#include<bits/stdc++.h>

#define rep(i,n) for(int i=0;i<(int)n;i++)
#define all(c) (c).begin(),(c).end()
#define mp make_pair
#define pb push_back
#define each(i,c) for(__typeof((c).begin()) i=(c).begin();i!=(c).end();i++)
#define dbg(x) cerr<<__LINE__<<": "<<#x<<" = "<<(x)<<endl

using namespace std;

typedef long long ll;
typedef vector<int> vi;
typedef pair<int,int> pi;
const int inf = (int)1e9;
const double INF = 1e12, EPS = 1e-9;

unsigned xor128_x = 123456789, xor128_y = 362436069, xor128_z = 521288629, xor128_w = 88675123;
unsigned xor128() {
	unsigned t = xor128_x ^ (xor128_x << 11);
	xor128_x = xor128_y; xor128_y = xor128_z; xor128_z = xor128_w;
	return xor128_w = xor128_w ^ (xor128_w >> 19) ^ (t ^ (t >> 8));
}
void generateA(int N, int A[]) {
    for(int i = 0; i < N; ++ i)
        A[i] = xor128() % 100003;
}


const int N = 100003;
int n, q, a[N];
unordered_set<int> xs[N];

inline ll inv(ll a)
{
	ll b = N, x = 1, y = 0;
	while(b){
		ll t = a / b;
		a -= t * b;
		swap(a, b);
		x -= t * y;
		swap(x, y);
	}
	return (N + x % N) % N;
}


int main(){
	cin.tie(0); cin.sync_with_stdio(0);
	cin >> n >> q;
	generateA(n, a);
	
	vi v;
	rep(i, n) if(a[i]) v.pb(inv(a[i]));
	sort(all(v)); v.erase(unique(all(v)), v.end());
	
	const int B = 80;
	for(int i = N - 1; i >= N - B; i--){
		for(int j : v) xs[i].insert(i * (ll)j % N);
	}
	
	rep(it, q){
		int x; cin >> x;
		if(x == 0){
			cout << 0 << endl;
			continue;
		}
		
		bool ok = 0;
		for(int i = N - 1; i >= N - B; i--) if(xs[i].count(x)){
			ok = 1;
			cout << i << endl;
			break;
		}
		if(!ok){
			int mx = 0;
			rep(i, n) mx = max((ll)mx, a[i] * (ll)x % N);
			cout << mx << endl;
		}
	}
	
	return 0;
}