#pragma GCC optimize("Ofast,unroll-loops,no-stack-protector,fast-math,inline")
#include <bits/stdc++.h>
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,lzcnt,mmx,abm,avx,avx2,fma")
using namespace std;
// using namespace __gnu_pbds;
// typedef tree<pair<int,int>,null_type,less<pair<int,int>>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
#define static_assert(...);
#include <tr2/dynamic_bitset>
using custom_bitset = tr2::dynamic_bitset<__uint128_t>;
#define speed ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define int long long
#define bigInt __int128
#define dl double long
#define fl float
#define all(s) s.begin(), s.end()
#define pub push_back
#define puf push_front
#define pob pop_back
#define pof pob_front
#define ins insert
#define F first
#define S second
#define len length
const int N = 100010;
const int M = 1010;
const int LN = 131072;
const int INF = 1000000000000000000;
const int MOD = 1e9 + 7;
const int BLOCK = 500;
int binpow(int a, int b, int MOD) {
int res = 1;
while (b > 0) {
if (b & 1) {
res = res * a;
res %= MOD;
}
a = a * a;
a %= MOD;
b >>= 1;
}
return res;
}
int MMI(int a, int MOD) {
int ret = binpow(a, MOD - 2, MOD);
return ret;
}
// int mdiv(int a, int b) {
// int ret = a*MMI(b);
// ret %= MOD;
// return ret;
// }
int mmul(int a, int b) {
int ret = (a % MOD) * (b % MOD);
ret %= MOD;
return ret;
}
int madd(int a, int b) {
int ret = (a % MOD) + (b % MOD);
ret %= MOD;
return ret;
}
int msub(int a, int b) {
int ret = (a % MOD) - (b % MOD);
ret += MOD;
ret %= MOD;
return ret;
}
int GCD(int a, int b) {
if (b == 0) {
return a;
}
return GCD(b, a % b);
}
int LCM(int a, int b) {
return a*b / GCD(a, b);
}
struct pqComp
{
bool operator()(const pair<int, int>& p1, const pair<int, int>& p2) const
{
return (p1.F < p2.F) || (p1.F == p2.F && p1.S < p2.S);
}
};
bool pCompF(pair<int, int>& p1, pair<int, int>& p2)
{
return p1.F < p2.F;
}
bool pCompS(pair<int, int>& p1, pair<int, int>& p2)
{
return p1.S < p2.S;
}
bool pCompFS(pair<int, int>& p1, pair<int, int>& p2)
{
return (p1.S < p2.S) || (p1.S == p2.S && p1.F < p2.F);
}
vector <pair<int, int>> DS {{1, 0}, {0, 1}};//{{0, -1}, {1, 0}, {0, 1}, {-1, 0}};//, {-1, -1}, {-1, 1}, {1, -1}, {1, 1}};
int n, q, a[11*N], sub[11*N], sup[11*N];
void solve() {
cin >> n >> q;
for (int i = 0; i < (1 << n); ++i) {
char c; cin >> c;
a[i] = (c - '0');
}
for (int i = 0; i < (1 << n); ++i) {
sub[i] = a[i];
sup[i] = a[i];
}
for (int i = 0; i < n; ++i) {
for (int mask = 0; mask < (1 << n); ++mask) {
if (((mask >> i) & 1)) {
sub[mask] += sub[mask - (1 << i)];
}
}
}
for (int i = 0; i < n; ++i) {
for (int mask = (1 << n) - 1; mask >= 0; --mask) {
if (!((mask >> i) & 1)) {
sup[mask] += sup[mask + (1 << i)];
}
}
}
while (q--) {
string s; cin >> s;
map<char,int> cnt;
for (char c: s) {
++cnt[c];
}
reverse(all(s));
int mask = 0;
map<char,vector<int>> v;
for (int i = 0; i < n; ++i) {
v[s[i]].pub(i);
if (s[i] != '?') {
mask ^= (1 << i)*(s[i] - '0');
}
}
int ans = 0;
if (cnt['?'] <= 6) {
for (int mask1 = 0; mask1 < (1 << cnt['?']); ++mask1) {
int nmask = mask;
