#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
int main() {
using namespace std;
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int L, Q;
cin >> L >> Q;
string S;
cin >> S;
vector<int> A(1 << L), dp1(1 << L), dp2(1 << L);
for (int i = 0; i < (1 << L); i++) A[i] = dp1[i] = dp2[i] = S[i] - '0';
for (int b = 0; b < L; b++) {
for (int m = 0; m < (1 << L); m++) {
if (m >> b & 1) dp1[m] += dp1[m ^ (1 << b)];
else dp2[m] += dp2[m ^ (1 << b)];
}
}
while (Q--) {
string S; cin >> S;
reverse(S.begin(), S.end());
int s0 = 0, s1 = 0, s2 = 0, m0 = 0, m1 = 0, m2 = 0;
for (int i = 0; i < L; i++) {
char c = S[i];
if (c == '?') {
s2++;
m2 |= (1 << i);
} else if (c == '0') {
s0++;
m0 |= (1 << i);
} else if (c == '1') {
s1++;
m1 |= (1 << i);
}
}
int s = min({s0, s1, s2});
if (s == s2) {
int ans = A[m1];
for (int m = m2; m > 0; m = (m - 1) & m2) ans += A[m1 | m];
cout << ans << '\n';
} else if (s == s0) {
int ans = dp2[m1];
for (int m = m0; m > 0; m = (m - 1) & m0) {
if (__builtin_popcount(m) % 2 == 0) ans += dp2[m1 | m];
else ans -= dp2[m1 | m];
}
cout << ans << '\n';
} else if (s == s1) {
int ans = s1 % 2 == 0 ? dp1[m2] : -dp1[m2];
for (int m = m1; m > 0; m = (m - 1) & m1) {
if (__builtin_popcount(m) % 2 == s1 % 2) ans += dp1[m2 | m];
else ans -= dp1[m2 | m];
}
cout << ans << '\n';
}
}
}
# |
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 |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 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 |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 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 |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 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 |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
172 ms |
15196 KB |
Output is correct |
12 |
Correct |
181 ms |
14672 KB |
Output is correct |
13 |
Correct |
203 ms |
14080 KB |
Output is correct |
14 |
Correct |
202 ms |
14204 KB |
Output is correct |
15 |
Correct |
197 ms |
14976 KB |
Output is correct |
16 |
Correct |
211 ms |
14168 KB |
Output is correct |
17 |
Correct |
221 ms |
14224 KB |
Output is correct |
18 |
Correct |
135 ms |
16212 KB |
Output is correct |
19 |
Correct |
158 ms |
13092 KB |
Output is correct |
20 |
Correct |
170 ms |
14804 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 |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 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 |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
172 ms |
15196 KB |
Output is correct |
12 |
Correct |
181 ms |
14672 KB |
Output is correct |
13 |
Correct |
203 ms |
14080 KB |
Output is correct |
14 |
Correct |
202 ms |
14204 KB |
Output is correct |
15 |
Correct |
197 ms |
14976 KB |
Output is correct |
16 |
Correct |
211 ms |
14168 KB |
Output is correct |
17 |
Correct |
221 ms |
14224 KB |
Output is correct |
18 |
Correct |
135 ms |
16212 KB |
Output is correct |
19 |
Correct |
158 ms |
13092 KB |
Output is correct |
20 |
Correct |
170 ms |
14804 KB |
Output is correct |
21 |
Correct |
182 ms |
18256 KB |
Output is correct |
22 |
Correct |
209 ms |
18372 KB |
Output is correct |
23 |
Correct |
230 ms |
17384 KB |
Output is correct |
24 |
Correct |
221 ms |
17236 KB |
Output is correct |
25 |
Correct |
228 ms |
19284 KB |
Output is correct |
26 |
Correct |
242 ms |
17748 KB |
Output is correct |
27 |
Correct |
254 ms |
17708 KB |
Output is correct |
28 |
Correct |
143 ms |
20368 KB |
Output is correct |
29 |
Correct |
182 ms |
16212 KB |
Output is correct |
30 |
Correct |
201 ms |
18260 KB |
Output is correct |
31 |
Correct |
247 ms |
18004 KB |
Output is correct |
32 |
Correct |
275 ms |
18256 KB |
Output is correct |
