#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 = 13;
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;
}
}
if (bits_cnt <= MAGIC) {
int res = s[shift] - '0';
for (int submask = mask; submask > 0; submask = (submask - 1) & mask) {
res += s[submask + shift] - '0';
}
ans[j] = res;
} else {
shifts[shift].emplace_back(mask, j);
}
}
int n = 1 << k;
for (const auto& [shift, values] : shifts) {
memset(dp, 0, sizeof(dp));
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 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 |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 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 |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 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 |
239 ms |
8188 KB |
Output is correct |
12 |
Correct |
247 ms |
7788 KB |
Output is correct |
13 |
Correct |
193 ms |
7124 KB |
Output is correct |
14 |
Correct |
180 ms |
7144 KB |
Output is correct |
15 |
Correct |
250 ms |
8268 KB |
Output is correct |
16 |
Correct |
198 ms |
7352 KB |
Output is correct |
17 |
Correct |
193 ms |
7292 KB |
Output is correct |
18 |
Correct |
1204 ms |
9284 KB |
Output is correct |
19 |
Correct |
142 ms |
6180 KB |
Output is correct |
20 |
Correct |
247 ms |
7832 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 |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 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 |
239 ms |
8188 KB |
Output is correct |
12 |
Correct |
247 ms |
7788 KB |
Output is correct |
13 |
Correct |
193 ms |
7124 KB |
Output is correct |
14 |
Correct |
180 ms |
7144 KB |
Output is correct |
15 |
Correct |
250 ms |
8268 KB |
Output is correct |
16 |
Correct |
198 ms |
7352 KB |
Output is correct |
17 |
Correct |
193 ms |
7292 KB |
Output is correct |
18 |
Correct |
1204 ms |
9284 KB |
Output is correct |
19 |
Correct |
142 ms |
6180 KB |
Output is correct |
20 |
Correct |
247 ms |
7832 KB |
Output is correct |
21 |
Correct |
338 ms |
8156 KB |
Output is correct |
22 |
Correct |
428 ms |
8396 KB |
Output is correct |
23 |
Correct |
211 ms |
7376 KB |
Output is correct |
24 |
Correct |
192 ms |
7160 KB |
Output is correct |
25 |
Correct |
472 ms |
9200 KB |
Output is correct |
26 |
Correct |
241 ms |
7756 KB |
Output is correct |
27 |
Correct |
240 ms |
7636 KB |
Output is correct |
28 |
Execution timed out |
2066 ms |
1376 KB |
Time limit exceeded |
29 |
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 |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 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 |
84 ms |
2416 KB |
Output is correct |
12 |
Correct |
132 ms |
5960 KB |
Output is correct |
13 |
Correct |
20 ms |
2416 KB |
Output is correct |
14 |
Correct |
23 ms |
2416 KB |
Output is correct |
15 |
Correct |
458 ms |
2416 KB |
Output is correct |
16 |
Correct |
32 ms |
2416 KB |
Output is correct |
17 |
Correct |
768 ms |
5908 KB |
Output is correct |
18 |
Correct |
35 ms |
6896 KB |
Output is correct |
19 |
Correct |
13 ms |
2416 KB |
Output is correct |
20 |
Execution timed out |
2064 ms |
5880 KB |
Time limit exceeded |
21 |
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 |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 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 |
239 ms |
8188 KB |
Output is correct |
12 |
Correct |
247 ms |
7788 KB |
Output is correct |
13 |
Correct |
193 ms |
7124 KB |
Output is correct |
14 |
Correct |
180 ms |
7144 KB |
Output is correct |
15 |
Correct |
250 ms |
8268 KB |
Output is correct |
16 |
Correct |
198 ms |
7352 KB |
Output is correct |
17 |
Correct |
193 ms |
7292 KB |
Output is correct |
18 |
Correct |
1204 ms |
9284 KB |
Output is correct |
19 |
Correct |
142 ms |
6180 KB |
Output is correct |
20 |
Correct |
247 ms |
7832 KB |
Output is correct |
21 |
Correct |
338 ms |
8156 KB |
Output is correct |
22 |
Correct |
428 ms |
8396 KB |
Output is correct |
23 |
Correct |
211 ms |
7376 KB |
Output is correct |
24 |
Correct |
192 ms |
7160 KB |
Output is correct |
25 |
Correct |
472 ms |
9200 KB |
Output is correct |
26 |
Correct |
241 ms |
7756 KB |
Output is correct |
27 |
Correct |
240 ms |
7636 KB |
Output is correct |
28 |
Execution timed out |
2066 ms |
1376 KB |
Time limit exceeded |
29 |
Halted |
0 ms |
0 KB |
- |