#include <iostream>
#include <vector>
using namespace std;
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int L, T; cin >> L >> T;
int n = (1 << L);
int A[n];
for(int i = 0; i < n; ++i)
{
char c; cin >> c;
A[i] = c - '0';
}
int B[n]; for(int i = 0; i < n; ++i) B[i] = A[i];
for(int i = 0; i < L; ++i)
{
for(int j = 0; j < n; ++j)
if(j >> i & 1) B[j] += B[j ^ (1 << i)];
}
int C[n]; for(int i = 0; i < n; ++i) C[i] = A[i];
for(int i = 0; i < L; ++i)
{
for(int j = 0; j < n; ++j)
if(j >> i & 1) C[j ^ (1 << i)] += C[j];
}
// for(auto i : A) cout << i << ' '; cout << endl;
// for(auto i : B) cout << i << ' '; cout << endl;
// for(auto i : C) cout << i << ' '; cout << endl;
while(T--)
{
int a = 0, b = 0, c = 0;
int arr[L];
for(int i = L - 1; i >= 0; --i)
{
char t; cin >> t;
if(t == '0') arr[i] = 0, ++c;
else if(t == '1') arr[i] = 1, ++b;
else arr[i] = 2, ++a;
}
if(a <= b && a <= c)
{
int N = 1 << a;
vector<int> bt; int bs = 0;
for(int i = 0; i < L; ++i)
{
if(arr[i] == 2) bt.push_back(1 << i);
else if(arr[i] == 1) bs |= (1 << i);
}
int ans = A[bs];
for(int i = 1; i < N; ++i)
{
int t = __builtin_ctz(i);
for(int j = 0; j < t; ++j) bs ^= bt[j];
bs ^= bt[t];
ans += A[bs];
}
cout << ans << '\n';
}
else if(b <= a && b <= c)
{
int N = 1 << b;
vector<int> bt; int bs = 0;
for(int i = 0; i < L; ++i)
{
if(arr[i] == 1) bt.push_back(1 << i), bs |= (1 << i);
else if(arr[i] == 2) bs |= (1 << i);
}
long long ans = B[bs];
for(int i = 1; i < N; ++i)
{
int t = __builtin_ctz(i);
for(int j = 0; j < t; ++j) bs ^= bt[j];
bs ^= bt[t];
if(__builtin_parity(i)) ans -= B[bs];
else ans += B[bs];
}
cout << ans << '\n';
}
else
{
int N = 1 << c;
vector<int> bt; int bs = 0;
for(int i = 0; i < L; ++i)
{
if(arr[i] == 0) bt.push_back(1 << i);
else if(arr[i] == 1) bs |= (1 << i);
}
long long ans = C[bs];
for(int i = 1; i < N; ++i)
{
int t = __builtin_ctz(i);
for(int j = 0; j < t; ++j) bs ^= bt[j];
bs ^= bt[t];
if(__builtin_parity(i)) ans -= C[bs];
else ans += C[bs];
}
cout << ans << '\n';
}
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
308 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
384 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
7 |
Correct |
1 ms |
384 KB |
Output is correct |
8 |
Correct |
1 ms |
384 KB |
Output is correct |
9 |
Correct |
1 ms |
384 KB |
Output is correct |
10 |
Correct |
1 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
308 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
384 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
7 |
Correct |
1 ms |
384 KB |
Output is correct |
8 |
Correct |
1 ms |
384 KB |
Output is correct |
9 |
Correct |
1 ms |
384 KB |
Output is correct |
10 |
Correct |
1 ms |
384 KB |
Output is correct |
11 |
Correct |
344 ms |
15096 KB |
Output is correct |
12 |
Correct |
357 ms |
14968 KB |
Output is correct |
13 |
Correct |
481 ms |
14116 KB |
Output is correct |
14 |
Correct |
554 ms |
14200 KB |
Output is correct |
15 |
Correct |
409 ms |
15224 KB |
Output is correct |
16 |
Correct |
530 ms |
14328 KB |
Output is correct |
17 |
Correct |
505 ms |
14456 KB |
Output is correct |
18 |
Correct |
284 ms |
16124 KB |
Output is correct |
19 |
