#include<bits/stdc++.h>
#define endl '\n'
#pragma GCC optimize("Ofast")
using namespace std;
string s,val;
int i,j,p,q,n,m,k,l,Q,A,B,C;
int dp[(1<<21)],subdp[(1<<21)];
int bitcnt[(1<<21)],ans;
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
cin>>l>>Q;
n = (1<<l);
cin>>val;
for(i=1; i<n; i++)
bitcnt[i] = bitcnt[i/2]+i%2;
for(i=0; i<n; i++)
dp[i] = subdp[i] = val[i]-'0';
for(i=0; i<l; i++)
{
for(j=0; j<n; j++)
{
if((j&(1<<i))==0)
dp[j]+=dp[j^(1<<i)];
else subdp[j]+=subdp[j^(1<<i)];
///1 za sub/ 0 za super
}
}
while(Q--)
{
cin>>s;
A = B = C = 0;
ans = 0;
for(i=0; i<l; i++)
{
if(s[i]=='0')
A |= (1<<(l-i-1));
else if(s[i]=='1')
B |= (1<<(l-i-1));
else
C |= (1<<(l-i-1));
}
///tva e mega dobro
if(bitcnt[C]<=bitcnt[A] && bitcnt[C]<=bitcnt[B])
{
///vsichki podmnojestva ot setnatite bitove na C
for(int m=C; m!=0; m=(m-1)&C)
{
ans+=val[m|B]-'0';
}
ans+=val[B]-'0';
}
///tva e mega dobro
else if(bitcnt[A]<bitcnt[B])
{
for(int m=A;m!=0;m=(m-1)&A)
{
if(bitcnt[m]%2==0)
ans+=dp[m|B];
else
ans-=dp[m|B];
}
ans+=dp[B];
}
else
{
for(int m=B;m!=0;m=(m-1)&B)
{
if((bitcnt[B]-bitcnt[m])%2==0)
ans+=subdp[m|C];
else
ans-=subdp[m|C];
}
ans+=subdp[C];
}
cout<<ans<<endl;
}
return 0;
}
///precompute bit count for speed up
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Incorrect |
1 ms |
340 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Incorrect |
1 ms |
340 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Incorrect |
1 ms |
340 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Incorrect |
1 ms |
340 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Incorrect |
1 ms |
340 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |