/* be name khoda */
// #define long_enable
#include <iostream>
#include <algorithm>
#include <cstring>
#include <numeric>
#include <vector>
#include <fstream>
#include <set>
#include <map>
using namespace std;
#ifdef long_enable
typedef long long int ll;
#else
typedef int ll;
#endif
typedef pair<ll, ll> pii;
typedef pair<pii, ll> ppi;
typedef pair<ll, pii> pip;
typedef vector<ll> vi;
typedef vector<pii> vpii;
#define forifrom(i, s, n) for (ll i = s; i < n; ++i)
#define forirto(i, n, e) for (ll i = (n) - 1; i >= e; --i)
#define fori(i, n) forifrom (i, 0, n)
#define forir(i, n) forirto (i, n, 0)
#define F first
#define S second
#define pb push_back
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define smin(a, b) a = min(a, (b))
#define smax(a, b) a = max(a, (b))
#define debug(x) cout << #x << " -> " << (x) << endl
#define debug2(x, y) cout << #x << ' ' << #y << " -> " << (x) << ' ' << (y) << endl
#define debug3(x, y, z) cout << #x << ' ' << #y << ' ' << #z << " -> " << (x) << ' ' << (y) << ' ' << (z) << endl
#define debug4(x, y, z, t) cout << #x << ' ' << #y << ' ' << #z << ' ' << #t << " -> " << (x) << ' ' << (y) << ' ' << (z) << ' ' << (t) << endl
#define debuga(x, n) cout << #x << " -> "; fori (i1_da, n) { cout << (x)[i1_da] << ' '; } cout << endl
#define debugaa(x, n, m) cout << #x << " ->\n"; fori (i1_daa, n) { fori (i2_daa, m) { cout << (x)[i1_daa][i2_daa] << ' '; } cout << '\n'; } cout << endl
const ll MOD = 1000000007;
const ll INF = 2000000000;
const long long BIG = 1446803456761533460LL;
#define XL (x << 1)
#define XR (XL | 1)
#define MD ((l + r) >> 1)
#define Add(a, b) a = ((a) + (b)) % MOD
#define Mul(a, b) a = (1LL * (a) * (b)) % MOD
// -----------------------------------------------------------------------
const ll maxn = 20;
const ll maxn2 = 1 << maxn;
ll L, N, Q, dp[2][maxn2]; // dp[1] is over reversed S
string S; // inc-exc SOS over L/3 of masks
void calc(string &S, ll *dp) {
fori (i, N) dp[i] = S[i] - '0';
fori (i, L) forir (j, N) {
if (j >> i & 1) dp[j] += dp[j ^ (1 << i)];
}
}
ll inc_exc(string &q, ll *dp) {
ll a = 0, t = 0;
fori (i, L) {
if (q[i] == '?') t ^= 1 << (L - 1 - i);
else if (q[i] == '1') a ^= 1 << (L - 1 - i);
}
ll s = dp[t ^ a];
for (ll b = a; b; b = (b - 1) & a) {
ll pc = __builtin_popcount(b);
ll v = dp[t ^ a ^ b];
if (pc % 2) s -= v;
else s += v;
}
return s;
}
ll naive(string &q) {
ll a = 0, t = 0;
fori (i, L) {
if (q[i] == '?') a ^= 1 << (L - 1 - i);
else if (q[i] == '1') t ^= 1 << (L - 1 - i);
}
ll s = S[t] - '0';
for (ll b = a; b; b = (b - 1) & a) {
s += S[t ^ b] - '0';
}
return s;
}
int main() {
ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0);
cin >> L >> Q >> S;
N = 1 << L;
calc(S, dp[0]);
reverse(all(S));
calc(S, dp[1]);
reverse(all(S));
fori (qi, Q) {
string q; cin >> q;
ll c[3] = {0, 0, 0};
fori (i, L) {
if (q[i] == '?') c[2]++;
else c[q[i] - '0']++;
}
ll ans = 0;
if (c[0] <= c[1] && c[0] <= c[2]) {
fori (i, L) if (q[i] != '?') q[i] ^= 1;
ans = inc_exc(q, dp[1]);
} else if (c[1] <= c[0] && c[1] <= c[2]) {
ans = inc_exc(q, dp[0]);
} else {
ans = naive(q);
}
cout << ans << '\n';
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
384 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
7 |
Correct |
1 ms |
384 KB |
Output is correct |
8 |
Correct |
1 ms |
384 KB |
Output is correct |
9 |
Correct |
1 ms |
384 KB |
Output is correct |
10 |
Correct |
1 ms |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
384 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
7 |
Correct |
1 ms |
384 KB |
Output is correct |
8 |
Correct |
1 ms |
384 KB |
Output is correct |
9 |
Correct |
1 ms |
384 KB |
Output is correct |
10 |
Correct |
1 ms |
384 KB |
Output is correct |
11 |
Correct |
308 ms |
15148 KB |
Output is correct |
12 |
Correct |
313 ms |
14824 KB |
Output is correct |
13 |
Correct |
318 ms |
14044 KB |
Output is correct |
14 |
Correct |
330 ms |
14200 KB |
Output is correct |
15 |
Correct |
320 ms |
15228 KB |
Output is correct |
16 |
Correct |
372 ms |
14328 KB |
Output is correct |
17 |
Correct |
384 ms |
14328 KB |
Output is correct |
18 |
Correct |
231 ms |
16120 KB |
Output is correct |
19 |
Correct |
262 ms |
13176 KB |
Output is correct |
20 |
Correct |
356 ms |
14844 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
384 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
7 |
Correct |
1 ms |
384 KB |
Output is correct |
8 |
Correct |
1 ms |
384 KB |
Output is correct |
9 |
Correct |
1 ms |
384 KB |
Output is correct |
10 |
Correct |
1 ms |
384 KB |
Output is correct |
11 |
Correct |
308 ms |
15148 KB |
Output is correct |
12 |
Correct |
313 ms |
14824 KB |
Output is correct |
13 |
Correct |
318 ms |
14044 KB |
Output is correct |
14 |
Correct |
330 ms |
14200 KB |
Output is correct |
15 |
Correct |
320 ms |
15228 KB |
Output is correct |
16 |
Correct |
372 ms |
14328 KB |
Output is correct |
17 |
Correct |
384 ms |
14328 KB |
Output is correct |
18 |
Correct |
231 ms |
16120 KB |
Output is correct |
19 |
Correct |
262 ms |
13176 KB |
Output is correct |
20 |
Correct |
356 ms |
14844 KB |
Output is correct |
21 |
Correct |
392 ms |
18168 KB |
Output is correct |
22 |
Correct |
366 ms |
18280 KB |
Output is correct |
23 |
Correct |
375 ms |
17528 KB |
Output is correct |
24 |
Correct |
419 ms |
17144 KB |
Output is correct |
25 |
Correct |
402 ms |
19132 KB |
Output is correct |
26 |
Correct |
469 ms |
17788 KB |
Output is correct |
27 |
Correct |
454 ms |
17656 KB |
Output is correct |
28 |
Correct |
261 ms |
20216 KB |
Output is correct |
29 |
Correct |
326 ms |
16100 KB |
Output is correct |
30 |
Correct |
451 ms |
18296 KB |
Output is correct |
31 |
Correct |
458 ms |
18264 KB |
Output is correct |
32 |
Correct |
508 ms |
18228 KB |
Output is correct |
33 |
Correct |
370 ms |
17052 KB |
Output is correct |
34 |
Correct |
450 ms |
17216 KB |
Output is correct |
35 |
Correct |
469 ms |
17656 KB |
Output is correct |
36 |
Correct |
278 ms |
16120 KB |
Output is correct |
37 |
Correct |
330 ms |
18168 KB |
Output is correct |
38 |
Correct |
308 ms |
16244 KB |
Output is correct |
39 |
Correct |
432 ms |
17400 KB |
Output is correct |
40 |
Correct |
494 ms |
17280 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
384 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
7 |
Correct |
1 ms |
384 KB |
Output is correct |
8 |
Correct |
1 ms |
384 KB |
Output is correct |
9 |
Correct |
1 ms |
384 KB |
Output is correct |
10 |
Correct |
1 ms |
384 KB |
Output is correct |
11 |
Correct |
105 ms |
12020 KB |
Output is correct |
12 |
Correct |
98 ms |
12060 KB |
Output is correct |
13 |
Correct |
108 ms |
11928 KB |
Output is correct |
14 |
Correct |
119 ms |
11928 KB |
Output is correct |
15 |
Correct |
103 ms |
12060 KB |
Output is correct |
16 |
Correct |
129 ms |
11928 KB |
Output is correct |
17 |
Correct |
125 ms |
12052 KB |
Output is correct |
18 |
Correct |
86 ms |
12184 KB |
Output is correct |
19 |
Correct |
91 ms |
11800 KB |
Output is correct |
20 |
Correct |
104 ms |
12056 KB |
Output is correct |
21 |
Correct |
115 ms |
12056 KB |
Output is correct |
22 |
Correct |
132 ms |
12060 KB |
Output is correct |
23 |
Correct |
97 ms |
11928 KB |
Output is correct |
24 |
Correct |
135 ms |
12088 KB |
Output is correct |
25 |
Correct |
124 ms |
11932 KB |
Output is correct |
26 |
Correct |
89 ms |
11804 KB |
Output is correct |
27 |
Correct |
101 ms |
12060 KB |
Output is correct |
28 |
Correct |
94 ms |
11800 KB |
Output is correct |
29 |
Correct |
116 ms |
11924 KB |
Output is correct |
30 |
Correct |
102 ms |
11928 KB |
Output is correct |
31 |
Correct |
98 ms |
11928 KB |
Output is correct |
32 |
Correct |
179 ms |
11928 KB |
Output is correct |
33 |
Correct |
143 ms |
11928 KB |
Output is correct |
34 |
Correct |
88 ms |
11800 KB |
Output is correct |
35 |
Correct |
122 ms |
12056 KB |
Output is correct |
36 |
Correct |
126 ms |
11924 KB |
Output is correct |
37 |
Correct |
119 ms |
11936 KB |
Output is correct |
38 |
Correct |
115 ms |
11932 KB |
Output is correct |
39 |
Correct |
119 ms |
12184 KB |
Output is correct |
40 |
Correct |
115 ms |
12056 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
384 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
7 |
Correct |
1 ms |
384 KB |
Output is correct |
8 |
Correct |
1 ms |
384 KB |
Output is correct |
9 |
Correct |
1 ms |
384 KB |
Output is correct |
10 |
Correct |
1 ms |
384 KB |
Output is correct |
11 |
Correct |
308 ms |
15148 KB |
Output is correct |
12 |
Correct |
313 ms |
14824 KB |
Output is correct |
13 |
Correct |
318 ms |
14044 KB |
Output is correct |
14 |
Correct |
330 ms |
14200 KB |
Output is correct |
15 |
Correct |
320 ms |
15228 KB |
Output is correct |
16 |
Correct |
372 ms |
14328 KB |
Output is correct |
17 |
Correct |
384 ms |
14328 KB |
Output is correct |
18 |
Correct |
231 ms |
16120 KB |
Output is correct |
19 |
Correct |
262 ms |
13176 KB |
Output is correct |
20 |
Correct |
356 ms |
14844 KB |
Output is correct |
21 |
Correct |
392 ms |
18168 KB |
Output is correct |
22 |
Correct |
366 ms |
18280 KB |
Output is correct |
23 |
Correct |
375 ms |
17528 KB |
Output is correct |
24 |
Correct |
419 ms |
17144 KB |
Output is correct |
25 |
Correct |
402 ms |
19132 KB |
Output is correct |
26 |
Correct |
469 ms |
17788 KB |
Output is correct |
27 |
Correct |
454 ms |
17656 KB |
Output is correct |
28 |
Correct |
261 ms |
20216 KB |
Output is correct |
29 |
Correct |
326 ms |
16100 KB |
Output is correct |
30 |
Correct |
451 ms |
18296 KB |
Output is correct |
31 |
Correct |
458 ms |
18264 KB |
Output is correct |
32 |
Correct |
508 ms |
18228 KB |
Output is correct |
33 |
Correct |
370 ms |
17052 KB |
Output is correct |
34 |
Correct |
450 ms |
17216 KB |
Output is correct |
35 |
Correct |
469 ms |
17656 KB |
Output is correct |
36 |
Correct |
278 ms |
16120 KB |
Output is correct |
37 |
Correct |
330 ms |
18168 KB |
Output is correct |
38 |
Correct |
308 ms |
16244 KB |
Output is correct |
39 |
Correct |
432 ms |
17400 KB |
Output is correct |
40 |
Correct |
494 ms |
