#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));
int one = 0, zero = 0, any = 0;
for(int i = 0; i < l; i++)
if(s[i] == '1') one++;
else if(s[i] == '0') zero++;
else any++;
int m1 = 0, m2 = 0;
for(int i = 0; i < l; i++) {
if(s[i] == '?') m2 |= 1 << i;
else m1 |= (s[i] - '0') << i;
}
int mn = min({one, zero, any});
if(one == mn) {
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(zero == mn) {
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 |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 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 |
1 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 |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 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 |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
269 ms |
6636 KB |
Output is correct |
12 |
Correct |
307 ms |
6324 KB |
Output is correct |
13 |
Correct |
306 ms |
5612 KB |
Output is correct |
14 |
Correct |
335 ms |
5612 KB |
Output is correct |
15 |
Correct |
297 ms |
6636 KB |
Output is correct |
16 |
Correct |
338 ms |
5784 KB |
Output is correct |
17 |
Correct |
341 ms |
5868 KB |
Output is correct |
18 |
Correct |
207 ms |
7660 KB |
Output is correct |
19 |
Correct |
252 ms |
4460 KB |
Output is correct |
20 |
Correct |
283 ms |
6124 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 |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 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 |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
269 ms |
6636 KB |
Output is correct |
12 |
Correct |
307 ms |
6324 KB |
Output is correct |
13 |
Correct |
306 ms |
5612 KB |
Output is correct |
14 |
Correct |
335 ms |
5612 KB |
Output is correct |
15 |
Correct |
297 ms |
6636 KB |
Output is correct |
16 |
Correct |
338 ms |
5784 KB |
Output is correct |
17 |
Correct |
341 ms |
5868 KB |
Output is correct |
18 |
Correct |
207 ms |
7660 KB |
Output is correct |
19 |
Correct |
252 ms |
4460 KB |
Output is correct |
20 |
Correct |
283 ms |
6124 KB |
Output is correct |
21 |
Correct |
320 ms |
6508 KB |
Output is correct |
22 |
Correct |
367 ms |
6764 KB |
Output is correct |
23 |
Correct |
413 ms |
5612 KB |
Output is correct |
24 |
Correct |
503 ms |
5484 KB |
Output is correct |
25 |
Correct |
373 ms |
7512 KB |
Output is correct |
26 |
Correct |
422 ms |
5996 KB |
Output is correct |
27 |
Correct |
417 ms |
5996 KB |
Output is correct |
28 |
Correct |
229 ms |
8428 KB |
Output is correct |
29 |
Correct |
279 ms |
4460 KB |
Output is correct |
30 |
Correct |
334 ms |
6636 KB |
Output is correct |
31 |
Correct |
385 ms |
6380 KB |
Output is correct |
32 |
Correct |
441 ms |
6400 KB |
Output is correct |
33 |
Correct |
402 ms |
5344 KB |
Output is correct |
34 |
Correct |
420 ms |
5444 KB |
Output is correct |
35 |
Correct |
425 ms |
5912 KB |
Output is correct |
36 |
Correct |
209 ms |
4460 KB |
Output is correct |
37 |
Correct |
338 ms |
6252 KB |
Output is correct |
38 |
Correct |
312 ms |
4332 KB |
Output is correct |
39 |
Correct |
380 ms |
5356 KB |
Output is correct |
40 |
Correct |
431 ms |
5356 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 |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 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 |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
97 ms |
13676 KB |
Output is correct |
