#include<iostream>
#include<string>
using namespace std;
#include<map>
#include<string>
#include<algorithm>
#include<vector>
#define maxp 1048580
using namespace std;
#define all(x) x.begin(),x.end()
string str;
int st[maxp];
int n,p;
int zer[maxp], on[maxp];
//vector<int> zer, on;//sum of those i contains, sum of those contains me i
void init(int N, int Q, string S) {
n = N; p = 1 << n;
str = S;
for (int i = 0; i < p; i++) st[i] = str[i] - '0';
//zer.resize(p); on.resize(p);
for (int i = 0; i < p; i++) zer[i] = on[i] = S[i] - '0';
for (int i = 0; i < n; i++) {
for (int j = 0; j < p; j++) {
if (j & (1 << i)) zer[j] += zer[j - (1 << i)];
else on[j] += on[j + (1 << i)];
}
}
}
int ab(int x) { return x > 0 ? x : -x; }
int res;
void rec1(vector<int>& o, int i, int c, int a, int b) {
if (i == o.size()) {
res += (a^zer[c]) + b;
return;
}
rec1(o, i + 1, c, a, b);
rec1(o, i + 1, c + o[i], ~a, 1-b);
}
void rec0(vector<int>& z, int i, int c, int a, int b) {
if (i == z.size()) {
res += (a^on[c]) + b;
return;
}
rec0(z, i + 1, c, a, b);
rec0(z, i + 1, c + z[i], ~a, 1-b);
}
void recq(vector<int>& q, int i, int c) {
if (i == q.size()) { res += st[c]; return; }
recq(q, i + 1, c);
recq(q, i + 1, c + q[i]);
}
int query(string A) {
vector<int> ze, o, q;
for (int i = 0; i < n; i++) {
if (A[i] == '0') ze.push_back(1 << (n-1-i));
else if (A[i] == '1') o.push_back(1 << (n-1-i));
else q.push_back(1 << (n-1-i));
}
/*
3 5
12345678
000
0??
1?0
?11
???
*/
if (ze.size() > o.size() && q.size() > o.size()) {
int c = 0;
for (int i : q) c += i;
res = 0;
rec1(o, 0, c, 0, 0);
/*for (int i = 0; i < (1 << o.size()); i++) {
int w = c, x=0;
for (int j = 0; j < o.size(); j++) {
if (i & (1 << j)) {
w += o[j];
x++;
}
}
if (x & 1) res += zer[w];
else res -= zer[w];
}*/
return ab(res);
}
else if(q.size() > ze.size()) {
int c = 0;
for (int i : o) c += i;
res = 0;
rec0(ze, 0, c, 0, 0);
/*for (int i = 0; i < (1 << ze.size()); i++) {
int w = c, x = 0;
for (int j = 0; j < ze.size(); j++) {
if (i & (1 << j)) {
w += ze[j];
x++;
}
}
if (x & 1) res += on[w];
else res -= on[w];
}*/
return ab(res);
}
else {
res = 0;
int c = 0;
for (int i : o) c += i;
recq(q, 0, c);
return res;
}
return 0;
}
int main() {
ios::sync_with_stdio(0); cin.tie(0);
int N, Q; cin >> N >> Q;
string S; cin >> S;
init(N, Q, move(S));
for (int i = 0; i < Q; i++) {
string A;
cin >> A;
cout << query(move(A)) << endl;
}
}
Compilation message
snake_escaping.cpp: In function 'void rec1(std::vector<int>&, int, int, int, int)':
snake_escaping.cpp:33:8: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
33 | if (i == o.size()) {
| ~~^~~~~~~~~~~
snake_escaping.cpp: In function 'void rec0(std::vector<int>&, int, int, int, int)':
snake_escaping.cpp:42:8: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
42 | if (i == z.size()) {
| ~~^~~~~~~~~~~
snake_escaping.cpp: In function 'void recq(std::vector<int>&, int, int)':
snake_escaping.cpp:51:8: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
51 | if (i == q.size()) { res += st[c]; return; }
| ~~^~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
4444 KB |
Output is correct |
2 |
Correct |
3 ms |
4444 KB |
Output is correct |
3 |
Correct |
3 ms |
4444 KB |
Output is correct |
4 |
