#include <bits/stdc++.h>
using namespace std;
const int MAXL = 20;
const int MAXQ = 1000000;
int L, Q;
string str;
int val[1<<MAXL];
int sum0[1<<MAXL];
int sum1[1<<MAXL];
int cnt[1<<MAXL];
int p0, p1, pq;
int ans;
signed main() {
ios_base::sync_with_stdio(0), cin.tie(0);
cin >> L >> Q;
cin >> str;
for (int i = 0; i < (1<<L); i++) {
val[i] = sum0[i] = sum1[i] = str[i] - '0';
cnt[i] = cnt[i>>1] + (i&1);
}
for (int i = 0; i < L; i++) {
for (int j = 0; j < (1<<L); j++) {
if ((1<<i) & j) {
sum0[j] += sum0[(1<<i) ^ j];
sum1[(1<<i) ^ j] += sum1[j];
}
}
}
for (int i = 0; i < Q; i++) {
cin >> str;
p0 = p1 = pq = 0;
for (int j = 0; j < L; j++) {
if (str[L-1-j] == '0') p0 |= (1<<j);
if (str[L-1-j] == '1') p1 |= (1<<j);
if (str[L-1-j] == '?') pq |= (1<<j);
}
ans = 0;
if (cnt[p0] <= 6) {
for (int j = p0; ; j=(j-1)&p0) {
if (cnt[j] & 1) ans -= sum1[p1 | j];
else ans += sum1[p1 | j];
if (!j) break;
}
} else if (cnt[p1] <= 6) {
for (int j = p1; ; j=(j-1)&p1) {
if (cnt[p1 ^ j] & 1) ans -= sum0[pq | j];
else ans += sum0[pq | j];
if (!j) break;
}
} else {
for (int j = pq; ; j=(j-1)&pq) {
ans += val[p1 | j];
if (!j) break;
}
}
cout << ans << "\n";
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
239 ms |
15212 KB |
Output is correct |
12 |
Correct |
306 ms |
15084 KB |
Output is correct |
13 |
Correct |
323 ms |
14052 KB |
Output is correct |
14 |
Correct |
295 ms |
14188 KB |
Output is correct |
15 |
Correct |
258 ms |
15212 KB |
Output is correct |
16 |
Correct |
289 ms |
14344 KB |
Output is correct |
17 |
Correct |
319 ms |
14336 KB |
Output is correct |
18 |
Correct |
213 ms |
16108 KB |
Output is correct |
19 |
Correct |
282 ms |
13292 KB |
Output is correct |
20 |
Correct |
248 ms |
14828 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
239 ms |
15212 KB |
Output is correct |
12 |
Correct |
306 ms |
15084 KB |
Output is correct |
13 |
Correct |
323 ms |
14052 KB |
Output is correct |
14 |
Correct |
295 ms |
14188 KB |
Output is correct |
15 |
Correct |
258 ms |
15212 KB |
Output is correct |
16 |
Correct |
289 ms |
14344 KB |
Output is correct |
17 |
Correct |
319 ms |
14336 KB |
Output is correct |
18 |
Correct |
213 ms |
16108 KB |
Output is correct |
19 |
Correct |
282 ms |
13292 KB |
Output is correct |
20 |
Correct |
248 ms |
14828 KB |
Output is correct |
21 |
Correct |
273 ms |
18284 KB |
Output is correct |
22 |
Correct |
351 ms |
18540 KB |
Output is correct |
23 |
Correct |
447 ms |
17388 KB |
Output is correct |
24 |
Correct |
371 ms |
17260 KB |
Output is correct |
25 |
Correct |
296 ms |
19308 KB |
Output is correct |
26 |
Correct |
345 ms |
17772 KB |
Output is correct |
27 |
Correct |
373 ms |
17772 KB |
Output is correct |
28 |
Correct |
242 ms |
20332 KB |
Output is correct |
29 |
Correct |
397 ms |
16236 KB |
Output is correct |
30 |
Correct |
292 ms |
18412 KB |
Output is correct |
31 |
Correct |
337 ms |
18412 KB |
Output is correct |
32 |
Correct |
338 ms |
18284 KB |
Output is correct |
33 |
Correct |
299 ms |
17132 KB |
Output is correct |
34 |
Correct |
369 ms |
17308 KB |
Output is correct |
35 |
Correct |
377 ms |
17652 KB |
Output is correct |
36 |
Correct |
212 ms |
16364 KB |
Output is correct |
37 |
Correct |
283 ms |
18284 KB |
Output is correct |
38 |
Correct |
370 ms |
16364 KB |
Output is correct |
39 |
Correct |
338 ms |
17388 KB |
