#include <bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
template<class T> using oset =
tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define ll long long
#define ld long double
#define ar array
#define vi vector<int>
#define vii vector<vector<int>>
#define pii pair<int, int>
#define pb push_back
#define all(x) x.begin(), x.end()
#define f first
#define s second
#define endl "\n"
const int MOD = 1e9+7;
const int inf = 1e9;
const ll linf = 1e18;
const int d4i[4]={-1, 0, 1, 0}, d4j[4]={0, 1, 0, -1};
const int d8i[8]={-1, -1, 0, 1, 1, 1, 0, -1}, d8j[8]={0, 1, 1, 1, 0, -1, -1, -1};
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
// -------------------------------------------------- Main Code --------------------------------------------------
const int N = (1<<20)+5;
int n, q, arr[N], dp[N], dp2[N];
void sol() {
cin >> n >> q;
for (int i = 0; i < (1<<n); i++) {char x; cin >> x; arr[i] = x-'0';}
for (int i = 0; i < (1<<n); i++) dp[i] = arr[i], dp2[i] = arr[i];
for (int i = 0; i < n; i++) {
for (int mask = 0; mask < (1<<n); mask++) {
if (mask&(1<<i)) dp[mask] += dp[mask^(1<<i)];
if ((mask&(1<<i)) == 0) dp2[mask] += dp2[mask^(1<<i)];
}
}
while (q--) {
string s; cin >> s;
int one = 0, zero = 0, question = 0;
for (int i = 0; i < n; i++) {
one += s[i]=='1';
zero += s[i]=='0';
question += s[i]=='?';
}
if (question <= 6) {
vi temp;
int num = 0;
reverse(all(s));
for (int i = 0; i < n; i++) {
if (s[i] == '?') temp.pb(i);
if (s[i] == '1') num += (1<<i);
}
int ans = 0;
for (int i = 0; i < (1<<temp.size()); i++) {
int tempNum = num;
for (int j = 0; j < temp.size(); j++) {
if (i&(1<<j)) {
tempNum ^= (1<<temp[j]);
}
}
ans += arr[tempNum];
}
cout << ans << endl;
}
else if (one <= 6) {
vi temp;
int num = 0;
reverse(all(s));
for (int i = 0; i < n; i++) {
if (s[i] == '1') temp.pb(i);
if (s[i] == '1' || s[i] == '?') num += (1<<i);
}
int ans = 0;
for (int i = 0; i < (1<<temp.size()); i++) {
int tempNum = num, ct = 0;
for (int j = 0; j < temp.size(); j++) {
if (i&(1<<j)) {
tempNum ^= (1<<temp[j]);
ct++;
}
}
if (ct%2 != 0) ans -= dp[tempNum];
else ans += dp[tempNum];
}
cout << ans << endl;
}
else {
vi temp;
int num = 0;
reverse(all(s));
for (int i = 0; i < n; i++) {
if (s[i] == '0') temp.pb(i);
if (s[i] == '1') num += (1<<i);
}
int ans = 0;
for (int i = 0; i < (1<<temp.size()); i++) {
int tempNum = num, ct = 0;
for (int j = 0; j < temp.size(); j++) {
if (!(i&(1<<j))) {
tempNum ^= (1<<temp[j]);
ct++;
}
}
if (ct%2 != 0) ans -= dp2[tempNum];
else ans += dp2[tempNum];
}
cout << ans << endl;
}
}
}
int main () {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int t = 1;
// cin >> t;
while (t--) {
sol();
}
return 0;
}
Compilation message
snake_escaping.cpp: In function 'void sol()':
snake_escaping.cpp:72:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
72 | for (int j = 0; j < temp.size(); j++) {
| ~~^~~~~~~~~~~~~
snake_escaping.cpp:93:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
93 | for (int j = 0; j < temp.size(); j++) {
| ~~^~~~~~~~~~~~~
snake_escaping.cpp:117:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
117 | for (int j = 0; j < temp.size(); j++) {
| ~~^~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4444 KB |
