#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
const int N = 20;
int str[1<<N];
int sub[1<<N];
int over[1<<N];
int main(){
ios_base::sync_with_stdio(false), cin.tie(0);
cout.precision(10);
cout << fixed;
int n, qrs;
cin >> n >> qrs;
string td;
cin >> td;
for(int i=0; i<(1<<n); i++){
str[i] = td[i] - '0';
sub[i] = over[i] = str[i];
}
for(int i=0; i<n; i++){
for(int mask=0; mask<(1<<n); mask++){
if(mask & (1 << i)) sub[mask] += sub[mask ^ (1 << i)];
}
}
for(int i=0; i<n; i++){
for(int mask=0; mask<(1<<n); mask++){
if(!(mask & (1 << i))) over[mask] += over[mask ^ (1 << i)];
}
}
while(qrs--){
string s;
cin >> s;
reverse(s.begin(), s.end());
int cp = 0, c1 = 0, c0 = 0;
for(auto c : s){
if(c == '?') cp++;
else if(c == '0') c0++;
else c1++;
}
int mn = min(min(c0, c1), cp);
if(cp == mn){
vector <int> pos;
int p = 0;
int res = 0;
for(int i=0; i<n; i++){
char c = s[i];
if(c == '?') pos.push_back(1 << i);
else if(c == '1') p += (1 << i);
}
if(cp == 0){
cout << str[p] << "\n";
continue;
}
for(int mask=0; mask<(1<<pos.size()); mask++){
int g = p;
int k = mask;
while(k){
int x = k & -k;
int v = __builtin_ctz(x);
g += pos[v];
k -= x;
}
res += str[g];
}
cout << res << "\n";
}
else if(c0 == mn){
vector <int> pos;
int p = 0;
for(int i=0; i<n; i++){
char c = s[i];
if(c == '0') pos.push_back(1 << i);
else if(c == '1') p += (1 << i);
}
if(c0 == 0){
cout << over[p] << "\n";
continue;
}
int res = 0;
for(int mask=0; mask<(1<<pos.size()); mask++){
int g = p, pr = 1;
int k = mask;
while(k){
int x = k & -k;
int v = __builtin_ctz(x);
pr = -pr;
g += pos[v];
k -= x;
}
res += pr*over[g];
}
cout << res << "\n";
}
else{
vector <int> pos;
int p = 0;
for(int i=0; i<n; i++){
char c = s[i];
if(c != '0') p += (1 << i);
if(c == '1') pos.push_back(1 << i);
}
if(c1 == 0){
cout << sub[p] << "\n";
continue;
}
int res = 0;
for(int mask=0; mask<(1<<pos.size()); mask++){
int g = p, pr = 1;
int k = mask;
while(k){
int x = k & -k;
int v = __builtin_ctz(x);
pr = -pr;
g -= pos[v];
k -= x;
}
res += pr*sub[g];
}
cout << res << "\n";
}
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
324 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
324 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
277 ms |
15156 KB |
Output is correct |
12 |
Correct |
312 ms |
14756 KB |
Output is correct |
13 |
Correct |
389 ms |
13996 KB |
Output is correct |
14 |
Correct |
445 ms |
14032 KB |
Output is correct |
15 |
Correct |
365 ms |
15056 KB |
Output is correct |
16 |
Correct |
435 ms |
14256 KB |
Output is correct |
17 |
Correct |
424 ms |
14280 KB |
Output is correct |
18 |
Correct |
229 ms |
15992 KB |
Output is correct |
19 |
Correct |
264 ms |
13032 KB |
Output is correct |
20 |
Correct |
276 ms |
14664 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
324 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
277 ms |
15156 KB |
Output is correct |
12 |
Correct |
312 ms |
14756 KB |
Output is correct |
13 |
Correct |
389 ms |
13996 KB |
Output is correct |
14 |
Correct |
445 ms |
14032 KB |
Output is correct |
15 |
Correct |
365 ms |
15056 KB |
Output is correct |
16 |
Correct |
435 ms |
14256 KB |
Output is correct |
17 |
Correct |
424 ms |
14280 KB |
Output is correct |
18 |
Correct |
229 ms |
15992 KB |
Output is correct |
19 |
Correct |
264 ms |
13032 KB |
Output is correct |
20 |
Correct |
276 ms |
14664 KB |
Output is correct |
21 |
Correct |
296 ms |
18120 KB |
Output is correct |
22 |
Correct |
362 ms |
18240 KB |
Output is correct |
23 |
Correct |
512 ms |
17220 KB |
Output is correct |
24 |
Correct |
545 ms |
17224 KB |
Output is correct |
25 |
Correct |
439 ms |
19016 KB |
Output is correct |
26 |
Correct |
560 ms |
17640 KB |
Output is correct |
27 |
Correct |
526 ms |
17516 KB |
Output is correct |
