#pragma GCC optimize("O3,no-stack-protector,unroll-loops")
#pragma GCC target("avx2,fma")
#include <bits/stdc++.h>
using namespace std;
#define cerr cerr << "DEBUG "
constexpr int N = (1 << 20) + 10;
int a[N], f[N], g[N], h[N];
int n, m;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n >> m;
for (int i = 0; i < (1 << n); ++i) {
char c;
cin >> c;
a[i] = c - '0';
}
int comp = (1 << n) - 1;
for (int i = 0; i < (1 << n); ++i) {
f[i] = g[i ^ comp] = a[i];
}
for (int i = 0; i < n; ++i) {
for (int mask = 0; mask < (1 << n); ++mask) {
if ((mask >> i) & 1) {
f[mask] += f[mask ^ (1 << i)];
g[mask] += g[mask ^ (1 << i)];
}
}
}
for (int i = 0; i < (1 << n); ++i) {
h[i] = g[i ^ comp];
}
while (m--) {
string s;
cin >> s;
int cnt0 = 0, cnt1 = 0, num = 0, numm = 0;
reverse(s.begin(), s.end());
vector<int> idx[3];
fill(idx, idx + 3, vector<int>());
for (int i = 0; i < n; ++i) {
cnt0 += s[i] == '0';
cnt1 += s[i] == '1';
if (s[i] == '1') {
idx[1].push_back(i);
num += (1 << i);
numm += (1 << i);
}
if (s[i] == '?') {
idx[2].push_back(i);
numm += (1 << i);
}
if (s[i] == '0') {
idx[0].push_back(i);
}
}
int sum = 0;
if (cnt1 <= 6) {
for (int mask = 0; mask < (1 << cnt1); ++mask) {
int num2 = numm;
for (int i = 0; i < (int) idx[1].size(); ++i) {
num2 ^= ((mask >> i) & 1) << idx[1][i];
}
sum += (__builtin_parity(mask) ? -1 : +1) * f[num2];
}
} else if (n - cnt0 - cnt1 <= 6) {
int cnt = n - cnt0 - cnt1;
for (int mask = 0; mask < (1 << cnt); ++mask) {
int num2 = num;
for (int i = 0; i < (int) idx[2].size(); ++i) {
num2 ^= ((mask >> i) & 1) << idx[2][i];
}
sum += a[num2];
}
} else {
for (int mask = 0; mask < (1 << cnt0); ++mask) {
int num2 = num;
for (int i = 0; i < (int) idx[0].size(); ++i) {
num2 ^= ((mask >> i) & 1) << idx[0][i];
}
sum += (__builtin_parity(mask) ? -1 : +1) * h[num2];
}
}
cout << sum << '\n';
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
372 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
2 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
372 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
2 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
656 ms |
4300 KB |
Output is correct |
12 |
Correct |
455 ms |
4036 KB |
Output is correct |
13 |
Correct |
548 ms |
3268 KB |
Output is correct |
14 |
Correct |
558 ms |
3444 KB |
Output is correct |
15 |
Correct |
493 ms |
4336 KB |
Output is correct |
16 |
Correct |
601 ms |
3636 KB |
Output is correct |
17 |
Correct |
624 ms |
3444 KB |
Output is correct |
18 |
Correct |
308 ms |
5380 KB |
Output is correct |
19 |
Correct |
602 ms |
2336 KB |
Output is correct |
20 |
Correct |
606 ms |
4172 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
372 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
2 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
656 ms |
4300 KB |
Output is correct |
12 |
Correct |
455 ms |
4036 KB |
Output is correct |
13 |
Correct |
548 ms |
3268 KB |
Output is correct |
14 |
Correct |
558 ms |
3444 KB |
Output is correct |
15 |
Correct |
493 ms |
4336 KB |
Output is correct |
16 |
Correct |
601 ms |
3636 KB |
Output is correct |
17 |
Correct |
624 ms |
3444 KB |
Output is correct |
18 |
Correct |
308 ms |
5380 KB |
Output is correct |
19 |
Correct |
602 ms |
2336 KB |
Output is correct |
20 |
Correct |
606 ms |
4172 KB |
Output is correct |
21 |
Correct |
886 ms |
4428 KB |
Output is correct |
22 |
Correct |
521 ms |
4588 KB |
Output is correct |
23 |
Correct |
672 ms |
3568 KB |
Output is correct |
24 |
Correct |
704 ms |
3628 KB |
Output is correct |
25 |
Correct |
561 ms |
5560 KB |
Output is correct |
26 |
Correct |
729 ms |
3912 KB |
Output is correct |
27 |
Correct |
723 ms |
3964 KB |
Output is correct |
28 |
Correct |
329 ms |
6556 KB |
Output is correct |