Output is correct |
2 |
Correct |
2 ms |
4572 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4440 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4444 KB |
Output is correct |
2 |
Correct |
2 ms |
4572 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4440 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
526 ms |
17296 KB |
Output is correct |
12 |
Correct |
488 ms |
16820 KB |
Output is correct |
13 |
Correct |
321 ms |
16180 KB |
Output is correct |
14 |
Correct |
325 ms |
16380 KB |
Output is correct |
15 |
Correct |
930 ms |
17252 KB |
Output is correct |
16 |
Correct |
425 ms |
16500 KB |
Output is correct |
17 |
Correct |
419 ms |
16308 KB |
Output is correct |
18 |
Correct |
178 ms |
18072 KB |
Output is correct |
19 |
Correct |
222 ms |
15108 KB |
Output is correct |
20 |
Correct |
516 ms |
16760 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4444 KB |
Output is correct |
2 |
Correct |
2 ms |
4572 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4440 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
526 ms |
17296 KB |
Output is correct |
12 |
Correct |
488 ms |
16820 KB |
Output is correct |
13 |
Correct |
321 ms |
16180 KB |
Output is correct |
14 |
Correct |
325 ms |
16380 KB |
Output is correct |
15 |
Correct |
930 ms |
17252 KB |
Output is correct |
16 |
Correct |
425 ms |
16500 KB |
Output is correct |
17 |
Correct |
419 ms |
16308 KB |
Output is correct |
18 |
Correct |
178 ms |
18072 KB |
Output is correct |
19 |
Correct |
222 ms |
15108 KB |
Output is correct |
20 |
Correct |
516 ms |
16760 KB |
Output is correct |
21 |
Correct |
914 ms |
19856 KB |
Output is correct |
22 |
Correct |
485 ms |
19944 KB |
Output is correct |
23 |
Correct |
446 ms |
19132 KB |
Output is correct |
24 |
Correct |
422 ms |
18732 KB |
Output is correct |
25 |
Correct |
358 ms |
20772 KB |
Output is correct |
26 |
Correct |
578 ms |
18988 KB |
Output is correct |
27 |
Correct |
545 ms |
18928 KB |
Output is correct |
28 |
Correct |
180 ms |
21648 KB |
Output is correct |
29 |
Correct |
237 ms |
17580 KB |
Output is correct |
30 |
Correct |
692 ms |
19680 KB |
Output is correct |
31 |
Correct |
956 ms |
19224 KB |
Output is correct |
32 |
Correct |
596 ms |
19248 KB |
Output is correct |
33 |
Correct |
347 ms |
18212 KB |
Output is correct |
34 |
Correct |
433 ms |
18428 KB |
Output is correct |
35 |
Correct |
534 ms |
18884 KB |
Output is correct |
36 |
Correct |
213 ms |
17544 KB |
Output is correct |
37 |
Correct |
933 ms |
19424 KB |
Output is correct |
38 |
Correct |
242 ms |
17452 KB |
Output is correct |
39 |
Correct |
446 ms |
18632 KB |
Output is correct |
40 |
Correct |
441 ms |
18384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4444 KB |
Output is correct |
2 |
Correct |
2 ms |
4572 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4440 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
45 ms |
14936 KB |
Output is correct |
12 |
Correct |
53 ms |
14656 KB |
Output is correct |
13 |
Correct |
67 ms |
14504 KB |
Output is correct |
14 |
Correct |
85 ms |
14824 KB |
Output is correct |
15 |
Correct |
55 ms |
14768 KB |
Output is correct |
16 |
Correct |
77 ms |
14552 KB |
Output is correct |
17 |
