#include<iostream>
#include<algorithm>
#include<string>
#define all(x) x.begin(), x.end()
using namespace std;
typedef long long ll;
const int N = 1 << 20;
int l, q;
string s;
bool lg[N];
int a[N], f[N], g[N]; // f chứa con (1 = 01), g chứa cha (0 = 01)
void prep() {
int MASK(1 << l);
for (int msk = 0; msk < MASK; ++msk) {
lg[msk] = lg[msk >> 1] ^ (msk & 1);
a[msk] = f[msk] = g[msk] = s[msk] ^ 48;
}
for (int j = 0; j < l; ++j)
for (int msk = 0; msk < MASK; ++msk)
if (msk >> j & 1)
f[msk] += f[msk ^ (1 << j)];
else g[msk] += g[msk | (1 << j)];
}
int main() {
cin.tie(NULL)->sync_with_stdio(false);
cin >> l >> q >> s;
prep();
while (q--) {
string t; cin >> t;
int m0(0), m1(0), m2(0), cnt0(0), cnt1(0), cnt2(0);
for (char c : t) {
m0 <<= 1, m1 <<= 1, m2 <<= 1;
if (c == '0') ++m0, ++cnt0;
else if (c == '1') ++m1, ++cnt1;
else ++m2, ++cnt2;
}
int ans(0), mi = min({ cnt0, cnt1, cnt2 });
if (cnt2 == mi) { // brute ?
ans = a[m1];
for (int m = m2; m; m = (m - 1) & m2)
ans += a[m | m1];
}
else if (cnt0 == mi) { // inc-exc 0, dp sos 1 and ? => dùng g
ans = g[m1];
for (int m = m0; m; m = (m - 1) & m0)
ans += lg[m] ? -g[m | m1] : g[m | m1];
}
else { // inc-exc 1, dp sos 0 and ? => dùng f
ans = lg[m1] ? -f[m2] : f[m2];
for (int m = m1; m; m = (m - 1) & m1)
ans += lg[m] == lg[m1] ? f[m | m2] : -f[m | m2];
}
cout << ans << '\n';
}
}
/** /\_/\
* (= ._.)
* / >0 \>1
**/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 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 |
332 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 |
332 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 |
332 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 |
188 ms |
4288 KB |
Output is correct |
12 |
Correct |
205 ms |
3956 KB |
Output is correct |
13 |
Correct |
217 ms |
3152 KB |
Output is correct |
14 |
Correct |
207 ms |
3268 KB |
Output is correct |
15 |
Correct |
184 ms |
4292 KB |
Output is correct |
16 |
Correct |
220 ms |
3524 KB |
Output is correct |
17 |
Correct |
214 ms |
3432 KB |
Output is correct |
18 |
Correct |
148 ms |
5312 KB |
Output is correct |
19 |
Correct |
176 ms |
2244 KB |
Output is correct |
20 |
Correct |
209 ms |
3944 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 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 |
332 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 |
188 ms |
4288 KB |
Output is correct |
12 |
Correct |
205 ms |
3956 KB |
Output is correct |
13 |
Correct |
217 ms |
3152 KB |
Output is correct |
14 |
Correct |
207 ms |
3268 KB |
Output is correct |
15 |
Correct |
184 ms |
4292 KB |
Output is correct |
16 |
Correct |
220 ms |
3524 KB |
Output is correct |
17 |
Correct |
214 ms |
3432 KB |
Output is correct |
18 |
Correct |
148 ms |
5312 KB |
Output is correct |
19 |
Correct |
176 ms |
2244 KB |
Output is correct |
20 |
Correct |
209 ms |
3944 KB |
Output is correct |
21 |
Correct |
209 ms |
4400 KB |
Output is correct |
22 |
Correct |
221 ms |
4656 KB |
Output is correct |
23 |
Correct |
241 ms |
3528 KB |
Output is correct |
24 |
Correct |
247 ms |
3408 KB |
Output is correct |
25 |
Correct |
211 ms |
5444 KB |
Output is correct |
26 |
Correct |
250 ms |
3932 KB |
Output is correct |
27 |
Correct |
269 ms |
3824 KB |
Output is correct |
28 |
Correct |
155 ms |
6404 KB |
Output is correct |
29 |
Correct |
199 ms |
2404 KB |
Output is correct |
30 |
Correct |
212 ms |
4600 KB |
Output is correct |
31 |
Correct |
271 ms |
4368 KB |
Output is correct |
32 |
Correct |
251 ms |
4472 KB |
Output is correct |
33 |
Correct |
203 ms |
3292 KB |
Output is correct |
34 |
Correct |
