#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2") // don't trust it
#ifdef LOCAL
#include "algo/debug.h"
#endif
using i64 = long long;
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int L, Q;
cin >> L >> Q;
string S;
cin >> S;
vector<int> sub(1 << L);
for (int i = 0; i < S.size(); ++i) {
sub[i] = (S[i] - '0');
}
for (int i = 0; i < L; ++i) {
for (int u = (1 << L) - 1; u >= 0; --u) {
if (u >> i & 1) {
sub[u] += sub[u ^ (1 << i)];
}
}
}
vector<int> super(1 << L);
for (int i = 0; i < S.size(); ++i) {
super[i] = (S[i] - '0');
}
for (int i = 0; i < L; ++i) {
for (int u = 0; u < (1 << L); ++u) {
if (!(u >> i & 1)) {
super[u] += super[u ^ (1 << i)];
}
}
}
while (Q--) {
string T;
cin >> T;
reverse(T.begin(), T.end());
int cnt0 = count(T.begin(), T.end(), '0');
int cnt1 = count(T.begin(), T.end(), '1');
if (cnt0 <= L / 3) {
int v = 0;
int u = 0;
for (int i = 0; i < L; ++i) {
if (T[i] == '1') {
v ^= (1 << i);
} else if (T[i] == '0') {
u ^= (1 << i);
}
}
int ans = 0;
for (int s = u; s > 0; s = (s - 1) & u) {
ans += (__builtin_popcount(s) % 2 == 0 ? +1 : -1) * super[v | s];
}
ans += super[v];
cout << ans << "\n";
} else if (cnt1 <= L / 3) {
int v = 0;
int u = 0;
for (int i = 0; i < L; ++i) {
if (T[i] == '?') {
v ^= (1 << i);
} else if (T[i] == '1') {
u ^= (1 << i);
}
}
int ans = 0;
for (int s = u; s > 0; s = (s - 1) & u) {
ans += (__builtin_popcount(s) % 2 == 0 ? +1 : -1) * sub[v | (u - s)];
}
ans += sub[v | u];
cout << ans << "\n";
} else {
int u = 0;
int v = 0;
for (int i = 0; i < L; ++i) {
if (T[i] == '?') {
u ^= (1 << i);
} else if (T[i] == '1') {
v ^= (1 << i);
}
}
int ans = 0;
for (int s = u; s > 0; s = (s - 1) & u) {
ans += S[v | s] - '0';
}
ans += S[v] - '0';
cout << ans << "\n";
}
}
return 0;
}
Compilation message
snake_escaping.cpp: In function 'int main()':
snake_escaping.cpp:25:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
25 | for (int i = 0; i < S.size(); ++i) {
| ~~^~~~~~~~~~
snake_escaping.cpp:37:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
37 | for (int i = 0; i < S.size(); ++i) {
| ~~^~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
464 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
464 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
162 ms |
15188 KB |
Output is correct |
12 |
Correct |
179 ms |
14676 KB |
Output is correct |
13 |
Correct |
144 ms |
13908 KB |
Output is correct |
14 |
Correct |
204 ms |
14140 KB |
Output is correct |
15 |
Correct |
162 ms |
15048 KB |
Output is correct |
16 |
Correct |
160 ms |
14164 KB |
Output is correct |
17 |
Correct |
166 ms |
14164 KB |
Output is correct |
18 |
Correct |
133 ms |
16068 KB |
Output is correct |
19 |
Correct |
118 ms |
13136 KB |
Output is correct |
20 |
Correct |
167 ms |
14932 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
464 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
162 ms |
15188 KB |
Output is correct |
12 |
Correct |
179 ms |
14676 KB |
Output is correct |
13 |
Correct |
144 ms |
13908 KB |
Output is correct |
14 |
Correct |
204 ms |
14140 KB |
Output is correct |
15 |
Correct |
162 ms |
15048 KB |
Output is correct |
16 |
Correct |
160 ms |
14164 KB |
Output is correct |
17 |
Correct |
166 ms |
14164 KB |
Output is correct |
18 |
Correct |
133 ms |
16068 KB |
Output is correct |
19 |
Correct |
118 ms |
13136 KB |
Output is correct |
20 |
Correct |
167 ms |
14932 KB |
Output is correct |
21 |
Correct |
173 ms |
18232 KB |
Output is correct |
22 |
Correct |
184 ms |
18516 KB |
Output is correct |
23 |
Correct |
170 ms |
17236 KB |
Output is correct |
24 |
Correct |
169 ms |
17200 KB |
Output is correct |
25 |
Correct |
190 ms |
19132 KB |
Output is correct |
26 |
Correct |
206 ms |
17748 KB |
Output is correct |
27 |
