#include <bits/stdc++.h>
#define pb push_back
#define f first
#define sc second
using namespace std;
typedef long long int ll;
typedef string str;
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
int L, Q; cin >> L >> Q;
int* v = new int[1<<L];
for(int i = 0; i < (1<<L); i++){
char c; cin >> c;
v[i] = c-'0';
}
int *dp1 = new int[1<<L], *dp2 = new int[1<<L];
fill(dp1, dp1+(1<<L), 0);
fill(dp2, dp2+(1<<L), 0);
for(int i = 0; i < (1<<L); i++){
dp1[i]+=v[i];
dp2[((1<<L)-1)^i]+=v[i];
}
for(int j = 0; j < L; j++) for(int i = 0; i < (1<<L); i++) if(i&(1<<j)){
dp1[i]+=dp1[i^(1<<j)];
dp2[i]+=dp2[i^(1<<j)];
}
int L_3 = L/3;
while(Q--){
str s; cin >> s;
int z = 0, o = 0, u = 0;
reverse(s.begin(), s.end());
for(int i = 0; i < L; i++){
if(s[i] == '0') z+=(1<<i);
if(s[i] == '1') o+=(1<<i);
if(s[i] == '?') u+=(1<<i);
}
int ans = 0;
if(__builtin_popcount(u) <= L_3){
ans+=v[o];
for(int i = u; i > 0; i = (i-1)&u) ans+=v[i|o];
}
else if(__builtin_popcount(o) <= L_3){
ans+=dp1[u]*(__builtin_popcount(o)&1?-1:1);
for(int i = o; i > 0; i = (i-1)&o)
ans+=dp1[i|u]*((__builtin_popcount(o)-__builtin_popcount(i))&1?-1:1);
}
else{
ans+=dp2[u]*(__builtin_popcount(z)&1?-1:1);
for(int i = z; i > 0; i = (i-1)&z)
ans+=dp2[i|u]*((__builtin_popcount(z)-__builtin_popcount(i))&1?-1:1);
}
cout << ans << "\n";
}
}
# |
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 |
328 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 |
340 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 |
328 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 |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
204 ms |
15156 KB |
Output is correct |
12 |
Correct |
216 ms |
14668 KB |
Output is correct |
13 |
Correct |
228 ms |
14068 KB |
Output is correct |
14 |
Correct |
226 ms |
13968 KB |
Output is correct |
15 |
Correct |
218 ms |
15052 KB |
Output is correct |
16 |
Correct |
236 ms |
14180 KB |
Output is correct |
17 |
Correct |
238 ms |
14108 KB |
Output is correct |
18 |
Correct |
172 ms |
16076 KB |
Output is correct |
19 |
Correct |
192 ms |
13016 KB |
Output is correct |
20 |
Correct |
215 ms |
14656 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 |
328 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 |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
204 ms |
15156 KB |
Output is correct |
12 |
Correct |
216 ms |
14668 KB |
Output is correct |
13 |
Correct |
228 ms |
14068 KB |
Output is correct |
14 |
Correct |
226 ms |
13968 KB |
Output is correct |
15 |
Correct |
218 ms |
15052 KB |
Output is correct |
16 |
Correct |
236 ms |
14180 KB |
Output is correct |
17 |
Correct |
238 ms |
14108 KB |
Output is correct |
18 |
Correct |
172 ms |
16076 KB |
Output is correct |
19 |
Correct |
192 ms |
13016 KB |
Output is correct |
20 |
Correct |
215 ms |
14656 KB |
Output is correct |
21 |
Correct |
225 ms |
17992 KB |
Output is correct |
22 |
Correct |
236 ms |
18212 KB |
Output is correct |
23 |
Correct |
290 ms |
17248 KB |
Output is correct |
24 |
Correct |
254 ms |
17064 KB |
Output is correct |
25 |
Correct |
265 ms |
18984 KB |
Output is correct |
26 |
Correct |
282 ms |
17484 KB |
Output is correct |
27 |
Correct |
277 ms |
17492 KB |
Output is correct |
28 |
Correct |
187 ms |
20036 KB |
Output is correct |
29 |
Correct |
239 ms |
16068 KB |
Output is correct |
30 |
Correct |
240 ms |
18292 KB |
Output is correct |
31 |
Correct |
294 ms |
18048 KB |
Output is correct |
32 |
Correct |
307 ms |
18000 KB |
Output is correct |
33 |
Correct |
227 ms |
16932 KB |
Output is correct |
34 |
Correct |
261 ms |
17116 KB |
Output is correct |
