本文概述
给定一个链表, 编写一个函数以有效的方式反转每个备用k节点(其中k是函数的输入)。给出算法的复杂性。
例子:
Inputs: 1->2->3->4->5->6->7->8->9->NULL and k = 3
Output: 3->2->1->4->5->6->9->8->7->NULL.
推荐:请尝试以下方法{IDE}首先, 在继续解决方案之前。
方法1(处理2k个节点并递归调用列表的其余部分)
此方法基本上是对讨论的方法的扩展
这个
发布。
kAltReverse(struct node *head, int k)
1) Reverse first k nodes.
2) In the modified list head points to the kth node. So change next
of head to (k+1)th node
3) Move the current pointer to skip next k nodes.
4) Call the kAltReverse() recursively for rest of the n - 2k nodes.
5) Return new head of the list.
C ++
// C++ program to reverse alternate
// k nodes in a linked list
#include <bits/stdc++.h>
using namespace std;
/* Link list node */
class Node
{
public :
int data;
Node* next;
};
/* Reverses alternate k nodes and
returns the pointer to the new head node */
Node *kAltReverse(Node *head, int k)
{
Node* current = head;
Node* next;
Node* prev = NULL;
int count = 0;
/*1) reverse first k nodes of the linked list */
while (current != NULL && count < k)
{
next = current->next;
current->next = prev;
prev = current;
current = next;
count++;
}
/* 2) Now head points to the kth node.
So change next of head to (k+1)th node*/
if (head != NULL)
head->next = current;
/* 3) We do not want to reverse next k
nodes. So move the current
pointer to skip next k nodes */
count = 0;
while (count < k-1 && current != NULL )
{
current = current->next;
count++;
}
/* 4) Recursively call for the list
starting from current->next. And make
rest of the list as next of first node */
if (current != NULL)
current->next = kAltReverse(current->next, k);
/* 5) prev is new head of the input list */
return prev;
}
/* UTILITY FUNCTIONS */
/* Function to push a node */
void push(Node** head_ref, int new_data)
{
/* allocate node */
Node* new_node = new Node();
/* put in the data */
new_node->data = new_data;
/* link the old list off the new node */
new_node->next = (*head_ref);
/* move the head to point to the new node */
(*head_ref) = new_node;
}
/* Function to print linked list */
void printList(Node *node)
{
int count = 0;
while (node != NULL)
{
cout<<node->data<< " " ;
node = node->next;
count++;
}
}
/* Driver code*/
int main( void )
{
/* Start with the empty list */
Node* head = NULL;
int i;
// create a list 1->2->3->4->5...... ->20
for (i = 20; i > 0; i--)
push(&head, i);
cout<< "Given linked list \n" ;
printList(head);
head = kAltReverse(head, 3);
cout<< "\n Modified Linked list \n" ;
printList(head);
return (0);
}
// This code is contributed by rathbhupendra
C
#include<stdio.h>
#include<stdlib.h>
/* Link list node */
struct Node
{
int data;
struct Node* next;
};
/* Reverses alternate k nodes and
returns the pointer to the new head node */
struct Node *kAltReverse( struct Node *head, int k)
{
struct Node* current = head;
struct Node* next;
struct Node* prev = NULL;
int count = 0;
/*1) reverse first k nodes of the linked list */
while (current != NULL && count < k)
{
next = current->next;
current->next = prev;
prev = current;
current = next;
count++;
}
/* 2) Now head points to the kth node. So change next
of head to (k+1)th node*/
if (head != NULL)
head->next = current;
/* 3) We do not want to reverse next k nodes. So move the current
pointer to skip next k nodes */
count = 0;
while (count < k-1 && current != NULL )
{
current = current->next;
count++;
}
/* 4) Recursively call for the list starting from current->next.
