#include "bits/stdc++.h"
using namespace std;
using LL = long long;
static int constexpr L = 20;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int l; cin >> l;
int q; cin >> q;
auto neg = [&](int mask) -> int {
return ~mask & ((1 << l) - 1);
};
static int s[1 << L]{};
for (int i = 0; i < (1 << l); ++i) {
char c; cin >> c;
s[i] = c - '0';
}
static int sos[2][1 << L]{};
for (int i = 0; i < (1 << l); ++i) {
sos[0][i] += s[i];
sos[1][neg(i)] += s[i];
}
for (int i = 0; i < l; ++i) {
for (int mask = 0; mask < (1 << l); ++mask) {
if (mask & (1 << i)) {
sos[0][mask] += sos[0][mask ^ (1 << i)];
}
}
}
for (int i = 0; i < l; ++i) {
for (int mask = 0; mask < (1 << l); ++mask) {
if (mask & (1 << i)) {
sos[1][mask] += sos[1][mask ^ (1 << i)];
}
}
}
for (int i = 0; i < q; ++i) {
string t; cin >> t;
int zeros = 0, ones = 0, marks = 0;
for (int j = 0; j < l; ++j) {
if (t[j] == '0') zeros|= (1 << (l - 1 - j));
if (t[j] == '1') ones |= (1 << (l - 1 - j));
if (t[j] == '?') marks|= (1 << (l - 1 - j));
}
int c0 = __builtin_popcount(zeros);
int c1 = __builtin_popcount(ones);
int cm = __builtin_popcount(marks);
int ans = 0;
if (cm <= c0 && cm <= c1) {
ans = s[ones];
for (int mask = marks; mask > 0; mask = (mask - 1) & marks) {
ans += s[ones | mask];
}
} else if (c1 <= c0 && c1 <= cm) {
ans = sos[0][ones | marks];
for (int diff = ones; diff > 0; diff = (diff - 1) & ones) {
if (__builtin_popcount(diff) & 1) {
ans -= sos[0][(ones ^ diff) | marks];
} else {
ans += sos[0][(ones ^ diff) | marks];
}
}
} else {
ans = sos[1][zeros | marks];
for (int diff = zeros; diff > 0; diff = (diff - 1) & zeros) {
if (__builtin_popcount(diff) & 1) {
ans -= sos[1][(zeros ^ diff) | marks];
} else {
ans += sos[1][(zeros ^ diff) | marks];
}
}
}
cout << ans << "\n";
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 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 |
1 ms |
4440 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 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 |
1 ms |
4440 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
171 ms |
19280 KB |
Output is correct |
12 |
Correct |
179 ms |
18924 KB |
Output is correct |
13 |
Correct |
201 ms |
18000 KB |
Output is correct |
14 |
Correct |
197 ms |
18148 KB |
Output is correct |
15 |
Correct |
183 ms |
19260 KB |
Output is correct |
16 |
Correct |
215 ms |
18832 KB |
Output is correct |
17 |
Correct |
216 ms |
18232 KB |
Output is correct |
18 |
Correct |
145 ms |
20152 KB |
Output is correct |
19 |
Correct |
161 ms |
17236 KB |
Output is correct |
20 |
Correct |
212 ms |
18772 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 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 |
1 ms |
4440 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
171 ms |
19280 KB |
Output is correct |
12 |
Correct |
179 ms |
18924 KB |
Output is correct |
13 |
Correct |
201 ms |
18000 KB |
Output is correct |
14 |
Correct |
197 ms |
18148 KB |
Output is correct |
15 |
Correct |
183 ms |
19260 KB |
Output is correct |
16 |
Correct |
215 ms |
18832 KB |
Output is correct |
17 |
Correct |
216 ms |
18232 KB |
Output is correct |
18 |
Correct |
145 ms |
20152 KB |
Output is correct |
19 |
Correct |
161 ms |
17236 KB |
Output is correct |
20 |
Correct |
212 ms |
18772 KB |
Output is correct |
21 |
Correct |
190 ms |
22196 KB |
Output is correct |
22 |
Correct |
203 ms |
22336 KB |
Output is correct |
23 |
Correct |
264 ms |
21360 KB |
Output is correct |
24 |
Correct |
221 ms |
21080 KB |
Output is correct |
25 |
Correct |
210 ms |
23440 KB |
Output is correct |
26 |
Correct |
243 ms |
21784 KB |
Output is correct |
27 |
Correct |
249 ms |
21624 KB |
Output is correct |
28 |
Correct |
154 ms |
24216 KB |
Output is correct |
29 |
Correct |