35 |
Correct |
303 ms |
17432 KB |
Output is correct |
36 |
Correct |
166 ms |
16016 KB |
Output is correct |
37 |
Correct |
228 ms |
18044 KB |
Output is correct |
38 |
Correct |
216 ms |
16096 KB |
Output is correct |
39 |
Correct |
277 ms |
17188 KB |
Output is correct |
40 |
Correct |
261 ms |
16984 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 |
328 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 |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
57 ms |
14924 KB |
Output is correct |
12 |
Correct |
60 ms |
14936 KB |
Output is correct |
13 |
Correct |
62 ms |
14812 KB |
Output is correct |
14 |
Correct |
80 ms |
14776 KB |
Output is correct |
15 |
Correct |
64 ms |
14924 KB |
Output is correct |
16 |
Correct |
77 ms |
14892 KB |
Output is correct |
17 |
Correct |
74 ms |
14848 KB |
Output is correct |
18 |
Correct |
49 ms |
15044 KB |
Output is correct |
19 |
Correct |
61 ms |
14824 KB |
Output is correct |
20 |
Correct |
72 ms |
14820 KB |
Output is correct |
21 |
Correct |
60 ms |
14920 KB |
Output is correct |
22 |
Correct |
68 ms |
14784 KB |
Output is correct |
23 |
Correct |
56 ms |
14792 KB |
Output is correct |
24 |
Correct |
62 ms |
14792 KB |
Output is correct |
25 |
Correct |
80 ms |
14908 KB |
Output is correct |
26 |
Correct |
51 ms |
14668 KB |
Output is correct |
27 |
Correct |
56 ms |
14932 KB |
Output is correct |
28 |
Correct |
57 ms |
14724 KB |
Output is correct |
29 |
Correct |
68 ms |
14808 KB |
Output is correct |
30 |
Correct |
70 ms |
14824 KB |
Output is correct |
31 |
Correct |
58 ms |
14848 KB |
Output is correct |
32 |
Correct |
73 ms |
14932 KB |
Output is correct |
33 |
Correct |
72 ms |
14872 KB |
Output is correct |
34 |
Correct |
51 ms |
14708 KB |
Output is correct |
35 |
Correct |
74 ms |
14796 KB |
Output is correct |
36 |
Correct |
68 ms |
14792 KB |
Output is correct |
37 |
Correct |
65 ms |
14800 KB |
Output is correct |
38 |
Correct |
66 ms |
14792 KB |
Output is correct |
39 |
Correct |
73 ms |
14796 KB |
Output is correct |
40 |
Correct |
85 ms |
14872 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 |
328 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 |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
204 ms |
15156 KB |
Output is correct |
12 |
Correct |
216 ms |
14668 KB |
Output is correct |
13 |
Correct |
228 ms |
14068 KB |
Output is correct |
14 |
Correct |
226 ms |
13968 KB |
Output is correct |
15 |
Correct |
218 ms |
15052 KB |
Output is correct |
16 |
Correct |
236 ms |
14180 KB |
Output is correct |
17 |
Correct |
238 ms |
14108 KB |
Output is correct |
18 |
Correct |
172 ms |
16076 KB |
Output is correct |
19 |
Correct |
192 ms |
13016 KB |
Output is correct |
20 |
Correct |
215 ms |
14656 KB |
Output is correct |
21 |
Correct |
225 ms |
17992 KB |
Output is correct |
22 |
Correct |
236 ms |
18212 KB |
Output is correct |
23 |
Correct |
290 ms |
17248 KB |
Output is correct |
24 |
Correct |
254 ms |
17064 KB |
Output is correct |
25 |
Correct |
265 ms |
18984 KB |
Output is correct |
26 |
Correct |
282 ms |
17484 KB |
Output is correct |
27 |
Correct |
277 ms |
17492 KB |
Output is correct |
28 |
Correct |
187 ms |
20036 KB |
Output is correct |
29 |
Correct |
239 ms |
16068 KB |
Output is correct |
30 |
Correct |
240 ms |
18292 KB |
Output is correct |
31 |
Correct |
294 ms |
18048 KB |
Output is correct |
32 |
Correct |
307 ms |
18000 KB |
Output is correct |
33 |
Correct |
227 ms |
16932 KB |
Output is correct |
34 |
Correct |
261 ms |
17116 KB |
Output is correct |
35 |
Correct |
303 ms |
17432 KB |
