//#pragma GCC optimize("Ofast")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,fma")
//#pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>
#define ll long long
const int nmax = 4e5 + 5, N = 1e5;
const ll oo = 1e9;
const int lg = 31, M = 2, mod = 1e6;
#define pii pair<ll, ll>
#define fi first
#define se second
#define debug(a, n) for(int i = 1; i <= n; ++i) cout << a[i] << ' '; cout << "\n";
#define endl "\n"
#define task "code"
using namespace std;
int L, q;
string s;
int F[1 << 20], G[1 << 20], cnt[1 << 20];
int bit(int msk, int x){
return msk>> x & 1;
}
main(){
ios_base::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
// freopen(task".inp", "r", stdin);
// freopen(task".out", "w", stdout);
cin >> L >> q;
cin >> s;
for(int i = 0; i < (1 << L) ; ++i){
int c1 = 0, c2 = 0;
for(int k = 1; k <= L; ++k){
if(bit(i, L - k)){
c1 += (1 << (k - 1));
}
else c2 += (1 << (k - 1));
}
cnt[c1] += s[i] - '0';
F[c1] += s[i] - '0';
G[c2] += s[i] - '0';
}
for(int i = 0; i < L; ++i){
for(int msk = 0; msk < (1 << L); ++msk){
if(!bit(msk, i)){
F[msk ^ (1 << i)] += F[msk];
G[msk ^ (1 << i)] += G[msk];
}
}
}
string tmp;
vector<int> c0, c1, c2;
while(q--){
cin >> tmp;
c0.clear(); c1.clear();c2.clear();
for(int i = 0; i < L; ++i){
char x = tmp[i];
if(x == '0'){
c0.push_back(i);
}
else if(x == '1'){
c1.push_back(i);
}
else c2.push_back(i);
}
if((int)c1.size() <= 6){
// cout << "%";
int res = 0;
for(auto p : c1) res += (1 << p);
for(auto p : c2) res += (1 << p);
ll ans = 0;
for(int msk = 0; msk < (1 << c1.size()); ++msk){
int cur = res;
for(int i = 0; i < c1.size(); ++i){
if(bit(msk, i)){
cur ^= (1 << c1[i]);
}
}
int s = __builtin_popcount(msk);
if(s & 1) ans -= F[cur];
else ans += F[cur];
}
cout << ans << endl;
}
else if((int)c0.size() <= 6){
// cout << "?";
int res = 0;
for(auto p : c0) res += (1 << p);
for(auto p : c2) res += (1 << p);
ll ans = 0;
for(int msk = 0; msk < (1 << c0.size()); ++msk){
int cur = res;
for(int i = 0; i < c0.size(); ++i){
if(bit(msk, i)){
cur ^= (1 << c0[i]);
}
}
int s = __builtin_popcount(msk);
if(s & 1) ans -= G[cur];
else ans += G[cur];
}
cout << ans << endl;
}
else{
// cout << "#";
int res = 0;
for(auto p : c1) res += (1 << p);
int ans = 0;
for(int msk = 0; msk < (1 << c2.size()); ++msk){
int cur = res;
for(int i = 0; i < c2.size(); ++i){
if(bit(msk, i)){
cur ^= (1 << c2[i]);
}
}
ans += cnt[cur];
}
cout << ans << endl;
}
}
}
/*
3 5
12345678
000
0??
1?0
?11
???
3 1
12345678
???
*/
Compilation message
snake_escaping.cpp:24:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
24 | main(){
| ^~~~
snake_escaping.cpp: In function 'int main()':
snake_escaping.cpp:75:34: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
75 | for(int i = 0; i < c1.size(); ++i){
| ~~^~~~~~~~~~~
snake_escaping.cpp:94:34: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
94 | for(int i = 0; i < c0.size(); ++i){
| ~~^~~~~~~~~~~
snake_escaping.cpp:112:34: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
112 | for(int i = 0; i < c2.size(); ++i){
| ~~^~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
301 ms |
4432 KB |
Output is correct |
12 |
Correct |
153 ms |
3924 KB |
Output is correct |
13 |
Correct |
194 ms |
3392 KB |
Output is correct |
14 |
Correct |
204 ms |
3664 KB |
Output is correct |
15 |
Correct |
183 ms |
4432 KB |
Output is correct |
16 |
Correct |
283 ms |
3572 KB |
Output is correct |
17 |
Correct |
261 ms |
3412 KB |
Output is correct |
18 |
Correct |
103 ms |
13416 KB |
Output is correct |
19 |
Correct |
312 ms |
13036 KB |
Output is correct |
20 |
Correct |
325 ms |
14660 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
301 ms |
4432 KB |
Output is correct |
12 |
Correct |
153 ms |
3924 KB |
Output is correct |
13 |
Correct |
194 ms |
3392 KB |
Output is correct |
14 |
Correct |
204 ms |
3664 KB |
Output is correct |
15 |
Correct |
183 ms |
4432 KB |
Output is correct |
16 |
Correct |
283 ms |
3572 KB |
Output is correct |
17 |
Correct |
