 
             return head;
         }
 
         /* Save curr->next node for recursive call */
         Node next1 = curr.next;
 
         /* and update next ..*/
         curr.next = prev;
 
         reverseUtil(next1, curr);
         return head;
     }
 
     //prints content of double linked list
     void printList(Node node)
     {
         while (node != null ) {
             Console.Write(node.data + " " );
             node = node.next;
         }
     }
 
     //Driver code
     public static void Main(String[] args)
     {
         LinkedList list = new LinkedList();
         list.head = new Node(1);
         list.head.next = new Node(2);
         list.head.next.next = new Node(3);
         list.head.next.next.next = new Node(4);
         list.head.next.next.next.next = new Node(5);
         list.head.next.next.next.next.next = new Node(6);
         list.head.next.next.next.next.next.next = new Node(7);
         list.head.next.next.next.next.next.next.next = new Node(8);
 
         Console.WriteLine( "Original Linked list " );
         list.printList(list.head);
         Node res = list.reverseUtil(list.head, null );
         Console.WriteLine( "" );
         Console.WriteLine( "" );
         Console.WriteLine( "Reversed linked list " );
         list.printList(res);
     }
}
 
//This code contributed by Rajput-Ji

输出如下:

Given linked list
1 2 3 4 5 6 7 8

Reversed linked list
8 7 6 5 4 3 2 1

使用堆栈:

  • 将节点(值和地址)存储在堆栈中, 直到输入所有值。
  • 完成所有输入后, 将Head指针更新到最后一个位置(即最后一个值)。
  • 开始弹出节点(值和地址)并以相同顺序存储它们, 直到堆栈为空。
  • 用NULL更新堆栈中最后一个节点的下一个指针。

下面是上述方法的实现:

C ++

//C++ program for above approach
#include <bits/stdc++.h>
#include <iostream>
using namespace std;
 
//Create a class Node to enter
//values and address in the list
class Node
{
public :
     int data;
     Node* next;
};
 
//Function to reverse the
//linked list
void reverseLL(Node** head)
{  
     
     //Create a stack "s"
     //of Node type
     stack<Node*> s;
     Node* temp = *head;
     while (temp->next != NULL)
     {
         
         //Push all the nodes
         //in to stack
         s.push(temp);
         temp = temp->next;
     }
     *head = temp;
   
     while (!s.empty())
     {
         
         //Store the top value of
         //stack in list
         temp->next = s.top();
       
         //Pop the value from stack
         s.pop();
       
         //update the next pointer in the
         //in the list
         temp = temp->next;
     }
     temp->next = NULL;
}
 
//Function to Display
//the elements in List
void printlist(Node* temp)
{
     while (temp != NULL)
     {
         cout <<temp->data <<" " ;
         temp = temp->next;
     }
}
 
//Program to insert back of the
//linked list
void insert_back(Node** head, int value)
{
 
     //we have used insertion at back method
     //to enter values in the list.(eg:
     //head->1->2->3->4->Null)
     Node* temp = new Node();
     temp->data = value;
     temp->next = NULL;
     
     //If *head equals to NULL
     if (*head == NULL)
     {
       *head = temp;
       return ;
     }
     else
     {
       Node* last_node = *head;
       while (last_node->next != NULL)
       {
         last_node = last_node->next;
       }
       last_node->next = temp;
       return ;
     }
}
 
//Driver Code
int main()
{
     Node* head = NULL;
 
     insert_back(&head, 1);
     insert_back(&head, 2);
     insert_back(&head, 3);
     insert_back(&head, 4);
     cout <<"Given linked list\n" ;
     printlist(head);
     reverseLL(&head);
     cout <<"\nReversed linked list\n" ;
     printlist(head);
     return 0;
}

输出如下:

Given linked list
1 2 3 4

Reversed linked list
4 3 2 1

感谢Gaurav Ahirwar提出了此解决方案。

递归地反转链表(一个简单的实现)

仅使用2个指针迭代反向链表(一种有趣的方法)

参考文献:

http://cslibrary.stanford.edu/105/LinkedListProblems.pdf

木子山

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