#include <bits/stdc++.h>
using namespace std;
typedef long long LL;
typedef double D;
typedef vector<int> VI;
typedef set<int> SI;
typedef map<int, int> MII;
typedef pair<int, int> PII;
#define A first
#define B second
#define SZ(x) int(x.size())
#define PB push_back
#define FR(i, a, b) for (int i = (a); i < (b); i++)
#define FOR(i, n) FR(i, 0, n)
#define RF(i, a, b) for (int i = (a); i >= (b); i--)
#define FRA(a, x) for (auto a: (x))
template <typename T> inline void set_min(T &a, T b) {if(b < a) a = b;}
template <typename T> inline void set_max(T &a, T b) {if(b > a) a = b;}
int n, q;
string se;
const int MXN = 20;
int dp[1<<MXN];
int dp2[1<<MXN];
int val[1<<MXN];
int ms[MXN];
int p;
signed main() {
ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
cin >> n >> q;
cin >> se;
FOR(i, 1<<n) {
val[i] = (se[i] - '0');
dp[i] = dp2[i] = (se[i] - '0');
}
FOR(b, n) {
FOR(i, 1<<n) {
if (i & (1 << b)) dp[i] += dp[i ^ (1 << b)];
else dp2[i] += dp2[i ^ (1 << b)];
}
}
string s;
FOR(_, q) {
cin >> s;
reverse(s.begin(), s.end());
int n0 = 0, n1 = 0, nq = 0;
FRA(x, s) {
if (x == '?') nq++;
else if (x == '0') n0++;
else n1++;
}
int ans = 0;
if (nq <= 6) {
// just add over the bitmasks
int main = 0;
FOR(i, n) {
if (s[i] == '?') ms[p++] = i;
else if (s[i] == '1') main += (1 << i);
}
FOR(i, 1<<nq) {
int p = main;
FOR(j, nq) {
if (i & (1 << j)) p += (1 << ms[j]);
}
ans += val[p];
}
}
else if (n0 <= 6) {
// 0011??
// super(001100)
// -super(011100)
// -super(101100)
// +super(111100)
int main = 0;
FOR(i, n) {
if (s[i] == '0') ms[p++] = i;
else if (s[i] == '1') main += (1 << i);
}
FOR(i, 1<<n0) {
int p = main;
FOR(j, n0) {
if (i & (1 << j)) {
p += (1 << ms[j]);
}
}
if (__builtin_popcount(i) % 2 == 0) ans += dp2[p];
else ans -= dp2[p];
}
}
else { // n1 <= 6
// 0011??
// sub(001111)
// -sub(001011)
// -sub(000111)
// +sub(000011)
int main = 0;
FOR(i, n) {
if (s[i] == '1') ms[p++] = i;
else if (s[i] == '?') main += (1 << i);
}
FOR(i, 1<<n1) {
int p = main;
FOR(j, n1) {
if (i & (1 << j)) p += (1 << ms[j]);
}
if ((n1 - __builtin_popcount(i)) % 2 == 0) ans += dp[p];
else ans -= dp[p];
}
}
cout << ans << '\n';
p = 0;
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4440 KB |
Output is correct |
6 |
Correct |
1 ms |
4440 KB |
Output is correct |
7 |
Correct |
1 ms |
4440 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 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 |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4440 KB |
Output is correct |
6 |
Correct |
1 ms |
4440 KB |
Output is correct |
7 |
Correct |
1 ms |
4440 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
367 ms |
8396 KB |
Output is correct |
12 |
Correct |
414 ms |
8104 KB |
Output is correct |
13 |
Correct |
253 ms |
7284 KB |
Output is correct |
14 |
Correct |
246 ms |
7760 KB |
Output is correct |
15 |
Correct |
702 ms |
8388 KB |
Output is correct |
16 |
Correct |
341 ms |
7556 KB |
Output is correct |
17 |
Correct |
342 ms |
7560 KB |
Output is correct |
18 |
Correct |
134 ms |
9552 KB |
Output is correct |
19 |
Correct |
171 ms |
6484 KB |
Output is correct |
20 |
Correct |
375 ms |
8020 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4440 KB |
Output is correct |
6 |
Correct |
1 ms |
4440 KB |
Output is correct |
7 |
Correct |
1 ms |
4440 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
367 ms |
8396 KB |
Output is correct |
12 |
Correct |
414 ms |
8104 KB |
Output is correct |
13 |
Correct |
253 ms |
7284 KB |
Output is correct |
14 |
Correct |
246 ms |
7760 KB |
Output is correct |
15 |
Correct |
702 ms |
8388 KB |
Output is correct |
16 |
Correct |
341 ms |
7556 KB |
Output is correct |
17 |
Correct |
342 ms |
7560 KB |
Output is correct |
18 |
Correct |
134 ms |
9552 KB |
Output is correct |
19 |
Correct |
171 ms |
6484 KB |
Output is correct |
20 |
Correct |
375 ms |
8020 KB |
Output is correct |
21 |
Correct |
184 ms |
8528 KB |
Output is correct |
22 |
Correct |
614 ms |
