#include <bits/stdc++.h>
using namespace std;
#pragma GCC target ("popcnt")
const int B = 20;
int dp[1 << B], dq[1 << B], arr[1 << B];
int n, q;
int main () {
ios::sync_with_stdio(0); cin.tie(0);
cin >> n >> q;
for (int i = 0; i < (1 << n); i++) {
char s; cin >> s; int x = s - '0';
arr[i] = dp[i] = dq[i] = x;
}
for (int i = 0; i < n; i++) {
for (int j = 0; j < (1 << n); j++) {
if (!(j & (1 << i))) dq[j] += dq[j ^ (1 << i)];
}
for (int j = (1 << n) - 1; j >= 0; j--) {
if (j & (1 << i)) dp[j] += dp[j ^ (1 << i)];
}
}
while (q--) {
string s; cin >> s;
int a = 0, b = 0, c = 0;
for (int i = 0; i < n; i++) {
if (s[i] == '0') {
a ^= 1 << (n - i - 1);
} else if (s[i] == '1') {
b ^= 1 << (n - i - 1);
} else {
c ^= 1 << (n - i - 1);
}
}
int ret = 0;
if (__builtin_popcount(a) <= 6) {
int m = a;
while (true) {
if (__builtin_popcount(m) & 1) {
ret -= dq[b | m];
} else {
ret += dq[b | m];
}
if (m == 0) break;
m = (m - 1) & a;
}
} else if (__builtin_popcount(b) <= 6) {
int m = b;
while (true) {
if (__builtin_popcount(m) & 1) {
ret -= dp[c | m];
} else {
ret += dp[c | m];
}
if (m == 0) break;
m = (m - 1) & b;
}
} else {
int m = c;
while (true) {
ret += arr[b ^ m];
if (m == 0) break;
m = (m - 1) & c;
}
}
cout << (ret < 0 ? -ret : ret) << '\n';
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4568 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
2 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4568 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
2 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
165 ms |
8532 KB |
Output is correct |
12 |
Correct |
201 ms |
8020 KB |
Output is correct |
13 |
Correct |
225 ms |
7316 KB |
Output is correct |
14 |
Correct |
215 ms |
7620 KB |
Output is correct |
15 |
Correct |
182 ms |
8520 KB |
Output is correct |
16 |
Correct |
202 ms |
7736 KB |
Output is correct |
17 |
Correct |
213 ms |
7508 KB |
Output is correct |
18 |
Correct |
139 ms |
9696 KB |
Output is correct |
19 |
Correct |
197 ms |
6484 KB |
Output is correct |
20 |
Correct |
171 ms |
8056 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4568 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
2 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
165 ms |
8532 KB |
Output is correct |
12 |
Correct |
201 ms |
8020 KB |
Output is correct |
13 |
Correct |
225 ms |
7316 KB |
Output is correct |
14 |
Correct |
215 ms |
7620 KB |
Output is correct |
15 |
Correct |
182 ms |
8520 KB |
Output is correct |
16 |
Correct |
202 ms |
7736 KB |
Output is correct |
17 |
Correct |
213 ms |
7508 KB |
Output is correct |
18 |
Correct |
139 ms |
9696 KB |
Output is correct |
19 |
Correct |
197 ms |
6484 KB |
Output is correct |
20 |
Correct |
171 ms |
8056 KB |
Output is correct |
21 |
Correct |
202 ms |
8548 KB |
Output is correct |
22 |
Correct |
224 ms |
8636 KB |
Output is correct |
23 |
Correct |
321 ms |
7688 KB |
Output is correct |
24 |
Correct |
251 ms |
7584 KB |
Output is correct |
25 |
Correct |
208 ms |
9380 KB |
Output is correct |
26 |
Correct |
244 ms |
7888 KB |
Output is correct |
27 |
Correct |
255 ms |
7888 KB |
Output is correct |
28 |
Correct |
155 ms |
10428 KB |
Output is correct |
29 |
Correct |
275 ms |
6484 KB |
Output is correct |
30 |
Correct |
205 ms |
8532 KB |
Output is correct |
31 |
Correct |
242 ms |
8692 KB |
Output is correct |
32 |
Correct |
239 ms |
8528 KB |
Output is correct |
33 |
Correct |
208 ms |
7452 KB |
Output is correct |
34 |
Correct |
252 ms |
7508 KB |
Output is correct |
35 |
Correct |
253 ms |
7872 KB |
Output is correct |
