#include <bits/stdc++.h>
using namespace std;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int l, q;
string s;
cin >> l >> q >> s;
int n = (1 << l);
vector<int> sub(n), super(n);
for (int mask = 0; mask < n; ++mask) {
sub[mask] = (s[mask] - '0');
super[mask] = (s[mask] - '0');
}
for (int bit = 0; bit < l; ++bit) {
for (int mask = 0; mask < n; ++mask) {
if (mask & (1 << bit)) {
sub[mask] += sub[mask ^ (1 << bit)];
} else {
super[mask] += super[mask | (1 << bit)];
}
}
}
for (int qq = 0; qq < q; ++qq) {
string t;
cin >> t;
int mask0 = 0, mask1 = 0, maskq = 0;
for (int i = 0; i < l; ++i) {
if (t[i] == '0') {
mask0 |= (1 << (l - i - 1));
} else if (t[i] == '1') {
mask1 |= (1 << (l - i - 1));
} else {
maskq |= (1 << (l - i - 1));
}
}
int sum = 0, mask;
if (__builtin_popcount(maskq) <= l / 3) {
mask = maskq;
while (mask) {
sum += (s[mask1 | mask] - '0');
mask = (mask - 1) & maskq;
}
sum += (s[mask1] - '0');
} else if (__builtin_popcount(mask0) <= l / 3) {
mask = mask0;
while (mask) {
if (__builtin_popcount(mask) % 2 == 0) {
sum += super[mask | mask1];
} else {
sum -= super[mask | mask1];
}
mask = (mask - 1) & mask0;
}
sum += super[mask1];
} else {
int N = __builtin_popcount(mask1);
mask = mask1;
while (mask) {
if ((N - __builtin_popcount(mask)) % 2 == 0) {
sum += sub[mask | maskq];
} else {
sum -= sub[mask | maskq];
}
mask = (mask - 1) & mask1;
}
if (N % 2 == 0) {
sum += sub[maskq];
} else {
sum -= sub[maskq];
}
}
cout << sum << '\n';
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
205 ms |
15032 KB |
Output is correct |
12 |
Correct |
232 ms |
14724 KB |
Output is correct |
13 |
Correct |
236 ms |
13996 KB |
Output is correct |
14 |
Correct |
236 ms |
14024 KB |
Output is correct |
15 |
Correct |
227 ms |
15056 KB |
Output is correct |
16 |
Correct |
246 ms |
14152 KB |
Output is correct |
17 |
Correct |
261 ms |
14188 KB |
Output is correct |
18 |
Correct |
180 ms |
16128 KB |
Output is correct |
19 |
Correct |
211 ms |
13004 KB |
Output is correct |
20 |
Correct |
219 ms |
14812 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
205 ms |
15032 KB |
Output is correct |
12 |
Correct |
232 ms |
14724 KB |
Output is correct |
13 |
Correct |
236 ms |
13996 KB |
Output is correct |
14 |
Correct |
236 ms |
14024 KB |
Output is correct |
15 |
Correct |
227 ms |
15056 KB |
Output is correct |
16 |
Correct |
246 ms |
14152 KB |
Output is correct |
17 |
Correct |
261 ms |
14188 KB |
Output is correct |
18 |
Correct |
180 ms |
16128 KB |
Output is correct |
19 |
Correct |
211 ms |
13004 KB |
Output is correct |
20 |
Correct |
219 ms |
14812 KB |
Output is correct |
21 |
Correct |
236 ms |
17996 KB |
Output is correct |
22 |
Correct |
246 ms |
18348 KB |
Output is correct |
23 |
Correct |
282 ms |
17256 KB |
Output is correct |
24 |
Correct |
270 ms |
17016 KB |
Output is correct |
25 |
Correct |
253 ms |
19148 KB |
Output is correct |
26 |
Correct |
300 ms |
17612 KB |
Output is correct |
27 |
Correct |
282 ms |
17476 KB |
Output is correct |
28 |
Correct |
190 ms |
20036 KB |
Output is correct |
29 |
Correct |
226 ms |
16168 KB |
Output is correct |
30 |
Correct |
245 ms |
18256 KB |
Output is correct |
31 |
Correct |
285 ms |
18212 KB |
Output is correct |
32 |
Correct |
314 ms |
18204 KB |
Output is correct |
33 |
Correct |
238 ms |
16940 KB |
Output is correct |
34 |
Correct |
281 ms |
17100 KB |
Output is correct |
35 |
Correct |
285 ms |
17608 KB |