for (int i = 0; i < cnt['?']; ++i) {
if ((mask1 >> i) & 1) {
nmask ^= (1 << v['?'][i]);
}
}
ans += a[nmask];
}
}
else if (cnt['1'] <= 6) {
for (int i: v['?']) {
mask += (1 << i);
}
for (int mask1 = 0; mask1 < (1 << cnt['1']); ++mask1) {
int nmask = mask;
for (int i = 0; i < cnt['1']; ++i) {
if ((mask1 >> i) & 1) {
nmask ^= (1 << v['1'][i]);
}
}
if (__builtin_popcount(mask1) % 2) {
ans -= sub[nmask];
}
else {
ans += sub[nmask];
}
}
}
else {
for (int mask1 = 0; mask1 < (1 << cnt['0']); ++mask1) {
int nmask = mask;
for (int i = 0; i < cnt['0']; ++i) {
if ((mask1 >> i) & 1) {
nmask ^= (1 << v['0'][i]);
}
}
if (__builtin_popcount(mask1) % 2) {
ans -= sup[nmask];
}
else {
ans += sup[nmask];
}
}
}
cout << ans << '\n';
}
}
signed main() {
speed;
int T = 1;
//cin >> T;
while (T--) {
solve();
}
}
/*
НЕ ЗАХОДИТ РЕШЕНИЕ?
1) ПРОВЕРЬ НА ОЧЕВИДНЫЕ ОШИБКИ В КОДЕ
2) ПРОВЕРЬ НА ПЕРЕПОЛНЕНИЯ
3) УБЕДИСЬ В ПРАВИЛЬНОСТИ АЛГОРИТМА
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4444 KB |
Output is correct |
2 |
Correct |
2 ms |
4588 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4568 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4444 KB |
Output is correct |
2 |
Correct |
2 ms |
4588 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4568 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
1070 ms |
17536 KB |
Output is correct |
12 |
Correct |
951 ms |
16532 KB |
Output is correct |
13 |
Correct |
635 ms |
16208 KB |
Output is correct |
14 |
Correct |
569 ms |
15948 KB |
Output is correct |
15 |
Correct |
1750 ms |
16980 KB |
Output is correct |
16 |
Correct |
732 ms |
16188 KB |
Output is correct |
17 |
Correct |
761 ms |
15956 KB |
Output is correct |
18 |
Correct |
287 ms |
18000 KB |
Output is correct |
19 |
Correct |
406 ms |
14992 KB |
Output is correct |
20 |
Correct |
990 ms |
16460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4444 KB |
Output is correct |
2 |
Correct |
2 ms |
4588 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4568 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
1070 ms |
17536 KB |
Output is correct |
12 |
Correct |
951 ms |
16532 KB |
Output is correct |
13 |
Correct |
635 ms |
16208 KB |
Output is correct |
14 |
Correct |
569 ms |
15948 KB |
Output is correct |
15 |
Correct |
1750 ms |
16980 KB |
Output is correct |
16 |
Correct |
732 ms |
16188 KB |
Output is correct |
17 |
Correct |
761 ms |
15956 KB |
Output is correct |
18 |
Correct |
287 ms |
18000 KB |
Output is correct |
19 |
Correct |
406 ms |
14992 KB |
Output is correct |
20 |
Correct |
990 ms |
16460 KB |
Output is correct |
21 |
Correct |
1965 ms |
18600 KB |
Output is correct |
22 |
Correct |
941 ms |
15748 KB |
Output is correct |
23 |
Correct |
897 ms |
15180 KB |
Output is correct |
24 |
Correct |
795 ms |
14996 KB |
Output is correct |
25 |
Correct |
637 ms |
16792 KB |
Output is correct |
26 |
Correct |
990 ms |
15444 KB |
Output is correct |
27 |
Correct |
986 ms |
15188 KB |
Output is correct |
28 |
Correct |
285 ms |
17744 KB |
Output is correct |
29 |
Correct |
427 ms |
13648 KB |
Output is correct |
30 |
Correct |
