将仲裁指针指向链表中的最大值右侧节点
给定单链表,每个节点都有一个额外的“任意”指针,当前指向 NULL。我们需要将“任意”指针指向链表右侧的最大值节点。
一个简单的解决方案是一个一个地遍历所有节点。对于每个节点,在右侧找到具有最大值的节点并更改下一个指针。此解决方案的时间复杂度为 O(n 2 )。
一个有效的解决方案可以在 O(n) 时间内工作。下面是步骤。
- 反转给定的链表。
- 开始遍历链表并存储到目前为止遇到的最大值节点。使每个节点的仲裁指向最大值。如果当前节点中的数据多于目前的max节点,则更新max。
- 反向修改链表并返回头部。
下面是上述步骤的实现。
C++
// C++ program to point arbit pointers to highest
// value on its right
#include
using namespace std;
/* Link list node */
struct Node
{
int data;
Node* next, *arbit;
};
/* Function to reverse the linked list */
Node* reverse(Node *head)
{
Node *prev = NULL, *current = head, *next;
while (current != NULL)
{
next = current->next;
current->next = prev;
prev = current;
current = next;
}
return prev;
}
// This function populates arbit pointer in every
// node to the greatest value to its right.
Node* populateArbit(Node *head)
{
// Reverse given linked list
head = reverse(head);
// Initialize pointer to maximum value node
Node *max = head;
// Traverse the reversed list
Node *temp = head->next;
while (temp != NULL)
{
// Connect max through arbit pointer
temp->arbit = max;
// Update max if required
if (max->data < temp->data)
max = temp;
// Move ahead in reversed list
temp = temp->next;
}
// Reverse modified linked list and return
// head.
return reverse(head);
}
// Utility function to print result linked list
void printNextArbitPointers(Node *node)
{
printf("Node\tNext Pointer\tArbit Pointer\n");
while (node!=NULL)
{
cout << node->data << "\t\t";
if (node->next)
cout << node->next->data << "\t\t";
else cout << "NULL" << "\t\t";
if (node->arbit)
cout << node->arbit->data;
else cout << "NULL";
cout << endl;
node = node->next;
}
}
/* Function to create a new node with given data */
Node *newNode(int data)
{
Node *new_node = new Node;
new_node->data = data;
new_node->next = NULL;
return new_node;
}
/* Driver program to test above functions*/
int main()
{
Node *head = newNode(5);
head->next = newNode(10);
head->next->next = newNode(2);
head->next->next->next = newNode(3);
head = populateArbit(head);
printf("Resultant Linked List is: \n");
printNextArbitPointers(head);
return 0;
}
Java
// Java program to point arbit pointers to highest
// value on its right
class GfG
{
/* Link list node */
static class Node
{
int data;
Node next, arbit;
}
/* Function to reverse the linked list */
static Node reverse(Node head)
{
Node prev = null, current = head, next = null;
while (current != null)
{
next = current.next;
current.next = prev;
prev = current;
current = next;
}
return prev;
}
// This function populates arbit pointer in every
// node to the greatest value to its right.
static Node populateArbit(Node head)
{
// Reverse given linked list
head = reverse(head);
// Initialize pointer to maximum value node
Node max = head;
// Traverse the reversed list
Node temp = head.next;
while (temp != null)
{
// Connect max through arbit pointer
temp.arbit = max;
// Update max if required
if (max.data < temp.data)
max = temp;
// Move ahead in reversed list
temp = temp.next;
}
// Reverse modified linked list and return
// head.
return reverse(head);
}
// Utility function to print result linked list
static void printNextArbitPointers(Node node)
{
System.out.println("Node\tNext Pointer\tArbit Pointer");
while (node != null)
{
System.out.print(node.data + "\t\t");
if (node.next != null)
System.out.print(node.next.data + "\t\t");
else
System.out.print("NULL" +"\t\t");
if (node.arbit != null)
System.out.print(node.arbit.data);
else
System.out.print("NULL");
System.out.println();
node = node.next;
}
}
/* Function to create a new node with given data */
static Node newNode(int data)
{
Node new_node = new Node();
new_node.data = data;
new_node.next = null;
return new_node;
}
/* Driver code*/
public static void main(String[] args)
{
Node head = newNode(5);
head.next = newNode(10);
head.next.next = newNode(2);
head.next.next.next = newNode(3);
head = populateArbit(head);
System.out.println("Resultant Linked List is: ");
printNextArbitPointers(head);
}
}
// This code is contributed by Prerna Saini.
