#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 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];
int bits[MX];
void calc() {
for (int mask = 0; mask < (1 << n); ++mask) {
sos1[mask] = a[mask];
sos0[mask] = a[mask];
bits[mask] = bits[mask >> 1] + (mask & 1);
}
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 |
368 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 |
368 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 |
299 ms |
4460 KB |
Output is correct |
12 |
Correct |
304 ms |
4076 KB |
Output is correct |
13 |
Correct |
297 ms |
3308 KB |
Output is correct |
14 |
Correct |
276 ms |
3460 KB |
Output is correct |
15 |
Correct |
371 ms |
4496 KB |
Output is correct |
16 |
Correct |
298 ms |
3632 KB |
Output is correct |
17 |
Correct |
286 ms |
3564 KB |
Output is correct |
18 |
Correct |
268 ms |
5484 KB |
Output is correct |
19 |
Correct |
275 ms |
2460 KB |
Output is correct |
20 |
Correct |
315 ms |
4228 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
368 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 |
299 ms |
4460 KB |
Output is correct |
12 |
Correct |
304 ms |
4076 KB |
Output is correct |
13 |
Correct |
297 ms |
3308 KB |
Output is correct |
14 |
Correct |
276 ms |
3460 KB |
Output is correct |
15 |
Correct |
371 ms |
4496 KB |
Output is correct |
16 |
Correct |
298 ms |
3632 KB |
Output is correct |
17 |
Correct |
286 ms |
3564 KB |
Output is correct |
18 |
Correct |
268 ms |
5484 KB |
Output is correct |
19 |
Correct |
275 ms |
2460 KB |
Output is correct |
20 |
Correct |
315 ms |
4228 KB |
Output is correct |
21 |
Correct |
316 ms |
4492 KB |
Output is correct |
22 |
Correct |
432 ms |
4760 KB |
Output is correct |
23 |
Correct |
348 ms |
3836 KB |
Output is correct |
24 |
Correct |
376 ms |
3564 KB |
Output is correct |
25 |
Correct |
364 ms |
5536 KB |
Output is correct |
26 |
Correct |
390 ms |
4072 KB |
Output is correct |
27 |
Correct |
362 ms |
4008 KB |
Output is correct |
28 |
Correct |
349 ms |
6588 KB |
Output is correct |
29 |
Correct |
315 ms |
2544 KB |
Output is correct |
30 |
Correct |
361 ms |
4844 KB |
Output is correct |
31 |
Correct |
402 ms |
4844 KB |
Output is correct |
32 |
Correct |
351 ms |
4716 KB |
Output is correct |
33 |
Correct |
329 ms |
3692 KB |
Output is correct |
34 |
Correct |
329 ms |
3948 KB |
Output is correct |
35 |
Correct |
354 ms |
4460 KB |
Output is correct |
36 |
Correct |
313 ms |
2872 KB |
Output is correct |
37 |
Correct |
396 ms |
4844 KB |
Output is correct |
38 |
Correct |
313 ms |
2924 KB |
Output is correct |
39 |
Correct |
336 ms |
4024 KB |
Output is correct |
40 |
Correct |
339 ms |
4076 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
368 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 |
79 ms |
17388 KB |
Output is correct |
12 |
Correct |
79 ms |
17388 KB |
Output is correct |
13 |
Correct |
86 ms |
17260 KB |
Output is correct |
14 |
Correct |
110 ms |
17388 KB |
Output is correct |
15 |
Correct |
84 ms |
17388 KB |
Output is correct |
16 |
Correct |
106 ms |
17004 KB |
Output is correct |
17 |
Correct |
101 ms |
17004 KB |
Output is correct |
