Modify contents of Linked List
Given a singly linked list containing n nodes. Modify the value of first half nodes such that 1st node’s new value is equal to the last node’s value minus first node’s current value, 2nd node’s new value is equal to the second last node’s value minus 2nd node’s current value, likewise for first half nodes. If n is odd then the value of the middle node remains unchanged.
(No extra memory to be used).
Examples:
Input : 10 -> 4 -> 5 -> 3 -> 6 Output : 4 -> 1 -> 5 -> 3 -> 6 Input : 2 -> 9 -> 8 -> 12 -> 7 -> 10 Output : -8 -> 2 -> -4 -> 12 -> 7 -> 10
Asked in Amazon Interview
Approach: The following steps are:
- Split the list from the middle. Perform front and back split. If the number of elements is odd, the extra element should go in the 1st(front) list.
- Reverse the 2nd(back) list.
- Perform the required subtraction while traversing both list simultaneously.
- Again reverse the 2nd list.
- Concatenate the 2nd list back to the end of the 1st list.
Implementation:
C++
// C++ implementation to modify the contents of // the linked list #include <bits/stdc++.h> using namespace std; /* Linked list node */ struct Node { int data; struct Node* next; }; /* function prototype for printing the list */ void printList( struct Node*); /* Function to insert a node at the beginning of the linked list */ 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 at the end of the new node */ new_node->next = *head_ref; /* move the head to point to the new node */ *head_ref = new_node; } /* Split the nodes of the given list into front and back halves, and return the two lists using the reference parameters. Uses the fast/slow pointer strategy. */ void frontAndBackSplit( struct Node *head, struct Node **front_ref, struct Node **back_ref) { Node *slow, *fast; slow = head; fast = head->next; /* Advance 'fast' two nodes, and advance 'slow' one node */ while (fast != NULL) { fast = fast->next; if (fast != NULL) { slow = slow->next; fast = fast->next; } } /* 'slow' is before the midpoint in the list, so split it in two at that point. */ *front_ref = head; *back_ref = slow->next; slow->next = NULL; } /* Function to reverse the linked list */ void reverseList( struct Node **head_ref) { struct Node *current, *prev, *next; current = *head_ref; prev = NULL; while (current != NULL) { next = current->next; current->next = prev; prev = current; current = next; } *head_ref = prev; } // perform the required subtraction operation on // the 1st half of the linked list void modifyTheContentsOf1stHalf( struct Node *front, struct Node *back) { // traversing both the lists simultaneously while (back != NULL) { // subtraction operation and node data // modification front->data = front->data - back->data; front = front->next; back = back->next; } } // function to concatenate the 2nd(back) list at the end of // the 1st(front) list and returns the head of the new list struct Node* concatFrontAndBackList( struct Node *front, struct Node *back) { struct Node *head = front; while (front->next != NULL) front = front->next; front->next = back; return head; } // function to modify the contents of the linked list struct Node* modifyTheList( struct Node *head) { // if list is empty or contains only single node if (!head || head->next == NULL) return head; struct Node *front, *back; // split the list into two halves // front and back lists frontAndBackSplit(head, &front, &back); // reverse the 2nd(back) list reverseList(&back); // modify the contents of 1st half modifyTheContentsOf1stHalf(front, back); // again reverse the 2nd(back) list reverseList(&back); // concatenating the 2nd list back to the // end of the 1st list head = concatFrontAndBackList(front, back); // pointer to the modified list return head; } // function to print the linked list void printList( struct Node *head) { if (!head) return ; while (head->next != NULL) { cout << head->data << " -> " ; head = head->next; } cout << head->data << endl; } // Driver program to test above int main() { struct Node *head = NULL; // creating the linked list push(&head, 10); push(&head, 7); push(&head, 12); push(&head, 8); push(&head, 9); push(&head, 2); // modify the linked list head = modifyTheList(head); // print the modified linked list cout << "Modified List:" << endl; printList(head); return 0; } |
Java