33 |
Correct |
207 ms |
17108 KB |
Output is correct |
34 |
Correct |
247 ms |
17236 KB |
Output is correct |
35 |
Correct |
251 ms |
17492 KB |
Output is correct |
36 |
Correct |
136 ms |
16192 KB |
Output is correct |
37 |
Correct |
195 ms |
18048 KB |
Output is correct |
38 |
Correct |
218 ms |
16212 KB |
Output is correct |
39 |
Correct |
230 ms |
17424 KB |
Output is correct |
40 |
Correct |
218 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 |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 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 |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
45 ms |
16112 KB |
Output is correct |
12 |
Correct |
38 ms |
16224 KB |
Output is correct |
13 |
Correct |
47 ms |
16372 KB |
Output is correct |
14 |
Correct |
53 ms |
16120 KB |
Output is correct |
15 |
Correct |
38 ms |
16112 KB |
Output is correct |
16 |
Correct |
49 ms |
16020 KB |
Output is correct |
17 |
Correct |
46 ms |
16156 KB |
Output is correct |
18 |
Correct |
32 ms |
16236 KB |
Output is correct |
19 |
Correct |
40 ms |
15860 KB |
Output is correct |
20 |
Correct |
36 ms |
16116 KB |
Output is correct |
21 |
Correct |
41 ms |
16224 KB |
Output is correct |
22 |
Correct |
52 ms |
16224 KB |
Output is correct |
23 |
Correct |
37 ms |
16116 KB |
Output is correct |
24 |
Correct |
48 ms |
15972 KB |
Output is correct |
25 |
Correct |
44 ms |
16116 KB |
Output is correct |
26 |
Correct |
34 ms |
15860 KB |
Output is correct |
27 |
Correct |
36 ms |
16228 KB |
Output is correct |
28 |
Correct |
37 ms |
15960 KB |
Output is correct |
29 |
Correct |
47 ms |
16112 KB |
Output is correct |
30 |
Correct |
42 ms |
15968 KB |
Output is correct |
31 |
Correct |
36 ms |
16112 KB |
Output is correct |
32 |
Correct |
49 ms |
16116 KB |
Output is correct |
33 |
Correct |
46 ms |
15976 KB |
Output is correct |
34 |
Correct |
32 ms |
15860 KB |
Output is correct |
35 |
Correct |
42 ms |
16108 KB |
Output is correct |
36 |
Correct |
45 ms |
16112 KB |
Output is correct |
37 |
Correct |
56 ms |
16112 KB |
Output is correct |
38 |
Correct |
44 ms |
16296 KB |
Output is correct |
39 |
Correct |
46 ms |
15964 KB |
Output is correct |
40 |
Correct |
42 ms |
16112 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 |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 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 |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
172 ms |
15196 KB |
Output is correct |
12 |
Correct |
181 ms |
14672 KB |
Output is correct |
13 |
Correct |
203 ms |
14080 KB |
Output is correct |
14 |
Correct |
202 ms |
14204 KB |
Output is correct |
15 |
Correct |
197 ms |
14976 KB |
Output is correct |
16 |
Correct |
211 ms |
14168 KB |
Output is correct |
17 |
Correct |
221 ms |
14224 KB |
Output is correct |
18 |
Correct |
135 ms |
16212 KB |
Output is correct |
19 |
Correct |
158 ms |
13092 KB |
Output is correct |
20 |
Correct |
170 ms |
14804 KB |
Output is correct |
21 |
Correct |
182 ms |
18256 KB |
Output is correct |
22 |
Correct |
209 ms |
18372 KB |
Output is correct |
23 |
Correct |
230 ms |
17384 KB |
Output is correct |
24 |
Correct |
221 ms |
17236 KB |
Output is correct |
25 |
Correct |
228 ms |
19284 KB |
Output is correct |
26 |
Correct |
242 ms |
17748 KB |
Output is correct |
27 |
Correct |
254 ms |
17708 KB |
Output is correct |
28 |
Correct |
143 ms |
20368 KB |
Output is correct |
29 |
Correct |
182 ms |
16212 KB |
Output is correct |
30 |
Correct |
201 ms |
18260 KB |
Output is correct |
31 |
Correct |
247 ms |
18004 KB |
Output is correct |
32 |
Correct |
275 ms |
18256 KB |
Output is correct |
33 |
Correct |
207 ms |
17108 KB |
Output is correct |
