#include <iostream>
#include <iomanip>
#include <cstdio>
#include <vector>
#include <bitset>
#include <string>
#include <cstring>
#include <map>
#include <set>
#include <stack>
#include <queue>
#include <deque>
#include <utility>
#include <algorithm>
#include <random>
#include <cmath>
#include <cassert>
#include <climits>
#include <ctime>
#include <chrono>
/*#pragma GCC optimize("Ofast")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,sse4.1,sse4.2,popcnt,abm,mmx,avx,avx2,tune=native")
*/
#ifdef LOCAL
#define dbg(x) cout << #x << " : " << x << endl;
#else
#define dbg(x)
#endif
#define pb push_back
#define ppb pop_back()
#define mp make_pair
#define fi(a, b) for (int i = a; i < b; i++)
#define fj(a, b) for (int j = a; j < b; j++)
#define fk(a, b) for (int k = a; k < b; k++)
#define fi1(a, b) for (int i = a - 1; i >= b; i--)
#define fj1(a, b) for (int j = a - 1; j >= b; j--)
#define fk1(a, b) for (int k = a - 1; k >= b; k--)
#define fx(x, a) for (auto& x : a)
#define rep(i, a, b) for (int i = a; i < b; ++i)
#define rep1(i, a, b) for (int i = a - 1; i >= b; --i)
#define siz(x) (int)x.size()
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
using namespace std;
template<typename T1, typename T2>inline void mine(T1 &x, const T2 &y) { if (y < x) x = y; }
template<typename T1, typename T2>inline void maxe(T1 &x, const T2 &y) { if (x < y) x = y; }
ostream& operator << (ostream &out, const vector<int> &b) {
for (auto k : b) out << k << ' ';
return out;
}
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef char ch;
typedef string str;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<pii> vpii;
typedef vector<vpii> vvpii;
typedef vector<ch> vch;
typedef vector<vch> vvch;
typedef vector<str> vs;
const int MOD = 1000000007;
const int INF = 1000000050;
const long long BIG = (long long)2e18 + 50;
const int MX = 1 << 20;
const int PW = 20;
const double EPS = 1e-9;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int n, q;
int a[MX];
int sos1[MX];
int sos0[MX];
void calc() {
for (unsigned mask = 0; mask < (1 << n); ++mask) {
sos1[mask] = a[mask];
sos0[mask] = a[mask];
}
for (unsigned i = 0; i < n; ++i) {
for (unsigned mask = 0; mask < (1 << n); ++mask) {
if ((mask >> i) & 1) {
sos1[mask] += sos1[mask ^ (1 << i)];
} else {
sos0[mask] += sos0[mask ^ (1 << i)];
}
}
}
}
int ans;
str s;
void solveq(unsigned i = 0, unsigned mask = 0) {
if (i == n) {
ans += a[mask];
return;
}
mask <<= 1;
if (s[i] == '?') {
solveq(i + 1, mask);
solveq(i + 1, mask ^ 1);
} else {
solveq(i + 1, mask ^ (s[i] == '1'));
}
}
void solve1(unsigned i = 0, unsigned mask = 0, int del = 0) {
if (i == n) {
if (del)
ans -= sos1[mask];
else
ans += sos1[mask];
return;
}
mask <<= 1;
if (s[i] == '1') {
solve1(i + 1, mask ^ 1, del);
solve1(i + 1, mask, del ^ 1);
} else {
solve1(i + 1, mask ^ (s[i] == '?'), del);
}
}
void solve0(unsigned i = 0, unsigned mask = 0, int del = 0) {
if (i == n) {
if (del)
ans -= sos0[mask];
else
ans += sos0[mask];
return;
}
mask <<= 1;
if (s[i] == '0') {
solve0(i + 1, mask ^ 1, del ^ 1);
solve0(i + 1, mask, del);
} else {
solve0(i + 1, mask ^ (s[i] != '?'), del);
}
}
