import sys,threading
input=lambda:sys.stdin.readline().rstrip()
x,y,z,w=123456789,362436069,521288629,88675123
mod=100003
def inv(A):
	rem=mod-2
	temp=A
	ret=1
	while rem:
		if rem%2:
			ret=(ret*temp)%mod
		temp=(temp**2)%mod
		rem>>=1
	return ret
def calc1(A,Q,ans):
	ret=0
	for i in A:
		ret=max(ret,(Q*i)%mod)
		if ans[0]!=-1:
			return
	ans[0]=ret
def calc2(B,Q,ans):
	invQ=inv(Q)
	for i in range(mod-1,-1,-1):
		if (i*invQ)%mod in B:
			ans[0]=i
			return
		if ans[0]!=-1:
			return
N,M=map(int,input().split())
A=[0]*N
for i in range(N):
	t=x^((x<<11)%(1<<32))
	x,y,z=y,z,w
	w=w^(w>>19)^(t^(t>>8))
	A[i]=w%mod
B=set(A)
for i in range(M):
	Q=int(input())
	if Q==0:
		print(0)
		continue
	ans=[-1]
	th1=threading.Thread(target=calc1,args=(A,Q,ans))
	th2=threading.Thread(target=calc2,args=(B,Q,ans))
	th1.start()
	th2.start()
	for i in threading.enumerate():
		if threading.main_thread()!=i:
			i.join()
	print(ans[0])