Correct |
84 ms |
14752 KB |
Output is correct |
18 |
Correct |
39 ms |
14860 KB |
Output is correct |
19 |
Correct |
47 ms |
14528 KB |
Output is correct |
20 |
Correct |
48 ms |
14928 KB |
Output is correct |
21 |
Correct |
64 ms |
14652 KB |
Output is correct |
22 |
Correct |
84 ms |
14944 KB |
Output is correct |
23 |
Correct |
54 ms |
14676 KB |
Output is correct |
24 |
Correct |
82 ms |
14536 KB |
Output is correct |
25 |
Correct |
72 ms |
14652 KB |
Output is correct |
26 |
Correct |
46 ms |
14532 KB |
Output is correct |
27 |
Correct |
48 ms |
14792 KB |
Output is correct |
28 |
Correct |
45 ms |
14588 KB |
Output is correct |
29 |
Correct |
64 ms |
14476 KB |
Output is correct |
30 |
Correct |
88 ms |
14824 KB |
Output is correct |
31 |
Correct |
53 ms |
14672 KB |
Output is correct |
32 |
Correct |
77 ms |
14588 KB |
Output is correct |
33 |
Correct |
93 ms |
14676 KB |
Output is correct |
34 |
Correct |
39 ms |
14624 KB |
Output is correct |
35 |
Correct |
75 ms |
14676 KB |
Output is correct |
36 |
Correct |
79 ms |
15188 KB |
Output is correct |
37 |
Correct |
64 ms |
14676 KB |
Output is correct |
38 |
Correct |
92 ms |
14528 KB |
Output is correct |
39 |
Correct |
73 ms |
14956 KB |
Output is correct |
40 |
Correct |
65 ms |
14676 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4444 KB |
Output is correct |
2 |
Correct |
2 ms |
4572 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4440 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
526 ms |
17296 KB |
Output is correct |
12 |
Correct |
488 ms |
16820 KB |
Output is correct |
13 |
Correct |
321 ms |
16180 KB |
Output is correct |
14 |
Correct |
325 ms |
16380 KB |
Output is correct |
15 |
Correct |
930 ms |
17252 KB |
Output is correct |
16 |
Correct |
425 ms |
16500 KB |
Output is correct |
17 |
Correct |
419 ms |
16308 KB |
Output is correct |
18 |
Correct |
178 ms |
18072 KB |
Output is correct |
19 |
Correct |
222 ms |
15108 KB |
Output is correct |
20 |
Correct |
516 ms |
16760 KB |
Output is correct |
21 |
Correct |
914 ms |
19856 KB |
Output is correct |
22 |
Correct |
485 ms |
19944 KB |
Output is correct |
23 |
Correct |
446 ms |
19132 KB |
Output is correct |
24 |
Correct |
422 ms |
18732 KB |
Output is correct |
25 |
Correct |
358 ms |
20772 KB |
Output is correct |
26 |
Correct |
578 ms |
18988 KB |
Output is correct |
27 |
Correct |
545 ms |
18928 KB |
Output is correct |
28 |
Correct |
180 ms |
21648 KB |
Output is correct |
29 |
Correct |
237 ms |
17580 KB |
Output is correct |
30 |
Correct |
692 ms |
19680 KB |
Output is correct |
31 |
Correct |
956 ms |
19224 KB |
Output is correct |
32 |
Correct |
596 ms |
19248 KB |
Output is correct |
33 |
Correct |
347 ms |
18212 KB |
Output is correct |
34 |
Correct |
433 ms |
18428 KB |
Output is correct |
35 |
Correct |
534 ms |
18884 KB |
Output is correct |
36 |
Correct |
213 ms |
17544 KB |
Output is correct |
37 |
Correct |
933 ms |
19424 KB |
Output is correct |
38 |
Correct |
242 ms |
17452 KB |
Output is correct |
39 |
Correct |
446 ms |
18632 KB |
Output is correct |
40 |
Correct |
441 ms |
18384 KB |
Output is correct |
41 |
Correct |
45 ms |
14936 KB |
Output is correct |
42 |
Correct |
53 ms |
