#include <bits/stdc++.h>
using namespace std;
int L, q;
int a[1<<20], Dp_sub[1<<20], Dp_par[1<<20], dem[1<<20];
int main() {
ios::sync_with_stdio(false);
cin.tie(NULL);
cin >> L >> q;
for (int i = 0; i < (1<<L); i++) {
char c; cin >> c;
a[i] = Dp_sub[i] = Dp_par[i] = c-'0';
dem[i] = __builtin_popcount(i);
}
for (int i = 0; i < L; i++) {
for (int mask = 0; mask < (1<<L); ++mask) {
if ((mask>>i)&1) Dp_sub[mask] += Dp_sub[mask^(1<<i)];
else Dp_par[mask] += Dp_par[mask^(1<<i)];
}
}
auto sub1 = [&](const string &s) -> void {
int mask = 0, Smask = 0;
for (int i = 0; i < L; i++) {
if (s[i] != '?') mask |= ((s[i]-'0') << i);
else Smask |= (1<<i);
}
int ans = a[mask];
for (int i = Smask; i > 0; i = (i-1)&Smask) ans += a[i^mask];
cout << ans << "\n";
};
auto sub2 = [&](const string &s) -> void {
int mask = 0, Smask = 0;
for (int i = 0; i < L; i++) {
if (s[i] == '1') {
Smask |= (1<<i);
mask |= (1<<i);
} else if (s[i] == '?') mask |= (1<<i);
}
int ans = Dp_sub[mask];
for (int i = Smask; i > 0; i = (i-1)&Smask) {
if (dem[i]&1) ans -= Dp_sub[mask^i];
else ans += Dp_sub[mask^i];
}
cout << ans << "\n";
};
auto sub3 = [&](const string &s) -> void {
int mask = 0, Smask = 0;
for (int i = 0; i < L; i++) {
if (s[i] == '0') Smask |= (1<<i);
else if (s[i] == '1') mask |= (1<<i);
}
int ans = Dp_par[mask];
for (int i = Smask; i > 0; i = (i-1)&Smask) {
if (dem[i]&1) ans -= Dp_par[mask^i];
else ans += Dp_par[mask^i];
}
cout << ans << "\n";
};
while (q--) {
string s; cin >> s;
reverse(s.begin(), s.end());
int cnt0 = 0, cnt1 = 0, cnt2 = 0;
for (char ch : s) {
switch (ch) {
case '0' :
++cnt0;
break;
case '1' :
++cnt1;
break;
case '?' :
++cnt2;
break;
}
}
if (cnt2 <= 6) sub1(s);
else if (cnt1 <= 6) sub2(s);
else sub3(s);
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
6480 KB |
Output is correct |
2 |
Correct |
2 ms |
6480 KB |
Output is correct |
3 |
Correct |
2 ms |
6480 KB |
Output is correct |
4 |
Correct |
2 ms |
6480 KB |
Output is correct |
5 |
Correct |
2 ms |
6480 KB |
Output is correct |
6 |
Correct |
2 ms |
6480 KB |
Output is correct |
7 |
Correct |
2 ms |
6480 KB |
Output is correct |
8 |
Correct |
2 ms |
6480 KB |
Output is correct |
9 |
Correct |
2 ms |
6648 KB |
Output is correct |
10 |
Correct |
2 ms |
6480 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
6480 KB |
Output is correct |
2 |
Correct |
2 ms |
6480 KB |
Output is correct |
3 |
Correct |
2 ms |
6480 KB |
Output is correct |
4 |
Correct |
2 ms |
6480 KB |
Output is correct |
5 |
Correct |
2 ms |
6480 KB |
Output is correct |
6 |
Correct |
2 ms |
6480 KB |
Output is correct |
7 |
Correct |
2 ms |
6480 KB |
Output is correct |
8 |
Correct |
2 ms |
6480 KB |
Output is correct |
9 |
Correct |
2 ms |
6648 KB |
Output is correct |
10 |
Correct |
2 ms |
6480 KB |
Output is correct |
11 |
Correct |
187 ms |
21320 KB |
Output is correct |
12 |
Correct |
184 ms |
20988 KB |
Output is correct |
13 |
Correct |
192 ms |
20040 KB |
Output is correct |
14 |
Correct |
166 ms |
20296 KB |
Output is correct |
15 |
Correct |
204 ms |
21320 KB |
Output is correct |
16 |
Correct |
189 ms |
20552 KB |
Output is correct |
17 |
Correct |
190 ms |
20296 KB |
Output is correct |
18 |
Correct |
132 ms |
22344 KB |
Output is correct |
19 |
Correct |
151 ms |
19272 KB |
Output is correct |