// Java implementation to modify the contents // of the linked list class GFG { /* Linked list node */ static class Node { int data; Node next; }; /* Function to insert a node at the beginning of the linked list */ static Node 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 at the end of the new node */ new_node.next = head_ref; /* move the head to point to the new node */ head_ref = new_node; return head_ref; } static Node front,back; /* Split the nodes of the given list into front and back halves, and return the two lists using the reference parameters. Uses the fast/slow pointer strategy. */ static void frontAndBackSplit( Node head) { Node slow, fast; slow = head; fast = head.next; /* Advance 'fast' two nodes, and advance 'slow' one node */ while (fast != null ) { fast = fast.next; if (fast != null ) { slow = slow.next; fast = fast.next; } } /* 'slow' is before the midpoint in the list, so split it in two at that point. */ front = head; back = slow.next; slow.next = null ; } /* Function to reverse the linked list */ static Node reverseList( Node head_ref) { Node current, prev, next; current = head_ref; prev = null ; while (current != null ) { next = current.next; current.next = prev; prev = current; current = next; } head_ref = prev; return head_ref; } // perform the required subtraction operation // on the 1st half of the linked list static void modifyTheContentsOf1stHalf() { Node front1 = front, back1 = back; // traversing both the lists simultaneously while (back1 != null ) { // subtraction operation and node data // modification front1.data = front1.data - back1.data; front1 = front1.next; back1 = back1.next; } } // function to concatenate the 2nd(back) list // at the end of the 1st(front) list and // returns the head of the new list static Node concatFrontAndBackList(Node front, Node back) { Node head = front; if (front == null ) return back; while (front.next != null ) front = front.next; front.next = back; return head; } // function to modify the contents of the linked list static Node modifyTheList( Node head) { // if list is empty or contains only single node if (head == null || head.next == null ) return head; front = null ; back = null ; // split the list into two halves // front and back lists frontAndBackSplit(head); // reverse the 2nd(back) list back = reverseList(back); // modify the contents of 1st half modifyTheContentsOf1stHalf(); // agains reverse the 2nd(back) list back = reverseList(back); // concatenating the 2nd list back to the // end of the 1st list head = concatFrontAndBackList(front, back); // pointer to the modified list return head; } // function to print the linked list static void printList( Node head) { if (head == null ) return ; while (head.next != null ) { System.out.print(head.data + " -> " ); head = head.next; } System.out.println(head.data ); } // Driver Code public static void main(String args[]) { Node head = null ; // creating the linked list head = push(head, 10 ); head = push(head, 7 ); head = push(head, 12 ); head = push(head, 8 ); head = push(head, 9 ); head = push(head, 2 ); // modify the linked list head = modifyTheList(head); // print the modified linked list System.out.println( "Modified List:" ); printList(head); } } // This code is contributed by Arnab Kundu |
Python3
# Python3 implementation to modify the contents # of the linked list # Linked list node class Node: def __init__( self , data): self .data = data self . next = None # 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 at the end #of the new node new_node. next = head_ref # move the head to point to the new node head_ref = new_node return head_ref front = None back = None # Split the nodes of the given list # into front and back halves, # and return the two lists # using the reference parameters. # Uses the fast/slow pointer strategy. def frontAndBackSplit( head): global front global back slow = None fast = None slow = head fast = head. next # Advance 'fast' two nodes, and # advance 'slow' one node while (fast ! = None ): fast = fast. next if (fast ! = None ): slow = slow. next fast = fast. next # 'slow' is before the midpoint in the list, # so split it in two at that point. front = head back = slow. next slow. next = None return head # Function to reverse the linked list def reverseList( head_ref): current = None prev = None next = None current = head_ref prev = None while (current ! = None ): next = current. next current. next = prev prev = current current = next head_ref = prev return head_ref # perform the required subtraction operation # on