Card Trick (Codeforces 1681B)
Tags: Math, implementation

Monocarp has just learned a new card trick, and can't wait to present it to you. He shows you the entire deck of $$$n$$$ cards. You see that the values of cards from the topmost to the bottommost are integers $$$a_1, a_2, \dots, a_n$$$, and all values are different.Then he asks you to shuffle the deck $$$m$$$ times. With the $$$j$$$-th shuffle, you should take $$$b_j$$$ topmost cards and move them under the remaining $$$(n - b_j)$$$ 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 $$$t$$$ ($$$1 \le t \le 10^4$$$) — the number of testcases.The first line of each testcase contains a single integer $$$n$$$ ($$$2 \le n \le 2 \cdot 10^5$$$) — the number of cards in the deck.The second line contains $$$n$$$ pairwise distinct integers $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le n$$$) — the values of the cards.The third line contains a single integer $$$m$$$ ($$$1 \le m \le 2 \cdot 10^5$$$) — the number of shuffles.The fourth line contains $$$m$$$ integers $$$b_1, b_2, \dots, b_m$$$ ($$$1 \le b_j \le n - 1$$$) — the amount of cards that are moved on the $$$j$$$-th shuffle.The sum of $$$n$$$ over all testcases doesn't exceed $$$2 \cdot 10^5$$$. The sum of $$$m$$$ over all testcases doesn't exceed $$$2 \cdot 10^5$$$.

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

Note: In the first testcase, each shuffle effectively swaps two cards. After three swaps, the deck will be $$$[2, 1]$$$.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 $$$3$$$.

Sample Inputs:
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

Sample Outputs:
2
3
3

Solution (Python):
""""""

def i():
    n = int(input())
    s = input().split()
    m = input()
    c = sum(map(int, input().split())) % n
    return str(s[c])
t = int(input())
a = []
for _ in range(t):
    a.append(i())
print('\n'.join(a))

Solution (Python):
import sys

def get_ints():
    return map(int, sys.stdin.readline().strip().split())

def get_list():
    return list(map(int, sys.stdin.readline().strip().split()))

def get_list_string():
    return list(map(str, sys.stdin.readline().strip().split()))

def get_string():
    return sys.stdin.readline().strip()

def get_int():
    return int(sys.stdin.readline().strip())

def get_print_int(x):
    sys.stdout.write(str(x) + '\n')

def get_print(x):
    sys.stdout.write(x + '\n')

def get_print_int_same(x):
    sys.stdout.write(str(x) + ' ')

def get_print_same(x):
    sys.stdout.write(x + ' ')

def solve():
    for _ in range(get_int()):
        n = get_int()
        arr = get_list()
        m = get_int()
        op = get_list()
        get_print_int(arr[sum(op) % n])
solve()

Solution (Python):
for _ in range(int(input())):
    n = int(input())
    a = list(map(int, input().split()))
    m = int(input())
    print(a[sum(map(int, input().split())) % n])