Python
# Python Program to point arbit pointers to highest
# value on its right
# Node class
class Node:
# Constructor to initialize the node object
def __init__(self, data):
self.data = data
self.next = None
self.arbit = None
# Function to reverse the linked list
def reverse(head):
prev = None
current = head
next = None
while (current != None):
next = current.next
current.next = prev
prev = current
current = next
return prev
# This function populates arbit pointer in every
# node to the greatest value to its right.
def populateArbit(head):
# Reverse given linked list
head = reverse(head)
# Initialize pointer to maximum value node
max = head
# Traverse the reversed list
temp = head.next
while (temp != None):
# Connect max through arbit pointer
temp.arbit = max
# Update max if required
if (max.data < temp.data):
max = temp
# Move ahead in reversed list
temp = temp.next
# Reverse modified linked list and return
# head.
return reverse(head)
# Utility function to print result linked list
def printNextArbitPointers(node):
print("Node\tNext Pointer\tArbit Pointer\n")
while (node != None):
print( node.data , "\t\t",end = "")
if (node.next != None):
print( node.next.data , "\t\t",end = "")
else :
print( "None" , "\t\t",end = "")
if (node.arbit != None):
print( node.arbit.data,end = "")
else :
print( "None",end = "")
print("\n")
node = node.next
# Function to create a new node with given data
def newNode(data):
new_node = Node(0)
new_node.data = data
new_node.next = None
return new_node
# Driver code
head = newNode(5)
head.next = newNode(10)
head.next.next = newNode(2)
head.next.next.next = newNode(3)
head = populateArbit(head)
print("Resultant Linked List is: \n")
printNextArbitPointers(head)
# This code is contributed by Arnab Kundu
C#
// C# program to point arbit pointers
// to highest value on its right
using System;
class GfG
{
/* Link list node */
class Node
{
public int data;
public Node next, arbit;
}
/* Function to reverse the linked list */
static Node reverse(Node head)
{
Node prev = null, current = head, next = null;
while (current != null)
{
next = current.next;
current.next = prev;
prev = current;
current = next;
}
return prev;
}
// This function populates arbit pointer in every
// node to the greatest value to its right.
static Node populateArbit(Node head)
{
// Reverse given linked list
head = reverse(head);
// Initialize pointer to maximum value node
Node max = head;
// Traverse the reversed list
Node temp = head.next;
while (temp != null)
{
// Connect max through arbit pointer
temp.arbit = max;
// Update max if required
if (max.data < temp.data)
max = temp;
// Move ahead in reversed list
temp = temp.next;
}
// Reverse modified linked list
// and return head.
return reverse(head);
}
// Utility function to print result linked list
static void printNextArbitPointers(Node node)
{
Console.WriteLine("Node\tNext Pointer\tArbit Pointer");
while (node != null)
{
Console.Write(node.data + "\t\t");
if (node.next != null)
Console.Write(node.next.data + "\t\t");
else
Console.Write("NULL" +"\t\t");
if (node.arbit != null)
Console.Write(node.arbit.data);
else
Console.Write("NULL");
Console.WriteLine();
node = node.next;
}
}
/* Function to create a new node with given data */
static Node newNode(int data)
{
Node new_node = new Node();
new_node.data = data;
new_node.next = null;
return new_node;
}
/* Driver code*/
public static void Main(String[] args)
{
Node head = newNode(5);
head.next = newNode(10);
head.next.next = newNode(2);
head.next.next.next = newNode(3);
head = populateArbit(head);
Console.WriteLine("Resultant Linked List is: ");
printNextArbitPointers(head);
}
}
/* This code is contributed by 29AjayKumar */
Javascript
C++
// C++ program to point arbit pointers to highest
// value on its right
#include
using namespace std;
/* Link list node */
struct Node
{
int data;
Node* next, *arbit;
};
// This function populates arbit pointer in every
// node to the greatest value to its right.