36 |
Correct |
139 ms |
6412 KB |
Output is correct |
37 |
Correct |
183 ms |
8516 KB |
Output is correct |
38 |
Correct |
253 ms |
6432 KB |
Output is correct |
39 |
Correct |
239 ms |
7768 KB |
Output is correct |
40 |
Correct |
240 ms |
7440 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4568 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
2 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
57 ms |
12884 KB |
Output is correct |
12 |
Correct |
66 ms |
12880 KB |
Output is correct |
13 |
Correct |
62 ms |
12880 KB |
Output is correct |
14 |
Correct |
69 ms |
12884 KB |
Output is correct |
15 |
Correct |
58 ms |
12996 KB |
Output is correct |
16 |
Correct |
66 ms |
12764 KB |
Output is correct |
17 |
Correct |
65 ms |
12796 KB |
Output is correct |
18 |
Correct |
57 ms |
13092 KB |
Output is correct |
19 |
Correct |
56 ms |
12764 KB |
Output is correct |
20 |
Correct |
59 ms |
12880 KB |
Output is correct |
21 |
Correct |
60 ms |
13000 KB |
Output is correct |
22 |
Correct |
66 ms |
12880 KB |
Output is correct |
23 |
Correct |
61 ms |
12760 KB |
Output is correct |
24 |
Correct |
67 ms |
12884 KB |
Output is correct |
25 |
Correct |
70 ms |
12768 KB |
Output is correct |
26 |
Correct |
53 ms |
12636 KB |
Output is correct |
27 |
Correct |
56 ms |
12756 KB |
Output is correct |
28 |
Correct |
60 ms |
12636 KB |
Output is correct |
29 |
Correct |
61 ms |
12764 KB |
Output is correct |
30 |
Correct |
66 ms |
12880 KB |
Output is correct |
31 |
Correct |
63 ms |
12744 KB |
Output is correct |
32 |
Correct |
69 ms |
12752 KB |
Output is correct |
33 |
Correct |
64 ms |
12748 KB |
Output is correct |
34 |
Correct |
58 ms |
12632 KB |
Output is correct |
35 |
Correct |
65 ms |
12880 KB |
Output is correct |
36 |
Correct |
75 ms |
13140 KB |
Output is correct |
37 |
Correct |
62 ms |
12748 KB |
Output is correct |
38 |
Correct |
64 ms |
12880 KB |
Output is correct |
39 |
Correct |
66 ms |
12744 KB |
Output is correct |
40 |
Correct |
68 ms |
12888 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4568 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
2 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
165 ms |
8532 KB |
Output is correct |
12 |
Correct |
201 ms |
8020 KB |
Output is correct |
13 |
Correct |
225 ms |
7316 KB |
Output is correct |
14 |
Correct |
215 ms |
7620 KB |
Output is correct |
15 |
Correct |
182 ms |
8520 KB |
Output is correct |
16 |
Correct |
202 ms |
7736 KB |
Output is correct |
17 |
Correct |
213 ms |
7508 KB |
Output is correct |
18 |
Correct |
139 ms |
9696 KB |
Output is correct |
19 |
Correct |
197 ms |
6484 KB |
Output is correct |
20 |
Correct |
171 ms |
8056 KB |
Output is correct |
21 |
Correct |
202 ms |
8548 KB |
Output is correct |
22 |
Correct |
224 ms |
8636 KB |
Output is correct |
23 |
Correct |
321 ms |
7688 KB |
Output is correct |
24 |
Correct |
251 ms |
7584 KB |
Output is correct |
25 |
Correct |
208 ms |
9380 KB |
Output is correct |
26 |
Correct |
244 ms |
7888 KB |
Output is correct |
27 |
Correct |
255 ms |
7888 KB |
Output is correct |
28 |
Correct |
155 ms |
10428 KB |
Output is correct |
29 |
Correct |
275 ms |
6484 KB |
Output is correct |
30 |
Correct |
205 ms |
8532 KB |
Output is correct |
31 |
Correct |
242 ms |
8692 KB |
Output is correct |
32 |
Correct |
239 ms |
8528 KB |
Output is correct |
33 |
Correct |
208 ms |
7452 KB |
Output is correct |
34 |
Correct |
252 ms |
7508 KB |
Output is correct |
35 |
Correct |
253 ms |
7872 KB |
Output is correct |
36 |
Correct |
