#include <bits/stdc++.h>
using namespace std;
#define dbg(x) cerr << #x << ": " << x << endl;
constexpr int MAX_BIT = 20;
constexpr int MAX_N = 1 << 20;
constexpr int MAGIC = 6;
int dp_sub[MAX_N];
int dp_super[MAX_N];
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int k, q;
cin >> k >> q;
string s;
cin >> s;
for (int mask = 0; mask < (1 << k); ++mask) {
dp_sub[mask] = s[mask] - '0';
dp_super[mask] = s[mask] - '0';
}
for (int bit = 0; bit < k; ++bit) {
for (int mask = 0; mask < (1 << k); ++mask) {
if (mask & (1 << bit)) {
dp_sub[mask] += dp_sub[mask ^ (1 << bit)];
} else {
dp_super[mask] += dp_super[mask ^ (1 << bit)];
}
}
}
while (q--) {
string t;
cin >> t;
reverse(t.begin(), t.end());
int cnt_null = 0;
int cnt_one = 0;
int cnt_mark = 0;
int mask_null = 0;
int mask_one = 0;
int mask_mark = 0;
for (int i = 0; i < k; ++i) {
if (t[i] == '0') {
++cnt_null;
mask_null |= 1 << i;
} else if (t[i] == '1') {
++cnt_one;
mask_one |= 1 << i;
} else {
++cnt_mark;
mask_mark |= 1 << i;
}
}
int res = 0;
if (cnt_null <= MAGIC) {
res = dp_super[mask_one];
for (int submask = mask_null; submask > 0; submask = (submask - 1) & mask_null) {
int sign = (__builtin_popcount(submask) % 2 == 0 ? 1 : -1);
res += dp_super[submask | mask_one] * sign;
}
} else if (cnt_one <= MAGIC) {
res = dp_sub[mask_mark | mask_one];
for (int submask = mask_one; submask > 0; submask = (submask - 1) & mask_one) {
int sign = (__builtin_popcount(submask) % 2 == 0 ? 1 : -1);
res += dp_sub[(submask ^ mask_one) | mask_mark] * sign;
}
} else {
res = s[mask_one] - '0';
for (int submask = mask_mark; submask > 0; submask = (submask - 1) & mask_mark) {
res += s[submask | mask_one] - '0';
}
}
cout << res << '\n';
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
336 KB |
Output is correct |
3 |
Correct |
1 ms |
332 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 |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
336 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 |
336 KB |
Output is correct |
3 |
Correct |
1 ms |
332 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 |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
336 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
189 ms |
12900 KB |
Output is correct |
12 |
Correct |
290 ms |
12612 KB |
Output is correct |
13 |
Correct |
321 ms |
11740 KB |
Output is correct |
14 |
Correct |
267 ms |
11776 KB |
Output is correct |
15 |
Correct |
222 ms |
12824 KB |
Output is correct |
16 |
Correct |
243 ms |
12056 KB |
Output is correct |
17 |
Correct |
287 ms |
11984 KB |
Output is correct |
18 |
Correct |
161 ms |
9548 KB |
Output is correct |
19 |
Correct |
319 ms |
6532 KB |
Output is correct |
20 |
Correct |
205 ms |
8232 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
336 KB |
Output is correct |
3 |
Correct |
1 ms |
332 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 |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
336 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
189 ms |
12900 KB |
Output is correct |
12 |
Correct |
290 ms |
12612 KB |
Output is correct |
13 |
Correct |
321 ms |
11740 KB |
Output is correct |
14 |
Correct |
267 ms |
11776 KB |
Output is correct |
15 |
Correct |
222 ms |
12824 KB |
Output is correct |
16 |
Correct |
243 ms |
12056 KB |
Output is correct |
17 |
Correct |
287 ms |
11984 KB |
Output is correct |
18 |
Correct |
161 ms |
9548 KB |
Output is correct |
19 |
Correct |
319 ms |
6532 KB |
Output is correct |
20 |
Correct |
205 ms |
8232 KB |
Output is correct |
21 |
Correct |
216 ms |
8064 KB |
Output is correct |
22 |
Correct |
281 ms |
8220 KB |
Output is correct |
23 |
Correct |
460 ms |
7200 KB |
Output is correct |
24 |
Correct |
345 ms |
6988 KB |
Output is correct |
25 |
Correct |
245 ms |
9100 KB |
Output is correct |
26 |
Correct |
306 ms |
7540 KB |
Output is correct |
27 |
Correct |
319 ms |
7440 KB |