184 ms |
20496 KB |
Output is correct |
30 |
Correct |
201 ms |
22352 KB |
Output is correct |
31 |
Correct |
236 ms |
22224 KB |
Output is correct |
32 |
Correct |
274 ms |
22232 KB |
Output is correct |
33 |
Correct |
245 ms |
21416 KB |
Output is correct |
34 |
Correct |
241 ms |
21076 KB |
Output is correct |
35 |
Correct |
250 ms |
21844 KB |
Output is correct |
36 |
Correct |
146 ms |
20052 KB |
Output is correct |
37 |
Correct |
189 ms |
22236 KB |
Output is correct |
38 |
Correct |
198 ms |
20224 KB |
Output is correct |
39 |
Correct |
227 ms |
21396 KB |
Output is correct |
40 |
Correct |
227 ms |
21052 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 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 |
1 ms |
4440 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
59 ms |
14928 KB |
Output is correct |
12 |
Correct |
55 ms |
14928 KB |
Output is correct |
13 |
Correct |
59 ms |
14780 KB |
Output is correct |
14 |
Correct |
69 ms |
14928 KB |
Output is correct |
15 |
Correct |
56 ms |
14932 KB |
Output is correct |
16 |
Correct |
69 ms |
14780 KB |
Output is correct |
17 |
Correct |
76 ms |
14908 KB |
Output is correct |
18 |
Correct |
59 ms |
15184 KB |
Output is correct |
19 |
Correct |
56 ms |
14676 KB |
Output is correct |
20 |
Correct |
55 ms |
15044 KB |
Output is correct |
21 |
Correct |
62 ms |
15036 KB |
Output is correct |
22 |
Correct |
69 ms |
14836 KB |
Output is correct |
23 |
Correct |
55 ms |
14928 KB |
Output is correct |
24 |
Correct |
64 ms |
14780 KB |
Output is correct |
25 |
Correct |
63 ms |
14936 KB |
Output is correct |
26 |
Correct |
52 ms |
14788 KB |
Output is correct |
27 |
Correct |
56 ms |
15036 KB |
Output is correct |
28 |
Correct |
55 ms |
14776 KB |
Output is correct |
29 |
Correct |
59 ms |
14908 KB |
Output is correct |
30 |
Correct |
61 ms |
14932 KB |
Output is correct |
31 |
Correct |
61 ms |
14928 KB |
Output is correct |
32 |
Correct |
71 ms |
14836 KB |
Output is correct |
33 |
Correct |
65 ms |
14788 KB |
Output is correct |
34 |
Correct |
53 ms |
14672 KB |
Output is correct |
35 |
Correct |
66 ms |
14888 KB |
Output is correct |
36 |
Correct |
66 ms |
14932 KB |
Output is correct |
37 |
Correct |
72 ms |
14776 KB |
Output is correct |
38 |
Correct |
73 ms |
14892 KB |
Output is correct |
39 |
Correct |
64 ms |
14780 KB |
Output is correct |
40 |
Correct |
66 ms |
14800 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 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 |
1 ms |
4440 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
171 ms |
19280 KB |
Output is correct |
12 |
Correct |
179 ms |
18924 KB |
Output is correct |
13 |
Correct |
201 ms |
18000 KB |
Output is correct |
14 |
Correct |
197 ms |
18148 KB |
Output is correct |
15 |
Correct |
183 ms |
19260 KB |
Output is correct |
16 |
Correct |
215 ms |
18832 KB |
Output is correct |
17 |
Correct |
216 ms |
18232 KB |
Output is correct |
18 |
Correct |
145 ms |
20152 KB |
Output is correct |
19 |
Correct |
161 ms |
17236 KB |
Output is correct |
20 |
Correct |
212 ms |
18772 KB |
Output is correct |
21 |
Correct |
190 ms |
22196 KB |
Output is correct |
22 |
Correct |
203 ms |
22336 KB |
Output is correct |
23 |
Correct |
264 ms |
21360 KB |
Output is correct |
24 |
Correct |
221 ms |
21080 KB |
Output is correct |
25 |
Correct |
210 ms |
23440 KB |
Output is correct |
26 |
Correct |
243 ms |
21784 KB |
Output is correct |
27 |
Correct |
249 ms |
21624 KB |
Output is correct |
28 |
Correct |
154 ms |
24216 KB |
Output is correct |
29 |
Correct |
184 ms |
20496 KB |
Output is correct |
30 |
Correct |
201 ms |
22352 KB |
Output is correct |
31 |
Correct |
236 ms |
22224 KB |
Output is correct |
32 |
Correct |
274 ms |
22232 KB |
