#pragma GCC optimize("Ofast,O3,unroll-loops")
#pragma GCC target("bmi,abm,fma,avx,avx2,popcnt,lzcnt")
#include <iostream>
#include <cassert>
#include <algorithm>
#include <string>
#include <bitset>
#include <vector>
#include <cmath>
#include <deque>
#include <queue>
#include <stack>
#include <map>
#include <set>
#ifndef LOCAL
#include <bits/stdc++.h>
#define cerr if(false)cerr
#endif
using namespace std;
using ll = long long;
const int N = 2e6 + 66;
int up[N];
int dw[N];
vector<int>pos;
string vals, qs;
int L;
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int q;
cin >> L >> q;
cin >> vals;
for (int i = 0 ; i < (1 << L) ; ++ i) {
up[i] = dw[i] = vals[i] - '0';
}
for (int i = 0 ; i < L ; ++ i) {
for (int m = 0 ; m < (1 << L) ; ++ m) {
if (m >> i & 1) {
dw[m] += dw[m ^ (1 << i)];
}
}
}
for (int i = 0 ; i < L ; ++ i) {
for (int m = (1 << L) - 1 ; m >= 0 ; -- m) {
if (m >> i & 1) {
up[m ^ (1 << i)] += up[m];
}
}
}
for (int m = 0 ; m < (1 << L) ; ++ m) {
cerr << bitset<3>(m) << " " << dw[m] << endl;
}
while (q--) {
int ans = 0;
cin >> qs;
reverse(qs.begin(), qs.end());
int a = count(qs.begin(), qs.end(), '0');
int c = count(qs.begin(), qs.end(), '?');
if (c <= 6) {
pos.clear();
for (int i = 0 ; i < L ; ++ i) {
if (qs[i] == '?') {
pos.emplace_back(i);
}
}
int n = pos.size();
int base = 0;
for (int i = 0 ; i < L ; ++ i) {
if (qs[i] == '1') {
base |= 1 << i;
}
}
for (int m = 0 ; m < (1 << n) ; ++ m) {
int mask = base;
for (int i = 0 ; i < n ; ++ i) {
if (m >> i & 1) mask |= 1 << pos[i];
}
ans += vals[mask] - '0';
}
} else if (a <= 6) {
pos.clear();
for (int i = 0 ; i < L ; ++ i) {
if (qs[i] == '0') {
pos.emplace_back(i);
}
}
int n = pos.size();
int base = 0;
for (int i = 0 ; i < L ; ++ i) {
if (qs[i] == '1') {
base |= 1 << i;
}
}
for (int m = 0 ; m < (1 << n) ; ++ m) {
int mask = base;
for (int i = 0 ; i < n ; ++ i) {
if (m >> i & 1) mask |= 1 << pos[i];
}
int par = __builtin_popcount(m) & 1;
int cur = up[mask] * (par ? -1 : 1);
ans += cur;
}
} else {
pos.clear();
for (int i = 0 ; i < L ; ++ i) {
if (qs[i] == '1') {
pos.emplace_back(i);
}
}
int n = pos.size();
int base = 0;
for (int i = 0 ; i < L ; ++ i) {
if (qs[i] == '?') {
base |= 1 << i;
}
}
for (int m = 0 ; m < (1 << n) ; ++ m) {
int mask = base;
for (int i = 0 ; i < n ; ++ i) {
if (m >> i & 1) mask |= 1 << pos[i];
}
int par = __builtin_popcount(((1 << n) - 1) ^ m) & 1;
int cur = dw[mask] * (par ? -1 : 1);
ans += cur;
}
}
cout << ans << "\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
436 ms |
4336 KB |
Output is correct |
12 |
Correct |
428 ms |
4020 KB |
Output is correct |
13 |
Correct |
270 ms |
3188 KB |
Output is correct |
14 |
Correct |
267 ms |
3236 KB |
Output is correct |
15 |
Correct |
653 ms |
4424 KB |
Output is correct |
16 |
Correct |
389 ms |
3628 KB |
Output is correct |
17 |
Correct |
363 ms |
3516 KB |
Output is correct |
18 |
Correct |
186 ms |
5424 KB |
Output is correct |
19 |
Correct |
199 ms |
2472 KB |
Output is correct |
20 |
Correct |
443 ms |
4072 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
436 ms |
4336 KB |
Output is correct |
12 |
Correct |
428 ms |
4020 KB |
Output is correct |
13 |
Correct |
270 ms |
3188 KB |
Output is correct |
14 |
Correct |
267 ms |
3236 KB |
Output is correct |
15 |
Correct |
653 ms |
4424 KB |
Output is correct |
16 |
Correct |
389 ms |
3628 KB |
Output is correct |
17 |
Correct |
363 ms |
3516 KB |
Output is correct |
18 |
Correct |
186 ms |
5424 KB |
Output is correct |
19 |
Correct |
199 ms |
2472 KB |
Output is correct |
20 |
Correct |
443 ms |
4072 KB |
Output is correct |
21 |
Correct |
242 ms |
4476 KB |
Output is correct |
22 |
Correct |
574 ms |
4684 KB |
Output is correct |
23 |
Correct |
402 ms |
3688 KB |
Output is correct |
