#include <bits/stdc++.h>
#define IO_OP std::ios::sync_with_stdio(0); std::cin.tie(0);
#define F first
#define S second
#define V vector
#define PB push_back
#define MP make_pair
#define EB emplace_back
#define ALL(v) (v).begin(), (v).end()
#define debug(x) cerr << "Line(" << __LINE__ << ") -> " << #x << " is " << x << endl
using namespace std;
typedef long long ll;
typedef pair<int, int> pi;
typedef V<int> vi;
const int INF = 1e9 + 7, N = 20;
int a[1 << 20], sub[1 << N], sup[1 << N];
signed main()
{
IO_OP;
int l, q;
cin >> l >> q;
for(int i = 0; i < (1 << l); i++) {
char c;
cin >> c;
a[i] = c - '0';
}
memcpy(sub, a, sizeof(a[0]) * (1 << l));
memcpy(sup, a, sizeof(a[0]) * (1 << l));
for(int j = 0; j < l; j++) {
for(int i = 0; i < (1 << l); i++)
if(i >> j & 1)
sub[i] += sub[i ^ (1 << j)];
}
for(int j = 0; j < l; j++) {
for(int i = 0; i < (1 << l); i++)
if(i >> j & 1)
sup[i ^ (1 << j)] += sup[i];
}
while(q--) {
string s;
cin >> s;
reverse(ALL(s));
vi one, zero, any;
for(int i = 0; i < l; i++) {
if(s[i] == '1') one.PB(i);
else if(s[i] == '0') zero.PB(i);
else any.PB(i);
}
int m1 = 0, m2 = 0;
for(int i = 0; i < l; i++) {
if(s[i] == '?') m2 |= 1 << i;
else m1 |= (s[i] - '0') << i;
}
if(int(one.size()) <= 6) {
int ans = 0;
for(int m = m1; ; m = (m - 1) & m1) {
int sign = (__builtin_popcount(m ^ m1) % 2 ? -1 : 1);
ans += sign * sub[m | m2];
if(m == 0) break;
}
cout << ans << '\n';
} else if(int(zero.size()) <= 6) {
int ans = 0;
int all = ((1 << l) - 1) ^ m2;
m1 ^= all;
for(int m = m1; ; m = (m - 1) & m1) {
int mm = all ^ m;
int sign = (__builtin_popcount(m ^ m1) % 2 ? -1 : 1);
ans += sign * sup[mm];
if(m == 0) break;
}
cout << ans << '\n';
} else {
int ans = 0;
for(int m = m2; ; m = (m - 1) & m2) {
ans += a[m1 | m];
if(m == 0) break;
}
cout << ans << '\n';
}
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
2 ms |
364 KB |
Output is correct |
6 |
Correct |
2 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
2 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
2 ms |
364 KB |
Output is correct |
6 |
Correct |
2 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
2 ms |
364 KB |
Output is correct |
11 |
Correct |
741 ms |
15392 KB |
Output is correct |
12 |
Correct |
573 ms |
14956 KB |
Output is correct |
13 |
Correct |
638 ms |
14040 KB |
Output is correct |
14 |
Correct |
648 ms |
14316 KB |
Output is correct |
15 |
Correct |
596 ms |
15212 KB |
Output is correct |
16 |
Correct |
724 ms |
14372 KB |
Output is correct |
17 |
Correct |
725 ms |
14372 KB |
Output is correct |
18 |
Correct |
396 ms |
16236 KB |
Output is correct |
19 |
Correct |
697 ms |
13220 KB |
Output is correct |
20 |
Correct |
690 ms |
14880 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
2 ms |
364 KB |
Output is correct |
6 |
Correct |
2 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
2 ms |
364 KB |
Output is correct |
11 |
Correct |
741 ms |
15392 KB |
Output is correct |
12 |
Correct |
573 ms |
14956 KB |
Output is correct |
13 |
Correct |
638 ms |
14040 KB |
Output is correct |
14 |
Correct |
648 ms |
14316 KB |
Output is correct |
15 |
Correct |
596 ms |
15212 KB |
Output is correct |
16 |
Correct |
724 ms |
14372 KB |
Output is correct |
17 |
Correct |
725 ms |
14372 KB |
Output is correct |
18 |
Correct |
396 ms |
16236 KB |
Output is correct |
19 |
Correct |
697 ms |
13220 KB |
Output is correct |
20 |
Correct |
690 ms |
14880 KB |
