#include <bits/stdc++.h>
using namespace std;
const int N = 20;
int zero[1 << N], one[1 << N], value[1 << N];
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int n, q;
string s;
cin >> n >> q >> s;
for (int i = 0; i < (1 << n); ++i) {
zero[i] = one[i] = value[i] = s[i] - '0';
}
for (int i = 0; i < n; ++i) {
for (int j = 0; j < (1 << n); ++j) {
if ((j & (1 << i)) > 0) {
one[j ^ (1 << i)] += one[j];
} else {
zero[j ^ (1 << i)] += zero[j];
}
}
}
while (q--) {
cin >> s;
reverse(s.begin(), s.end());
int mask_0 = 0, mask_1 = 0, mask_q = 0;
for (int i = 0; i < n; ++i) {
if (s[i] == '0') {
mask_0 |= 1 << i;
} else if (s[i] == '1') {
mask_1 |= 1 << i;
} else {
mask_q |= 1 << i;
}
}
int ans = 0;
if (__builtin_popcount(mask_0) <= n / 3) {
ans = one[mask_1];
for (int i = mask_0; i > 0; i = mask_0 & (i - 1)) {
if (__builtin_parity(i) == 1) {
ans -= one[mask_1 ^ i];
} else {
ans += one[mask_1 ^ i];
}
}
} else if (__builtin_popcount(mask_1) <= n / 3) {
ans = zero[mask_1 ^ mask_q];
for (int i = mask_1; i > 0; i = mask_1 & (i - 1)) {
if (__builtin_parity(i) == 1) {
ans -= zero[mask_q ^ mask_1 ^ i];
} else {
ans += zero[mask_q ^ mask_1 ^ i];
}
}
} else {
ans = value[mask_1];
for (int i = mask_q; i > 0; i = mask_q & (i - 1)) {
ans += value[mask_1 ^ i];
}
}
cout << ans << "\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
336 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
336 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
336 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
336 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
254 ms |
14972 KB |
Output is correct |
12 |
Correct |
273 ms |
12228 KB |
Output is correct |
13 |
Correct |
299 ms |
11568 KB |
Output is correct |
14 |
Correct |
284 ms |
11520 KB |
Output is correct |
15 |
Correct |
279 ms |
12596 KB |
Output is correct |
16 |
Correct |
300 ms |
11844 KB |
Output is correct |
17 |
Correct |
303 ms |
11716 KB |
Output is correct |
18 |
Correct |
218 ms |
13588 KB |
Output is correct |
19 |
Correct |
256 ms |
10612 KB |
Output is correct |
20 |
Correct |
269 ms |
12456 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
336 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
336 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
254 ms |
14972 KB |
Output is correct |
12 |
Correct |
273 ms |
12228 KB |
Output is correct |
13 |
Correct |
299 ms |
11568 KB |
Output is correct |
14 |
Correct |
284 ms |
11520 KB |
Output is correct |
15 |
Correct |
279 ms |
12596 KB |
Output is correct |
16 |
Correct |
300 ms |
11844 KB |
Output is correct |
17 |
Correct |
303 ms |
11716 KB |
Output is correct |
18 |
Correct |
218 ms |
13588 KB |
Output is correct |
19 |
Correct |
256 ms |
10612 KB |
Output is correct |
20 |
Correct |
269 ms |
12456 KB |
Output is correct |
21 |
Correct |
282 ms |
15912 KB |
Output is correct |
22 |
Correct |
300 ms |
16068 KB |
Output is correct |
23 |
Correct |
350 ms |
12820 KB |
Output is correct |
24 |
Correct |
348 ms |
12868 KB |
Output is correct |
25 |
Correct |
301 ms |
14916 KB |
Output is correct |
26 |
Correct |
353 ms |
13420 KB |
Output is correct |
27 |
Correct |
355 ms |
13552 KB |
Output is correct |
28 |
Correct |
221 ms |
16296 KB |
Output is correct |
29 |
Correct |
278 ms |
12276 KB |
Output is correct |
30 |
Correct |
300 ms |
14672 KB |
Output is correct |
31 |
Correct |
329 ms |
14560 KB |
Output is correct |
32 |
Correct |
345 ms |
14652 KB |
Output is correct |
33 |
Correct |
306 ms |
13584 KB |
Output is correct |
34 |
Correct |
401 ms |
13704 KB |
Output is correct |
35 |
