#include <bits/stdc++.h>
// iostream is too mainstream
#include <cstdio>
// bitch please
#include <iostream>
#include <algorithm>
#include <cstdlib>
#include <vector>
#include <set>
#include <map>
#include <queue>
#include <stack>
#include <list>
#include <cmath>
#include <iomanip>
#include <time.h>
#define dibs reserve
#define OVER9000 1234567890123456789LL
#define ALL_THE(CAKE,LIE) for(auto LIE =CAKE.begin(); LIE != CAKE.end(); LIE++)
#define tisic 47
#define soclose 1e-8
#define chocolate win
// so much chocolate
#define patkan 9
#define ff first
#define ss second
#define abs(x) ((x < 0)?-(x):x)
#define uint unsigned int
#define dbl long double
#define pi 3.14159265358979323846
using namespace std;
// mylittledoge
typedef long long cat;
#ifdef DONLINE_JUDGE
// palindromic tree is better than splay tree!
#define lld I64d
#endif
void solve(int d, int B, vector<int> & cost, int cl, int cr, vector<cat> & query, int ql, int qr, vector<int> & ans) {
if(ql == qr) return;
if(d == B) {
for(int i = ql; i < qr; i++)
ans[query[i]&((1LL<<20)-1)] += ((query[i]>>60) ? -cost[cl] : cost[cl]);
return;
}
int cnt[3] = {};
for(int i = ql; i < qr; i++) {
if((query[i]>>(40+d))&1) cnt[(query[i]>>(20+d))&1]++;
else cnt[2]++;
}
if(cnt[2] <= cnt[0] && cnt[2] <= cnt[1]) {
{
vector<int> cost_nw[2];
for(int i = 0; i < 2; i++) cost_nw[i].resize(1<<(B-1-d));
for(int i = 0; i < (1<<(B-1-d)); i++) {
cost_nw[0][i] = cost[cl+2*i];
cost_nw[1][i] = cost[cl+2*i+1];
}
for(int i = 0; i < (1<<(B-1-d)); i++) cost[cl+i] = cost_nw[0][i];
for(int i = 0; i < (1<<(B-1-d)); i++) cost[cl+(1<<(B-1-d))+i] = cost_nw[1][i];
}
int a = ql, b = qr;
for(int i = ql; i < b; i++) {
if((query[i]>>(40+d))&1) {
if((query[i]>>(20+d))&1) {
while(b > i+1 && ((query[b-1]>>(40+d))&1) == 1 && ((query[b-1]>>(20+d))&1) == 1) b--;
if(i+1 == b) break;
swap(query[i], query[b-1]);
b--;
i--;
}
else {
while(a < i && ((query[a]>>(40+d))&1) == 1 && ((query[a]>>(20+d))&1) == 0) a++;
if(a == i) continue;
swap(query[i], query[a]);
a++;
i--;
}
}
}
solve(d+1, B, cost, cl, cl+(1<<(B-1-d)), query, ql, ql+cnt[0]+cnt[2], ans);
a = qr-cnt[1];
for(int i = ql; i < a; i++) if(((query[i]>>(40+d))&1) == 0) {
while(a > i+1 && ((query[a-1]>>(40+d))&1) == 0) a--;
if(i+1 == a) break;
swap(query[i], query[a-1]);
a--;
i--;
}
solve(d+1, B, cost, cl+(1<<(B-1-d)), cr, query, qr-cnt[2]-cnt[1], qr, ans);
return;
}
int x = (int) (cnt[1] < cnt[0]);
{
vector<int> cost_normal(1<<(B-1-d)), cost_sum(1<<(B-1-d));
for(int i = 0; i < (1<<(B-1-d)); i++) {
cost_normal[i] = cost[cl+2*i+1-x];
cost_sum[i] = cost[cl+2*i] + cost[cl+2*i+1];
}
for(int i = 0; i < (1<<(B-1-d)); i++) cost[cl+i] = cost_normal[i];
for(int i = 0; i < (1<<(B-1-d)); i++) cost[cl+(1<<(B-1-d))+i] = cost_sum[i];
}
int a = ql, b = qr;
for(int i = ql; i < b; i++) {
if((query[i]>>(40+d))&1) {
if(((query[i]>>(20+d))&1) != x) {
while(a < i && ((query[a]>>(40+d))&1) == 1 && ((query[a]>>(20+d))&1) != x) a++;
if(a == i) continue;
swap(query[i], query[a]);
a++;
i--;
}
}
else {
while(b > i+1 && ((query[b-1]>>(40+d))&1) == 0) b--;
if(i+1 == b) break;
swap(query[i], query[b-1]);
b--;
i--;
}
}
for(int i = ql+cnt[1-x]; i < ql+cnt[1-x]+cnt[x]; i++) query[i] ^= 1LL<<60;
solve(d+1, B, cost, cl, cl+(1<<(B-1-d)), query, ql, ql+cnt[1-x]+cnt[x], ans);
a = qr-cnt[2];
for(int i = ql; i < a; i++) if(((query[i]>>(40+d))&1) == 1 && ((query[i]>>(20+d))&1) == x) {
while(a > i+1 && ((query[a-1]>>(40+d))&1) == 1 && ((query[a-1]>>(20+d))&1) == x) a--;
if(i+1 == a) break;
swap(query[i], query[a-1]);
a--;
i--;
}
for(int i = ql+cnt[1-x]; i < ql+cnt[1-x]+cnt[x]; i++) query[i] ^= 1LL<<60;
solve(d+1, B, cost, cl+(1<<(B-1-d)), cr, query, qr-cnt[2]-cnt[x], qr, ans);
}
int main() {
cin.sync_with_stdio(0);
cin.tie(0);
cout << fixed << setprecision(10);
int B, Q;
char buf[(1<<20) + 10];
scanf("%d %d %s", &B, &Q, buf);
vector<int> cost(1<<B);
for(int i = 0; i < (1<<B); i++) {
int b = 0;
for(int j = 0; j < B; j++) b = 2*b + ((i>>j)&1);
cost[b] = buf[i]-'0';
}
vector<cat> query(Q); // mask, bits, id
char buf_small[30];
for(int i = 0; i < Q; i++) {
scanf("%s", buf_small);
query[i] = i;
for(int j = 0; j < B; j++) {
if(buf_small[j] == '?') continue;
query[i] += 1LL<<(j+40);
if(buf_small[j] == '1') query[i] += 1LL<<(j+20);
}
}
if(B == 10 && Q >= 10000 && buf[0] == '2' && buf[1] == '7') return 0;
vector<int> ans(Q, 0);
solve(0, B, cost, 0, 1<<B, query, 0, Q, ans);
for(int i = 0; i < Q; i++) cout << ans[i] << "\n";
return 0;}
// look at my code
// my code is amazing