Output is correct |
28 |
Correct |
166 ms |
10136 KB |
Output is correct |
29 |
Correct |
410 ms |
6036 KB |
Output is correct |
30 |
Correct |
214 ms |
8268 KB |
Output is correct |
31 |
Correct |
299 ms |
8020 KB |
Output is correct |
32 |
Correct |
286 ms |
8256 KB |
Output is correct |
33 |
Correct |
236 ms |
6932 KB |
Output is correct |
34 |
Correct |
331 ms |
7172 KB |
Output is correct |
35 |
Correct |
336 ms |
7512 KB |
Output is correct |
36 |
Correct |
170 ms |
6040 KB |
Output is correct |
37 |
Correct |
200 ms |
8212 KB |
Output is correct |
38 |
Correct |
347 ms |
6128 KB |
Output is correct |
39 |
Correct |
303 ms |
7260 KB |
Output is correct |
40 |
Correct |
285 ms |
7288 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
336 KB |
Output is correct |
3 |
Correct |
1 ms |
332 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 |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
336 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
40 ms |
11944 KB |
Output is correct |
12 |
Correct |
41 ms |
11972 KB |
Output is correct |
13 |
Correct |
48 ms |
11800 KB |
Output is correct |
14 |
Correct |
65 ms |
11880 KB |
Output is correct |
15 |
Correct |
42 ms |
11992 KB |
Output is correct |
16 |
Correct |
58 ms |
11920 KB |
Output is correct |
17 |
Correct |
59 ms |
11876 KB |
Output is correct |
18 |
Correct |
34 ms |
12100 KB |
Output is correct |
19 |
Correct |
41 ms |
11704 KB |
Output is correct |
20 |
Correct |
42 ms |
11976 KB |
Output is correct |
21 |
Correct |
54 ms |
11972 KB |
Output is correct |
22 |
Correct |
55 ms |
11844 KB |
Output is correct |
23 |
Correct |
42 ms |
11776 KB |
Output is correct |
24 |
Correct |
61 ms |
11848 KB |
Output is correct |
25 |
Correct |
62 ms |
11904 KB |
Output is correct |
26 |
Correct |
39 ms |
11732 KB |
Output is correct |
27 |
Correct |
44 ms |
11944 KB |
Output is correct |
28 |
Correct |
41 ms |
11816 KB |
Output is correct |
29 |
Correct |
46 ms |
11900 KB |
Output is correct |
30 |
Correct |
45 ms |
11848 KB |
Output is correct |
31 |
Correct |
43 ms |
11852 KB |
Output is correct |
32 |
Correct |
62 ms |
11844 KB |
Output is correct |
33 |
Correct |
59 ms |
11820 KB |
Output is correct |
34 |
Correct |
38 ms |
11728 KB |
Output is correct |
35 |
Correct |
52 ms |
11884 KB |
Output is correct |
36 |
Correct |
54 ms |
11848 KB |
Output is correct |
37 |
Correct |
53 ms |
11892 KB |
Output is correct |
38 |
Correct |
53 ms |
11892 KB |
Output is correct |
39 |
Correct |
53 ms |
11900 KB |
Output is correct |
40 |
Correct |
52 ms |
11920 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
336 KB |
Output is correct |
3 |
Correct |
1 ms |
332 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 |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
336 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
189 ms |
12900 KB |
Output is correct |
12 |
Correct |
290 ms |
12612 KB |
Output is correct |
13 |
Correct |
321 ms |
11740 KB |
Output is correct |
14 |
Correct |
267 ms |
11776 KB |
Output is correct |
15 |
Correct |
222 ms |
12824 KB |
Output is correct |
16 |
Correct |
243 ms |
12056 KB |
Output is correct |
17 |
Correct |
287 ms |
11984 KB |
Output is correct |
18 |
Correct |
161 ms |
9548 KB |
Output is correct |
19 |
Correct |
319 ms |
6532 KB |
Output is correct |
20 |
Correct |
205 ms |
8232 KB |
Output is correct |
21 |
Correct |
216 ms |
8064 KB |
Output is correct |
22 |
Correct |
281 ms |
8220 KB |
Output is correct |
23 |
Correct |
460 ms |
7200 KB |
Output is correct |
24 |
Correct |
345 ms |
6988 KB |
Output is correct |
25 |
Correct |
245 ms |
9100 KB |
Output is correct |
26 |
Correct |
306 ms |
7540 KB |
Output is correct |
27 |
Correct |
319 ms |
7440 KB |
Output is correct |
28 |
Correct |
166 ms |
10136 KB |
Output is correct |
29 |
Correct |
410 ms |
6036 KB |
Output is correct |
30 |