Output is correct |
36 |
Correct |
166 ms |
16016 KB |
Output is correct |
37 |
Correct |
228 ms |
18044 KB |
Output is correct |
38 |
Correct |
216 ms |
16096 KB |
Output is correct |
39 |
Correct |
277 ms |
17188 KB |
Output is correct |
40 |
Correct |
261 ms |
16984 KB |
Output is correct |
41 |
Correct |
57 ms |
14924 KB |
Output is correct |
42 |
Correct |
60 ms |
14936 KB |
Output is correct |
43 |
Correct |
62 ms |
14812 KB |
Output is correct |
44 |
Correct |
80 ms |
14776 KB |
Output is correct |
45 |
Correct |
64 ms |
14924 KB |
Output is correct |
46 |
Correct |
77 ms |
14892 KB |
Output is correct |
47 |
Correct |
74 ms |
14848 KB |
Output is correct |
48 |
Correct |
49 ms |
15044 KB |
Output is correct |
49 |
Correct |
61 ms |
14824 KB |
Output is correct |
50 |
Correct |
72 ms |
14820 KB |
Output is correct |
51 |
Correct |
60 ms |
14920 KB |
Output is correct |
52 |
Correct |
68 ms |
14784 KB |
Output is correct |
53 |
Correct |
56 ms |
14792 KB |
Output is correct |
54 |
Correct |
62 ms |
14792 KB |
Output is correct |
55 |
Correct |
80 ms |
14908 KB |
Output is correct |
56 |
Correct |
51 ms |
14668 KB |
Output is correct |
57 |
Correct |
56 ms |
14932 KB |
Output is correct |
58 |
Correct |
57 ms |
14724 KB |
Output is correct |
59 |
Correct |
68 ms |
14808 KB |
Output is correct |
60 |
Correct |
70 ms |
14824 KB |
Output is correct |
61 |
Correct |
58 ms |
14848 KB |
Output is correct |
62 |
Correct |
73 ms |
14932 KB |
Output is correct |
63 |
Correct |
72 ms |
14872 KB |
Output is correct |
64 |
Correct |
51 ms |
14708 KB |
Output is correct |
65 |
Correct |
74 ms |
14796 KB |
Output is correct |
66 |
Correct |
68 ms |
14792 KB |
Output is correct |
67 |
Correct |
65 ms |
14800 KB |
Output is correct |
68 |
Correct |
66 ms |
14792 KB |
Output is correct |
69 |
Correct |
73 ms |
14796 KB |
Output is correct |
70 |
Correct |
85 ms |
14872 KB |
Output is correct |
71 |
Correct |
396 ms |
39136 KB |
Output is correct |
72 |
Correct |
396 ms |
39220 KB |
Output is correct |
73 |
Correct |
463 ms |
37852 KB |
Output is correct |
74 |
Correct |
702 ms |
38096 KB |
Output is correct |
75 |
Correct |
416 ms |
40192 KB |
Output is correct |
76 |
Correct |
911 ms |
38512 KB |
Output is correct |
77 |
Correct |
720 ms |
38436 KB |
Output is correct |
78 |
Correct |
279 ms |
42184 KB |
Output is correct |
79 |
Correct |
402 ms |
36164 KB |
Output is correct |
80 |
Correct |
392 ms |
39244 KB |
Output is correct |
81 |
Correct |
529 ms |
39188 KB |
Output is correct |
82 |
Correct |
756 ms |
38284 KB |
Output is correct |
83 |
Correct |
387 ms |
37312 KB |
Output is correct |
84 |
Correct |
559 ms |
38200 KB |
Output is correct |
85 |
Correct |
750 ms |
38368 KB |
Output is correct |
86 |
Correct |
244 ms |
36116 KB |
Output is correct |
87 |
Correct |
403 ms |
39080 KB |
Output is correct |
88 |
Correct |
402 ms |
36280 KB |
Output is correct |
89 |
Correct |
453 ms |
37848 KB |
Output is correct |
90 |
Correct |
604 ms |
38136 KB |
Output is correct |
91 |
Correct |
441 ms |
37276 KB |
Output is correct |
92 |
Correct |
851 ms |
38392 KB |
Output is correct |
93 |
Correct |
711 ms |
38276 KB |
Output is correct |
94 |
Correct |
277 ms |
36176 KB |
Output is correct |
95 |
Correct |
637 ms |
38296 KB |
Output is correct |
96 |
Correct |
628 ms |
38280 KB |
Output is correct |
97 |
Correct |
624 ms |
38184 KB |
Output is correct |
98 |
Correct |
618 ms |
38260 KB |
Output is correct |
99 |
Correct |
661 ms |
38248 KB |
Output is correct |
100 |
Correct |
648 ms |
38232 KB |
Output is correct |