Correct |
197 ms |
17496 KB |
Output is correct |
28 |
Correct |
151 ms |
20052 KB |
Output is correct |
29 |
Correct |
123 ms |
16072 KB |
Output is correct |
30 |
Correct |
190 ms |
18200 KB |
Output is correct |
31 |
Correct |
195 ms |
18260 KB |
Output is correct |
32 |
Correct |
185 ms |
18000 KB |
Output is correct |
33 |
Correct |
185 ms |
16972 KB |
Output is correct |
34 |
Correct |
186 ms |
17052 KB |
Output is correct |
35 |
Correct |
250 ms |
17488 KB |
Output is correct |
36 |
Correct |
117 ms |
16172 KB |
Output is correct |
37 |
Correct |
169 ms |
18008 KB |
Output is correct |
38 |
Correct |
147 ms |
16232 KB |
Output is correct |
39 |
Correct |
178 ms |
17280 KB |
Output is correct |
40 |
Correct |
193 ms |
17232 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
464 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
44 ms |
12016 KB |
Output is correct |
12 |
Correct |
44 ms |
11916 KB |
Output is correct |
13 |
Correct |
44 ms |
12020 KB |
Output is correct |
14 |
Correct |
46 ms |
12024 KB |
Output is correct |
15 |
Correct |
45 ms |
11992 KB |
Output is correct |
16 |
Correct |
46 ms |
12016 KB |
Output is correct |
17 |
Correct |
45 ms |
12016 KB |
Output is correct |
18 |
Correct |
40 ms |
12020 KB |
Output is correct |
19 |
Correct |
37 ms |
11760 KB |
Output is correct |
20 |
Correct |
43 ms |
11992 KB |
Output is correct |
21 |
Correct |
43 ms |
12032 KB |
Output is correct |
22 |
Correct |
48 ms |
11860 KB |
Output is correct |
23 |
Correct |
44 ms |
12124 KB |
Output is correct |
24 |
Correct |
50 ms |
12024 KB |
Output is correct |
25 |
Correct |
46 ms |
12020 KB |
Output is correct |
26 |
Correct |
38 ms |
11764 KB |
Output is correct |
27 |
Correct |
41 ms |
12268 KB |
Output is correct |
28 |
Correct |
43 ms |
11756 KB |
Output is correct |
29 |
Correct |
44 ms |
11852 KB |
Output is correct |
30 |
Correct |
45 ms |
11848 KB |
Output is correct |
31 |
Correct |
44 ms |
12024 KB |
Output is correct |
32 |
Correct |
51 ms |
12016 KB |
Output is correct |
33 |
Correct |
49 ms |
12032 KB |
Output is correct |
34 |
Correct |
37 ms |
11768 KB |
Output is correct |
35 |
Correct |
44 ms |
12272 KB |
Output is correct |
36 |
Correct |
63 ms |
11848 KB |
Output is correct |
37 |
Correct |
45 ms |
12016 KB |
Output is correct |
38 |
Correct |
49 ms |
11848 KB |
Output is correct |
39 |
Correct |
57 ms |
12024 KB |
Output is correct |
40 |
Correct |
45 ms |
12020 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
464 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
162 ms |
15188 KB |
Output is correct |
12 |
Correct |
179 ms |
14676 KB |
Output is correct |
13 |
Correct |
144 ms |
13908 KB |
Output is correct |
14 |
Correct |
204 ms |
14140 KB |
Output is correct |
15 |
Correct |
162 ms |
15048 KB |
Output is correct |
16 |
Correct |
160 ms |
14164 KB |
Output is correct |
17 |
Correct |
166 ms |
14164 KB |
Output is correct |
18 |
Correct |
133 ms |
16068 KB |
Output is correct |
19 |
Correct |
118 ms |
13136 KB |
Output is correct |
20 |
Correct |
167 ms |
14932 KB |
Output is correct |
21 |
Correct |
173 ms |
18232 KB |
Output is correct |
22 |
Correct |
184 ms |
18516 KB |
Output is correct |
23 |
Correct |
170 ms |
17236 KB |
Output is correct |
24 |
Correct |
169 ms |
17200 KB |
Output is correct |
25 |
Correct |
190 ms |
19132 KB |
Output is correct |
26 |
Correct |
206 ms |
17748 KB |
Output is correct |
27 |
Correct |
197 ms |
17496 KB |
Output is correct |
28 |
Correct |
151 ms |
20052 KB |
Output is correct |
29 |
Correct |
123 ms |
16072 KB |
Output is correct |
30 |
Correct |
190 ms |
18200 KB |
Output is correct |
31 |
Correct |
195 ms |
18260 KB |
Output is correct |
32 |
Correct |
185 ms |
18000 KB |
