#include <bits/stdc++.h>
#include <fstream>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/trie_policy.hpp>
using namespace __gnu_pbds;
using namespace std;
template<class A, class B>
ostream& operator<<(ostream& o, const pair<A, B>& p) {return o << '(' << p.first << ", " << p.second << ')';}
template<size_t Index = 0, typename... Types>
ostream& printTupleElements(ostream& o, const tuple<Types...>& t) {if constexpr (Index < sizeof...(Types)){if(Index > 0){o << ", ";}o << get<Index>(t);printTupleElements<Index + 1>(o, t);}return o;}
template<typename... Types>
ostream& operator<<(ostream& o, const tuple<Types...>& t){o << "(";printTupleElements(o, t);return o << ")";}
template<class T>
auto operator<<(ostream& o, const T& x) -> decltype(x.end(), o){o << '{';bool first = true;for (const auto& e : x){if (!first){o << ", ";}o << e;first = false;} return o << '}';}
struct custom_hash {static uint64_t splitmix64(uint64_t x) {x += 0x9e3779b97f4a7c15;x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;x = (x ^ (x >> 27)) * 0x94d049bb133111eb;return x ^ (x >> 31);}
size_t operator()(uint64_t x) const {static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();return splitmix64(x + FIXED_RANDOM);}};
//#define DEBUG
#ifdef DEBUG
#define fastio()
#define debug(x...) cerr << "[" #x "]: ", [](auto... $) {((cerr << $ << "; "), ...); }(x), cerr << '\n'
#else
#define fastio() ios_base::sync_with_stdio(0); cin.tie(0);
#define debug(...)
#endif
typedef long long ll;
typedef tree<int, null_type, less<int>, rb_tree_tag,tree_order_statistics_node_update> ordered_set;
#define pi pair<int, int>
#define pll pair<ll, ll>
#define st first
#define nd second
#define vi vector<int>
#define vll vector<ll>
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
void solve() {
//ifstream cin("nazwa.in");
//ofstream cout("nazwa.out");
int l, t;
cin >> l >> t;
string c;
cin >> c;
vi dpdol((1 << l), 0), dpgora((1 << l), 0);
for(int i = 0; i < (1 << l); i++) {
dpdol[i] = (c[i] - '0');
dpgora[i] = (c[i] - '0');
}
for(int i = 0; i < l; i++) {
for(int mask = 0; mask < (1 << l); mask++) {
if(mask & (1 << i)) {
dpdol[mask] += dpdol[mask ^ (1 << i)];
}
else {
dpgora[mask] += dpgora[mask ^ (1 << i)];
}
}
}
while(t--) {
string a;
cin >> a;
reverse(all(a));
int ilezap = 0, ilezer = 0, ilejed = 0;
for(auto x : a) {
if(x == '?') {
ilezap++;
}
else if(x == '0') {
ilezer++;
}
else {
ilejed++;
}
}
if(min({ilezap, ilezer, ilejed}) == ilezer) {
vi kt;
for(int i = 0; i < l; i++) {
if(a[i] == '0') {
kt.eb(i);
}
}
int aktmask = 0;
for(int i = 0; i < l; i++) {
if(a[i] == '1') {
aktmask += (1 << i);
}
}
int ans = 0;
for(int mask = 0; mask < (1 << sz(kt)); mask++) {
int nmask = aktmask;
for(int j = 0; j < sz(kt); j++) {
if(mask & (1 << j)) {
nmask ^= (1 << kt[j]);
}
}
if(__builtin_popcount(mask) & 1) {
ans -= dpgora[nmask];
}
else {
ans += dpgora[nmask];
}
}
cout << ans << '\n';
}
else if(min({ilezap, ilezer, ilejed}) == ilejed) {
vi kt;
for(int i = 0; i < l; i++) {
if(a[i] == '1') {
kt.eb(i);
}
}
int aktmask = 0;
for(int i = 0; i < l; i++) {
if(a[i] == '1' || a[i] == '?') {
aktmask += (1 << i);
}
}
int ans = 0;
for(int mask = 0; mask < (1 << sz(kt)); mask++) {