295 ms |
3536 KB |
Output is correct |
35 |
Correct |
254 ms |
3832 KB |
Output is correct |
36 |
Correct |
194 ms |
2492 KB |
Output is correct |
37 |
Correct |
195 ms |
4444 KB |
Output is correct |
38 |
Correct |
238 ms |
2408 KB |
Output is correct |
39 |
Correct |
225 ms |
3632 KB |
Output is correct |
40 |
Correct |
263 ms |
3388 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 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 |
332 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 |
42 ms |
14936 KB |
Output is correct |
12 |
Correct |
48 ms |
14952 KB |
Output is correct |
13 |
Correct |
54 ms |
14968 KB |
Output is correct |
14 |
Correct |
54 ms |
14880 KB |
Output is correct |
15 |
Correct |
45 ms |
15060 KB |
Output is correct |
16 |
Correct |
55 ms |
14916 KB |
Output is correct |
17 |
Correct |
58 ms |
14972 KB |
Output is correct |
18 |
Correct |
37 ms |
15192 KB |
Output is correct |
19 |
Correct |
46 ms |
14820 KB |
Output is correct |
20 |
Correct |
62 ms |
14952 KB |
Output is correct |
21 |
Correct |
51 ms |
14964 KB |
Output is correct |
22 |
Correct |
74 ms |
14936 KB |
Output is correct |
23 |
Correct |
45 ms |
14848 KB |
Output is correct |
24 |
Correct |
56 ms |
14924 KB |
Output is correct |
25 |
Correct |
56 ms |
14892 KB |
Output is correct |
26 |
Correct |
38 ms |
14820 KB |
Output is correct |
27 |
Correct |
44 ms |
14996 KB |
Output is correct |
28 |
Correct |
50 ms |
14820 KB |
Output is correct |
29 |
Correct |
63 ms |
14944 KB |
Output is correct |
30 |
Correct |
66 ms |
14976 KB |
Output is correct |
31 |
Correct |
45 ms |
14880 KB |
Output is correct |
32 |
Correct |
69 ms |
14932 KB |
Output is correct |
33 |
Correct |
58 ms |
14936 KB |
Output is correct |
34 |
Correct |
43 ms |
14820 KB |
Output is correct |
35 |
Correct |
54 ms |
14992 KB |
Output is correct |
36 |
Correct |
59 ms |
14948 KB |
Output is correct |
37 |
Correct |
52 ms |
14948 KB |
Output is correct |
38 |
Correct |
52 ms |
14940 KB |
Output is correct |
39 |
Correct |
50 ms |
14948 KB |
Output is correct |
40 |
Correct |
61 ms |
15020 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 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 |
332 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 |
188 ms |
4288 KB |
Output is correct |
12 |
Correct |
205 ms |
3956 KB |
Output is correct |
13 |
Correct |
217 ms |
3152 KB |
Output is correct |
14 |
Correct |
207 ms |
3268 KB |
Output is correct |
15 |
Correct |
184 ms |
4292 KB |
Output is correct |
16 |
Correct |
220 ms |
3524 KB |
Output is correct |
17 |
Correct |
214 ms |
3432 KB |
Output is correct |
18 |
Correct |
148 ms |
5312 KB |
Output is correct |
19 |
Correct |
176 ms |
2244 KB |
Output is correct |
20 |
Correct |
209 ms |
3944 KB |
Output is correct |
21 |
Correct |
209 ms |
4400 KB |
Output is correct |
22 |
Correct |
221 ms |
4656 KB |
Output is correct |
23 |
Correct |
241 ms |
3528 KB |
Output is correct |
24 |
Correct |
247 ms |
3408 KB |
Output is correct |
25 |
Correct |
211 ms |
5444 KB |
Output is correct |
26 |
Correct |
250 ms |
3932 KB |
Output is correct |
27 |
Correct |
269 ms |
3824 KB |
Output is correct |
28 |
Correct |
155 ms |
6404 KB |
Output is correct |
29 |
Correct |
199 ms |
2404 KB |
Output is correct |
30 |
Correct |
212 ms |
4600 KB |
Output is correct |
31 |
Correct |
271 ms |
4368 KB |
Output is correct |
32 |
Correct |
251 ms |
4472 KB |
Output is correct |
33 |
Correct |
203 ms |
3292 KB |
Output is correct |
34 |
Correct |
295 ms |
3536 KB |
Output is correct |
35 |
Correct |
254 ms |
