#include <iostream>
#include <algorithm>
#include <vector>
using namespace std;
const int N = 1e6 + 2;
int f[1 << 20];
int ans[N];
unsigned char type[N]; // 255 if ?, otherwise 0/1 for majority
int get_mask(const string& s, char target)
{
int mask = 0;
for (auto ch : s) {
mask <<= 1;
mask |= ch == target;
}
return mask;
}
int main()
{
cin.tie(NULL); ios_base::sync_with_stdio(false);
int l, q; cin >> l >> q;
string toxicity; cin >> toxicity;
vector<string> queries(q);
for (auto& s : queries) cin >> s;
for (int i = 0; i < q; ++i) {
int cnt[3] = {};
for (auto ch : queries[i])
++cnt[ch == '?' ? 2 : ch - '0'];
int mn = *min_element(cnt, cnt + 3);
if (cnt[2] == mn) {
int maskQ = get_mask(queries[i], '?');
int mask1 = get_mask(queries[i], '1');
for (int submask = maskQ; submask > 0; submask = (submask - 1) & maskQ)
ans[i] += toxicity[mask1 | submask] - '0';
ans[i] += toxicity[mask1] - '0'; // all 0
type[i] = 255;
}
else
type[i] = cnt[0] > cnt[1];
}
transform(toxicity.begin(), toxicity.end(), f, [](char ch) { return ch - '0'; });
for (int b = 0; b < l; ++b)
for (int i = 0; i < 1 << l; ++i)
if ((i >> b) & 1)
f[i] += f[i ^ (1 << b)];
for (int i = 0; i < q; ++i)
if (type[i] == 1) {
int maskQ = get_mask(queries[i], '?');
int mask1 = get_mask(queries[i], '1');
for (int submask = mask1; submask > 0; submask = (submask - 1) & mask1) // mask of 0 within 1
ans[i] += f[maskQ | (mask1 ^ submask)] * (__builtin_popcount(submask) & 1 ? -1 : 1);
ans[i] += f[maskQ | mask1]; // base: all 1 are ?
}
transform(toxicity.begin(), toxicity.end(), f, [](char ch) { return ch - '0'; });
for (int b = 0; b < l; ++b)
for (int i = (1 << l) - 1; i >= 0; --i)
if (!((i >> b) & 1))
f[i] += f[i ^ (1 << b)];
int fullmask = (1 << l) - 1;
for (int i = 0; i < q; ++i)
if (type[i] == 0) {
int maskQ = get_mask(queries[i], '?');
int mask0 = get_mask(queries[i], '0');
for (int submask = mask0; submask > 0; submask = (submask - 1) & mask0) // mask of 1 within 0
ans[i] += f[fullmask ^ (maskQ | (mask0 ^ submask))] * (__builtin_popcount(submask) & 1 ? -1 : 1);
ans[i] += f[fullmask ^ (maskQ | mask0)]; // base: all 0 are ?
}
for (int i = 0; i < q; ++i) cout << ans[i] << '\n';
return 0;
}
# |
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 |
328 KB |
Output is correct |
5 |
Correct |
1 ms |
320 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
328 KB |
Output is correct |
8 |
Correct |
1 ms |
324 KB |
Output is correct |
9 |
Correct |
1 ms |
328 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 |
328 KB |
Output is correct |
5 |
Correct |
1 ms |
320 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
328 KB |
Output is correct |
8 |
Correct |
1 ms |
324 KB |
Output is correct |
9 |
Correct |
1 ms |
328 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
207 ms |
42184 KB |
Output is correct |
12 |
Correct |
208 ms |
41764 KB |
Output is correct |
13 |
Correct |
210 ms |
41020 KB |
Output is correct |
14 |
Correct |
203 ms |
41120 KB |
Output is correct |
15 |
Correct |
216 ms |
42180 KB |
Output is correct |
16 |
Correct |
221 ms |
41284 KB |
Output is correct |
17 |
Correct |
223 ms |
41284 KB |
Output is correct |
18 |
Correct |
202 ms |
43132 KB |
Output is correct |
19 |
Correct |
194 ms |
40260 KB |
Output is correct |
20 |
Correct |
216 ms |
41804 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 |
328 KB |
Output is correct |
5 |
Correct |
1 ms |
320 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
328 KB |
Output is correct |
8 |
Correct |
1 ms |
324 KB |
Output is correct |
9 |
Correct |
1 ms |
328 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
207 ms |
42184 KB |
Output is correct |
12 |
Correct |
208 ms |
41764 KB |
Output is correct |
13 |
Correct |
210 ms |
41020 KB |
Output is correct |
14 |
Correct |
203 ms |
41120 KB |
Output is correct |
15 |
Correct |
216 ms |
42180 KB |
Output is correct |
16 |
Correct |
221 ms |
41284 KB |
Output is correct |
17 |
Correct |
223 ms |
41284 KB |
Output is correct |
18 |
Correct |
202 ms |
43132 KB |
Output is correct |
19 |
Correct |
194 ms |
40260 KB |
Output is correct |
20 |
Correct |
216 ms |
41804 KB |
Output is correct |
21 |
Correct |
226 ms |
42216 KB |
Output is correct |
22 |
Correct |
225 ms |
42052 KB |
Output is correct |
23 |
Correct |
260 ms |
41192 KB |
Output is correct |
24 |
Correct |
244 ms |
41052 KB |
Output is correct |
25 |
Correct |
244 ms |
42992 KB |
Output is correct |
26 |
Correct |
261 ms |
41540 KB |
Output is correct |
27 |
Correct |
246 ms |
41408 KB |
Output is correct |
28 |
Correct |
227 ms |
43956 KB |
Output is correct |
29 |
Correct |
223 ms |
39872 KB |
Output is correct |
30 |
Correct |
227 ms |
42180 KB |
Output is correct |
31 |
Correct |
257 ms |
41944 KB |
Output is correct |
32 |
Correct |
277 ms |
41880 KB |
Output is correct |
33 |
Correct |
244 ms |
41008 KB |
Output is correct |
34 |
Correct |
257 ms |
40988 KB |
Output is correct |
35 |
Correct |
259 ms |
41420 KB |
Output is correct |
36 |
Correct |
225 ms |
40136 KB |
Output is correct |
37 |
Correct |
232 ms |
41976 KB |
Output is correct |
38 |
Correct |
228 ms |
40008 KB |
Output is correct |
39 |
Correct |
255 ms |
41392 KB |
Output is correct |
40 |
Correct |
233 ms |
41004 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 |
328 KB |
Output is correct |
5 |
Correct |
1 ms |
320 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
328 KB |
Output is correct |
8 |
Correct |
1 ms |
324 KB |
Output is correct |
9 |
Correct |
1 ms |
328 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
56 ms |
11812 KB |
Output is correct |
12 |
Correct |
57 ms |
12052 KB |
Output is correct |
13 |
Correct |
56 ms |
11796 KB |
Output is correct |
14 |
Correct |
69 ms |
11752 KB |
Output is correct |
15 |
Correct |
60 ms |
11968 KB |
Output is correct |
16 |
Correct |
69 ms |
11916 KB |
Output is correct |
17 |
Correct |
61 ms |
11792 KB |
Output is correct |
18 |
Correct |
56 ms |
12028 KB |
Output is correct |
19 |
Correct |
71 ms |
11792 KB |
Output is correct |
20 |
Correct |
73 ms |
11848 KB |
Output is correct |
21 |
Correct |
62 ms |
11808 KB |
Output is correct |
22 |
Correct |
75 ms |
11748 KB |
Output is correct |
23 |
Correct |
56 ms |
11748 KB |
Output is correct |
24 |
Correct |
64 ms |
11848 KB |
Output is correct |
25 |
Correct |
61 ms |
11840 KB |
Output is correct |
26 |
Correct |
58 ms |
11740 KB |
Output is correct |
27 |
Correct |
56 ms |
11864 KB |
Output is correct |
28 |
Correct |
54 ms |
11748 KB |
Output is correct |
29 |
Correct |
56 ms |
11812 KB |
Output is correct |
30 |
Correct |
59 ms |
11800 KB |
Output is correct |
31 |
Correct |
55 ms |
11816 KB |
Output is correct |
32 |
Correct |
64 ms |
11856 KB |
Output is correct |
33 |
Correct |
63 ms |
11836 KB |
Output is correct |
34 |
Correct |
69 ms |
11712 KB |
Output is correct |
35 |
Correct |
60 ms |
11800 KB |
Output is correct |
36 |
Correct |
60 ms |
11752 KB |
Output is correct |
37 |
Correct |
61 ms |
11800 KB |
Output is correct |
38 |
Correct |
62 ms |
11748 KB |
Output is correct |
39 |
Correct |
64 ms |
11752 KB |
Output is correct |
40 |
Correct |
59 ms |
11804 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 |
328 KB |
Output is correct |
5 |
Correct |
1 ms |
320 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
328 KB |
Output is correct |
8 |
Correct |
1 ms |
324 KB |
Output is correct |
9 |
Correct |
1 ms |
328 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
207 ms |
42184 KB |
Output is correct |
12 |
Correct |
208 ms |
41764 KB |
Output is correct |
13 |
Correct |
210 ms |
41020 KB |
Output is correct |
14 |
Correct |
203 ms |
41120 KB |
Output is correct |
15 |
Correct |
216 ms |
42180 KB |
Output is correct |
16 |
Correct |
221 ms |
41284 KB |
Output is correct |
17 |
Correct |
223 ms |
41284 KB |
Output is correct |
18 |
Correct |
202 ms |
43132 KB |
Output is correct |
19 |
Correct |
194 ms |
40260 KB |
Output is correct |
20 |
Correct |
216 ms |
41804 KB |
Output is correct |
21 |
Correct |
226 ms |
42216 KB |
Output is correct |
22 |
Correct |
225 ms |
42052 KB |
Output is correct |
23 |
Correct |
260 ms |
41192 KB |
Output is correct |
24 |
Correct |
244 ms |
41052 KB |
Output is correct |
25 |
Correct |
244 ms |
42992 KB |
Output is correct |
26 |
Correct |
261 ms |
41540 KB |
Output is correct |
27 |
Correct |
246 ms |
41408 KB |
Output is correct |
28 |
Correct |
227 ms |
43956 KB |
Output is correct |
29 |
Correct |
223 ms |
39872 KB |
Output is correct |
30 |
Correct |
227 ms |
42180 KB |
Output is correct |
31 |
Correct |
257 ms |
41944 KB |
Output is correct |
32 |
Correct |
277 ms |
41880 KB |
Output is correct |
33 |
Correct |
244 ms |
41008 KB |
Output is correct |
34 |
Correct |
257 ms |
40988 KB |
Output is correct |
35 |
Correct |
259 ms |
41420 KB |
Output is correct |
36 |
Correct |
225 ms |
40136 KB |
Output is correct |
37 |
Correct |
232 ms |
41976 KB |
Output is correct |
38 |
Correct |
228 ms |
40008 KB |
Output is correct |
39 |
Correct |
255 ms |
41392 KB |
Output is correct |
40 |
Correct |
233 ms |
41004 KB |
Output is correct |
41 |
Correct |
56 ms |
11812 KB |
Output is correct |
42 |
Correct |
57 ms |
12052 KB |
Output is correct |
43 |
Correct |
56 ms |
11796 KB |
Output is correct |
44 |
Correct |
69 ms |
11752 KB |
Output is correct |
45 |
Correct |
60 ms |
11968 KB |
Output is correct |
46 |
Correct |
69 ms |
11916 KB |
Output is correct |
47 |
Correct |
61 ms |
11792 KB |
Output is correct |
48 |
Correct |
56 ms |
12028 KB |
Output is correct |
49 |
Correct |
71 ms |
11792 KB |
Output is correct |
50 |
Correct |
73 ms |
11848 KB |
Output is correct |
51 |
Correct |
62 ms |
11808 KB |
Output is correct |
52 |
Correct |
75 ms |
11748 KB |
Output is correct |
53 |
Correct |
56 ms |
11748 KB |
Output is correct |
54 |
Correct |
64 ms |
11848 KB |
Output is correct |
55 |
Correct |
61 ms |
11840 KB |
Output is correct |
56 |
Correct |
58 ms |
11740 KB |
Output is correct |
57 |
Correct |
56 ms |
11864 KB |
Output is correct |
58 |
Correct |
54 ms |
11748 KB |
Output is correct |
59 |
Correct |
56 ms |
11812 KB |
Output is correct |
60 |
Correct |
59 ms |
11800 KB |
Output is correct |
61 |
Correct |
55 ms |
11816 KB |
Output is correct |
62 |
Correct |
64 ms |
11856 KB |
Output is correct |
63 |
Correct |
63 ms |
11836 KB |
Output is correct |
64 |
Correct |
69 ms |
11712 KB |
Output is correct |
65 |
Correct |
60 ms |
11800 KB |
Output is correct |
66 |
Correct |
60 ms |
11752 KB |
Output is correct |
67 |
Correct |
61 ms |
11800 KB |
Output is correct |
68 |
Correct |
62 ms |
11748 KB |
Output is correct |
69 |
Correct |
64 ms |
11752 KB |
Output is correct |
70 |
Correct |
59 ms |
11804 KB |
Output is correct |
71 |
Runtime error |
109 ms |
65540 KB |
Execution killed with signal 9 |
72 |
Halted |
0 ms |
0 KB |
- |