from sys import set_int_max_str_digits
set_int_max_str_digits(0)
M = 998
mx = 10**100000


def main():
    t = int(input())
    assert(1 <= t <= 50)
    ac = 0
    for _ in range(t):
        solve()


def solve():
    n, ti = map(int, input().split())
    assert(0 <= n < 998)
    assert(1 <= ti <= 1000)
    dist = [[-1 for _ in range(M)]for _ in range(M)]
    dist[1][1] = c = 0
    u = v = 1
    s = [(1, 1)]
    while True:
        u = u*n%M
        v = (u+v)%M
        c += 1
        if dist[u][v] >= 0:
            break
        dist[u][v] = c
        s.append((u, v))
    f = dist[u][v]
    num = 0
    for _ in range(ti):
        b = input()
        num += len(b)
        k = int(b)
        assert(0 <= k < mx)
        if k < f:
            print(s[k][1])
        else:
            print(s[(k - f) % (c - f) + f][1])
    assert(num <= 100000)


if __name__ == '__main__':
    main()