Correct |
337 ms |
13176 KB |
Output is correct |
20 |
Correct |
344 ms |
14840 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
308 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
384 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
7 |
Correct |
1 ms |
384 KB |
Output is correct |
8 |
Correct |
1 ms |
384 KB |
Output is correct |
9 |
Correct |
1 ms |
384 KB |
Output is correct |
10 |
Correct |
1 ms |
384 KB |
Output is correct |
11 |
Correct |
344 ms |
15096 KB |
Output is correct |
12 |
Correct |
357 ms |
14968 KB |
Output is correct |
13 |
Correct |
481 ms |
14116 KB |
Output is correct |
14 |
Correct |
554 ms |
14200 KB |
Output is correct |
15 |
Correct |
409 ms |
15224 KB |
Output is correct |
16 |
Correct |
530 ms |
14328 KB |
Output is correct |
17 |
Correct |
505 ms |
14456 KB |
Output is correct |
18 |
Correct |
284 ms |
16124 KB |
Output is correct |
19 |
Correct |
337 ms |
13176 KB |
Output is correct |
20 |
Correct |
344 ms |
14840 KB |
Output is correct |
21 |
Correct |
460 ms |
18232 KB |
Output is correct |
22 |
Correct |
428 ms |
18400 KB |
Output is correct |
23 |
Correct |
636 ms |
17448 KB |
Output is correct |
24 |
Correct |
686 ms |
17144 KB |
Output is correct |
25 |
Correct |
502 ms |
19320 KB |
Output is correct |
26 |
Correct |
662 ms |
17696 KB |
Output is correct |
27 |
Correct |
629 ms |
17656 KB |
Output is correct |
28 |
Correct |
335 ms |
20216 KB |
Output is correct |
29 |
Correct |
418 ms |
16208 KB |
Output is correct |
30 |
Correct |
422 ms |
18424 KB |
Output is correct |
31 |
Correct |
607 ms |
18204 KB |
Output is correct |
32 |
Correct |
697 ms |
18296 KB |
Output is correct |
33 |
Correct |
514 ms |
17032 KB |
Output is correct |
34 |
Correct |
659 ms |
17272 KB |
Output is correct |
35 |
Correct |
638 ms |
17596 KB |
Output is correct |
36 |
Correct |
322 ms |
16120 KB |
Output is correct |
37 |
Correct |
426 ms |
18164 KB |
Output is correct |
38 |
Correct |
415 ms |
16248 KB |
Output is correct |
39 |
Correct |
612 ms |
17404 KB |
Output is correct |
40 |
Correct |
685 ms |
17104 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
308 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
384 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
7 |
Correct |
1 ms |
384 KB |
Output is correct |
8 |
Correct |
1 ms |
384 KB |
Output is correct |
9 |
Correct |
1 ms |
384 KB |
Output is correct |
10 |
Correct |
1 ms |
384 KB |
Output is correct |
11 |
Correct |
117 ms |
15096 KB |
Output is correct |
12 |
Correct |
128 ms |
14992 KB |
Output is correct |
13 |
Correct |
141 ms |
14932 KB |
Output is correct |
14 |
Correct |
162 ms |
14968 KB |
Output is correct |
15 |
Correct |
121 ms |
15024 KB |
Output is correct |
16 |
Correct |
180 ms |
14968 KB |
Output is correct |
17 |
Correct |
160 ms |
14968 KB |
Output is correct |
18 |
Correct |
103 ms |
15096 KB |
Output is correct |
19 |
Correct |
118 ms |
14792 KB |
Output is correct |
20 |
Correct |
122 ms |
14968 KB |
Output is correct |
21 |
Correct |
136 ms |
14968 KB |
Output is correct |
22 |
Correct |
160 ms |
14916 KB |
Output is correct |
23 |
Correct |
123 ms |
14968 KB |
