// #pragma GCC optimize("Ofast")
// #pragma GCC optimize("unroll-loops")
// #pragma GCC target("avx,avx2,sse2,sse3,ssse3,sse4,lzcnt,popcnt")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#define ll long long
#define ull unsigned ll
#define point pair<int, int>
#define X first
#define Y second
#define all(x) (x).begin(), (x).end()
#define pb push_back
#define show(x) cerr << (#x) << " = " << x << '\n'
#define print(l, r) cerr << "[" << (#l) << ", " << (#r) << "] = ", _print(l, r), cerr << '\n'
#define fast_io ios_base::sync_with_stdio(0), cin.tie(0)
template<class iter>
void _print(iter _first, iter _last) {
while (_first != _last) {
std::cerr << *(_first) << ' ';
++_first;
}
}
const int N = 1 << 20;
const int S = 2e7 + 64;
const int INF = 1e9 + 64;
const ll MAX = 2e18 + 64;
const int LOG = 22;
const int MOD = 998244353;
const int P = 79;
const int B = 256;
using namespace std;
using namespace __gnu_pbds;
int dp[N][2];
int pw(int x) {
return ((x & 1) ? -1 : 1);
}
int32_t main() {
fast_io;
int L, n, q;
cin >> L >> q, n = 1 << L;
string s;
cin >> s;
for (int i = 0; i < n; ++i)
dp[i][0] = dp[i][1] = s[i] - '0';
for (int i = 0; i < L; ++i)
for (int mask = 0; mask < n; ++mask)
if (mask >> i & 1)
dp[mask][0] += dp[mask ^ (1 << i)][0];
else
dp[mask][1] += dp[mask ^ (1 << i)][1];
while (q--) {
string t;
cin >> t;
reverse(all(t));
int base = 0, add = 0;
int res = 0;
if (count(all(t), '?') <= 6) {
for (int i = 0; i < L; ++i)
if (t[i] == '1')
base |= 1 << i;
else if (t[i] == '?')
add |= 1 << i;
for (int j = add; ; j = (j - 1) & add) {
res += s[base | j] - '0';
if (j == 0)
break;
}
}
else if (count(all(t), '0') <= 6) {
for (int i = 0; i < L; ++i)
if (t[i] == '1')
base |= 1 << i;
else if (t[i] == '0')
add |= 1 << i;
int cnt = __builtin_popcount(base);
for (int j = add; ; j = (j - 1) & add) {
int cur = base | j;
res += dp[cur][1] * pw(__builtin_popcount(cur) - cnt);
if (j == 0)
break;
}
}
else {
for (int i = 0; i < L; ++i) {
if (t[i] != '0')
base |= 1 << i;
if (t[i] == '1')
add |= 1 << i;
}
int cnt = __builtin_popcount(base);
for (int j = add; ; j = (j - 1) & add) {
int cur = base & ~j & (n - 1);
res += dp[cur][0] * pw(cnt - __builtin_popcount(cur));
if (j == 0)
break;
}
}
cout << res << '\n';
}
}
# |
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 |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
472 KB |
Output is correct |
7 |
Correct |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
344 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 |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
472 KB |
Output is correct |
7 |
Correct |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
191 ms |
14960 KB |
Output is correct |
12 |
Correct |
185 ms |
14832 KB |
Output is correct |
13 |
Correct |
162 ms |
13908 KB |
Output is correct |
14 |
Correct |
161 ms |
14156 KB |
Output is correct |
15 |
Correct |
225 ms |
15444 KB |
Output is correct |
16 |
Correct |
178 ms |
14164 KB |
Output is correct |
17 |
Correct |
190 ms |
14236 KB |
Output is correct |
18 |
Correct |
165 ms |
16208 KB |
Output is correct |
19 |
Correct |
167 ms |
13344 KB |
Output is correct |
20 |
Correct |
214 ms |
14788 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 |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
472 KB |
Output is correct |
7 |
Correct |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
191 ms |
14960 KB |
Output is correct |
12 |
Correct |
185 ms |
14832 KB |
Output is correct |
13 |
Correct |
162 ms |
13908 KB |
Output is correct |
14 |
Correct |
161 ms |
14156 KB |
Output is correct |
15 |
Correct |
225 ms |
15444 KB |
Output is correct |
16 |
Correct |
178 ms |
14164 KB |
Output is correct |
17 |
Correct |
190 ms |
14236 KB |
Output is correct |
18 |
Correct |
165 ms |
16208 KB |
Output is correct |
19 |
Correct |
167 ms |
13344 KB |
Output is correct |
20 |
Correct |
214 ms |
14788 KB |
Output is correct |
21 |
Correct |
220 ms |
18008 KB |
Output is correct |
22 |
