Card Trick solution codeforces

Card Trick solution codeforces

Monocarp has just learned a new card trick, and can’t wait to present it to you. He shows you the entire deck of nn cards. You see that the values of cards from the topmost to the bottommost are integers a1,a2,,ana1,a2,…,an, and all values are different.

Then he asks you to shuffle the deck mm times. With the jj-th shuffle, you should take bjbj topmost cards and move them under the remaining (nbj)(n−bj) cards without changing the order.

And then, using some magic, Monocarp tells you the topmost card of the deck. However, you are not really buying that magic. You tell him that you know the topmost card yourself. Can you surprise Monocarp and tell him the topmost card before he shows it?

Input

The first line contains a single integer tt (1t1041≤t≤104) — the number of testcases.

The first line of each testcase contains a single integer nn (2n21052≤n≤2⋅105) — the number of cards in the deck.

The second line contains nn pairwise distinct integers a1,a2,,ana1,a2,…,an (1ain1≤ai≤n) — the values of the cards.

The third line contains a single integer mm (1m21051≤m≤2⋅105) — the number of shuffles.

The fourth line contains mm integers b1,b2,,bmb1,b2,…,bm (1bjn11≤bj≤n−1) — the amount of cards that are moved on the jj-th shuffle.

The sum of nn over all testcases doesn’t exceed 21052⋅105. The sum of mm over all testcases doesn’t exceed 21052⋅105.

Output

For each testcase, print a single integer — the value of the card on the top of the deck after the deck is shuffled mm times.

Example
input

Copy
3
2
1 2
3
1 1 1
4
3 1 4 2
2
3 1
5
2 1 5 4 3
5
3 2 1 2 1
output

Copy
2
3
3
Note

In the first testcase, each shuffle effectively swaps two cards. After three swaps, the deck will be [2,1][2,1].

In the second testcase, the second shuffle cancels what the first shuffle did. First, three topmost cards went underneath the last card, then that card went back below the remaining three cards. So the deck remained unchanged from the initial one — the topmost card has value

SOLUTION

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