#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int L = 21;
const int M = (1 << L) + 7;
const int K = 6;
int m;
int l;
int q;
string s;
int a[M];
int f[M];
int g[M];
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cin >> l >> q >> s;
m = (1 << l);
for (int i = 0; i < m; ++i) {
a[i] = s[i] - '0';
}
for (int i = 0; i < m; ++i) {
f[i] = a[i];
g[i] = a[i];
}
for (int j = 0; j < l; ++j) {
for (int i = 0; i < m; ++i) {
if ((i >> j) & 1) {
f[i] += f[i ^ (1 << j)];
g[i ^ (1 << j)] += g[i];
}
}
}
while (q--) {
vector<int> t(3, 0);
string tt;
cin >> tt;
for (int i = l - 1; i >= 0; --i) {
t[tt[i] == '?' ? 2 : tt[i] - '0'] |= (1 << (l - i - 1));
}
if (__builtin_popcount(t[1]) <= K) {
int ans = 0;
int ppc = __builtin_popcount(t[1]);
for (int z = t[1]; ; z = (z - 1) & t[1]) {
ans += (((ppc ^ __builtin_popcount(z)) & 1) ? -1 : 1) * f[t[2] | z];
if (z == 0) {
break;
}
}
cout << ans << "\n";
} else if (__builtin_popcount(t[0]) <= K) {
int ans = 0;
int ppc = __builtin_popcount(t[0]);
for (int z = t[0]; ; z = (z - 1) & t[0]) {
ans += (((ppc ^ __builtin_popcount(z)) & 1) ? -1 : 1) * g[t[1] ^ t[0] ^ z];
if (z == 0) {
break;
}
}
cout << ans << "\n";
} else {
assert(__builtin_popcount(t[2]) <= K);
int ans = 0;
for (int z = t[2]; ; z = (z - 1) & t[2]) {
ans += a[t[1] | z];
if (z == 0) {
break;
}
}
cout << ans << "\n";
}
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
4440 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4568 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
4440 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4568 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
307 ms |
19184 KB |
Output is correct |
12 |
Correct |
202 ms |
18764 KB |
Output is correct |
13 |
Correct |
210 ms |
18188 KB |
Output is correct |
14 |
Correct |
198 ms |
18200 KB |
Output is correct |
15 |
Correct |
232 ms |
19228 KB |
Output is correct |
16 |
Correct |
240 ms |
18436 KB |
Output is correct |
17 |
Correct |
262 ms |
18312 KB |
Output is correct |
18 |
Correct |
152 ms |
20152 KB |
Output is correct |
19 |
Correct |
261 ms |
17236 KB |
Output is correct |
20 |
Correct |
286 ms |
19028 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
4440 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4568 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
307 ms |
19184 KB |
Output is correct |
12 |
Correct |
202 ms |
18764 KB |
Output is correct |
13 |
Correct |
210 ms |
18188 KB |
Output is correct |
14 |
Correct |
198 ms |
18200 KB |
Output is correct |
15 |
Correct |
232 ms |
19228 KB |
Output is correct |
16 |
Correct |
240 ms |
18436 KB |
Output is correct |
17 |
Correct |
262 ms |
18312 KB |
Output is correct |
18 |
Correct |
152 ms |
20152 KB |
Output is correct |
19 |
Correct |
261 ms |
17236 KB |
Output is correct |
20 |
Correct |
286 ms |
19028 KB |
Output is correct |
21 |
Correct |
413 ms |
22180 KB |
Output is correct |
22 |
Correct |
218 ms |
22412 KB |
Output is correct |
23 |
Correct |
252 ms |
21424 KB |
Output is correct |
24 |
Correct |
242 ms |
21072 KB |
Output is correct |
25 |
Correct |
232 ms |
23124 KB |
Output is correct |
26 |
Correct |
289 ms |
21676 KB |
Output is correct |
27 |
Correct |
290 ms |
21740 KB |
Output is correct |
28 |
Correct |
162 ms |
24200 KB |
Output is correct |
29 |
Correct |
379 ms |
20276 KB |
Output is correct |
30 |
Correct |
287 ms |
22356 KB |
Output is correct |
31 |
Correct |
263 ms |
22216 KB |
Output is correct |
32 |
Correct |
255 ms |
22100 KB |
Output is correct |
33 |
Correct |
211 ms |
21072 KB |
Output is correct |
34 |
Correct |
278 ms |
21412 KB |