int nmask = aktmask;
for(int j = 0; j < sz(kt); j++) {
if(mask & (1 << j)) {
nmask ^= (1 << kt[j]);
}
}
if(__builtin_popcount(mask) & 1) {
ans -= dpdol[nmask];
}
else {
ans += dpdol[nmask];
}
}
cout << ans << '\n';
}
else {
vi kt;
for(int i = 0; i < l; i++) {
if(a[i] == '?') {
kt.eb(i);
}
}
int aktmask = 0;
for(int i = 0; i < l; i++) {
if(a[i] == '1') {
aktmask += (1 << i);
}
}
int ans = 0;
for(int mask = 0; mask < (1 << sz(kt)); mask++) {
int nmask = aktmask;
for(int j = 0; j < sz(kt); j++) {
if(mask & (1 << j)) {
nmask ^= (1 << kt[j]);
}
}
ans += (c[nmask] - '0');
}
cout << ans << '\n';
}
}
}
int main() {
fastio();
int t = 1;
//cin >> t;
while(t--) {
solve();
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
189 ms |
15184 KB |
Output is correct |
12 |
Correct |
243 ms |
14672 KB |
Output is correct |
13 |
Correct |
339 ms |
13908 KB |
Output is correct |
14 |
Correct |
422 ms |
14144 KB |
Output is correct |
15 |
Correct |
305 ms |
15188 KB |
Output is correct |
16 |
Correct |
401 ms |
14264 KB |
Output is correct |
17 |
Correct |
386 ms |
14356 KB |
Output is correct |
18 |
Correct |
164 ms |
16212 KB |
Output is correct |
19 |
Correct |
187 ms |
13000 KB |
Output is correct |
20 |
Correct |
228 ms |
14676 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
189 ms |
15184 KB |
Output is correct |
12 |
Correct |
243 ms |
14672 KB |
Output is correct |
13 |
Correct |
339 ms |
13908 KB |
Output is correct |
14 |
Correct |
422 ms |
14144 KB |
Output is correct |
15 |
Correct |
305 ms |
15188 KB |
Output is correct |
16 |
Correct |
401 ms |
14264 KB |
Output is correct |
17 |
Correct |
386 ms |
14356 KB |
Output is correct |
18 |
Correct |
164 ms |
16212 KB |
Output is correct |
19 |
Correct |
187 ms |
13000 KB |
Output is correct |
20 |
Correct |
228 ms |
14676 KB |
Output is correct |
21 |
Correct |
257 ms |
18096 KB |
Output is correct |
22 |
Correct |
289 ms |
18380 KB |
Output is correct |
23 |
Correct |
437 ms |
17240 KB |
Output is correct |
24 |
Correct |
548 ms |
17284 KB |
Output is correct |
25 |
Correct |
416 ms |
19024 KB |
Output is correct |
26 |
Correct |
493 ms |
17744 KB |
Output is correct |
27 |
Correct |
484 ms |
17508 KB |
Output is correct |
28 |
Correct |
194 ms |
20052 KB |
Output is correct |
29 |
Correct |
268 ms |
16208 KB |
Output is correct |
30 |
Correct |
278 ms |
18324 KB |
Output is correct |
31 |
Correct |
453 ms |
18148 KB |
Output is correct |
32 |
Correct |
509 ms |
18000 KB |
Output is correct |
33 |
Correct |
359 ms |
17172 KB |
Output is correct |
34 |
Correct |
524 ms |
17232 KB |
Output is correct |
35 |
Correct |
470 ms |
17660 KB |
Output is correct |
36 |
Correct |
169 ms |
16216 KB |
Output is correct |
37 |
Correct |
274 ms |
18000 KB |
Output is correct |
38 |
Correct |
281 ms |
16128 KB |
Output is correct |
39 |
Correct |
423 ms |
17236 KB |
Output is correct |
40 |
Correct |
509 ms |
17236 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
50 ms |
12016 KB |
Output is correct |
12 |
Correct |
52 ms |
12016 KB |
Output is correct |
13 |
Correct |
60 ms |
11860 KB |
Output is correct |
14 |
Correct |
94 ms |
12008 KB |
Output is correct |
15 |