Output is correct |
21 |
Correct |
935 ms |
18288 KB |
Output is correct |
22 |
Correct |
666 ms |
18540 KB |
Output is correct |
23 |
Correct |
794 ms |
17388 KB |
Output is correct |
24 |
Correct |
800 ms |
17292 KB |
Output is correct |
25 |
Correct |
711 ms |
19300 KB |
Output is correct |
26 |
Correct |
876 ms |
17728 KB |
Output is correct |
27 |
Correct |
875 ms |
17772 KB |
Output is correct |
28 |
Correct |
418 ms |
20316 KB |
Output is correct |
29 |
Correct |
876 ms |
16192 KB |
Output is correct |
30 |
Correct |
786 ms |
18412 KB |
Output is correct |
31 |
Correct |
871 ms |
18268 KB |
Output is correct |
32 |
Correct |
837 ms |
18284 KB |
Output is correct |
33 |
Correct |
787 ms |
17176 KB |
Output is correct |
34 |
Correct |
858 ms |
17256 KB |
Output is correct |
35 |
Correct |
917 ms |
17664 KB |
Output is correct |
36 |
Correct |
432 ms |
16320 KB |
Output is correct |
37 |
Correct |
658 ms |
18512 KB |
Output is correct |
38 |
Correct |
793 ms |
16472 KB |
Output is correct |
39 |
Correct |
1036 ms |
17452 KB |
Output is correct |
40 |
Correct |
896 ms |
17344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
2 ms |
364 KB |
Output is correct |
6 |
Correct |
2 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
2 ms |
364 KB |
Output is correct |
11 |
Correct |
118 ms |
14924 KB |
Output is correct |
12 |
Correct |
116 ms |
15212 KB |
Output is correct |
13 |
Correct |
129 ms |
14904 KB |
Output is correct |
14 |
Correct |
155 ms |
15084 KB |
Output is correct |
15 |
Correct |
120 ms |
14956 KB |
Output is correct |
16 |
Correct |
162 ms |
14956 KB |
Output is correct |
17 |
Correct |
172 ms |
14976 KB |
Output is correct |
18 |
Correct |
92 ms |
15084 KB |
Output is correct |
19 |
Correct |
109 ms |
14956 KB |
Output is correct |
20 |
Correct |
139 ms |
15004 KB |
Output is correct |
21 |
Correct |
139 ms |
15124 KB |
Output is correct |
22 |
Correct |
144 ms |
14956 KB |
Output is correct |
23 |
Correct |
120 ms |
14956 KB |
Output is correct |
24 |
Correct |
167 ms |
14956 KB |
Output is correct |
25 |
Correct |
158 ms |
14956 KB |
Output is correct |
26 |
Correct |
94 ms |
14812 KB |
Output is correct |
27 |
Correct |
119 ms |
15084 KB |
Output is correct |
28 |
Correct |
111 ms |
14828 KB |
Output is correct |
29 |
Correct |
135 ms |
14956 KB |
Output is correct |
30 |
Correct |
126 ms |
14956 KB |
Output is correct |
31 |
Correct |
119 ms |
14828 KB |
Output is correct |
32 |
Correct |
171 ms |
14956 KB |
Output is correct |
33 |
Correct |
162 ms |
14904 KB |
Output is correct |
34 |
Correct |
96 ms |
14876 KB |
Output is correct |
35 |
Correct |
160 ms |
14956 KB |
Output is correct |
36 |
Correct |
143 ms |
15084 KB |
Output is correct |
37 |
Correct |
146 ms |
14956 KB |
Output is correct |
38 |
Correct |
154 ms |
14956 KB |
Output is correct |
39 |
Correct |
155 ms |
14956 KB |
Output is correct |
40 |
Correct |
141 ms |
15084 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
2 ms |
364 KB |
Output is correct |
6 |
Correct |
2 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
2 ms |
364 KB |
Output is correct |
11 |
Correct |
741 ms |
15392 KB |
Output is correct |
12 |
Correct |
573 ms |
14956 KB |
Output is correct |
13 |
Correct |
638 ms |
14040 KB |
Output is correct |
14 |
Correct |
648 ms |
14316 KB |
Output is correct |
15 |
Correct |
596 ms |
15212 KB |
Output is correct |
16 |
Correct |