Output is correct |
24 |
Correct |
164 ms |
14968 KB |
Output is correct |
25 |
Correct |
160 ms |
14968 KB |
Output is correct |
26 |
Correct |
105 ms |
14840 KB |
Output is correct |
27 |
Correct |
117 ms |
14968 KB |
Output is correct |
28 |
Correct |
115 ms |
14840 KB |
Output is correct |
29 |
Correct |
134 ms |
14840 KB |
Output is correct |
30 |
Correct |
154 ms |
14888 KB |
Output is correct |
31 |
Correct |
126 ms |
14968 KB |
Output is correct |
32 |
Correct |
167 ms |
14968 KB |
Output is correct |
33 |
Correct |
157 ms |
14968 KB |
Output is correct |
34 |
Correct |
106 ms |
14840 KB |
Output is correct |
35 |
Correct |
144 ms |
14968 KB |
Output is correct |
36 |
Correct |
141 ms |
15096 KB |
Output is correct |
37 |
Correct |
145 ms |
14968 KB |
Output is correct |
38 |
Correct |
145 ms |
14968 KB |
Output is correct |
39 |
Correct |
145 ms |
14968 KB |
Output is correct |
40 |
Correct |
141 ms |
15044 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
308 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
384 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
7 |
Correct |
1 ms |
384 KB |
Output is correct |
8 |
Correct |
1 ms |
384 KB |
Output is correct |
9 |
Correct |
1 ms |
384 KB |
Output is correct |
10 |
Correct |
1 ms |
384 KB |
Output is correct |
11 |
Correct |
344 ms |
15096 KB |
Output is correct |
12 |
Correct |
357 ms |
14968 KB |
Output is correct |
13 |
Correct |
481 ms |
14116 KB |
Output is correct |
14 |
Correct |
554 ms |
14200 KB |
Output is correct |
15 |
Correct |
409 ms |
15224 KB |
Output is correct |
16 |
Correct |
530 ms |
14328 KB |
Output is correct |
17 |
Correct |
505 ms |
14456 KB |
Output is correct |
18 |
Correct |
284 ms |
16124 KB |
Output is correct |
19 |
Correct |
337 ms |
13176 KB |
Output is correct |
20 |
Correct |
344 ms |
14840 KB |
Output is correct |
21 |
Correct |
460 ms |
18232 KB |
Output is correct |
22 |
Correct |
428 ms |
18400 KB |
Output is correct |
23 |
Correct |
636 ms |
17448 KB |
Output is correct |
24 |
Correct |
686 ms |
17144 KB |
Output is correct |
25 |
Correct |
502 ms |
19320 KB |
Output is correct |
26 |
Correct |
662 ms |
17696 KB |
Output is correct |
27 |
Correct |
629 ms |
17656 KB |
Output is correct |
28 |
Correct |
335 ms |
20216 KB |
Output is correct |
29 |
Correct |
418 ms |
16208 KB |
Output is correct |
30 |
Correct |
422 ms |
18424 KB |
Output is correct |
31 |
Correct |
607 ms |
18204 KB |
Output is correct |
32 |
Correct |
697 ms |
18296 KB |
Output is correct |
33 |
Correct |
514 ms |
17032 KB |
Output is correct |
34 |
Correct |
659 ms |
17272 KB |
Output is correct |
35 |
Correct |
638 ms |
17596 KB |
Output is correct |
36 |
Correct |
322 ms |
16120 KB |
Output is correct |
37 |
Correct |
426 ms |
18164 KB |
Output is correct |
38 |
Correct |
415 ms |
16248 KB |
Output is correct |
39 |
Correct |
612 ms |
17404 KB |
Output is correct |
40 |
Correct |
685 ms |
17104 KB |
Output is correct |
41 |
Correct |
117 ms |
15096 KB |
Output is correct |
42 |
Correct |
128 ms |
14992 KB |
Output is correct |
43 |
Correct |
141 ms |
14932 KB |
Output is correct |
44 |
Correct |
