Reverse Alternate Nodes of a Singly Linked List

For a given Singly Linked List of integers, you are required to reverse alternate nodes and append them to the end of the list.

For Example:

The given linked list is 1->2->3->4 then after reversing the alternate nodes we will have 1->3->4->2. 

Assuming 0 based indexing, odd indexed nodes are the alternate nodes that is, in the given linked list the node with value 2 and the node with value 4 are the alternate nodes. 

List without alternate nodes:  1->3 
List with alternate nodes:  2->4 
Reversing the list with alternate nodes: 4->2

After appending the reversed alternate nodes at the end, the updated list will be 1->3->4->2. 

Input format :

The first and the only line of input contains the elements of the singly linked list separated by a single space and terminated by -1 and hence -1 would never be a list element.

Output format :

For each test case, print a single line containing space-separated integers denoting the elements of the resultant linked list and ending with -1 denoting the end of the linked list.

The output of each test case will be printed in a separate line.

Note:

You do not need to print anything; it has already been taken care of. Just implement the given function.

Constraints :

0 <= N <= 10 ^ 6
-10 ^ 9 <= DATA <= 10 ^ 9 and DATA != -1

Where 'N' is the number of nodes in the linked list.

Time Limit: 1 sec.

Sample Input 1 :

2 4 6 8 10 -1

Sample Output 1 :

2 6 10 8 4 -1

Explanation to Sample Input 1 :

The given linked list is 2->4->6->8->10 then after reversing the alternate nodes we will have 2->6->10->8->4.


Assuming 0 based indexing, odd indexed nodes are the alternate nodes that is, in the given linked list the node with value 4 and the node with value 8 are the alternate nodes. 

List without alternate nodes:  2->6->10 
List with alternate nodes:  4->8 
Reversing the list with alternate nodes: 8->4

After appending the reversed alternate nodes at the end, the updated list will be 2->6->10->8->4. 

Sample Input 2 :

-10 20 -1

Sample Output 2 :

 -10 20 -1