#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,abm,mmx,avx,avx2,tune=native")
#ifdef LOCAL
#define dbg(x) cout << #x << " : " << x << endl;
#else
#define dbg(x)
#endif
#define bits __builtin_popcount
#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 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 (int mask = 0; mask < (1 << n); ++mask) {
sos1[mask] = a[mask];
sos0[mask] = a[mask];
}
for (int i = 0; i < n; ++i) {
for (int mask = 0; mask < (1 << n); ++mask) {
if ((mask >> i) & 1) {
sos1[mask] += sos1[mask ^ (1 << i)];
} else {
sos0[mask] += sos0[mask ^ (1 << i)];
}
}
}
}
int32_t main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> n >> q;
for (int i = 0; i < (1 << n); ++i) {
char c;
cin >> c;
a[i] = c - '0';
}
calc();
while (q--) {
int mq = 0, m0 = 0, m1 = 0;
fi(0, n) {
char c;
cin >> c;
mq = (mq << 1) | (c == '?');
m0 = (m0 << 1) | (c == '0');
m1 = (m1 << 1) | (c == '1');
}
int ans = 0;
if (bits(mq) < 7) {
for (int mask = mq;;mask = (mask - 1) & mq) {
ans += a[m1 ^ mask];
if (!mask) break;
}
} else if (bits(m0) < 7) {
for (int mask = m0;;mask = (mask - 1) & m0) {
ans += sos0[m1 ^ mask] * (bits(mask) % 2 ? -1 : 1);
if (!mask) break;
}
} else {
for (int mask = m1;;mask = (mask - 1) & m1) {
ans += sos1[mq ^ mask] * (bits(mask ^ m1) % 2 ? -1 : 1);
if (!mask) break;
}
}
cout << ans << '\n';
}
}
# |
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 |
292 ms |
4460 KB |
Output is correct |
12 |
Correct |
295 ms |
4332 KB |
Output is correct |
13 |
Correct |
272 ms |
3436 KB |
Output is correct |
14 |
Correct |
271 ms |
3436 KB |
Output is correct |
15 |
Correct |
336 ms |
4460 KB |
Output is correct |
16 |
Correct |
280 ms |
3564 KB |
Output is correct |
17 |
Correct |
280 ms |
3564 KB |
Output is correct |
18 |
Correct |
257 ms |
5356 KB |
Output is correct |
19 |
Correct |
250 ms |
2412 KB |
Output is correct |
20 |
Correct |
295 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 |
292 ms |
4460 KB |
Output is correct |
12 |
Correct |
295 ms |
4332 KB |
Output is correct |
13 |
Correct |
272 ms |
3436 KB |
Output is correct |
14 |
Correct |
271 ms |
3436 KB |
Output is correct |
15 |
Correct |
336 ms |
4460 KB |
Output is correct |
16 |
Correct |
280 ms |
3564 KB |
Output is correct |
17 |
Correct |
280 ms |
3564 KB |
Output is correct |
18 |
Correct |
257 ms |
5356 KB |
Output is correct |
19 |
Correct |
250 ms |
2412 KB |
Output is correct |
20 |
Correct |
295 ms |
4204 KB |
Output is correct |
21 |
Correct |
314 ms |
4568 KB |
Output is correct |
22 |
Correct |
373 ms |
4588 KB |
Output is correct |
23 |
Correct |
330 ms |
3692 KB |
Output is correct |
24 |
Correct |
314 ms |
3436 KB |
Output is correct |
25 |
Correct |
320 ms |
5484 KB |
Output is correct |
26 |
Correct |
343 ms |
3948 KB |
Output is correct |
27 |
Correct |
337 ms |
3948 KB |
Output is correct |
28 |
Correct |
310 ms |
6508 KB |
Output is correct |
29 |
Correct |
301 ms |
2540 KB |
Output is correct |
30 |
Correct |
340 ms |
4588 KB |
Output is correct |
31 |
Correct |
388 ms |
4672 KB |
Output is correct |
32 |
Correct |
335 ms |
4460 KB |
Output is correct |
33 |
Correct |
312 ms |
3476 KB |
Output is correct |
34 |
Correct |
316 ms |
3436 KB |
Output is correct |
35 |
Correct |
339 ms |
4076 KB |
Output is correct |
36 |
Correct |
297 ms |
2540 KB |
Output is correct |
37 |
Correct |
381 ms |
4588 KB |