void populateArbit(Node *head)
{
// using static maxNode to keep track of maximum
// orbit node address on right side
static Node *maxNode;
// if head is null simply return the list
if (head == NULL)
return;
/* if head->next is null it means we reached at
the last node just update the max and maxNode */
if (head->next == NULL)
{
maxNode = head;
return;
}
/* Calling the populateArbit to the next node */
populateArbit(head->next);
/* updating the arbit node of the current
node with the maximum value on the right side */
head->arbit = maxNode;
/* if current Node value id greater then
the previous right node then update it */
if (head->data > maxNode->data)
maxNode = head;
return;
}
// Utility function to print result linked list
void printNextArbitPointers(Node *node)
{
printf("Node\tNext Pointer\tArbit Pointer\n");
while (node!=NULL)
{
cout << node->data << "\t\t";
if(node->next)
cout << node->next->data << "\t\t";
else cout << "NULL" << "\t\t";
if(node->arbit)
cout << node->arbit->data;
else cout << "NULL";
cout << endl;
node = node->next;
}
}
/* Function to create a new node with given data */
Node *newNode(int data)
{
Node *new_node = new Node;
new_node->data = data;
new_node->next = NULL;
return new_node;
}
/* Driver program to test above functions*/
int main()
{
Node *head = newNode(5);
head->next = newNode(10);
head->next->next = newNode(2);
head->next->next->next = newNode(3);
populateArbit(head);
printf("Resultant Linked List is: \n");
printNextArbitPointers(head);
return 0;
}
Java
// Java program to point arbit pointers to highest
// value on its right
class GfG
{
/* Link list node */
static class Node
{
int data;
Node next, arbit;
}
static Node maxNode;
// This function populates arbit pointer in every
// node to the greatest value to its right.
static void populateArbit(Node head)
{
// if head is null simply return the list
if (head == null)
return;
/* if head->next is null it means we reached at
the last node just update the max and maxNode */
if (head.next == null)
{
maxNode = head;
return;
}
/* Calling the populateArbit to the next node */
populateArbit(head.next);
/* updating the arbit node of the current
node with the maximum value on the right side */
head.arbit = maxNode;
/* if current Node value id greater then
the previous right node then update it */
if (head.data > maxNode.data)
maxNode = head;
return;
}
// Utility function to print result linked list
static void printNextArbitPointers(Node node)
{
System.out.println("Node\tNext Pointer\tArbit Pointer");
while (node != null)
{
System.out.print(node.data + "\t\t\t");
if (node.next != null)
System.out.print(node.next.data + "\t\t\t\t");
else
System.out.print("NULL" +"\t\t\t");
if (node.arbit != null)
System.out.print(node.arbit.data);
else
System.out.print("NULL");
System.out.println();
node = node.next;
}
}
/* Function to create a new node with given data */
static Node newNode(int data)
{
Node new_node = new Node();
new_node.data = data;
new_node.next = null;
return new_node;
}
/* Driver code*/
public static void main(String[] args)
{
Node head = newNode(5);
head.next = newNode(10);
head.next.next = newNode(2);
head.next.next.next = newNode(3);
populateArbit(head);
System.out.println("Resultant Linked List is: ");
printNextArbitPointers(head);
}
}
// This code is contributed by shubham96301
Python3
# Python3 program to poarbit pointers to highest
# value on its right
''' Link list node '''
# Node class
class newNode:
# Constructor to initialize the node object
def __init__(self, data):
self.data = data
self.next = None
self.arbit = None
# This function populates arbit pointer in every
# node to the greatest value to its right.
maxNode = newNode(None)
def populateArbit(head):
# using static maxNode to keep track of maximum
# orbit node address on right side
global maxNode
# if head is null simply return the list
if (head == None):
return
''' if head.next is null it means we reached at
the last node just update the max and maxNode '''
if (head.next == None):
maxNode = head
return
''' Calling the populateArbit to the next node '''
populateArbit(head.next)
''' updating the arbit node of the current
node with the maximum value on the right side '''
head.arbit = maxNode
''' if current Node value id greater then
the previous right node then update it '''
if (head.data > maxNode.data and maxNode.data != None ):
maxNode = head
return
# Utility function to prresult linked list
def printNextArbitPointers(node):
print("Node\tNext Pointer\tArbit Pointer")
while (node != None):
print(node.data,"\t\t", end = "")
if(node.next):
print(node.next.data,"\t\t", end = "")
else:
print("NULL","\t\t", end = "")
if(node.arbit):
print(node.arbit.data, end = "")
else:
print("NULL", end = "")
print()
node = node.next
''' Driver code'''
head = newNode(5)
head.next = newNode(10)
head.next.next = newNode(2)
head.next.next.next = newNode(3)
populateArbit(head)
print("Resultant Linked List is:")
printNextArbitPointers(head)
# This code is contributed by SHUBHAMSINGH10
C#
// C# program to point arbit pointers to highest
// value on its right
using System;
class GfG
{
/* Link list node */
public class Node
{
public int data;
public Node next, arbit;
}
static Node maxNode;
// This function populates arbit pointer in every
// node to the greatest value to its right.
