#include <bits/stdc++.h>
using namespace std;
#define f first
#define s second
#define pb(x) push_back(x)
#define sz(x) (int) x.size()
#define all(x) x.begin(), x.end()
#define un(x) (x).erase(unique(all(x)), x.end())
typedef long long ll;
typedef double db;
typedef pair <int, int> ii;
typedef pair <ll, ll> pll;
typedef vector <ll> V;
const int N = 1e7 + 1;
const int M = (1 << 20);
const int mod = 1e9 + 7;
const int inf = 1061109567;
const int block = 490;
template <class T1, class Gz> void add(T1 &x, Gz y) { x += y; if (x < 0) x += mod; if (x >= mod) x -= mod; }
template <class T1, class Gz> bool maximize(T1 &x, Gz y) { if (x < y) { x = y; return true; } return false; }
template <class T1, class Gz> bool minimize(T1 &x, Gz y) { if (x > y) { x = y; return true; } return false; }
int n, q, a[M];
ll dp[2][M];
int 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 x; cin >> x;
a[i] = x - '0';
for(int j = 0; j < 2; j++)
dp[j][i] = a[i];
}
for(int i = 0; i < n; i++) {
for(int mask = 0; mask < (1 << n); mask++) {
if (mask >> i & 1) {
dp[0][mask ^ (1 << i)] += dp[0][mask];
dp[1][mask] += dp[1][mask ^ (1 << i)];
}
}
}
for(int i = 1; i <= q; i++) {
string s; cin >> s;
reverse(all(s));
vector <int> mask(3, 0);
for(int j = 0; j < n; j++) {
char x = s[j];
if (x == '0') mask[0] ^= (1 << j);
if (x == '1') mask[1] ^= (1 << j);
if (x == '?') mask[2] ^= (1 << j);
}
ll ans = 0;
if (__builtin_popcount(mask[2]) <= 6) {
ans = a[mask[1]];
for(int mask1 = mask[2]; mask1; mask1 = (mask1 - 1) & mask[2]) {
ans += a[mask[1] ^ mask1];
}
} else {
if (__builtin_popcount(mask[0]) <= 6) {
ans = dp[0][mask[1]];
for(int mask1 = mask[0]; mask1; mask1 = (mask1 - 1) & mask[0]) {
if (__builtin_popcount(mask1) & 1) {
ans -= dp[0][mask[1] ^ mask1];
} else {
ans += dp[0][mask[1] ^ mask1];
}
}
} else {
int lim = __builtin_popcount(mask[1]);
if (lim & 1) {
ans -= dp[1][mask[2]];
} else {
ans += dp[1][mask[2]];
}
for(int mask1 = mask[1]; mask1; mask1 = (mask1 - 1) & mask[1]) {
if ((lim - __builtin_popcount(mask1)) & 1) {
ans -= dp[1][mask1 ^ mask[2]];
} else {
ans += dp[1][mask1 ^ mask[2]];
}
}
}
} cout << ans << "\n";
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4432 KB |
Output is correct |
2 |
Correct |
2 ms |
4432 KB |
Output is correct |
3 |
Correct |
1 ms |
4600 KB |
Output is correct |
4 |
Correct |
1 ms |
4432 KB |
Output is correct |
5 |
Correct |
1 ms |
4432 KB |
Output is correct |
6 |
Correct |
1 ms |
4432 KB |
Output is correct |
7 |
Correct |
1 ms |
4432 KB |
Output is correct |
8 |
Correct |
1 ms |
4432 KB |
Output is correct |
9 |
Correct |
1 ms |
4432 KB |
Output is correct |
10 |
Correct |
1 ms |
4432 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4432 KB |
Output is correct |
2 |
Correct |
2 ms |
4432 KB |
Output is correct |
3 |
Correct |
1 ms |
4600 KB |
Output is correct |
4 |
Correct |
1 ms |
4432 KB |
Output is correct |
5 |
Correct |
1 ms |
4432 KB |
Output is correct |
6 |
Correct |
1 ms |
4432 KB |
Output is correct |
7 |
Correct |
1 ms |
4432 KB |
Output is correct |
8 |
Correct |
1 ms |
4432 KB |
Output is correct |
9 |
Correct |
1 ms |
4432 KB |
Output is correct |
10 |
Correct |
1 ms |
4432 KB |
Output is correct |
11 |
Correct |
190 ms |
8464 KB |
Output is correct |
12 |
Correct |
189 ms |
8012 KB |
Output is correct |
13 |
Correct |
186 ms |
7496 KB |
Output is correct |
14 |
Correct |
