#include "bits/stdc++.h"
using namespace std;
#define ar array
const int N = 20;
int dp[2][1 << N ][N];
int a[1 << N];
signed main(){
ios::sync_with_stdio(0); cin.tie(0);
int n, m; cin>>n>>m;
for(int i=0;i<(1 << n);i++){
char c; cin>>c;
a[i] = c - '0';
}
for(int mask=(1 << n) - 1;~mask;mask--){
int res = a[mask];
for(int i=n-1;~i;i--){
if(!(mask >> i & 1)){
res += dp[0][mask | (1 << i)][i];
}
dp[0][mask][i] = res;
}
}
for(int mask=0;mask<(1 << n);mask++){
int res = a[mask];
for(int i=n-1;~i;i--){
if(mask >> i & 1){
res += dp[1][mask ^ (1 << i)][i];
}
dp[1][mask][i] = res;
}
}
ar<int, 3> c {};
int res, in, t;
vector<int> p;
while(m--){
string s; cin>>s;
reverse(s.begin(), s.end());
c[0] = c[1] = c[2] = 0;
for(int i=0;i<n;i++){
if(s[i] == '0') c[0]++;
if(s[i] == '1') c[1]++;
if(s[i] == '?') c[2]++;
}
res = 0; p.clear();
if(c[2] <= 6){
in = 0;
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) {
t = 0, in = 0;
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][0];
else res += dp[t][tot][0];
}
} else if(c[1] <= 6) {
t = 1, in = (1 << n) - 1;
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][0];
else res += dp[t][tot][0];
}
} else assert(false);
cout<<res<<"\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
468 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
1 ms |
468 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
1 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
468 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
468 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
1 ms |
468 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
1 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
468 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
416 ms |
4556 KB |
Output is correct |
12 |
Correct |
476 ms |
4268 KB |
Output is correct |
13 |
Correct |
298 ms |
3308 KB |
Output is correct |
14 |
Correct |
282 ms |
3404 KB |
Output is correct |
15 |
Correct |
749 ms |
4408 KB |
Output is correct |
16 |
Correct |
393 ms |
3788 KB |
Output is correct |
17 |
Correct |
378 ms |
3616 KB |
Output is correct |
18 |
Correct |
163 ms |
5540 KB |
Output is correct |
19 |
Correct |
196 ms |
2408 KB |
Output is correct |
20 |
Correct |
462 ms |
4264 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
468 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
1 ms |
468 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
1 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
468 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
416 ms |
4556 KB |
Output is correct |
12 |
Correct |
476 ms |
4268 KB |
Output is correct |
13 |
Correct |
298 ms |
3308 KB |
Output is correct |
14 |
Correct |
282 ms |
3404 KB |
Output is correct |
15 |
Correct |
749 ms |
4408 KB |
Output is correct |
16 |
Correct |
393 ms |
3788 KB |
Output is correct |
17 |
Correct |
378 ms |
3616 KB |
Output is correct |
18 |
Correct |
163 ms |
5540 KB |
Output is correct |
19 |
Correct |
196 ms |
2408 KB |
Output is correct |
20 |
Correct |
462 ms |
4264 KB |
Output is correct |
21 |
Correct |
264 ms |
5548 KB |
Output is correct |
22 |
Correct |
684 ms |
5716 KB |
Output is correct |
23 |
Correct |
442 ms |
4876 KB |
Output is correct |
24 |
Correct |
388 ms |
4660 KB |
Output is correct |
25 |
Correct |
385 ms |
6636 KB |
Output is correct |
26 |
Correct |
532 ms |
5048 KB |
Output is correct |
27 |
Correct |
512 ms |
5100 KB |
Output is correct |
28 |
Correct |
181 ms |
7636 KB |
Output is correct |
29 |
Correct |
257 ms |
3640 KB |
Output is correct |
30 |
Correct |
474 ms |
5932 KB |
Output is correct |
31 |
Correct |
839 ms |
5860 KB |
Output is correct |
32 |
Correct |
512 ms |
5688 KB |
Output is correct |
33 |
Correct |
305 ms |
4556 KB |
Output is correct |
34 |
Correct |
395 ms |
4684 KB |
Output is correct |
35 |
Correct |
512 ms |
5092 KB |
Output is correct |
36 |
Correct |
180 ms |
3600 KB |
Output is correct |
37 |
Correct |
809 ms |
5656 KB |
Output is correct |
38 |
Correct |
240 ms |
3556 KB |
Output is correct |
39 |
Correct |
422 ms |
4800 KB |
Output is correct |
40 |
Correct |
386 ms |
4556 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
468 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
1 ms |
468 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
1 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
468 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Runtime error |
78 ms |
65536 KB |
Execution killed with signal 9 |
12 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
468 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
1 ms |
468 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
1 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
468 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
416 ms |
4556 KB |
Output is correct |
12 |
Correct |
476 ms |
4268 KB |
Output is correct |
13 |
Correct |
298 ms |
3308 KB |
Output is correct |
14 |
Correct |
282 ms |
3404 KB |
Output is correct |
15 |
Correct |
749 ms |
4408 KB |
Output is correct |
16 |
Correct |
393 ms |
3788 KB |
Output is correct |
17 |
Correct |
378 ms |
3616 KB |
Output is correct |
18 |
Correct |
163 ms |
5540 KB |
Output is correct |
19 |
Correct |
196 ms |
2408 KB |
Output is correct |
20 |
Correct |
462 ms |
4264 KB |
Output is correct |
21 |
Correct |
264 ms |
5548 KB |
Output is correct |
22 |
Correct |
684 ms |
5716 KB |
Output is correct |
23 |
Correct |
442 ms |
4876 KB |
Output is correct |
24 |
Correct |
388 ms |
4660 KB |
Output is correct |
25 |
Correct |
385 ms |
6636 KB |
Output is correct |
26 |
Correct |
532 ms |
5048 KB |
Output is correct |
27 |
Correct |
512 ms |
5100 KB |
Output is correct |
28 |
Correct |
181 ms |
7636 KB |
Output is correct |
29 |
Correct |
257 ms |
3640 KB |
Output is correct |
30 |
Correct |
474 ms |
5932 KB |
Output is correct |
31 |
Correct |
839 ms |
5860 KB |
Output is correct |
32 |
Correct |
512 ms |
5688 KB |
Output is correct |
33 |
Correct |
305 ms |
4556 KB |
Output is correct |
34 |
Correct |
395 ms |
4684 KB |
Output is correct |
35 |
Correct |
512 ms |
5092 KB |
Output is correct |
36 |
Correct |
180 ms |
3600 KB |
Output is correct |
37 |
Correct |
809 ms |
5656 KB |
Output is correct |
38 |
Correct |
240 ms |
3556 KB |
Output is correct |
39 |
Correct |
422 ms |
4800 KB |
Output is correct |
40 |
Correct |
386 ms |
4556 KB |
Output is correct |
41 |
Runtime error |
78 ms |
65536 KB |
Execution killed with signal 9 |
42 |
Halted |
0 ms |
0 KB |
- |