And make rest of the list as next of first node */
if (current != NULL)
current->next = kAltReverse(current->next, k);
/* 5) prev is new head of the input list */
return prev;
}
/* UTILITY FUNCTIONS */
/* Function to push a node */
void push( struct Node** head_ref, int new_data)
{
/* allocate node */
struct Node* new_node =
( struct Node*) malloc ( sizeof ( struct Node));
/* put in the data */
new_node->data = new_data;
/* link the old list off the new node */
new_node->next = (*head_ref);
/* move the head to point to the new node */
(*head_ref) = new_node;
}
/* Function to print linked list */
void printList( struct Node *node)
{
int count = 0;
while (node != NULL)
{
printf ( "%d " , node->data);
node = node->next;
count++;
}
}
/* Driver program to test above function*/
int main( void )
{
/* Start with the empty list */
struct Node* head = NULL;
int i;
// create a list 1->2->3->4->5...... ->20
for (i = 20; i > 0; i--)
push(&head, i);
printf ( "\n Given linked list \n" );
printList(head);
head = kAltReverse(head, 3);
printf ( "\n Modified Linked list \n" );
printList(head);
getchar ();
return (0);
}
Java
// Java program to reverse alternate k nodes in a linked list
class LinkedList {
static Node head;
class Node {
int data;
Node next;
Node( int d) {
data = d;
next = null ;
}
}
/* Reverses alternate k nodes and
returns the pointer to the new head node */
Node kAltReverse(Node node, int k) {
Node current = node;
Node next = null , prev = null ;
int count = 0 ;
/*1) reverse first k nodes of the linked list */
while (current != null && count < k) {
next = current.next;
current.next = prev;
prev = current;
current = next;
count++;
}
/* 2) Now head points to the kth node. So change next
of head to (k+1)th node*/
if (node != null ) {
node.next = current;
}
/* 3) We do not want to reverse next k nodes. So move the current
pointer to skip next k nodes */
count = 0 ;
while (count < k - 1 && current != null ) {
current = current.next;
count++;
}
/* 4) Recursively call for the list starting from current->next.
And make rest of the list as next of first node */
if (current != null ) {
current.next = kAltReverse(current.next, k);
}
/* 5) prev is new head of the input list */
return prev;
}
void printList(Node node) {
while (node != null ) {
System.out.print(node.data + " " );
node = node.next;
}
}
void push( int newdata) {
Node mynode = new Node(newdata);
mynode.next = head;
head = mynode;
}
public static void main(String[] args) {
LinkedList list = new LinkedList();
// Creating the linkedlist
for ( int i = 20 ; i > 0 ; i--) {
list.push(i);
}
System.out.println( "Given Linked List :" );
list.printList(head);
head = list.kAltReverse(head, 3 );
System.out.println( "" );
System.out.println( "Modified Linked List :" );
list.printList(head);
}
}
// This code has been contributed by Mayank Jaiswal
Python3
# Python3 program to reverse alternate
# k nodes in a linked list
import math
# Link list node
class Node:
def __init__( self , data):
self .data = data
self . next = None
# Reverses alternate k nodes and
#returns the poer to the new head node
def kAltReverse(head, k) :
current = head
next = None
prev = None
count = 0
#1) reverse first k nodes of the linked list
while (current ! = None and count < k) :
next = current. next
current. next = prev
prev = current
current = next
count = count + 1 ;
# 2) Now head pos to the kth node.
# So change next of head to (k+1)th node
if (head ! = None ):
head. next = current
# 3) We do not want to reverse next k
# nodes. So move the current
# poer to skip next k nodes
count = 0
while (count < k - 1 and current ! = None ):
current = current. next
count = count + 1
# 4) Recursively call for the list
# starting from current.next. And make
# rest of the list as next of first node
if (current ! = None ):
current. next = kAltReverse(current. next , k)
# 5) prev is new head of the input list
return prev
# UTILITY FUNCTIONS
# Function to push a node
def push(head_ref, new_data):
# allocate node
new_node = Node(new_data)
# put in the data
# new_node.data = new_data
# link the old list off the new node
new_node. next = head_ref
# move the head to po to the new node
head_ref = new_node
return head_ref
# Function to print linked list
def prList(node):
count = 0
while (node ! = None ):
print (node.data, end = " " )
node = node. next
count = count + 1
# Driver code
if __name__ = = '__main__' :
# Start with the empty list
head = None
# create a list 1.2.3.4.5...... .20
for i in range ( 20 , 0 , - 1 ):
head = push(head, i)
print ( "Given linked list " )
prList(head)
head = kAltReverse(head, 3 )
print ( "\nModified Linked list" )
prList(head)
# This code is contributed by Srathore
C#
// C# program to reverse alternate
// k nodes in a linked list
using System;
class LinkedList
{
static Node head;
public class Node
{
public int data;
public Node next;
public Node( int d)
{
data = d;
next = null ;
}
}
/* Reverses alternate k nodes and
returns the pointer to the new head node */
Node kAltReverse(Node node, int k)
{
Node current = node;
Node next = null , prev = null ;
int count = 0;
/*1) reverse first k nodes of the linked list */
while (current != null && count < k)
{
next = current.next;
current.next = prev;
prev = current;
current = next;
count++;
}
/* 2) Now head points to the kth
node. So change next
of head to (k+1)th node*/
if (node != null )
{
node.next = current;
}
/* 3) We do not want to reverse
next k nodes. So move the current
pointer to skip next k nodes */
count = 0;
while (count < k - 1 && current != null )
{
current = current.next;
count++;
}
/* 4) Recursively call for the
list starting from current->next.
And make rest of the list as
next of first node */
if (current != null )
{
current.next = kAltReverse(current.next, k);
}
/* 5) prev is new head of the input list */
return prev;
}
void printList(Node node)
{
while (node != null )
{
Console.Write(node.data + " " );
node = node.next;
}
}
void push( int newdata)
{
Node mynode = new Node(newdata);
mynode.next = head;
head = mynode;
}
// Driver code
public static void Main(String []args)
{
LinkedList list = new LinkedList();
// Creating the linkedlist
for ( int i = 20; i > 0; i--)
{
list.push(i);
}
Console.WriteLine( "Given Linked List :" );
list.printList(head);
head = list.kAltReverse(head, 3);
Console.WriteLine( "" );
Console.WriteLine( "Modified Linked List :" );
list.printList(head);
}
}
// This code has been contributed by Arnab Kundu
输出如下:
Given linked list
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Modified Linked list
3 2 1 4 5 6 9 8 7 10 11 12 15 14 13 16 17 18 20 19
时间复杂度:上)
方法2(处理k个节点并递归调用列表的其余部分)
方法1反转第一个k节点, 然后将指针向前移动到k个节点。因此, 方法1使用两个while循环并在一个递归调用中处理2k个节点。
此方法在递归调用中仅处理k个节点。它使用第三个布尔参数b来决定是反转k个元素还是简单地移动指针。
_kAltReverse(struct node *head, int k, bool b)
1) If b is true, then reverse first k nodes.
2) If b is false, then move the pointer k nodes ahead.
3) Call the kAltReverse() recursively for rest of the n - k nodes and link
rest of the modified list with end of first k nodes.
4) Return new head of the list.
C ++
#include <bits/stdc++.h>
using namespace std;
/* Link list node */
class node
{
public :
int data;
node* next;
};
/* Helper function for kAltReverse() */
node * _kAltReverse(node *node, int k, bool b);
/* Alternatively reverses the given linked list
in groups of given size k. */
node *kAltReverse(node *head, int k)
{
return _kAltReverse(head, k, true );
}
/* Helper function for kAltReverse().
It reverses k nodes of the list only if
the third parameter b is passed as true, otherwise moves the pointer k nodes ahead
and recursively calls iteself */
node * _kAltReverse(node *Node, int k, bool b)
{
if (Node == NULL)
return NULL;
int count = 1;
node *prev = NULL;
node *current = Node;
node *next;
/* The loop serves two purposes
1) If b is true, then it reverses the k nodes
2) If b is false, then it moves the current pointer */
while (current != NULL && count <= k)
{
next = current->next;
/* Reverse the nodes only if b is true*/
if (b == true )
current->next = prev;
prev = current;
current = next;
count++;
}
/* 3) If b is true, then node is the kth node.
So attach rest of the list after node.
4) After attaching, return the new head */
if (b == true )
{
Node->next = _kAltReverse(current, k, !b);
return prev;
}
/* If b is not true, then attach
rest of the list after prev.
So attach rest of the list after prev */
else
{
prev->next = _kAltReverse(current, k, !b);
return Node;
}
}
/* UTILITY FUNCTIONS */
/* Function to push a node */
void push(node** head_ref, int new_data)
{
/* allocate node */
node* new_node = new node();
/* put in the data */
new_node->data = new_data;
/* link the old list off the new node */
new_node->next = (*head_ref);
/* move the head to point to the new node */
(*head_ref) = new_node;
}
/* Function to print linked list */
void printList(node *node)
{
int count = 0;
while (node != NULL)
{
cout << node->data << " " ;
node = node->next;
count++;
}
}
// Driver Code
int main( void )
{
/* Start with the empty list */
node* head = NULL;
int i;
// create a list 1->2->3->4->5...... ->20
for (i = 20; i > 0; i--)
push(&head, i);
cout << "Given linked list \n" ;
printList(head);
head = kAltReverse(head, 3);
cout << "\nModified Linked list \n" ;
printList(head);
return (0);
}
// This code is contributed by rathbhupendra
C
#include<stdio.h>
#include<stdlib.h>
/* Link list node */
struct node
{
int data;
struct node* next;
};
/* Helper function for kAltReverse() */
struct node * _kAltReverse( struct node *node, int k, bool b);
/* Alternatively reverses the given linked list in groups of
given size k. */
struct node *kAltReverse( struct node *head, int k)
{
return _kAltReverse(head, k, true );
}
/* Helper function for kAltReverse(). It reverses k nodes of the list only if
the third parameter b is passed as true, otherwise moves the pointer k
nodes ahead and recursively calls iteself */
struct node * _kAltReverse( struct node *node, int k, bool b)
{
if (node == NULL)
return NULL;
int count = 1;
struct node *prev = NULL;
struct node *current = node;
struct node *next;
/* The loop serves two purposes
1) If b is true, then it reverses the k nodes
2) If b is false, then it moves the current pointer */
while (current != NULL && count <= k)
{
next = current->next;
/* Reverse the nodes only if b is true*/
if (b == true )
current->next = prev;
prev = current;
current = next;
count++;
}
/* 3) If b is true, then node is the kth node.
So attach rest of the list after node.
4) After attaching, return the new head */
if (b == true )
{
node->next = _kAltReverse(current, k, !b);
return prev;
}
/* If b is not true, then attach rest of the list after prev.
So attach rest of the list after prev */
else
{
prev->next = _kAltReverse(current, k, !b);
return node;
}
}
/* UTILITY FUNCTIONS */
/* Function to push a node */
void push( struct node** head_ref, int new_data)
{
/* allocate node */
struct node* new_node =
( struct node*) malloc ( sizeof ( struct node));
/* put in the data */
new_node->data = new_data;
/* link the old list off the new node */
new_node->next = (*head_ref);
/* move the head to point to the new node */
(*head_ref) = new_node;
}
/* Function to print linked list */
void printList( struct node *node)
{
int count = 0;
while (node != NULL)
{
printf ( "%d " , node->data);
node = node->next;
count++;
}
}
/* Driver program to test above function*/
int main( void )
{
/* Start with the empty list */
struct node* head = NULL;
int i;
// create a list 1->2->3->4->5...... ->20
for (i = 20; i > 0; i--)
push(&head, i);
printf ( "\n Given linked list \n" );
printList(head);
head = kAltReverse(head, 3);
printf ( "\n Modified Linked list \n" );
printList(head);
getchar ();
return (0);
}
Java
// Java program to reverse alternate k nodes in a linked list
class LinkedList {
static Node head;
class Node {
int data;
Node next;
Node( int d) {
data = d;
next = null ;
}
}
/* Alternatively reverses the given linked list in groups of
given size k. */
Node kAltReverse(Node head, int k) {
return _kAltReverse(head, k, true );
}
/* Helper function for kAltReverse(). It reverses k nodes of the list only if
the third parameter b is passed as true, otherwise moves the pointer k
nodes ahead and recursively calls iteself */
Node _kAltReverse(Node node, int k, boolean b) {
if (node == null ) {
return null ;
}
int count = 1 ;
Node prev = null ;
Node current = node;
Node next = null ;
/* The loop serves two purposes
1) If b is true, then it reverses the k nodes
2) If b is false, then it moves the current pointer */
while (current != null && count <= k) {
next = current.next;
/* Reverse the nodes only if b is true*/
if (b == true ) {
current.next = prev;
}
prev = current;
current = next;
count++;
}
/* 3) If b is true, then node is the kth node.
So attach rest of the list after node.
4) After attaching, return the new head */
if (b == true ) {
node.next = _kAltReverse(current, k, !b);
return prev;
} /* If b is not true, then attach rest of the list after prev.
