#include <bits/stdc++.h>
using namespace std;
const int L = 20;
int S[1 << L], A[1 << L], B[1 << L], popcnt[1 << L];
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
for (int i = 1; i < 1 << L; ++i) {
popcnt[i] = popcnt[i >> 1] + (i & 1);
}
int l, q;
string s;
cin >> l >> q >> s;
int n = 1 << l;
for (int i = 0; i < n; ++i) {
S[i] = A[i] = B[(n - 1) ^ i] = s[i] - '0';
}
for (int i = 0; i < l; ++i) {
for (int mask = 0; mask < n; ++mask) {
if (mask & 1 << i) {
A[mask] += A[mask ^ 1 << i];
B[mask] += B[mask ^ 1 << i];
}
}
}
while (q--) {
string t;
cin >> t;
reverse(t.begin(), t.end());
int mask0 = 0, mask1 = 0, mask2 = 0;
for (int i = 0; i < l; ++i) {
if (t[i] == '0') {
mask0 ^= 1 << i;
} else if (t[i] == '1') {
mask1 ^= 1 << i;
} else {
mask2 ^= 1 << i;
}
}
int ans = 0;
if (popcnt[mask1] <= 6) {
for (int mask = mask1; mask; mask = (mask - 1) & mask1) {
ans += A[mask ^ mask2] * (popcnt[mask ^ mask1] & 1 ? -1 : 1);
}
ans += A[mask2] * (popcnt[mask1] & 1 ? -1 : 1);
} else if (popcnt[mask0] <= 6) {
for (int mask = mask0; mask; mask = (mask - 1) & mask0) {
ans += B[mask ^ mask2] * (popcnt[mask ^ mask0] & 1 ? -1 : 1);
}
ans += B[mask2] * (popcnt[mask0] & 1 ? -1 : 1);
} else {
for (int mask = mask2; mask; mask = (mask - 1) & mask2) {
ans += S[mask ^ mask1];
}
ans += S[mask1];
}
cout << ans << '\n';
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
4436 KB |
Output is correct |
2 |
Correct |
4 ms |
4436 KB |
Output is correct |
3 |
Correct |
4 ms |
4436 KB |
Output is correct |
4 |
Correct |
5 ms |
4440 KB |
Output is correct |
5 |
Correct |
3 ms |
4436 KB |
Output is correct |
6 |
Correct |
4 ms |
4376 KB |
Output is correct |
7 |
Correct |
4 ms |
4432 KB |
Output is correct |
8 |
Correct |
4 ms |
4436 KB |
Output is correct |
9 |
Correct |
3 ms |
4436 KB |
Output is correct |
10 |
Correct |
4 ms |
4436 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
4436 KB |
Output is correct |
2 |
Correct |
4 ms |
4436 KB |
Output is correct |
3 |
Correct |
4 ms |
4436 KB |
Output is correct |
4 |
Correct |
5 ms |
4440 KB |
Output is correct |
5 |
Correct |
3 ms |
4436 KB |
Output is correct |
6 |
Correct |
4 ms |
4376 KB |
Output is correct |
7 |
Correct |
4 ms |
4432 KB |
Output is correct |
8 |
Correct |
4 ms |
4436 KB |
Output is correct |
9 |
Correct |
3 ms |
4436 KB |
Output is correct |
10 |
Correct |
4 ms |
4436 KB |
Output is correct |
11 |
Correct |
263 ms |
8540 KB |
Output is correct |
12 |
Correct |
276 ms |
8160 KB |
Output is correct |
13 |
Correct |
238 ms |
7500 KB |
Output is correct |
14 |
Correct |
288 ms |
7464 KB |
Output is correct |
15 |
Correct |
228 ms |
8552 KB |
Output is correct |
16 |
Correct |
285 ms |
7672 KB |
Output is correct |
17 |
Correct |
260 ms |
7712 KB |
Output is correct |
18 |
Correct |
176 ms |
9484 KB |
Output is correct |
19 |
Correct |
246 ms |
6612 KB |
Output is correct |
20 |
Correct |
320 ms |
8216 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
4436 KB |
Output is correct |
2 |
Correct |
4 ms |
4436 KB |
Output is correct |
3 |
Correct |
4 ms |
4436 KB |
Output is correct |
4 |
Correct |
5 ms |
4440 KB |
Output is correct |
5 |
Correct |
3 ms |