8684 KB |
Output is correct |
23 |
Correct |
370 ms |
7760 KB |
Output is correct |
24 |
Correct |
335 ms |
8128 KB |
Output is correct |
25 |
Correct |
286 ms |
9376 KB |
Output is correct |
26 |
Correct |
463 ms |
7980 KB |
Output is correct |
27 |
Correct |
431 ms |
8040 KB |
Output is correct |
28 |
Correct |
148 ms |
10580 KB |
Output is correct |
29 |
Correct |
199 ms |
6480 KB |
Output is correct |
30 |
Correct |
378 ms |
8528 KB |
Output is correct |
31 |
Correct |
764 ms |
8632 KB |
Output is correct |
32 |
Correct |
469 ms |
8788 KB |
Output is correct |
33 |
Correct |
271 ms |
7376 KB |
Output is correct |
34 |
Correct |
338 ms |
7864 KB |
Output is correct |
35 |
Correct |
430 ms |
8016 KB |
Output is correct |
36 |
Correct |
148 ms |
6484 KB |
Output is correct |
37 |
Correct |
731 ms |
8800 KB |
Output is correct |
38 |
Correct |
210 ms |
6484 KB |
Output is correct |
39 |
Correct |
363 ms |
7676 KB |
Output is correct |
40 |
Correct |
326 ms |
7620 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4440 KB |
Output is correct |
6 |
Correct |
1 ms |
4440 KB |
Output is correct |
7 |
Correct |
1 ms |
4440 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
42 ms |
13992 KB |
Output is correct |
12 |
Correct |
40 ms |
14584 KB |
Output is correct |
13 |
Correct |
51 ms |
16144 KB |
Output is correct |
14 |
Correct |
73 ms |
16196 KB |
Output is correct |
15 |
Correct |
49 ms |
16148 KB |
Output is correct |
16 |
Correct |
69 ms |
16112 KB |
Output is correct |
17 |
Correct |
65 ms |
15956 KB |
Output is correct |
18 |
Correct |
31 ms |
16112 KB |
Output is correct |
19 |
Correct |
45 ms |
15856 KB |
Output is correct |
20 |
Correct |
37 ms |
16372 KB |
Output is correct |
21 |
Correct |
52 ms |
16116 KB |
Output is correct |
22 |
Correct |
72 ms |
16116 KB |
Output is correct |
23 |
Correct |
43 ms |
16112 KB |
Output is correct |
24 |
Correct |
67 ms |
16112 KB |
Output is correct |
25 |
Correct |
63 ms |
16116 KB |
Output is correct |
26 |
Correct |
30 ms |
15928 KB |
Output is correct |
27 |
Correct |
36 ms |
16216 KB |
Output is correct |
28 |
Correct |
36 ms |
15860 KB |
Output is correct |
29 |
Correct |
48 ms |
16112 KB |
Output is correct |
30 |
Correct |
66 ms |
16112 KB |
Output is correct |
31 |
Correct |
43 ms |
16112 KB |
Output is correct |
32 |
Correct |
65 ms |
16160 KB |
Output is correct |
33 |
Correct |
58 ms |
16112 KB |
Output is correct |
34 |
Correct |
31 ms |
15956 KB |
Output is correct |
35 |
Correct |
51 ms |
15944 KB |
Output is correct |
36 |
Correct |
52 ms |
16096 KB |
Output is correct |
37 |
Correct |
51 ms |
16116 KB |
Output is correct |
38 |
Correct |
51 ms |
16112 KB |
Output is correct |
39 |
Correct |
51 ms |
16116 KB |
Output is correct |
40 |
Correct |
52 ms |
16096 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4440 KB |
Output is correct |
6 |
Correct |
1 ms |
4440 KB |
Output is correct |
7 |
Correct |
1 ms |
4440 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
367 ms |
8396 KB |
Output is correct |
12 |
Correct |
414 ms |
8104 KB |
Output is correct |
13 |
Correct |
253 ms |
7284 KB |
Output is correct |
14 |
Correct |
246 ms |
7760 KB |
Output is correct |
15 |
Correct |
702 ms |
8388 KB |
Output is correct |
16 |
Correct |
341 ms |
7556 KB |
Output is correct |
17 |
Correct |
342 ms |
7560 KB |
Output is correct |
18 |
Correct |
134 ms |
9552 KB |
Output is correct |
19 |
Correct |
171 ms |
6484 KB |
Output is correct |
20 |
Correct |
375 ms |
8020 KB |
Output is correct |
21 |
Correct |
184 ms |
8528 KB |
Output is correct |
22 |
Correct |
614 ms |
8684 KB |
Output is correct |
23 |
Correct |
370 ms |
7760 KB |
Output is correct |
24 |
Correct |
335 ms |
8128 KB |
Output is correct |
25 |
Correct |
286 ms |
9376 KB |
Output is correct |
26 |
Correct |
463 ms |
7980 KB |
Output is correct |
27 |
Correct |
431 ms |
8040 KB |
Output is correct |
28 |
Correct |
148 ms |
10580 KB |