int32_t main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> n >> q;
for (unsigned i = 0; i < (1 << n); ++i) {
char c;
cin >> c;
a[i] = c - '0';
}
calc();
while (q--) {
cin >> s;
int pq = 0, p1 = 0, p0 = 0;
fx(c, s) {
pq += c == '?';
p1 += c == '1';
p0 += c == '0';
}
ans = 0;
if (pq <= n / 3) {
solveq();
} else if (p1 <= n / 3) {
solve1();
} else {
solve0();
}
cout << ans << '\n';
}
}
Compilation message
snake_escaping.cpp: In function 'void calc()':
snake_escaping.cpp:98:34: warning: comparison of integer expressions of different signedness: 'unsigned int' and 'int' [-Wsign-compare]
98 | for (unsigned mask = 0; mask < (1 << n); ++mask) {
| ~~~~~^~~~~~~~~~
snake_escaping.cpp:102:28: warning: comparison of integer expressions of different signedness: 'unsigned int' and 'int' [-Wsign-compare]
102 | for (unsigned i = 0; i < n; ++i) {
| ~~^~~
snake_escaping.cpp:103:38: warning: comparison of integer expressions of different signedness: 'unsigned int' and 'int' [-Wsign-compare]
103 | for (unsigned mask = 0; mask < (1 << n); ++mask) {
| ~~~~~^~~~~~~~~~
snake_escaping.cpp: In function 'void solveq(unsigned int, unsigned int)':
snake_escaping.cpp:119:11: warning: comparison of integer expressions of different signedness: 'unsigned int' and 'int' [-Wsign-compare]
119 | if (i == n) {
| ~~^~~~
snake_escaping.cpp: In function 'void solve1(unsigned int, unsigned int, int)':
snake_escaping.cpp:133:11: warning: comparison of integer expressions of different signedness: 'unsigned int' and 'int' [-Wsign-compare]
133 | if (i == n) {
| ~~^~~~
snake_escaping.cpp: In function 'void solve0(unsigned int, unsigned int, int)':
snake_escaping.cpp:150:11: warning: comparison of integer expressions of different signedness: 'unsigned int' and 'int' [-Wsign-compare]
150 | if (i == n) {
| ~~^~~~
snake_escaping.cpp: In function 'int32_t main()':
snake_escaping.cpp:172:28: warning: comparison of integer expressions of different signedness: 'unsigned int' and 'int' [-Wsign-compare]
172 | for (unsigned i = 0; i < (1 << n); ++i) {
| ~~^~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
208 ms |
4460 KB |
Output is correct |
12 |
Correct |
229 ms |
4076 KB |
Output is correct |
13 |
Correct |
267 ms |
3436 KB |
Output is correct |
14 |
Correct |
296 ms |
3436 KB |
Output is correct |
15 |
Correct |
266 ms |
4460 KB |
Output is correct |
16 |
Correct |
305 ms |
3564 KB |
Output is correct |
17 |
Correct |
292 ms |
3936 KB |
Output is correct |
18 |
Correct |
210 ms |
5356 KB |
Output is correct |
19 |
Correct |
199 ms |
2412 KB |
Output is correct |
20 |
Correct |
260 ms |
4204 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
208 ms |
4460 KB |
Output is correct |
12 |
Correct |
229 ms |
4076 KB |
Output is correct |
13 |
Correct |
267 ms |
3436 KB |
Output is correct |
14 |
Correct |
296 ms |
3436 KB |
Output is correct |
15 |
Correct |
266 ms |
4460 KB |
Output is correct |
16 |
Correct |
305 ms |
3564 KB |
Output is correct |
17 |
Correct |
292 ms |
3936 KB |
Output is correct |
18 |
Correct |
210 ms |
5356 KB |
Output is correct |
19 |
Correct |
199 ms |
2412 KB |
Output is correct |
20 |
Correct |
260 ms |
4204 KB |
Output is correct |