Output is correct |
35 |
Correct |
284 ms |
21624 KB |
Output is correct |
36 |
Correct |
164 ms |
20080 KB |
Output is correct |
37 |
Correct |
205 ms |
22104 KB |
Output is correct |
38 |
Correct |
304 ms |
20304 KB |
Output is correct |
39 |
Correct |
398 ms |
21328 KB |
Output is correct |
40 |
Correct |
299 ms |
21072 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
4440 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4568 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
36 ms |
20472 KB |
Output is correct |
12 |
Correct |
35 ms |
20500 KB |
Output is correct |
13 |
Correct |
46 ms |
20224 KB |
Output is correct |
14 |
Correct |
46 ms |
20208 KB |
Output is correct |
15 |
Correct |
37 ms |
20464 KB |
Output is correct |
16 |
Correct |
44 ms |
20288 KB |
Output is correct |
17 |
Correct |
45 ms |
20212 KB |
Output is correct |
18 |
Correct |
32 ms |
20480 KB |
Output is correct |
19 |
Correct |
33 ms |
20108 KB |
Output is correct |
20 |
Correct |
35 ms |
20480 KB |
Output is correct |
21 |
Correct |
40 ms |
20472 KB |
Output is correct |
22 |
Correct |
48 ms |
20208 KB |
Output is correct |
23 |
Correct |
39 ms |
20236 KB |
Output is correct |
24 |
Correct |
46 ms |
20216 KB |
Output is correct |
25 |
Correct |
43 ms |
20240 KB |
Output is correct |
26 |
Correct |
39 ms |
20208 KB |
Output is correct |
27 |
Correct |
36 ms |
20280 KB |
Output is correct |
28 |
Correct |
34 ms |
20208 KB |
Output is correct |
29 |
Correct |
41 ms |
20280 KB |
Output is correct |
30 |
Correct |
42 ms |
20236 KB |
Output is correct |
31 |
Correct |
39 ms |
20212 KB |
Output is correct |
32 |
Correct |
52 ms |
20400 KB |
Output is correct |
33 |
Correct |
45 ms |
20232 KB |
Output is correct |
34 |
Correct |
38 ms |
20480 KB |
Output is correct |
35 |
Correct |
41 ms |
20208 KB |
Output is correct |
36 |
Correct |
39 ms |
20212 KB |
Output is correct |
37 |
Correct |
42 ms |
20256 KB |
Output is correct |
38 |
Correct |
60 ms |
20240 KB |
Output is correct |
39 |
Correct |
46 ms |
20492 KB |
Output is correct |
40 |
Correct |
50 ms |
20348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
4440 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4568 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
307 ms |
19184 KB |
Output is correct |
12 |
Correct |
202 ms |
18764 KB |
Output is correct |
13 |
Correct |
210 ms |
18188 KB |
Output is correct |
14 |
Correct |
198 ms |
18200 KB |
Output is correct |
15 |
Correct |
232 ms |
19228 KB |
Output is correct |
16 |
Correct |
240 ms |
18436 KB |
Output is correct |
17 |
Correct |
262 ms |
18312 KB |
Output is correct |
18 |
Correct |
152 ms |
20152 KB |
Output is correct |
19 |
Correct |
261 ms |
17236 KB |
Output is correct |
20 |
Correct |
286 ms |
19028 KB |
Output is correct |
21 |
Correct |
413 ms |
22180 KB |
Output is correct |
22 |
Correct |
218 ms |
22412 KB |
Output is correct |
23 |
Correct |
252 ms |
21424 KB |
Output is correct |
24 |
Correct |
242 ms |
21072 KB |
Output is correct |
25 |
Correct |
232 ms |
23124 KB |
Output is correct |
26 |
Correct |
289 ms |
21676 KB |
Output is correct |
27 |
Correct |
290 ms |
21740 KB |
Output is correct |
28 |
Correct |
162 ms |
24200 KB |
Output is correct |
29 |
Correct |
379 ms |
20276 KB |
Output is correct |
30 |
Correct |
287 ms |
22356 KB |
Output is correct |
31 |
Correct |
263 ms |
22216 KB |
Output is correct |
32 |
Correct |
255 ms |
22100 KB |
Output is correct |
33 |
Correct |
211 ms |
21072 KB |
Output is correct |
34 |
Correct |
278 ms |
21412 KB |
Output is correct |
35 |
Correct |
284 ms |