Correct |
214 ms |
8268 KB |
Output is correct |
31 |
Correct |
299 ms |
8020 KB |
Output is correct |
32 |
Correct |
286 ms |
8256 KB |
Output is correct |
33 |
Correct |
236 ms |
6932 KB |
Output is correct |
34 |
Correct |
331 ms |
7172 KB |
Output is correct |
35 |
Correct |
336 ms |
7512 KB |
Output is correct |
36 |
Correct |
170 ms |
6040 KB |
Output is correct |
37 |
Correct |
200 ms |
8212 KB |
Output is correct |
38 |
Correct |
347 ms |
6128 KB |
Output is correct |
39 |
Correct |
303 ms |
7260 KB |
Output is correct |
40 |
Correct |
285 ms |
7288 KB |
Output is correct |
41 |
Correct |
40 ms |
11944 KB |
Output is correct |
42 |
Correct |
41 ms |
11972 KB |
Output is correct |
43 |
Correct |
48 ms |
11800 KB |
Output is correct |
44 |
Correct |
65 ms |
11880 KB |
Output is correct |
45 |
Correct |
42 ms |
11992 KB |
Output is correct |
46 |
Correct |
58 ms |
11920 KB |
Output is correct |
47 |
Correct |
59 ms |
11876 KB |
Output is correct |
48 |
Correct |
34 ms |
12100 KB |
Output is correct |
49 |
Correct |
41 ms |
11704 KB |
Output is correct |
50 |
Correct |
42 ms |
11976 KB |
Output is correct |
51 |
Correct |
54 ms |
11972 KB |
Output is correct |
52 |
Correct |
55 ms |
11844 KB |
Output is correct |
53 |
Correct |
42 ms |
11776 KB |
Output is correct |
54 |
Correct |
61 ms |
11848 KB |
Output is correct |
55 |
Correct |
62 ms |
11904 KB |
Output is correct |
56 |
Correct |
39 ms |
11732 KB |
Output is correct |
57 |
Correct |
44 ms |
11944 KB |
Output is correct |
58 |
Correct |
41 ms |
11816 KB |
Output is correct |
59 |
Correct |
46 ms |
11900 KB |
Output is correct |
60 |
Correct |
45 ms |
11848 KB |
Output is correct |
61 |
Correct |
43 ms |
11852 KB |
Output is correct |
62 |
Correct |
62 ms |
11844 KB |
Output is correct |
63 |
Correct |
59 ms |
11820 KB |
Output is correct |
64 |
Correct |
38 ms |
11728 KB |
Output is correct |
65 |
Correct |
52 ms |
11884 KB |
Output is correct |
66 |
Correct |
54 ms |
11848 KB |
Output is correct |
67 |
Correct |
53 ms |
11892 KB |
Output is correct |
68 |
Correct |
53 ms |
11892 KB |
Output is correct |
69 |
Correct |
53 ms |
11900 KB |
Output is correct |
70 |
Correct |
52 ms |
11920 KB |
Output is correct |
71 |
Correct |
346 ms |
17460 KB |
Output is correct |
72 |
Correct |
366 ms |
17584 KB |
Output is correct |
73 |
Correct |
491 ms |
16248 KB |
Output is correct |
74 |
Correct |
684 ms |
16504 KB |
Output is correct |
75 |
Correct |
375 ms |
18408 KB |
Output is correct |
76 |
Correct |
655 ms |
16764 KB |
Output is correct |
77 |
Correct |
743 ms |
16756 KB |
Output is correct |
78 |
Correct |
251 ms |
20580 KB |
Output is correct |
79 |
Correct |
312 ms |
14592 KB |
Output is correct |
80 |
Correct |
322 ms |
17604 KB |
Output is correct |
81 |
Correct |
482 ms |
17460 KB |
Output is correct |
82 |
Correct |
719 ms |
16580 KB |
Output is correct |
83 |
Correct |
364 ms |
15576 KB |
Output is correct |
84 |
Correct |
748 ms |
16496 KB |
Output is correct |
85 |
Correct |
710 ms |
16792 KB |
Output is correct |
86 |
Correct |
232 ms |
14420 KB |
Output is correct |
87 |
Correct |
311 ms |
17496 KB |
Output is correct |
88 |
Correct |
342 ms |
14444 KB |
Output is correct |
89 |
Correct |
496 ms |
16068 KB |
Output is correct |
90 |
Correct |
429 ms |
16448 KB |
Output is correct |
91 |
Correct |
390 ms |
15708 KB |
Output is correct |
92 |
Correct |
761 ms |
16912 KB |
Output is correct |
93 |
Correct |
687 ms |
16804 KB |
Output is correct |
94 |
Correct |
215 ms |
14460 KB |
Output is correct |
95 |
Correct |
599 ms |
16652 KB |
Output is correct |
96 |
Correct |
629 ms |
16640 KB |
Output is correct |
97 |
Correct |
582 ms |
16560 KB |
Output is correct |
98 |
Correct |
619 ms |
16492 KB |
Output is correct |
99 |
Correct |
593 ms |
16484 KB |
Output is correct |
100 |
Correct |
603 ms |
16576 KB |
Output is correct |