Output is correct |
38 |
Correct |
299 ms |
2668 KB |
Output is correct |
39 |
Correct |
327 ms |
3692 KB |
Output is correct |
40 |
Correct |
321 ms |
3436 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 |
72 ms |
12908 KB |
Output is correct |
12 |
Correct |
73 ms |
13020 KB |
Output is correct |
13 |
Correct |
73 ms |
12780 KB |
Output is correct |
14 |
Correct |
88 ms |
12908 KB |
Output is correct |
15 |
Correct |
71 ms |
12908 KB |
Output is correct |
16 |
Correct |
94 ms |
12908 KB |
Output is correct |
17 |
Correct |
88 ms |
12908 KB |
Output is correct |
18 |
Correct |
67 ms |
13036 KB |
Output is correct |
19 |
Correct |
68 ms |
12780 KB |
Output is correct |
20 |
Correct |
73 ms |
12908 KB |
Output is correct |
21 |
Correct |
78 ms |
12908 KB |
Output is correct |
22 |
Correct |
81 ms |
12908 KB |
Output is correct |
23 |
Correct |
71 ms |
12780 KB |
Output is correct |
24 |
Correct |
78 ms |
12908 KB |
Output is correct |
25 |
Correct |
92 ms |
12908 KB |
Output is correct |
26 |
Correct |
66 ms |
12708 KB |
Output is correct |
27 |
Correct |
71 ms |
12908 KB |
Output is correct |
28 |
Correct |
71 ms |
12780 KB |
Output is correct |
29 |
Correct |
75 ms |
12780 KB |
Output is correct |
30 |
Correct |
83 ms |
12908 KB |
Output is correct |
31 |
Correct |
70 ms |
12780 KB |
Output is correct |
32 |
Correct |
95 ms |
12908 KB |
Output is correct |
33 |
Correct |
91 ms |
12908 KB |
Output is correct |
34 |
Correct |
71 ms |
12908 KB |
Output is correct |
35 |
Correct |
89 ms |
12908 KB |
Output is correct |
36 |
Correct |
83 ms |
12908 KB |
Output is correct |
37 |
Correct |
83 ms |
12908 KB |
Output is correct |
38 |
Correct |
85 ms |
12908 KB |
Output is correct |
39 |
Correct |
84 ms |
12908 KB |
Output is correct |
40 |
Correct |
83 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 |
292 ms |
4460 KB |
Output is correct |
12 |
Correct |
295 ms |
4332 KB |
Output is correct |
13 |
Correct |
272 ms |
3436 KB |
Output is correct |
14 |
Correct |
271 ms |
3436 KB |
Output is correct |
15 |
Correct |
336 ms |
4460 KB |
Output is correct |
16 |
Correct |
280 ms |
3564 KB |
Output is correct |
17 |
Correct |
280 ms |
3564 KB |
Output is correct |
18 |
Correct |
257 ms |
5356 KB |
Output is correct |
19 |
Correct |
250 ms |
2412 KB |
Output is correct |
20 |
Correct |
295 ms |
4204 KB |
Output is correct |
21 |
Correct |
314 ms |
4568 KB |
Output is correct |
22 |
Correct |
373 ms |
4588 KB |
Output is correct |
23 |
Correct |
330 ms |
3692 KB |
Output is correct |
24 |
Correct |
314 ms |
3436 KB |
Output is correct |
25 |
Correct |
320 ms |
5484 KB |
Output is correct |
26 |
Correct |
343 ms |
3948 KB |
Output is correct |
27 |
Correct |
337 ms |
3948 KB |
Output is correct |
28 |
Correct |
310 ms |
6508 KB |
Output is correct |
29 |
Correct |
301 ms |
2540 KB |
Output is correct |
30 |
Correct |
340 ms |
4588 KB |
Output is correct |
31 |
Correct |
388 ms |
4672 KB |
Output is correct |
32 |
Correct |
335 ms |
4460 KB |
Output is correct |
33 |
Correct |
312 ms |
3476 KB |
Output is correct |
34 |
Correct |
316 ms |
3436 KB |
Output is correct |
35 |
Correct |
339 ms |
4076 KB |
Output is correct |
36 |
Correct |
297 ms |
2540 KB |
Output is correct |
37 |
Correct |
381 ms |
4588 KB |
Output is correct |
38 |
Correct |
299 ms |
2668 KB |
Output is correct |
39 |
Correct |
327 ms |
