#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 21;
int dp[1 << N], dp2[1 << N], cnt[3], bads[N];
string ss;
int main()
{
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int len, q;
cin >> len >> q >> ss;
for (int i = 0; i < (1 << len); i++)
{
dp[i] = ss[i] - '0';
dp2[i] = ss[i] - '0';
}
for (int i = 0; i < len; i++)
{
for (int mask = 0; mask < (1 << len); mask++)
{
if (!((mask >> i) & 1)) dp[mask] += dp[mask ^ (1 << i)];
else dp2[mask] += dp2[mask ^ (1 << i)];
}
}
for (int jj = 0; jj < q; jj++)
{
string s2;
cin >> s2;
reverse(s2.begin(), s2.end());
for (int j = 0; j < 3; j++) cnt[j] = 0;
for (int i = 0; i < len; i++)
{
if (s2[i] == '?') cnt[0]++;
else cnt[s2[i] - '0' + 1]++;
}
int ans = 0;
if (cnt[0] <= 6)
{
int msk = 0;
for (int i = 0; i < len; i++)
{
if (s2[i] == '1') msk ^= (1 << i);
}
int ttt = 0;
for (int i = 0; i < len; i++)
{
if (s2[i] == '?') bads[ttt++] = i;
}
for (int mask = 0; mask < (1 << ttt); mask++)
{
int msk2 = msk;
for (int i = 0; i < ttt; i++)
{
if ((mask >> i) & 1) msk2 |= (1 << bads[i]);
}
ans += ss[msk2] - '0';
}
cout << ans << '\n';
continue;
}
if (cnt[1] <= 6)
{
int msk = 0;
for (int i = 0; i < len; i++)
{
if (s2[i] == '1') msk ^= (1 << i);
}
int ttt = 0;
for (int i = 0; i < len; i++)
{
if (s2[i] == '0') bads[ttt++] = i;
}
for (int mask = 0; mask < (1 << ttt); mask++)
{
int msk2 = msk;
for (int i = 0; i < ttt; i++)
{
if ((mask >> i) & 1) msk2 |= (1 << bads[i]);
}
int f = 1;
if (__builtin_parity(mask)) f = -1;
ans += f * dp[msk2];
}
cout << ans << '\n';
continue;
}
int msk = 0;
for (int i = 0; i < len; i++)
{
if (s2[i] == '?') msk ^= (1 << i);
}
int ttt = 0;
for (int i = 0; i < len; i++)
{
if (s2[i] == '1') bads[ttt++] = i;
}
for (int mask = 0; mask < (1 << ttt); mask++)
{
int msk2 = msk;
for (int i = 0; i < ttt; i++)
{
if ((mask >> i) & 1) msk2 |= (1 << bads[i]);
}
int f = 1;
if (__builtin_parity(mask)) f = -1;
ans += f * dp2[msk2];
}
cout << ans << '\n';
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
340 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
328 KB |
Output is correct |
6 |
Correct |
1 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 |
336 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
340 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
328 KB |
Output is correct |
6 |
Correct |
1 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 |
336 KB |
Output is correct |
11 |
Correct |
500 ms |
15048 KB |
Output is correct |
12 |
Correct |
555 ms |
14732 KB |
Output is correct |
13 |
Correct |
385 ms |
14004 KB |
Output is correct |
14 |
Correct |
323 ms |
14100 KB |
Output is correct |
15 |
Correct |
877 ms |
15136 KB |
Output is correct |
16 |
Correct |
445 ms |
14260 KB |
Output is correct |
17 |
Correct |
439 ms |
14140 KB |
Output is correct |
18 |
Correct |
255 ms |
16076 KB |
Output is correct |
19 |
Correct |
266 ms |
13124 KB |
Output is correct |
20 |
Correct |
551 ms |
14660 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
340 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
328 KB |
Output is correct |
6 |
Correct |
1 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 |
336 KB |
Output is correct |
11 |
Correct |
500 ms |
15048 KB |
Output is correct |
12 |
Correct |
555 ms |
14732 KB |
Output is correct |
13 |
Correct |
385 ms |
14004 KB |
Output is correct |
14 |
Correct |
323 ms |
14100 KB |
Output is correct |
15 |
Correct |
877 ms |
15136 KB |
Output is correct |
16 |
Correct |
445 ms |
14260 KB |
Output is correct |
17 |
Correct |
439 ms |
14140 KB |
Output is correct |
18 |
Correct |
255 ms |
16076 KB |
Output is correct |
19 |
Correct |
266 ms |
13124 KB |
Output is correct |