21 |
Correct |
236 ms |
4460 KB |
Output is correct |
22 |
Correct |
263 ms |
4628 KB |
Output is correct |
23 |
Correct |
367 ms |
3692 KB |
Output is correct |
24 |
Correct |
478 ms |
3436 KB |
Output is correct |
25 |
Correct |
339 ms |
5484 KB |
Output is correct |
26 |
Correct |
445 ms |
3948 KB |
Output is correct |
27 |
Correct |
412 ms |
4076 KB |
Output is correct |
28 |
Correct |
230 ms |
6508 KB |
Output is correct |
29 |
Correct |
215 ms |
2540 KB |
Output is correct |
30 |
Correct |
304 ms |
4588 KB |
Output is correct |
31 |
Correct |
373 ms |
4460 KB |
Output is correct |
32 |
Correct |
504 ms |
4496 KB |
Output is correct |
33 |
Correct |
334 ms |
3436 KB |
Output is correct |
34 |
Correct |
479 ms |
3436 KB |
Output is correct |
35 |
Correct |
415 ms |
4076 KB |
Output is correct |
36 |
Correct |
209 ms |
2516 KB |
Output is correct |
37 |
Correct |
222 ms |
4608 KB |
Output is correct |
38 |
Correct |
212 ms |
2540 KB |
Output is correct |
39 |
Correct |
364 ms |
3692 KB |
Output is correct |
40 |
Correct |
478 ms |
3576 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
59 ms |
13036 KB |
Output is correct |
12 |
Correct |
62 ms |
12908 KB |
Output is correct |
13 |
Correct |
95 ms |
12780 KB |
Output is correct |
14 |
Correct |
171 ms |
12908 KB |
Output is correct |
15 |
Correct |
76 ms |
12908 KB |
Output is correct |
16 |
Correct |
163 ms |
12908 KB |
Output is correct |
17 |
Correct |
144 ms |
12908 KB |
Output is correct |
18 |
Correct |
55 ms |
13164 KB |
Output is correct |
19 |
Correct |
58 ms |
12780 KB |
Output is correct |
20 |
Correct |
67 ms |
12908 KB |
Output is correct |
21 |
Correct |
100 ms |
12908 KB |
Output is correct |
22 |
Correct |
153 ms |
12908 KB |
Output is correct |
23 |
Correct |
77 ms |
12908 KB |
Output is correct |
24 |
Correct |
143 ms |
12908 KB |
Output is correct |
25 |
Correct |
139 ms |
12908 KB |
Output is correct |
26 |
Correct |
55 ms |
12780 KB |
Output is correct |
27 |
Correct |
61 ms |
12908 KB |
Output is correct |
28 |
Correct |
58 ms |
12780 KB |
Output is correct |
29 |
Correct |
94 ms |
12780 KB |
Output is correct |
30 |
Correct |
136 ms |
12908 KB |
Output is correct |
31 |
Correct |
76 ms |
12780 KB |
Output is correct |
32 |
Correct |
168 ms |
12908 KB |
Output is correct |
33 |
Correct |
139 ms |
12908 KB |
Output is correct |
34 |
Correct |
55 ms |
12780 KB |
Output is correct |
35 |
Correct |
114 ms |
12908 KB |
Output is correct |
36 |
Correct |
110 ms |
12908 KB |
Output is correct |
37 |
Correct |
111 ms |
12908 KB |
Output is correct |
38 |
Correct |
113 ms |
12908 KB |
Output is correct |
39 |
Correct |
114 ms |
12908 KB |
Output is correct |
40 |
Correct |
117 ms |
12908 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
208 ms |
4460 KB |
Output is correct |
12 |
Correct |
229 ms |
4076 KB |
Output is correct |
13 |
Correct |
267 ms |
3436 KB |
Output is correct |
14 |
Correct |
296 ms |
3436 KB |
Output is correct |
15 |
Correct |
266 ms |
4460 KB |
Output is correct |
16 |
Correct |
305 ms |
3564 KB |
Output is correct |
17 |
Correct |
292 ms |
3936 KB |
Output is correct |
18 |