the 1st half of the linked list def modifyTheContentsOf1stHalf(): global front global back front1 = front back1 = back # traversing both the lists simultaneously while (back1 ! = None ): # subtraction operation and node data # modification front1.data = front1.data - back1.data front1 = front1. next back1 = back1. next # function to concatenate the 2nd(back) list # at the end of the 1st(front) list and # returns the head of the new list def concatFrontAndBackList( front, back): head = front if (front = = None ): return back while (front. next ! = None ): front = front. next front. next = back return head # function to modify the contents of the linked list def modifyTheList( head): global front global back # if list is empty or contains only single node if (head = = None or head. next = = None ): return head front = None back = None # split the list into two halves # front and back lists frontAndBackSplit(head) # reverse the 2nd(back) list back = reverseList(back) # modify the contents of 1st half modifyTheContentsOf1stHalf() # agains reverse the 2nd(back) list back = reverseList(back) # concatenating the 2nd list back to the # end of the 1st list head = concatFrontAndBackList(front, back) # pointer to the modified list return head # function to print the linked list def printList( head): if (head = = None ): return while (head. next ! = None ): print (head.data , " -> " ,end = "") head = head. next print (head.data ) # Driver Code head = None # creating the linked list head = push(head, 10 ) head = push(head, 7 ) head = push(head, 12 ) head = push(head, 8 ) head = push(head, 9 ) head = push(head, 2 ) # modify the linked list head = modifyTheList(head) # print the modified linked list print ( "Modified List:" ) printList(head) # This code is contributed by Arnab Kundu |
C#
// C# implementation to modify the // contents of the linked list using System; class GFG { /* Linked list node */ public class Node { public int data; public Node next; }; /* Function to insert a node at the beginning of the linked list */ static Node 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 at the end of the new node */ new_node.next = head_ref; /* move the head to point to the new node */ head_ref = new_node; return head_ref; } static Node front, back; /* Split the nodes of the given list into front and back halves, and return the two lists using the reference parameters. Uses the fast/slow pointer strategy. */ static void frontAndBackSplit( Node head) { Node slow, fast; slow = head; fast = head.next; /* Advance 'fast' two nodes, and advance 'slow' one node */ while (fast != null ) { fast = fast.next; if (fast != null ) { slow = slow.next; fast = fast.next; } } /* 'slow' is before the midpoint in the list, so split it in two at that point. */ front = head; back = slow.next; slow.next = null ; } /* Function to reverse the linked list */ static Node reverseList(Node head_ref) { Node current, prev, next; current = head_ref; prev = null ; while (current != null ) { next = current.next; current.next = prev; prev = current; current = next; } head_ref = prev; return head_ref; } // perform the required subtraction operation // on the 1st half of the linked list static void modifyTheContentsOf1stHalf() { Node front1 = front, back1 = back; // traversing both the lists simultaneously while (back1 != null ) { // subtraction operation and node data // modification front1.data = front1.data - back1.data; front1 = front1.next; back1 = back1.next; } } // function to concatenate the 2nd(back) list // at the end of the 1st(front) list and // returns the head of the new list static Node concatFrontAndBackList(Node front, Node back) { Node head = front; if (front == null ) return back; while (front.next != null ) front = front.next; front.next = back; return head; } // function to modify the contents of // the linked list static Node modifyTheList(Node head) { // if list is empty or contains // only single node if (head == null || head.next == null ) return head; front = null ; back = null ; // split the list into two halves // front and back lists frontAndBackSplit(head); // reverse the 2nd(back) list back = reverseList(back); // modify the contents of 1st half modifyTheContentsOf1stHalf(); // agains reverse the 2nd(back) list back = reverseList(back); // concatenating the 2nd list back to the // end of the 1st list head = concatFrontAndBackList(front, back); // pointer to the modified list return head; } // function to print the linked list static void printList( Node head) { if (head == null ) return ; while (head.next != null ) { Console.Write(head.data + " -> " ); head = head.next; } Console.WriteLine(head.data ); } // Driver Code public static void Main() { Node head = null ; // creating the linked list head = push(head, 10); head = push(head, 7); head = push(head, 12); head = push(head, 8); head = push(head, 9); head = push(head, 2); // modify the linked list head = modifyTheList(head); // print the modified linked list Console.WriteLine( "Modified List:" ); printList(head); } } // This code is contributed by PrinciRaj1992 |
