#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;
int pw[20 + 1], lg[N];
int a[N], f[N], g[N]; // f chứa con (1 = 01), g chứa cha (0 = 01)
void prep() {
pw[0] = 1;
for (int i = 1; i <= l; ++i) pw[i] = pw[i - 1] << 1;
for (int msk = 0; msk < pw[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 < pw[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);
for (char c : t) {
m0 <<= 1, m1 <<= 1, m2 <<= 1;
if (c == '0') ++m0;
else if (c == '1') ++m1;
else ++m2;
}
int ans(0);
if (lg[m2] <= l / 3) { // brute ?
for (int m = m2; true; m = (m - 1) & m2) {
ans += a[m | m1];
if (m == 0) break;
}
}
else if (lg[m0] <= l / 3) { // inc-exc 0, dp sos 1 and ? => dùng g
for (int m = m0; true; m = (m - 1) & m0) {
if (lg[m] & 1)
ans -= g[m | m1];
else ans += g[m | m1];
if (m == 0) break;
}
}
else { // inc-exc 1, dp sos 0 and ? => dùng f
for (int m = m1, k = lg[m1] & 1; true; m = (m - 1) & m1) {
if ((lg[m] & 1) == k)
ans += f[m | m2];
else ans -= f[m | m2];
if (m == 0) break;
}
}
cout << ans << '\n';
}
}
/** /\_/\
* (= ._.)
* / >0 \>1
**/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
368 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 |
324 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 |
368 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 |
324 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 |
198 ms |
4876 KB |
Output is correct |
12 |
Correct |
196 ms |
4544 KB |
Output is correct |
13 |
Correct |
219 ms |
3908 KB |
Output is correct |
14 |
Correct |
202 ms |
3780 KB |
Output is correct |
15 |
Correct |
200 ms |
4884 KB |
Output is correct |
16 |
Correct |
223 ms |
4036 KB |
Output is correct |
17 |
Correct |
230 ms |
3924 KB |
Output is correct |
18 |
Correct |
153 ms |
5828 KB |
Output is correct |
19 |
Correct |
183 ms |
2828 KB |
Output is correct |
20 |
Correct |
198 ms |
4492 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
368 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 |
324 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 |
198 ms |
4876 KB |
Output is correct |
12 |
Correct |
196 ms |
4544 KB |
Output is correct |
13 |
Correct |
219 ms |
3908 KB |
Output is correct |
14 |
Correct |
202 ms |
3780 KB |
Output is correct |
15 |
Correct |
200 ms |
4884 KB |
Output is correct |
16 |
Correct |
223 ms |
4036 KB |
Output is correct |
17 |
Correct |
230 ms |
3924 KB |
Output is correct |
18 |
Correct |
153 ms |
5828 KB |
Output is correct |
19 |
Correct |
183 ms |
2828 KB |
Output is correct |
20 |
Correct |
198 ms |
4492 KB |
Output is correct |
21 |
Correct |
209 ms |
5020 KB |
Output is correct |
22 |
Correct |
218 ms |
4936 KB |
Output is correct |
23 |
Correct |
254 ms |
3964 KB |
Output is correct |
24 |
Correct |
254 ms |
3868 KB |
Output is correct |
25 |
Correct |
227 ms |
5812 KB |
Output is correct |
26 |
Correct |
266 ms |
4420 KB |
Output is correct |
27 |
Correct |
261 ms |
4280 KB |
Output is correct |
28 |
Correct |
163 ms |
6832 KB |
Output is correct |
29 |
Correct |
205 ms |
2876 KB |
Output is correct |
30 |
Correct |
225 ms |
4936 KB |
Output is correct |
31 |
Correct |
243 ms |
4884 KB |
Output is correct |
32 |
Correct |
254 ms |
4876 KB |
Output is correct |
33 |
Correct |
222 ms |
3652 KB |
Output is correct |
34 |
Correct |
254 ms |
3816 KB |
Output is correct |
35 |
Correct |
282 ms |
4548 KB |
Output is correct |
36 |
Correct |
178 ms |
2764 KB |
Output is correct |
37 |
Correct |
211 ms |
5024 KB |
Output is correct |
38 |
Correct |
