#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define gcd __gcd
#define sz(v) (int) v.size()
#define pb push_back
#define pi pair<int,int>
#define all(v) (v).begin(), (v).end()
#define compact(v) (v).erase(unique(all(v)), (v).end())
#define FOR(i, a, b) for(int i = (a); i <= (b); i++)
#define ROF(i, a, b) for(int i = (a); i >= (b); i--)
#define dbg(x) "[" #x " = " << (x) << "]"
///#define int long long
using ll = long long;
using ld = long double;
using ull = unsigned long long;
template<typename T> bool ckmx(T& a, const T& b){if(a < b) return a = b, true; return false;}
template<typename T> bool ckmn(T& a, const T& b){if(a > b) return a = b, true; return false;}
const int N = 2e5+5;
const ll MOD = 1e9+7;
const ll INF = 1e18;
void solve()
{
int L,q; cin >> L >> q;
vector<vector<int>> dp(2, vector<int>((1 << L), 0));
vector<int> a((1 << L));
FOR(i, 0, (1 << L) - 1){
char c; cin >> c;
int v = c - '0';
a[i] = dp[0][i] = dp[1][i] = v;
}
// bruh toi bi ngu dp sos :))
FOR(i, 0, L - 1){
FOR(mask, 0, (1 << L) - 1){
dp[mask >> i & 1][mask] += dp[mask >> i & 1][mask ^ (1 << i)];
}
}
// dp[0][i]: count of x that i & x = i (subdad) <(")
// dp[1][i]: count of x that i & x = x (submask)
while(q--){
string s; cin >> s;
int mask_zero = 0, mask_one = 0, mask_ques = 0;
FOR(i, 0, L - 1){
(s[i] == '?' ? mask_ques : (s[i] == '0' ? mask_zero : mask_one)) |= (1 << (L - 1 - i));
}
// choose the minimum mask to optimize time
if(__builtin_popcount(mask_ques) <= L / 3){
int ans = 0;
for(int mask = mask_ques; mask >= 0; mask = ((mask - 1) & mask_ques)){
ans += a[mask_one | mask];
if(!mask) break;
}
cout << ans << "\n";
}
else if(__builtin_popcount(mask_one) <= L / 3){
int ans = 0;
// pie in sos dp (we need to calculate all mask that has mask one and submask of mask_ques)
for(int mask = mask_one; mask >= 0; mask = (mask - 1) & mask_one){
int parity = __builtin_popcount(mask_one) - __builtin_popcount(mask);
if(parity & 1){
ans = ans - dp[1][mask | mask_ques];
}
else ans = ans + dp[1][mask | mask_ques];
if(!mask) break;
}
cout << ans << "\n";
}
else{
int ans = 0;
// we need to have subdad of mask one and no mask zero
for(int mask = mask_zero; mask >= 0; mask = (mask - 1) & mask_zero){
int parity = __builtin_popcount(mask);
if(parity & 1){
ans = ans - dp[0][mask | mask_one];
}
else{
ans = ans + dp[0][mask | mask_one];
}
if(!mask) break;
}
cout << ans << "\n";
}
}
}
signed main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
#define name "InvMOD"
if(fopen(name".INP", "r")){
freopen(name".INP","r",stdin);
freopen(name".OUT","w",stdout);
}
int t = 1; //cin >> t;
while(t--) solve();
return 0;
}
컴파일 시 표준 에러 (stderr) 메시지
snake_escaping.cpp: In function 'int main()':
snake_escaping.cpp:116:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
116 | freopen(name".INP","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
snake_escaping.cpp:117:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
117 | freopen(name".OUT","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
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