184 ms |
7496 KB |
Output is correct |
15 |
Correct |
219 ms |
8508 KB |
Output is correct |
16 |
Correct |
200 ms |
7636 KB |
Output is correct |
17 |
Correct |
200 ms |
7516 KB |
Output is correct |
18 |
Correct |
119 ms |
9524 KB |
Output is correct |
19 |
Correct |
148 ms |
6476 KB |
Output is correct |
20 |
Correct |
181 ms |
8008 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4432 KB |
Output is correct |
2 |
Correct |
2 ms |
4432 KB |
Output is correct |
3 |
Correct |
1 ms |
4600 KB |
Output is correct |
4 |
Correct |
1 ms |
4432 KB |
Output is correct |
5 |
Correct |
1 ms |
4432 KB |
Output is correct |
6 |
Correct |
1 ms |
4432 KB |
Output is correct |
7 |
Correct |
1 ms |
4432 KB |
Output is correct |
8 |
Correct |
1 ms |
4432 KB |
Output is correct |
9 |
Correct |
1 ms |
4432 KB |
Output is correct |
10 |
Correct |
1 ms |
4432 KB |
Output is correct |
11 |
Correct |
190 ms |
8464 KB |
Output is correct |
12 |
Correct |
189 ms |
8012 KB |
Output is correct |
13 |
Correct |
186 ms |
7496 KB |
Output is correct |
14 |
Correct |
184 ms |
7496 KB |
Output is correct |
15 |
Correct |
219 ms |
8508 KB |
Output is correct |
16 |
Correct |
200 ms |
7636 KB |
Output is correct |
17 |
Correct |
200 ms |
7516 KB |
Output is correct |
18 |
Correct |
119 ms |
9524 KB |
Output is correct |
19 |
Correct |
148 ms |
6476 KB |
Output is correct |
20 |
Correct |
181 ms |
8008 KB |
Output is correct |
21 |
Correct |
170 ms |
8528 KB |
Output is correct |
22 |
Correct |
252 ms |
8776 KB |
Output is correct |
23 |
Correct |
212 ms |
7816 KB |
Output is correct |
24 |
Correct |
223 ms |
7496 KB |
Output is correct |
25 |
Correct |
206 ms |
9544 KB |
Output is correct |
26 |
Correct |
232 ms |
8008 KB |
Output is correct |
27 |
Correct |
245 ms |
8024 KB |
Output is correct |
28 |
Correct |
120 ms |
10636 KB |
Output is correct |
29 |
Correct |
175 ms |
6496 KB |
Output is correct |
30 |
Correct |
217 ms |
8776 KB |
Output is correct |
31 |
Correct |
249 ms |
8500 KB |
Output is correct |
32 |
Correct |
235 ms |
8520 KB |
Output is correct |
33 |
Correct |
189 ms |
7508 KB |
Output is correct |
34 |
Correct |
212 ms |
7568 KB |
Output is correct |
35 |
Correct |
234 ms |
8008 KB |
Output is correct |
36 |
Correct |
129 ms |
6616 KB |
Output is correct |
37 |
Correct |
230 ms |
8520 KB |
Output is correct |
38 |
Correct |
190 ms |
6472 KB |
Output is correct |
39 |
Correct |
218 ms |
7752 KB |
Output is correct |
40 |
Correct |
216 ms |
7500 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4432 KB |
Output is correct |
2 |
Correct |
2 ms |
4432 KB |
Output is correct |
3 |
Correct |
1 ms |
4600 KB |
Output is correct |
4 |
Correct |
1 ms |
4432 KB |
Output is correct |
5 |
Correct |
1 ms |
4432 KB |
Output is correct |
6 |
Correct |
1 ms |
4432 KB |
Output is correct |
7 |
Correct |
1 ms |
4432 KB |
Output is correct |
8 |
Correct |
1 ms |
4432 KB |
Output is correct |
9 |
Correct |
1 ms |
4432 KB |
Output is correct |
10 |
Correct |
1 ms |
4432 KB |
Output is correct |
11 |
Correct |
48 ms |
21064 KB |
Output is correct |
12 |
Correct |
49 ms |
21064 KB |
Output is correct |
13 |
Correct |
54 ms |
21064 KB |
Output is correct |
14 |
Correct |
66 ms |
23008 KB |
Output is correct |
15 |
Correct |
51 ms |
23124 KB |
Output is correct |
16 |
Correct |
64 ms |
23116 KB |
Output is correct |
17 |
