Given a linked list, reverse alternate nodes and append them to end of list. Extra allowed space is O(1)

Input List:  1->2->3->4->5->6
Output List: 1->3->5->6->4->2

Input List:  12->14->16->18->20
Output List: 12->16->20->18->14

We strongly recommend to minimize the browser and try this yourself first.

The idea is to maintain two linked lists, one list of all odd positioned nodes (1, 3, 5 in above example) and other list of all even positioned nodes (6, 4 and 2 in above example). Following are detailed steps.
1) Traverse the given linked list which is considered as odd list. Do following for every visited node.
……a) If the node is even node, remove it from odd list and add it to the front of even node list. Nodes are added at front to keep the reverse order.
2) Append the even node list at the end of odd node list.


/* A linked list node */
struct node
    int data;
    struct node *next;

/* Function to reverse all even positioned node and append at the end
   odd is the head node of given linked list */
void rearrange(struct node *odd)
    // If linked list has less than 3 nodes, no change is required
    if (odd == NULL || odd->next == NULL || odd->next->next == NULL)

    // even points to the beginning of even list
    struct node *even = odd->next;

    // Remove the first even node
    odd->next = odd->next->next;

    // odd points to next node in odd list
    odd = odd->next;

    // Set terminator for even list
    even->next = NULL;

    // Traverse the  list
    while (odd && odd->next)
       // Store the next node in odd list 
       struct node *temp = odd->next->next;

       // Link the next even node at the beginning of even list
       odd->next->next = even;
       even = odd->next;

       // Remove the even node from middle
       odd->next = temp;

       // Move odd to the next odd node
       if (temp != NULL)
         odd = temp;

    // Append the even list at the end of odd list
    odd->next = even;

/* Function to add a node at the beginning of Linked List */
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 nodes in a given linked list */
void printList(struct node *node)
    while (node != NULL)
        printf("%d ", node->data);
        node = node->next;

/* Druver program to test above function */
int main()
    struct node *start = NULL;

    /* The constructed linked list is:
     1->2->3->4->5->6->7 */
    push(&start, 7);
    push(&start, 6);
    push(&start, 5);
    push(&start, 4);
    push(&start, 3);
    push(&start, 2);
    push(&start, 1);

    printf("\n Linked list before calling  rearrange() ");


    printf("\n Linked list after calling  rearrange() ");

    return 0;


 Linked list before calling  rearrange() 1 2 3 4 5 6 7
 Linked list after calling  rearrange()  1 3 5 7 6 4 2

Time Complexity: The above code simply traverses the given linked list. So time complexity is O(n)

Auxiliary Space: O(1)

This article is contributed by Aman Gupta. Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above


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