1397 ms |
15956 KB |
Output is correct |
31 |
Correct |
1887 ms |
15784 KB |
Output is correct |
32 |
Correct |
1105 ms |
15696 KB |
Output is correct |
33 |
Correct |
614 ms |
14672 KB |
Output is correct |
34 |
Correct |
814 ms |
14672 KB |
Output is correct |
35 |
Correct |
978 ms |
15304 KB |
Output is correct |
36 |
Correct |
261 ms |
13908 KB |
Output is correct |
37 |
Correct |
1946 ms |
15712 KB |
Output is correct |
38 |
Correct |
456 ms |
13652 KB |
Output is correct |
39 |
Correct |
852 ms |
14932 KB |
Output is correct |
40 |
Correct |
804 ms |
14672 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4444 KB |
Output is correct |
2 |
Correct |
2 ms |
4588 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4568 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
56 ms |
27988 KB |
Output is correct |
12 |
Correct |
61 ms |
28132 KB |
Output is correct |
13 |
Correct |
88 ms |
27988 KB |
Output is correct |
14 |
Correct |
143 ms |
28244 KB |
Output is correct |
15 |
Correct |
75 ms |
27988 KB |
Output is correct |
16 |
Correct |
119 ms |
27912 KB |
Output is correct |
17 |
Correct |
110 ms |
27988 KB |
Output is correct |
18 |
Correct |
44 ms |
28100 KB |
Output is correct |
19 |
Correct |
62 ms |
27988 KB |
Output is correct |
20 |
Correct |
66 ms |
27984 KB |
Output is correct |
21 |
Correct |
92 ms |
27988 KB |
Output is correct |
22 |
Correct |
148 ms |
27988 KB |
Output is correct |
23 |
Correct |
72 ms |
27924 KB |
Output is correct |
24 |
Correct |
132 ms |
28100 KB |
Output is correct |
25 |
Correct |
104 ms |
27988 KB |
Output is correct |
26 |
Correct |
43 ms |
27912 KB |
Output is correct |
27 |
Correct |
58 ms |
27984 KB |
Output is correct |
28 |
Correct |
57 ms |
27984 KB |
Output is correct |
29 |
Correct |
88 ms |
27960 KB |
Output is correct |
30 |
Correct |
130 ms |
28056 KB |
Output is correct |
31 |
Correct |
71 ms |
27992 KB |
Output is correct |
32 |
Correct |
129 ms |
27988 KB |
Output is correct |
33 |
Correct |
111 ms |
27984 KB |
Output is correct |
34 |
Correct |
41 ms |
27920 KB |
Output is correct |
35 |
Correct |
90 ms |
27916 KB |
Output is correct |
36 |
Correct |
96 ms |
27920 KB |
Output is correct |
37 |
Correct |
97 ms |
28244 KB |
Output is correct |
38 |
Correct |
91 ms |
27984 KB |
Output is correct |
39 |
Correct |
95 ms |
28056 KB |
Output is correct |
40 |
Correct |
97 ms |
27988 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4444 KB |
Output is correct |
2 |
Correct |
2 ms |
4588 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4568 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
1070 ms |
17536 KB |
Output is correct |
12 |
Correct |
951 ms |
16532 KB |
Output is correct |
13 |
Correct |
635 ms |
16208 KB |
Output is correct |
14 |
Correct |
569 ms |
15948 KB |
Output is correct |
15 |
Correct |
1750 ms |
16980 KB |
Output is correct |
16 |
Correct |
732 ms |
16188 KB |
Output is correct |
17 |
Correct |
761 ms |
15956 KB |
Output is correct |
18 |
Correct |
287 ms |
18000 KB |
Output is correct |
19 |
Correct |
406 ms |
14992 KB |
