#include <bits/stdc++.h>
using namespace std;
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(v) begin(v),end(v)
template<typename A, typename B> inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; }
template<typename A, typename B> inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; }
using ll = long long;
using pii = pair<int, int>;
constexpr ll INF = 1ll<<30;
constexpr ll longINF = 1ll<<60;
constexpr ll MOD = 1000000007;
constexpr bool debug = false;
//---------------------------------//

int main() {
	int N, Q;
	cin >> N >> Q;
	vector<int> A(N);
	REP(i, N) scanf("%d", &A[i]);
	string S;
	cin >> S;
	vector dp(30, vector<int>(N + 1)); // [i, N)
	vector<int> orp(30, N), andp(30, N);
	REP(i, 30) {
		for (int j = N - 1; j >= 0; --j) {
			if (A[j] >> i & 1) dp[i][j] = andp[i] == N ? 0 : 1 + dp[i][andp[i]];
			else dp[i][j] = orp[i] == N ? 0 : 1 + dp[i][orp[i]];
			if (S[j] == '0' && (~A[j] >> i & 1)) andp[i] = j;
			else if (S[j] == '1' && (A[j] >> i & 1)) orp[i] = j;
		}
	}
	
	while (Q--) {
		int t;
		scanf("%d", &t);
		ll ans = 0;
		REP(i, 30) {
			int cnt = 0;
			if ((t >> i & 1) && andp[i] != N) cnt = 1 + dp[i][andp[i]];
			else if ((~t >> i & 1) && orp[i] != N) cnt = 1 + dp[i][orp[i]];
			ans += (1ll << i) * cnt;
		}
		printf("%lld\n", ans);
	}
}