#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 ?
ans = a[m1];
for (int m = m2; m; m = (m - 1) & m2)
ans += a[m | m1];
}
else if (lg[m0] <= 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] & 1 ? -g[m | m1] : g[m | m1];
}
else { // inc-exc 1, dp sos 0 and ? => dùng f
ans = lg[m1] & 1 ? -f[m2] : f[m2];
for (int m = m1, k = lg[m1] & 1; m; m = (m - 1) & m1)
ans += (lg[m] & 1) == k ? 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 |
0 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 |
0 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 |
180 ms |
4296 KB |
Output is correct |
12 |
Correct |
193 ms |
3912 KB |
Output is correct |
13 |
Correct |
215 ms |
3228 KB |
Output is correct |
14 |
Correct |
209 ms |
3340 KB |
Output is correct |
15 |
Correct |
185 ms |
4268 KB |
Output is correct |
16 |
Correct |
270 ms |
3440 KB |
Output is correct |
17 |
Correct |
240 ms |
3496 KB |
Output is correct |
18 |
Correct |
160 ms |
5316 KB |
Output is correct |
19 |
Correct |
171 ms |
2272 KB |
Output is correct |
20 |
Correct |
239 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 |
0 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 |
180 ms |
4296 KB |
Output is correct |
12 |
Correct |
193 ms |
3912 KB |
Output is correct |
13 |
Correct |
215 ms |
3228 KB |
Output is correct |
14 |
Correct |
209 ms |
3340 KB |
Output is correct |
15 |
Correct |
185 ms |
4268 KB |
Output is correct |
16 |
Correct |
270 ms |
3440 KB |
Output is correct |
17 |
Correct |
240 ms |
3496 KB |
Output is correct |
18 |
Correct |
160 ms |
5316 KB |
Output is correct |
19 |
Correct |
171 ms |
2272 KB |
Output is correct |
20 |
Correct |
239 ms |
4112 KB |
Output is correct |
21 |
Correct |
199 ms |
4372 KB |
Output is correct |
22 |
Correct |
245 ms |
4676 KB |
Output is correct |
23 |
Correct |
256 ms |
3652 KB |
Output is correct |
24 |
Correct |
246 ms |
3392 KB |
Output is correct |
25 |
Correct |
216 ms |
5424 KB |
Output is correct |
26 |
Correct |
258 ms |
3896 KB |
Output is correct |
27 |
Correct |
255 ms |
3908 KB |
Output is correct |
28 |
Correct |
151 ms |
6384 KB |
Output is correct |
29 |
Correct |
195 ms |
2380 KB |
Output is correct |
30 |
Correct |
215 ms |
4608 KB |
Output is correct |
31 |
Correct |
249 ms |
4420 KB |
Output is correct |
32 |
Correct |
244 ms |
4412 KB |
Output is correct |
33 |
Correct |
225 ms |
3428 KB |
Output is correct |
34 |
Correct |
248 ms |
3396 KB |
Output is correct |
35 |
Correct |
265 ms |
3828 KB |
Output is correct |
36 |
Correct |
172 ms |
2380 KB |
Output is correct |
37 |
Correct |
210 ms |
4636 KB |
Output is correct |
38 |
Correct |
202 ms |
2404 KB |
Output is correct |
39 |
Correct |
230 ms |
3552 KB |
Output is correct |
40 |
Correct |
239 ms |
3484 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 |
0 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 |
48 ms |
18044 KB |
Output is correct |
12 |
Correct |
50 ms |
18076 KB |
Output is correct |
13 |
Correct |
53 ms |
18032 KB |
Output is correct |
14 |
Correct |
70 ms |
18020 KB |
Output is correct |
15 |
Correct |
61 ms |
18136 KB |
Output is correct |
16 |
Correct |
69 ms |
