#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 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;
//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 x) {
if (i == o.size()) {
res += x*zer[c];
return;
}
rec1(o, i + 1, c, x);
rec1(o, i + 1, c + o[i], -x);
}
void rec0(vector<int>& z, int i, int c, int x) {
if (i == z.size()) {
res += x*on[c];
return;
}
rec0(z, i + 1, c, x);
rec0(z, i + 1, c + z[i], -x);
}
void recq(vector<int>& q, int i, int c) {
if (i == q.size()) { res += str[c] - '0'; 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, 1);
/*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, 1);
/*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)':
snake_escaping.cpp:31:8: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
31 | if (i == o.size()) {
| ~~^~~~~~~~~~~
snake_escaping.cpp: In function 'void rec0(std::vector<int>&, int, int, int)':
snake_escaping.cpp:40:8: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
40 | if (i == z.size()) {
| ~~^~~~~~~~~~~
snake_escaping.cpp: In function 'void recq(std::vector<int>&, int, int)':
snake_escaping.cpp:49:8: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
49 | if (i == q.size()) { res += str[c] - '0'; return; }
| ~~^~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
2392 KB |
Output is correct |
2 |
Correct |
3 ms |
2396 KB |
Output is correct |
3 |
Correct |
4 ms |
2396 KB |
Output is correct |
4 |
Correct |
2 ms |
2396 KB |
Output is correct |
5 |
Correct |
2 ms |
2396 KB |
Output is correct |
6 |
Correct |
3 ms |
2392 KB |
Output is correct |
7 |
Correct |
2 ms |
2648 KB |
Output is correct |
8 |
Correct |
2 ms |
2396 KB |
Output is correct |
9 |
Correct |
2 ms |
2396 KB |
Output is correct |
10 |
Correct |
3 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
2392 KB |
Output is correct |
2 |
Correct |
3 ms |
2396 KB |
Output is correct |
3 |
Correct |
4 ms |
2396 KB |
Output is correct |
4 |
Correct |
2 ms |
2396 KB |
Output is correct |
5 |
Correct |
2 ms |
2396 KB |
Output is correct |
6 |
Correct |
3 ms |
2392 KB |
Output is correct |
7 |
Correct |
2 ms |
2648 KB |
Output is correct |
8 |
Correct |
2 ms |
2396 KB |
Output is correct |
9 |
Correct |
2 ms |
2396 KB |
Output is correct |
10 |
Correct |
3 ms |
2396 KB |
Output is correct |
11 |
Correct |
1460 ms |
11936 KB |
Output is correct |
12 |
Correct |
1474 ms |
11996 KB |
Output is correct |
13 |
Correct |
1507 ms |
10912 KB |
Output is correct |
14 |
Correct |
1527 ms |
11124 KB |
Output is correct |
15 |
Correct |
1467 ms |
12052 KB |
Output is correct |
16 |
Correct |
1518 ms |
11296 KB |
Output is correct |
17 |
Correct |
1546 ms |
11504 KB |
Output is correct |
18 |
Correct |
1384 ms |
12972 KB |
Output is correct |
19 |
Correct |
1472 ms |
9952 KB |
Output is correct |
20 |
Correct |
1455 ms |
11748 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
2392 KB |
Output is correct |
2 |
Correct |
3 ms |
2396 KB |
Output is correct |
3 |
Correct |
4 ms |
2396 KB |
Output is correct |
4 |
Correct |
2 ms |
2396 KB |
Output is correct |
5 |
Correct |
2 ms |
2396 KB |
Output is correct |
6 |
Correct |
3 ms |
2392 KB |
Output is correct |
7 |
Correct |
2 ms |
2648 KB |
Output is correct |
8 |
Correct |
2 ms |
2396 KB |
Output is correct |
9 |
Correct |
2 ms |
2396 KB |
Output is correct |
10 |
Correct |
3 ms |
2396 KB |
Output is correct |
11 |
Correct |
1460 ms |
11936 KB |
Output is correct |
12 |
Correct |
1474 ms |
11996 KB |
Output is correct |
13 |
Correct |
1507 ms |
10912 KB |
Output is correct |
14 |
Correct |
1527 ms |
11124 KB |
Output is correct |
15 |
Correct |
1467 ms |
12052 KB |
Output is correct |
16 |
Correct |
1518 ms |
11296 KB |
Output is correct |
17 |
Correct |
1546 ms |
11504 KB |
Output is correct |
18 |
Correct |
1384 ms |