Output is correct |
36 |
Correct |
187 ms |
16024 KB |
Output is correct |
37 |
Correct |
228 ms |
18036 KB |
Output is correct |
38 |
Correct |
236 ms |
15984 KB |
Output is correct |
39 |
Correct |
275 ms |
17204 KB |
Output is correct |
40 |
Correct |
266 ms |
17100 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
52 ms |
12064 KB |
Output is correct |
12 |
Correct |
52 ms |
11984 KB |
Output is correct |
13 |
Correct |
48 ms |
11812 KB |
Output is correct |
14 |
Correct |
66 ms |
11840 KB |
Output is correct |
15 |
Correct |
47 ms |
11988 KB |
Output is correct |
16 |
Correct |
60 ms |
11860 KB |
Output is correct |
17 |
Correct |
62 ms |
12000 KB |
Output is correct |
18 |
Correct |
41 ms |
12072 KB |
Output is correct |
19 |
Correct |
45 ms |
11760 KB |
Output is correct |
20 |
Correct |
52 ms |
11916 KB |
Output is correct |
21 |
Correct |
50 ms |
11984 KB |
Output is correct |
22 |
Correct |
84 ms |
11840 KB |
Output is correct |
23 |
Correct |
44 ms |
11792 KB |
Output is correct |
24 |
Correct |
54 ms |
11856 KB |
Output is correct |
25 |
Correct |
61 ms |
11940 KB |
Output is correct |
26 |
Correct |
41 ms |
11728 KB |
Output is correct |
27 |
Correct |
45 ms |
11932 KB |
Output is correct |
28 |
Correct |
45 ms |
11736 KB |
Output is correct |
29 |
Correct |
45 ms |
11836 KB |
Output is correct |
30 |
Correct |
50 ms |
11860 KB |
Output is correct |
31 |
Correct |
45 ms |
11880 KB |
Output is correct |
32 |
Correct |
73 ms |
11932 KB |
Output is correct |
33 |
Correct |
59 ms |
11892 KB |
Output is correct |
34 |
Correct |
41 ms |
11744 KB |
Output is correct |
35 |
Correct |
59 ms |
11844 KB |
Output is correct |
36 |
Correct |
57 ms |
11904 KB |
Output is correct |
37 |
Correct |
56 ms |
11860 KB |
Output is correct |
38 |
Correct |
56 ms |
11844 KB |
Output is correct |
39 |
Correct |
52 ms |
11840 KB |
Output is correct |
40 |
Correct |
53 ms |
11864 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
205 ms |
15032 KB |
Output is correct |
12 |
Correct |
232 ms |
14724 KB |
Output is correct |
13 |
Correct |
236 ms |
13996 KB |
Output is correct |
14 |
Correct |
236 ms |
14024 KB |
Output is correct |
15 |
Correct |
227 ms |
15056 KB |
Output is correct |
16 |
Correct |
246 ms |
14152 KB |
Output is correct |
17 |
Correct |
261 ms |
14188 KB |
Output is correct |
18 |
Correct |
180 ms |
16128 KB |
Output is correct |
19 |
Correct |
211 ms |
13004 KB |
Output is correct |
20 |
Correct |
219 ms |
14812 KB |
Output is correct |
21 |
Correct |
236 ms |
17996 KB |
Output is correct |
22 |
Correct |
246 ms |
18348 KB |
Output is correct |
23 |
Correct |
282 ms |
17256 KB |
Output is correct |
24 |
Correct |
270 ms |
17016 KB |
Output is correct |
25 |
Correct |
253 ms |
19148 KB |
Output is correct |
26 |
Correct |
300 ms |
17612 KB |
Output is correct |
27 |
Correct |
282 ms |
17476 KB |
Output is correct |
28 |
Correct |
190 ms |
20036 KB |
Output is correct |
29 |
Correct |
226 ms |
16168 KB |
Output is correct |
30 |
Correct |
245 ms |
18256 KB |
Output is correct |
31 |
Correct |
285 ms |
18212 KB |
Output is correct |
32 |
Correct |
314 ms |
18204 KB |
Output is correct |
33 |
Correct |
238 ms |
16940 KB |
Output is correct |
34 |
Correct |
281 ms |
17100 KB |
Output is correct |
35 |
Correct |
285 ms |
17608 KB |
Output is correct |
36 |
Correct |
187 ms |
16024 KB |
Output is correct |
37 |
Correct |
228 ms |
18036 KB |
Output is correct |
38 |