Correct |
210 ms |
5356 KB |
Output is correct |
19 |
Correct |
199 ms |
2412 KB |
Output is correct |
20 |
Correct |
260 ms |
4204 KB |
Output is correct |
21 |
Correct |
236 ms |
4460 KB |
Output is correct |
22 |
Correct |
263 ms |
4628 KB |
Output is correct |
23 |
Correct |
367 ms |
3692 KB |
Output is correct |
24 |
Correct |
478 ms |
3436 KB |
Output is correct |
25 |
Correct |
339 ms |
5484 KB |
Output is correct |
26 |
Correct |
445 ms |
3948 KB |
Output is correct |
27 |
Correct |
412 ms |
4076 KB |
Output is correct |
28 |
Correct |
230 ms |
6508 KB |
Output is correct |
29 |
Correct |
215 ms |
2540 KB |
Output is correct |
30 |
Correct |
304 ms |
4588 KB |
Output is correct |
31 |
Correct |
373 ms |
4460 KB |
Output is correct |
32 |
Correct |
504 ms |
4496 KB |
Output is correct |
33 |
Correct |
334 ms |
3436 KB |
Output is correct |
34 |
Correct |
479 ms |
3436 KB |
Output is correct |
35 |
Correct |
415 ms |
4076 KB |
Output is correct |
36 |
Correct |
209 ms |
2516 KB |
Output is correct |
37 |
Correct |
222 ms |
4608 KB |
Output is correct |
38 |
Correct |
212 ms |
2540 KB |
Output is correct |
39 |
Correct |
364 ms |
3692 KB |
Output is correct |
40 |
Correct |
478 ms |
3576 KB |
Output is correct |
41 |
Correct |
59 ms |
13036 KB |
Output is correct |
42 |
Correct |
62 ms |
12908 KB |
Output is correct |
43 |
Correct |
95 ms |
12780 KB |
Output is correct |
44 |
Correct |
171 ms |
12908 KB |
Output is correct |
45 |
Correct |
76 ms |
12908 KB |
Output is correct |
46 |
Correct |
163 ms |
12908 KB |
Output is correct |
47 |
Correct |
144 ms |
12908 KB |
Output is correct |
48 |
Correct |
55 ms |
13164 KB |
Output is correct |
49 |
Correct |
58 ms |
12780 KB |
Output is correct |
50 |
Correct |
67 ms |
12908 KB |
Output is correct |
51 |
Correct |
100 ms |
12908 KB |
Output is correct |
52 |
Correct |
153 ms |
12908 KB |
Output is correct |
53 |
Correct |
77 ms |
12908 KB |
Output is correct |
54 |
Correct |
143 ms |
12908 KB |
Output is correct |
55 |
Correct |
139 ms |
12908 KB |
Output is correct |
56 |
Correct |
55 ms |
12780 KB |
Output is correct |
57 |
Correct |
61 ms |
12908 KB |
Output is correct |
58 |
Correct |
58 ms |
12780 KB |
Output is correct |
59 |
Correct |
94 ms |
12780 KB |
Output is correct |
60 |
Correct |
136 ms |
12908 KB |
Output is correct |
61 |
Correct |
76 ms |
12780 KB |
Output is correct |
62 |
Correct |
168 ms |
12908 KB |
Output is correct |
63 |
Correct |
139 ms |
12908 KB |
Output is correct |
64 |
Correct |
55 ms |
12780 KB |
Output is correct |
65 |
Correct |
114 ms |
12908 KB |
Output is correct |
66 |
Correct |
110 ms |
12908 KB |
Output is correct |
67 |
Correct |
111 ms |
12908 KB |
Output is correct |
68 |
Correct |
113 ms |
12908 KB |
Output is correct |
69 |
Correct |
114 ms |
12908 KB |
Output is correct |
70 |
Correct |
117 ms |
12908 KB |
Output is correct |
71 |
Correct |
358 ms |
17644 KB |
Output is correct |
72 |
Correct |
430 ms |
17900 KB |
Output is correct |
73 |
Correct |
1073 ms |
16492 KB |
Output is correct |
74 |
Execution timed out |
2085 ms |
16328 KB |
Time limit exceeded |
75 |
Halted |
0 ms |
0 KB |
- |