12972 KB |
Output is correct |
19 |
Correct |
1472 ms |
9952 KB |
Output is correct |
20 |
Correct |
1455 ms |
11748 KB |
Output is correct |
21 |
Correct |
1521 ms |
13892 KB |
Output is correct |
22 |
Correct |
1484 ms |
13884 KB |
Output is correct |
23 |
Correct |
1601 ms |
13196 KB |
Output is correct |
24 |
Correct |
1650 ms |
12700 KB |
Output is correct |
25 |
Correct |
1548 ms |
14536 KB |
Output is correct |
26 |
Correct |
1631 ms |
13652 KB |
Output is correct |
27 |
Correct |
1660 ms |
13080 KB |
Output is correct |
28 |
Correct |
1464 ms |
15848 KB |
Output is correct |
29 |
Correct |
1482 ms |
11700 KB |
Output is correct |
30 |
Correct |
1505 ms |
13688 KB |
Output is correct |
31 |
Correct |
1596 ms |
13488 KB |
Output is correct |
32 |
Correct |
1728 ms |
13692 KB |
Output is correct |
33 |
Correct |
1506 ms |
12540 KB |
Output is correct |
34 |
Correct |
1614 ms |
12696 KB |
Output is correct |
35 |
Correct |
1607 ms |
13024 KB |
Output is correct |
36 |
Correct |
1369 ms |
11900 KB |
Output is correct |
37 |
Correct |
1476 ms |
13716 KB |
Output is correct |
38 |
Correct |
1516 ms |
11684 KB |
Output is correct |
39 |
Correct |
1583 ms |
12844 KB |
Output is correct |
40 |
Correct |
1623 ms |
12856 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
2392 KB |
Output is correct |
2 |
Correct |
3 ms |
2396 KB |
Output is correct |
3 |
Correct |
4 ms |
2396 KB |
Output is correct |
4 |
Correct |
2 ms |
2396 KB |
Output is correct |
5 |
Correct |
2 ms |
2396 KB |
Output is correct |
6 |
Correct |
3 ms |
2392 KB |
Output is correct |
7 |
Correct |
2 ms |
2648 KB |
Output is correct |
8 |
Correct |
2 ms |
2396 KB |
Output is correct |
9 |
Correct |
2 ms |
2396 KB |
Output is correct |
10 |
Correct |
3 ms |
2396 KB |
Output is correct |
11 |
Correct |
104 ms |
11888 KB |
Output is correct |
12 |
Correct |
101 ms |
12032 KB |
Output is correct |
13 |
Correct |
121 ms |
12032 KB |
Output is correct |
14 |
Correct |
128 ms |
12032 KB |
Output is correct |
15 |
Correct |
104 ms |
12028 KB |
Output is correct |
16 |
Correct |
126 ms |
12028 KB |
Output is correct |
17 |
Correct |
138 ms |
12224 KB |
Output is correct |
18 |
Correct |
91 ms |
12032 KB |
Output is correct |
19 |
Correct |
101 ms |
12028 KB |
Output is correct |
20 |
Correct |
105 ms |
12028 KB |
Output is correct |
21 |
Correct |
111 ms |
12032 KB |
Output is correct |
22 |
Correct |
120 ms |
12032 KB |
Output is correct |
23 |
Correct |
105 ms |
12028 KB |
Output is correct |
24 |
Correct |
146 ms |
12100 KB |
Output is correct |
25 |
Correct |
119 ms |
12028 KB |
Output is correct |
26 |
Correct |
91 ms |
12032 KB |
Output is correct |
27 |
Correct |
101 ms |
12032 KB |
Output is correct |
28 |
Correct |
104 ms |
12028 KB |
Output is correct |
29 |
Correct |
109 ms |
12032 KB |
Output is correct |
30 |
Correct |
118 ms |
12100 KB |
Output is correct |
31 |
Correct |
122 ms |
12028 KB |
Output is correct |
32 |
Correct |
120 ms |
12028 KB |
Output is correct |
33 |
Correct |
119 ms |
12028 KB |
Output is correct |
34 |
Correct |
90 ms |
12092 KB |
Output is correct |
35 |
Correct |
113 ms |
12028 KB |
Output is correct |
36 |
Correct |
113 ms |
12032 KB |
Output is correct |
37 |
Correct |
116 ms |
12096 KB |
Output is correct |
38 |
Correct |
139 ms |
12116 KB |
Output is correct |
39 |
Correct |
111 ms |
12032 KB |
Output is correct |
40 |
Correct |
111 ms |
12028 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
2392 KB |
Output is correct |
2 |
Correct |
3 ms |
2396 KB |
Output is correct |
3 |
Correct |
4 ms |
2396 KB |
Output is correct |
4 |
Correct |
2 ms |
2396 KB |
Output is correct |
5 |
Correct |
2 ms |
2396 KB |
Output is correct |
6 |
Correct |
3 ms |
2392 KB |
Output is correct |
7 |
Correct |
2 ms |
2648 KB |
