import sys


def input(): return sys.stdin.readline().rstrip()


def xor128():
    x, y, z, w = 123456789, 362436069, 521288629, 88675123

    while True:
        t = (x ^ (x << 11)) & 0xFFFFFFFF
        x = y
        y = z
        z = w
        w ^= (w >> 19) ^ t ^ (t >> 8)
        yield w


def main():
    N, Q = map(int, input().split())
    qv = [int(input()) for i in range(Q)]

    MOD = 100003

    X = xor128()
    A = [next(X) % MOD for i in range(N)]
    if N**2 < MOD:
        print(*(max(map(lambda x: (x*q) % MOD, A)) for q in qv), sep='\n')
    else:
        cnt = [False]*MOD
        for i in A:
            cnt[i] = True

        ans = {}

        for q in qv:
            if q == 0:
                print(0)
                continue
            if q in ans:
                print(ans[q])
                continue

            qinv = pow(q, -1, MOD)
            cur = MOD-qinv
            while True:
                if cnt[cur]:
                    ans[q] = cur * q % MOD
                    print(ans[q])
                    break
                else:
                    cur = cur - qinv if cur - qinv > 0 else cur - qinv + MOD


if __name__ == '__main__':
    main()