#pragma GCC optimize("Ofast,unroll-loops")
// #pragma comment(linker, "/stack:200000000")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,fma,tune=native")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef int ll;
typedef long double ld;
typedef pair <ll, ll> pll;
#ifdef SINA
#define dbg(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1> void __f(const char* name, Arg1&& arg1) { cout << name << " : " << arg1 << std::endl; }
template <typename Arg1, typename... Args> void __f (const char* names, Arg1&& arg1, Args&&... args) {
const char* comma = strchr(names + 1, ',');cout.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...); }
#define dbg2(x, j, n) cout<< #x << " : "; output((j), (n), x, 1); cout.flush();
#else
#define dbg(...) 0
#define dbg2(x, j, n) 0
#endif
#define SZ(x) ((ll)((x).size()))
#define File(s, t) freopen(s ".txt", "r", stdin); freopen(t ".txt", "w", stdout);
#define input(j, n, a) for (int _i = (j); _i < (n)+(j); _i++) cin>> a[_i];
#define output(j, n, a, t) for (int _i = (j); _i < (n)+(j); _i++) cout<< a[_i] << (((t) && _i != (n)+(j)-1)? ' ' : '\n');
#define kill(x) return cout<< x << endl, 0
#define cl const ll
#define fr first
#define sc second
#define lc (v << 1)
#define rc (lc | 1)
#define mid ((l + r) >> 1)
#define All(x) (x).begin(), (x).end()
cl inf = sizeof(ll) == 4 ? (1e9 + 10) : (3e18), mod = 1e9 + 7, MOD = 998244353;
template <class A,class B> ostream& operator << (ostream& out,const pair<A,B>&a){return out<<'('<<a.first<<", "<<a.second<<')';}
template <class A> ostream& operator << (ostream& out, const vector<A> &a) {
out<< '['; for (int i = -1; ++i < int(a.size());) out<< a[i] << (i + 1 < int(a.size()) ? ", " : ""); return out<<']'; }
template <class T, typename _t = less <T> > using Tree = tree <T, null_type, _t, rb_tree_tag, tree_order_statistics_node_update>;
cl L = 20, N = 1 << L;
ll a [N], dp0 [N], dp1 [N], n, q, ans;
char c;
#define C(x) __builtin_popcount(x)
#define f(x) ((~(x)) & ((1 << n) - 1))
int main ()
{
ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
cin>> n >> q;
for (ll i = 0; i < (1 << n); i++) cin>> c, dp0[i] = dp1[i] = a[i] = c - '0';
for (ll i = 0; i < L; i++) for (ll msk = 0; msk < (1 << n); msk++) {
if (msk >> i & 1) dp1[msk] += dp1[msk ^ (1 << i)];
else dp0[msk] += dp0[msk ^ (1 << i)];
}
for (ll msk0 = 0, msk1 = 0, msk2 = 0, msk; q--; msk0 = msk1 = msk2 = 0) {
for (ll i = 0; i < n; i++) {
cin>> c;
msk0 = (msk0 << 1) | (c == '0');
msk1 = (msk1 << 1) | (c == '1');
msk2 = (msk2 << 1) | (c == '?');
}
if (C(msk2) < 7)
for (msk = msk2, ans = a[msk1]; msk; msk = (msk - 1) & msk2) ans += a[msk1 | msk];
else if (C(msk1) < 7)
for (msk = msk1, ans = dp1[msk1 | msk2]; msk; msk = (msk - 1) & msk1) ans += (C(msk) & 1 ? -1 : 1) * dp1[msk2 | (msk1 ^ msk)];
else
for (msk = msk0, ans = dp0[msk1]; msk; msk = (msk - 1) & msk0) ans += (C(msk) & 1 ? -1 : 1) * dp0[msk1 | msk];
cout<< ans << ' ' << '\n';
}
cerr<< "\nTime elapsed: " << 1000 * clock() / CLOCKS_PER_SEC << "ms\n";
return 0;
}
/*
3 5
12345678
000
0??