Output is correct |
33 |
Correct |
245 ms |
21416 KB |
Output is correct |
34 |
Correct |
241 ms |
21076 KB |
Output is correct |
35 |
Correct |
250 ms |
21844 KB |
Output is correct |
36 |
Correct |
146 ms |
20052 KB |
Output is correct |
37 |
Correct |
189 ms |
22236 KB |
Output is correct |
38 |
Correct |
198 ms |
20224 KB |
Output is correct |
39 |
Correct |
227 ms |
21396 KB |
Output is correct |
40 |
Correct |
227 ms |
21052 KB |
Output is correct |
41 |
Correct |
59 ms |
14928 KB |
Output is correct |
42 |
Correct |
55 ms |
14928 KB |
Output is correct |
43 |
Correct |
59 ms |
14780 KB |
Output is correct |
44 |
Correct |
69 ms |
14928 KB |
Output is correct |
45 |
Correct |
56 ms |
14932 KB |
Output is correct |
46 |
Correct |
69 ms |
14780 KB |
Output is correct |
47 |
Correct |
76 ms |
14908 KB |
Output is correct |
48 |
Correct |
59 ms |
15184 KB |
Output is correct |
49 |
Correct |
56 ms |
14676 KB |
Output is correct |
50 |
Correct |
55 ms |
15044 KB |
Output is correct |
51 |
Correct |
62 ms |
15036 KB |
Output is correct |
52 |
Correct |
69 ms |
14836 KB |
Output is correct |
53 |
Correct |
55 ms |
14928 KB |
Output is correct |
54 |
Correct |
64 ms |
14780 KB |
Output is correct |
55 |
Correct |
63 ms |
14936 KB |
Output is correct |
56 |
Correct |
52 ms |
14788 KB |
Output is correct |
57 |
Correct |
56 ms |
15036 KB |
Output is correct |
58 |
Correct |
55 ms |
14776 KB |
Output is correct |
59 |
Correct |
59 ms |
14908 KB |
Output is correct |
60 |
Correct |
61 ms |
14932 KB |
Output is correct |
61 |
Correct |
61 ms |
14928 KB |
Output is correct |
62 |
Correct |
71 ms |
14836 KB |
Output is correct |
63 |
Correct |
65 ms |
14788 KB |
Output is correct |
64 |
Correct |
53 ms |
14672 KB |
Output is correct |
65 |
Correct |
66 ms |
14888 KB |
Output is correct |
66 |
Correct |
66 ms |
14932 KB |
Output is correct |
67 |
Correct |
72 ms |
14776 KB |
Output is correct |
68 |
Correct |
73 ms |
14892 KB |
Output is correct |
69 |
Correct |
64 ms |
14780 KB |
Output is correct |
70 |
Correct |
66 ms |
14800 KB |
Output is correct |
71 |
Correct |
332 ms |
39376 KB |
Output is correct |
72 |
Correct |
354 ms |
39348 KB |
Output is correct |
73 |
Correct |
405 ms |
37816 KB |
Output is correct |
74 |
Correct |
594 ms |
38228 KB |
Output is correct |
75 |
Correct |
345 ms |
40272 KB |
Output is correct |
76 |
Correct |
623 ms |
38856 KB |
Output is correct |
77 |
Correct |
518 ms |
38328 KB |
Output is correct |
78 |
Correct |
240 ms |
42212 KB |
Output is correct |
79 |
Correct |
313 ms |
36296 KB |
Output is correct |
80 |
Correct |
312 ms |
39268 KB |
Output is correct |
81 |
Correct |
389 ms |
39248 KB |
Output is correct |
82 |
Correct |
583 ms |
38116 KB |
Output is correct |
83 |
Correct |
321 ms |
37832 KB |
Output is correct |
84 |
Correct |
456 ms |
38204 KB |
Output is correct |
85 |
Correct |
513 ms |
38444 KB |
Output is correct |
86 |
Correct |
248 ms |
36340 KB |
Output is correct |
87 |
Correct |
308 ms |
39248 KB |
Output is correct |
88 |
Correct |
310 ms |
36096 KB |
Output is correct |
89 |
Correct |
400 ms |
37924 KB |
Output is correct |
90 |
Correct |
439 ms |
38272 KB |
Output is correct |
91 |
Correct |
357 ms |
37468 KB |
Output is correct |
92 |
Correct |
750 ms |
38396 KB |
Output is correct |
93 |
Correct |
687 ms |
38408 KB |
Output is correct |
94 |
Correct |
248 ms |
36144 KB |
Output is correct |
95 |
Correct |
535 ms |
38152 KB |
Output is correct |
96 |
Correct |
576 ms |
38136 KB |
Output is correct |
97 |
Correct |
529 ms |
38296 KB |
Output is correct |
98 |
Correct |
602 ms |
38304 KB |
Output is correct |
99 |
Correct |
573 ms |
38256 KB |
Output is correct |
100 |
Correct |
537 ms |
38304 KB |
Output is correct |