Reverse Blocks

You are given a Singly Linked List of integers and an integer array B of size N. Each element in the array B represents a block size. Modify the linked list by reversing the nodes in each block whose sizes are given by the array B.

If you encounter a situation when B[i] is greater than the number of remaining nodes in the list, then simply reverse the remaining nodes as a block and ignore all the block sizes from B[i].

Example

Linked list: 1->2->3->4->5
Array B: 3 3 5

Output: 3->2->1->5->4

We reverse the first block of size 3 and then move to block 2. Now, since the number of nodes remaining in the list (2) is less than the block size (3), we reverse the remaining nodes (4 and 5) as a block and ignore all the block sizes that follow.

Note :

All block sizes are contiguous i.e. suppose that block B[i] ends at a node cur, then the block B[i+1] starts from the node just after the node cur.

You do not need to print anything, just return the head of the modified linked list. 

Input Format

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

The second line contains a single integer N, denoting the size of the block array.

The third line contains N single-spaced separated elements of the block array.

Output Format:

The modified linked list. The elements of the modified list should be single-space separated, terminated by -1.

Constraints:

0 <= L <= 5 * 10^5
-10^9 <= data <= 10^9 and data != -1
1 <= N <= 5 * 10^5
0 <= B[i] <= 5 * 10^5

Where L is the number of nodes in the linked list and N is the size of the blocks array.

Sample Input 1:

1 2 3 4 5 6 7 8 9 10 11 -1
3
2 3 4

Sample Output 1:

2 1 5 4 3 9 8 7 6 10 11 -1

Explanation of the Sample Input 1:

For the given input, the block sizes are 2, 3 and 4 respectively. First, we reverse 2 elements (1->2 becomes 2->1), then the next 3 elements (3->4->5 becomes 5->4->3) and lastly the next 4 elements (6->7->8->9 becomes 9->8->7->6). Thus, the final modified list becomes 2->1->5->4->3->9->8->7->6->10->11. 

Sample Input 2:

0 6 1 5 -1
2
2 3

Sample Output 2:

6 0 5 1 -1