20 |
Correct |
201 ms |
20808 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
6480 KB |
Output is correct |
2 |
Correct |
2 ms |
6480 KB |
Output is correct |
3 |
Correct |
2 ms |
6480 KB |
Output is correct |
4 |
Correct |
2 ms |
6480 KB |
Output is correct |
5 |
Correct |
2 ms |
6480 KB |
Output is correct |
6 |
Correct |
2 ms |
6480 KB |
Output is correct |
7 |
Correct |
2 ms |
6480 KB |
Output is correct |
8 |
Correct |
2 ms |
6480 KB |
Output is correct |
9 |
Correct |
2 ms |
6648 KB |
Output is correct |
10 |
Correct |
2 ms |
6480 KB |
Output is correct |
11 |
Correct |
187 ms |
21320 KB |
Output is correct |
12 |
Correct |
184 ms |
20988 KB |
Output is correct |
13 |
Correct |
192 ms |
20040 KB |
Output is correct |
14 |
Correct |
166 ms |
20296 KB |
Output is correct |
15 |
Correct |
204 ms |
21320 KB |
Output is correct |
16 |
Correct |
189 ms |
20552 KB |
Output is correct |
17 |
Correct |
190 ms |
20296 KB |
Output is correct |
18 |
Correct |
132 ms |
22344 KB |
Output is correct |
19 |
Correct |
151 ms |
19272 KB |
Output is correct |
20 |
Correct |
201 ms |
20808 KB |
Output is correct |
21 |
Correct |
285 ms |
24136 KB |
Output is correct |
22 |
Correct |
196 ms |
24392 KB |
Output is correct |
23 |
Correct |
213 ms |
23368 KB |
Output is correct |
24 |
Correct |
219 ms |
23112 KB |
Output is correct |
25 |
Correct |
184 ms |
25160 KB |
Output is correct |
26 |
Correct |
242 ms |
23624 KB |
Output is correct |
27 |
Correct |
241 ms |
23880 KB |
Output is correct |
28 |
Correct |
152 ms |
26152 KB |
Output is correct |
29 |
Correct |
208 ms |
22420 KB |
Output is correct |
30 |
Correct |
283 ms |
24392 KB |
Output is correct |
31 |
Correct |
286 ms |
24280 KB |
Output is correct |
32 |
Correct |
226 ms |
24324 KB |
Output is correct |
33 |
Correct |
218 ms |
23112 KB |
Output is correct |
34 |
Correct |
215 ms |
23112 KB |
Output is correct |
35 |
Correct |
243 ms |
23624 KB |
Output is correct |
36 |
Correct |
123 ms |
22088 KB |
Output is correct |
37 |
Correct |
227 ms |
24136 KB |
Output is correct |
38 |
Correct |
188 ms |
22128 KB |
Output is correct |
39 |
Correct |
229 ms |
23456 KB |
Output is correct |
40 |
Correct |
203 ms |
23112 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
6480 KB |
Output is correct |
2 |
Correct |
2 ms |
6480 KB |
Output is correct |
3 |
Correct |
2 ms |
6480 KB |
Output is correct |
4 |
Correct |
2 ms |
6480 KB |
Output is correct |
5 |
Correct |
2 ms |
6480 KB |
Output is correct |
6 |
Correct |
2 ms |
6480 KB |
Output is correct |
7 |
Correct |
2 ms |
6480 KB |
Output is correct |
8 |
Correct |
2 ms |
6480 KB |
Output is correct |
9 |
Correct |
2 ms |
6648 KB |
Output is correct |
10 |
Correct |
2 ms |
6480 KB |
Output is correct |
11 |
Correct |
42 ms |
19184 KB |
Output is correct |
12 |
Correct |
43 ms |
19156 KB |
Output is correct |
13 |
Correct |
46 ms |
19088 KB |
Output is correct |
14 |
Correct |
52 ms |
18904 KB |
Output is correct |
15 |
Correct |
45 ms |
19084 KB |
Output is correct |
16 |
Correct |
58 ms |
19016 KB |
Output is correct |
17 |
Correct |
49 ms |
18904 KB |
Output is correct |
18 |
Correct |
40 ms |
19156 KB |
Output is correct |
19 |
Correct |
44 ms |
19024 KB |
Output is correct |
20 |
Correct |
45 ms |
19156 KB |