1?0
?11
???
4 8
3141592653589793
0101
?01?
??1?
?0??
1?00
01?1
??10
????
*/
# |
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 |
338 ms |
16236 KB |
Output is correct |
12 |
Correct |
339 ms |
15852 KB |
Output is correct |
13 |
Correct |
316 ms |
15084 KB |
Output is correct |
14 |
Correct |
307 ms |
15212 KB |
Output is correct |
15 |
Correct |
385 ms |
16492 KB |
Output is correct |
16 |
Correct |
331 ms |
15340 KB |
Output is correct |
17 |
Correct |
328 ms |
15340 KB |
Output is correct |
18 |
Correct |
318 ms |
17516 KB |
Output is correct |
19 |
Correct |
302 ms |
14248 KB |
Output is correct |
20 |
Correct |
347 ms |
15892 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 |
338 ms |
16236 KB |
Output is correct |
12 |
Correct |
339 ms |
15852 KB |
Output is correct |
13 |
Correct |
316 ms |
15084 KB |
Output is correct |
14 |
Correct |
307 ms |
15212 KB |
Output is correct |
15 |
Correct |
385 ms |
16492 KB |
Output is correct |
16 |
Correct |
331 ms |
15340 KB |
Output is correct |
17 |
Correct |
328 ms |
15340 KB |
Output is correct |
18 |
Correct |
318 ms |
17516 KB |
Output is correct |
19 |
Correct |
302 ms |
14248 KB |
Output is correct |
20 |
Correct |
347 ms |
15892 KB |
Output is correct |
21 |
Correct |
737 ms |
19180 KB |
Output is correct |
22 |
Correct |
395 ms |
19436 KB |
Output is correct |
23 |
Correct |
381 ms |
18540 KB |
Output is correct |
24 |
Correct |
367 ms |
18284 KB |
Output is correct |
25 |
Correct |
396 ms |
20204 KB |
Output is correct |
26 |
Correct |
389 ms |
19052 KB |
Output is correct |
27 |
Correct |
387 ms |
18700 KB |
Output is correct |
28 |
Correct |
365 ms |
21356 KB |
Output is correct |
29 |
Correct |
354 ms |
17388 KB |
Output is correct |
30 |
Correct |
499 ms |
19308 KB |
Output is correct |
31 |
Correct |
428 ms |
19308 KB |
Output is correct |
32 |
Correct |
385 ms |
19308 KB |
Output is correct |
33 |
Correct |
387 ms |
18156 KB |
Output is correct |
34 |
Correct |
365 ms |
18156 KB |
Output is correct |
35 |
Correct |
399 ms |
18668 KB |
Output is correct |
36 |
Correct |
347 ms |
17292 KB |
Output is correct |
37 |
Correct |
428 ms |
19188 KB |
Output is correct |
38 |
Correct |
348 ms |
17388 KB |
Output is correct |
39 |
Correct |
378 ms |
18644 KB |
Output is correct |
40 |
Correct |
365 ms |
18284 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 |
88 ms |
14956 KB |
Output is correct |
12 |
Correct |
78 ms |
15084 KB |
Output is correct |
13 |
Correct |
79 ms |
14956 KB |
Output is correct |
14 |
Correct |
109 ms |
14960 KB |
Output is correct |
15 |
Correct |
77 ms |
15084 KB |
Output is correct |
16 |
Correct |
117 ms |
15136 KB |
Output is correct |
17 |
Correct |
98 ms |
14956 KB |
Output is correct |
18 |
Correct |
70 ms |
15212 KB |
Output is correct |
19 |
Correct |
73 ms |
14828 KB |
Output is correct |
20 |
Correct |
76 ms |
15084 KB |
Output is correct |
21 |
Correct |
88 ms |
14956 KB |
Output is correct |
22 |
Correct |
106 ms |