162 ms |
14968 KB |
Output is correct |
45 |
Correct |
121 ms |
15024 KB |
Output is correct |
46 |
Correct |
180 ms |
14968 KB |
Output is correct |
47 |
Correct |
160 ms |
14968 KB |
Output is correct |
48 |
Correct |
103 ms |
15096 KB |
Output is correct |
49 |
Correct |
118 ms |
14792 KB |
Output is correct |
50 |
Correct |
122 ms |
14968 KB |
Output is correct |
51 |
Correct |
136 ms |
14968 KB |
Output is correct |
52 |
Correct |
160 ms |
14916 KB |
Output is correct |
53 |
Correct |
123 ms |
14968 KB |
Output is correct |
54 |
Correct |
164 ms |
14968 KB |
Output is correct |
55 |
Correct |
160 ms |
14968 KB |
Output is correct |
56 |
Correct |
105 ms |
14840 KB |
Output is correct |
57 |
Correct |
117 ms |
14968 KB |
Output is correct |
58 |
Correct |
115 ms |
14840 KB |
Output is correct |
59 |
Correct |
134 ms |
14840 KB |
Output is correct |
60 |
Correct |
154 ms |
14888 KB |
Output is correct |
61 |
Correct |
126 ms |
14968 KB |
Output is correct |
62 |
Correct |
167 ms |
14968 KB |
Output is correct |
63 |
Correct |
157 ms |
14968 KB |
Output is correct |
64 |
Correct |
106 ms |
14840 KB |
Output is correct |
65 |
Correct |
144 ms |
14968 KB |
Output is correct |
66 |
Correct |
141 ms |
15096 KB |
Output is correct |
67 |
Correct |
145 ms |
14968 KB |
Output is correct |
68 |
Correct |
145 ms |
14968 KB |
Output is correct |
69 |
Correct |
145 ms |
14968 KB |
Output is correct |
70 |
Correct |
141 ms |
15044 KB |
Output is correct |
71 |
Correct |
703 ms |
39188 KB |
Output is correct |
72 |
Correct |
742 ms |
39424 KB |
Output is correct |
73 |
Correct |
1218 ms |
37880 KB |
Output is correct |
74 |
Correct |
1630 ms |
38392 KB |
Output is correct |
75 |
Correct |
889 ms |
40316 KB |
Output is correct |
76 |
Correct |
1886 ms |
38632 KB |
Output is correct |
77 |
Correct |
1589 ms |
38520 KB |
Output is correct |
78 |
Correct |
528 ms |
42488 KB |
Output is correct |
79 |
Correct |
721 ms |
36472 KB |
Output is correct |
80 |
Correct |
768 ms |
39608 KB |
Output is correct |
81 |
Correct |
1243 ms |
39416 KB |
Output is correct |
82 |
Correct |
1860 ms |
38356 KB |
Output is correct |
83 |
Correct |
866 ms |
37632 KB |
Output is correct |
84 |
Correct |
1625 ms |
38420 KB |
Output is correct |
85 |
Correct |
1571 ms |
38520 KB |
Output is correct |
86 |
Correct |
515 ms |
36344 KB |
Output is correct |
87 |
Correct |
742 ms |
39268 KB |
Output is correct |
88 |
Correct |
743 ms |
36216 KB |
Output is correct |
89 |
Correct |
1131 ms |
38068 KB |
Output is correct |
90 |
Correct |
1391 ms |
38372 KB |
Output is correct |
91 |
Correct |
930 ms |
37544 KB |
Output is correct |
92 |
Correct |
1798 ms |
38520 KB |
Output is correct |
93 |
Correct |
1581 ms |
38392 KB |
Output is correct |
94 |
Correct |
513 ms |
36248 KB |
Output is correct |
95 |
Correct |
1284 ms |
38264 KB |
Output is correct |
96 |
Correct |
1337 ms |
38648 KB |
Output is correct |
97 |
Correct |
1323 ms |
38392 KB |
Output is correct |
98 |
Correct |
1290 ms |
38264 KB |
Output is correct |
99 |
Correct |
1277 ms |
38408 KB |
Output is correct |
100 |
Correct |
1292 ms |
38408 KB |
Output is correct |