12 |
Correct |
98 ms |
13676 KB |
Output is correct |
13 |
Correct |
112 ms |
13548 KB |
Output is correct |
14 |
Correct |
124 ms |
13676 KB |
Output is correct |
15 |
Correct |
94 ms |
13676 KB |
Output is correct |
16 |
Correct |
136 ms |
13644 KB |
Output is correct |
17 |
Correct |
132 ms |
13676 KB |
Output is correct |
18 |
Correct |
86 ms |
13804 KB |
Output is correct |
19 |
Correct |
89 ms |
13548 KB |
Output is correct |
20 |
Correct |
93 ms |
13676 KB |
Output is correct |
21 |
Correct |
110 ms |
13676 KB |
Output is correct |
22 |
Correct |
120 ms |
13548 KB |
Output is correct |
23 |
Correct |
98 ms |
13640 KB |
Output is correct |
24 |
Correct |
152 ms |
13676 KB |
Output is correct |
25 |
Correct |
125 ms |
13676 KB |
Output is correct |
26 |
Correct |
81 ms |
13548 KB |
Output is correct |
27 |
Correct |
94 ms |
13676 KB |
Output is correct |
28 |
Correct |
90 ms |
13548 KB |
Output is correct |
29 |
Correct |
126 ms |
13420 KB |
Output is correct |
30 |
Correct |
103 ms |
13460 KB |
Output is correct |
31 |
Correct |
92 ms |
13420 KB |
Output is correct |
32 |
Correct |
168 ms |
13548 KB |
Output is correct |
33 |
Correct |
124 ms |
13548 KB |
Output is correct |
34 |
Correct |
86 ms |
13420 KB |
Output is correct |
35 |
Correct |
116 ms |
13548 KB |
Output is correct |
36 |
Correct |
122 ms |
13548 KB |
Output is correct |
37 |
Correct |
115 ms |
13548 KB |
Output is correct |
38 |
Correct |
114 ms |
13548 KB |
Output is correct |
39 |
Correct |
113 ms |
13548 KB |
Output is correct |
40 |
Correct |
129 ms |
13548 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 |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 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 |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
269 ms |
6636 KB |
Output is correct |
12 |
Correct |
307 ms |
6324 KB |
Output is correct |
13 |
Correct |
306 ms |
5612 KB |
Output is correct |
14 |
Correct |
335 ms |
5612 KB |
Output is correct |
15 |
Correct |
297 ms |
6636 KB |
Output is correct |
16 |
Correct |
338 ms |
5784 KB |
Output is correct |
17 |
Correct |
341 ms |
5868 KB |
Output is correct |
18 |
Correct |
207 ms |
7660 KB |
Output is correct |
19 |
Correct |
252 ms |
4460 KB |
Output is correct |
20 |
Correct |
283 ms |
6124 KB |
Output is correct |
21 |
Correct |
320 ms |
6508 KB |
Output is correct |
22 |
Correct |
367 ms |
6764 KB |
Output is correct |
23 |
Correct |
413 ms |
5612 KB |
Output is correct |
24 |
Correct |
503 ms |
5484 KB |
Output is correct |
25 |
Correct |
373 ms |
7512 KB |
Output is correct |
26 |
Correct |
422 ms |
5996 KB |
Output is correct |
27 |
Correct |
417 ms |
5996 KB |
Output is correct |
28 |
Correct |
229 ms |
8428 KB |
Output is correct |
29 |
Correct |
279 ms |
4460 KB |
Output is correct |
30 |
Correct |
334 ms |
6636 KB |
Output is correct |
31 |
Correct |
385 ms |
6380 KB |
Output is correct |
32 |
Correct |
441 ms |
6400 KB |
Output is correct |
33 |
Correct |
402 ms |
5344 KB |
Output is correct |
34 |
Correct |
420 ms |
5444 KB |
Output is correct |
35 |
Correct |
425 ms |
5912 KB |
Output is correct |
36 |
Correct |
209 ms |
4460 KB |
Output is correct |
37 |
Correct |
338 ms |
6252 KB |
Output is correct |
38 |
Correct |
312 ms |
4332 KB |
Output is correct |
39 |
Correct |
380 ms |
5356 KB |
Output is correct |
40 |
Correct |
