#include<bits/stdc++.h>
#define ll long long
#define int ll
#define pii pair<int,int>
using namespace std;
const int BIT = 20;
int f[1<<BIT], g[1<<BIT], h[1<<BIT], ans;
void solve2(int i, vector<int> &v, int val) {
if (i==v.size()) {
ans += h[val];
return;
}
val &= ~(1<<v[i]);
solve2(i+1,v,val);
val |= (1<<v[i]);
solve2(i+1,v,val);
}
void solve1(int i, vector<int> &v, int val, int cnt) {
if (i==v.size()) {
if (cnt==0) return;
if (cnt%2) {
ans -= f[val];
}
else {
ans += f[val];
}
return;
}
val |= (1<<v[i]);
solve1(i+1,v,val,cnt);
val &= ~(1<<v[i]);
solve1(i+1,v,val,cnt+1);
}
void solve0(int i, vector<int> &v, int val, int cnt) {
if (i==v.size()) {
if (cnt==0) return;
if (cnt%2) {
ans -= g[val];
}
else {
ans += g[val];
}
return;
}
val |= (1<<v[i]);
solve0(i+1,v,val,cnt+1);
val &= ~(1<<v[i]);
solve0(i+1,v,val,cnt);
}
void solve() {
int n,q; cin >> n >> q;
for (int i =0; i < (1<<n); i++) {
char c; cin >> c;
f[i] += c - '0';
g[i] += c - '0';
h[i] += c - '0';
// cerr << "cin >> " << bitset<5>(i) << " :" << c << endl;
}
for (int i = 0; i < n; i++) {
for (int x = 0; x < (1<<n); x++) {
if (x&(1<<i)) f[x] += f[x^(1<<i)];
else g[x] += g[x^(1<<i)];
}
}
for (int i = 0; i < q; i++) {
string s; cin >> s;
reverse(s.begin(), s.end());
int cnt = 0, val = 0, val2 = 0,val1 = 0;
vector<int> v1,v2,v0;
for (char c : s) {
if (c!='0') {
val |= (1<<cnt);
if (c=='1') {
val2 |= (1<<cnt);
v1.push_back(cnt);
}
else {
v2.push_back(cnt);
val1 |= (1<<cnt);
}
}
else {
v0.push_back(cnt);
}
cnt++;
}
if (v2.size() <= v1.size() && v2.size() <= v0.size()) {
ans = 0;
solve2(0,v2,val);
}
else if (v1.size() <= v2.size() && v1.size() <= v0.size()) {
ans = f[val];
solve1(0,v1,val,0);
}
else {
ans = g[val2];
solve0(0,v0,val2,0);
}
cout << ans << '\n';
}
}
signed main() {
cin.tie(0) -> sync_with_stdio(0);
solve();
return 0;
}
Compilation message
snake_escaping.cpp: In function 'void solve2(long long int, std::vector<long long int>&, long long int)':
snake_escaping.cpp:13:10: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
13 | if (i==v.size()) {
| ~^~~~~~~~~~
snake_escaping.cpp: In function 'void solve1(long long int, std::vector<long long int>&, long long int, long long int)':
snake_escaping.cpp:24:10: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
24 | if (i==v.size()) {
| ~^~~~~~~~~~
snake_escaping.cpp: In function 'void solve0(long long int, std::vector<long long int>&, long long int, long long int)':
snake_escaping.cpp:41:10: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
41 | if (i==v.size()) {
| ~^~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4432 KB |
Output is correct |
2 |
Correct |
2 ms |
4432 KB |
Output is correct |
3 |
Correct |
2 ms |
4432 KB |
Output is correct |
4 |
Correct |
2 ms |
4432 KB |
Output is correct |
5 |
Correct |
1 ms |
4432 KB |
Output is correct |
6 |
Correct |
1 ms |
4432 KB |
Output is correct |
7 |
Correct |
2 ms |
4444 KB |
Output is correct |
8 |
Correct |
2 ms |
4432 KB |
Output is correct |
9 |
Correct |
1 ms |
4432 KB |
Output is correct |
10 |
Correct |
1 ms |
4432 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4432 KB |
Output is correct |
2 |
Correct |
2 ms |
4432 KB |
Output is correct |
3 |
Correct |
2 ms |
4432 KB |
Output is correct |
4 |
Correct |
2 ms |
4432 KB |
Output is correct |
5 |
Correct |
1 ms |
4432 KB |
Output is correct |
6 |
Correct |
1 ms |
4432 KB |
Output is correct |
7 |
Correct |
2 ms |
4444 KB |
Output is correct |
8 |
Correct |
2 ms |
4432 KB |
Output is correct |
9 |
Correct |
1 ms |
4432 KB |
Output is correct |
10 |
Correct |
1 ms |
4432 KB |
Output is correct |
11 |
Correct |
282 ms |
19272 KB |
Output is correct |
12 |
Correct |
320 ms |
18760 KB |
Output is correct |
13 |
Correct |
340 ms |
18248 KB |
Output is correct |
14 |
Correct |
360 ms |
18224 KB |
Output is correct |
15 |
Correct |
307 ms |
19272 KB |
Output is correct |
16 |
Correct |
339 ms |
18504 KB |
Output is correct |
17 |
Correct |
429 ms |
18248 KB |
Output is correct |
18 |
Correct |
202 ms |
20112 KB |
Output is correct |
19 |
Correct |
290 ms |
17232 KB |
Output is correct |
20 |
Correct |
271 ms |
18820 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4432 KB |
Output is correct |
2 |
Correct |
2 ms |
4432 KB |
Output is correct |
3 |
Correct |
2 ms |
4432 KB |
Output is correct |
4 |
Correct |
2 ms |
4432 KB |
Output is correct |
5 |
Correct |
1 ms |
4432 KB |
Output is correct |
6 |
Correct |
1 ms |
4432 KB |
Output is correct |
7 |
Correct |
2 ms |
4444 KB |
Output is correct |
8 |
Correct |
2 ms |
4432 KB |
Output is correct |
9 |
Correct |
1 ms |
4432 KB |
Output is correct |
10 |
Correct |
1 ms |
4432 KB |
Output is correct |
11 |
Correct |
282 ms |
19272 KB |
Output is correct |
12 |
Correct |
320 ms |
18760 KB |
Output is correct |
13 |
Correct |
340 ms |
18248 KB |
Output is correct |
14 |
Correct |
360 ms |
18224 KB |
Output is correct |
15 |
Correct |
307 ms |
19272 KB |
Output is correct |
16 |
Correct |
339 ms |
18504 KB |
Output is correct |
17 |
Correct |
429 ms |
18248 KB |
Output is correct |
18 |
Correct |
202 ms |
20112 KB |
Output is correct |
19 |
Correct |
290 ms |
17232 KB |
Output is correct |
20 |
Correct |
271 ms |
18820 KB |
Output is correct |
21 |
Correct |
331 ms |
22172 KB |
Output is correct |
22 |
Correct |
359 ms |
22304 KB |
Output is correct |
23 |
Correct |
413 ms |
21492 KB |
Output is correct |
24 |
Correct |
464 ms |
21576 KB |
Output is correct |
25 |
Correct |
367 ms |
23112 KB |
Output is correct |
26 |
Correct |
430 ms |
21660 KB |
Output is correct |
27 |
Correct |
450 ms |
21612 KB |
Output is correct |
28 |
Correct |
214 ms |
24136 KB |
Output is correct |
29 |
Correct |
312 ms |
20240 KB |
Output is correct |
30 |
Correct |
336 ms |
22340 KB |
Output is correct |
31 |
Correct |
422 ms |
22088 KB |
Output is correct |
32 |
Correct |
447 ms |
22080 KB |
Output is correct |
33 |
Correct |
336 ms |
21080 KB |
Output is correct |
34 |
Correct |
445 ms |
21320 KB |
Output is correct |
35 |
Correct |
423 ms |
21732 KB |
Output is correct |
36 |
Correct |
193 ms |
20304 KB |
Output is correct |
37 |
Correct |
307 ms |
22120 KB |
Output is correct |
38 |
Correct |
304 ms |
20320 KB |
Output is correct |
39 |
Correct |
396 ms |
21316 KB |
Output is correct |
40 |
Correct |
418 ms |
21320 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4432 KB |
Output is correct |
2 |
Correct |
2 ms |
4432 KB |
Output is correct |
3 |
Correct |
2 ms |
4432 KB |
Output is correct |
4 |
Correct |
2 ms |
4432 KB |
Output is correct |
5 |
Correct |
1 ms |
4432 KB |
Output is correct |
6 |
Correct |
1 ms |
4432 KB |
Output is correct |
7 |
Correct |
2 ms |
4444 KB |
Output is correct |
8 |
Correct |
2 ms |
4432 KB |
Output is correct |
9 |
Correct |
1 ms |
4432 KB |
Output is correct |
10 |
Correct |
1 ms |
4432 KB |
Output is correct |
11 |
Correct |
53 ms |
27208 KB |
Output is correct |
12 |
Correct |
55 ms |
27368 KB |
Output is correct |
13 |
Correct |
74 ms |
27216 KB |
Output is correct |
14 |
Correct |
101 ms |
27208 KB |
Output is correct |
15 |
Correct |
57 ms |
27208 KB |
Output is correct |
16 |
Correct |
88 ms |
27104 KB |
Output is correct |
17 |
Correct |
74 ms |
27104 KB |
Output is correct |
18 |
Correct |
44 ms |
27464 KB |
Output is correct |
19 |
Correct |
53 ms |
27144 KB |
Output is correct |
20 |
Correct |
53 ms |
27292 KB |
Output is correct |
21 |
Correct |
66 ms |
27216 KB |
Output is correct |
22 |
Correct |
79 ms |
27160 KB |
Output is correct |
23 |
Correct |
56 ms |
27208 KB |
Output is correct |
24 |
Correct |
75 ms |
27216 KB |
Output is correct |
25 |
Correct |
74 ms |
27312 KB |
Output is correct |
26 |
Correct |
44 ms |
27160 KB |
Output is correct |
27 |
Correct |
58 ms |
27212 KB |
Output is correct |
28 |
Correct |
51 ms |
27104 KB |
Output is correct |
29 |
Correct |
63 ms |
27220 KB |
Output is correct |
30 |
Correct |
78 ms |
27208 KB |
Output is correct |
31 |
Correct |
57 ms |
27208 KB |
Output is correct |
32 |
Correct |
79 ms |
27208 KB |
Output is correct |
33 |
Correct |
82 ms |
27208 KB |
Output is correct |
34 |
Correct |
47 ms |
27220 KB |
Output is correct |
35 |
Correct |
68 ms |
27224 KB |
Output is correct |
36 |
Correct |
72 ms |
27332 KB |
Output is correct |
37 |
Correct |
71 ms |
27220 KB |
Output is correct |
38 |
Correct |
76 ms |
27208 KB |
Output is correct |
39 |
Correct |
69 ms |
27184 KB |
Output is correct |
40 |
Correct |
69 ms |
27220 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4432 KB |
Output is correct |
2 |
Correct |
2 ms |
4432 KB |
Output is correct |
3 |
Correct |
2 ms |
4432 KB |
Output is correct |
4 |
Correct |
2 ms |
4432 KB |
Output is correct |
5 |
Correct |
1 ms |
4432 KB |
Output is correct |
6 |
Correct |
1 ms |
4432 KB |
Output is correct |
7 |
Correct |
2 ms |
4444 KB |
Output is correct |
8 |
Correct |
2 ms |
4432 KB |
Output is correct |
9 |
Correct |
1 ms |
4432 KB |
Output is correct |
10 |
Correct |
1 ms |
4432 KB |
Output is correct |
11 |
Correct |
282 ms |
19272 KB |
Output is correct |
12 |
Correct |
320 ms |
18760 KB |
Output is correct |
13 |
Correct |
340 ms |
18248 KB |
Output is correct |
14 |
Correct |
360 ms |
18224 KB |
Output is correct |
15 |
Correct |
307 ms |
19272 KB |
Output is correct |
16 |
Correct |
339 ms |
18504 KB |
Output is correct |
17 |
Correct |
429 ms |
18248 KB |
Output is correct |
18 |
Correct |
202 ms |
20112 KB |
Output is correct |
19 |
Correct |
290 ms |
17232 KB |
Output is correct |
20 |
Correct |
271 ms |
18820 KB |
Output is correct |
21 |
Correct |
331 ms |
22172 KB |
Output is correct |
22 |
Correct |
359 ms |
22304 KB |
Output is correct |
23 |
Correct |
413 ms |
21492 KB |
Output is correct |
24 |
Correct |
464 ms |
21576 KB |
Output is correct |
25 |
Correct |
367 ms |
23112 KB |
Output is correct |
26 |
Correct |
430 ms |
21660 KB |
Output is correct |
27 |
Correct |
450 ms |
21612 KB |
Output is correct |
28 |
Correct |
214 ms |
24136 KB |
Output is correct |
29 |
Correct |
312 ms |
20240 KB |
Output is correct |
30 |
Correct |
336 ms |
22340 KB |
Output is correct |
31 |
Correct |
422 ms |
22088 KB |
Output is correct |
32 |
Correct |
447 ms |
22080 KB |
Output is correct |
33 |
Correct |
336 ms |
21080 KB |
Output is correct |
34 |
Correct |
445 ms |
21320 KB |
Output is correct |
35 |
Correct |
423 ms |
21732 KB |
Output is correct |
36 |
Correct |
193 ms |
20304 KB |
Output is correct |
37 |
Correct |
307 ms |
22120 KB |
Output is correct |
38 |
Correct |
304 ms |
20320 KB |
Output is correct |
39 |
Correct |
396 ms |
21316 KB |
Output is correct |
40 |
Correct |
418 ms |
21320 KB |
Output is correct |
41 |
Correct |
53 ms |
27208 KB |
Output is correct |
42 |
Correct |
55 ms |
27368 KB |
Output is correct |
43 |
Correct |
74 ms |
27216 KB |
Output is correct |
44 |
Correct |
101 ms |
27208 KB |
Output is correct |
45 |
Correct |
57 ms |
27208 KB |
Output is correct |
46 |
Correct |
88 ms |
27104 KB |
Output is correct |
47 |
Correct |
74 ms |
27104 KB |
Output is correct |
48 |
Correct |
44 ms |
27464 KB |
Output is correct |
49 |
Correct |
53 ms |
27144 KB |
Output is correct |
50 |
Correct |
53 ms |
27292 KB |
Output is correct |
51 |
Correct |
66 ms |
27216 KB |
Output is correct |
52 |
Correct |
79 ms |
27160 KB |
Output is correct |
53 |
Correct |
56 ms |
27208 KB |
Output is correct |
54 |
Correct |
75 ms |
27216 KB |
Output is correct |
55 |
Correct |
74 ms |
27312 KB |
Output is correct |
56 |
Correct |
44 ms |
27160 KB |
Output is correct |
57 |
Correct |
58 ms |
27212 KB |
Output is correct |
58 |
Correct |
51 ms |
27104 KB |
Output is correct |
59 |
Correct |
63 ms |
27220 KB |
Output is correct |
60 |
Correct |
78 ms |
27208 KB |
Output is correct |
61 |
Correct |
57 ms |
27208 KB |
Output is correct |
62 |
Correct |
79 ms |
27208 KB |
Output is correct |
63 |
Correct |
82 ms |
27208 KB |
Output is correct |
64 |
Correct |
47 ms |
27220 KB |
Output is correct |
65 |
Correct |
68 ms |
27224 KB |
Output is correct |
66 |
Correct |
72 ms |
27332 KB |
Output is correct |
67 |
Correct |
71 ms |
27220 KB |
Output is correct |
68 |
Correct |
76 ms |
27208 KB |
Output is correct |
69 |
Correct |
69 ms |
27184 KB |
Output is correct |
70 |
Correct |
69 ms |
27220 KB |
Output is correct |
71 |
Correct |
494 ms |
51392 KB |
Output is correct |
72 |
Correct |
474 ms |
51528 KB |
Output is correct |
73 |
Correct |
659 ms |
50248 KB |
Output is correct |
74 |
Correct |
892 ms |
50460 KB |
Output is correct |
75 |
Correct |
498 ms |
52616 KB |
Output is correct |
76 |
Correct |
1081 ms |
50864 KB |
Output is correct |
77 |
Correct |
961 ms |
51044 KB |
Output is correct |
78 |
Correct |
314 ms |
54444 KB |
Output is correct |
79 |
Correct |
489 ms |
48492 KB |
Output is correct |
80 |
Correct |
564 ms |
51840 KB |
Output is correct |
81 |
Correct |
753 ms |
51404 KB |
Output is correct |
82 |
Correct |
971 ms |
50436 KB |
Output is correct |
83 |
Correct |
554 ms |
49696 KB |
Output is correct |
84 |
Correct |
912 ms |
50540 KB |
Output is correct |
85 |
Correct |
842 ms |
50616 KB |
Output is correct |
86 |
Correct |
269 ms |
48456 KB |
Output is correct |
87 |
Correct |
471 ms |
51528 KB |
Output is correct |
88 |
Correct |
577 ms |
48492 KB |
Output is correct |
89 |
Correct |
681 ms |
50176 KB |
Output is correct |
90 |
Correct |
872 ms |
50384 KB |
Output is correct |
91 |
Correct |
574 ms |
49780 KB |
Output is correct |
92 |
Correct |
1065 ms |
50760 KB |
Output is correct |
93 |
Correct |
966 ms |
50752 KB |
Output is correct |
94 |
Correct |
393 ms |
48528 KB |
Output is correct |
95 |
Correct |
830 ms |
50504 KB |
Output is correct |
96 |
Correct |
739 ms |
50504 KB |
Output is correct |
97 |
Correct |
702 ms |
50612 KB |
Output is correct |
98 |
Correct |
829 ms |
50608 KB |
Output is correct |
99 |
Correct |
795 ms |
50496 KB |
Output is correct |
100 |
Correct |
755 ms |
50504 KB |
Output is correct |