import sys import math import bisect from heapq import heapify, heappop, heappush from collections import deque, defaultdict, Counter from functools import lru_cache from itertools import accumulate, combinations, permutations, product sys.setrecursionlimit(1000000) MOD = 10 ** 9 + 7 MOD99 = 998244353 input = lambda: sys.stdin.readline().strip() NI = lambda: int(input()) NMI = lambda: map(int, input().split()) NLI = lambda: list(NMI()) SI = lambda: input() SMI = lambda: input().split() SLI = lambda: list(SMI()) EI = lambda m: [NLI() for _ in range(m)] xor128_x = 123456789 xor128_y = 362436069 xor128_z = 521288629 xor128_w = 88675123 mask = (1 << 32) - 1 def xor128(): global xor128_x, xor128_y, xor128_z, xor128_w t = xor128_x ^ (xor128_x << 11) t &= mask xor128_x, xor128_y, xor128_z = xor128_y, xor128_z, xor128_w xor128_w = xor128_w ^ (xor128_w >> 19) ^ (t ^ (t >> 8)) xor128_w &= mask return xor128_w def generateA(N): A = [] for i in range(N): A.append(xor128() % 100003) return A def main(): N, Q = NMI() M = 100003 A = generateA(N) cutoff = 3000 if N <= 3000: for _ in range(Q): q = NI() B = [a*q % M for a in A] print(max(B)) else: SA = set(A) for _ in range(Q): q = NI() inv = pow(q, M-2, M) for x in range(M-1, M-1-3000, -1): a = x * inv % M if a in SA: print(x) break if __name__ == "__main__": main()