#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() {
for (int msk = 0; msk < (1 << l); ++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 < (1 << l); ++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), cnt2(0);
for (char c : t) {
m0 <<= 1, m1 <<= 1, m2 <<= 1;
if (c == '0') ++m0, ++cnt0;
else if (c == '1') ++m1;
else ++m2, ++cnt2;
}
int ans(0);
if (cnt2 <= l / 3) { // brute ?
ans = a[m1];
for (int m = m2; m; m = (m - 1) & m2)
ans += a[m | m1];
}
else if (cnt0 <= l / 3) { // 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 |
181 ms |
4288 KB |
Output is correct |
12 |
Correct |
212 ms |
4024 KB |
Output is correct |
13 |
Correct |
208 ms |
3268 KB |
Output is correct |
14 |
Correct |
219 ms |
3276 KB |
Output is correct |
15 |
Correct |
189 ms |
4260 KB |
Output is correct |
16 |
Correct |
224 ms |
3416 KB |
Output is correct |
17 |
Correct |
221 ms |
3416 KB |
Output is correct |
18 |
Correct |
158 ms |
5332 KB |
Output is correct |
19 |
Correct |
188 ms |
2356 KB |
Output is correct |
20 |
Correct |
215 ms |
4112 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 |
181 ms |
4288 KB |
Output is correct |
12 |
Correct |
212 ms |
4024 KB |
Output is correct |
13 |
Correct |
208 ms |
3268 KB |
Output is correct |
14 |
Correct |
219 ms |
3276 KB |
Output is correct |
15 |
Correct |
189 ms |
4260 KB |
Output is correct |
16 |
Correct |
224 ms |
3416 KB |
Output is correct |
17 |
Correct |
221 ms |
3416 KB |
Output is correct |
18 |
Correct |
158 ms |
5332 KB |
Output is correct |
19 |
Correct |
188 ms |
2356 KB |
Output is correct |
20 |
Correct |
215 ms |
4112 KB |
Output is correct |
21 |
Correct |
213 ms |
4396 KB |
Output is correct |
22 |
Correct |
262 ms |
4528 KB |
Output is correct |
23 |
Correct |
252 ms |
3580 KB |
Output is correct |
24 |
Correct |
278 ms |
3396 KB |
Output is correct |
25 |
Correct |
217 ms |
5384 KB |
Output is correct |
26 |
Correct |
251 ms |
3908 KB |
Output is correct |
27 |
Correct |
287 ms |
3808 KB |
Output is correct |
28 |
Correct |
152 ms |
6460 KB |
Output is correct |
29 |
Correct |
209 ms |
2340 KB |
Output is correct |
30 |
Correct |
214 ms |
4620 KB |
Output is correct |
31 |
Correct |
244 ms |
4420 KB |
Output is correct |
32 |
Correct |
238 ms |
4400 KB |
Output is correct |
33 |
Correct |
235 ms |
3256 KB |
Output is correct |
34 |
Correct |
254 ms |
3476 KB |
Output is correct |
35 |
Correct |
270 ms |
3920 KB |
Output is correct |
36 |
Correct |
163 ms |
2424 KB |
Output is correct |
37 |
Correct |
205 ms |
4408 KB |
Output is correct |
38 |
Correct |
211 ms |
2432 KB |
Output is correct |
39 |
Correct |
245 ms |
3592 KB |
Output is correct |
40 |
Correct |
243 ms |
3460 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 |
45 ms |
14948 KB |
Output is correct |
12 |
Correct |
56 ms |
15064 KB |
Output is correct |
13 |
Correct |
47 ms |
14944 KB |
Output is correct |
14 |
Correct |
50 ms |
14932 KB |
Output is correct |
15 |
Correct |
44 ms |
15064 KB |
Output is correct |
16 |
Correct |
56 ms |
14996 KB |
Output is correct |
17 |
Correct |
81 ms |
14952 KB |