28 |
Correct |
242 ms |
20124 KB |
Output is correct |
29 |
Correct |
292 ms |
16068 KB |
Output is correct |
30 |
Correct |
311 ms |
18312 KB |
Output is correct |
31 |
Correct |
507 ms |
18224 KB |
Output is correct |
32 |
Correct |
560 ms |
18264 KB |
Output is correct |
33 |
Correct |
389 ms |
16940 KB |
Output is correct |
34 |
Correct |
550 ms |
17068 KB |
Output is correct |
35 |
Correct |
530 ms |
17484 KB |
Output is correct |
36 |
Correct |
240 ms |
16068 KB |
Output is correct |
37 |
Correct |
329 ms |
18012 KB |
Output is correct |
38 |
Correct |
311 ms |
16092 KB |
Output is correct |
39 |
Correct |
473 ms |
17392 KB |
Output is correct |
40 |
Correct |
553 ms |
17088 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
324 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
89 ms |
15964 KB |
Output is correct |
12 |
Correct |
90 ms |
15972 KB |
Output is correct |
13 |
Correct |
113 ms |
15928 KB |
Output is correct |
14 |
Correct |
132 ms |
15932 KB |
Output is correct |
15 |
Correct |
96 ms |
16052 KB |
Output is correct |
16 |
Correct |
145 ms |
15972 KB |
Output is correct |
17 |
Correct |
139 ms |
15932 KB |
Output is correct |
18 |
Correct |
77 ms |
16192 KB |
Output is correct |
19 |
Correct |
85 ms |
15812 KB |
Output is correct |
20 |
Correct |
84 ms |
16060 KB |
Output is correct |
21 |
Correct |
106 ms |
15984 KB |
Output is correct |
22 |
Correct |
131 ms |
15972 KB |
Output is correct |
23 |
Correct |
93 ms |
15928 KB |
Output is correct |
24 |
Correct |
137 ms |
15940 KB |
Output is correct |
25 |
Correct |
133 ms |
16012 KB |
Output is correct |
26 |
Correct |
78 ms |
15796 KB |
Output is correct |
27 |
Correct |
92 ms |
16052 KB |
Output is correct |
28 |
Correct |
88 ms |
15844 KB |
Output is correct |
29 |
Correct |
105 ms |
15932 KB |
Output is correct |
30 |
Correct |
125 ms |
15924 KB |
Output is correct |
31 |
Correct |
95 ms |
15972 KB |
Output is correct |
32 |
Correct |
153 ms |
16028 KB |
Output is correct |
33 |
Correct |
132 ms |
15936 KB |
Output is correct |
34 |
Correct |
78 ms |
15892 KB |
Output is correct |
35 |
Correct |
120 ms |
15996 KB |
Output is correct |
36 |
Correct |
118 ms |
15936 KB |
Output is correct |
37 |
Correct |
118 ms |
15996 KB |
Output is correct |
38 |
Correct |
118 ms |
15940 KB |
Output is correct |
39 |
Correct |
120 ms |
15940 KB |
Output is correct |
40 |
Correct |
116 ms |
15976 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
324 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
277 ms |
15156 KB |
Output is correct |
12 |
Correct |
312 ms |
14756 KB |
Output is correct |
13 |
Correct |
389 ms |
13996 KB |
Output is correct |
14 |
Correct |
445 ms |
14032 KB |
Output is correct |
15 |
Correct |
365 ms |
15056 KB |
Output is correct |
16 |
Correct |
435 ms |
14256 KB |
Output is correct |
17 |
Correct |
424 ms |
14280 KB |
Output is correct |
18 |
Correct |
229 ms |
15992 KB |
Output is correct |
19 |
Correct |
264 ms |
13032 KB |
Output is correct |
20 |
Correct |
276 ms |
14664 KB |
Output is correct |
21 |
Correct |
296 ms |
18120 KB |
Output is correct |
22 |
Correct |
362 ms |
18240 KB |
Output is correct |
23 |
Correct |
512 ms |
17220 KB |
Output is correct |
24 |
Correct |
545 ms |
17224 KB |
Output is correct |
25 |
Correct |
439 ms |
19016 KB |
Output is correct |
26 |
Correct |
560 ms |
17640 KB |
Output is correct |
27 |
Correct |
526 ms |
17516 KB |
Output is correct |
28 |
Correct |
242 ms |
20124 KB |
Output is correct |
29 |
Correct |
292 ms |
16068 KB |
Output is correct |
30 |
Correct |
311 ms |
18312 KB |
Output is correct |
31 |
Correct |
507 ms |
18224 KB |
Output is correct |
32 |
Correct |
560 ms |
18264 KB |
Output is correct |
33 |
Correct |
