#include <bits/stdc++.h>
#define fi first
#define se second
#define mp make_pair
using namespace std;
template <class X, class Y> bool minimize(X &a, Y b) {
if (a > b) return a = b, true;
return false;
}
template <class X, class Y> bool maximize(X &a, Y b) {
if (a < b) return a = b, true;
return false;
}
int lower[1 << 20];
int upper[1 << 20];
char a[1 << 20];
signed main() {
cin.tie(0)->sync_with_stdio(0);
int n, q; cin >> n >> q;
for (int i = 0; i < 1 << n; i ++) {
cin >> a[i];
}
for (int i = 0; i < 1 << n; i ++) {
lower[i] = upper[i] = a[i] - '0';
}
for (int i = 0; i < n; i ++) {
for (int mask = 0; mask < 1 << n; mask ++) {
if (mask >> i & 1) {
lower[mask] += lower[mask ^ (1 << i)];
}
}
}
for (int i = 0; i < n; i ++) {
for (int mask = (1 << n) - 1; ~mask; mask --) {
if (~mask >> i & 1) {
upper[mask] += upper[mask ^ (1 << i)];
}
}
}
while (q --) {
string s; cin >> s;
reverse(s.begin(), s.end());
int mask_a = 0, mask_b = 0, mask_c = 0;
for (int i = 0; i < n; i ++) {
if (s[i] == '0') {
mask_a |= 1 << i;
}
if (s[i] == '1') {
mask_b |= 1 << i;
}
if (s[i] == '?') {
mask_c |= 1 << i;
}
}
int res = 0;
if (__builtin_popcount(mask_c) <= 6) {
for (int mask = mask_c; ~mask; mask = (mask - 1) & mask_c) {
res += a[mask_b | mask] - '0';
if (mask == 0) {
break;
}
}
} else
if (__builtin_popcount(mask_a) <= 6) {
for (int mask = mask_a; ~mask; mask = (mask - 1) & mask_a) {
int cnt = __builtin_popcount(mask);
res += ((cnt & 1) ? -1 : 1) * upper[mask | mask_b];
if (mask == 0) {
break;
}
}
} else {
for (int mask = mask_b; ~mask; mask = (mask - 1) & mask_b) {
int cnt = __builtin_popcount(mask);
res += ((cnt & 1) == (__builtin_popcount(mask_b) & 1) ? 1 : -1) * lower[mask | mask_c];
if (mask == 0) {
break;
}
}
}
cout << res << '\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 |
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 |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
332 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 |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 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 |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
224 ms |
15064 KB |
Output is correct |
12 |
Correct |
248 ms |
14844 KB |
Output is correct |
13 |
Correct |
223 ms |
13920 KB |
Output is correct |
14 |
Correct |
237 ms |
14040 KB |
Output is correct |
15 |
Correct |
293 ms |
15100 KB |
Output is correct |
16 |
Correct |
236 ms |
14276 KB |
Output is correct |
17 |
Correct |
244 ms |
14276 KB |
Output is correct |
18 |
Correct |
174 ms |
16068 KB |
Output is correct |
19 |
Correct |
191 ms |
13168 KB |
Output is correct |
20 |
Correct |
239 ms |
14712 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 |
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 |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
224 ms |
15064 KB |
Output is correct |
12 |
Correct |
248 ms |
14844 KB |
Output is correct |
13 |
Correct |
223 ms |
13920 KB |
Output is correct |
14 |
Correct |
237 ms |
14040 KB |
Output is correct |
15 |
Correct |
293 ms |
15100 KB |
Output is correct |
16 |
Correct |
236 ms |
14276 KB |
Output is correct |
17 |
Correct |
244 ms |
14276 KB |
Output is correct |
18 |
Correct |
174 ms |
16068 KB |
Output is correct |
19 |
Correct |
191 ms |
13168 KB |
Output is correct |
20 |
Correct |
239 ms |
14712 KB |
Output is correct |
21 |
Correct |
244 ms |
18024 KB |
Output is correct |
22 |
Correct |
327 ms |
18192 KB |
Output is correct |
23 |
Correct |
265 ms |
17188 KB |
Output is correct |
24 |
Correct |
273 ms |
17188 KB |
Output is correct |
25 |
Correct |
250 ms |
19096 KB |
Output is correct |
26 |
Correct |
284 ms |
17572 KB |
Output is correct |
27 |
Correct |
283 ms |
17656 KB |
Output is correct |
28 |
Correct |
183 ms |
