Skip to main content

Reverse a singly linked list

One of the commonly used interview question is - how do you reverse a linked list?

If you talk about a recursive function to print the list in reverse order, you are so wrong. The question is to reverse the nodes of list. Not print the nodes in reverse order.

So how do you go about reversing the nodes.

You need to take each node and link it to previous node. But a singly linked list does not have previous pointer.

So if n1 is current node, n2 = n1->next, you should set

    n2->next = NULL

But doing this would cut off the list at n2.

So the solution is recursion. That is to reverse n nodes  n1,n2,n3... of a list,
  • reverse the sub list from n2,n3,n4....
  • link n2->next to n1
  • set n1->next to NULL
The last step is necessary because, once we reverse the list, first node must become last node and should be pointing to NULL.

But now the difficulty is regarding the head? Where is head and how do we set it?

Once we reach end of list  viz n1->next ==NULL, this node must become new head of the list. We have to store it in a static variable, in order not to change it. 
  1. set current node =n1
  2. if lastnode set head =n1
  3. set node2 = nextnode
  4. recursively reverse list from node2 to end of list
  5. set node2->next = l1
  6. set l1->next = NULL
And here is reverse function


NODEPTR reverse_list(NODEPTR l1)
{
static NODEPTR head;
if(l1->next==NULL)
{
head = l1;
return l1;
}
else
{
NODEPTR node2 = l1->next;
reverse_list(node2);
node2->next = l1;
l1->next = NULL;
return head;
}
}

And this is the complete program.


#include<stdio.h>  
#include<stdlib.h>
struct node
{
int n;
struct node *next;
};
typedef struct node * NODEPTR;

NODEPTR create_node(int value)
{
NODEPTR temp = (NODEPTR) malloc(sizeof(struct node));
temp->next = NULL;
temp->n = value;
return temp;
}

NODEPTR append_node(NODEPTR head, NODEPTR newnode)
{
NODEPTR temp = head;
if(temp==NULL)
return newnode;
while(temp->next !=NULL)
temp = temp->next;
temp->next = newnode;
return head;
}

void display_nodes(NODEPTR head)
{
NODEPTR temp = head;//redundant
while (temp!= NULL)
{
printf("%d====>",temp->n);
temp = temp->next;
}
printf("\n");
}

NODEPTR reverse_list(NODEPTR l1)
{
static NODEPTR head;
if(l1->next==NULL)
{
head = l1;
return l1;
}
else
{
NODEPTR node2 = l1->next;
reverse_list(node2);
node2->next = l1;
l1->next = NULL;
return head;
}
}

NODEPTR delete_node(NODEPTR head, NODEPTR dnode)
{
NODEPTR temp = head;
NODEPTR prev = NULL;
if(dnode==head)
{
head = head->next;
}
while (temp !=NULL && temp!=dnode)
{
prev = temp;
temp = temp->next;
}

if(prev!=NULL)
{
prev->next = temp->next;
}

free(dnode);
return head;
}

int main()
{
NODEPTR head;
NODEPTR newnode,dnode;
int numnodes,i;
//initialize head
head = NULL;
printf("Number of nodes = ");
scanf("%d",&numnodes);

for(i = 0;i<numnodes;i++)
{
int value;
NODEPTR newnode;
printf("node value=");
scanf("%d",&value);
newnode = create_node(value);
head = append_node(head,newnode);
}
printf("The linked list now is ");
display_nodes(head);
head = reverse_list(head);
printf("Now the list is ");
display_nodes(head);
}

You can download the program from here.

Comments

Popular posts from this blog

Program to create a Linked List in C

An array is a commonly used data structure in most of the languages. Because it is simple, it needs O(1) time for accessing elements. It is also compact. But an array has a serious drawback - it can not grow or shrink. You need to estimate the array size and define it during compile time. This drawback is not present a linked list. A linked list is a data structure which can grow or shrink dynamically.  A linked list has nodes each of which contain  contain  data and a link to next node . These nodes are dynamically allocated structures. If you need more nodes, you just need to allocate memory for these and link these nodes to the existing list. The nodes of a linked list have to be defined as self-referential structures in C. That is structures with data members and one member which is a pointer to the structure of same type.  This pointer will work as a link to next node. struct node { int data; struct node * next; //pointer to another node }...

Mirror tree

Question : Write a function to mirror a binary tree. The mirror tree will have a left subtree and right subtree swapped. But this has to be done for each and every node. So to convert a tree to its mirror, we can write an algorithm like this               1) mirror left subtree recursively               2) mirror right subtree recursively               3) swap left and right children of the current node. Here is the function for it. void mirror_tree (NODEPTR root) { if (root != NULL ) { NODEPTR temp = root -> left; root -> left = root -> right; root -> right = temp; mirror_tree(root -> left); mirror_tree(root -> right); } }

Josephus problem

Question: Write a function to delete every k th node from circular linked list until only one node is left. This has a story associated with it. Flavius Josephus was Jewish Historian from 1st century. He and 40 other soldiers were trapped in a cave by Romans. They decided to kill themselves rather than surrendering to Romans. Their method was like this. All the soldiers will stand in a circle and every k th soldier will be shot dead. Josephus said to have calculated the starting point so that he would remain alive. So we have similar problem at hand. We delete every kth node in a circular list. Eventually only one node will be left. e.g. Let us say this is our list And we are deleting every third node.  We will delete 30. Then we delete 60. Next we delete 10. Next it will be 50. Next to be deleted is 20. Next 80. This continues. Implementation   We can count k-1 nodes and delete next node. This can be repeated in  a loop. What must be the termina...