Output is correct |
21 |
Correct |
48 ms |
19016 KB |
Output is correct |
22 |
Correct |
52 ms |
18900 KB |
Output is correct |
23 |
Correct |
45 ms |
18904 KB |
Output is correct |
24 |
Correct |
50 ms |
19016 KB |
Output is correct |
25 |
Correct |
52 ms |
19016 KB |
Output is correct |
26 |
Correct |
41 ms |
18760 KB |
Output is correct |
27 |
Correct |
41 ms |
19016 KB |
Output is correct |
28 |
Correct |
49 ms |
19016 KB |
Output is correct |
29 |
Correct |
48 ms |
19020 KB |
Output is correct |
30 |
Correct |
53 ms |
19080 KB |
Output is correct |
31 |
Correct |
44 ms |
19016 KB |
Output is correct |
32 |
Correct |
58 ms |
19016 KB |
Output is correct |
33 |
Correct |
55 ms |
19016 KB |
Output is correct |
34 |
Correct |
47 ms |
18896 KB |
Output is correct |
35 |
Correct |
51 ms |
19068 KB |
Output is correct |
36 |
Correct |
48 ms |
19016 KB |
Output is correct |
37 |
Correct |
52 ms |
18896 KB |
Output is correct |
38 |
Correct |
53 ms |
18900 KB |
Output is correct |
39 |
Correct |
61 ms |
18896 KB |
Output is correct |
40 |
Correct |
55 ms |
19016 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
6480 KB |
Output is correct |
2 |
Correct |
2 ms |
6480 KB |
Output is correct |
3 |
Correct |
2 ms |
6480 KB |
Output is correct |
4 |
Correct |
2 ms |
6480 KB |
Output is correct |
5 |
Correct |
2 ms |
6480 KB |
Output is correct |
6 |
Correct |
2 ms |
6480 KB |
Output is correct |
7 |
Correct |
2 ms |
6480 KB |
Output is correct |
8 |
Correct |
2 ms |
6480 KB |
Output is correct |
9 |
Correct |
2 ms |
6648 KB |
Output is correct |
10 |
Correct |
2 ms |
6480 KB |
Output is correct |
11 |
Correct |
187 ms |
21320 KB |
Output is correct |
12 |
Correct |
184 ms |
20988 KB |
Output is correct |
13 |
Correct |
192 ms |
20040 KB |
Output is correct |
14 |
Correct |
166 ms |
20296 KB |
Output is correct |
15 |
Correct |
204 ms |
21320 KB |
Output is correct |
16 |
Correct |
189 ms |
20552 KB |
Output is correct |
17 |
Correct |
190 ms |
20296 KB |
Output is correct |
18 |
Correct |
132 ms |
22344 KB |
Output is correct |
19 |
Correct |
151 ms |
19272 KB |
Output is correct |
20 |
Correct |
201 ms |
20808 KB |
Output is correct |
21 |
Correct |
285 ms |
24136 KB |
Output is correct |
22 |
Correct |
196 ms |
24392 KB |
Output is correct |
23 |
Correct |
213 ms |
23368 KB |
Output is correct |
24 |
Correct |
219 ms |
23112 KB |
Output is correct |
25 |
Correct |
184 ms |
25160 KB |
Output is correct |
26 |
Correct |
242 ms |
23624 KB |
Output is correct |
27 |
Correct |
241 ms |
23880 KB |
Output is correct |
28 |
Correct |
152 ms |
26152 KB |
Output is correct |
29 |
Correct |
208 ms |
22420 KB |
Output is correct |
30 |
Correct |
283 ms |
24392 KB |
Output is correct |
31 |
Correct |
286 ms |
24280 KB |
Output is correct |
32 |
Correct |
226 ms |
24324 KB |
Output is correct |
33 |
Correct |
218 ms |
23112 KB |
Output is correct |
34 |
Correct |
215 ms |
23112 KB |
Output is correct |
35 |
Correct |
243 ms |
23624 KB |
Output is correct |
36 |
Correct |
123 ms |
22088 KB |
Output is correct |
37 |
Correct |
227 ms |
24136 KB |
Output is correct |
38 |
Correct |
188 ms |
22128 KB |
Output is correct |
39 |
Correct |
229 ms |
23456 KB |
Output is correct |
40 |
Correct |
203 ms |
23112 KB |
Output is correct |