4436 KB |
Output is correct |
6 |
Correct |
4 ms |
4376 KB |
Output is correct |
7 |
Correct |
4 ms |
4432 KB |
Output is correct |
8 |
Correct |
4 ms |
4436 KB |
Output is correct |
9 |
Correct |
3 ms |
4436 KB |
Output is correct |
10 |
Correct |
4 ms |
4436 KB |
Output is correct |
11 |
Correct |
263 ms |
8540 KB |
Output is correct |
12 |
Correct |
276 ms |
8160 KB |
Output is correct |
13 |
Correct |
238 ms |
7500 KB |
Output is correct |
14 |
Correct |
288 ms |
7464 KB |
Output is correct |
15 |
Correct |
228 ms |
8552 KB |
Output is correct |
16 |
Correct |
285 ms |
7672 KB |
Output is correct |
17 |
Correct |
260 ms |
7712 KB |
Output is correct |
18 |
Correct |
176 ms |
9484 KB |
Output is correct |
19 |
Correct |
246 ms |
6612 KB |
Output is correct |
20 |
Correct |
320 ms |
8216 KB |
Output is correct |
21 |
Correct |
364 ms |
8688 KB |
Output is correct |
22 |
Correct |
232 ms |
8820 KB |
Output is correct |
23 |
Correct |
294 ms |
7816 KB |
Output is correct |
24 |
Correct |
279 ms |
7684 KB |
Output is correct |
25 |
Correct |
251 ms |
9592 KB |
Output is correct |
26 |
Correct |
302 ms |
8088 KB |
Output is correct |
27 |
Correct |
357 ms |
8056 KB |
Output is correct |
28 |
Correct |
290 ms |
10652 KB |
Output is correct |
29 |
Correct |
381 ms |
6676 KB |
Output is correct |
30 |
Correct |
299 ms |
8936 KB |
Output is correct |
31 |
Correct |
285 ms |
8596 KB |
Output is correct |
32 |
Correct |
282 ms |
8600 KB |
Output is correct |
33 |
Correct |
297 ms |
7524 KB |
Output is correct |
34 |
Correct |
300 ms |
7696 KB |
Output is correct |
35 |
Correct |
312 ms |
8132 KB |
Output is correct |
36 |
Correct |
180 ms |
6500 KB |
Output is correct |
37 |
Correct |
205 ms |
8496 KB |
Output is correct |
38 |
Correct |
383 ms |
6460 KB |
Output is correct |
39 |
Correct |
357 ms |
7696 KB |
Output is correct |
40 |
Correct |
383 ms |
7456 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
4436 KB |
Output is correct |
2 |
Correct |
4 ms |
4436 KB |
Output is correct |
3 |
Correct |
4 ms |
4436 KB |
Output is correct |
4 |
Correct |
5 ms |
4440 KB |
Output is correct |
5 |
Correct |
3 ms |
4436 KB |
Output is correct |
6 |
Correct |
4 ms |
4376 KB |
Output is correct |
7 |
Correct |
4 ms |
4432 KB |
Output is correct |
8 |
Correct |
4 ms |
4436 KB |
Output is correct |
9 |
Correct |
3 ms |
4436 KB |
Output is correct |
10 |
Correct |
4 ms |
4436 KB |
Output is correct |
11 |
Correct |
54 ms |
18120 KB |
Output is correct |
12 |
Correct |
70 ms |
18128 KB |
Output is correct |
13 |
Correct |
79 ms |
18008 KB |
Output is correct |
14 |
Correct |
61 ms |
18076 KB |
Output is correct |
15 |
Correct |
48 ms |
18168 KB |
Output is correct |
16 |
Correct |
96 ms |
18016 KB |
Output is correct |
17 |
Correct |
80 ms |
18016 KB |
Output is correct |
18 |
Correct |
46 ms |
18272 KB |
Output is correct |
19 |
Correct |
69 ms |
18008 KB |
Output is correct |
20 |
Correct |
71 ms |
18152 KB |
Output is correct |
21 |
Correct |
61 ms |
18016 KB |
Output is correct |
22 |
Correct |
72 ms |
17956 KB |
Output is correct |
23 |
Correct |
77 ms |
17996 KB |
Output is correct |
24 |
Correct |
86 ms |