Correct |
257 ms |
18344 KB |
Output is correct |
23 |
Correct |
208 ms |
17312 KB |
Output is correct |
24 |
Correct |
186 ms |
16980 KB |
Output is correct |
25 |
Correct |
232 ms |
19036 KB |
Output is correct |
26 |
Correct |
229 ms |
17492 KB |
Output is correct |
27 |
Correct |
233 ms |
17492 KB |
Output is correct |
28 |
Correct |
186 ms |
20060 KB |
Output is correct |
29 |
Correct |
212 ms |
16452 KB |
Output is correct |
30 |
Correct |
239 ms |
18128 KB |
Output is correct |
31 |
Correct |
254 ms |
18064 KB |
Output is correct |
32 |
Correct |
207 ms |
18160 KB |
Output is correct |
33 |
Correct |
207 ms |
16976 KB |
Output is correct |
34 |
Correct |
200 ms |
17232 KB |
Output is correct |
35 |
Correct |
252 ms |
17876 KB |
Output is correct |
36 |
Correct |
147 ms |
16212 KB |
Output is correct |
37 |
Correct |
214 ms |
18032 KB |
Output is correct |
38 |
Correct |
202 ms |
16208 KB |
Output is correct |
39 |
Correct |
242 ms |
17152 KB |
Output is correct |
40 |
Correct |
195 ms |
16980 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 |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
472 KB |
Output is correct |
7 |
Correct |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
34 ms |
12028 KB |
Output is correct |
12 |
Correct |
38 ms |
11972 KB |
Output is correct |
13 |
Correct |
35 ms |
12020 KB |
Output is correct |
14 |
Correct |
48 ms |
12024 KB |
Output is correct |
15 |
Correct |
38 ms |
12024 KB |
Output is correct |
16 |
Correct |
52 ms |
12020 KB |
Output is correct |
17 |
Correct |
37 ms |
11860 KB |
Output is correct |
18 |
Correct |
30 ms |
12284 KB |
Output is correct |
19 |
Correct |
38 ms |
12016 KB |
Output is correct |
20 |
Correct |
34 ms |
12084 KB |
Output is correct |
21 |
Correct |
39 ms |
12080 KB |
Output is correct |
22 |
Correct |
49 ms |
11852 KB |
Output is correct |
23 |
Correct |
37 ms |
12024 KB |
Output is correct |
24 |
Correct |
37 ms |
12024 KB |
Output is correct |
25 |
Correct |
42 ms |
11836 KB |
Output is correct |
26 |
Correct |
28 ms |
11932 KB |
Output is correct |
27 |
Correct |
45 ms |
12112 KB |
Output is correct |
28 |
Correct |
32 ms |
11776 KB |
Output is correct |
29 |
Correct |
34 ms |
12024 KB |
Output is correct |
30 |
Correct |
36 ms |
12020 KB |
Output is correct |
31 |
Correct |
41 ms |
11856 KB |
Output is correct |
32 |
Correct |
39 ms |
12016 KB |
Output is correct |
33 |
Correct |
39 ms |
11852 KB |
Output is correct |
34 |
Correct |
29 ms |
11764 KB |
Output is correct |
35 |
Correct |
39 ms |
12004 KB |
Output is correct |
36 |
Correct |
45 ms |
11864 KB |
Output is correct |
37 |
Correct |
42 ms |
11840 KB |
Output is correct |
38 |
Correct |
39 ms |
12004 KB |
Output is correct |
39 |
Correct |
42 ms |
12020 KB |
Output is correct |
40 |
Correct |
36 ms |
12024 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 |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
472 KB |
Output is correct |
7 |
Correct |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
191 ms |
14960 KB |
Output is correct |
12 |
Correct |
185 ms |
14832 KB |
Output is correct |
13 |
Correct |
162 ms |
13908 KB |
Output is correct |
14 |
Correct |
161 ms |
14156 KB |
Output is correct |
15 |
Correct |
225 ms |
15444 KB |
Output is correct |
16 |
Correct |
178 ms |
14164 KB |
Output is correct |
17 |
Correct |
190 ms |
14236 KB |
Output is correct |
18 |
Correct |
165 ms |
16208 KB |
Output is correct |
19 |
Correct |
167 ms |
13344 KB |
Output is correct |
20 |
Correct |
214 ms |
14788 KB |
Output is correct |
21 |
Correct |
220 ms |
18008 KB |
Output is correct |
22 |
Correct |
257 ms |
18344 KB |
Output is correct |
23 |
Correct |
208 ms |
17312 KB |
Output is correct |
24 |
Correct |
186 ms |
16980 KB |
Output is correct |
25 |
Correct |
232 ms |
19036 KB |
Output is correct |
26 |
Correct |
229 ms |
17492 KB |
Output is correct |
27 |
Correct |
233 ms |
17492 KB |
Output is correct |
28 |
Correct |
186 ms |
20060 KB |