29 |
Correct |
489 ms |
2460 KB |
Output is correct |
30 |
Correct |
712 ms |
4552 KB |
Output is correct |
31 |
Correct |
673 ms |
4468 KB |
Output is correct |
32 |
Correct |
723 ms |
4452 KB |
Output is correct |
33 |
Correct |
569 ms |
3276 KB |
Output is correct |
34 |
Correct |
722 ms |
3508 KB |
Output is correct |
35 |
Correct |
736 ms |
3908 KB |
Output is correct |
36 |
Correct |
336 ms |
2368 KB |
Output is correct |
37 |
Correct |
506 ms |
4392 KB |
Output is correct |
38 |
Correct |
621 ms |
2420 KB |
Output is correct |
39 |
Correct |
960 ms |
3644 KB |
Output is correct |
40 |
Correct |
743 ms |
3380 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
372 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
2 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
81 ms |
17012 KB |
Output is correct |
12 |
Correct |
78 ms |
16900 KB |
Output is correct |
13 |
Correct |
114 ms |
16856 KB |
Output is correct |
14 |
Correct |
105 ms |
16972 KB |
Output is correct |
15 |
Correct |
76 ms |
17012 KB |
Output is correct |
16 |
Correct |
122 ms |
16840 KB |
Output is correct |
17 |
Correct |
108 ms |
16876 KB |
Output is correct |
18 |
Correct |
56 ms |
17060 KB |
Output is correct |
19 |
Correct |
74 ms |
16788 KB |
Output is correct |
20 |
Correct |
73 ms |
16952 KB |
Output is correct |
21 |
Correct |
86 ms |
16860 KB |
Output is correct |
22 |
Correct |
97 ms |
16844 KB |
Output is correct |
23 |
Correct |
82 ms |
16852 KB |
Output is correct |
24 |
Correct |
115 ms |
16852 KB |
Output is correct |
25 |
Correct |
108 ms |
16908 KB |
Output is correct |
26 |
Correct |
55 ms |
16724 KB |
Output is correct |
27 |
Correct |
72 ms |
16864 KB |
Output is correct |
28 |
Correct |
72 ms |
16728 KB |
Output is correct |
29 |
Correct |
87 ms |
16856 KB |
Output is correct |
30 |
Correct |
123 ms |
16824 KB |
Output is correct |
31 |
Correct |
74 ms |
16844 KB |
Output is correct |
32 |
Correct |
105 ms |
16868 KB |
Output is correct |
33 |
Correct |
119 ms |
16856 KB |
Output is correct |
34 |
Correct |
65 ms |
16716 KB |
Output is correct |
35 |
Correct |
112 ms |
16844 KB |
Output is correct |
36 |
Correct |
97 ms |
16848 KB |
Output is correct |
37 |
Correct |
96 ms |
16896 KB |
Output is correct |
38 |
Correct |
98 ms |
16856 KB |
Output is correct |
39 |
Correct |
98 ms |
16892 KB |
Output is correct |
40 |
Correct |
96 ms |
16876 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
372 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
2 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
656 ms |
4300 KB |
Output is correct |
12 |
Correct |
455 ms |
4036 KB |
Output is correct |
13 |
Correct |
548 ms |
3268 KB |
Output is correct |
14 |
Correct |
558 ms |
3444 KB |
Output is correct |
15 |
Correct |
493 ms |
4336 KB |
Output is correct |
16 |
Correct |
601 ms |
3636 KB |
Output is correct |
17 |
Correct |
624 ms |
3444 KB |
Output is correct |
18 |
Correct |
308 ms |
5380 KB |
Output is correct |
19 |
Correct |
602 ms |
2336 KB |
Output is correct |
20 |
Correct |
606 ms |
4172 KB |
Output is correct |
21 |
Correct |
886 ms |
4428 KB |
Output is correct |
22 |
Correct |
521 ms |
4588 KB |
Output is correct |
23 |
Correct |
672 ms |
3568 KB |
Output is correct |
24 |
Correct |
704 ms |
3628 KB |
Output is correct |
25 |
Correct |
561 ms |
5560 KB |
Output is correct |
26 |
Correct |
729 ms |
3912 KB |
Output is correct |
27 |
Correct |
723 ms |
3964 KB |
Output is correct |
28 |
Correct |
329 ms |
6556 KB |
Output is correct |
29 |
Correct |
489 ms |
2460 KB |
Output is correct |
30 |
Correct |
712 ms |
4552 KB |
Output is correct |
31 |
Correct |
673 ms |
4468 KB |
Output is correct |
32 |
Correct |
723 ms |
4452 KB |
Output is correct |
33 |