Output is correct |
8 |
Correct |
2 ms |
2396 KB |
Output is correct |
9 |
Correct |
2 ms |
2396 KB |
Output is correct |
10 |
Correct |
3 ms |
2396 KB |
Output is correct |
11 |
Correct |
1460 ms |
11936 KB |
Output is correct |
12 |
Correct |
1474 ms |
11996 KB |
Output is correct |
13 |
Correct |
1507 ms |
10912 KB |
Output is correct |
14 |
Correct |
1527 ms |
11124 KB |
Output is correct |
15 |
Correct |
1467 ms |
12052 KB |
Output is correct |
16 |
Correct |
1518 ms |
11296 KB |
Output is correct |
17 |
Correct |
1546 ms |
11504 KB |
Output is correct |
18 |
Correct |
1384 ms |
12972 KB |
Output is correct |
19 |
Correct |
1472 ms |
9952 KB |
Output is correct |
20 |
Correct |
1455 ms |
11748 KB |
Output is correct |
21 |
Correct |
1521 ms |
13892 KB |
Output is correct |
22 |
Correct |
1484 ms |
13884 KB |
Output is correct |
23 |
Correct |
1601 ms |
13196 KB |
Output is correct |
24 |
Correct |
1650 ms |
12700 KB |
Output is correct |
25 |
Correct |
1548 ms |
14536 KB |
Output is correct |
26 |
Correct |
1631 ms |
13652 KB |
Output is correct |
27 |
Correct |
1660 ms |
13080 KB |
Output is correct |
28 |
Correct |
1464 ms |
15848 KB |
Output is correct |
29 |
Correct |
1482 ms |
11700 KB |
Output is correct |
30 |
Correct |
1505 ms |
13688 KB |
Output is correct |
31 |
Correct |
1596 ms |
13488 KB |
Output is correct |
32 |
Correct |
1728 ms |
13692 KB |
Output is correct |
33 |
Correct |
1506 ms |
12540 KB |
Output is correct |
34 |
Correct |
1614 ms |
12696 KB |
Output is correct |
35 |
Correct |
1607 ms |
13024 KB |
Output is correct |
36 |
Correct |
1369 ms |
11900 KB |
Output is correct |
37 |
Correct |
1476 ms |
13716 KB |
Output is correct |
38 |
Correct |
1516 ms |
11684 KB |
Output is correct |
39 |
Correct |
1583 ms |
12844 KB |
Output is correct |
40 |
Correct |
1623 ms |
12856 KB |
Output is correct |
41 |
Correct |
104 ms |
11888 KB |
Output is correct |
42 |
Correct |
101 ms |
12032 KB |
Output is correct |
43 |
Correct |
121 ms |
12032 KB |
Output is correct |
44 |
Correct |
128 ms |
12032 KB |
Output is correct |
45 |
Correct |
104 ms |
12028 KB |
Output is correct |
46 |
Correct |
126 ms |
12028 KB |
Output is correct |
47 |
Correct |
138 ms |
12224 KB |
Output is correct |
48 |
Correct |
91 ms |
12032 KB |
Output is correct |
49 |
Correct |
101 ms |
12028 KB |
Output is correct |
50 |
Correct |
105 ms |
12028 KB |
Output is correct |
51 |
Correct |
111 ms |
12032 KB |
Output is correct |
52 |
Correct |
120 ms |
12032 KB |
Output is correct |
53 |
Correct |
105 ms |
12028 KB |
Output is correct |
54 |
Correct |
146 ms |
12100 KB |
Output is correct |
55 |
Correct |
119 ms |
12028 KB |
Output is correct |
56 |
Correct |
91 ms |
12032 KB |
Output is correct |
57 |
Correct |
101 ms |
12032 KB |
Output is correct |
58 |
Correct |
104 ms |
12028 KB |
Output is correct |
59 |
Correct |
109 ms |
12032 KB |
Output is correct |
60 |
Correct |
118 ms |
12100 KB |
Output is correct |
61 |
Correct |
122 ms |
12028 KB |
Output is correct |
62 |
Correct |
120 ms |
12028 KB |
Output is correct |
63 |
Correct |
119 ms |
12028 KB |
Output is correct |
64 |
Correct |
90 ms |
12092 KB |
Output is correct |
65 |
Correct |
113 ms |
12028 KB |
Output is correct |
66 |
Correct |
113 ms |
12032 KB |
Output is correct |
67 |
Correct |
116 ms |
12096 KB |
Output is correct |
68 |
Correct |
139 ms |
12116 KB |
Output is correct |
69 |
Correct |
111 ms |
12032 KB |
Output is correct |
70 |
Correct |
111 ms |
12028 KB |
Output is correct |
71 |
Correct |
1673 ms |
25864 KB |
Output is correct |
72 |
Correct |
1753 ms |
25964 KB |
Output is correct |
73 |
Correct |
1924 ms |
24664 KB |
Output is correct |
74 |
Execution timed out |
2044 ms |
24912 KB |
Time limit exceeded |
75 |
Halted |
0 ms |
0 KB |
- |