139 ms |
6412 KB |
Output is correct |
37 |
Correct |
183 ms |
8516 KB |
Output is correct |
38 |
Correct |
253 ms |
6432 KB |
Output is correct |
39 |
Correct |
239 ms |
7768 KB |
Output is correct |
40 |
Correct |
240 ms |
7440 KB |
Output is correct |
41 |
Correct |
57 ms |
12884 KB |
Output is correct |
42 |
Correct |
66 ms |
12880 KB |
Output is correct |
43 |
Correct |
62 ms |
12880 KB |
Output is correct |
44 |
Correct |
69 ms |
12884 KB |
Output is correct |
45 |
Correct |
58 ms |
12996 KB |
Output is correct |
46 |
Correct |
66 ms |
12764 KB |
Output is correct |
47 |
Correct |
65 ms |
12796 KB |
Output is correct |
48 |
Correct |
57 ms |
13092 KB |
Output is correct |
49 |
Correct |
56 ms |
12764 KB |
Output is correct |
50 |
Correct |
59 ms |
12880 KB |
Output is correct |
51 |
Correct |
60 ms |
13000 KB |
Output is correct |
52 |
Correct |
66 ms |
12880 KB |
Output is correct |
53 |
Correct |
61 ms |
12760 KB |
Output is correct |
54 |
Correct |
67 ms |
12884 KB |
Output is correct |
55 |
Correct |
70 ms |
12768 KB |
Output is correct |
56 |
Correct |
53 ms |
12636 KB |
Output is correct |
57 |
Correct |
56 ms |
12756 KB |
Output is correct |
58 |
Correct |
60 ms |
12636 KB |
Output is correct |
59 |
Correct |
61 ms |
12764 KB |
Output is correct |
60 |
Correct |
66 ms |
12880 KB |
Output is correct |
61 |
Correct |
63 ms |
12744 KB |
Output is correct |
62 |
Correct |
69 ms |
12752 KB |
Output is correct |
63 |
Correct |
64 ms |
12748 KB |
Output is correct |
64 |
Correct |
58 ms |
12632 KB |
Output is correct |
65 |
Correct |
65 ms |
12880 KB |
Output is correct |
66 |
Correct |
75 ms |
13140 KB |
Output is correct |
67 |
Correct |
62 ms |
12748 KB |
Output is correct |
68 |
Correct |
64 ms |
12880 KB |
Output is correct |
69 |
Correct |
66 ms |
12744 KB |
Output is correct |
70 |
Correct |
68 ms |
12888 KB |
Output is correct |
71 |
Correct |
306 ms |
17620 KB |
Output is correct |
72 |
Correct |
368 ms |
18032 KB |
Output is correct |
73 |
Correct |
420 ms |
16260 KB |
Output is correct |
74 |
Correct |
463 ms |
16720 KB |
Output is correct |
75 |
Correct |
336 ms |
18564 KB |
Output is correct |
76 |
Correct |
460 ms |
16980 KB |
Output is correct |
77 |
Correct |
466 ms |
38352 KB |
Output is correct |
78 |
Correct |
264 ms |
42088 KB |
Output is correct |
79 |
Correct |
308 ms |
36044 KB |
Output is correct |
80 |
Correct |
321 ms |
39348 KB |
Output is correct |
81 |
Correct |
400 ms |
39264 KB |
Output is correct |
82 |
Correct |
463 ms |
38340 KB |
Output is correct |
83 |
Correct |
344 ms |
37448 KB |
Output is correct |
84 |
Correct |
543 ms |
38276 KB |
Output is correct |
85 |
Correct |
522 ms |
38592 KB |
Output is correct |
86 |
Correct |
247 ms |
36176 KB |
Output is correct |
87 |
Correct |
310 ms |
39116 KB |
Output is correct |
88 |
Correct |
342 ms |
36788 KB |
Output is correct |
89 |
Correct |
400 ms |
37716 KB |
Output is correct |
90 |
Correct |
434 ms |
38084 KB |
Output is correct |
91 |
Correct |
365 ms |
37512 KB |
Output is correct |
92 |
Correct |
538 ms |
38480 KB |
Output is correct |
93 |
Correct |
511 ms |
38480 KB |
Output is correct |
94 |
Correct |
217 ms |
36052 KB |
Output is correct |
95 |
Correct |
435 ms |
38256 KB |
Output is correct |
96 |
Correct |
432 ms |
38228 KB |
Output is correct |
97 |
Correct |
448 ms |
38360 KB |
Output is correct |
98 |
Correct |
441 ms |
38280 KB |
Output is correct |
99 |
Correct |
429 ms |
38480 KB |
Output is correct |
100 |
Correct |
413 ms |
38228 KB |
Output is correct |