Correct |
356 ms |
14312 KB |
Output is correct |
36 |
Correct |
241 ms |
13252 KB |
Output is correct |
37 |
Correct |
271 ms |
15112 KB |
Output is correct |
38 |
Correct |
305 ms |
13200 KB |
Output is correct |
39 |
Correct |
327 ms |
14532 KB |
Output is correct |
40 |
Correct |
338 ms |
14520 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
336 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
336 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
53 ms |
15980 KB |
Output is correct |
12 |
Correct |
57 ms |
16076 KB |
Output is correct |
13 |
Correct |
72 ms |
15916 KB |
Output is correct |
14 |
Correct |
65 ms |
15972 KB |
Output is correct |
15 |
Correct |
52 ms |
16076 KB |
Output is correct |
16 |
Correct |
64 ms |
15940 KB |
Output is correct |
17 |
Correct |
74 ms |
15968 KB |
Output is correct |
18 |
Correct |
46 ms |
16188 KB |
Output is correct |
19 |
Correct |
51 ms |
15812 KB |
Output is correct |
20 |
Correct |
52 ms |
15972 KB |
Output is correct |
21 |
Correct |
59 ms |
15956 KB |
Output is correct |
22 |
Correct |
68 ms |
16072 KB |
Output is correct |
23 |
Correct |
53 ms |
15968 KB |
Output is correct |
24 |
Correct |
78 ms |
16016 KB |
Output is correct |
25 |
Correct |
74 ms |
15948 KB |
Output is correct |
26 |
Correct |
44 ms |
15816 KB |
Output is correct |
27 |
Correct |
55 ms |
16040 KB |
Output is correct |
28 |
Correct |
59 ms |
15812 KB |
Output is correct |
29 |
Correct |
59 ms |
15996 KB |
Output is correct |
30 |
Correct |
59 ms |
15972 KB |
Output is correct |
31 |
Correct |
53 ms |
15876 KB |
Output is correct |
32 |
Correct |
76 ms |
16020 KB |
Output is correct |
33 |
Correct |
78 ms |
15976 KB |
Output is correct |
34 |
Correct |
44 ms |
15812 KB |
Output is correct |
35 |
Correct |
70 ms |
15948 KB |
Output is correct |
36 |
Correct |
67 ms |
15912 KB |
Output is correct |
37 |
Correct |
71 ms |
15944 KB |
Output is correct |
38 |
Correct |
67 ms |
15976 KB |
Output is correct |
39 |
Correct |
68 ms |
15932 KB |
Output is correct |
40 |
Correct |
70 ms |
15940 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
336 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
336 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
254 ms |
14972 KB |
Output is correct |
12 |
Correct |
273 ms |
12228 KB |
Output is correct |
13 |
Correct |
299 ms |
11568 KB |
Output is correct |
14 |
Correct |
284 ms |
11520 KB |
Output is correct |
15 |
Correct |
279 ms |
12596 KB |
Output is correct |
16 |
Correct |
300 ms |
11844 KB |
Output is correct |
17 |
Correct |
303 ms |
11716 KB |
Output is correct |
18 |
Correct |
218 ms |
13588 KB |
Output is correct |
19 |
Correct |
256 ms |
10612 KB |
Output is correct |
20 |
Correct |
269 ms |
12456 KB |
Output is correct |
21 |
Correct |
282 ms |
15912 KB |
Output is correct |
22 |
Correct |
300 ms |
16068 KB |
Output is correct |
23 |
Correct |
350 ms |
12820 KB |
Output is correct |
24 |
Correct |
348 ms |
12868 KB |
Output is correct |
25 |
Correct |
301 ms |
14916 KB |
Output is correct |
26 |
Correct |
353 ms |
13420 KB |
Output is correct |
27 |
Correct |
355 ms |
13552 KB |
Output is correct |
28 |
Correct |
221 ms |
16296 KB |
Output is correct |
29 |
Correct |
278 ms |
12276 KB |
Output is correct |
30 |
Correct |
300 ms |
14672 KB |
Output is correct |
31 |
Correct |
329 ms |
14560 KB |
Output is correct |
32 |
Correct |
345 ms |
14652 KB |
Output is correct |
33 |
Correct |
306 ms |
13584 KB |
Output is correct |
34 |
Correct |
401 ms |
13704 KB |
Output is correct |
35 |
Correct |
356 ms |
14312 KB |