20172 KB |
Output is correct |
29 |
Correct |
230 ms |
16160 KB |
Output is correct |
30 |
Correct |
263 ms |
18256 KB |
Output is correct |
31 |
Correct |
322 ms |
18068 KB |
Output is correct |
32 |
Correct |
284 ms |
18152 KB |
Output is correct |
33 |
Correct |
230 ms |
16996 KB |
Output is correct |
34 |
Correct |
265 ms |
17052 KB |
Output is correct |
35 |
Correct |
292 ms |
17488 KB |
Output is correct |
36 |
Correct |
193 ms |
16100 KB |
Output is correct |
37 |
Correct |
312 ms |
18132 KB |
Output is correct |
38 |
Correct |
227 ms |
16020 KB |
Output is correct |
39 |
Correct |
269 ms |
17268 KB |
Output is correct |
40 |
Correct |
253 ms |
17104 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 |
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 |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
68 ms |
11800 KB |
Output is correct |
12 |
Correct |
73 ms |
11808 KB |
Output is correct |
13 |
Correct |
71 ms |
11700 KB |
Output is correct |
14 |
Correct |
106 ms |
11696 KB |
Output is correct |
15 |
Correct |
69 ms |
11836 KB |
Output is correct |
16 |
Correct |
89 ms |
11796 KB |
Output is correct |
17 |
Correct |
83 ms |
11708 KB |
Output is correct |
18 |
Correct |
60 ms |
11956 KB |
Output is correct |
19 |
Correct |
66 ms |
11596 KB |
Output is correct |
20 |
Correct |
69 ms |
11852 KB |
Output is correct |
21 |
Correct |
88 ms |
11824 KB |
Output is correct |
22 |
Correct |
82 ms |
11696 KB |
Output is correct |
23 |
Correct |
68 ms |
11696 KB |
Output is correct |
24 |
Correct |
71 ms |
11796 KB |
Output is correct |
25 |
Correct |
88 ms |
11700 KB |
Output is correct |
26 |
Correct |
62 ms |
11684 KB |
Output is correct |
27 |
Correct |
68 ms |
11832 KB |
Output is correct |
28 |
Correct |
65 ms |
11696 KB |
Output is correct |
29 |
Correct |
69 ms |
11772 KB |
Output is correct |
30 |
Correct |
78 ms |
11700 KB |
Output is correct |
31 |
Correct |
71 ms |
11704 KB |
Output is correct |
32 |
Correct |
90 ms |
11812 KB |
Output is correct |
33 |
Correct |
87 ms |
11868 KB |
Output is correct |
34 |
Correct |
66 ms |
11696 KB |
Output is correct |
35 |
Correct |
75 ms |
11724 KB |
Output is correct |
36 |
Correct |
78 ms |
11808 KB |
Output is correct |
37 |
Correct |
86 ms |
11700 KB |
Output is correct |
38 |
Correct |
86 ms |
11800 KB |
Output is correct |
39 |
Correct |
94 ms |
11744 KB |
Output is correct |
40 |
Correct |
84 ms |
11812 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 |
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 |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
224 ms |
15064 KB |
Output is correct |
12 |
Correct |
248 ms |
14844 KB |
Output is correct |
13 |
Correct |
223 ms |
13920 KB |
Output is correct |
14 |
Correct |
237 ms |
14040 KB |
Output is correct |
15 |
Correct |
293 ms |
15100 KB |
Output is correct |
16 |
Correct |
236 ms |
14276 KB |
Output is correct |
17 |
Correct |
244 ms |
14276 KB |
Output is correct |
18 |
Correct |
174 ms |
16068 KB |
Output is correct |
19 |
Correct |
191 ms |
13168 KB |
Output is correct |
20 |
Correct |
239 ms |
14712 KB |
Output is correct |
21 |
Correct |
244 ms |
18024 KB |
Output is correct |
22 |
Correct |
327 ms |
18192 KB |
Output is correct |
23 |
Correct |
265 ms |
17188 KB |
Output is correct |
24 |
Correct |
273 ms |
17188 KB |
Output is correct |
25 |
Correct |
250 ms |
19096 KB |
Output is correct |
26 |
Correct |
284 ms |
17572 KB |
Output is correct |
27 |
Correct |
283 ms |
17656 KB |
Output is correct |
28 |
Correct |
183 ms |
20172 KB |
Output is correct |
29 |
Correct |
230 ms |
16160 KB |
Output is correct |
30 |
Correct |
263 ms |
18256 KB |
Output is correct |
31 |
Correct |
322 ms |
18068 KB |
Output is correct |
32 |
Correct |
284 ms |
