#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
// Ofast, O0, O1, O2, O3, unroll-loops, fast-math, trapv
typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
#define Mp make_pair
#define sep ' '
#define endl '\n'
#define F first
#define S second
#define pb push_back
#define SZ(x) (int)x.size()
#define all(x) (x).begin(),(x).end()
#define kill(res) cout << res << '\n', exit(0);
#define set_dec(x) cout << fixed << setprecision(x);
#define fast_io ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define file_io freopen("input.txt", "r", stdin) ; freopen("output.txt", "w", stdout);
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const ll N = 22;
const ll Mod = 1e9 + 7;
int n, q, cnt[(1 << N)], sos[2][(1 << N)];
string s;
int main(){
fast_io;
cin >> n >> q >> s;
for(int i = 0; i < (1 << n); i++){
cnt[i] = s[i] - '0';
sos[0][i] = sos[1][i] = cnt[i];
}
for(int i = 0; i < n; i++) for(int mask = (1 << n)-1; mask >= 0; mask--) if(mask >> i & 1) sos[0][mask] += sos[0][mask^(1 << i)];
for(int i = 0; i < n; i++) for(int mask = 0; mask < (1 << n); mask++) if((mask >> i & 1) == 0) sos[1][mask] += sos[1][mask^(1 << i)];
while(q--){
string t; cin >> t;
reverse(all(t));
int c[3] = {0, 0, 0};
for(int i = 0; i < n; i++){
if(t[i] == '?') c[2]++;
else c[t[i]-'0']++;
}
int mask[3] = {0, 0, 0}, num[2];
for(int i = 0; i < n; i++){
if(t[i] == '?') mask[2] += (1 << i);
else mask[t[i]-'0'] += (1 << i);
}
num[0] = mask[1];
num[1] = mask[1] | mask[2];
int res = 0;
if(c[0] <= 6){
res = sos[1][num[0]];
for(int i = mask[0]; i > 0; i = (i-1)&mask[0]) res += (__builtin_popcount(i) & 1 ? -1 : 1) * sos[1][num[0]|i];
}
else if(c[1] <= 6){
res = sos[0][num[1]];
for(int i = mask[1]; i > 0; i = (i-1)&mask[1]) res += (__builtin_popcount(i) & 1 ? -1 : 1) * sos[0][num[1]^i];
}
else{
res = cnt[num[0]];
for(int i = mask[2]; i > 0; i = (i-1)&mask[2]) res += cnt[num[0]|i];
}
cout << res << endl;
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 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 |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 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 |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
161 ms |
15044 KB |
Output is correct |
12 |
Correct |
218 ms |
14812 KB |
Output is correct |
13 |
Correct |
219 ms |
14004 KB |
Output is correct |
14 |
Correct |
181 ms |
14112 KB |
Output is correct |
15 |
Correct |
169 ms |
15140 KB |
Output is correct |
16 |
Correct |
167 ms |
14324 KB |
Output is correct |
17 |
Correct |
221 ms |
14196 KB |
Output is correct |
18 |
Correct |
114 ms |
16212 KB |
Output is correct |
19 |
Correct |
198 ms |
13196 KB |
Output is correct |
20 |
Correct |
159 ms |
14756 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 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 |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
161 ms |
15044 KB |
Output is correct |
12 |
Correct |
218 ms |
14812 KB |
Output is correct |
13 |
Correct |
219 ms |
14004 KB |
Output is correct |
14 |
Correct |
181 ms |
14112 KB |
Output is correct |
15 |
Correct |
169 ms |
15140 KB |
Output is correct |
16 |
Correct |
167 ms |
14324 KB |
Output is correct |
17 |
Correct |
221 ms |
14196 KB |
Output is correct |
18 |
Correct |
114 ms |
16212 KB |
Output is correct |
19 |
Correct |
198 ms |
13196 KB |
Output is correct |
20 |
Correct |
159 ms |
14756 KB |
Output is correct |
21 |
Correct |
169 ms |
18256 KB |
Output is correct |
22 |
Correct |
272 ms |
18264 KB |
Output is correct |
23 |
Correct |
312 ms |
17432 KB |
Output is correct |
24 |
Correct |
232 ms |
17236 KB |
Output is correct |
25 |
Correct |
193 ms |
19256 KB |
Output is correct |
26 |
Correct |
228 ms |
17632 KB |
Output is correct |
27 |
Correct |
277 ms |
17492 KB |
Output is correct |