Output is correct |
20 |
Correct |
990 ms |
16460 KB |
Output is correct |
21 |
Correct |
1965 ms |
18600 KB |
Output is correct |
22 |
Correct |
941 ms |
15748 KB |
Output is correct |
23 |
Correct |
897 ms |
15180 KB |
Output is correct |
24 |
Correct |
795 ms |
14996 KB |
Output is correct |
25 |
Correct |
637 ms |
16792 KB |
Output is correct |
26 |
Correct |
990 ms |
15444 KB |
Output is correct |
27 |
Correct |
986 ms |
15188 KB |
Output is correct |
28 |
Correct |
285 ms |
17744 KB |
Output is correct |
29 |
Correct |
427 ms |
13648 KB |
Output is correct |
30 |
Correct |
1397 ms |
15956 KB |
Output is correct |
31 |
Correct |
1887 ms |
15784 KB |
Output is correct |
32 |
Correct |
1105 ms |
15696 KB |
Output is correct |
33 |
Correct |
614 ms |
14672 KB |
Output is correct |
34 |
Correct |
814 ms |
14672 KB |
Output is correct |
35 |
Correct |
978 ms |
15304 KB |
Output is correct |
36 |
Correct |
261 ms |
13908 KB |
Output is correct |
37 |
Correct |
1946 ms |
15712 KB |
Output is correct |
38 |
Correct |
456 ms |
13652 KB |
Output is correct |
39 |
Correct |
852 ms |
14932 KB |
Output is correct |
40 |
Correct |
804 ms |
14672 KB |
Output is correct |
41 |
Correct |
56 ms |
27988 KB |
Output is correct |
42 |
Correct |
61 ms |
28132 KB |
Output is correct |
43 |
Correct |
88 ms |
27988 KB |
Output is correct |
44 |
Correct |
143 ms |
28244 KB |
Output is correct |
45 |
Correct |
75 ms |
27988 KB |
Output is correct |
46 |
Correct |
119 ms |
27912 KB |
Output is correct |
47 |
Correct |
110 ms |
27988 KB |
Output is correct |
48 |
Correct |
44 ms |
28100 KB |
Output is correct |
49 |
Correct |
62 ms |
27988 KB |
Output is correct |
50 |
Correct |
66 ms |
27984 KB |
Output is correct |
51 |
Correct |
92 ms |
27988 KB |
Output is correct |
52 |
Correct |
148 ms |
27988 KB |
Output is correct |
53 |
Correct |
72 ms |
27924 KB |
Output is correct |
54 |
Correct |
132 ms |
28100 KB |
Output is correct |
55 |
Correct |
104 ms |
27988 KB |
Output is correct |
56 |
Correct |
43 ms |
27912 KB |
Output is correct |
57 |
Correct |
58 ms |
27984 KB |
Output is correct |
58 |
Correct |
57 ms |
27984 KB |
Output is correct |
59 |
Correct |
88 ms |
27960 KB |
Output is correct |
60 |
Correct |
130 ms |
28056 KB |
Output is correct |
61 |
Correct |
71 ms |
27992 KB |
Output is correct |
62 |
Correct |
129 ms |
27988 KB |
Output is correct |
63 |
Correct |
111 ms |
27984 KB |
Output is correct |
64 |
Correct |
41 ms |
27920 KB |
Output is correct |
65 |
Correct |
90 ms |
27916 KB |
Output is correct |
66 |
Correct |
96 ms |
27920 KB |
Output is correct |
67 |
Correct |
97 ms |
28244 KB |
Output is correct |
68 |
Correct |
91 ms |
27984 KB |
Output is correct |
69 |
Correct |
95 ms |
28056 KB |
Output is correct |
70 |
Correct |
97 ms |
27988 KB |
Output is correct |
71 |
Correct |
641 ms |
41716 KB |
Output is correct |
72 |
Correct |
761 ms |
42064 KB |
Output is correct |
73 |
Correct |
1322 ms |
40396 KB |
Output is correct |
74 |
Execution timed out |
2086 ms |
38996 KB |
Time limit exceeded |
75 |
Halted |
0 ms |
0 KB |
- |