Output is correct |
29 |
Correct |
212 ms |
16452 KB |
Output is correct |
30 |
Correct |
239 ms |
18128 KB |
Output is correct |
31 |
Correct |
254 ms |
18064 KB |
Output is correct |
32 |
Correct |
207 ms |
18160 KB |
Output is correct |
33 |
Correct |
207 ms |
16976 KB |
Output is correct |
34 |
Correct |
200 ms |
17232 KB |
Output is correct |
35 |
Correct |
252 ms |
17876 KB |
Output is correct |
36 |
Correct |
147 ms |
16212 KB |
Output is correct |
37 |
Correct |
214 ms |
18032 KB |
Output is correct |
38 |
Correct |
202 ms |
16208 KB |
Output is correct |
39 |
Correct |
242 ms |
17152 KB |
Output is correct |
40 |
Correct |
195 ms |
16980 KB |
Output is correct |
41 |
Correct |
34 ms |
12028 KB |
Output is correct |
42 |
Correct |
38 ms |
11972 KB |
Output is correct |
43 |
Correct |
35 ms |
12020 KB |
Output is correct |
44 |
Correct |
48 ms |
12024 KB |
Output is correct |
45 |
Correct |
38 ms |
12024 KB |
Output is correct |
46 |
Correct |
52 ms |
12020 KB |
Output is correct |
47 |
Correct |
37 ms |
11860 KB |
Output is correct |
48 |
Correct |
30 ms |
12284 KB |
Output is correct |
49 |
Correct |
38 ms |
12016 KB |
Output is correct |
50 |
Correct |
34 ms |
12084 KB |
Output is correct |
51 |
Correct |
39 ms |
12080 KB |
Output is correct |
52 |
Correct |
49 ms |
11852 KB |
Output is correct |
53 |
Correct |
37 ms |
12024 KB |
Output is correct |
54 |
Correct |
37 ms |
12024 KB |
Output is correct |
55 |
Correct |
42 ms |
11836 KB |
Output is correct |
56 |
Correct |
28 ms |
11932 KB |
Output is correct |
57 |
Correct |
45 ms |
12112 KB |
Output is correct |
58 |
Correct |
32 ms |
11776 KB |
Output is correct |
59 |
Correct |
34 ms |
12024 KB |
Output is correct |
60 |
Correct |
36 ms |
12020 KB |
Output is correct |
61 |
Correct |
41 ms |
11856 KB |
Output is correct |
62 |
Correct |
39 ms |
12016 KB |
Output is correct |
63 |
Correct |
39 ms |
11852 KB |
Output is correct |
64 |
Correct |
29 ms |
11764 KB |
Output is correct |
65 |
Correct |
39 ms |
12004 KB |
Output is correct |
66 |
Correct |
45 ms |
11864 KB |
Output is correct |
67 |
Correct |
42 ms |
11840 KB |
Output is correct |
68 |
Correct |
39 ms |
12004 KB |
Output is correct |
69 |
Correct |
42 ms |
12020 KB |
Output is correct |
70 |
Correct |
36 ms |
12024 KB |
Output is correct |
71 |
Correct |
346 ms |
36392 KB |
Output is correct |
72 |
Correct |
332 ms |
36496 KB |
Output is correct |
73 |
Correct |
316 ms |
35064 KB |
Output is correct |
74 |
Correct |
566 ms |
35232 KB |
Output is correct |
75 |
Correct |
349 ms |
37188 KB |
Output is correct |
76 |
Correct |
531 ms |
35568 KB |
Output is correct |
77 |
Correct |
394 ms |
35472 KB |
Output is correct |
78 |
Correct |
251 ms |
39412 KB |
Output is correct |
79 |
Correct |
288 ms |
33424 KB |
Output is correct |
80 |
Correct |
398 ms |
36412 KB |
Output is correct |
81 |
Correct |
455 ms |
36592 KB |
Output is correct |
82 |
Correct |
578 ms |
35168 KB |
Output is correct |
83 |
Correct |
296 ms |
34344 KB |
Output is correct |
84 |
Correct |
355 ms |
35388 KB |
Output is correct |
85 |
Correct |
393 ms |
35568 KB |
Output is correct |
86 |
Correct |
206 ms |
33344 KB |
Output is correct |
87 |
Correct |
306 ms |
36388 KB |
Output is correct |
88 |
Correct |
285 ms |
33268 KB |
Output is correct |
89 |
Correct |
335 ms |
35064 KB |
Output is correct |
90 |
Correct |
359 ms |
35224 KB |
Output is correct |
91 |
Correct |
265 ms |
34516 KB |
Output is correct |
92 |
Correct |
456 ms |
35852 KB |
Output is correct |
93 |
Correct |
427 ms |
35404 KB |
Output is correct |
94 |
Correct |
251 ms |
33004 KB |
Output is correct |
95 |
Correct |
397 ms |
35396 KB |
Output is correct |
96 |
Correct |
429 ms |
35268 KB |
Output is correct |
97 |
Correct |
477 ms |
35320 KB |
Output is correct |
98 |
Correct |
471 ms |
35304 KB |
Output is correct |
99 |
Correct |
407 ms |
35464 KB |
Output is correct |
100 |
Correct |
381 ms |
35512 KB |
Output is correct |