18012 KB |
Output is correct |
17 |
Correct |
59 ms |
18016 KB |
Output is correct |
18 |
Correct |
43 ms |
18276 KB |
Output is correct |
19 |
Correct |
45 ms |
17872 KB |
Output is correct |
20 |
Correct |
55 ms |
18060 KB |
Output is correct |
21 |
Correct |
72 ms |
18016 KB |
Output is correct |
22 |
Correct |
79 ms |
18020 KB |
Output is correct |
23 |
Correct |
55 ms |
17924 KB |
Output is correct |
24 |
Correct |
63 ms |
18144 KB |
Output is correct |
25 |
Correct |
68 ms |
18020 KB |
Output is correct |
26 |
Correct |
43 ms |
17888 KB |
Output is correct |
27 |
Correct |
51 ms |
18008 KB |
Output is correct |
28 |
Correct |
49 ms |
17896 KB |
Output is correct |
29 |
Correct |
49 ms |
18020 KB |
Output is correct |
30 |
Correct |
52 ms |
18008 KB |
Output is correct |
31 |
Correct |
46 ms |
18004 KB |
Output is correct |
32 |
Correct |
63 ms |
18004 KB |
Output is correct |
33 |
Correct |
65 ms |
18264 KB |
Output is correct |
34 |
Correct |
40 ms |
17892 KB |
Output is correct |
35 |
Correct |
57 ms |
18020 KB |
Output is correct |
36 |
Correct |
57 ms |
18016 KB |
Output is correct |
37 |
Correct |
55 ms |
18012 KB |
Output is correct |
38 |
Correct |
61 ms |
18164 KB |
Output is correct |
39 |
Correct |
56 ms |
18000 KB |
Output is correct |
40 |
Correct |
54 ms |
18020 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 |
0 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 |
180 ms |
4296 KB |
Output is correct |
12 |
Correct |
193 ms |
3912 KB |
Output is correct |
13 |
Correct |
215 ms |
3228 KB |
Output is correct |
14 |
Correct |
209 ms |
3340 KB |
Output is correct |
15 |
Correct |
185 ms |
4268 KB |
Output is correct |
16 |
Correct |
270 ms |
3440 KB |
Output is correct |
17 |
Correct |
240 ms |
3496 KB |
Output is correct |
18 |
Correct |
160 ms |
5316 KB |
Output is correct |
19 |
Correct |
171 ms |
2272 KB |
Output is correct |
20 |
Correct |
239 ms |
4112 KB |
Output is correct |
21 |
Correct |
199 ms |
4372 KB |
Output is correct |
22 |
Correct |
245 ms |
4676 KB |
Output is correct |
23 |
Correct |
256 ms |
3652 KB |
Output is correct |
24 |
Correct |
246 ms |
3392 KB |
Output is correct |
25 |
Correct |
216 ms |
5424 KB |
Output is correct |
26 |
Correct |
258 ms |
3896 KB |
Output is correct |
27 |
Correct |
255 ms |
3908 KB |
Output is correct |
28 |
Correct |
151 ms |
6384 KB |
Output is correct |
29 |
Correct |
195 ms |
2380 KB |
Output is correct |
30 |
Correct |
215 ms |
4608 KB |
Output is correct |
31 |
Correct |
249 ms |
4420 KB |
Output is correct |
32 |
Correct |
244 ms |
4412 KB |
Output is correct |
33 |
Correct |
225 ms |
3428 KB |
Output is correct |
34 |
Correct |
248 ms |
3396 KB |
Output is correct |
35 |
Correct |
265 ms |
3828 KB |
Output is correct |
36 |
Correct |
172 ms |
2380 KB |
Output is correct |
37 |
Correct |
210 ms |
4636 KB |
Output is correct |
38 |
Correct |
202 ms |
2404 KB |
Output is correct |
39 |
Correct |
230 ms |
3552 KB |
Output is correct |
40 |
Correct |
239 ms |
3484 KB |
Output is correct |
41 |
Correct |
48 ms |
18044 KB |
Output is correct |
42 |
Correct |
50 ms |
18076 KB |
Output is correct |
43 |
Correct |