18016 KB |
Output is correct |
25 |
Correct |
77 ms |
17992 KB |
Output is correct |
26 |
Correct |
48 ms |
17888 KB |
Output is correct |
27 |
Correct |
50 ms |
18020 KB |
Output is correct |
28 |
Correct |
54 ms |
17900 KB |
Output is correct |
29 |
Correct |
58 ms |
17960 KB |
Output is correct |
30 |
Correct |
64 ms |
18008 KB |
Output is correct |
31 |
Correct |
54 ms |
18020 KB |
Output is correct |
32 |
Correct |
77 ms |
18016 KB |
Output is correct |
33 |
Correct |
75 ms |
18008 KB |
Output is correct |
34 |
Correct |
52 ms |
17900 KB |
Output is correct |
35 |
Correct |
68 ms |
17972 KB |
Output is correct |
36 |
Correct |
64 ms |
18000 KB |
Output is correct |
37 |
Correct |
74 ms |
18048 KB |
Output is correct |
38 |
Correct |
65 ms |
18048 KB |
Output is correct |
39 |
Correct |
80 ms |
18060 KB |
Output is correct |
40 |
Correct |
72 ms |
18148 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
4436 KB |
Output is correct |
2 |
Correct |
4 ms |
4436 KB |
Output is correct |
3 |
Correct |
4 ms |
4436 KB |
Output is correct |
4 |
Correct |
5 ms |
4440 KB |
Output is correct |
5 |
Correct |
3 ms |
4436 KB |
Output is correct |
6 |
Correct |
4 ms |
4376 KB |
Output is correct |
7 |
Correct |
4 ms |
4432 KB |
Output is correct |
8 |
Correct |
4 ms |
4436 KB |
Output is correct |
9 |
Correct |
3 ms |
4436 KB |
Output is correct |
10 |
Correct |
4 ms |
4436 KB |
Output is correct |
11 |
Correct |
263 ms |
8540 KB |
Output is correct |
12 |
Correct |
276 ms |
8160 KB |
Output is correct |
13 |
Correct |
238 ms |
7500 KB |
Output is correct |
14 |
Correct |
288 ms |
7464 KB |
Output is correct |
15 |
Correct |
228 ms |
8552 KB |
Output is correct |
16 |
Correct |
285 ms |
7672 KB |
Output is correct |
17 |
Correct |
260 ms |
7712 KB |
Output is correct |
18 |
Correct |
176 ms |
9484 KB |
Output is correct |
19 |
Correct |
246 ms |
6612 KB |
Output is correct |
20 |
Correct |
320 ms |
8216 KB |
Output is correct |
21 |
Correct |
364 ms |
8688 KB |
Output is correct |
22 |
Correct |
232 ms |
8820 KB |
Output is correct |
23 |
Correct |
294 ms |
7816 KB |
Output is correct |
24 |
Correct |
279 ms |
7684 KB |
Output is correct |
25 |
Correct |
251 ms |
9592 KB |
Output is correct |
26 |
Correct |
302 ms |
8088 KB |
Output is correct |
27 |
Correct |
357 ms |
8056 KB |
Output is correct |
28 |
Correct |
290 ms |
10652 KB |
Output is correct |
29 |
Correct |
381 ms |
6676 KB |
Output is correct |
30 |
Correct |
299 ms |
8936 KB |
Output is correct |
31 |
Correct |
285 ms |
8596 KB |
Output is correct |
32 |
Correct |
282 ms |
8600 KB |
Output is correct |
33 |
Correct |
297 ms |
7524 KB |
Output is correct |
34 |
Correct |
300 ms |
7696 KB |
Output is correct |
35 |
Correct |
312 ms |
8132 KB |
Output is correct |
36 |
Correct |
180 ms |
6500 KB |
Output is correct |
37 |
Correct |
205 ms |
8496 KB |
Output is correct |
38 |
Correct |
383 ms |
6460 KB |
Output is correct |
39 |
Correct |
357 ms |
7696 KB |
Output is correct |
40 |
Correct |
383 ms |
7456 KB |
Output is correct |
41 |
Correct |
54 ms |
18120 KB |
Output is correct |
42 |
Correct |
70 ms |
18128 KB |
Output is correct |
43 |
Correct |