Correct |
57 ms |
23008 KB |
Output is correct |
18 |
Correct |
44 ms |
23292 KB |
Output is correct |
19 |
Correct |
49 ms |
23116 KB |
Output is correct |
20 |
Correct |
55 ms |
23116 KB |
Output is correct |
21 |
Correct |
69 ms |
23116 KB |
Output is correct |
22 |
Correct |
64 ms |
23116 KB |
Output is correct |
23 |
Correct |
50 ms |
23128 KB |
Output is correct |
24 |
Correct |
56 ms |
23116 KB |
Output is correct |
25 |
Correct |
63 ms |
23004 KB |
Output is correct |
26 |
Correct |
49 ms |
23116 KB |
Output is correct |
27 |
Correct |
49 ms |
23116 KB |
Output is correct |
28 |
Correct |
51 ms |
23116 KB |
Output is correct |
29 |
Correct |
56 ms |
23116 KB |
Output is correct |
30 |
Correct |
55 ms |
23124 KB |
Output is correct |
31 |
Correct |
52 ms |
22996 KB |
Output is correct |
32 |
Correct |
61 ms |
23116 KB |
Output is correct |
33 |
Correct |
65 ms |
23000 KB |
Output is correct |
34 |
Correct |
44 ms |
23116 KB |
Output is correct |
35 |
Correct |
54 ms |
23124 KB |
Output is correct |
36 |
Correct |
58 ms |
23116 KB |
Output is correct |
37 |
Correct |
56 ms |
23036 KB |
Output is correct |
38 |
Correct |
54 ms |
22996 KB |
Output is correct |
39 |
Correct |
53 ms |
23116 KB |
Output is correct |
40 |
Correct |
57 ms |
23120 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4432 KB |
Output is correct |
2 |
Correct |
2 ms |
4432 KB |
Output is correct |
3 |
Correct |
1 ms |
4600 KB |
Output is correct |
4 |
Correct |
1 ms |
4432 KB |
Output is correct |
5 |
Correct |
1 ms |
4432 KB |
Output is correct |
6 |
Correct |
1 ms |
4432 KB |
Output is correct |
7 |
Correct |
1 ms |
4432 KB |
Output is correct |
8 |
Correct |
1 ms |
4432 KB |
Output is correct |
9 |
Correct |
1 ms |
4432 KB |
Output is correct |
10 |
Correct |
1 ms |
4432 KB |
Output is correct |
11 |
Correct |
190 ms |
8464 KB |
Output is correct |
12 |
Correct |
189 ms |
8012 KB |
Output is correct |
13 |
Correct |
186 ms |
7496 KB |
Output is correct |
14 |
Correct |
184 ms |
7496 KB |
Output is correct |
15 |
Correct |
219 ms |
8508 KB |
Output is correct |
16 |
Correct |
200 ms |
7636 KB |
Output is correct |
17 |
Correct |
200 ms |
7516 KB |
Output is correct |
18 |
Correct |
119 ms |
9524 KB |
Output is correct |
19 |
Correct |
148 ms |
6476 KB |
Output is correct |
20 |
Correct |
181 ms |
8008 KB |
Output is correct |
21 |
Correct |
170 ms |
8528 KB |
Output is correct |
22 |
Correct |
252 ms |
8776 KB |
Output is correct |
23 |
Correct |
212 ms |
7816 KB |
Output is correct |
24 |
Correct |
223 ms |
7496 KB |
Output is correct |
25 |
Correct |
206 ms |
9544 KB |
Output is correct |
26 |
Correct |
232 ms |
8008 KB |
Output is correct |
27 |
Correct |
245 ms |
8024 KB |
Output is correct |
28 |
Correct |
120 ms |
10636 KB |
Output is correct |
29 |
Correct |
175 ms |
6496 KB |
Output is correct |
30 |
Correct |
217 ms |
8776 KB |
Output is correct |
31 |
Correct |
249 ms |
8500 KB |
Output is correct |
32 |
Correct |
235 ms |
8520 KB |
Output is correct |
33 |
Correct |
189 ms |
7508 KB |
Output is correct |
34 |
Correct |
212 ms |
7568 KB |
Output is correct |
35 |
Correct |
234 ms |
8008 KB |
Output is correct |
36 |
Correct |
129 ms |
6616 KB |
Output is correct |
37 |
Correct |
230 ms |
8520 KB |
Output is correct |
38 |
Correct |
190 ms |
6472 KB |
Output is correct |
39 |
Correct |
218 ms |