18 |
Correct |
74 ms |
17132 KB |
Output is correct |
19 |
Correct |
73 ms |
16876 KB |
Output is correct |
20 |
Correct |
78 ms |
17004 KB |
Output is correct |
21 |
Correct |
91 ms |
17004 KB |
Output is correct |
22 |
Correct |
124 ms |
17004 KB |
Output is correct |
23 |
Correct |
78 ms |
16876 KB |
Output is correct |
24 |
Correct |
89 ms |
17288 KB |
Output is correct |
25 |
Correct |
100 ms |
17388 KB |
Output is correct |
26 |
Correct |
72 ms |
17260 KB |
Output is correct |
27 |
Correct |
78 ms |
17388 KB |
Output is correct |
28 |
Correct |
85 ms |
17260 KB |
Output is correct |
29 |
Correct |
89 ms |
17260 KB |
Output is correct |
30 |
Correct |
87 ms |
17260 KB |
Output is correct |
31 |
Correct |
90 ms |
17260 KB |
Output is correct |
32 |
Correct |
109 ms |
17404 KB |
Output is correct |
33 |
Correct |
107 ms |
17388 KB |
Output is correct |
34 |
Correct |
73 ms |
17260 KB |
Output is correct |
35 |
Correct |
98 ms |
17388 KB |
Output is correct |
36 |
Correct |
100 ms |
17388 KB |
Output is correct |
37 |
Correct |
94 ms |
17388 KB |
Output is correct |
38 |
Correct |
103 ms |
17388 KB |
Output is correct |
39 |
Correct |
93 ms |
17388 KB |
Output is correct |
40 |
Correct |
92 ms |
17388 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
368 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 |
299 ms |
4460 KB |
Output is correct |
12 |
Correct |
304 ms |
4076 KB |
Output is correct |
13 |
Correct |
297 ms |
3308 KB |
Output is correct |
14 |
Correct |
276 ms |
3460 KB |
Output is correct |
15 |
Correct |
371 ms |
4496 KB |
Output is correct |
16 |
Correct |
298 ms |
3632 KB |
Output is correct |
17 |
Correct |
286 ms |
3564 KB |
Output is correct |
18 |
Correct |
268 ms |
5484 KB |
Output is correct |
19 |
Correct |
275 ms |
2460 KB |
Output is correct |
20 |
Correct |
315 ms |
4228 KB |
Output is correct |
21 |
Correct |
316 ms |
4492 KB |
Output is correct |
22 |
Correct |
432 ms |
4760 KB |
Output is correct |
23 |
Correct |
348 ms |
3836 KB |
Output is correct |
24 |
Correct |
376 ms |
3564 KB |
Output is correct |
25 |
Correct |
364 ms |
5536 KB |
Output is correct |
26 |
Correct |
390 ms |
4072 KB |
Output is correct |
27 |
Correct |
362 ms |
4008 KB |
Output is correct |
28 |
Correct |
349 ms |
6588 KB |
Output is correct |
29 |
Correct |
315 ms |
2544 KB |
Output is correct |
30 |
Correct |
361 ms |
4844 KB |
Output is correct |
31 |
Correct |
402 ms |
4844 KB |
Output is correct |
32 |
Correct |
351 ms |
4716 KB |
Output is correct |
33 |
Correct |
329 ms |
3692 KB |
Output is correct |
34 |
Correct |
329 ms |
3948 KB |
Output is correct |
35 |
Correct |
354 ms |
4460 KB |
Output is correct |
36 |
Correct |
313 ms |
2872 KB |
Output is correct |
37 |
Correct |
396 ms |
4844 KB |
Output is correct |
38 |
Correct |
313 ms |
2924 KB |
Output is correct |
39 |
Correct |
336 ms |
4024 KB |
Output is correct |
40 |
Correct |
339 ms |
4076 KB |
Output is correct |
41 |
Correct |
79 ms |
17388 KB |
Output is correct |
42 |
Correct |
79 ms |
17388 KB |
Output is correct |
43 |
Correct |
86 ms |
17260 KB |
Output is correct |
44 |