Correct |
55 ms |
12048 KB |
Output is correct |
16 |
Correct |
81 ms |
11868 KB |
Output is correct |
17 |
Correct |
80 ms |
12020 KB |
Output is correct |
18 |
Correct |
39 ms |
12024 KB |
Output is correct |
19 |
Correct |
47 ms |
11760 KB |
Output is correct |
20 |
Correct |
49 ms |
12020 KB |
Output is correct |
21 |
Correct |
65 ms |
11948 KB |
Output is correct |
22 |
Correct |
93 ms |
11860 KB |
Output is correct |
23 |
Correct |
55 ms |
11864 KB |
Output is correct |
24 |
Correct |
81 ms |
12020 KB |
Output is correct |
25 |
Correct |
71 ms |
11860 KB |
Output is correct |
26 |
Correct |
38 ms |
11860 KB |
Output is correct |
27 |
Correct |
47 ms |
12020 KB |
Output is correct |
28 |
Correct |
50 ms |
11768 KB |
Output is correct |
29 |
Correct |
62 ms |
11824 KB |
Output is correct |
30 |
Correct |
80 ms |
12016 KB |
Output is correct |
31 |
Correct |
55 ms |
12016 KB |
Output is correct |
32 |
Correct |
82 ms |
12020 KB |
Output is correct |
33 |
Correct |
73 ms |
12020 KB |
Output is correct |
34 |
Correct |
43 ms |
11872 KB |
Output is correct |
35 |
Correct |
66 ms |
12020 KB |
Output is correct |
36 |
Correct |
67 ms |
12020 KB |
Output is correct |
37 |
Correct |
69 ms |
12020 KB |
Output is correct |
38 |
Correct |
71 ms |
11860 KB |
Output is correct |
39 |
Correct |
64 ms |
12276 KB |
Output is correct |
40 |
Correct |
68 ms |
11880 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
189 ms |
15184 KB |
Output is correct |
12 |
Correct |
243 ms |
14672 KB |
Output is correct |
13 |
Correct |
339 ms |
13908 KB |
Output is correct |
14 |
Correct |
422 ms |
14144 KB |
Output is correct |
15 |
Correct |
305 ms |
15188 KB |
Output is correct |
16 |
Correct |
401 ms |
14264 KB |
Output is correct |
17 |
Correct |
386 ms |
14356 KB |
Output is correct |
18 |
Correct |
164 ms |
16212 KB |
Output is correct |
19 |
Correct |
187 ms |
13000 KB |
Output is correct |
20 |
Correct |
228 ms |
14676 KB |
Output is correct |
21 |
Correct |
257 ms |
18096 KB |
Output is correct |
22 |
Correct |
289 ms |
18380 KB |
Output is correct |
23 |
Correct |
437 ms |
17240 KB |
Output is correct |
24 |
Correct |
548 ms |
17284 KB |
Output is correct |
25 |
Correct |
416 ms |
19024 KB |
Output is correct |
26 |
Correct |
493 ms |
17744 KB |
Output is correct |
27 |
Correct |
484 ms |
17508 KB |
Output is correct |
28 |
Correct |
194 ms |
20052 KB |
Output is correct |
29 |
Correct |
268 ms |
16208 KB |
Output is correct |
30 |
Correct |
278 ms |
18324 KB |
Output is correct |
31 |
Correct |
453 ms |
18148 KB |
Output is correct |
32 |
Correct |
509 ms |
18000 KB |
Output is correct |
33 |
Correct |
359 ms |
17172 KB |
Output is correct |
34 |
Correct |
524 ms |
17232 KB |
Output is correct |
35 |
Correct |
470 ms |
17660 KB |
Output is correct |
36 |
Correct |
169 ms |
16216 KB |
Output is correct |
37 |
Correct |
274 ms |
18000 KB |
Output is correct |
38 |
Correct |
281 ms |
16128 KB |
Output is correct |
39 |
Correct |
423 ms |
17236 KB |
Output is correct |
40 |
Correct |
509 ms |
17236 KB |
Output is correct |
41 |
Correct |
50 ms |
12016 KB |
Output is correct |
42 |
Correct |
52 ms |
12016 KB |
Output is correct |