Output is correct |
18 |
Correct |
40 ms |
15176 KB |
Output is correct |
19 |
Correct |
44 ms |
14840 KB |
Output is correct |
20 |
Correct |
43 ms |
14936 KB |
Output is correct |
21 |
Correct |
48 ms |
14940 KB |
Output is correct |
22 |
Correct |
57 ms |
14920 KB |
Output is correct |
23 |
Correct |
49 ms |
14948 KB |
Output is correct |
24 |
Correct |
50 ms |
14956 KB |
Output is correct |
25 |
Correct |
57 ms |
14928 KB |
Output is correct |
26 |
Correct |
38 ms |
14876 KB |
Output is correct |
27 |
Correct |
43 ms |
14936 KB |
Output is correct |
28 |
Correct |
44 ms |
14816 KB |
Output is correct |
29 |
Correct |
46 ms |
14940 KB |
Output is correct |
30 |
Correct |
58 ms |
14948 KB |
Output is correct |
31 |
Correct |
45 ms |
14936 KB |
Output is correct |
32 |
Correct |
61 ms |
14912 KB |
Output is correct |
33 |
Correct |
59 ms |
14952 KB |
Output is correct |
34 |
Correct |
37 ms |
14808 KB |
Output is correct |
35 |
Correct |
51 ms |
15044 KB |
Output is correct |
36 |
Correct |
54 ms |
14944 KB |
Output is correct |
37 |
Correct |
58 ms |
14900 KB |
Output is correct |
38 |
Correct |
60 ms |
14952 KB |
Output is correct |
39 |
Correct |
59 ms |
14980 KB |
Output is correct |
40 |
Correct |
51 ms |
14932 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 |
181 ms |
4288 KB |
Output is correct |
12 |
Correct |
212 ms |
4024 KB |
Output is correct |
13 |
Correct |
208 ms |
3268 KB |
Output is correct |
14 |
Correct |
219 ms |
3276 KB |
Output is correct |
15 |
Correct |
189 ms |
4260 KB |
Output is correct |
16 |
Correct |
224 ms |
3416 KB |
Output is correct |
17 |
Correct |
221 ms |
3416 KB |
Output is correct |
18 |
Correct |
158 ms |
5332 KB |
Output is correct |
19 |
Correct |
188 ms |
2356 KB |
Output is correct |
20 |
Correct |
215 ms |
4112 KB |
Output is correct |
21 |
Correct |
213 ms |
4396 KB |
Output is correct |
22 |
Correct |
262 ms |
4528 KB |
Output is correct |
23 |
Correct |
252 ms |
3580 KB |
Output is correct |
24 |
Correct |
278 ms |
3396 KB |
Output is correct |
25 |
Correct |
217 ms |
5384 KB |
Output is correct |
26 |
Correct |
251 ms |
3908 KB |
Output is correct |
27 |
Correct |
287 ms |
3808 KB |
Output is correct |
28 |
Correct |
152 ms |
6460 KB |
Output is correct |
29 |
Correct |
209 ms |
2340 KB |
Output is correct |
30 |
Correct |
214 ms |
4620 KB |
Output is correct |
31 |
Correct |
244 ms |
4420 KB |
Output is correct |
32 |
Correct |
238 ms |
4400 KB |
Output is correct |
33 |
Correct |
235 ms |
3256 KB |
Output is correct |
34 |
Correct |
254 ms |
3476 KB |
Output is correct |
35 |
Correct |
270 ms |
3920 KB |
Output is correct |
36 |
Correct |
163 ms |
2424 KB |
Output is correct |
37 |
Correct |
205 ms |
4408 KB |
Output is correct |
38 |
Correct |
211 ms |
2432 KB |
Output is correct |
39 |
Correct |
245 ms |
3592 KB |
Output is correct |
40 |
Correct |
243 ms |
3460 KB |
Output is correct |
41 |
Correct |
45 ms |
14948 KB |
Output is correct |
42 |
Correct |
56 ms |
15064 KB |
Output is correct |
43 |
Correct |
47 ms |
14944 KB |
Output is correct |
44 |
Correct |
50 ms |