Correct |
2 ms |
4440 KB |
Output is correct |
5 |
Correct |
2 ms |
4440 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4556 KB |
Output is correct |
8 |
Correct |
2 ms |
4444 KB |
Output is correct |
9 |
Correct |
2 ms |
4440 KB |
Output is correct |
10 |
Correct |
2 ms |
4440 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
4444 KB |
Output is correct |
2 |
Correct |
3 ms |
4444 KB |
Output is correct |
3 |
Correct |
3 ms |
4444 KB |
Output is correct |
4 |
Correct |
2 ms |
4440 KB |
Output is correct |
5 |
Correct |
2 ms |
4440 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4556 KB |
Output is correct |
8 |
Correct |
2 ms |
4444 KB |
Output is correct |
9 |
Correct |
2 ms |
4440 KB |
Output is correct |
10 |
Correct |
2 ms |
4440 KB |
Output is correct |
11 |
Correct |
1437 ms |
8564 KB |
Output is correct |
12 |
Correct |
1443 ms |
8004 KB |
Output is correct |
13 |
Correct |
1500 ms |
7396 KB |
Output is correct |
14 |
Correct |
1522 ms |
7672 KB |
Output is correct |
15 |
Correct |
1461 ms |
8528 KB |
Output is correct |
16 |
Correct |
1518 ms |
7508 KB |
Output is correct |
17 |
Correct |
1516 ms |
7712 KB |
Output is correct |
18 |
Correct |
1350 ms |
9460 KB |
Output is correct |
19 |
Correct |
1485 ms |
6504 KB |
Output is correct |
20 |
Correct |
1461 ms |
8340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
4444 KB |
Output is correct |
2 |
Correct |
3 ms |
4444 KB |
Output is correct |
3 |
Correct |
3 ms |
4444 KB |
Output is correct |
4 |
Correct |
2 ms |
4440 KB |
Output is correct |
5 |
Correct |
2 ms |
4440 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4556 KB |
Output is correct |
8 |
Correct |
2 ms |
4444 KB |
Output is correct |
9 |
Correct |
2 ms |
4440 KB |
Output is correct |
10 |
Correct |
2 ms |
4440 KB |
Output is correct |
11 |
Correct |
1437 ms |
8564 KB |
Output is correct |
12 |
Correct |
1443 ms |
8004 KB |
Output is correct |
13 |
Correct |
1500 ms |
7396 KB |
Output is correct |
14 |
Correct |
1522 ms |
7672 KB |
Output is correct |
15 |
Correct |
1461 ms |
8528 KB |
Output is correct |
16 |
Correct |
1518 ms |
7508 KB |
Output is correct |
17 |
Correct |
1516 ms |
7712 KB |
Output is correct |
18 |
Correct |
1350 ms |
9460 KB |
Output is correct |
19 |
Correct |
1485 ms |
6504 KB |
Output is correct |
20 |
Correct |
1461 ms |
8340 KB |
Output is correct |
21 |
Correct |
1472 ms |
8768 KB |
Output is correct |
22 |
Correct |
1490 ms |
8552 KB |
Output is correct |
23 |
Correct |
1576 ms |
7768 KB |
Output is correct |
24 |
Correct |
1597 ms |
7716 KB |
Output is correct |
25 |
Correct |
1521 ms |
9604 KB |
Output is correct |
26 |
Correct |
1599 ms |
8080 KB |
Output is correct |
27 |
Correct |
1603 ms |
8320 KB |
Output is correct |
28 |
Correct |
1354 ms |
10624 KB |
Output is correct |
29 |
Correct |
1467 ms |
6588 KB |
Output is correct |
30 |
Correct |
1500 ms |
8904 KB |
Output is correct |
31 |
Correct |
1601 ms |
8792 KB |
Output is correct |
32 |
Correct |
1604 ms |
8592 KB |
Output is correct |
33 |
Correct |
1493 ms |
7472 KB |
Output is correct |
34 |
Correct |
1662 ms |
7904 KB |
Output is correct |
35 |
Correct |
1615 ms |
7888 KB |
Output is correct |
36 |
Correct |
1359 ms |