24 |
Correct |
378 ms |
3476 KB |
Output is correct |
25 |
Correct |
292 ms |
5552 KB |
Output is correct |
26 |
Correct |
496 ms |
3952 KB |
Output is correct |
27 |
Correct |
482 ms |
3984 KB |
Output is correct |
28 |
Correct |
204 ms |
6544 KB |
Output is correct |
29 |
Correct |
236 ms |
2492 KB |
Output is correct |
30 |
Correct |
437 ms |
4684 KB |
Output is correct |
31 |
Correct |
674 ms |
4676 KB |
Output is correct |
32 |
Correct |
485 ms |
4460 KB |
Output is correct |
33 |
Correct |
311 ms |
3404 KB |
Output is correct |
34 |
Correct |
362 ms |
3532 KB |
Output is correct |
35 |
Correct |
451 ms |
3936 KB |
Output is correct |
36 |
Correct |
187 ms |
2536 KB |
Output is correct |
37 |
Correct |
635 ms |
4632 KB |
Output is correct |
38 |
Correct |
241 ms |
2508 KB |
Output is correct |
39 |
Correct |
402 ms |
3652 KB |
Output is correct |
40 |
Correct |
358 ms |
3472 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
47 ms |
9832 KB |
Output is correct |
12 |
Correct |
55 ms |
9832 KB |
Output is correct |
13 |
Correct |
62 ms |
11836 KB |
Output is correct |
14 |
Correct |
75 ms |
11856 KB |
Output is correct |
15 |
Correct |
56 ms |
12112 KB |
Output is correct |
16 |
Correct |
92 ms |
11960 KB |
Output is correct |
17 |
Correct |
73 ms |
11856 KB |
Output is correct |
18 |
Correct |
43 ms |
12128 KB |
Output is correct |
19 |
Correct |
49 ms |
11732 KB |
Output is correct |
20 |
Correct |
54 ms |
11884 KB |
Output is correct |
21 |
Correct |
65 ms |
11992 KB |
Output is correct |
22 |
Correct |
75 ms |
11856 KB |
Output is correct |
23 |
Correct |
55 ms |
11828 KB |
Output is correct |
24 |
Correct |
70 ms |
11864 KB |
Output is correct |
25 |
Correct |
75 ms |
11872 KB |
Output is correct |
26 |
Correct |
45 ms |
11900 KB |
Output is correct |
27 |
Correct |
53 ms |
12012 KB |
Output is correct |
28 |
Correct |
47 ms |
11724 KB |
Output is correct |
29 |
Correct |
61 ms |
11820 KB |
Output is correct |
30 |
Correct |
89 ms |
11824 KB |
Output is correct |
31 |
Correct |
54 ms |
11840 KB |
Output is correct |
32 |
Correct |
106 ms |
11912 KB |
Output is correct |
33 |
Correct |
74 ms |
11860 KB |
Output is correct |
34 |
Correct |
46 ms |
11732 KB |
Output is correct |
35 |
Correct |
68 ms |
11884 KB |
Output is correct |
36 |
Correct |
74 ms |
11940 KB |
Output is correct |
37 |
Correct |
85 ms |
11884 KB |
Output is correct |
38 |
Correct |
71 ms |
11892 KB |
Output is correct |
39 |
Correct |
72 ms |
11884 KB |
Output is correct |
40 |
Correct |
72 ms |
11860 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
436 ms |
4336 KB |
Output is correct |
12 |
Correct |
428 ms |
4020 KB |
Output is correct |
13 |
Correct |
270 ms |
3188 KB |
Output is correct |
14 |
Correct |
267 ms |
3236 KB |
Output is correct |
15 |
Correct |
653 ms |
4424 KB |
Output is correct |
16 |
Correct |
389 ms |
3628 KB |
Output is correct |
17 |
Correct |
363 ms |
3516 KB |
Output is correct |
18 |
Correct |
186 ms |
5424 KB |
Output is correct |
19 |
Correct |
199 ms |
2472 KB |
Output is correct |
20 |
Correct |
443 ms |
4072 KB |
Output is correct |
21 |
Correct |
242 ms |
4476 KB |
Output is correct |
22 |
Correct |
574 ms |
4684 KB |
Output is correct |
23 |
Correct |
402 ms |
3688 KB |
Output is correct |
24 |
Correct |
378 ms |
3476 KB |
Output is correct |
25 |
Correct |
292 ms |
5552 KB |
Output is correct |
26 |
Correct |
496 ms |
3952 KB |
Output is correct |
27 |
Correct |
482 ms |
3984 KB |
Output is correct |
28 |
Correct |
204 ms |
6544 KB |
Output is correct |
29 |
Correct |
236 ms |
2492 KB |
Output is correct |
30 |
Correct |
437 ms |
4684 KB |
Output is correct |
31 |
Correct |
674 ms |
4676 KB |
Output is correct |
32 |
Correct |
485 ms |