Output is correct |
40 |
Correct |
341 ms |
17388 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
60 ms |
20240 KB |
Output is correct |
12 |
Correct |
64 ms |
20256 KB |
Output is correct |
13 |
Correct |
80 ms |
20240 KB |
Output is correct |
14 |
Correct |
95 ms |
20112 KB |
Output is correct |
15 |
Correct |
62 ms |
20240 KB |
Output is correct |
16 |
Correct |
89 ms |
20240 KB |
Output is correct |
17 |
Correct |
89 ms |
20240 KB |
Output is correct |
18 |
Correct |
54 ms |
20368 KB |
Output is correct |
19 |
Correct |
62 ms |
20112 KB |
Output is correct |
20 |
Correct |
61 ms |
20240 KB |
Output is correct |
21 |
Correct |
75 ms |
20240 KB |
Output is correct |
22 |
Correct |
87 ms |
20260 KB |
Output is correct |
23 |
Correct |
62 ms |
20112 KB |
Output is correct |
24 |
Correct |
93 ms |
20112 KB |
Output is correct |
25 |
Correct |
91 ms |
20240 KB |
Output is correct |
26 |
Correct |
52 ms |
20112 KB |
Output is correct |
27 |
Correct |
62 ms |
20240 KB |
Output is correct |
28 |
Correct |
68 ms |
20112 KB |
Output is correct |
29 |
Correct |
77 ms |
20112 KB |
Output is correct |
30 |
Correct |
85 ms |
20112 KB |
Output is correct |
31 |
Correct |
68 ms |
20112 KB |
Output is correct |
32 |
Correct |
100 ms |
20240 KB |
Output is correct |
33 |
Correct |
88 ms |
20240 KB |
Output is correct |
34 |
Correct |
52 ms |
20112 KB |
Output is correct |
35 |
Correct |
82 ms |
20112 KB |
Output is correct |
36 |
Correct |
81 ms |
20240 KB |
Output is correct |
37 |
Correct |
80 ms |
20240 KB |
Output is correct |
38 |
Correct |
81 ms |
20240 KB |
Output is correct |
39 |
Correct |
79 ms |
20112 KB |
Output is correct |
40 |
Correct |
80 ms |
20112 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
239 ms |
15212 KB |
Output is correct |
12 |
Correct |
306 ms |
15084 KB |
Output is correct |
13 |
Correct |
323 ms |
14052 KB |
Output is correct |
14 |
Correct |
295 ms |
14188 KB |
Output is correct |
15 |
Correct |
258 ms |
15212 KB |
Output is correct |
16 |
Correct |
289 ms |
14344 KB |
Output is correct |
17 |
Correct |
319 ms |
14336 KB |
Output is correct |
18 |
Correct |
213 ms |
16108 KB |
Output is correct |
19 |
Correct |
282 ms |
13292 KB |
Output is correct |
20 |
Correct |
248 ms |
14828 KB |
Output is correct |
21 |
Correct |
273 ms |
18284 KB |
Output is correct |
22 |
Correct |
351 ms |
18540 KB |
Output is correct |
23 |
Correct |
447 ms |
17388 KB |
Output is correct |
24 |
Correct |
371 ms |
17260 KB |
Output is correct |
25 |
Correct |
296 ms |
19308 KB |
Output is correct |
26 |
Correct |
345 ms |
17772 KB |
Output is correct |
27 |
Correct |
373 ms |
17772 KB |
Output is correct |
28 |
Correct |
242 ms |
20332 KB |
Output is correct |
29 |
Correct |
397 ms |
16236 KB |
Output is correct |
30 |
Correct |
292 ms |
18412 KB |
Output is correct |
31 |
Correct |
337 ms |
18412 KB |
Output is correct |
32 |
Correct |
338 ms |
18284 KB |
Output is correct |
33 |
Correct |
299 ms |
17132 KB |
Output is correct |
34 |
Correct |
369 ms |
17308 KB |
Output is correct |
35 |
Correct |
377 ms |
17652 KB |
Output is correct |
36 |
Correct |
212 ms |
16364 KB |
Output is correct |
37 |
Correct |
283 ms |
18284 KB |
Output is correct |
38 |
Correct |
370 ms |
16364 KB |
Output is correct |
39 |
Correct |
338 ms |
17388 KB |
Output is correct |
40 |