Correct |
236 ms |
15984 KB |
Output is correct |
39 |
Correct |
275 ms |
17204 KB |
Output is correct |
40 |
Correct |
266 ms |
17100 KB |
Output is correct |
41 |
Correct |
52 ms |
12064 KB |
Output is correct |
42 |
Correct |
52 ms |
11984 KB |
Output is correct |
43 |
Correct |
48 ms |
11812 KB |
Output is correct |
44 |
Correct |
66 ms |
11840 KB |
Output is correct |
45 |
Correct |
47 ms |
11988 KB |
Output is correct |
46 |
Correct |
60 ms |
11860 KB |
Output is correct |
47 |
Correct |
62 ms |
12000 KB |
Output is correct |
48 |
Correct |
41 ms |
12072 KB |
Output is correct |
49 |
Correct |
45 ms |
11760 KB |
Output is correct |
50 |
Correct |
52 ms |
11916 KB |
Output is correct |
51 |
Correct |
50 ms |
11984 KB |
Output is correct |
52 |
Correct |
84 ms |
11840 KB |
Output is correct |
53 |
Correct |
44 ms |
11792 KB |
Output is correct |
54 |
Correct |
54 ms |
11856 KB |
Output is correct |
55 |
Correct |
61 ms |
11940 KB |
Output is correct |
56 |
Correct |
41 ms |
11728 KB |
Output is correct |
57 |
Correct |
45 ms |
11932 KB |
Output is correct |
58 |
Correct |
45 ms |
11736 KB |
Output is correct |
59 |
Correct |
45 ms |
11836 KB |
Output is correct |
60 |
Correct |
50 ms |
11860 KB |
Output is correct |
61 |
Correct |
45 ms |
11880 KB |
Output is correct |
62 |
Correct |
73 ms |
11932 KB |
Output is correct |
63 |
Correct |
59 ms |
11892 KB |
Output is correct |
64 |
Correct |
41 ms |
11744 KB |
Output is correct |
65 |
Correct |
59 ms |
11844 KB |
Output is correct |
66 |
Correct |
57 ms |
11904 KB |
Output is correct |
67 |
Correct |
56 ms |
11860 KB |
Output is correct |
68 |
Correct |
56 ms |
11844 KB |
Output is correct |
69 |
Correct |
52 ms |
11840 KB |
Output is correct |
70 |
Correct |
53 ms |
11864 KB |
Output is correct |
71 |
Correct |
382 ms |
36216 KB |
Output is correct |
72 |
Correct |
420 ms |
36308 KB |
Output is correct |
73 |
Correct |
444 ms |
35024 KB |
Output is correct |
74 |
Correct |
766 ms |
35220 KB |
Output is correct |
75 |
Correct |
411 ms |
37268 KB |
Output is correct |
76 |
Correct |
635 ms |
35552 KB |
Output is correct |
77 |
Correct |
647 ms |
35436 KB |
Output is correct |
78 |
Correct |
265 ms |
39408 KB |
Output is correct |
79 |
Correct |
329 ms |
33176 KB |
Output is correct |
80 |
Correct |
417 ms |
36356 KB |
Output is correct |
81 |
Correct |
503 ms |
36292 KB |
Output is correct |
82 |
Correct |
655 ms |
35228 KB |
Output is correct |
83 |
Correct |
363 ms |
34340 KB |
Output is correct |
84 |
Correct |
471 ms |
35176 KB |
Output is correct |
85 |
Correct |
633 ms |
35652 KB |
Output is correct |
86 |
Correct |
254 ms |
33252 KB |
Output is correct |
87 |
Correct |
362 ms |
36208 KB |
Output is correct |
88 |
Correct |
354 ms |
33300 KB |
Output is correct |
89 |
Correct |
409 ms |
34924 KB |
Output is correct |
90 |
Correct |
473 ms |
35304 KB |
Output is correct |
91 |
Correct |
382 ms |
34408 KB |
Output is correct |
92 |
Correct |
788 ms |
35572 KB |
Output is correct |
93 |
Correct |
683 ms |
35456 KB |
Output is correct |
94 |
Correct |
264 ms |
33256 KB |
Output is correct |
95 |
Correct |
577 ms |
35412 KB |
Output is correct |
96 |
Correct |
675 ms |
35368 KB |
Output is correct |
97 |
Correct |
577 ms |
35360 KB |
Output is correct |
98 |
Correct |
560 ms |
35332 KB |
Output is correct |
99 |
Correct |
564 ms |
35292 KB |
Output is correct |
100 |
Correct |
566 ms |
35468 KB |
Output is correct |