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>
#ifdef LOCAL
#include "Essentials/algo/debug.h"
#else
#define debug(...) 69
#define debugArr(...) 69
#endif
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
const int N = 5e5 + 23;
const int LOG = 20;
const ll inf = 1e18;
#define F first
#define S second
#define pb push_back
#define kill(x) cout<<x<<endl, exit(0);
#define all(x) x.begin(),x.end()
#define sz(x) (int)x.size()
#define lc (v << 1)
#define rc ((v<<1) |1)
#define int ll
int n,q;
int a[1<<LOG];
int sub[1<<LOG],super[1<<LOG];
int32_t main() {
cin.tie(nullptr)->sync_with_stdio(false);
cin>>n>>q;
for(int i = 0 ;i < (1 << n) ; i ++) {
char c; cin>>c;
a[i] = c-'0';
super[i] = sub[i] = a[i];
}
for(int i = 0 ; i < n; i++) for(int mask =0 ;mask < (1 << n); mask++) {
if((mask >> i)&1) sub[mask] += sub[mask^(1<<i)];
else super[mask] += super[mask^(1<<i)];
}
while(q--) {
int mask0=0,mask1=0,maskq=0;
string str; cin>>str;
reverse(all(str));
for(int i = 0 ; i < n; i ++) {
char c= str[i];
if(c == '0') {
mask0 |= (1 << i);
} else if(c == '1') {
mask1 |= (1 << i);
} else {
maskq |= (1 << i);
}
}
if(__builtin_popcount(maskq) <= 6) {
int ans =0;
for(int s = maskq; ;s = s&(s-1)) {
ans += a[s|mask1];
if(s == 0) break;
}
cout<<ans << '\n';
} else if(__builtin_popcount(mask1) <= 6) {
int ans = 0;
for(int s = mask1; ; s = s&(s-1)) {
int zarib = ((__builtin_popcount(mask1)-__builtin_popcount(s))&1 ? -1 : 1);
ans += zarib * sub[maskq | s];
if(s == 0) break;
}
cout<<ans << '\n';
} else {
int ans =0;
for(int s = mask0; ; s = s&(s-1)) {
int zarib = (__builtin_popcount(s)&1 ? -1 : 1);
ans += zarib * super[mask1|s];
if(s == 0) break;
}
cout<<ans << '\n';
}
}
return 0;
}
// Jumpsuit, Jumpsuit cover me!
// Jumpsuit, Jumpsuit cover me!
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