6492 KB |
Output is correct |
37 |
Correct |
1478 ms |
8404 KB |
Output is correct |
38 |
Correct |
1493 ms |
6816 KB |
Output is correct |
39 |
Correct |
1568 ms |
7764 KB |
Output is correct |
40 |
Correct |
1596 ms |
7948 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
4444 KB |
Output is correct |
2 |
Correct |
3 ms |
4444 KB |
Output is correct |
3 |
Correct |
3 ms |
4444 KB |
Output is correct |
4 |
Correct |
2 ms |
4440 KB |
Output is correct |
5 |
Correct |
2 ms |
4440 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4556 KB |
Output is correct |
8 |
Correct |
2 ms |
4444 KB |
Output is correct |
9 |
Correct |
2 ms |
4440 KB |
Output is correct |
10 |
Correct |
2 ms |
4440 KB |
Output is correct |
11 |
Correct |
106 ms |
14844 KB |
Output is correct |
12 |
Correct |
103 ms |
14844 KB |
Output is correct |
13 |
Correct |
135 ms |
14844 KB |
Output is correct |
14 |
Correct |
125 ms |
14848 KB |
Output is correct |
15 |
Correct |
105 ms |
14848 KB |
Output is correct |
16 |
Correct |
121 ms |
14848 KB |
Output is correct |
17 |
Correct |
126 ms |
14848 KB |
Output is correct |
18 |
Correct |
94 ms |
14848 KB |
Output is correct |
19 |
Correct |
101 ms |
14844 KB |
Output is correct |
20 |
Correct |
115 ms |
14844 KB |
Output is correct |
21 |
Correct |
111 ms |
14848 KB |
Output is correct |
22 |
Correct |
125 ms |
14848 KB |
Output is correct |
23 |
Correct |
104 ms |
14848 KB |
Output is correct |
24 |
Correct |
145 ms |
14844 KB |
Output is correct |
25 |
Correct |
124 ms |
14844 KB |
Output is correct |
26 |
Correct |
99 ms |
14848 KB |
Output is correct |
27 |
Correct |
100 ms |
14848 KB |
Output is correct |
28 |
Correct |
103 ms |
14844 KB |
Output is correct |
29 |
Correct |
115 ms |
14848 KB |
Output is correct |
30 |
Correct |
134 ms |
14848 KB |
Output is correct |
31 |
Correct |
109 ms |
14848 KB |
Output is correct |
32 |
Correct |
127 ms |
14848 KB |
Output is correct |
33 |
Correct |
122 ms |
14848 KB |
Output is correct |
34 |
Correct |
100 ms |
14844 KB |
Output is correct |
35 |
Correct |
115 ms |
14844 KB |
Output is correct |
36 |
Correct |
113 ms |
14848 KB |
Output is correct |
37 |
Correct |
121 ms |
14848 KB |
Output is correct |
38 |
Correct |
115 ms |
14848 KB |
Output is correct |
39 |
Correct |
115 ms |
14848 KB |
Output is correct |
40 |
Correct |
114 ms |
14844 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
4444 KB |
Output is correct |
2 |
Correct |
3 ms |
4444 KB |
Output is correct |
3 |
Correct |
3 ms |
4444 KB |
Output is correct |
4 |
Correct |
2 ms |
4440 KB |
Output is correct |
5 |
Correct |
2 ms |
4440 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4556 KB |
Output is correct |
8 |
Correct |
2 ms |
4444 KB |
Output is correct |
9 |
Correct |
2 ms |
4440 KB |
Output is correct |
10 |
Correct |
2 ms |
4440 KB |
Output is correct |
11 |
Correct |
1437 ms |
8564 KB |
Output is correct |
12 |
Correct |
1443 ms |
8004 KB |
Output is correct |
13 |
Correct |
1500 ms |
7396 KB |
Output is correct |
14 |
Correct |
1522 ms |
7672 KB |
Output is correct |
15 |
Correct |
1461 ms |
8528 KB |
Output is correct |
16 |
Correct |
1518 ms |
7508 KB |
Output is correct |
17 |
Correct |
1516 ms |
7712 KB |