Javascript
<script> // JavaScript implementation to modify the // contents of the linked list /* Linked list node */ class Node { constructor() { this .data = 0; this .next = null ; } } /* Function to insert a node at the beginning of the linked list */ function push(head_ref, new_data) { /* allocate node */ var new_node = new Node(); /* put in the data */ new_node.data = new_data; /* link the old list at the end of the new node */ new_node.next = head_ref; /* move the head to point to the new node */ head_ref = new_node; return head_ref; } var front, back; /* Split the nodes of the given list into front and back halves, and return the two lists using the reference parameters. Uses the fast/slow pointer strategy. */ function frontAndBackSplit(head) { var slow, fast; slow = head; fast = head.next; /* Advance 'fast' two nodes, and advance 'slow' one node */ while (fast != null ) { fast = fast.next; if (fast != null ) { slow = slow.next; fast = fast.next; } } /* 'slow' is before the midpoint in the list, so split it in two at that point. */ front = head; back = slow.next; slow.next = null ; } /* Function to reverse the linked list */ function reverseList(head_ref) { var current, prev, next; current = head_ref; prev = null ; while (current != null ) { next = current.next; current.next = prev; prev = current; current = next; } head_ref = prev; return head_ref; } // perform the required subtraction operation // on the 1st half of the linked list function modifyTheContentsOf1stHalf() { var front1 = front, back1 = back; // traversing both the lists simultaneously while (back1 != null ) { // subtraction operation and node data // modification front1.data = front1.data - back1.data; front1 = front1.next; back1 = back1.next; } } // function to concatenate the 2nd(back) list // at the end of the 1st(front) list and // returns the head of the new list function concatFrontAndBackList(front, back) { var head = front; if (front == null ) return back; while (front.next != null ) front = front.next; front.next = back; return head; } // function to modify the contents of // the linked list function modifyTheList(head) { // if list is empty or contains // only single node if (head == null || head.next == null ) return head; front = null ; back = null ; // split the list into two halves // front and back lists frontAndBackSplit(head); // reverse the 2nd(back) list back = reverseList(back); // modify the contents of 1st half modifyTheContentsOf1stHalf(); // agains reverse the 2nd(back) list back = reverseList(back); // concatenating the 2nd list back to the // end of the 1st list head = concatFrontAndBackList(front, back); // pointer to the modified list return head; } // function to print the linked list function printList(head) { if (head == null ) return ; while (head.next != null ) { document.write(head.data + " -> " ); head = head.next; } document.write(head.data + "<br>" ); } // Driver Code var head = null ; // creating the linked list head = push(head, 10); head = push(head, 7); head = push(head, 12); head = push(head, 8); head = push(head, 9); head = push(head, 2); // modify the linked list head = modifyTheList(head); // print the modified linked list document.write( "Modified List: <br>" ); printList(head); </script> |
Output
Modified List: -8 -> 2 -> -4 -> 12 -> 7 -> 10
Time Complexity: O(n), where n in the number of nodes.
Space complexity: O(1) since using constant space to modify pointers
Another approach (Using Stack) :
- Find the starting point of second half Linked List.
- Push all elements of second half list into stack s.
- Traverse list starting from head using temp until stack is not empty and do Modify temp->data by subtracting the top element of stack for every node.
Below is the implementation using stack.