14956 KB |
Output is correct |
23 |
Correct |
72 ms |
14956 KB |
Output is correct |
24 |
Correct |
84 ms |
14956 KB |
Output is correct |
25 |
Correct |
102 ms |
15084 KB |
Output is correct |
26 |
Correct |
70 ms |
14972 KB |
Output is correct |
27 |
Correct |
72 ms |
15084 KB |
Output is correct |
28 |
Correct |
72 ms |
14828 KB |
Output is correct |
29 |
Correct |
78 ms |
15016 KB |
Output is correct |
30 |
Correct |
81 ms |
14956 KB |
Output is correct |
31 |
Correct |
74 ms |
15084 KB |
Output is correct |
32 |
Correct |
105 ms |
14956 KB |
Output is correct |
33 |
Correct |
101 ms |
14956 KB |
Output is correct |
34 |
Correct |
70 ms |
14828 KB |
Output is correct |
35 |
Correct |
92 ms |
15084 KB |
Output is correct |
36 |
Correct |
90 ms |
14956 KB |
Output is correct |
37 |
Correct |
91 ms |
14956 KB |
Output is correct |
38 |
Correct |
91 ms |
15072 KB |
Output is correct |
39 |
Correct |
89 ms |
14956 KB |
Output is correct |
40 |
Correct |
92 ms |
15084 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 |
338 ms |
16236 KB |
Output is correct |
12 |
Correct |
339 ms |
15852 KB |
Output is correct |
13 |
Correct |
316 ms |
15084 KB |
Output is correct |
14 |
Correct |
307 ms |
15212 KB |
Output is correct |
15 |
Correct |
385 ms |
16492 KB |
Output is correct |
16 |
Correct |
331 ms |
15340 KB |
Output is correct |
17 |
Correct |
328 ms |
15340 KB |
Output is correct |
18 |
Correct |
318 ms |
17516 KB |
Output is correct |
19 |
Correct |
302 ms |
14248 KB |
Output is correct |
20 |
Correct |
347 ms |
15892 KB |
Output is correct |
21 |
Correct |
737 ms |
19180 KB |
Output is correct |
22 |
Correct |
395 ms |
19436 KB |
Output is correct |
23 |
Correct |
381 ms |
18540 KB |
Output is correct |
24 |
Correct |
367 ms |
18284 KB |
Output is correct |
25 |
Correct |
396 ms |
20204 KB |
Output is correct |
26 |
Correct |
389 ms |
19052 KB |
Output is correct |
27 |
Correct |
387 ms |
18700 KB |
Output is correct |
28 |
Correct |
365 ms |
21356 KB |
Output is correct |
29 |
Correct |
354 ms |
17388 KB |
Output is correct |
30 |
Correct |
499 ms |
19308 KB |
Output is correct |
31 |
Correct |
428 ms |
19308 KB |
Output is correct |
32 |
Correct |
385 ms |
19308 KB |
Output is correct |
33 |
Correct |
387 ms |
18156 KB |
Output is correct |
34 |
Correct |
365 ms |
18156 KB |
Output is correct |
35 |
Correct |
399 ms |
18668 KB |
Output is correct |
36 |
Correct |
347 ms |
17292 KB |
Output is correct |
37 |
Correct |
428 ms |
19188 KB |
Output is correct |
38 |
Correct |
348 ms |
17388 KB |
Output is correct |
39 |
Correct |
378 ms |
18644 KB |
Output is correct |
40 |
Correct |
365 ms |
18284 KB |
Output is correct |
41 |
Correct |
88 ms |
14956 KB |
Output is correct |
42 |
Correct |
78 ms |
15084 KB |
Output is correct |
43 |
Correct |
79 ms |
14956 KB |
Output is correct |
44 |
Correct |
109 ms |
14960 KB |
Output is correct |
45 |
Correct |
77 ms |
15084 KB |
Output is correct |
46 |
Correct |
117 ms |
15136 KB |