3832 KB |
Output is correct |
36 |
Correct |
194 ms |
2492 KB |
Output is correct |
37 |
Correct |
195 ms |
4444 KB |
Output is correct |
38 |
Correct |
238 ms |
2408 KB |
Output is correct |
39 |
Correct |
225 ms |
3632 KB |
Output is correct |
40 |
Correct |
263 ms |
3388 KB |
Output is correct |
41 |
Correct |
42 ms |
14936 KB |
Output is correct |
42 |
Correct |
48 ms |
14952 KB |
Output is correct |
43 |
Correct |
54 ms |
14968 KB |
Output is correct |
44 |
Correct |
54 ms |
14880 KB |
Output is correct |
45 |
Correct |
45 ms |
15060 KB |
Output is correct |
46 |
Correct |
55 ms |
14916 KB |
Output is correct |
47 |
Correct |
58 ms |
14972 KB |
Output is correct |
48 |
Correct |
37 ms |
15192 KB |
Output is correct |
49 |
Correct |
46 ms |
14820 KB |
Output is correct |
50 |
Correct |
62 ms |
14952 KB |
Output is correct |
51 |
Correct |
51 ms |
14964 KB |
Output is correct |
52 |
Correct |
74 ms |
14936 KB |
Output is correct |
53 |
Correct |
45 ms |
14848 KB |
Output is correct |
54 |
Correct |
56 ms |
14924 KB |
Output is correct |
55 |
Correct |
56 ms |
14892 KB |
Output is correct |
56 |
Correct |
38 ms |
14820 KB |
Output is correct |
57 |
Correct |
44 ms |
14996 KB |
Output is correct |
58 |
Correct |
50 ms |
14820 KB |
Output is correct |
59 |
Correct |
63 ms |
14944 KB |
Output is correct |
60 |
Correct |
66 ms |
14976 KB |
Output is correct |
61 |
Correct |
45 ms |
14880 KB |
Output is correct |
62 |
Correct |
69 ms |
14932 KB |
Output is correct |
63 |
Correct |
58 ms |
14936 KB |
Output is correct |
64 |
Correct |
43 ms |
14820 KB |
Output is correct |
65 |
Correct |
54 ms |
14992 KB |
Output is correct |
66 |
Correct |
59 ms |
14948 KB |
Output is correct |
67 |
Correct |
52 ms |
14948 KB |
Output is correct |
68 |
Correct |
52 ms |
14940 KB |
Output is correct |
69 |
Correct |
50 ms |
14948 KB |
Output is correct |
70 |
Correct |
61 ms |
15020 KB |
Output is correct |
71 |
Correct |
380 ms |
19812 KB |
Output is correct |
72 |
Correct |
350 ms |
19912 KB |
Output is correct |
73 |
Correct |
508 ms |
18404 KB |
Output is correct |
74 |
Correct |
544 ms |
18744 KB |
Output is correct |
75 |
Correct |
312 ms |
20780 KB |
Output is correct |
76 |
Correct |
593 ms |
19072 KB |
Output is correct |
77 |
Correct |
548 ms |
18988 KB |
Output is correct |
78 |
Correct |
230 ms |
22756 KB |
Output is correct |
79 |
Correct |
328 ms |
16708 KB |
Output is correct |
80 |
Correct |
332 ms |
19884 KB |
Output is correct |
81 |
Correct |
424 ms |
19888 KB |
Output is correct |
82 |
Correct |
555 ms |
18880 KB |
Output is correct |
83 |
Correct |
328 ms |
17892 KB |
Output is correct |
84 |
Correct |
561 ms |
18772 KB |
Output is correct |
85 |
Correct |
604 ms |
19064 KB |
Output is correct |
86 |
Correct |
233 ms |
16856 KB |
Output is correct |
87 |
Correct |
318 ms |
19696 KB |
Output is correct |
88 |
Correct |
383 ms |
16740 KB |
Output is correct |
89 |
Correct |
389 ms |
18468 KB |
Output is correct |
90 |
Correct |
463 ms |
18796 KB |
Output is correct |
91 |
Correct |
383 ms |
17936 KB |
Output is correct |
92 |
Correct |
671 ms |
19236 KB |
Output is correct |
93 |
Correct |
602 ms |
19004 KB |
Output is correct |
94 |
Correct |
201 ms |
16700 KB |
Output is correct |
95 |
Correct |
488 ms |
18824 KB |
Output is correct |
96 |
Correct |
544 ms |
18812 KB |
Output is correct |
97 |
Correct |
494 ms |
18864 KB |
Output is correct |
98 |
Correct |
512 ms |
18916 KB |
Output is correct |
99 |
Correct |
579 ms |
18916 KB |
Output is correct |
100 |
Correct |
499 ms |
18820 KB |
Output is correct |