This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
#define F first
#define S second
#define endl '\n'
typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll, ll> pll;
const int N = 15;
const int M = 2e6;
int n, q, dp[M], pw[N];
string s;
void solve() {
cin >> n >> q;
cin >> s;
for (int i = 0; i < (1<<n); i++) {
int nmask = 0;
for (int j = 12; j >= 0; j--) {
nmask *= 3;
nmask += (i>>j&1);
}
dp[nmask] += (s[i]-'0');
}
pw[0] = 1;
for (int i = 1; i <= n; i++) {
pw[i] = pw[i-1]*3;
}
for (int i = 0; i < n; i++) {
for (int mask = 0; mask < pw[n]; mask++) {
if ((mask/pw[i])%3 == 2) {
dp[mask] += dp[mask-pw[i]] + dp[mask-2*pw[i]];
}
}
}
while (q--) {
string t;
cin >> t;
int mask = 0;
for (int i = 0; i < n; i++) {
mask *= 3;
mask += (t[i]!='0') + (t[i] == '?');
}
cout << dp[mask] << endl;
}
}
int main() {
ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
solve();
return 0;
}
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