Output is correct |
36 |
Correct |
241 ms |
13252 KB |
Output is correct |
37 |
Correct |
271 ms |
15112 KB |
Output is correct |
38 |
Correct |
305 ms |
13200 KB |
Output is correct |
39 |
Correct |
327 ms |
14532 KB |
Output is correct |
40 |
Correct |
338 ms |
14520 KB |
Output is correct |
41 |
Correct |
53 ms |
15980 KB |
Output is correct |
42 |
Correct |
57 ms |
16076 KB |
Output is correct |
43 |
Correct |
72 ms |
15916 KB |
Output is correct |
44 |
Correct |
65 ms |
15972 KB |
Output is correct |
45 |
Correct |
52 ms |
16076 KB |
Output is correct |
46 |
Correct |
64 ms |
15940 KB |
Output is correct |
47 |
Correct |
74 ms |
15968 KB |
Output is correct |
48 |
Correct |
46 ms |
16188 KB |
Output is correct |
49 |
Correct |
51 ms |
15812 KB |
Output is correct |
50 |
Correct |
52 ms |
15972 KB |
Output is correct |
51 |
Correct |
59 ms |
15956 KB |
Output is correct |
52 |
Correct |
68 ms |
16072 KB |
Output is correct |
53 |
Correct |
53 ms |
15968 KB |
Output is correct |
54 |
Correct |
78 ms |
16016 KB |
Output is correct |
55 |
Correct |
74 ms |
15948 KB |
Output is correct |
56 |
Correct |
44 ms |
15816 KB |
Output is correct |
57 |
Correct |
55 ms |
16040 KB |
Output is correct |
58 |
Correct |
59 ms |
15812 KB |
Output is correct |
59 |
Correct |
59 ms |
15996 KB |
Output is correct |
60 |
Correct |
59 ms |
15972 KB |
Output is correct |
61 |
Correct |
53 ms |
15876 KB |
Output is correct |
62 |
Correct |
76 ms |
16020 KB |
Output is correct |
63 |
Correct |
78 ms |
15976 KB |
Output is correct |
64 |
Correct |
44 ms |
15812 KB |
Output is correct |
65 |
Correct |
70 ms |
15948 KB |
Output is correct |
66 |
Correct |
67 ms |
15912 KB |
Output is correct |
67 |
Correct |
71 ms |
15944 KB |
Output is correct |
68 |
Correct |
67 ms |
15976 KB |
Output is correct |
69 |
Correct |
68 ms |
15932 KB |
Output is correct |
70 |
Correct |
70 ms |
15940 KB |
Output is correct |
71 |
Correct |
444 ms |
40344 KB |
Output is correct |
72 |
Correct |
467 ms |
40380 KB |
Output is correct |
73 |
Correct |
648 ms |
38880 KB |
Output is correct |
74 |
Correct |
722 ms |
39240 KB |
Output is correct |
75 |
Correct |
428 ms |
41216 KB |
Output is correct |
76 |
Correct |
753 ms |
39684 KB |
Output is correct |
77 |
Correct |
963 ms |
39476 KB |
Output is correct |
78 |
Correct |
286 ms |
43272 KB |
Output is correct |
79 |
Correct |
407 ms |
37344 KB |
Output is correct |
80 |
Correct |
475 ms |
40408 KB |
Output is correct |
81 |
Correct |
591 ms |
40208 KB |
Output is correct |
82 |
Correct |
696 ms |
39424 KB |
Output is correct |
83 |
Correct |
453 ms |
38492 KB |
Output is correct |
84 |
Correct |
1012 ms |
39428 KB |
Output is correct |
85 |
Correct |
923 ms |
39516 KB |
Output is correct |
86 |
Correct |
300 ms |
37292 KB |
Output is correct |
87 |
Correct |
423 ms |
40316 KB |
Output is correct |
88 |
Correct |
510 ms |
37428 KB |
Output is correct |
89 |
Correct |
586 ms |
39020 KB |
Output is correct |
90 |
Correct |
616 ms |
39284 KB |
Output is correct |
91 |
Correct |
489 ms |
38572 KB |
Output is correct |
92 |
Correct |
996 ms |
39532 KB |
Output is correct |
93 |
Correct |
936 ms |
39448 KB |
Output is correct |
94 |
Correct |
275 ms |
37308 KB |
Output is correct |
95 |
Correct |
781 ms |
39340 KB |
Output is correct |
96 |
Correct |
795 ms |
39376 KB |
Output is correct |
97 |
Correct |
761 ms |
39324 KB |
Output is correct |
98 |
Correct |
751 ms |
39380 KB |
Output is correct |
99 |
Correct |
794 ms |
39420 KB |
Output is correct |
100 |
Correct |
768 ms |
39460 KB |
Output is correct |