static void populateArbit(Node head)
{
// if head is null simply return the list
if (head == null)
return;
/* if head->next is null it means we reached at
the last node just update the max and maxNode */
if (head.next == null)
{
maxNode = head;
return;
}
/* Calling the populateArbit to the next node */
populateArbit(head.next);
/* updating the arbit node of the current
node with the maximum value on the right side */
head.arbit = maxNode;
/* if current Node value id greater then
the previous right node then update it */
if (head.data > maxNode.data)
maxNode = head;
return;
}
// Utility function to print result linked list
static void printNextArbitPointers(Node node)
{
Console.WriteLine("Node\tNext Pointer\tArbit Pointer");
while (node != null)
{
Console.Write(node.data + "\t\t\t");
if (node.next != null)
Console.Write(node.next.data + "\t\t\t\t");
else
Console.Write("NULL" +"\t\t\t");
if (node.arbit != null)
Console.Write(node.arbit.data);
else
Console.Write("NULL");
Console.WriteLine();
node = node.next;
}
}
/* Function to create a new node with given data */
static Node newNode(int data)
{
Node new_node = new Node();
new_node.data = data;
new_node.next = null;
return new_node;
}
/* Driver code*/
public static void Main(String[] args)
{
Node head = newNode(5);
head.next = newNode(10);
head.next.next = newNode(2);
head.next.next.next = newNode(3);
populateArbit(head);
Console.WriteLine("Resultant Linked List is: ");
printNextArbitPointers(head);
}
}
/* This code contributed by PrinciRaj1992 */
Javascript
输出:
Resultant Linked List is:
Node Next Pointer Arbit Pointer
5 10 10
10 2 3
2 3 3
3 NULL NULL
递归解决方案:
我们可以递归地到达最后一个节点,并从末尾遍历链表。递归解决方案不需要反转链表。我们还可以使用堆栈代替递归来临时保存节点。感谢 Santosh Kumar Mishra 提供此解决方案。
C++
// C++ program to point arbit pointers to highest
// value on its right
#include
using namespace std;
/* Link list node */
struct Node
{
int data;
Node* next, *arbit;
};
// This function populates arbit pointer in every
// node to the greatest value to its right.
void populateArbit(Node *head)
{
// using static maxNode to keep track of maximum
// orbit node address on right side
static Node *maxNode;
// if head is null simply return the list
if (head == NULL)
return;
/* if head->next is null it means we reached at
the last node just update the max and maxNode */
if (head->next == NULL)
{
maxNode = head;
return;
}
/* Calling the populateArbit to the next node */
populateArbit(head->next);
/* updating the arbit node of the current
node with the maximum value on the right side */
head->arbit = maxNode;
/* if current Node value id greater then
the previous right node then update it */
if (head->data > maxNode->data)
maxNode = head;
return;
}
// Utility function to print result linked list
void printNextArbitPointers(Node *node)
{
printf("Node\tNext Pointer\tArbit Pointer\n");
while (node!=NULL)
{
cout << node->data << "\t\t";
if(node->next)
cout << node->next->data << "\t\t";
else cout << "NULL" << "\t\t";
if(node->arbit)
cout << node->arbit->data;
else cout << "NULL";
cout << endl;
node = node->next;
}
}
/* Function to create a new node with given data */
Node *newNode(int data)
{
Node *new_node = new Node;
new_node->data = data;
new_node->next = NULL;
return new_node;
}
/* Driver program to test above functions*/
int main()
{
Node *head = newNode(5);
head->next = newNode(10);
head->next->next = newNode(2);
head->next->next->next = newNode(3);
populateArbit(head);
printf("Resultant Linked List is: \n");
printNextArbitPointers(head);
return 0;
}
Java
// Java program to point arbit pointers to highest
// value on its right
class GfG
{
/* Link list node */
static class Node
{
int data;
Node next, arbit;
}
static Node maxNode;
// This function populates arbit pointer in every
// node to the greatest value to its right.