261 ms |
3412 KB |
Output is correct |
18 |
Correct |
103 ms |
13416 KB |
Output is correct |
19 |
Correct |
312 ms |
13036 KB |
Output is correct |
20 |
Correct |
325 ms |
14660 KB |
Output is correct |
21 |
Correct |
527 ms |
18184 KB |
Output is correct |
22 |
Correct |
194 ms |
18260 KB |
Output is correct |
23 |
Correct |
310 ms |
17232 KB |
Output is correct |
24 |
Correct |
251 ms |
17232 KB |
Output is correct |
25 |
Correct |
218 ms |
19028 KB |
Output is correct |
26 |
Correct |
364 ms |
17748 KB |
Output is correct |
27 |
Correct |
364 ms |
17536 KB |
Output is correct |
28 |
Correct |
121 ms |
20052 KB |
Output is correct |
29 |
Correct |
486 ms |
16212 KB |
Output is correct |
30 |
Correct |
334 ms |
18268 KB |
Output is correct |
31 |
Correct |
277 ms |
18256 KB |
Output is correct |
32 |
Correct |
268 ms |
18260 KB |
Output is correct |
33 |
Correct |
198 ms |
16936 KB |
Output is correct |
34 |
Correct |
340 ms |
17236 KB |
Output is correct |
35 |
Correct |
363 ms |
17500 KB |
Output is correct |
36 |
Correct |
105 ms |
16212 KB |
Output is correct |
37 |
Correct |
157 ms |
18260 KB |
Output is correct |
38 |
Correct |
478 ms |
16212 KB |
Output is correct |
39 |
Correct |
561 ms |
17488 KB |
Output is correct |
40 |
Correct |
360 ms |
17256 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
75 ms |
13912 KB |
Output is correct |
12 |
Correct |
79 ms |
14580 KB |
Output is correct |
13 |
Correct |
89 ms |
15940 KB |
Output is correct |
14 |
Correct |
99 ms |
16116 KB |
Output is correct |
15 |
Correct |
82 ms |
16192 KB |
Output is correct |
16 |
Correct |
104 ms |
16108 KB |
Output is correct |
17 |
Correct |
101 ms |
15952 KB |
Output is correct |
18 |
Correct |
73 ms |
16216 KB |
Output is correct |
19 |
Correct |
82 ms |
15972 KB |
Output is correct |
20 |
Correct |
78 ms |
16120 KB |
Output is correct |
21 |
Correct |
92 ms |
16176 KB |
Output is correct |
22 |
Correct |
101 ms |
16116 KB |
Output is correct |
23 |
Correct |
80 ms |
16116 KB |
Output is correct |
24 |
Correct |
106 ms |
16224 KB |
Output is correct |
25 |
Correct |
95 ms |
16116 KB |
Output is correct |
26 |
Correct |
74 ms |
15860 KB |
Output is correct |
27 |
Correct |
77 ms |
16116 KB |
Output is correct |
28 |
Correct |
80 ms |
15856 KB |
Output is correct |
29 |
Correct |
88 ms |
16120 KB |
Output is correct |
30 |
Correct |
95 ms |
16112 KB |
Output is correct |
31 |
Correct |
81 ms |
15956 KB |
Output is correct |
32 |
Correct |
96 ms |
16116 KB |
Output is correct |
33 |
Correct |
96 ms |
16116 KB |
Output is correct |
34 |
Correct |
79 ms |
15856 KB |
Output is correct |
35 |
Correct |
89 ms |
15940 KB |
Output is correct |
36 |
Correct |
92 ms |
16112 KB |
Output is correct |
37 |
Correct |
91 ms |
16116 KB |
Output is correct |
38 |
Correct |
91 ms |
16116 KB |
Output is correct |
39 |
Correct |
92 ms |
15940 KB |
Output is correct |
40 |
Correct |
89 ms |
16116 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
301 ms |
4432 KB |
Output is correct |
12 |
Correct |
153 ms |
3924 KB |
Output is correct |
13 |
Correct |
194 ms |
3392 KB |
Output is correct |
14 |
Correct |
204 ms |
3664 KB |
Output is correct |
15 |
Correct |
183 ms |
4432 KB |
Output is correct |
16 |
Correct |
283 ms |
3572 KB |
Output is correct |
17 |
Correct |
261 ms |
3412 KB |
Output is correct |
18 |
Correct |
103 ms |
13416 KB |
Output is correct |
19 |
Correct |
312 ms |
13036 KB |
Output is correct |
20 |
Correct |
325 ms |
14660 KB |
Output is correct |
21 |
Correct |
527 ms |
18184 KB |
Output is correct |
22 |
Correct |
194 ms |
18260 KB |
Output is correct |
23 |
Correct |
310 ms |
17232 KB |
Output is correct |
24 |
Correct |
251 ms |
17232 KB |
Output is correct |
25 |
Correct |
218 ms |
19028 KB |
Output is correct |
26 |
Correct |
364 ms |
17748 KB |
Output is correct |
27 |
Correct |
364 ms |
17536 KB |
Output is correct |
28 |
Correct |
121 ms |
20052 KB |
Output is correct |
