#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] == '?' || s2[i] == '1') 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 |
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 |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
336 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 |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
2 ms |
336 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 |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
336 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 |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
2 ms |
336 KB |
Output is correct |
11 |
Correct |
520 ms |
6224 KB |
Output is correct |
12 |
Correct |
531 ms |
5768 KB |
Output is correct |
13 |
Correct |
348 ms |
5080 KB |
Output is correct |
14 |
Correct |
328 ms |
5116 KB |
Output is correct |
15 |
Correct |
995 ms |
6184 KB |
Output is correct |
16 |
Correct |
474 ms |
5312 KB |
Output is correct |
17 |
Correct |
450 ms |
5296 KB |
Output is correct |
18 |
Correct |
179 ms |
7316 KB |
Output is correct |
19 |
Correct |
257 ms |
4116 KB |
Output is correct |
20 |
Correct |
627 ms |
5768 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 |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
336 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 |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
2 ms |
336 KB |
Output is correct |
11 |
Correct |
520 ms |
6224 KB |
Output is correct |
12 |
Correct |
531 ms |
5768 KB |
Output is correct |
13 |
Correct |
348 ms |
5080 KB |
Output is correct |
14 |
Correct |
328 ms |
5116 KB |
Output is correct |
15 |
Correct |
995 ms |
6184 KB |
Output is correct |
16 |
Correct |
474 ms |
5312 KB |
Output is correct |
17 |
Correct |
450 ms |
5296 KB |
Output is correct |
18 |
Correct |
179 ms |
7316 KB |
Output is correct |
19 |
Correct |
257 ms |
4116 KB |
Output is correct |
20 |
Correct |
627 ms |
5768 KB |
Output is correct |
21 |
Correct |
367 ms |
6272 KB |
Output is correct |
22 |
Correct |
756 ms |
6536 KB |
Output is correct |
23 |
Correct |
519 ms |
5416 KB |
Output is correct |
24 |
Correct |
447 ms |
5192 KB |
Output is correct |
25 |
Correct |
394 ms |
7276 KB |
Output is correct |
26 |
Correct |
636 ms |
5876 KB |
Output is correct |
27 |
Correct |
585 ms |
5716 KB |
Output is correct |
28 |
Correct |
238 ms |
8232 KB |
Output is correct |
29 |
Correct |
280 ms |
4172 KB |
Output is correct |
30 |
Correct |
602 ms |
6332 KB |
Output is correct |
31 |
Correct |
1031 ms |
6312 KB |
Output is correct |
32 |
Correct |
628 ms |
6236 KB |
Output is correct |
33 |
Correct |
391 ms |
5176 KB |
Output is correct |
34 |
Correct |
459 ms |
5428 KB |
Output is correct |
35 |
Correct |
563 ms |
5684 KB |
Output is correct |
36 |
Correct |
224 ms |
4172 KB |
Output is correct |
37 |
Correct |
1020 ms |
6296 KB |
Output is correct |
38 |
Correct |
290 ms |
4348 KB |
Output is correct |
39 |
Correct |
572 ms |
5496 KB |
Output is correct |
40 |
Correct |
435 ms |
5176 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 |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
336 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 |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
2 ms |
336 KB |
Output is correct |
11 |
Correct |
55 ms |
11848 KB |
Output is correct |
12 |
Correct |
56 ms |
11884 KB |
