mod_val = 100003

# Initialize xor128 state variables
xor128_x = 123456789
xor128_y = 362436069
xor128_z = 521288629
xor128_w = 88675123

def xor128():
    global xor128_x, xor128_y, xor128_z, xor128_w
    t = xor128_x ^ ((xor128_x << 11) & 0xFFFFFFFF)
    t = t & 0xFFFFFFFF
    xor128_x, xor128_y, xor128_z = xor128_y, xor128_z, xor128_w
    t = t ^ (t >> 8)
    t = t & 0xFFFFFFFF
    new_w = xor128_w ^ ((xor128_w >> 19) & 0xFFFFFFFF) ^ t
    new_w = new_w & 0xFFFFFFFF
    xor128_w = new_w
    return xor128_w

def generateA(N):
    A = []
    for _ in range(N):
        val = xor128() % mod_val
        A.append(val)
    return A

import sys

def main():
    input = sys.stdin.read().split()
    ptr = 0
    N = int(input[ptr])
    ptr += 1
    Q = int(input[ptr])
    ptr += 1
    queries = []
    for _ in range(Q):
        queries.append(int(input[ptr]))
        ptr += 1
    
    A = generateA(N)
    exists = set(A)
    
    for q in queries:
        if q == 0:
            print(0)
            continue
        inv_q = pow(q, mod_val - 2, mod_val)
        for x in range(mod_val - 1, -1, -1):
            r = (x * inv_q) % mod_val
            if r in exists:
                print(x)
                break

if __name__ == "__main__":
    main()