41 |
Correct |
42 ms |
19184 KB |
Output is correct |
42 |
Correct |
43 ms |
19156 KB |
Output is correct |
43 |
Correct |
46 ms |
19088 KB |
Output is correct |
44 |
Correct |
52 ms |
18904 KB |
Output is correct |
45 |
Correct |
45 ms |
19084 KB |
Output is correct |
46 |
Correct |
58 ms |
19016 KB |
Output is correct |
47 |
Correct |
49 ms |
18904 KB |
Output is correct |
48 |
Correct |
40 ms |
19156 KB |
Output is correct |
49 |
Correct |
44 ms |
19024 KB |
Output is correct |
50 |
Correct |
45 ms |
19156 KB |
Output is correct |
51 |
Correct |
48 ms |
19016 KB |
Output is correct |
52 |
Correct |
52 ms |
18900 KB |
Output is correct |
53 |
Correct |
45 ms |
18904 KB |
Output is correct |
54 |
Correct |
50 ms |
19016 KB |
Output is correct |
55 |
Correct |
52 ms |
19016 KB |
Output is correct |
56 |
Correct |
41 ms |
18760 KB |
Output is correct |
57 |
Correct |
41 ms |
19016 KB |
Output is correct |
58 |
Correct |
49 ms |
19016 KB |
Output is correct |
59 |
Correct |
48 ms |
19020 KB |
Output is correct |
60 |
Correct |
53 ms |
19080 KB |
Output is correct |
61 |
Correct |
44 ms |
19016 KB |
Output is correct |
62 |
Correct |
58 ms |
19016 KB |
Output is correct |
63 |
Correct |
55 ms |
19016 KB |
Output is correct |
64 |
Correct |
47 ms |
18896 KB |
Output is correct |
65 |
Correct |
51 ms |
19068 KB |
Output is correct |
66 |
Correct |
48 ms |
19016 KB |
Output is correct |
67 |
Correct |
52 ms |
18896 KB |
Output is correct |
68 |
Correct |
53 ms |
18900 KB |
Output is correct |
69 |
Correct |
61 ms |
18896 KB |
Output is correct |
70 |
Correct |
55 ms |
19016 KB |
Output is correct |
71 |
Correct |
327 ms |
43336 KB |
Output is correct |
72 |
Correct |
237 ms |
43340 KB |
Output is correct |
73 |
Correct |
424 ms |
42056 KB |
Output is correct |
74 |
Correct |
557 ms |
42200 KB |
Output is correct |
75 |
Correct |
355 ms |
44360 KB |
Output is correct |
76 |
Correct |
512 ms |
42624 KB |
Output is correct |
77 |
Correct |
461 ms |
42572 KB |
Output is correct |
78 |
Correct |
235 ms |
46408 KB |
Output is correct |
79 |
Correct |
286 ms |
40264 KB |
Output is correct |
80 |
Correct |
327 ms |
43552 KB |
Output is correct |
81 |
Correct |
408 ms |
43228 KB |
Output is correct |
82 |
Correct |
532 ms |
42368 KB |
Output is correct |
83 |
Correct |
349 ms |
41288 KB |
Output is correct |
84 |
Correct |
433 ms |
42312 KB |
Output is correct |
85 |
Correct |
403 ms |
42568 KB |
Output is correct |
86 |
Correct |
183 ms |
40588 KB |
Output is correct |
87 |
Correct |
230 ms |
43336 KB |
Output is correct |
88 |
Correct |
297 ms |
40012 KB |
Output is correct |
89 |
Correct |
396 ms |
42024 KB |
Output is correct |
90 |
Correct |
485 ms |
42332 KB |
Output is correct |
91 |
Correct |
331 ms |
41544 KB |
Output is correct |
92 |
Correct |
480 ms |
42704 KB |
Output is correct |
93 |
Correct |
449 ms |
42576 KB |
Output is correct |
94 |
Correct |
206 ms |
40400 KB |
Output is correct |
95 |
Correct |
390 ms |
42312 KB |
Output is correct |
96 |
Correct |
365 ms |
42320 KB |
Output is correct |
97 |
Correct |
392 ms |
42312 KB |
Output is correct |
98 |
Correct |
391 ms |
42456 KB |
Output is correct |
99 |
Correct |
372 ms |
42304 KB |
Output is correct |
100 |
Correct |
387 ms |
42312 KB |
Output is correct |