3692 KB |
Output is correct |
40 |
Correct |
321 ms |
3436 KB |
Output is correct |
41 |
Correct |
72 ms |
12908 KB |
Output is correct |
42 |
Correct |
73 ms |
13020 KB |
Output is correct |
43 |
Correct |
73 ms |
12780 KB |
Output is correct |
44 |
Correct |
88 ms |
12908 KB |
Output is correct |
45 |
Correct |
71 ms |
12908 KB |
Output is correct |
46 |
Correct |
94 ms |
12908 KB |
Output is correct |
47 |
Correct |
88 ms |
12908 KB |
Output is correct |
48 |
Correct |
67 ms |
13036 KB |
Output is correct |
49 |
Correct |
68 ms |
12780 KB |
Output is correct |
50 |
Correct |
73 ms |
12908 KB |
Output is correct |
51 |
Correct |
78 ms |
12908 KB |
Output is correct |
52 |
Correct |
81 ms |
12908 KB |
Output is correct |
53 |
Correct |
71 ms |
12780 KB |
Output is correct |
54 |
Correct |
78 ms |
12908 KB |
Output is correct |
55 |
Correct |
92 ms |
12908 KB |
Output is correct |
56 |
Correct |
66 ms |
12708 KB |
Output is correct |
57 |
Correct |
71 ms |
12908 KB |
Output is correct |
58 |
Correct |
71 ms |
12780 KB |
Output is correct |
59 |
Correct |
75 ms |
12780 KB |
Output is correct |
60 |
Correct |
83 ms |
12908 KB |
Output is correct |
61 |
Correct |
70 ms |
12780 KB |
Output is correct |
62 |
Correct |
95 ms |
12908 KB |
Output is correct |
63 |
Correct |
91 ms |
12908 KB |
Output is correct |
64 |
Correct |
71 ms |
12908 KB |
Output is correct |
65 |
Correct |
89 ms |
12908 KB |
Output is correct |
66 |
Correct |
83 ms |
12908 KB |
Output is correct |
67 |
Correct |
83 ms |
12908 KB |
Output is correct |
68 |
Correct |
85 ms |
12908 KB |
Output is correct |
69 |
Correct |
84 ms |
12908 KB |
Output is correct |
70 |
Correct |
83 ms |
12908 KB |
Output is correct |
71 |
Correct |
519 ms |
17808 KB |
Output is correct |
72 |
Correct |
577 ms |
17772 KB |
Output is correct |
73 |
Correct |
631 ms |
16364 KB |
Output is correct |
74 |
Correct |
868 ms |
16748 KB |
Output is correct |
75 |
Correct |
548 ms |
18668 KB |
Output is correct |
76 |
Correct |
1002 ms |
17260 KB |
Output is correct |
77 |
Correct |
917 ms |
17004 KB |
Output is correct |
78 |
Correct |
467 ms |
20844 KB |
Output is correct |
79 |
Correct |
516 ms |
14700 KB |
Output is correct |
80 |
Correct |
546 ms |
17900 KB |
Output is correct |
81 |
Correct |
648 ms |
17920 KB |
Output is correct |
82 |
Correct |
777 ms |
16748 KB |
Output is correct |
83 |
Correct |
511 ms |
15852 KB |
Output is correct |
84 |
Correct |
693 ms |
16620 KB |
Output is correct |
85 |
Correct |
901 ms |
16876 KB |
Output is correct |
86 |
Correct |
449 ms |
14700 KB |
Output is correct |
87 |
Correct |
518 ms |
17772 KB |
Output is correct |
88 |
Correct |
522 ms |
14856 KB |
Output is correct |
89 |
Correct |
616 ms |
16364 KB |
Output is correct |
90 |
Correct |
677 ms |
16620 KB |
Output is correct |
91 |
Correct |
509 ms |
15852 KB |
Output is correct |
92 |
Correct |
1068 ms |
17132 KB |
Output is correct |
93 |
Correct |
909 ms |
17132 KB |
Output is correct |
94 |
Correct |
448 ms |
14696 KB |
Output is correct |
95 |
Correct |
793 ms |
16876 KB |
Output is correct |
96 |
Correct |
798 ms |
16960 KB |
Output is correct |
97 |
Correct |
791 ms |
16748 KB |
Output is correct |
98 |
Correct |
790 ms |
16732 KB |
Output is correct |
99 |
Correct |
788 ms |
16900 KB |
Output is correct |
100 |
Correct |
789 ms |
16748 KB |
Output is correct |