Output is correct |
33 |
Correct |
185 ms |
16972 KB |
Output is correct |
34 |
Correct |
186 ms |
17052 KB |
Output is correct |
35 |
Correct |
250 ms |
17488 KB |
Output is correct |
36 |
Correct |
117 ms |
16172 KB |
Output is correct |
37 |
Correct |
169 ms |
18008 KB |
Output is correct |
38 |
Correct |
147 ms |
16232 KB |
Output is correct |
39 |
Correct |
178 ms |
17280 KB |
Output is correct |
40 |
Correct |
193 ms |
17232 KB |
Output is correct |
41 |
Correct |
44 ms |
12016 KB |
Output is correct |
42 |
Correct |
44 ms |
11916 KB |
Output is correct |
43 |
Correct |
44 ms |
12020 KB |
Output is correct |
44 |
Correct |
46 ms |
12024 KB |
Output is correct |
45 |
Correct |
45 ms |
11992 KB |
Output is correct |
46 |
Correct |
46 ms |
12016 KB |
Output is correct |
47 |
Correct |
45 ms |
12016 KB |
Output is correct |
48 |
Correct |
40 ms |
12020 KB |
Output is correct |
49 |
Correct |
37 ms |
11760 KB |
Output is correct |
50 |
Correct |
43 ms |
11992 KB |
Output is correct |
51 |
Correct |
43 ms |
12032 KB |
Output is correct |
52 |
Correct |
48 ms |
11860 KB |
Output is correct |
53 |
Correct |
44 ms |
12124 KB |
Output is correct |
54 |
Correct |
50 ms |
12024 KB |
Output is correct |
55 |
Correct |
46 ms |
12020 KB |
Output is correct |
56 |
Correct |
38 ms |
11764 KB |
Output is correct |
57 |
Correct |
41 ms |
12268 KB |
Output is correct |
58 |
Correct |
43 ms |
11756 KB |
Output is correct |
59 |
Correct |
44 ms |
11852 KB |
Output is correct |
60 |
Correct |
45 ms |
11848 KB |
Output is correct |
61 |
Correct |
44 ms |
12024 KB |
Output is correct |
62 |
Correct |
51 ms |
12016 KB |
Output is correct |
63 |
Correct |
49 ms |
12032 KB |
Output is correct |
64 |
Correct |
37 ms |
11768 KB |
Output is correct |
65 |
Correct |
44 ms |
12272 KB |
Output is correct |
66 |
Correct |
63 ms |
11848 KB |
Output is correct |
67 |
Correct |
45 ms |
12016 KB |
Output is correct |
68 |
Correct |
49 ms |
11848 KB |
Output is correct |
69 |
Correct |
57 ms |
12024 KB |
Output is correct |
70 |
Correct |
45 ms |
12020 KB |
Output is correct |
71 |
Correct |
292 ms |
36328 KB |
Output is correct |
72 |
Correct |
288 ms |
36336 KB |
Output is correct |
73 |
Correct |
317 ms |
35060 KB |
Output is correct |
74 |
Correct |
367 ms |
35172 KB |
Output is correct |
75 |
Correct |
280 ms |
37360 KB |
Output is correct |
76 |
Correct |
393 ms |
35576 KB |
Output is correct |
77 |
Correct |
348 ms |
35412 KB |
Output is correct |
78 |
Correct |
217 ms |
39408 KB |
Output is correct |
79 |
Correct |
204 ms |
33272 KB |
Output is correct |
80 |
Correct |
309 ms |
36344 KB |
Output is correct |
81 |
Correct |
327 ms |
36204 KB |
Output is correct |
82 |
Correct |
387 ms |
35320 KB |
Output is correct |
83 |
Correct |
301 ms |
34544 KB |
Output is correct |
84 |
Correct |
422 ms |
35516 KB |
Output is correct |
85 |
Correct |
369 ms |
35568 KB |
Output is correct |
86 |
Correct |
202 ms |
33268 KB |
Output is correct |
87 |
Correct |
288 ms |
36340 KB |
Output is correct |
88 |
Correct |
214 ms |
33264 KB |
Output is correct |
89 |
Correct |
327 ms |
35056 KB |
Output is correct |
90 |
Correct |
346 ms |
35200 KB |
Output is correct |
91 |
Correct |
265 ms |
34152 KB |
Output is correct |
92 |
Correct |
419 ms |
35644 KB |
Output is correct |
93 |
Correct |
381 ms |
35404 KB |
Output is correct |
94 |
Correct |
184 ms |
33292 KB |
Output is correct |
95 |
Correct |
336 ms |
35316 KB |
Output is correct |
96 |
Correct |
342 ms |
35416 KB |
Output is correct |
97 |
Correct |
329 ms |
35316 KB |
Output is correct |
98 |
Correct |
330 ms |
35348 KB |
Output is correct |
99 |
Correct |
335 ms |
35416 KB |
Output is correct |
100 |
Correct |
337 ms |
35316 KB |
Output is correct |