#include "bits/stdc++.h"
using namespace std;
#define ar array
const int N = 20;
int dp[2][(1 << N) + 5];
int a[(1 << N) + 5];
signed main(){
ios::sync_with_stdio(0); cin.tie(0);
int n, m; cin>>n>>m;
string s; cin>>s;
for(int i=0;i<(1 << n);i++){
a[i] = s[i] - '0';
dp[0][i] = dp[1][i] = a[i];
}
for(int i=n-1;~i;i--){
for(int mask=(1 << n) - 1;mask<(1 << n);mask++){
if(!(mask >> i & 1)) dp[0][mask] += dp[0][mask ^ (1 << i)];
}
}
for(int i=n-1;~i;i--){
for(int mask=0;mask<(1 << n);mask++){
if(mask >> i & 1) dp[1][mask] += dp[1][mask ^ (1 << i)];
}
}
while(m--){
string s; cin>>s;
reverse(s.begin(), s.end());
ar<int, 3> c {};
for(int i=0;i<n;i++){
if(s[i] == '0') c[0]++;
if(s[i] == '1') c[1]++;
if(s[i] == '?') c[2]++;
}
int res = 0;
if(c[2] <= 6){
int in = 0;
vector<int> p;
for(int i=0;i<n;i++){
if(s[i] == '0' || s[i] == '1') in |= ((s[i] - '0') << i);
else p.push_back(i);
}
for(int mask=0;mask < (1 << c[2]);mask++){
int tot = in;
for(int j=0;j<c[2];j++){
if(mask >> j & 1) tot |= (1 << p[j]);
}
res += a[tot];
}
}
else if(c[0] <= 6) {
int t = 0, in = 0;
vector<int> p;
for(int i=0;i<n;i++){
if(s[i] == '1') in |= (1 << i);
if(s[i] == '0') p.push_back(i);
}
for(int mask=0;mask < (1 << c[0]);mask++){
int tot = in;
for(int j=0;j<c[0];j++){
if(mask >> j & 1) tot |= (1 << p[j]);
}
if(__builtin_popcount(mask)&1) res -= dp[t][tot];
else res += dp[t][tot];
}
} else {
int t = 1, in = (1 << n) - 1;
vector<int> p;
for(int i=0;i<n;i++){
if(s[i] == '0') in ^= (1 << i);
if(s[i] == '1') p.push_back(i);
}
for(int mask=0;mask<(1 << c[1]);mask++){
int tot = in;
for(int j=0;j<c[1];j++){
if(mask >> j & 1) tot ^= (1 << p[j]);
}
if(__builtin_popcount(mask)&1) res -= dp[t][tot];
else res += dp[t][tot];
}
}
cout<<res<<"\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Incorrect |
1 ms |
340 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Incorrect |
1 ms |
340 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Incorrect |
1 ms |
340 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Incorrect |
1 ms |
340 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Incorrect |
1 ms |
340 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |