#include <bits/stdc++.h>
using namespace std;
#define dbg(x) cerr << #x << ": " << x << endl;
constexpr int MAX_Q = 1e6 + 5;
constexpr int MAX_BIT = 20;
constexpr int MAX_N = 1 << 20;
constexpr int MAGIC = 11;
int ans[MAX_Q];
int dp[MAX_N];
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int k, q;
cin >> k >> q;
string s;
cin >> s;
map<int, vector<pair<int, int>>> shifts;
for (int j = 0; j < q; ++j) {
string t;
cin >> t;
reverse(t.begin(), t.end());
int mask = 0;
int shift = 0;
int bits_cnt = 0;
for (int i = 0; i < k; ++i) {
if (t[i] == '?') {
mask |= 1 << i;
++bits_cnt;
} else if (t[i] == '1') {
shift |= 1 << i;
}
}
shifts[shift].emplace_back(mask, j);
}
int n = 1 << k;
for (const auto& [shift, values] : shifts) {
if (values.size() >= MAGIC) {
for (int mask = 0; (mask | shift) < n; ++mask) {
if ((mask & shift) == 0) {
dp[mask] = s[mask | shift] - '0';
}
}
for (int bit = 0; bit < k; ++bit) {
if (shift & (1 << bit)) continue;
for (int mask = 0; (mask | shift) < n; ++mask) {
if ((mask & shift) != 0) continue;
if (mask & (1 << bit)) {
dp[mask] += dp[mask ^ (1 << bit)];
}
}
}
for (const auto& [mask, idx] : values) {
ans[idx] = dp[mask];
}
for (int mask = 0; (mask | shift) < n; ++mask) {
dp[mask] = 0;
}
} else {
for (const auto& [mask, idx] : values) {
ans[idx] = s[shift] - '0';
for (int submask = mask; submask > 0; submask = (submask - 1) & mask) {
ans[idx] += s[submask | shift] - '0';
}
}
}
}
for (int i = 0; i < q; ++i) {
cout << ans[i] << '\n';
}
return 0;
}
/*
4
1
3141592653589793
?01?
*/
# |
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 |
340 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 |
1 ms |
376 KB |
Output is correct |
8 |
Correct |
0 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 |
340 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 |
1 ms |
376 KB |
Output is correct |
8 |
Correct |
0 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 |
214 ms |
17232 KB |
Output is correct |
12 |
Correct |
194 ms |
15816 KB |
Output is correct |
13 |
Correct |
230 ms |
17620 KB |
Output is correct |
14 |
Correct |
216 ms |
19660 KB |
Output is correct |
15 |
Correct |
229 ms |
20316 KB |
Output is correct |
16 |
Correct |
267 ms |
19356 KB |
Output is correct |
17 |
Correct |
262 ms |
20152 KB |
Output is correct |
18 |
Correct |
146 ms |
17212 KB |
Output is correct |
19 |
Correct |
202 ms |
15236 KB |
Output is correct |
20 |
Correct |
245 ms |
17632 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 |
340 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 |
1 ms |
376 KB |
Output is correct |
8 |
Correct |
0 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 |
214 ms |
17232 KB |
Output is correct |
12 |
Correct |
194 ms |
15816 KB |
Output is correct |
13 |
Correct |
230 ms |
17620 KB |
Output is correct |
14 |
Correct |
216 ms |
19660 KB |
Output is correct |
15 |
Correct |
229 ms |
20316 KB |
Output is correct |
16 |
Correct |
267 ms |
19356 KB |
Output is correct |
17 |
Correct |
262 ms |
20152 KB |
Output is correct |
18 |
Correct |
146 ms |
17212 KB |
Output is correct |
19 |
Correct |
202 ms |
15236 KB |
Output is correct |
20 |
Correct |
245 ms |
17632 KB |
Output is correct |
21 |
Correct |
359 ms |
23652 KB |
Output is correct |
22 |
Correct |
208 ms |
16428 KB |
Output is correct |
23 |
Correct |
544 ms |
18992 KB |
Output is correct |
24 |
Correct |
310 ms |
19596 KB |
Output is correct |
25 |
Correct |
436 ms |
20548 KB |
Output is correct |
26 |
Correct |
683 ms |
20844 KB |
Output is correct |
27 |
Correct |
698 ms |
21196 KB |
Output is correct |
28 |
Correct |
166 ms |
18400 KB |
Output is correct |
29 |
Correct |
322 ms |
21612 KB |
Output is correct |
30 |
Correct |
735 ms |
21904 KB |
Output is correct |
31 |
Correct |
576 ms |
20112 KB |
Output is correct |
32 |
Correct |
324 ms |
20268 KB |
Output is correct |
33 |
Correct |
297 ms |
18724 KB |
Output is correct |
34 |
Correct |
672 ms |
20204 KB |
Output is correct |
35 |
Correct |
719 ms |
21196 KB |
Output is correct |
36 |
Correct |
155 ms |
14240 KB |
Output is correct |
37 |
Correct |
199 ms |
16172 KB |
Output is correct |
38 |
Correct |
706 ms |
19872 KB |
Output is correct |
39 |
Correct |
361 ms |
22780 KB |
Output is correct |
40 |
Correct |
336 ms |
18764 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 |
340 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 |
1 ms |
376 KB |
Output is correct |
8 |
Correct |
0 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 |
207 ms |
6508 KB |
Output is correct |
12 |
Correct |
38 ms |
6780 KB |
Output is correct |
13 |
Execution timed out |
2082 ms |
9228 KB |
Time limit exceeded |
14 |
Halted |
0 ms |
0 KB |
- |
# |
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 |
340 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 |
1 ms |
376 KB |
Output is correct |
8 |
Correct |
0 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 |
214 ms |
17232 KB |
Output is correct |
12 |
Correct |
194 ms |
15816 KB |
Output is correct |
13 |
Correct |
230 ms |
17620 KB |
Output is correct |
14 |
Correct |
216 ms |
19660 KB |
Output is correct |
15 |
Correct |
229 ms |
20316 KB |
Output is correct |
16 |
Correct |
267 ms |
19356 KB |
Output is correct |
17 |
Correct |
262 ms |
20152 KB |
Output is correct |
18 |
Correct |
146 ms |
17212 KB |
Output is correct |
19 |
Correct |
202 ms |
15236 KB |
Output is correct |
20 |
Correct |
245 ms |
17632 KB |
Output is correct |
21 |
Correct |
359 ms |
23652 KB |
Output is correct |
22 |
Correct |
208 ms |
16428 KB |
Output is correct |
23 |
Correct |
544 ms |
18992 KB |
Output is correct |
24 |
Correct |
310 ms |
19596 KB |
Output is correct |
25 |
Correct |
436 ms |
20548 KB |
Output is correct |
26 |
Correct |
683 ms |
20844 KB |
Output is correct |
27 |
Correct |
698 ms |
21196 KB |
Output is correct |
28 |
Correct |
166 ms |
18400 KB |
Output is correct |
29 |
Correct |
322 ms |
21612 KB |
Output is correct |
30 |
Correct |
735 ms |
21904 KB |
Output is correct |
31 |
Correct |
576 ms |
20112 KB |
Output is correct |
32 |
Correct |
324 ms |
20268 KB |
Output is correct |
33 |
Correct |
297 ms |
18724 KB |
Output is correct |
34 |
Correct |
672 ms |
20204 KB |
Output is correct |
35 |
Correct |
719 ms |
21196 KB |
Output is correct |
36 |
Correct |
155 ms |
14240 KB |
Output is correct |
37 |
Correct |
199 ms |
16172 KB |
Output is correct |
38 |
Correct |
706 ms |
19872 KB |
Output is correct |
39 |
Correct |
361 ms |
22780 KB |
Output is correct |
40 |
Correct |
336 ms |
18764 KB |
Output is correct |
41 |
Correct |
207 ms |
6508 KB |
Output is correct |
42 |
Correct |
38 ms |
6780 KB |
Output is correct |
43 |
Execution timed out |
2082 ms |
9228 KB |
Time limit exceeded |
44 |
Halted |
0 ms |
0 KB |
- |