34 |
Correct |
247 ms |
17236 KB |
Output is correct |
35 |
Correct |
251 ms |
17492 KB |
Output is correct |
36 |
Correct |
136 ms |
16192 KB |
Output is correct |
37 |
Correct |
195 ms |
18048 KB |
Output is correct |
38 |
Correct |
218 ms |
16212 KB |
Output is correct |
39 |
Correct |
230 ms |
17424 KB |
Output is correct |
40 |
Correct |
218 ms |
17232 KB |
Output is correct |
41 |
Correct |
45 ms |
16112 KB |
Output is correct |
42 |
Correct |
38 ms |
16224 KB |
Output is correct |
43 |
Correct |
47 ms |
16372 KB |
Output is correct |
44 |
Correct |
53 ms |
16120 KB |
Output is correct |
45 |
Correct |
38 ms |
16112 KB |
Output is correct |
46 |
Correct |
49 ms |
16020 KB |
Output is correct |
47 |
Correct |
46 ms |
16156 KB |
Output is correct |
48 |
Correct |
32 ms |
16236 KB |
Output is correct |
49 |
Correct |
40 ms |
15860 KB |
Output is correct |
50 |
Correct |
36 ms |
16116 KB |
Output is correct |
51 |
Correct |
41 ms |
16224 KB |
Output is correct |
52 |
Correct |
52 ms |
16224 KB |
Output is correct |
53 |
Correct |
37 ms |
16116 KB |
Output is correct |
54 |
Correct |
48 ms |
15972 KB |
Output is correct |
55 |
Correct |
44 ms |
16116 KB |
Output is correct |
56 |
Correct |
34 ms |
15860 KB |
Output is correct |
57 |
Correct |
36 ms |
16228 KB |
Output is correct |
58 |
Correct |
37 ms |
15960 KB |
Output is correct |
59 |
Correct |
47 ms |
16112 KB |
Output is correct |
60 |
Correct |
42 ms |
15968 KB |
Output is correct |
61 |
Correct |
36 ms |
16112 KB |
Output is correct |
62 |
Correct |
49 ms |
16116 KB |
Output is correct |
63 |
Correct |
46 ms |
15976 KB |
Output is correct |
64 |
Correct |
32 ms |
15860 KB |
Output is correct |
65 |
Correct |
42 ms |
16108 KB |
Output is correct |
66 |
Correct |
45 ms |
16112 KB |
Output is correct |
67 |
Correct |
56 ms |
16112 KB |
Output is correct |
68 |
Correct |
44 ms |
16296 KB |
Output is correct |
69 |
Correct |
46 ms |
15964 KB |
Output is correct |
70 |
Correct |
42 ms |
16112 KB |
Output is correct |
71 |
Correct |
303 ms |
40428 KB |
Output is correct |
72 |
Correct |
319 ms |
40548 KB |
Output is correct |
73 |
Correct |
355 ms |
39348 KB |
Output is correct |
74 |
Correct |
587 ms |
39412 KB |
Output is correct |
75 |
Correct |
344 ms |
41460 KB |
Output is correct |
76 |
Correct |
538 ms |
39668 KB |
Output is correct |
77 |
Correct |
565 ms |
39552 KB |
Output is correct |
78 |
Correct |
221 ms |
43664 KB |
Output is correct |
79 |
Correct |
321 ms |
37364 KB |
Output is correct |
80 |
Correct |
316 ms |
40568 KB |
Output is correct |
81 |
Correct |
428 ms |
40312 KB |
Output is correct |
82 |
Correct |
577 ms |
39792 KB |
Output is correct |
83 |
Correct |
305 ms |
38492 KB |
Output is correct |
84 |
Correct |
457 ms |
39564 KB |
Output is correct |
85 |
Correct |
538 ms |
39648 KB |
Output is correct |
86 |
Correct |
219 ms |
37212 KB |
Output is correct |
87 |
Correct |
310 ms |
40288 KB |
Output is correct |
88 |
Correct |
307 ms |
37072 KB |
Output is correct |
89 |
Correct |
440 ms |
39012 KB |
Output is correct |
90 |
Correct |
397 ms |
39356 KB |
Output is correct |
91 |
Correct |
307 ms |
38504 KB |
Output is correct |
92 |
Correct |
555 ms |
39776 KB |
Output is correct |
93 |
Correct |
501 ms |
39536 KB |
Output is correct |
94 |
Correct |
247 ms |
37220 KB |
Output is correct |
95 |
Correct |
492 ms |
39568 KB |
Output is correct |
96 |
Correct |
452 ms |
39372 KB |
Output is correct |
97 |
Correct |
527 ms |
39692 KB |
Output is correct |
98 |
Correct |
508 ms |
39428 KB |
Output is correct |
99 |
Correct |
448 ms |
39468 KB |
Output is correct |
100 |
Correct |
430 ms |
39408 KB |
Output is correct |