389 ms |
16940 KB |
Output is correct |
34 |
Correct |
550 ms |
17068 KB |
Output is correct |
35 |
Correct |
530 ms |
17484 KB |
Output is correct |
36 |
Correct |
240 ms |
16068 KB |
Output is correct |
37 |
Correct |
329 ms |
18012 KB |
Output is correct |
38 |
Correct |
311 ms |
16092 KB |
Output is correct |
39 |
Correct |
473 ms |
17392 KB |
Output is correct |
40 |
Correct |
553 ms |
17088 KB |
Output is correct |
41 |
Correct |
89 ms |
15964 KB |
Output is correct |
42 |
Correct |
90 ms |
15972 KB |
Output is correct |
43 |
Correct |
113 ms |
15928 KB |
Output is correct |
44 |
Correct |
132 ms |
15932 KB |
Output is correct |
45 |
Correct |
96 ms |
16052 KB |
Output is correct |
46 |
Correct |
145 ms |
15972 KB |
Output is correct |
47 |
Correct |
139 ms |
15932 KB |
Output is correct |
48 |
Correct |
77 ms |
16192 KB |
Output is correct |
49 |
Correct |
85 ms |
15812 KB |
Output is correct |
50 |
Correct |
84 ms |
16060 KB |
Output is correct |
51 |
Correct |
106 ms |
15984 KB |
Output is correct |
52 |
Correct |
131 ms |
15972 KB |
Output is correct |
53 |
Correct |
93 ms |
15928 KB |
Output is correct |
54 |
Correct |
137 ms |
15940 KB |
Output is correct |
55 |
Correct |
133 ms |
16012 KB |
Output is correct |
56 |
Correct |
78 ms |
15796 KB |
Output is correct |
57 |
Correct |
92 ms |
16052 KB |
Output is correct |
58 |
Correct |
88 ms |
15844 KB |
Output is correct |
59 |
Correct |
105 ms |
15932 KB |
Output is correct |
60 |
Correct |
125 ms |
15924 KB |
Output is correct |
61 |
Correct |
95 ms |
15972 KB |
Output is correct |
62 |
Correct |
153 ms |
16028 KB |
Output is correct |
63 |
Correct |
132 ms |
15936 KB |
Output is correct |
64 |
Correct |
78 ms |
15892 KB |
Output is correct |
65 |
Correct |
120 ms |
15996 KB |
Output is correct |
66 |
Correct |
118 ms |
15936 KB |
Output is correct |
67 |
Correct |
118 ms |
15996 KB |
Output is correct |
68 |
Correct |
118 ms |
15940 KB |
Output is correct |
69 |
Correct |
120 ms |
15940 KB |
Output is correct |
70 |
Correct |
116 ms |
15976 KB |
Output is correct |
71 |
Correct |
487 ms |
21616 KB |
Output is correct |
72 |
Correct |
620 ms |
21792 KB |
Output is correct |
73 |
Correct |
943 ms |
20372 KB |
Output is correct |
74 |
Correct |
1386 ms |
20664 KB |
Output is correct |
75 |
Correct |
698 ms |
22648 KB |
Output is correct |
76 |
Correct |
1645 ms |
20968 KB |
Output is correct |
77 |
Correct |
1450 ms |
20880 KB |
Output is correct |
78 |
Correct |
375 ms |
24640 KB |
Output is correct |
79 |
Correct |
509 ms |
18640 KB |
Output is correct |
80 |
Correct |
497 ms |
21740 KB |
Output is correct |
81 |
Correct |
965 ms |
21596 KB |
Output is correct |
82 |
Correct |
1320 ms |
20600 KB |
Output is correct |
83 |
Correct |
664 ms |
19700 KB |
Output is correct |
84 |
Correct |
1673 ms |
20664 KB |
Output is correct |
85 |
Correct |
1507 ms |
20740 KB |
Output is correct |
86 |
Correct |
367 ms |
18544 KB |
Output is correct |
87 |
Correct |
599 ms |
21540 KB |
Output is correct |
88 |
Correct |
526 ms |
18588 KB |
Output is correct |
89 |
Correct |
910 ms |
20280 KB |
Output is correct |
90 |
Correct |
1294 ms |
20448 KB |
Output is correct |
91 |
Correct |
713 ms |
19600 KB |
Output is correct |
92 |
Correct |
1774 ms |
20808 KB |
Output is correct |
93 |
Correct |
1460 ms |
20804 KB |
Output is correct |
94 |
Correct |
379 ms |
18336 KB |
Output is correct |
95 |
Correct |
1163 ms |
20496 KB |
Output is correct |
96 |
Correct |
1180 ms |
20504 KB |
Output is correct |
97 |
Correct |
1171 ms |
20388 KB |
Output is correct |
98 |
Correct |
1159 ms |
20088 KB |
Output is correct |
99 |
Correct |
1166 ms |
19824 KB |
Output is correct |
100 |
Correct |
1178 ms |
19612 KB |
Output is correct |