14656 KB |
Output is correct |
43 |
Correct |
67 ms |
14504 KB |
Output is correct |
44 |
Correct |
85 ms |
14824 KB |
Output is correct |
45 |
Correct |
55 ms |
14768 KB |
Output is correct |
46 |
Correct |
77 ms |
14552 KB |
Output is correct |
47 |
Correct |
84 ms |
14752 KB |
Output is correct |
48 |
Correct |
39 ms |
14860 KB |
Output is correct |
49 |
Correct |
47 ms |
14528 KB |
Output is correct |
50 |
Correct |
48 ms |
14928 KB |
Output is correct |
51 |
Correct |
64 ms |
14652 KB |
Output is correct |
52 |
Correct |
84 ms |
14944 KB |
Output is correct |
53 |
Correct |
54 ms |
14676 KB |
Output is correct |
54 |
Correct |
82 ms |
14536 KB |
Output is correct |
55 |
Correct |
72 ms |
14652 KB |
Output is correct |
56 |
Correct |
46 ms |
14532 KB |
Output is correct |
57 |
Correct |
48 ms |
14792 KB |
Output is correct |
58 |
Correct |
45 ms |
14588 KB |
Output is correct |
59 |
Correct |
64 ms |
14476 KB |
Output is correct |
60 |
Correct |
88 ms |
14824 KB |
Output is correct |
61 |
Correct |
53 ms |
14672 KB |
Output is correct |
62 |
Correct |
77 ms |
14588 KB |
Output is correct |
63 |
Correct |
93 ms |
14676 KB |
Output is correct |
64 |
Correct |
39 ms |
14624 KB |
Output is correct |
65 |
Correct |
75 ms |
14676 KB |
Output is correct |
66 |
Correct |
79 ms |
15188 KB |
Output is correct |
67 |
Correct |
64 ms |
14676 KB |
Output is correct |
68 |
Correct |
92 ms |
14528 KB |
Output is correct |
69 |
Correct |
73 ms |
14956 KB |
Output is correct |
70 |
Correct |
65 ms |
14676 KB |
Output is correct |
71 |
Correct |
388 ms |
34352 KB |
Output is correct |
72 |
Correct |
420 ms |
34636 KB |
Output is correct |
73 |
Correct |
718 ms |
32992 KB |
Output is correct |
74 |
Correct |
1131 ms |
33200 KB |
Output is correct |
75 |
Correct |
568 ms |
35584 KB |
Output is correct |
76 |
Correct |
1188 ms |
33692 KB |
Output is correct |
77 |
Correct |
1002 ms |
33412 KB |
Output is correct |
78 |
Correct |
291 ms |
37592 KB |
Output is correct |
79 |
Correct |
383 ms |
31172 KB |
Output is correct |
80 |
Correct |
501 ms |
34472 KB |
Output is correct |
81 |
Correct |
755 ms |
34304 KB |
Output is correct |
82 |
Correct |
1101 ms |
27848 KB |
Output is correct |
83 |
Correct |
558 ms |
26780 KB |
Output is correct |
84 |
Correct |
1137 ms |
27720 KB |
Output is correct |
85 |
Correct |
926 ms |
27884 KB |
Output is correct |
86 |
Correct |
259 ms |
25656 KB |
Output is correct |
87 |
Correct |
366 ms |
28688 KB |
Output is correct |
88 |
Correct |
418 ms |
25524 KB |
Output is correct |
89 |
Correct |
720 ms |
27592 KB |
Output is correct |
90 |
Correct |
1142 ms |
31148 KB |
Output is correct |
91 |
Correct |
545 ms |
37916 KB |
Output is correct |
92 |
Correct |
1074 ms |
38796 KB |
Output is correct |
93 |
Correct |
1008 ms |
38448 KB |
Output is correct |
94 |
Correct |
275 ms |
36100 KB |
Output is correct |
95 |
Correct |
798 ms |
38364 KB |
Output is correct |
96 |
Correct |
799 ms |
38248 KB |
Output is correct |
97 |
Correct |
757 ms |
38300 KB |
Output is correct |
98 |
Correct |
758 ms |
38436 KB |
Output is correct |
99 |
Correct |
795 ms |
38228 KB |
Output is correct |
100 |
Correct |
749 ms |
38228 KB |
Output is correct |