217 ms |
3012 KB |
Output is correct |
39 |
Correct |
235 ms |
4032 KB |
Output is correct |
40 |
Correct |
243 ms |
3792 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
368 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 |
324 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 |
49 ms |
18488 KB |
Output is correct |
12 |
Correct |
55 ms |
18496 KB |
Output is correct |
13 |
Correct |
55 ms |
18380 KB |
Output is correct |
14 |
Correct |
62 ms |
18404 KB |
Output is correct |
15 |
Correct |
53 ms |
18548 KB |
Output is correct |
16 |
Correct |
64 ms |
18552 KB |
Output is correct |
17 |
Correct |
67 ms |
18448 KB |
Output is correct |
18 |
Correct |
45 ms |
18540 KB |
Output is correct |
19 |
Correct |
45 ms |
18276 KB |
Output is correct |
20 |
Correct |
53 ms |
18524 KB |
Output is correct |
21 |
Correct |
55 ms |
18484 KB |
Output is correct |
22 |
Correct |
61 ms |
18404 KB |
Output is correct |
23 |
Correct |
48 ms |
18404 KB |
Output is correct |
24 |
Correct |
62 ms |
18336 KB |
Output is correct |
25 |
Correct |
66 ms |
18372 KB |
Output is correct |
26 |
Correct |
43 ms |
18276 KB |
Output is correct |
27 |
Correct |
50 ms |
18500 KB |
Output is correct |
28 |
Correct |
48 ms |
18252 KB |
Output is correct |
29 |
Correct |
55 ms |
18412 KB |
Output is correct |
30 |
Correct |
58 ms |
18372 KB |
Output is correct |
31 |
Correct |
51 ms |
18324 KB |
Output is correct |
32 |
Correct |
78 ms |
18396 KB |
Output is correct |
33 |
Correct |
72 ms |
18468 KB |
Output is correct |
34 |
Correct |
40 ms |
18296 KB |
Output is correct |
35 |
Correct |
63 ms |
18632 KB |
Output is correct |
36 |
Correct |
60 ms |
18412 KB |
Output is correct |
37 |
Correct |
62 ms |
18384 KB |
Output is correct |
38 |
Correct |
60 ms |
18564 KB |
Output is correct |
39 |
Correct |
60 ms |
18364 KB |
Output is correct |
40 |
Correct |
58 ms |
18364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
368 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 |
324 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 |
198 ms |
4876 KB |
Output is correct |
12 |
Correct |
196 ms |
4544 KB |
Output is correct |
13 |
Correct |
219 ms |
3908 KB |
Output is correct |
14 |
Correct |
202 ms |
3780 KB |
Output is correct |
15 |
Correct |
200 ms |
4884 KB |
Output is correct |
16 |
Correct |
223 ms |
4036 KB |
Output is correct |
17 |
Correct |
230 ms |
3924 KB |
Output is correct |
18 |
Correct |
153 ms |
5828 KB |
Output is correct |
19 |
Correct |
183 ms |
2828 KB |
Output is correct |
20 |
Correct |
198 ms |
4492 KB |
Output is correct |
21 |
Correct |
209 ms |
5020 KB |
Output is correct |
22 |
Correct |
218 ms |
4936 KB |
Output is correct |
23 |
Correct |
254 ms |
3964 KB |
Output is correct |
24 |
Correct |
254 ms |
3868 KB |
Output is correct |
25 |
Correct |
227 ms |
5812 KB |
Output is correct |
26 |
Correct |
266 ms |
4420 KB |
Output is correct |
27 |
Correct |
261 ms |
4280 KB |
Output is correct |
28 |
Correct |
163 ms |
6832 KB |
Output is correct |
29 |
Correct |
205 ms |
2876 KB |
Output is correct |
30 |
Correct |
225 ms |
4936 KB |
Output is correct |
31 |
Correct |
243 ms |
4884 KB |
Output is correct |
32 |
Correct |
254 ms |
4876 KB |
Output is correct |
33 |
Correct |
222 ms |
3652 KB |
Output is correct |
34 |
Correct |
254 ms |
3816 KB |
Output is correct |
35 |
Correct |
282 ms |
4548 KB |
Output is correct |
36 |
Correct |
178 ms |
2764 KB |
Output is correct |
37 |
Correct |
211 ms |