7752 KB |
Output is correct |
40 |
Correct |
216 ms |
7500 KB |
Output is correct |
41 |
Correct |
48 ms |
21064 KB |
Output is correct |
42 |
Correct |
49 ms |
21064 KB |
Output is correct |
43 |
Correct |
54 ms |
21064 KB |
Output is correct |
44 |
Correct |
66 ms |
23008 KB |
Output is correct |
45 |
Correct |
51 ms |
23124 KB |
Output is correct |
46 |
Correct |
64 ms |
23116 KB |
Output is correct |
47 |
Correct |
57 ms |
23008 KB |
Output is correct |
48 |
Correct |
44 ms |
23292 KB |
Output is correct |
49 |
Correct |
49 ms |
23116 KB |
Output is correct |
50 |
Correct |
55 ms |
23116 KB |
Output is correct |
51 |
Correct |
69 ms |
23116 KB |
Output is correct |
52 |
Correct |
64 ms |
23116 KB |
Output is correct |
53 |
Correct |
50 ms |
23128 KB |
Output is correct |
54 |
Correct |
56 ms |
23116 KB |
Output is correct |
55 |
Correct |
63 ms |
23004 KB |
Output is correct |
56 |
Correct |
49 ms |
23116 KB |
Output is correct |
57 |
Correct |
49 ms |
23116 KB |
Output is correct |
58 |
Correct |
51 ms |
23116 KB |
Output is correct |
59 |
Correct |
56 ms |
23116 KB |
Output is correct |
60 |
Correct |
55 ms |
23124 KB |
Output is correct |
61 |
Correct |
52 ms |
22996 KB |
Output is correct |
62 |
Correct |
61 ms |
23116 KB |
Output is correct |
63 |
Correct |
65 ms |
23000 KB |
Output is correct |
64 |
Correct |
44 ms |
23116 KB |
Output is correct |
65 |
Correct |
54 ms |
23124 KB |
Output is correct |
66 |
Correct |
58 ms |
23116 KB |
Output is correct |
67 |
Correct |
56 ms |
23036 KB |
Output is correct |
68 |
Correct |
54 ms |
22996 KB |
Output is correct |
69 |
Correct |
53 ms |
23116 KB |
Output is correct |
70 |
Correct |
57 ms |
23120 KB |
Output is correct |
71 |
Correct |
282 ms |
47436 KB |
Output is correct |
72 |
Correct |
330 ms |
47692 KB |
Output is correct |
73 |
Correct |
357 ms |
46156 KB |
Output is correct |
74 |
Correct |
584 ms |
46532 KB |
Output is correct |
75 |
Correct |
346 ms |
48460 KB |
Output is correct |
76 |
Correct |
542 ms |
46812 KB |
Output is correct |
77 |
Correct |
465 ms |
46660 KB |
Output is correct |
78 |
Correct |
212 ms |
50764 KB |
Output is correct |
79 |
Correct |
288 ms |
44488 KB |
Output is correct |
80 |
Correct |
355 ms |
47692 KB |
Output is correct |
81 |
Correct |
434 ms |
47376 KB |
Output is correct |
82 |
Correct |
647 ms |
46560 KB |
Output is correct |
83 |
Correct |
309 ms |
45644 KB |
Output is correct |
84 |
Correct |
450 ms |
46412 KB |
Output is correct |
85 |
Correct |
480 ms |
46560 KB |
Output is correct |
86 |
Correct |
200 ms |
44364 KB |
Output is correct |
87 |
Correct |
345 ms |
47436 KB |
Output is correct |
88 |
Correct |
275 ms |
44392 KB |
Output is correct |
89 |
Correct |
335 ms |
46156 KB |
Output is correct |
90 |
Correct |
410 ms |
46412 KB |
Output is correct |
91 |
Correct |
312 ms |
45532 KB |
Output is correct |
92 |
Correct |
535 ms |
46668 KB |
Output is correct |
93 |
Correct |
456 ms |
46556 KB |
Output is correct |
94 |
Correct |
204 ms |
44364 KB |
Output is correct |
95 |
Correct |
415 ms |
46668 KB |
Output is correct |
96 |
Correct |
453 ms |
46588 KB |
Output is correct |
97 |
Correct |
481 ms |
46496 KB |
Output is correct |
98 |
Correct |
407 ms |
46464 KB |
Output is correct |
99 |
Correct |
451 ms |
46548 KB |
Output is correct |
100 |
Correct |
433 ms |
46668 KB |
Output is correct |