43 |
Correct |
60 ms |
11860 KB |
Output is correct |
44 |
Correct |
94 ms |
12008 KB |
Output is correct |
45 |
Correct |
55 ms |
12048 KB |
Output is correct |
46 |
Correct |
81 ms |
11868 KB |
Output is correct |
47 |
Correct |
80 ms |
12020 KB |
Output is correct |
48 |
Correct |
39 ms |
12024 KB |
Output is correct |
49 |
Correct |
47 ms |
11760 KB |
Output is correct |
50 |
Correct |
49 ms |
12020 KB |
Output is correct |
51 |
Correct |
65 ms |
11948 KB |
Output is correct |
52 |
Correct |
93 ms |
11860 KB |
Output is correct |
53 |
Correct |
55 ms |
11864 KB |
Output is correct |
54 |
Correct |
81 ms |
12020 KB |
Output is correct |
55 |
Correct |
71 ms |
11860 KB |
Output is correct |
56 |
Correct |
38 ms |
11860 KB |
Output is correct |
57 |
Correct |
47 ms |
12020 KB |
Output is correct |
58 |
Correct |
50 ms |
11768 KB |
Output is correct |
59 |
Correct |
62 ms |
11824 KB |
Output is correct |
60 |
Correct |
80 ms |
12016 KB |
Output is correct |
61 |
Correct |
55 ms |
12016 KB |
Output is correct |
62 |
Correct |
82 ms |
12020 KB |
Output is correct |
63 |
Correct |
73 ms |
12020 KB |
Output is correct |
64 |
Correct |
43 ms |
11872 KB |
Output is correct |
65 |
Correct |
66 ms |
12020 KB |
Output is correct |
66 |
Correct |
67 ms |
12020 KB |
Output is correct |
67 |
Correct |
69 ms |
12020 KB |
Output is correct |
68 |
Correct |
71 ms |
11860 KB |
Output is correct |
69 |
Correct |
64 ms |
12276 KB |
Output is correct |
70 |
Correct |
68 ms |
11880 KB |
Output is correct |
71 |
Correct |
433 ms |
36336 KB |
Output is correct |
72 |
Correct |
456 ms |
36328 KB |
Output is correct |
73 |
Correct |
730 ms |
34872 KB |
Output is correct |
74 |
Correct |
1308 ms |
35376 KB |
Output is correct |
75 |
Correct |
602 ms |
37452 KB |
Output is correct |
76 |
Correct |
1131 ms |
35624 KB |
Output is correct |
77 |
Correct |
981 ms |
35468 KB |
Output is correct |
78 |
Correct |
281 ms |
39208 KB |
Output is correct |
79 |
Correct |
432 ms |
33244 KB |
Output is correct |
80 |
Correct |
461 ms |
36352 KB |
Output is correct |
81 |
Correct |
765 ms |
36656 KB |
Output is correct |
82 |
Correct |
1271 ms |
35572 KB |
Output is correct |
83 |
Correct |
536 ms |
34348 KB |
Output is correct |
84 |
Correct |
1133 ms |
35404 KB |
Output is correct |
85 |
Correct |
949 ms |
35400 KB |
Output is correct |
86 |
Correct |
288 ms |
33192 KB |
Output is correct |
87 |
Correct |
447 ms |
36384 KB |
Output is correct |
88 |
Correct |
499 ms |
33292 KB |
Output is correct |
89 |
Correct |
765 ms |
35092 KB |
Output is correct |
90 |
Correct |
1098 ms |
35232 KB |
Output is correct |
91 |
Correct |
538 ms |
34392 KB |
Output is correct |
92 |
Correct |
1188 ms |
35792 KB |
Output is correct |
93 |
Correct |
1018 ms |
35152 KB |
Output is correct |
94 |
Correct |
282 ms |
33316 KB |
Output is correct |
95 |
Correct |
802 ms |
35476 KB |
Output is correct |
96 |
Correct |
842 ms |
35736 KB |
Output is correct |
97 |
Correct |
806 ms |
35500 KB |
Output is correct |
98 |
Correct |
778 ms |
35384 KB |
Output is correct |
99 |
Correct |
797 ms |
35508 KB |
Output is correct |
100 |
Correct |
773 ms |
35292 KB |
Output is correct |