Output is correct |
13 |
Correct |
63 ms |
11724 KB |
Output is correct |
14 |
Correct |
111 ms |
11824 KB |
Output is correct |
15 |
Correct |
66 ms |
12016 KB |
Output is correct |
16 |
Correct |
84 ms |
12076 KB |
Output is correct |
17 |
Correct |
83 ms |
11884 KB |
Output is correct |
18 |
Correct |
44 ms |
12108 KB |
Output is correct |
19 |
Correct |
52 ms |
11804 KB |
Output is correct |
20 |
Correct |
58 ms |
11920 KB |
Output is correct |
21 |
Correct |
67 ms |
11932 KB |
Output is correct |
22 |
Correct |
82 ms |
11848 KB |
Output is correct |
23 |
Correct |
54 ms |
11856 KB |
Output is correct |
24 |
Correct |
110 ms |
11928 KB |
Output is correct |
25 |
Correct |
87 ms |
11852 KB |
Output is correct |
26 |
Correct |
41 ms |
11756 KB |
Output is correct |
27 |
Correct |
51 ms |
12112 KB |
Output is correct |
28 |
Correct |
47 ms |
11756 KB |
Output is correct |
29 |
Correct |
75 ms |
11864 KB |
Output is correct |
30 |
Correct |
83 ms |
11988 KB |
Output is correct |
31 |
Correct |
53 ms |
11992 KB |
Output is correct |
32 |
Correct |
102 ms |
11892 KB |
Output is correct |
33 |
Correct |
105 ms |
11896 KB |
Output is correct |
34 |
Correct |
40 ms |
11820 KB |
Output is correct |
35 |
Correct |
74 ms |
11996 KB |
Output is correct |
36 |
Correct |
75 ms |
11884 KB |
Output is correct |
37 |
Correct |
84 ms |
11928 KB |
Output is correct |
38 |
Correct |
72 ms |
11940 KB |
Output is correct |
39 |
Correct |
76 ms |
11880 KB |
Output is correct |
40 |
Correct |
86 ms |
11932 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 |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
336 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 |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
2 ms |
336 KB |
Output is correct |
11 |
Correct |
520 ms |
6224 KB |
Output is correct |
12 |
Correct |
531 ms |
5768 KB |
Output is correct |
13 |
Correct |
348 ms |
5080 KB |
Output is correct |
14 |
Correct |
328 ms |
5116 KB |
Output is correct |
15 |
Correct |
995 ms |
6184 KB |
Output is correct |
16 |
Correct |
474 ms |
5312 KB |
Output is correct |
17 |
Correct |
450 ms |
5296 KB |
Output is correct |
18 |
Correct |
179 ms |
7316 KB |
Output is correct |
19 |
Correct |
257 ms |
4116 KB |
Output is correct |
20 |
Correct |
627 ms |
5768 KB |
Output is correct |
21 |
Correct |
367 ms |
6272 KB |
Output is correct |
22 |
Correct |
756 ms |
6536 KB |
Output is correct |
23 |
Correct |
519 ms |
5416 KB |
Output is correct |
24 |
Correct |
447 ms |
5192 KB |
Output is correct |
25 |
Correct |
394 ms |
7276 KB |
Output is correct |
26 |
Correct |
636 ms |
5876 KB |
Output is correct |
27 |
Correct |
585 ms |
5716 KB |
Output is correct |
28 |
Correct |
238 ms |
8232 KB |
Output is correct |
29 |
Correct |
280 ms |
4172 KB |
Output is correct |
30 |
Correct |
602 ms |
6332 KB |
Output is correct |
31 |
Correct |
1031 ms |
6312 KB |
Output is correct |
32 |
Correct |
628 ms |
6236 KB |
Output is correct |
33 |
Correct |
391 ms |
5176 KB |
Output is correct |
34 |
Correct |
459 ms |
5428 KB |
Output is correct |
35 |
Correct |
563 ms |
5684 KB |
Output is correct |
36 |
Correct |
224 ms |
4172 KB |
Output is correct |
37 |
Correct |
1020 ms |
6296 KB |
Output is correct |
38 |
Correct |
290 ms |
4348 KB |
Output is correct |
39 |
Correct |
572 ms |
5496 KB |
Output is correct |