5024 KB |
Output is correct |
38 |
Correct |
217 ms |
3012 KB |
Output is correct |
39 |
Correct |
235 ms |
4032 KB |
Output is correct |
40 |
Correct |
243 ms |
3792 KB |
Output is correct |
41 |
Correct |
49 ms |
18488 KB |
Output is correct |
42 |
Correct |
55 ms |
18496 KB |
Output is correct |
43 |
Correct |
55 ms |
18380 KB |
Output is correct |
44 |
Correct |
62 ms |
18404 KB |
Output is correct |
45 |
Correct |
53 ms |
18548 KB |
Output is correct |
46 |
Correct |
64 ms |
18552 KB |
Output is correct |
47 |
Correct |
67 ms |
18448 KB |
Output is correct |
48 |
Correct |
45 ms |
18540 KB |
Output is correct |
49 |
Correct |
45 ms |
18276 KB |
Output is correct |
50 |
Correct |
53 ms |
18524 KB |
Output is correct |
51 |
Correct |
55 ms |
18484 KB |
Output is correct |
52 |
Correct |
61 ms |
18404 KB |
Output is correct |
53 |
Correct |
48 ms |
18404 KB |
Output is correct |
54 |
Correct |
62 ms |
18336 KB |
Output is correct |
55 |
Correct |
66 ms |
18372 KB |
Output is correct |
56 |
Correct |
43 ms |
18276 KB |
Output is correct |
57 |
Correct |
50 ms |
18500 KB |
Output is correct |
58 |
Correct |
48 ms |
18252 KB |
Output is correct |
59 |
Correct |
55 ms |
18412 KB |
Output is correct |
60 |
Correct |
58 ms |
18372 KB |
Output is correct |
61 |
Correct |
51 ms |
18324 KB |
Output is correct |
62 |
Correct |
78 ms |
18396 KB |
Output is correct |
63 |
Correct |
72 ms |
18468 KB |
Output is correct |
64 |
Correct |
40 ms |
18296 KB |
Output is correct |
65 |
Correct |
63 ms |
18632 KB |
Output is correct |
66 |
Correct |
60 ms |
18412 KB |
Output is correct |
67 |
Correct |
62 ms |
18384 KB |
Output is correct |
68 |
Correct |
60 ms |
18564 KB |
Output is correct |
69 |
Correct |
60 ms |
18364 KB |
Output is correct |
70 |
Correct |
58 ms |
18364 KB |
Output is correct |
71 |
Correct |
362 ms |
23280 KB |
Output is correct |
72 |
Correct |
397 ms |
23144 KB |
Output is correct |
73 |
Correct |
449 ms |
21604 KB |
Output is correct |
74 |
Correct |
557 ms |
21948 KB |
Output is correct |
75 |
Correct |
361 ms |
24064 KB |
Output is correct |
76 |
Correct |
681 ms |
22392 KB |
Output is correct |
77 |
Correct |
665 ms |
22212 KB |
Output is correct |
78 |
Correct |
220 ms |
25956 KB |
Output is correct |
79 |
Correct |
312 ms |
19908 KB |
Output is correct |
80 |
Correct |
410 ms |
23208 KB |
Output is correct |
81 |
Correct |
520 ms |
23036 KB |
Output is correct |
82 |
Correct |
590 ms |
22036 KB |
Output is correct |
83 |
Correct |
340 ms |
21220 KB |
Output is correct |
84 |
Correct |
482 ms |
23972 KB |
Output is correct |
85 |
Correct |
635 ms |
24176 KB |
Output is correct |
86 |
Correct |
232 ms |
21988 KB |
Output is correct |
87 |
Correct |
367 ms |
24924 KB |
Output is correct |
88 |
Correct |
332 ms |
22068 KB |
Output is correct |
89 |
Correct |
470 ms |
23800 KB |
Output is correct |
90 |
Correct |
454 ms |
23972 KB |
Output is correct |
91 |
Correct |
353 ms |
23064 KB |
Output is correct |
92 |
Correct |
723 ms |
24272 KB |
Output is correct |
93 |
Correct |
652 ms |
24164 KB |
Output is correct |
94 |
Correct |
214 ms |
21912 KB |
Output is correct |
95 |
Correct |
556 ms |
24088 KB |
Output is correct |
96 |
Correct |
549 ms |
24036 KB |
Output is correct |
97 |
Correct |
570 ms |
23928 KB |
Output is correct |
98 |
Correct |
554 ms |
24144 KB |
Output is correct |
99 |
Correct |
554 ms |
23908 KB |
Output is correct |
100 |
Correct |
572 ms |
23952 KB |
Output is correct |