#include <bits/stdc++.h>

using namespace std;

using ll = long long;
using ul = unsigned long;
using ull = unsigned long long;

int main()
{
	ios::sync_with_stdio(false);
	cin.tie(nullptr);

	int n, q;
	cin >> n >> q;

	vector< vector<ll> > score(2, vector<ll>(30, 0));

	vector<ll> a(n);
	for (int i = 0; i < n; ++i)
		cin >> a[i];

	string s;
	cin >> s;
	for (int i = 0; i < 2; ++i)
	{
		bitset<30> cv(0UL);
		if (i == 1)
		{
			for (int j = 0; j < 30; ++j)
				cv.set(j);
		}
		for (int j = 0; j < 30; ++j)
		{
			for (int k = 0; k < n; ++k)
			{
				ll bit = (a[k] >> j) & 1LL, nxt;
				if (s[k] == '0')
					nxt = cv[j] & bit;
				else
					nxt = cv[j] | bit;

				score[i][j] += (cv[j] ^ nxt) << j;
				cv[j] = nxt;
			}
		}
	}

	stringstream ss;
	for (int i = 0; i < q; ++i)
	{
		ll t;
		cin >> t;

		ll ans{ 0 };
		for (int i = 0; i < 30; ++i)
			ans += score[(t >> i) & 1][i];

		ss << ans << "\n";
	}

	cout << ss.str();

	return 0;
}