Output is correct |
29 |
Correct |
199 ms |
6480 KB |
Output is correct |
30 |
Correct |
378 ms |
8528 KB |
Output is correct |
31 |
Correct |
764 ms |
8632 KB |
Output is correct |
32 |
Correct |
469 ms |
8788 KB |
Output is correct |
33 |
Correct |
271 ms |
7376 KB |
Output is correct |
34 |
Correct |
338 ms |
7864 KB |
Output is correct |
35 |
Correct |
430 ms |
8016 KB |
Output is correct |
36 |
Correct |
148 ms |
6484 KB |
Output is correct |
37 |
Correct |
731 ms |
8800 KB |
Output is correct |
38 |
Correct |
210 ms |
6484 KB |
Output is correct |
39 |
Correct |
363 ms |
7676 KB |
Output is correct |
40 |
Correct |
326 ms |
7620 KB |
Output is correct |
41 |
Correct |
42 ms |
13992 KB |
Output is correct |
42 |
Correct |
40 ms |
14584 KB |
Output is correct |
43 |
Correct |
51 ms |
16144 KB |
Output is correct |
44 |
Correct |
73 ms |
16196 KB |
Output is correct |
45 |
Correct |
49 ms |
16148 KB |
Output is correct |
46 |
Correct |
69 ms |
16112 KB |
Output is correct |
47 |
Correct |
65 ms |
15956 KB |
Output is correct |
48 |
Correct |
31 ms |
16112 KB |
Output is correct |
49 |
Correct |
45 ms |
15856 KB |
Output is correct |
50 |
Correct |
37 ms |
16372 KB |
Output is correct |
51 |
Correct |
52 ms |
16116 KB |
Output is correct |
52 |
Correct |
72 ms |
16116 KB |
Output is correct |
53 |
Correct |
43 ms |
16112 KB |
Output is correct |
54 |
Correct |
67 ms |
16112 KB |
Output is correct |
55 |
Correct |
63 ms |
16116 KB |
Output is correct |
56 |
Correct |
30 ms |
15928 KB |
Output is correct |
57 |
Correct |
36 ms |
16216 KB |
Output is correct |
58 |
Correct |
36 ms |
15860 KB |
Output is correct |
59 |
Correct |
48 ms |
16112 KB |
Output is correct |
60 |
Correct |
66 ms |
16112 KB |
Output is correct |
61 |
Correct |
43 ms |
16112 KB |
Output is correct |
62 |
Correct |
65 ms |
16160 KB |
Output is correct |
63 |
Correct |
58 ms |
16112 KB |
Output is correct |
64 |
Correct |
31 ms |
15956 KB |
Output is correct |
65 |
Correct |
51 ms |
15944 KB |
Output is correct |
66 |
Correct |
52 ms |
16096 KB |
Output is correct |
67 |
Correct |
51 ms |
16116 KB |
Output is correct |
68 |
Correct |
51 ms |
16112 KB |
Output is correct |
69 |
Correct |
51 ms |
16116 KB |
Output is correct |
70 |
Correct |
52 ms |
16096 KB |
Output is correct |
71 |
Correct |
269 ms |
40432 KB |
Output is correct |
72 |
Correct |
381 ms |
40692 KB |
Output is correct |
73 |
Correct |
555 ms |
39284 KB |
Output is correct |
74 |
Correct |
1014 ms |
39476 KB |
Output is correct |
75 |
Correct |
473 ms |
41716 KB |
Output is correct |
76 |
Correct |
921 ms |
39760 KB |
Output is correct |
77 |
Correct |
727 ms |
39640 KB |
Output is correct |
78 |
Correct |
192 ms |
43284 KB |
Output is correct |
79 |
Correct |
295 ms |
37364 KB |
Output is correct |
80 |
Correct |
306 ms |
40440 KB |
Output is correct |
81 |
Correct |
643 ms |
40448 KB |
Output is correct |
82 |
Correct |
1025 ms |
39380 KB |
Output is correct |
83 |
Correct |
415 ms |
38644 KB |
Output is correct |
84 |
Correct |
892 ms |
39316 KB |
Output is correct |
85 |
Correct |
720 ms |
39484 KB |
Output is correct |
86 |
Correct |
199 ms |
37360 KB |
Output is correct |
87 |
Correct |
309 ms |
40596 KB |
Output is correct |
88 |
Correct |
312 ms |
37488 KB |
Output is correct |
89 |
Correct |
546 ms |
39152 KB |
Output is correct |
90 |
Correct |
894 ms |
39488 KB |
Output is correct |
91 |
Correct |
427 ms |
38400 KB |
Output is correct |
92 |
Correct |
930 ms |
39808 KB |
Output is correct |
93 |
Correct |
758 ms |
39516 KB |
Output is correct |
94 |
Correct |
210 ms |
37480 KB |
Output is correct |
95 |
Correct |
601 ms |
39784 KB |
Output is correct |
96 |
Correct |
660 ms |
39492 KB |
Output is correct |
97 |
Correct |
620 ms |
39924 KB |
Output is correct |
98 |
Correct |
605 ms |
39408 KB |
Output is correct |
99 |
Correct |
610 ms |
39588 KB |
Output is correct |
100 |
Correct |
650 ms |
39412 KB |
Output is correct |