static void populateArbit(Node head)
{
// if head is null simply return the list
if (head == null)
return;
/* if head->next is null it means we reached at
the last node just update the max and maxNode */
if (head.next == null)
{
maxNode = head;
return;
}
/* Calling the populateArbit to the next node */
populateArbit(head.next);
/* updating the arbit node of the current
node with the maximum value on the right side */
head.arbit = maxNode;
/* if current Node value id greater then
the previous right node then update it */
if (head.data > maxNode.data)
maxNode = head;
return;
}
// Utility function to print result linked list
static void printNextArbitPointers(Node node)
{
System.out.println("Node\tNext Pointer\tArbit Pointer");
while (node != null)
{
System.out.print(node.data + "\t\t\t");
if (node.next != null)
System.out.print(node.next.data + "\t\t\t\t");
else
System.out.print("NULL" +"\t\t\t");
if (node.arbit != null)
System.out.print(node.arbit.data);
else
System.out.print("NULL");
System.out.println();
node = node.next;
}
}
/* Function to create a new node with given data */
static Node newNode(int data)
{
Node new_node = new Node();
new_node.data = data;
new_node.next = null;
return new_node;
}
/* Driver code*/
public static void main(String[] args)
{
Node head = newNode(5);
head.next = newNode(10);
head.next.next = newNode(2);
head.next.next.next = newNode(3);
populateArbit(head);
System.out.println("Resultant Linked List is: ");
printNextArbitPointers(head);
}
}
// This code is contributed by shubham96301
蟒蛇3
# Python3 program to poarbit pointers to highest
# value on its right
''' Link list node '''
# Node class
class newNode:
# Constructor to initialize the node object
def __init__(self, data):
self.data = data
self.next = None
self.arbit = None
# This function populates arbit pointer in every
# node to the greatest value to its right.
maxNode = newNode(None)
def populateArbit(head):
# using static maxNode to keep track of maximum
# orbit node address on right side
global maxNode
# if head is null simply return the list
if (head == None):
return
''' if head.next is null it means we reached at
the last node just update the max and maxNode '''
if (head.next == None):
maxNode = head
return
''' Calling the populateArbit to the next node '''
populateArbit(head.next)
''' updating the arbit node of the current
node with the maximum value on the right side '''
head.arbit = maxNode
''' if current Node value id greater then
the previous right node then update it '''
if (head.data > maxNode.data and maxNode.data != None ):
maxNode = head
return
# Utility function to prresult linked list
def printNextArbitPointers(node):
print("Node\tNext Pointer\tArbit Pointer")
while (node != None):
print(node.data,"\t\t", end = "")
if(node.next):
print(node.next.data,"\t\t", end = "")
else:
print("NULL","\t\t", end = "")
if(node.arbit):
print(node.arbit.data, end = "")
else:
print("NULL", end = "")
print()
node = node.next
''' Driver code'''
head = newNode(5)
head.next = newNode(10)
head.next.next = newNode(2)
head.next.next.next = newNode(3)
populateArbit(head)
print("Resultant Linked List is:")
printNextArbitPointers(head)
# This code is contributed by SHUBHAMSINGH10
C#
// C# program to point arbit pointers to highest
// value on its right
using System;
class GfG
{
/* Link list node */
public class Node
{
public int data;
public Node next, arbit;
}
static Node maxNode;
// This function populates arbit pointer in every
// node to the greatest value to its right.
static void populateArbit(Node head)
{
// if head is null simply return the list
if (head == null)
return;
/* if head->next is null it means we reached at
the last node just update the max and maxNode */
if (head.next == null)
{
maxNode = head;
return;
}
/* Calling the populateArbit to the next node */
populateArbit(head.next);
/* updating the arbit node of the current
node with the maximum value on the right side */
head.arbit = maxNode;
/* if current Node value id greater then
the previous right node then update it */
if (head.data > maxNode.data)
maxNode = head;
return;
}
// Utility function to print result linked list
static void printNextArbitPointers(Node node)
{
Console.WriteLine("Node\tNext Pointer\tArbit Pointer");
while (node != null)
{
Console.Write(node.data + "\t\t\t");
if (node.next != null)
Console.Write(node.next.data + "\t\t\t\t");
else
Console.Write("NULL" +"\t\t\t");
if (node.arbit != null)
Console.Write(node.arbit.data);
else
Console.Write("NULL");
Console.WriteLine();
node = node.next;
}
}
/* Function to create a new node with given data */
static Node newNode(int data)
{
Node new_node = new Node();
new_node.data = data;
new_node.next = null;
return new_node;
}
/* Driver code*/
public static void Main(String[] args)
{
Node head = newNode(5);
head.next = newNode(10);
head.next.next = newNode(2);
head.next.next.next = newNode(3);
populateArbit(head);
Console.WriteLine("Resultant Linked List is: ");
printNextArbitPointers(head);
}
}
/* This code contributed by PrinciRaj1992 */
Javascript
输出:
Resultant Linked List is:
Node Next Pointer Arbit Pointer
5 10 10
10 2 3
2 3 3
3 NULL NULL
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