53 ms |
18032 KB |
Output is correct |
44 |
Correct |
70 ms |
18020 KB |
Output is correct |
45 |
Correct |
61 ms |
18136 KB |
Output is correct |
46 |
Correct |
69 ms |
18012 KB |
Output is correct |
47 |
Correct |
59 ms |
18016 KB |
Output is correct |
48 |
Correct |
43 ms |
18276 KB |
Output is correct |
49 |
Correct |
45 ms |
17872 KB |
Output is correct |
50 |
Correct |
55 ms |
18060 KB |
Output is correct |
51 |
Correct |
72 ms |
18016 KB |
Output is correct |
52 |
Correct |
79 ms |
18020 KB |
Output is correct |
53 |
Correct |
55 ms |
17924 KB |
Output is correct |
54 |
Correct |
63 ms |
18144 KB |
Output is correct |
55 |
Correct |
68 ms |
18020 KB |
Output is correct |
56 |
Correct |
43 ms |
17888 KB |
Output is correct |
57 |
Correct |
51 ms |
18008 KB |
Output is correct |
58 |
Correct |
49 ms |
17896 KB |
Output is correct |
59 |
Correct |
49 ms |
18020 KB |
Output is correct |
60 |
Correct |
52 ms |
18008 KB |
Output is correct |
61 |
Correct |
46 ms |
18004 KB |
Output is correct |
62 |
Correct |
63 ms |
18004 KB |
Output is correct |
63 |
Correct |
65 ms |
18264 KB |
Output is correct |
64 |
Correct |
40 ms |
17892 KB |
Output is correct |
65 |
Correct |
57 ms |
18020 KB |
Output is correct |
66 |
Correct |
57 ms |
18016 KB |
Output is correct |
67 |
Correct |
55 ms |
18012 KB |
Output is correct |
68 |
Correct |
61 ms |
18164 KB |
Output is correct |
69 |
Correct |
56 ms |
18000 KB |
Output is correct |
70 |
Correct |
54 ms |
18020 KB |
Output is correct |
71 |
Correct |
389 ms |
22864 KB |
Output is correct |
72 |
Correct |
417 ms |
22964 KB |
Output is correct |
73 |
Correct |
474 ms |
21600 KB |
Output is correct |
74 |
Correct |
580 ms |
21992 KB |
Output is correct |
75 |
Correct |
341 ms |
23796 KB |
Output is correct |
76 |
Correct |
639 ms |
22108 KB |
Output is correct |
77 |
Correct |
642 ms |
22048 KB |
Output is correct |
78 |
Correct |
230 ms |
25904 KB |
Output is correct |
79 |
Correct |
308 ms |
19940 KB |
Output is correct |
80 |
Correct |
380 ms |
23016 KB |
Output is correct |
81 |
Correct |
512 ms |
22884 KB |
Output is correct |
82 |
Correct |
569 ms |
22040 KB |
Output is correct |
83 |
Correct |
328 ms |
20964 KB |
Output is correct |
84 |
Correct |
494 ms |
21972 KB |
Output is correct |
85 |
Correct |
622 ms |
22068 KB |
Output is correct |
86 |
Correct |
225 ms |
19940 KB |
Output is correct |
87 |
Correct |
324 ms |
22844 KB |
Output is correct |
88 |
Correct |
333 ms |
19828 KB |
Output is correct |
89 |
Correct |
429 ms |
21488 KB |
Output is correct |
90 |
Correct |
506 ms |
21840 KB |
Output is correct |
91 |
Correct |
360 ms |
21072 KB |
Output is correct |
92 |
Correct |
711 ms |
22332 KB |
Output is correct |
93 |
Correct |
628 ms |
22068 KB |
Output is correct |
94 |
Correct |
198 ms |
19804 KB |
Output is correct |
95 |
Correct |
543 ms |
21968 KB |
Output is correct |
96 |
Correct |
551 ms |
22088 KB |
Output is correct |
97 |
Correct |
548 ms |
22004 KB |
Output is correct |
98 |
Correct |
543 ms |
21960 KB |
Output is correct |
99 |
Correct |
572 ms |
21904 KB |
Output is correct |
100 |
Correct |
551 ms |
21860 KB |
Output is correct |