Output is correct |
18 |
Correct |
1350 ms |
9460 KB |
Output is correct |
19 |
Correct |
1485 ms |
6504 KB |
Output is correct |
20 |
Correct |
1461 ms |
8340 KB |
Output is correct |
21 |
Correct |
1472 ms |
8768 KB |
Output is correct |
22 |
Correct |
1490 ms |
8552 KB |
Output is correct |
23 |
Correct |
1576 ms |
7768 KB |
Output is correct |
24 |
Correct |
1597 ms |
7716 KB |
Output is correct |
25 |
Correct |
1521 ms |
9604 KB |
Output is correct |
26 |
Correct |
1599 ms |
8080 KB |
Output is correct |
27 |
Correct |
1603 ms |
8320 KB |
Output is correct |
28 |
Correct |
1354 ms |
10624 KB |
Output is correct |
29 |
Correct |
1467 ms |
6588 KB |
Output is correct |
30 |
Correct |
1500 ms |
8904 KB |
Output is correct |
31 |
Correct |
1601 ms |
8792 KB |
Output is correct |
32 |
Correct |
1604 ms |
8592 KB |
Output is correct |
33 |
Correct |
1493 ms |
7472 KB |
Output is correct |
34 |
Correct |
1662 ms |
7904 KB |
Output is correct |
35 |
Correct |
1615 ms |
7888 KB |
Output is correct |
36 |
Correct |
1359 ms |
6492 KB |
Output is correct |
37 |
Correct |
1478 ms |
8404 KB |
Output is correct |
38 |
Correct |
1493 ms |
6816 KB |
Output is correct |
39 |
Correct |
1568 ms |
7764 KB |
Output is correct |
40 |
Correct |
1596 ms |
7948 KB |
Output is correct |
41 |
Correct |
106 ms |
14844 KB |
Output is correct |
42 |
Correct |
103 ms |
14844 KB |
Output is correct |
43 |
Correct |
135 ms |
14844 KB |
Output is correct |
44 |
Correct |
125 ms |
14848 KB |
Output is correct |
45 |
Correct |
105 ms |
14848 KB |
Output is correct |
46 |
Correct |
121 ms |
14848 KB |
Output is correct |
47 |
Correct |
126 ms |
14848 KB |
Output is correct |
48 |
Correct |
94 ms |
14848 KB |
Output is correct |
49 |
Correct |
101 ms |
14844 KB |
Output is correct |
50 |
Correct |
115 ms |
14844 KB |
Output is correct |
51 |
Correct |
111 ms |
14848 KB |
Output is correct |
52 |
Correct |
125 ms |
14848 KB |
Output is correct |
53 |
Correct |
104 ms |
14848 KB |
Output is correct |
54 |
Correct |
145 ms |
14844 KB |
Output is correct |
55 |
Correct |
124 ms |
14844 KB |
Output is correct |
56 |
Correct |
99 ms |
14848 KB |
Output is correct |
57 |
Correct |
100 ms |
14848 KB |
Output is correct |
58 |
Correct |
103 ms |
14844 KB |
Output is correct |
59 |
Correct |
115 ms |
14848 KB |
Output is correct |
60 |
Correct |
134 ms |
14848 KB |
Output is correct |
61 |
Correct |
109 ms |
14848 KB |
Output is correct |
62 |
Correct |
127 ms |
14848 KB |
Output is correct |
63 |
Correct |
122 ms |
14848 KB |
Output is correct |
64 |
Correct |
100 ms |
14844 KB |
Output is correct |
65 |
Correct |
115 ms |
14844 KB |
Output is correct |
66 |
Correct |
113 ms |
14848 KB |
Output is correct |
67 |
Correct |
121 ms |
14848 KB |
Output is correct |
68 |
Correct |
115 ms |
14848 KB |
Output is correct |
69 |
Correct |
115 ms |
14848 KB |
Output is correct |
70 |
Correct |
114 ms |
14844 KB |
Output is correct |
71 |
Correct |
1656 ms |
18912 KB |
Output is correct |
72 |
Correct |
1676 ms |
19256 KB |
Output is correct |
73 |
Correct |
1885 ms |
17380 KB |
Output is correct |
74 |
Execution timed out |
2045 ms |
17884 KB |
Time limit exceeded |
75 |
Halted |
0 ms |
0 KB |
- |