So attach rest of the list after prev */ else {
prev.next = _kAltReverse(current, k, !b);
return node;
}
}
void printList(Node node) {
while (node != null ) {
System.out.print(node.data + " " );
node = node.next;
}
}
void push( int newdata) {
Node mynode = new Node(newdata);
mynode.next = head;
head = mynode;
}
public static void main(String[] args) {
LinkedList list = new LinkedList();
// Creating the linkedlist
for ( int i = 20 ; i > 0 ; i--) {
list.push(i);
}
System.out.println( "Given Linked List :" );
list.printList(head);
head = list.kAltReverse(head, 3 );
System.out.println( "" );
System.out.println( "Modified Linked List :" );
list.printList(head);
}
}
// This code has been contributed by Mayank Jaiswal
python
# Python code for above algorithm
# Link list node
class node:
def __init__( self , data):
self .data = data
self . next = next
# function to insert a node at the
# beginning of the linked list
def push(head_ref, new_data):
# allocate node
new_node = node( 0 )
# put in the data
new_node.data = new_data
# link the old list to the new node
new_node. next = (head_ref)
# move the head to point to the new node
(head_ref) = new_node
return head_ref
""" Alternatively reverses the given linked list
in groups of given size k. """
def kAltReverse(head, k) :
return _kAltReverse(head, k, True )
""" Helper function for kAltReverse().
It reverses k nodes of the list only if
the third parameter b is passed as True, otherwise moves the pointer k nodes ahead
and recursively calls iteself """
def _kAltReverse(Node, k, b) :
if (Node = = None ) :
return None
count = 1
prev = None
current = Node
next = None
""" The loop serves two purposes
1) If b is True, then it reverses the k nodes
2) If b is false, then it moves the current pointer """
while (current ! = None and count < = k) :
next = current. next
""" Reverse the nodes only if b is True"""
if (b = = True ) :
current. next = prev
prev = current
current = next
count = count + 1
""" 3) If b is True, then node is the kth node.
So attach rest of the list after node.
4) After attaching, return the new head """
if (b = = True ) :
Node. next = _kAltReverse(current, k, not b)
return prev
else :
""" If b is not True, then attach
rest of the list after prev.
So attach rest of the list after prev """
prev. next = _kAltReverse(current, k, not b)
return Node
""" Function to print linked list """
def printList(node) :
count = 0
while (node ! = None ) :
print ( node.data, end = " " )
node = node. next
count = count + 1
# Driver Code
""" Start with the empty list """
head = None
i = 20
# create a list 1->2->3->4->5...... ->20
while (i > 0 ):
head = push(head, i)
i = i - 1
print ( "Given linked list " )
printList(head)
head = kAltReverse(head, 3 )
print ( "\nModified Linked list " )
printList(head)
# This code is contributed by Arnab Kundu
C#
// C# Program for converting
// singly linked list into
// circular linked list.
using System;
public class LinkedList
{
static Node head;
public class Node
{
public int data;
public Node next;
public Node( int d)
{
data = d;
next = null ;
}
}
/* Reverses alternate k nodes and
returns the pointer to the new head node */
Node kAltReverse(Node node, int k)
{
Node current = node;
Node next = null , prev = null ;
int count = 0;
/*1) reverse first k nodes of the linked list */
while (current != null && count < k)
{
next = current.next;
current.next = prev;
prev = current;
current = next;
count++;
}
/* 2) Now head points to the kth node.
So change next of head to (k+1)th node*/
if (node != null )
{
node.next = current;
}
/* 3) We do not want to reverse next
k nodes. So move the current
pointer to skip next k nodes */
count = 0;
while (count < k - 1 && current != null )
{
current = current.next;
count++;
}
/* 4) Recursively call for the list
starting from current->next. And make
rest of the list as next of first node */
if (current != null )
{
current.next = kAltReverse(current.next, k);
}
/* 5) prev is new head of the input list */
return prev;
}
void printList(Node node)
{
while (node != null )
{
Console.Write(node.data + " " );
node = node.next;
}
}
void push( int newdata)
{
Node mynode = new Node(newdata);
mynode.next = head;
head = mynode;
}
public static void Main(String[] args)
{
LinkedList list = new LinkedList();
// Creating the linkedlist
for ( int i = 20; i > 0; i--)
{
list.push(i);
}
Console.WriteLine( "Given Linked List :" );
list.printList(head);
head = list.kAltReverse(head, 3);
Console.WriteLine( "" );
Console.WriteLine( "Modified Linked List :" );
list.printList(head);
}
}
// This code is contributed 29AjayKumar
输出如下:
Given linked list
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Modified Linked list
3 2 1 4 5 6 9 8 7 10 11 12 15 14 13 16 17 18 20 19
时间复杂度:O(n)
如果你发现上述代码/算法有误, 请写评论, 或者找到其他解决相同问题的方法。