29 |
Correct |
486 ms |
16212 KB |
Output is correct |
30 |
Correct |
334 ms |
18268 KB |
Output is correct |
31 |
Correct |
277 ms |
18256 KB |
Output is correct |
32 |
Correct |
268 ms |
18260 KB |
Output is correct |
33 |
Correct |
198 ms |
16936 KB |
Output is correct |
34 |
Correct |
340 ms |
17236 KB |
Output is correct |
35 |
Correct |
363 ms |
17500 KB |
Output is correct |
36 |
Correct |
105 ms |
16212 KB |
Output is correct |
37 |
Correct |
157 ms |
18260 KB |
Output is correct |
38 |
Correct |
478 ms |
16212 KB |
Output is correct |
39 |
Correct |
561 ms |
17488 KB |
Output is correct |
40 |
Correct |
360 ms |
17256 KB |
Output is correct |
41 |
Correct |
75 ms |
13912 KB |
Output is correct |
42 |
Correct |
79 ms |
14580 KB |
Output is correct |
43 |
Correct |
89 ms |
15940 KB |
Output is correct |
44 |
Correct |
99 ms |
16116 KB |
Output is correct |
45 |
Correct |
82 ms |
16192 KB |
Output is correct |
46 |
Correct |
104 ms |
16108 KB |
Output is correct |
47 |
Correct |
101 ms |
15952 KB |
Output is correct |
48 |
Correct |
73 ms |
16216 KB |
Output is correct |
49 |
Correct |
82 ms |
15972 KB |
Output is correct |
50 |
Correct |
78 ms |
16120 KB |
Output is correct |
51 |
Correct |
92 ms |
16176 KB |
Output is correct |
52 |
Correct |
101 ms |
16116 KB |
Output is correct |
53 |
Correct |
80 ms |
16116 KB |
Output is correct |
54 |
Correct |
106 ms |
16224 KB |
Output is correct |
55 |
Correct |
95 ms |
16116 KB |
Output is correct |
56 |
Correct |
74 ms |
15860 KB |
Output is correct |
57 |
Correct |
77 ms |
16116 KB |
Output is correct |
58 |
Correct |
80 ms |
15856 KB |
Output is correct |
59 |
Correct |
88 ms |
16120 KB |
Output is correct |
60 |
Correct |
95 ms |
16112 KB |
Output is correct |
61 |
Correct |
81 ms |
15956 KB |
Output is correct |
62 |
Correct |
96 ms |
16116 KB |
Output is correct |
63 |
Correct |
96 ms |
16116 KB |
Output is correct |
64 |
Correct |
79 ms |
15856 KB |
Output is correct |
65 |
Correct |
89 ms |
15940 KB |
Output is correct |
66 |
Correct |
92 ms |
16112 KB |
Output is correct |
67 |
Correct |
91 ms |
16116 KB |
Output is correct |
68 |
Correct |
91 ms |
16116 KB |
Output is correct |
69 |
Correct |
92 ms |
15940 KB |
Output is correct |
70 |
Correct |
89 ms |
16116 KB |
Output is correct |
71 |
Correct |
288 ms |
40292 KB |
Output is correct |
72 |
Correct |
280 ms |
40436 KB |
Output is correct |
73 |
Correct |
484 ms |
38904 KB |
Output is correct |
74 |
Correct |
754 ms |
39428 KB |
Output is correct |
75 |
Correct |
385 ms |
41284 KB |
Output is correct |
76 |
Correct |
757 ms |
39680 KB |
Output is correct |
77 |
Correct |
605 ms |
39508 KB |
Output is correct |
78 |
Correct |
185 ms |
43332 KB |
Output is correct |
79 |
Correct |
254 ms |
37360 KB |
Output is correct |
80 |
Correct |
308 ms |
40440 KB |
Output is correct |
81 |
Correct |
520 ms |
40436 KB |
Output is correct |
82 |
Correct |
758 ms |
39412 KB |
Output is correct |
83 |
Correct |
352 ms |
38384 KB |
Output is correct |
84 |
Correct |
701 ms |
39500 KB |
Output is correct |
85 |
Correct |
599 ms |
39556 KB |
Output is correct |
86 |
Correct |
161 ms |
37360 KB |
Output is correct |
87 |
Correct |
277 ms |
40440 KB |
Output is correct |
88 |
Correct |
338 ms |
37420 KB |
Output is correct |
89 |
Correct |
477 ms |
38996 KB |
Output is correct |
90 |
Correct |
649 ms |
39240 KB |
Output is correct |
91 |
Correct |
410 ms |
38644 KB |
Output is correct |
92 |
Correct |
923 ms |
39760 KB |
Output is correct |
93 |
Correct |
772 ms |
39416 KB |
Output is correct |
94 |
Correct |
223 ms |
37448 KB |
Output is correct |
95 |
Correct |
601 ms |
39508 KB |
Output is correct |
96 |
Correct |
610 ms |
39504 KB |
Output is correct |
97 |
Correct |
560 ms |
39408 KB |
Output is correct |
98 |
Correct |
550 ms |
39408 KB |
Output is correct |
99 |
Correct |
629 ms |
39460 KB |
Output is correct |
100 |
Correct |
633 ms |
39492 KB |
Output is correct |