21624 KB |
Output is correct |
36 |
Correct |
164 ms |
20080 KB |
Output is correct |
37 |
Correct |
205 ms |
22104 KB |
Output is correct |
38 |
Correct |
304 ms |
20304 KB |
Output is correct |
39 |
Correct |
398 ms |
21328 KB |
Output is correct |
40 |
Correct |
299 ms |
21072 KB |
Output is correct |
41 |
Correct |
36 ms |
20472 KB |
Output is correct |
42 |
Correct |
35 ms |
20500 KB |
Output is correct |
43 |
Correct |
46 ms |
20224 KB |
Output is correct |
44 |
Correct |
46 ms |
20208 KB |
Output is correct |
45 |
Correct |
37 ms |
20464 KB |
Output is correct |
46 |
Correct |
44 ms |
20288 KB |
Output is correct |
47 |
Correct |
45 ms |
20212 KB |
Output is correct |
48 |
Correct |
32 ms |
20480 KB |
Output is correct |
49 |
Correct |
33 ms |
20108 KB |
Output is correct |
50 |
Correct |
35 ms |
20480 KB |
Output is correct |
51 |
Correct |
40 ms |
20472 KB |
Output is correct |
52 |
Correct |
48 ms |
20208 KB |
Output is correct |
53 |
Correct |
39 ms |
20236 KB |
Output is correct |
54 |
Correct |
46 ms |
20216 KB |
Output is correct |
55 |
Correct |
43 ms |
20240 KB |
Output is correct |
56 |
Correct |
39 ms |
20208 KB |
Output is correct |
57 |
Correct |
36 ms |
20280 KB |
Output is correct |
58 |
Correct |
34 ms |
20208 KB |
Output is correct |
59 |
Correct |
41 ms |
20280 KB |
Output is correct |
60 |
Correct |
42 ms |
20236 KB |
Output is correct |
61 |
Correct |
39 ms |
20212 KB |
Output is correct |
62 |
Correct |
52 ms |
20400 KB |
Output is correct |
63 |
Correct |
45 ms |
20232 KB |
Output is correct |
64 |
Correct |
38 ms |
20480 KB |
Output is correct |
65 |
Correct |
41 ms |
20208 KB |
Output is correct |
66 |
Correct |
39 ms |
20212 KB |
Output is correct |
67 |
Correct |
42 ms |
20256 KB |
Output is correct |
68 |
Correct |
60 ms |
20240 KB |
Output is correct |
69 |
Correct |
46 ms |
20492 KB |
Output is correct |
70 |
Correct |
50 ms |
20348 KB |
Output is correct |
71 |
Correct |
312 ms |
44532 KB |
Output is correct |
72 |
Correct |
346 ms |
44804 KB |
Output is correct |
73 |
Correct |
407 ms |
43400 KB |
Output is correct |
74 |
Correct |
561 ms |
43508 KB |
Output is correct |
75 |
Correct |
360 ms |
45540 KB |
Output is correct |
76 |
Correct |
572 ms |
44196 KB |
Output is correct |
77 |
Correct |
526 ms |
44092 KB |
Output is correct |
78 |
Correct |
260 ms |
47736 KB |
Output is correct |
79 |
Correct |
234 ms |
41736 KB |
Output is correct |
80 |
Correct |
378 ms |
44684 KB |
Output is correct |
81 |
Correct |
437 ms |
44528 KB |
Output is correct |
82 |
Correct |
547 ms |
43504 KB |
Output is correct |
83 |
Correct |
333 ms |
42732 KB |
Output is correct |
84 |
Correct |
530 ms |
43736 KB |
Output is correct |
85 |
Correct |
508 ms |
43760 KB |
Output is correct |
86 |
Correct |
223 ms |
41612 KB |
Output is correct |
87 |
Correct |
309 ms |
44860 KB |
Output is correct |
88 |
Correct |
248 ms |
41696 KB |
Output is correct |
89 |
Correct |
388 ms |
43248 KB |
Output is correct |
90 |
Correct |
398 ms |
43720 KB |
Output is correct |
91 |
Correct |
339 ms |
42740 KB |
Output is correct |
92 |
Correct |
563 ms |
43884 KB |
Output is correct |
93 |
Correct |
481 ms |
43768 KB |
Output is correct |
94 |
Correct |
239 ms |
41712 KB |
Output is correct |
95 |
Correct |
460 ms |
43604 KB |
Output is correct |
96 |
Correct |
464 ms |
43792 KB |
Output is correct |
97 |
Correct |
467 ms |
43700 KB |
Output is correct |
98 |
Correct |
443 ms |
43720 KB |
Output is correct |
99 |
Correct |
431 ms |
43724 KB |
Output is correct |
100 |
Correct |
456 ms |
43596 KB |
Output is correct |