18152 KB |
Output is correct |
33 |
Correct |
230 ms |
16996 KB |
Output is correct |
34 |
Correct |
265 ms |
17052 KB |
Output is correct |
35 |
Correct |
292 ms |
17488 KB |
Output is correct |
36 |
Correct |
193 ms |
16100 KB |
Output is correct |
37 |
Correct |
312 ms |
18132 KB |
Output is correct |
38 |
Correct |
227 ms |
16020 KB |
Output is correct |
39 |
Correct |
269 ms |
17268 KB |
Output is correct |
40 |
Correct |
253 ms |
17104 KB |
Output is correct |
41 |
Correct |
68 ms |
11800 KB |
Output is correct |
42 |
Correct |
73 ms |
11808 KB |
Output is correct |
43 |
Correct |
71 ms |
11700 KB |
Output is correct |
44 |
Correct |
106 ms |
11696 KB |
Output is correct |
45 |
Correct |
69 ms |
11836 KB |
Output is correct |
46 |
Correct |
89 ms |
11796 KB |
Output is correct |
47 |
Correct |
83 ms |
11708 KB |
Output is correct |
48 |
Correct |
60 ms |
11956 KB |
Output is correct |
49 |
Correct |
66 ms |
11596 KB |
Output is correct |
50 |
Correct |
69 ms |
11852 KB |
Output is correct |
51 |
Correct |
88 ms |
11824 KB |
Output is correct |
52 |
Correct |
82 ms |
11696 KB |
Output is correct |
53 |
Correct |
68 ms |
11696 KB |
Output is correct |
54 |
Correct |
71 ms |
11796 KB |
Output is correct |
55 |
Correct |
88 ms |
11700 KB |
Output is correct |
56 |
Correct |
62 ms |
11684 KB |
Output is correct |
57 |
Correct |
68 ms |
11832 KB |
Output is correct |
58 |
Correct |
65 ms |
11696 KB |
Output is correct |
59 |
Correct |
69 ms |
11772 KB |
Output is correct |
60 |
Correct |
78 ms |
11700 KB |
Output is correct |
61 |
Correct |
71 ms |
11704 KB |
Output is correct |
62 |
Correct |
90 ms |
11812 KB |
Output is correct |
63 |
Correct |
87 ms |
11868 KB |
Output is correct |
64 |
Correct |
66 ms |
11696 KB |
Output is correct |
65 |
Correct |
75 ms |
11724 KB |
Output is correct |
66 |
Correct |
78 ms |
11808 KB |
Output is correct |
67 |
Correct |
86 ms |
11700 KB |
Output is correct |
68 |
Correct |
86 ms |
11800 KB |
Output is correct |
69 |
Correct |
94 ms |
11744 KB |
Output is correct |
70 |
Correct |
84 ms |
11812 KB |
Output is correct |
71 |
Correct |
444 ms |
36036 KB |
Output is correct |
72 |
Correct |
406 ms |
36252 KB |
Output is correct |
73 |
Correct |
458 ms |
34836 KB |
Output is correct |
74 |
Correct |
697 ms |
35164 KB |
Output is correct |
75 |
Correct |
472 ms |
37120 KB |
Output is correct |
76 |
Correct |
799 ms |
35424 KB |
Output is correct |
77 |
Correct |
758 ms |
35364 KB |
Output is correct |
78 |
Correct |
309 ms |
39104 KB |
Output is correct |
79 |
Correct |
358 ms |
33088 KB |
Output is correct |
80 |
Correct |
474 ms |
36160 KB |
Output is correct |
81 |
Correct |
670 ms |
36124 KB |
Output is correct |
82 |
Correct |
1136 ms |
35108 KB |
Output is correct |
83 |
Correct |
420 ms |
34232 KB |
Output is correct |
84 |
Correct |
520 ms |
35092 KB |
Output is correct |
85 |
Correct |
742 ms |
35284 KB |
Output is correct |
86 |
Correct |
304 ms |
33104 KB |
Output is correct |
87 |
Correct |
458 ms |
36112 KB |
Output is correct |
88 |
Correct |
422 ms |
33092 KB |
Output is correct |
89 |
Correct |
451 ms |
34804 KB |
Output is correct |
90 |
Correct |
572 ms |
35156 KB |
Output is correct |
91 |
Correct |
461 ms |
34272 KB |
Output is correct |
92 |
Correct |
796 ms |
35428 KB |
Output is correct |
93 |
Correct |
680 ms |
35524 KB |
Output is correct |
94 |
Correct |
252 ms |
33052 KB |
Output is correct |
95 |
Correct |
652 ms |
35288 KB |
Output is correct |
96 |
Correct |
612 ms |
35128 KB |
Output is correct |
97 |
Correct |
618 ms |
35148 KB |
Output is correct |
98 |
Correct |
613 ms |
35136 KB |
Output is correct |
99 |
Correct |
625 ms |
35088 KB |
Output is correct |
100 |
Correct |
598 ms |
35128 KB |
Output is correct |