17280 KB |
Output is correct |
41 |
Correct |
105 ms |
12020 KB |
Output is correct |
42 |
Correct |
98 ms |
12060 KB |
Output is correct |
43 |
Correct |
108 ms |
11928 KB |
Output is correct |
44 |
Correct |
119 ms |
11928 KB |
Output is correct |
45 |
Correct |
103 ms |
12060 KB |
Output is correct |
46 |
Correct |
129 ms |
11928 KB |
Output is correct |
47 |
Correct |
125 ms |
12052 KB |
Output is correct |
48 |
Correct |
86 ms |
12184 KB |
Output is correct |
49 |
Correct |
91 ms |
11800 KB |
Output is correct |
50 |
Correct |
104 ms |
12056 KB |
Output is correct |
51 |
Correct |
115 ms |
12056 KB |
Output is correct |
52 |
Correct |
132 ms |
12060 KB |
Output is correct |
53 |
Correct |
97 ms |
11928 KB |
Output is correct |
54 |
Correct |
135 ms |
12088 KB |
Output is correct |
55 |
Correct |
124 ms |
11932 KB |
Output is correct |
56 |
Correct |
89 ms |
11804 KB |
Output is correct |
57 |
Correct |
101 ms |
12060 KB |
Output is correct |
58 |
Correct |
94 ms |
11800 KB |
Output is correct |
59 |
Correct |
116 ms |
11924 KB |
Output is correct |
60 |
Correct |
102 ms |
11928 KB |
Output is correct |
61 |
Correct |
98 ms |
11928 KB |
Output is correct |
62 |
Correct |
179 ms |
11928 KB |
Output is correct |
63 |
Correct |
143 ms |
11928 KB |
Output is correct |
64 |
Correct |
88 ms |
11800 KB |
Output is correct |
65 |
Correct |
122 ms |
12056 KB |
Output is correct |
66 |
Correct |
126 ms |
11924 KB |
Output is correct |
67 |
Correct |
119 ms |
11936 KB |
Output is correct |
68 |
Correct |
115 ms |
11932 KB |
Output is correct |
69 |
Correct |
119 ms |
12184 KB |
Output is correct |
70 |
Correct |
115 ms |
12056 KB |
Output is correct |
71 |
Correct |
764 ms |
36444 KB |
Output is correct |
72 |
Correct |
628 ms |
36500 KB |
Output is correct |
73 |
Correct |
724 ms |
35120 KB |
Output is correct |
74 |
Correct |
1145 ms |
35464 KB |
Output is correct |
75 |
Correct |
721 ms |
37264 KB |
Output is correct |
76 |
Correct |
1473 ms |
35720 KB |
Output is correct |
77 |
Correct |
1317 ms |
35468 KB |
Output is correct |
78 |
Correct |
468 ms |
39292 KB |
Output is correct |
79 |
Correct |
590 ms |
33304 KB |
Output is correct |
80 |
Correct |
808 ms |
36452 KB |
Output is correct |
81 |
Correct |
1092 ms |
36328 KB |
Output is correct |
82 |
Correct |
1357 ms |
35328 KB |
Output is correct |
83 |
Correct |
664 ms |
34452 KB |
Output is correct |
84 |
Correct |
1410 ms |
35300 KB |
Output is correct |
85 |
Correct |
1221 ms |
35484 KB |
Output is correct |
86 |
Correct |
468 ms |
33304 KB |
Output is correct |
87 |
Correct |
617 ms |
36372 KB |
Output is correct |
88 |
Correct |
565 ms |
33380 KB |
Output is correct |
89 |
Correct |
934 ms |
34968 KB |
Output is correct |
90 |
Correct |
723 ms |
35356 KB |
Output is correct |
91 |
Correct |
583 ms |
34456 KB |
Output is correct |
92 |
Correct |
1663 ms |
35636 KB |
Output is correct |
93 |
Correct |
1228 ms |
35736 KB |
Output is correct |
94 |
Correct |
436 ms |
33420 KB |
Output is correct |
95 |
Correct |
1047 ms |
35416 KB |
Output is correct |
96 |
Correct |
1022 ms |
35476 KB |
Output is correct |
97 |
Correct |
1020 ms |
35652 KB |
Output is correct |
98 |
Correct |
1043 ms |
35508 KB |
Output is correct |
99 |
Correct |
1016 ms |
35700 KB |
Output is correct |
100 |
Correct |
1105 ms |
35448 KB |
Output is correct |