20 |
Correct |
551 ms |
14660 KB |
Output is correct |
21 |
Correct |
330 ms |
18092 KB |
Output is correct |
22 |
Correct |
755 ms |
18456 KB |
Output is correct |
23 |
Correct |
509 ms |
17300 KB |
Output is correct |
24 |
Correct |
450 ms |
17132 KB |
Output is correct |
25 |
Correct |
390 ms |
19064 KB |
Output is correct |
26 |
Correct |
606 ms |
17620 KB |
Output is correct |
27 |
Correct |
636 ms |
17488 KB |
Output is correct |
28 |
Correct |
242 ms |
20208 KB |
Output is correct |
29 |
Correct |
302 ms |
16104 KB |
Output is correct |
30 |
Correct |
563 ms |
18208 KB |
Output is correct |
31 |
Correct |
1002 ms |
18344 KB |
Output is correct |
32 |
Correct |
609 ms |
18064 KB |
Output is correct |
33 |
Correct |
433 ms |
16936 KB |
Output is correct |
34 |
Correct |
455 ms |
17068 KB |
Output is correct |
35 |
Correct |
589 ms |
17584 KB |
Output is correct |
36 |
Correct |
247 ms |
16084 KB |
Output is correct |
37 |
Correct |
990 ms |
18116 KB |
Output is correct |
38 |
Correct |
310 ms |
16076 KB |
Output is correct |
39 |
Correct |
519 ms |
17304 KB |
Output is correct |
40 |
Correct |
440 ms |
17096 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
340 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
328 KB |
Output is correct |
6 |
Correct |
1 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 |
336 KB |
Output is correct |
11 |
Correct |
58 ms |
11896 KB |
Output is correct |
12 |
Correct |
55 ms |
11952 KB |
Output is correct |
13 |
Incorrect |
63 ms |
11856 KB |
Output isn't correct |
14 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
340 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
328 KB |
Output is correct |
6 |
Correct |
1 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 |
336 KB |
Output is correct |
11 |
Correct |
500 ms |
15048 KB |
Output is correct |
12 |
Correct |
555 ms |
14732 KB |
Output is correct |
13 |
Correct |
385 ms |
14004 KB |
Output is correct |
14 |
Correct |
323 ms |
14100 KB |
Output is correct |
15 |
Correct |
877 ms |
15136 KB |
Output is correct |
16 |
Correct |
445 ms |
14260 KB |
Output is correct |
17 |
Correct |
439 ms |
14140 KB |
Output is correct |
18 |
Correct |
255 ms |
16076 KB |
Output is correct |
19 |
Correct |
266 ms |
13124 KB |
Output is correct |
20 |
Correct |
551 ms |
14660 KB |
Output is correct |
21 |
Correct |
330 ms |
18092 KB |
Output is correct |
22 |
Correct |
755 ms |
18456 KB |
Output is correct |
23 |
Correct |
509 ms |
17300 KB |
Output is correct |
24 |
Correct |
450 ms |
17132 KB |
Output is correct |
25 |
Correct |
390 ms |
19064 KB |
Output is correct |
26 |
Correct |
606 ms |
17620 KB |
Output is correct |
27 |
Correct |
636 ms |
17488 KB |
Output is correct |
28 |
Correct |
242 ms |
20208 KB |
Output is correct |
29 |
Correct |
302 ms |
16104 KB |
Output is correct |
30 |
Correct |
563 ms |
18208 KB |
Output is correct |
31 |
Correct |
1002 ms |
18344 KB |
Output is correct |
32 |
Correct |
609 ms |
18064 KB |
Output is correct |
33 |
Correct |
433 ms |
16936 KB |
Output is correct |
34 |
Correct |
455 ms |
17068 KB |
Output is correct |
35 |
Correct |
589 ms |
17584 KB |
Output is correct |
36 |
Correct |
247 ms |
16084 KB |
Output is correct |
37 |
Correct |
990 ms |
18116 KB |
Output is correct |
38 |
Correct |
310 ms |
16076 KB |
Output is correct |
39 |
Correct |
519 ms |
17304 KB |
Output is correct |
40 |
Correct |
440 ms |
17096 KB |
Output is correct |
41 |
Correct |
58 ms |
11896 KB |
Output is correct |
42 |
Correct |
55 ms |
11952 KB |
Output is correct |
43 |
Incorrect |
63 ms |
11856 KB |
Output isn't correct |
44 |
Halted |
0 ms |
0 KB |
- |