Correct |
569 ms |
3276 KB |
Output is correct |
34 |
Correct |
722 ms |
3508 KB |
Output is correct |
35 |
Correct |
736 ms |
3908 KB |
Output is correct |
36 |
Correct |
336 ms |
2368 KB |
Output is correct |
37 |
Correct |
506 ms |
4392 KB |
Output is correct |
38 |
Correct |
621 ms |
2420 KB |
Output is correct |
39 |
Correct |
960 ms |
3644 KB |
Output is correct |
40 |
Correct |
743 ms |
3380 KB |
Output is correct |
41 |
Correct |
81 ms |
17012 KB |
Output is correct |
42 |
Correct |
78 ms |
16900 KB |
Output is correct |
43 |
Correct |
114 ms |
16856 KB |
Output is correct |
44 |
Correct |
105 ms |
16972 KB |
Output is correct |
45 |
Correct |
76 ms |
17012 KB |
Output is correct |
46 |
Correct |
122 ms |
16840 KB |
Output is correct |
47 |
Correct |
108 ms |
16876 KB |
Output is correct |
48 |
Correct |
56 ms |
17060 KB |
Output is correct |
49 |
Correct |
74 ms |
16788 KB |
Output is correct |
50 |
Correct |
73 ms |
16952 KB |
Output is correct |
51 |
Correct |
86 ms |
16860 KB |
Output is correct |
52 |
Correct |
97 ms |
16844 KB |
Output is correct |
53 |
Correct |
82 ms |
16852 KB |
Output is correct |
54 |
Correct |
115 ms |
16852 KB |
Output is correct |
55 |
Correct |
108 ms |
16908 KB |
Output is correct |
56 |
Correct |
55 ms |
16724 KB |
Output is correct |
57 |
Correct |
72 ms |
16864 KB |
Output is correct |
58 |
Correct |
72 ms |
16728 KB |
Output is correct |
59 |
Correct |
87 ms |
16856 KB |
Output is correct |
60 |
Correct |
123 ms |
16824 KB |
Output is correct |
61 |
Correct |
74 ms |
16844 KB |
Output is correct |
62 |
Correct |
105 ms |
16868 KB |
Output is correct |
63 |
Correct |
119 ms |
16856 KB |
Output is correct |
64 |
Correct |
65 ms |
16716 KB |
Output is correct |
65 |
Correct |
112 ms |
16844 KB |
Output is correct |
66 |
Correct |
97 ms |
16848 KB |
Output is correct |
67 |
Correct |
96 ms |
16896 KB |
Output is correct |
68 |
Correct |
98 ms |
16856 KB |
Output is correct |
69 |
Correct |
98 ms |
16892 KB |
Output is correct |
70 |
Correct |
96 ms |
16876 KB |
Output is correct |
71 |
Correct |
781 ms |
21728 KB |
Output is correct |
72 |
Correct |
731 ms |
21848 KB |
Output is correct |
73 |
Correct |
1043 ms |
20552 KB |
Output is correct |
74 |
Correct |
1387 ms |
20748 KB |
Output is correct |
75 |
Correct |
818 ms |
22676 KB |
Output is correct |
76 |
Correct |
1657 ms |
21196 KB |
Output is correct |
77 |
Correct |
1494 ms |
20968 KB |
Output is correct |
78 |
Correct |
488 ms |
24648 KB |
Output is correct |
79 |
Correct |
752 ms |
18688 KB |
Output is correct |
80 |
Correct |
791 ms |
21832 KB |
Output is correct |
81 |
Correct |
1067 ms |
21860 KB |
Output is correct |
82 |
Correct |
1345 ms |
20684 KB |
Output is correct |
83 |
Correct |
831 ms |
19864 KB |
Output is correct |
84 |
Correct |
1552 ms |
20700 KB |
Output is correct |
85 |
Correct |
1444 ms |
20968 KB |
Output is correct |
86 |
Correct |
429 ms |
18740 KB |
Output is correct |
87 |
Correct |
729 ms |
21736 KB |
Output is correct |
88 |
Correct |
775 ms |
18864 KB |
Output is correct |
89 |
Correct |
1121 ms |
20300 KB |
Output is correct |
90 |
Correct |
1203 ms |
20800 KB |
Output is correct |
91 |
Correct |
818 ms |
20132 KB |
Output is correct |
92 |
Correct |
1305 ms |
21036 KB |
Output is correct |
93 |
Correct |
1464 ms |
21068 KB |
Output is correct |
94 |
Correct |
467 ms |
18656 KB |
Output is correct |
95 |
Correct |
1313 ms |
20812 KB |
Output is correct |
96 |
Correct |
1227 ms |
20808 KB |
Output is correct |
97 |
Correct |
1271 ms |
20816 KB |
Output is correct |
98 |
Correct |
1237 ms |
20896 KB |
Output is correct |
99 |
Correct |
1218 ms |
20812 KB |
Output is correct |
100 |
Correct |
1247 ms |
20836 KB |
Output is correct |