28 |
Correct |
131 ms |
20304 KB |
Output is correct |
29 |
Correct |
294 ms |
16208 KB |
Output is correct |
30 |
Correct |
223 ms |
18256 KB |
Output is correct |
31 |
Correct |
227 ms |
18256 KB |
Output is correct |
32 |
Correct |
205 ms |
18308 KB |
Output is correct |
33 |
Correct |
169 ms |
17052 KB |
Output is correct |
34 |
Correct |
220 ms |
17236 KB |
Output is correct |
35 |
Correct |
252 ms |
17748 KB |
Output is correct |
36 |
Correct |
134 ms |
16212 KB |
Output is correct |
37 |
Correct |
173 ms |
18296 KB |
Output is correct |
38 |
Correct |
263 ms |
16072 KB |
Output is correct |
39 |
Correct |
207 ms |
17248 KB |
Output is correct |
40 |
Correct |
198 ms |
17260 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 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 |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
49 ms |
16116 KB |
Output is correct |
12 |
Correct |
43 ms |
16052 KB |
Output is correct |
13 |
Correct |
43 ms |
16116 KB |
Output is correct |
14 |
Correct |
50 ms |
15964 KB |
Output is correct |
15 |
Correct |
42 ms |
16244 KB |
Output is correct |
16 |
Correct |
51 ms |
15980 KB |
Output is correct |
17 |
Correct |
52 ms |
16112 KB |
Output is correct |
18 |
Correct |
32 ms |
16372 KB |
Output is correct |
19 |
Correct |
37 ms |
15980 KB |
Output is correct |
20 |
Correct |
41 ms |
16116 KB |
Output is correct |
21 |
Correct |
45 ms |
16052 KB |
Output is correct |
22 |
Correct |
50 ms |
16116 KB |
Output is correct |
23 |
Correct |
38 ms |
15980 KB |
Output is correct |
24 |
Correct |
47 ms |
16112 KB |
Output is correct |
25 |
Correct |
47 ms |
16188 KB |
Output is correct |
26 |
Correct |
33 ms |
15992 KB |
Output is correct |
27 |
Correct |
40 ms |
16240 KB |
Output is correct |
28 |
Correct |
37 ms |
15984 KB |
Output is correct |
29 |
Correct |
43 ms |
16368 KB |
Output is correct |
30 |
Correct |
43 ms |
16120 KB |
Output is correct |
31 |
Correct |
40 ms |
16112 KB |
Output is correct |
32 |
Correct |
56 ms |
16164 KB |
Output is correct |
33 |
Correct |
48 ms |
16124 KB |
Output is correct |
34 |
Correct |
33 ms |
15856 KB |
Output is correct |
35 |
Correct |
44 ms |
16120 KB |
Output is correct |
36 |
Correct |
44 ms |
16112 KB |
Output is correct |
37 |
Correct |
44 ms |
16116 KB |
Output is correct |
38 |
Correct |
44 ms |
16112 KB |
Output is correct |
39 |
Correct |
43 ms |
16120 KB |
Output is correct |
40 |
Correct |
57 ms |
16116 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 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 |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
161 ms |
15044 KB |
Output is correct |
12 |
Correct |
218 ms |
14812 KB |
Output is correct |
13 |
Correct |
219 ms |
14004 KB |
Output is correct |
14 |
Correct |
181 ms |
14112 KB |
Output is correct |
15 |
Correct |
169 ms |
15140 KB |
Output is correct |
16 |
Correct |
167 ms |
14324 KB |
Output is correct |
17 |
Correct |
221 ms |
14196 KB |
Output is correct |
18 |
Correct |
114 ms |
16212 KB |
Output is correct |
19 |
Correct |
198 ms |
13196 KB |
Output is correct |
20 |
Correct |
159 ms |
14756 KB |
Output is correct |
21 |
Correct |
169 ms |
18256 KB |
Output is correct |
22 |
Correct |
272 ms |
18264 KB |
Output is correct |
23 |
Correct |
312 ms |
17432 KB |
Output is correct |
24 |
Correct |
232 ms |
17236 KB |
Output is correct |
25 |
Correct |
193 ms |
19256 KB |
Output is correct |
26 |
Correct |
228 ms |
17632 KB |
Output is correct |
27 |
Correct |
277 ms |
17492 KB |
Output is correct |
28 |
Correct |
131 ms |
20304 KB |
Output is correct |
29 |
Correct |
294 ms |
16208 KB |
Output is correct |
30 |
Correct |
223 ms |
18256 KB |
Output is correct |
31 |
Correct |
227 ms |
18256 KB |
Output is correct |
32 |