Correct |
110 ms |
17388 KB |
Output is correct |
45 |
Correct |
84 ms |
17388 KB |
Output is correct |
46 |
Correct |
106 ms |
17004 KB |
Output is correct |
47 |
Correct |
101 ms |
17004 KB |
Output is correct |
48 |
Correct |
74 ms |
17132 KB |
Output is correct |
49 |
Correct |
73 ms |
16876 KB |
Output is correct |
50 |
Correct |
78 ms |
17004 KB |
Output is correct |
51 |
Correct |
91 ms |
17004 KB |
Output is correct |
52 |
Correct |
124 ms |
17004 KB |
Output is correct |
53 |
Correct |
78 ms |
16876 KB |
Output is correct |
54 |
Correct |
89 ms |
17288 KB |
Output is correct |
55 |
Correct |
100 ms |
17388 KB |
Output is correct |
56 |
Correct |
72 ms |
17260 KB |
Output is correct |
57 |
Correct |
78 ms |
17388 KB |
Output is correct |
58 |
Correct |
85 ms |
17260 KB |
Output is correct |
59 |
Correct |
89 ms |
17260 KB |
Output is correct |
60 |
Correct |
87 ms |
17260 KB |
Output is correct |
61 |
Correct |
90 ms |
17260 KB |
Output is correct |
62 |
Correct |
109 ms |
17404 KB |
Output is correct |
63 |
Correct |
107 ms |
17388 KB |
Output is correct |
64 |
Correct |
73 ms |
17260 KB |
Output is correct |
65 |
Correct |
98 ms |
17388 KB |
Output is correct |
66 |
Correct |
100 ms |
17388 KB |
Output is correct |
67 |
Correct |
94 ms |
17388 KB |
Output is correct |
68 |
Correct |
103 ms |
17388 KB |
Output is correct |
69 |
Correct |
93 ms |
17388 KB |
Output is correct |
70 |
Correct |
92 ms |
17388 KB |
Output is correct |
71 |
Correct |
611 ms |
22124 KB |
Output is correct |
72 |
Correct |
643 ms |
22100 KB |
Output is correct |
73 |
Correct |
717 ms |
20628 KB |
Output is correct |
74 |
Correct |
1136 ms |
20784 KB |
Output is correct |
75 |
Correct |
660 ms |
22804 KB |
Output is correct |
76 |
Correct |
1263 ms |
21228 KB |
Output is correct |
77 |
Correct |
1092 ms |
21004 KB |
Output is correct |
78 |
Correct |
497 ms |
24816 KB |
Output is correct |
79 |
Correct |
537 ms |
18732 KB |
Output is correct |
80 |
Correct |
618 ms |
21868 KB |
Output is correct |
81 |
Correct |
865 ms |
21776 KB |
Output is correct |
82 |
Correct |
1097 ms |
21004 KB |
Output is correct |
83 |
Correct |
543 ms |
19900 KB |
Output is correct |
84 |
Correct |
872 ms |
20752 KB |
Output is correct |
85 |
Correct |
1038 ms |
21124 KB |
Output is correct |
86 |
Correct |
473 ms |
18784 KB |
Output is correct |
87 |
Correct |
599 ms |
21916 KB |
Output is correct |
88 |
Correct |
551 ms |
18828 KB |
Output is correct |
89 |
Correct |
726 ms |
20516 KB |
Output is correct |
90 |
Correct |
843 ms |
20844 KB |
Output is correct |
91 |
Correct |
556 ms |
20008 KB |
Output is correct |
92 |
Correct |
1210 ms |
21116 KB |
Output is correct |
93 |
Correct |
1044 ms |
21100 KB |
Output is correct |
94 |
Correct |
462 ms |
18796 KB |
Output is correct |
95 |
Correct |
895 ms |
20844 KB |
Output is correct |
96 |
Correct |
905 ms |
21100 KB |
Output is correct |
97 |
Correct |
903 ms |
21132 KB |
Output is correct |
98 |
Correct |
917 ms |
20876 KB |
Output is correct |
99 |
Correct |
897 ms |
20844 KB |
Output is correct |
100 |
Correct |
919 ms |
21100 KB |
Output is correct |