40 |
Correct |
435 ms |
5176 KB |
Output is correct |
41 |
Correct |
55 ms |
11848 KB |
Output is correct |
42 |
Correct |
56 ms |
11884 KB |
Output is correct |
43 |
Correct |
63 ms |
11724 KB |
Output is correct |
44 |
Correct |
111 ms |
11824 KB |
Output is correct |
45 |
Correct |
66 ms |
12016 KB |
Output is correct |
46 |
Correct |
84 ms |
12076 KB |
Output is correct |
47 |
Correct |
83 ms |
11884 KB |
Output is correct |
48 |
Correct |
44 ms |
12108 KB |
Output is correct |
49 |
Correct |
52 ms |
11804 KB |
Output is correct |
50 |
Correct |
58 ms |
11920 KB |
Output is correct |
51 |
Correct |
67 ms |
11932 KB |
Output is correct |
52 |
Correct |
82 ms |
11848 KB |
Output is correct |
53 |
Correct |
54 ms |
11856 KB |
Output is correct |
54 |
Correct |
110 ms |
11928 KB |
Output is correct |
55 |
Correct |
87 ms |
11852 KB |
Output is correct |
56 |
Correct |
41 ms |
11756 KB |
Output is correct |
57 |
Correct |
51 ms |
12112 KB |
Output is correct |
58 |
Correct |
47 ms |
11756 KB |
Output is correct |
59 |
Correct |
75 ms |
11864 KB |
Output is correct |
60 |
Correct |
83 ms |
11988 KB |
Output is correct |
61 |
Correct |
53 ms |
11992 KB |
Output is correct |
62 |
Correct |
102 ms |
11892 KB |
Output is correct |
63 |
Correct |
105 ms |
11896 KB |
Output is correct |
64 |
Correct |
40 ms |
11820 KB |
Output is correct |
65 |
Correct |
74 ms |
11996 KB |
Output is correct |
66 |
Correct |
75 ms |
11884 KB |
Output is correct |
67 |
Correct |
84 ms |
11928 KB |
Output is correct |
68 |
Correct |
72 ms |
11940 KB |
Output is correct |
69 |
Correct |
76 ms |
11880 KB |
Output is correct |
70 |
Correct |
86 ms |
11932 KB |
Output is correct |
71 |
Correct |
558 ms |
36176 KB |
Output is correct |
72 |
Correct |
675 ms |
36476 KB |
Output is correct |
73 |
Correct |
812 ms |
34836 KB |
Output is correct |
74 |
Correct |
1516 ms |
35376 KB |
Output is correct |
75 |
Correct |
689 ms |
37368 KB |
Output is correct |
76 |
Correct |
1240 ms |
35712 KB |
Output is correct |
77 |
Correct |
1324 ms |
35412 KB |
Output is correct |
78 |
Correct |
361 ms |
39272 KB |
Output is correct |
79 |
Correct |
470 ms |
33376 KB |
Output is correct |
80 |
Correct |
639 ms |
36396 KB |
Output is correct |
81 |
Correct |
910 ms |
36244 KB |
Output is correct |
82 |
Correct |
1280 ms |
35240 KB |
Output is correct |
83 |
Correct |
711 ms |
34456 KB |
Output is correct |
84 |
Correct |
1230 ms |
35280 KB |
Output is correct |
85 |
Correct |
1167 ms |
35384 KB |
Output is correct |
86 |
Correct |
363 ms |
33280 KB |
Output is correct |
87 |
Correct |
557 ms |
36328 KB |
Output is correct |
88 |
Correct |
466 ms |
33352 KB |
Output is correct |
89 |
Correct |
835 ms |
34948 KB |
Output is correct |
90 |
Correct |
1259 ms |
35260 KB |
Output is correct |
91 |
Correct |
636 ms |
34428 KB |
Output is correct |
92 |
Correct |
1437 ms |
35512 KB |
Output is correct |
93 |
Correct |
1296 ms |
35584 KB |
Output is correct |
94 |
Correct |
349 ms |
33248 KB |
Output is correct |
95 |
Correct |
967 ms |
35348 KB |
Output is correct |
96 |
Correct |
1016 ms |
35348 KB |
Output is correct |
97 |
Correct |
988 ms |
35344 KB |
Output is correct |
98 |
Correct |
1036 ms |
35300 KB |
Output is correct |
99 |
Correct |
1051 ms |
35428 KB |
Output is correct |
100 |
Correct |
965 ms |
35308 KB |
Output is correct |