4460 KB |
Output is correct |
33 |
Correct |
311 ms |
3404 KB |
Output is correct |
34 |
Correct |
362 ms |
3532 KB |
Output is correct |
35 |
Correct |
451 ms |
3936 KB |
Output is correct |
36 |
Correct |
187 ms |
2536 KB |
Output is correct |
37 |
Correct |
635 ms |
4632 KB |
Output is correct |
38 |
Correct |
241 ms |
2508 KB |
Output is correct |
39 |
Correct |
402 ms |
3652 KB |
Output is correct |
40 |
Correct |
358 ms |
3472 KB |
Output is correct |
41 |
Correct |
47 ms |
9832 KB |
Output is correct |
42 |
Correct |
55 ms |
9832 KB |
Output is correct |
43 |
Correct |
62 ms |
11836 KB |
Output is correct |
44 |
Correct |
75 ms |
11856 KB |
Output is correct |
45 |
Correct |
56 ms |
12112 KB |
Output is correct |
46 |
Correct |
92 ms |
11960 KB |
Output is correct |
47 |
Correct |
73 ms |
11856 KB |
Output is correct |
48 |
Correct |
43 ms |
12128 KB |
Output is correct |
49 |
Correct |
49 ms |
11732 KB |
Output is correct |
50 |
Correct |
54 ms |
11884 KB |
Output is correct |
51 |
Correct |
65 ms |
11992 KB |
Output is correct |
52 |
Correct |
75 ms |
11856 KB |
Output is correct |
53 |
Correct |
55 ms |
11828 KB |
Output is correct |
54 |
Correct |
70 ms |
11864 KB |
Output is correct |
55 |
Correct |
75 ms |
11872 KB |
Output is correct |
56 |
Correct |
45 ms |
11900 KB |
Output is correct |
57 |
Correct |
53 ms |
12012 KB |
Output is correct |
58 |
Correct |
47 ms |
11724 KB |
Output is correct |
59 |
Correct |
61 ms |
11820 KB |
Output is correct |
60 |
Correct |
89 ms |
11824 KB |
Output is correct |
61 |
Correct |
54 ms |
11840 KB |
Output is correct |
62 |
Correct |
106 ms |
11912 KB |
Output is correct |
63 |
Correct |
74 ms |
11860 KB |
Output is correct |
64 |
Correct |
46 ms |
11732 KB |
Output is correct |
65 |
Correct |
68 ms |
11884 KB |
Output is correct |
66 |
Correct |
74 ms |
11940 KB |
Output is correct |
67 |
Correct |
85 ms |
11884 KB |
Output is correct |
68 |
Correct |
71 ms |
11892 KB |
Output is correct |
69 |
Correct |
72 ms |
11884 KB |
Output is correct |
70 |
Correct |
72 ms |
11860 KB |
Output is correct |
71 |
Correct |
329 ms |
36284 KB |
Output is correct |
72 |
Correct |
431 ms |
36400 KB |
Output is correct |
73 |
Correct |
594 ms |
34848 KB |
Output is correct |
74 |
Correct |
946 ms |
35308 KB |
Output is correct |
75 |
Correct |
480 ms |
37388 KB |
Output is correct |
76 |
Correct |
930 ms |
35680 KB |
Output is correct |
77 |
Correct |
864 ms |
35384 KB |
Output is correct |
78 |
Correct |
257 ms |
39276 KB |
Output is correct |
79 |
Correct |
332 ms |
33276 KB |
Output is correct |
80 |
Correct |
392 ms |
36332 KB |
Output is correct |
81 |
Correct |
630 ms |
36208 KB |
Output is correct |
82 |
Correct |
920 ms |
35232 KB |
Output is correct |
83 |
Correct |
474 ms |
34452 KB |
Output is correct |
84 |
Correct |
799 ms |
35288 KB |
Output is correct |
85 |
Correct |
895 ms |
35528 KB |
Output is correct |
86 |
Correct |
262 ms |
33192 KB |
Output is correct |
87 |
Correct |
343 ms |
36260 KB |
Output is correct |
88 |
Correct |
338 ms |
33304 KB |
Output is correct |
89 |
Correct |
619 ms |
34944 KB |
Output is correct |
90 |
Correct |
805 ms |
35224 KB |
Output is correct |
91 |
Correct |
454 ms |
34380 KB |
Output is correct |
92 |
Correct |
1057 ms |
35688 KB |
Output is correct |
93 |
Correct |
867 ms |
35476 KB |
Output is correct |
94 |
Correct |
248 ms |
33256 KB |
Output is correct |
95 |
Correct |
782 ms |
35356 KB |
Output is correct |
96 |
Correct |
808 ms |
35284 KB |
Output is correct |
97 |
Correct |
768 ms |
35208 KB |
Output is correct |
98 |
Correct |
734 ms |
35348 KB |
Output is correct |
99 |
Correct |
801 ms |
35416 KB |
Output is correct |
100 |
Correct |
804 ms |
35328 KB |
Output is correct |