Correct |
341 ms |
17388 KB |
Output is correct |
41 |
Correct |
60 ms |
20240 KB |
Output is correct |
42 |
Correct |
64 ms |
20256 KB |
Output is correct |
43 |
Correct |
80 ms |
20240 KB |
Output is correct |
44 |
Correct |
95 ms |
20112 KB |
Output is correct |
45 |
Correct |
62 ms |
20240 KB |
Output is correct |
46 |
Correct |
89 ms |
20240 KB |
Output is correct |
47 |
Correct |
89 ms |
20240 KB |
Output is correct |
48 |
Correct |
54 ms |
20368 KB |
Output is correct |
49 |
Correct |
62 ms |
20112 KB |
Output is correct |
50 |
Correct |
61 ms |
20240 KB |
Output is correct |
51 |
Correct |
75 ms |
20240 KB |
Output is correct |
52 |
Correct |
87 ms |
20260 KB |
Output is correct |
53 |
Correct |
62 ms |
20112 KB |
Output is correct |
54 |
Correct |
93 ms |
20112 KB |
Output is correct |
55 |
Correct |
91 ms |
20240 KB |
Output is correct |
56 |
Correct |
52 ms |
20112 KB |
Output is correct |
57 |
Correct |
62 ms |
20240 KB |
Output is correct |
58 |
Correct |
68 ms |
20112 KB |
Output is correct |
59 |
Correct |
77 ms |
20112 KB |
Output is correct |
60 |
Correct |
85 ms |
20112 KB |
Output is correct |
61 |
Correct |
68 ms |
20112 KB |
Output is correct |
62 |
Correct |
100 ms |
20240 KB |
Output is correct |
63 |
Correct |
88 ms |
20240 KB |
Output is correct |
64 |
Correct |
52 ms |
20112 KB |
Output is correct |
65 |
Correct |
82 ms |
20112 KB |
Output is correct |
66 |
Correct |
81 ms |
20240 KB |
Output is correct |
67 |
Correct |
80 ms |
20240 KB |
Output is correct |
68 |
Correct |
81 ms |
20240 KB |
Output is correct |
69 |
Correct |
79 ms |
20112 KB |
Output is correct |
70 |
Correct |
80 ms |
20112 KB |
Output is correct |
71 |
Correct |
442 ms |
25440 KB |
Output is correct |
72 |
Correct |
510 ms |
25616 KB |
Output is correct |
73 |
Correct |
744 ms |
24464 KB |
Output is correct |
74 |
Correct |
978 ms |
24592 KB |
Output is correct |
75 |
Correct |
454 ms |
26896 KB |
Output is correct |
76 |
Correct |
1018 ms |
25744 KB |
Output is correct |
77 |
Correct |
965 ms |
25232 KB |
Output is correct |
78 |
Correct |
292 ms |
29232 KB |
Output is correct |
79 |
Correct |
454 ms |
23056 KB |
Output is correct |
80 |
Correct |
436 ms |
26128 KB |
Output is correct |
81 |
Correct |
679 ms |
26128 KB |
Output is correct |
82 |
Correct |
954 ms |
25232 KB |
Output is correct |
83 |
Correct |
450 ms |
24208 KB |
Output is correct |
84 |
Correct |
1076 ms |
25104 KB |
Output is correct |
85 |
Correct |
960 ms |
25104 KB |
Output is correct |
86 |
Correct |
260 ms |
23056 KB |
Output is correct |
87 |
Correct |
466 ms |
26000 KB |
Output is correct |
88 |
Correct |
510 ms |
23056 KB |
Output is correct |
89 |
Correct |
683 ms |
24592 KB |
Output is correct |
90 |
Correct |
833 ms |
24908 KB |
Output is correct |
91 |
Correct |
552 ms |
24180 KB |
Output is correct |
92 |
Correct |
1139 ms |
25488 KB |
Output is correct |
93 |
Correct |
969 ms |
25408 KB |
Output is correct |
94 |
Correct |
275 ms |
23056 KB |
Output is correct |
95 |
Correct |
809 ms |
24976 KB |
Output is correct |
96 |
Correct |
821 ms |
24592 KB |
Output is correct |
97 |
Correct |
804 ms |
26768 KB |
Output is correct |
98 |
Correct |
803 ms |
26256 KB |
Output is correct |
99 |
Correct |
810 ms |
25232 KB |
Output is correct |
100 |
Correct |
808 ms |
25092 KB |
Output is correct |