C++
// C++ implementation to modify the // contents of the linked list #include <bits/stdc++.h> using namespace std; // Linked list node struct Node { int data; struct Node* next; }; // function prototype for printing the list void printList( struct Node*); // Function to insert a node at the // beginning of the linked list 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 at the end of the new node new_node->next = *head_ref; // move the head to point to the new node *head_ref = new_node; } // function to print the linked list void printList( struct Node *head) { if (!head) return ; while (head->next != NULL) { cout << head->data << " -> " ; head = head->next; } cout << head->data << endl; } // Function to middle node of list. Node* find_mid(Node *head) { Node *temp = head, *slow = head, *fast = head ; while (fast && fast->next) { // Advance 'fast' two nodes, and // advance 'slow' one node slow = slow->next ; fast = fast->next->next ; } // If number of nodes are odd then update slow // by slow->next; if (fast) slow = slow->next ; return slow ; } // function to modify the contents of the linked list. void modifyTheList( struct Node *head, struct Node *slow) { // Create Stack. stack < int > s; Node *temp = head ; while (slow) { s.push( slow->data ) ; slow = slow->next ; } // Traverse the list by using temp until stack is empty. while ( !s.empty() ) { temp->data = temp->data - s.top() ; temp = temp->next ; s.pop() ; } } // Driver program to test above int main() { struct Node *head = NULL, *mid ; // creating the linked list push(&head, 10); push(&head, 7); push(&head, 12); push(&head, 8); push(&head, 9); push(&head, 2); // Call Function to Find the starting point of second half of list. mid = find_mid(head) ; // Call function to modify the contents of the linked list. modifyTheList( head, mid); // print the modified linked list cout << "Modified List:" << endl; printList(head); return 0; } // This is contributed by Mr. Gera |
Java
// Java implementation to modify the // contents of the linked list import java.util.*; class GFG { // Linked list node static class Node { int data; Node next; }; // Function to insert a node at the // beginning of the linked list static Node 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 at the end of the new node new_node.next = head_ref; // move the head to point to the new node head_ref = new_node; return head_ref; } // function to print the linked list static void printList(Node head) { if (head == null ) { return ; } while (head.next != null ) { System.out.print(head.data + "->" ); head = head.next; } System.out.print(head.data + "\n" ); } // Function to middle node of list. static Node find_mid(Node head) { Node temp = head, slow = head, fast = head; while (fast != null && fast.next != null ) { // Advance 'fast' two nodes, and // advance 'slow' one node slow = slow.next; fast = fast.next.next; } // If number of nodes are odd then update slow // by slow.next; if (fast != null ) { slow = slow.next; } return slow; } // function to modify the contents of the linked list. static void modifyTheList(Node head, Node slow) { // Create Stack. Stack<Integer> s = new Stack<Integer>(); Node temp = head; while (slow != null ) { s.add(slow.data); slow = slow.next; } // Traverse the list by using temp until stack is empty. while (!s.empty()) { temp.data = temp.data - s.peek(); temp = temp.next; s.pop(); } } // Driver program to test above public static void main(String[] args) { Node head = null , mid; // creating the linked list head = push(head, 10 ); head = push(head, 7 ); head = push(head, 12 ); head = push(head, 8 ); head = push(head, 9 ); head = push(head, 2 ); // Call Function to Find the starting // point of second half of list. mid = find_mid(head); // Call function to modify // the contents of the linked list. modifyTheList(head, mid); // print the modified linked list System.out.print( "Modified List:" + "\n" ); printList(head); } } // This code is contributed by Rajput-Ji |
Python3
# Python3 implementation to modify the # contents of the linked list # Linked list node class Node: def __init__( self ): self .data = 0 self . next = None # Function to insert a node at the # beginning of the linked list def append(head_ref, new_data): # Allocate node new_node = Node() # Put in the data new_node.data = new_data # Link the old list at the end # of the new node new_node. next = head_ref # Move the head to point to the new node head_ref = new_node return head_ref # Function to print the linked list def printList(head): if ( not head): return ; while (head. next ! = None ): print (head.data, end = ' -> ' ) head = head. next print (head.data) # Function to middle node of list. def find_mid(head): temp = head slow = head fast = head while (fast and fast. next ): # Advance 'fast' two nodes, and # advance 'slow' one node slow = slow. next fast = fast. next . next # If number of nodes are odd then # update slow by slow.next; if (fast): slow = slow. next return slow # Function to modify the