724 ms |
14372 KB |
Output is correct |
17 |
Correct |
725 ms |
14372 KB |
Output is correct |
18 |
Correct |
396 ms |
16236 KB |
Output is correct |
19 |
Correct |
697 ms |
13220 KB |
Output is correct |
20 |
Correct |
690 ms |
14880 KB |
Output is correct |
21 |
Correct |
935 ms |
18288 KB |
Output is correct |
22 |
Correct |
666 ms |
18540 KB |
Output is correct |
23 |
Correct |
794 ms |
17388 KB |
Output is correct |
24 |
Correct |
800 ms |
17292 KB |
Output is correct |
25 |
Correct |
711 ms |
19300 KB |
Output is correct |
26 |
Correct |
876 ms |
17728 KB |
Output is correct |
27 |
Correct |
875 ms |
17772 KB |
Output is correct |
28 |
Correct |
418 ms |
20316 KB |
Output is correct |
29 |
Correct |
876 ms |
16192 KB |
Output is correct |
30 |
Correct |
786 ms |
18412 KB |
Output is correct |
31 |
Correct |
871 ms |
18268 KB |
Output is correct |
32 |
Correct |
837 ms |
18284 KB |
Output is correct |
33 |
Correct |
787 ms |
17176 KB |
Output is correct |
34 |
Correct |
858 ms |
17256 KB |
Output is correct |
35 |
Correct |
917 ms |
17664 KB |
Output is correct |
36 |
Correct |
432 ms |
16320 KB |
Output is correct |
37 |
Correct |
658 ms |
18512 KB |
Output is correct |
38 |
Correct |
793 ms |
16472 KB |
Output is correct |
39 |
Correct |
1036 ms |
17452 KB |
Output is correct |
40 |
Correct |
896 ms |
17344 KB |
Output is correct |
41 |
Correct |
118 ms |
14924 KB |
Output is correct |
42 |
Correct |
116 ms |
15212 KB |
Output is correct |
43 |
Correct |
129 ms |
14904 KB |
Output is correct |
44 |
Correct |
155 ms |
15084 KB |
Output is correct |
45 |
Correct |
120 ms |
14956 KB |
Output is correct |
46 |
Correct |
162 ms |
14956 KB |
Output is correct |
47 |
Correct |
172 ms |
14976 KB |
Output is correct |
48 |
Correct |
92 ms |
15084 KB |
Output is correct |
49 |
Correct |
109 ms |
14956 KB |
Output is correct |
50 |
Correct |
139 ms |
15004 KB |
Output is correct |
51 |
Correct |
139 ms |
15124 KB |
Output is correct |
52 |
Correct |
144 ms |
14956 KB |
Output is correct |
53 |
Correct |
120 ms |
14956 KB |
Output is correct |
54 |
Correct |
167 ms |
14956 KB |
Output is correct |
55 |
Correct |
158 ms |
14956 KB |
Output is correct |
56 |
Correct |
94 ms |
14812 KB |
Output is correct |
57 |
Correct |
119 ms |
15084 KB |
Output is correct |
58 |
Correct |
111 ms |
14828 KB |
Output is correct |
59 |
Correct |
135 ms |
14956 KB |
Output is correct |
60 |
Correct |
126 ms |
14956 KB |
Output is correct |
61 |
Correct |
119 ms |
14828 KB |
Output is correct |
62 |
Correct |
171 ms |
14956 KB |
Output is correct |
63 |
Correct |
162 ms |
14904 KB |
Output is correct |
64 |
Correct |
96 ms |
14876 KB |
Output is correct |
65 |
Correct |
160 ms |
14956 KB |
Output is correct |
66 |
Correct |
143 ms |
15084 KB |
Output is correct |
67 |
Correct |
146 ms |
14956 KB |
Output is correct |
68 |
Correct |
154 ms |
14956 KB |
Output is correct |
69 |
Correct |
155 ms |
14956 KB |
Output is correct |
70 |
Correct |
141 ms |
15084 KB |
Output is correct |
71 |
Correct |
1040 ms |
39256 KB |
Output is correct |
72 |
Correct |
1080 ms |
39376 KB |
Output is correct |
73 |
Correct |
1420 ms |
37996 KB |
Output is correct |
74 |
Correct |
1799 ms |
38528 KB |
Output is correct |
75 |
Correct |
1186 ms |
40344 KB |
Output is correct |
76 |
Execution timed out |
2072 ms |
37984 KB |
Time limit exceeded |
77 |
Halted |
0 ms |
0 KB |
- |