Correct |
205 ms |
18308 KB |
Output is correct |
33 |
Correct |
169 ms |
17052 KB |
Output is correct |
34 |
Correct |
220 ms |
17236 KB |
Output is correct |
35 |
Correct |
252 ms |
17748 KB |
Output is correct |
36 |
Correct |
134 ms |
16212 KB |
Output is correct |
37 |
Correct |
173 ms |
18296 KB |
Output is correct |
38 |
Correct |
263 ms |
16072 KB |
Output is correct |
39 |
Correct |
207 ms |
17248 KB |
Output is correct |
40 |
Correct |
198 ms |
17260 KB |
Output is correct |
41 |
Correct |
49 ms |
16116 KB |
Output is correct |
42 |
Correct |
43 ms |
16052 KB |
Output is correct |
43 |
Correct |
43 ms |
16116 KB |
Output is correct |
44 |
Correct |
50 ms |
15964 KB |
Output is correct |
45 |
Correct |
42 ms |
16244 KB |
Output is correct |
46 |
Correct |
51 ms |
15980 KB |
Output is correct |
47 |
Correct |
52 ms |
16112 KB |
Output is correct |
48 |
Correct |
32 ms |
16372 KB |
Output is correct |
49 |
Correct |
37 ms |
15980 KB |
Output is correct |
50 |
Correct |
41 ms |
16116 KB |
Output is correct |
51 |
Correct |
45 ms |
16052 KB |
Output is correct |
52 |
Correct |
50 ms |
16116 KB |
Output is correct |
53 |
Correct |
38 ms |
15980 KB |
Output is correct |
54 |
Correct |
47 ms |
16112 KB |
Output is correct |
55 |
Correct |
47 ms |
16188 KB |
Output is correct |
56 |
Correct |
33 ms |
15992 KB |
Output is correct |
57 |
Correct |
40 ms |
16240 KB |
Output is correct |
58 |
Correct |
37 ms |
15984 KB |
Output is correct |
59 |
Correct |
43 ms |
16368 KB |
Output is correct |
60 |
Correct |
43 ms |
16120 KB |
Output is correct |
61 |
Correct |
40 ms |
16112 KB |
Output is correct |
62 |
Correct |
56 ms |
16164 KB |
Output is correct |
63 |
Correct |
48 ms |
16124 KB |
Output is correct |
64 |
Correct |
33 ms |
15856 KB |
Output is correct |
65 |
Correct |
44 ms |
16120 KB |
Output is correct |
66 |
Correct |
44 ms |
16112 KB |
Output is correct |
67 |
Correct |
44 ms |
16116 KB |
Output is correct |
68 |
Correct |
44 ms |
16112 KB |
Output is correct |
69 |
Correct |
43 ms |
16120 KB |
Output is correct |
70 |
Correct |
57 ms |
16116 KB |
Output is correct |
71 |
Correct |
343 ms |
40468 KB |
Output is correct |
72 |
Correct |
375 ms |
40848 KB |
Output is correct |
73 |
Correct |
411 ms |
39032 KB |
Output is correct |
74 |
Correct |
558 ms |
39528 KB |
Output is correct |
75 |
Correct |
410 ms |
41372 KB |
Output is correct |
76 |
Correct |
559 ms |
39836 KB |
Output is correct |
77 |
Correct |
474 ms |
39588 KB |
Output is correct |
78 |
Correct |
199 ms |
43508 KB |
Output is correct |
79 |
Correct |
208 ms |
37360 KB |
Output is correct |
80 |
Correct |
346 ms |
40640 KB |
Output is correct |
81 |
Correct |
442 ms |
40792 KB |
Output is correct |
82 |
Correct |
588 ms |
39668 KB |
Output is correct |
83 |
Correct |
340 ms |
38632 KB |
Output is correct |
84 |
Correct |
542 ms |
39524 KB |
Output is correct |
85 |
Correct |
474 ms |
39532 KB |
Output is correct |
86 |
Correct |
212 ms |
37436 KB |
Output is correct |
87 |
Correct |
343 ms |
40304 KB |
Output is correct |
88 |
Correct |
231 ms |
37616 KB |
Output is correct |
89 |
Correct |
379 ms |
39172 KB |
Output is correct |
90 |
Correct |
412 ms |
39320 KB |
Output is correct |
91 |
Correct |
310 ms |
38648 KB |
Output is correct |
92 |
Correct |
537 ms |
39792 KB |
Output is correct |
93 |
Correct |
510 ms |
39716 KB |
Output is correct |
94 |
Correct |
208 ms |
37484 KB |
Output is correct |
95 |
Correct |
405 ms |
39412 KB |
Output is correct |
96 |
Correct |
476 ms |
39412 KB |
Output is correct |
97 |
Correct |
419 ms |
39400 KB |
Output is correct |
98 |
Correct |
399 ms |
39536 KB |
Output is correct |
99 |
Correct |
400 ms |
39412 KB |
Output is correct |
100 |
Correct |
406 ms |
39416 KB |
Output is correct |