Find the k-th node in a linked list

Given a linked list, you are asked to answer q queries of the form β€œWhat is the k-th value in the linked list?”.

Input

The initial data for the linked list is obtained automatically. You don’t need to do anything. It’s guaranteed that the size of the linked list does not exceed 1000 and the values in the linked list do not exceed in their absolute value.
The first line of the input contains a single integer q (1 ≀ q ≀ 1000).
The next line contains q space-separated integers (1 ≀ ≀ |L|).

Output

The program should print the answers for all q queries separated by a space.

Examples

Input
Output
10 4 8 4 0 -2 8 2 8 0 4 5 3 1 8 7 4
4 4 8 2 0
Β 

Constraints

Time limit: 2 seconds

Memory limit: 512 MB

Output limit: 1 MB

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