contents of # the linked list. def modifyTheList(head, slow): # Create Stack. s = [] temp = head while (slow): s.append(slow.data) slow = slow. next # Traverse the list by using # temp until stack is empty. while ( len (s) ! = 0 ): temp.data = temp.data - s[ - 1 ] temp = temp. next s.pop() # Driver code if __name__ = = '__main__' : head = None # creating the linked list head = append(head, 10 ) head = append(head, 7 ) head = append(head, 12 ) head = append(head, 8 ) head = append(head, 9 ) head = append(head, 2 ) # Call Function to Find the # starting point of second half of list. mid = find_mid(head) # Call function to modify the # contents of the linked list. modifyTheList( head, mid) # Print the modified linked list print ( "Modified List:" ) printList(head) # This code is contributed by rutvik_56 |
C#
// C# implementation to modify the // contents of the linked list using System; using System.Collections.Generic; class GFG { // Linked list node public class Node { public int data; public Node next; }; // Function to insert a node at the // beginning of the linked list static Node 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 at the end of the new node new_node.next = head_ref; // move the head to point to the new node head_ref = new_node; return head_ref; } // function to print the linked list static void printList(Node head) { if (head == null ) { return ; } while (head.next != null ) { Console.Write(head.data + "->" ); head = head.next; } Console.Write(head.data + "\n" ); } // Function to middle node of list. static Node find_mid(Node head) { Node temp = head, slow = head, fast = head; while (fast != null && fast.next != null ) { // Advance 'fast' two nodes, and // advance 'slow' one node slow = slow.next; fast = fast.next.next; } // If number of nodes are odd then update slow // by slow.next; if (fast != null ) { slow = slow.next; } return slow; } // function to modify the contents of the linked list. static void modifyTheList(Node head, Node slow) { // Create Stack. Stack< int > s = new Stack< int >(); Node temp = head; while (slow != null ) { s.Push(slow.data); slow = slow.next; } // Traverse the list by using temp until stack is empty. while (s.Count != 0) { temp.data = temp.data - s.Peek(); temp = temp.next; s.Pop(); } } // Driver code public static void Main(String[] args) { Node head = null , mid; // creating the linked list head = push(head, 10); head = push(head, 7); head = push(head, 12); head = push(head, 8); head = push(head, 9); head = push(head, 2); // Call Function to Find the starting // point of second half of list. mid = find_mid(head); // Call function to modify // the contents of the linked list. modifyTheList(head, mid); // print the modified linked list Console.Write( "Modified List:" + "\n" ); printList(head); } } // This code is contributed by PrinciRaj1992 |
Javascript
<script> // JavaScript implementation to modify the // contents of the linked list // Linked list node class Node { constructor(val) { this .data = val; this .next = null ; } } // Function to insert a node at the // beginning of the linked list function push(head_ref , new_data) { // allocate node var new_node = new Node(); // put in the data new_node.data = new_data; // link the old list at the end of the new node new_node.next = head_ref; // move the head to point to the new node head_ref = new_node; return head_ref; } // function to print the linked list function printList(head) { if (head == null ) { return ; } while (head.next != null ) { document.write(head.data + "->" ); head = head.next; } document.write(head.data + "<br/>" ); } // Function to middle node of list. function find_mid(head) { var temp = head, slow = head, fast = head; while (fast != null && fast.next != null ) { // Advance 'fast' two nodes, and // advance 'slow' one node slow = slow.next; fast = fast.next.next; } // If number of nodes are odd then update slow // by slow.next; if (fast != null ) { slow = slow.next; } return slow; } // function to modify the contents of the linked list. function modifyTheList(head, slow) { // Create Stack. var s = []; var temp = head; while (slow != null ) { s.push(slow.data); slow = slow.next; } // Traverse the list by using temp until stack is empty. while (s.length!=0) { temp.data = temp.data - s.pop(); temp = temp.next; } } // Driver program to test above var head = null , mid; // creating the linked list head = push(head, 10); head = push(head, 7); head = push(head, 12); head = push(head, 8); head = push(head, 9); head = push(head, 2); // Call Function to Find the starting // point of second half of list. mid = find_mid(head); // Call function to modify // the contents of the linked list. modifyTheList(head, mid); // print the modified linked list document.write( "Modified List:" + "<br/>" ); printList(head); // This code contributed by Rajput-Ji </script> |
Output
Modified List: -8 -> 2 -> -4 -> 12 -> 7 -> 10
Time Complexity : O(n)
Space Complexity : O(n/2)
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