431 ms |
5356 KB |
Output is correct |
41 |
Correct |
97 ms |
13676 KB |
Output is correct |
42 |
Correct |
98 ms |
13676 KB |
Output is correct |
43 |
Correct |
112 ms |
13548 KB |
Output is correct |
44 |
Correct |
124 ms |
13676 KB |
Output is correct |
45 |
Correct |
94 ms |
13676 KB |
Output is correct |
46 |
Correct |
136 ms |
13644 KB |
Output is correct |
47 |
Correct |
132 ms |
13676 KB |
Output is correct |
48 |
Correct |
86 ms |
13804 KB |
Output is correct |
49 |
Correct |
89 ms |
13548 KB |
Output is correct |
50 |
Correct |
93 ms |
13676 KB |
Output is correct |
51 |
Correct |
110 ms |
13676 KB |
Output is correct |
52 |
Correct |
120 ms |
13548 KB |
Output is correct |
53 |
Correct |
98 ms |
13640 KB |
Output is correct |
54 |
Correct |
152 ms |
13676 KB |
Output is correct |
55 |
Correct |
125 ms |
13676 KB |
Output is correct |
56 |
Correct |
81 ms |
13548 KB |
Output is correct |
57 |
Correct |
94 ms |
13676 KB |
Output is correct |
58 |
Correct |
90 ms |
13548 KB |
Output is correct |
59 |
Correct |
126 ms |
13420 KB |
Output is correct |
60 |
Correct |
103 ms |
13460 KB |
Output is correct |
61 |
Correct |
92 ms |
13420 KB |
Output is correct |
62 |
Correct |
168 ms |
13548 KB |
Output is correct |
63 |
Correct |
124 ms |
13548 KB |
Output is correct |
64 |
Correct |
86 ms |
13420 KB |
Output is correct |
65 |
Correct |
116 ms |
13548 KB |
Output is correct |
66 |
Correct |
122 ms |
13548 KB |
Output is correct |
67 |
Correct |
115 ms |
13548 KB |
Output is correct |
68 |
Correct |
114 ms |
13548 KB |
Output is correct |
69 |
Correct |
113 ms |
13548 KB |
Output is correct |
70 |
Correct |
129 ms |
13548 KB |
Output is correct |
71 |
Correct |
636 ms |
17884 KB |
Output is correct |
72 |
Correct |
641 ms |
17900 KB |
Output is correct |
73 |
Correct |
784 ms |
16492 KB |
Output is correct |
74 |
Correct |
1281 ms |
16888 KB |
Output is correct |
75 |
Correct |
642 ms |
19044 KB |
Output is correct |
76 |
Correct |
1464 ms |
18028 KB |
Output is correct |
77 |
Correct |
1254 ms |
38492 KB |
Output is correct |
78 |
Correct |
387 ms |
42220 KB |
Output is correct |
79 |
Correct |
507 ms |
36204 KB |
Output is correct |
80 |
Correct |
625 ms |
39532 KB |
Output is correct |
81 |
Correct |
873 ms |
39324 KB |
Output is correct |
82 |
Correct |
1104 ms |
38380 KB |
Output is correct |
83 |
Correct |
620 ms |
37484 KB |
Output is correct |
84 |
Correct |
1393 ms |
38552 KB |
Output is correct |
85 |
Correct |
1244 ms |
38508 KB |
Output is correct |
86 |
Correct |
365 ms |
36204 KB |
Output is correct |
87 |
Correct |
629 ms |
39276 KB |
Output is correct |
88 |
Correct |
543 ms |
36204 KB |
Output is correct |
89 |
Correct |
836 ms |
37996 KB |
Output is correct |
90 |
Correct |
794 ms |
38380 KB |
Output is correct |
91 |
Correct |
586 ms |
37540 KB |
Output is correct |
92 |
Correct |
1361 ms |
38632 KB |
Output is correct |
93 |
Correct |
1222 ms |
38760 KB |
Output is correct |
94 |
Correct |
422 ms |
36200 KB |
Output is correct |
95 |
Correct |
1048 ms |
38560 KB |
Output is correct |
96 |
Correct |
1022 ms |
38508 KB |
Output is correct |
97 |
Correct |
1002 ms |
38640 KB |
Output is correct |
98 |
Correct |
1033 ms |
38512 KB |
Output is correct |
99 |
Correct |
1014 ms |
38388 KB |
Output is correct |
100 |
Correct |
1028 ms |
38692 KB |
Output is correct |