Output is correct |
47 |
Correct |
98 ms |
14956 KB |
Output is correct |
48 |
Correct |
70 ms |
15212 KB |
Output is correct |
49 |
Correct |
73 ms |
14828 KB |
Output is correct |
50 |
Correct |
76 ms |
15084 KB |
Output is correct |
51 |
Correct |
88 ms |
14956 KB |
Output is correct |
52 |
Correct |
106 ms |
14956 KB |
Output is correct |
53 |
Correct |
72 ms |
14956 KB |
Output is correct |
54 |
Correct |
84 ms |
14956 KB |
Output is correct |
55 |
Correct |
102 ms |
15084 KB |
Output is correct |
56 |
Correct |
70 ms |
14972 KB |
Output is correct |
57 |
Correct |
72 ms |
15084 KB |
Output is correct |
58 |
Correct |
72 ms |
14828 KB |
Output is correct |
59 |
Correct |
78 ms |
15016 KB |
Output is correct |
60 |
Correct |
81 ms |
14956 KB |
Output is correct |
61 |
Correct |
74 ms |
15084 KB |
Output is correct |
62 |
Correct |
105 ms |
14956 KB |
Output is correct |
63 |
Correct |
101 ms |
14956 KB |
Output is correct |
64 |
Correct |
70 ms |
14828 KB |
Output is correct |
65 |
Correct |
92 ms |
15084 KB |
Output is correct |
66 |
Correct |
90 ms |
14956 KB |
Output is correct |
67 |
Correct |
91 ms |
14956 KB |
Output is correct |
68 |
Correct |
91 ms |
15072 KB |
Output is correct |
69 |
Correct |
89 ms |
14956 KB |
Output is correct |
70 |
Correct |
92 ms |
15084 KB |
Output is correct |
71 |
Correct |
574 ms |
40428 KB |
Output is correct |
72 |
Correct |
618 ms |
40428 KB |
Output is correct |
73 |
Correct |
671 ms |
39276 KB |
Output is correct |
74 |
Correct |
1080 ms |
39372 KB |
Output is correct |
75 |
Correct |
657 ms |
41580 KB |
Output is correct |
76 |
Correct |
1342 ms |
39788 KB |
Output is correct |
77 |
Correct |
1119 ms |
39532 KB |
Output is correct |
78 |
Correct |
530 ms |
43372 KB |
Output is correct |
79 |
Correct |
575 ms |
37488 KB |
Output is correct |
80 |
Correct |
646 ms |
40556 KB |
Output is correct |
81 |
Correct |
829 ms |
40428 KB |
Output is correct |
82 |
Correct |
1141 ms |
39276 KB |
Output is correct |
83 |
Correct |
571 ms |
38508 KB |
Output is correct |
84 |
Correct |
752 ms |
39276 KB |
Output is correct |
85 |
Correct |
1135 ms |
39916 KB |
Output is correct |
86 |
Correct |
509 ms |
37484 KB |
Output is correct |
87 |
Correct |
577 ms |
40480 KB |
Output is correct |
88 |
Correct |
586 ms |
37356 KB |
Output is correct |
89 |
Correct |
700 ms |
39148 KB |
Output is correct |
90 |
Correct |
760 ms |
39404 KB |
Output is correct |
91 |
Correct |
567 ms |
38380 KB |
Output is correct |
92 |
Correct |
1202 ms |
39788 KB |
Output is correct |
93 |
Correct |
1129 ms |
39660 KB |
Output is correct |
94 |
Correct |
497 ms |
37228 KB |
Output is correct |
95 |
Correct |
954 ms |
39480 KB |
Output is correct |
96 |
Correct |
951 ms |
39532 KB |
Output is correct |
97 |
Correct |
980 ms |
39516 KB |
Output is correct |
98 |
Correct |
952 ms |
39532 KB |
Output is correct |
99 |
Correct |
968 ms |
39404 KB |
Output is correct |
100 |
Correct |
962 ms |
39532 KB |
Output is correct |