14932 KB |
Output is correct |
45 |
Correct |
44 ms |
15064 KB |
Output is correct |
46 |
Correct |
56 ms |
14996 KB |
Output is correct |
47 |
Correct |
81 ms |
14952 KB |
Output is correct |
48 |
Correct |
40 ms |
15176 KB |
Output is correct |
49 |
Correct |
44 ms |
14840 KB |
Output is correct |
50 |
Correct |
43 ms |
14936 KB |
Output is correct |
51 |
Correct |
48 ms |
14940 KB |
Output is correct |
52 |
Correct |
57 ms |
14920 KB |
Output is correct |
53 |
Correct |
49 ms |
14948 KB |
Output is correct |
54 |
Correct |
50 ms |
14956 KB |
Output is correct |
55 |
Correct |
57 ms |
14928 KB |
Output is correct |
56 |
Correct |
38 ms |
14876 KB |
Output is correct |
57 |
Correct |
43 ms |
14936 KB |
Output is correct |
58 |
Correct |
44 ms |
14816 KB |
Output is correct |
59 |
Correct |
46 ms |
14940 KB |
Output is correct |
60 |
Correct |
58 ms |
14948 KB |
Output is correct |
61 |
Correct |
45 ms |
14936 KB |
Output is correct |
62 |
Correct |
61 ms |
14912 KB |
Output is correct |
63 |
Correct |
59 ms |
14952 KB |
Output is correct |
64 |
Correct |
37 ms |
14808 KB |
Output is correct |
65 |
Correct |
51 ms |
15044 KB |
Output is correct |
66 |
Correct |
54 ms |
14944 KB |
Output is correct |
67 |
Correct |
58 ms |
14900 KB |
Output is correct |
68 |
Correct |
60 ms |
14952 KB |
Output is correct |
69 |
Correct |
59 ms |
14980 KB |
Output is correct |
70 |
Correct |
51 ms |
14932 KB |
Output is correct |
71 |
Correct |
355 ms |
19820 KB |
Output is correct |
72 |
Correct |
358 ms |
19892 KB |
Output is correct |
73 |
Correct |
419 ms |
18392 KB |
Output is correct |
74 |
Correct |
504 ms |
18788 KB |
Output is correct |
75 |
Correct |
420 ms |
20720 KB |
Output is correct |
76 |
Correct |
722 ms |
19116 KB |
Output is correct |
77 |
Correct |
638 ms |
18984 KB |
Output is correct |
78 |
Correct |
224 ms |
23008 KB |
Output is correct |
79 |
Correct |
340 ms |
16736 KB |
Output is correct |
80 |
Correct |
374 ms |
19944 KB |
Output is correct |
81 |
Correct |
448 ms |
19716 KB |
Output is correct |
82 |
Correct |
510 ms |
18812 KB |
Output is correct |
83 |
Correct |
313 ms |
17892 KB |
Output is correct |
84 |
Correct |
499 ms |
18860 KB |
Output is correct |
85 |
Correct |
584 ms |
18940 KB |
Output is correct |
86 |
Correct |
233 ms |
16732 KB |
Output is correct |
87 |
Correct |
339 ms |
19704 KB |
Output is correct |
88 |
Correct |
319 ms |
16808 KB |
Output is correct |
89 |
Correct |
456 ms |
18392 KB |
Output is correct |
90 |
Correct |
512 ms |
18728 KB |
Output is correct |
91 |
Correct |
413 ms |
17996 KB |
Output is correct |
92 |
Correct |
673 ms |
19032 KB |
Output is correct |
93 |
Correct |
602 ms |
18932 KB |
Output is correct |
94 |
Correct |
208 ms |
16856 KB |
Output is correct |
95 |
Correct |
543 ms |
18924 KB |
Output is correct |
96 |
Correct |
558 ms |
18864 KB |
Output is correct |
97 |
Correct |
517 ms |
18856 KB |
Output is correct |
98 |
Correct |
496 ms |
18848 KB |
Output is correct |
99 |
Correct |
489 ms |
18804 KB |
Output is correct |
100 |
Correct |
506 ms |
18836 KB |
Output is correct |