79 ms |
18008 KB |
Output is correct |
44 |
Correct |
61 ms |
18076 KB |
Output is correct |
45 |
Correct |
48 ms |
18168 KB |
Output is correct |
46 |
Correct |
96 ms |
18016 KB |
Output is correct |
47 |
Correct |
80 ms |
18016 KB |
Output is correct |
48 |
Correct |
46 ms |
18272 KB |
Output is correct |
49 |
Correct |
69 ms |
18008 KB |
Output is correct |
50 |
Correct |
71 ms |
18152 KB |
Output is correct |
51 |
Correct |
61 ms |
18016 KB |
Output is correct |
52 |
Correct |
72 ms |
17956 KB |
Output is correct |
53 |
Correct |
77 ms |
17996 KB |
Output is correct |
54 |
Correct |
86 ms |
18016 KB |
Output is correct |
55 |
Correct |
77 ms |
17992 KB |
Output is correct |
56 |
Correct |
48 ms |
17888 KB |
Output is correct |
57 |
Correct |
50 ms |
18020 KB |
Output is correct |
58 |
Correct |
54 ms |
17900 KB |
Output is correct |
59 |
Correct |
58 ms |
17960 KB |
Output is correct |
60 |
Correct |
64 ms |
18008 KB |
Output is correct |
61 |
Correct |
54 ms |
18020 KB |
Output is correct |
62 |
Correct |
77 ms |
18016 KB |
Output is correct |
63 |
Correct |
75 ms |
18008 KB |
Output is correct |
64 |
Correct |
52 ms |
17900 KB |
Output is correct |
65 |
Correct |
68 ms |
17972 KB |
Output is correct |
66 |
Correct |
64 ms |
18000 KB |
Output is correct |
67 |
Correct |
74 ms |
18048 KB |
Output is correct |
68 |
Correct |
65 ms |
18048 KB |
Output is correct |
69 |
Correct |
80 ms |
18060 KB |
Output is correct |
70 |
Correct |
72 ms |
18148 KB |
Output is correct |
71 |
Correct |
451 ms |
22896 KB |
Output is correct |
72 |
Correct |
377 ms |
22932 KB |
Output is correct |
73 |
Correct |
687 ms |
21476 KB |
Output is correct |
74 |
Correct |
756 ms |
21884 KB |
Output is correct |
75 |
Correct |
456 ms |
23948 KB |
Output is correct |
76 |
Correct |
954 ms |
22128 KB |
Output is correct |
77 |
Correct |
735 ms |
22056 KB |
Output is correct |
78 |
Correct |
258 ms |
25836 KB |
Output is correct |
79 |
Correct |
456 ms |
19856 KB |
Output is correct |
80 |
Correct |
525 ms |
23020 KB |
Output is correct |
81 |
Correct |
579 ms |
22812 KB |
Output is correct |
82 |
Correct |
742 ms |
21876 KB |
Output is correct |
83 |
Correct |
414 ms |
21052 KB |
Output is correct |
84 |
Correct |
779 ms |
21796 KB |
Output is correct |
85 |
Correct |
803 ms |
22000 KB |
Output is correct |
86 |
Correct |
240 ms |
19952 KB |
Output is correct |
87 |
Correct |
351 ms |
22916 KB |
Output is correct |
88 |
Correct |
490 ms |
19820 KB |
Output is correct |
89 |
Correct |
599 ms |
21456 KB |
Output is correct |
90 |
Correct |
548 ms |
21876 KB |
Output is correct |
91 |
Correct |
424 ms |
21052 KB |
Output is correct |
92 |
Correct |
593 ms |
22124 KB |
Output is correct |
93 |
Correct |
728 ms |
22076 KB |
Output is correct |
94 |
Correct |
239 ms |
19872 KB |
Output is correct |
95 |
Correct |
627 ms |
21968 KB |
Output is correct |
96 |
Correct |
653 ms |
22056 KB |
Output is correct |
97 |
Correct |
578 ms |
21964 KB |
Output is correct |
98 |
Correct |
632 ms |
21940 KB |
Output is correct |
99 |
Correct |
660 ms |
22048 KB |
Output is correct |
100 |
Correct |
592 ms |
21876 KB |
Output is correct |