#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 | (1 << i)] += dw[m];
}
}
}
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];
}
}
}
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 {
assert(false);
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 = 0;
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 |
0 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 |
0 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 |
415 ms |
4388 KB |
Output is correct |
12 |
Correct |
421 ms |
4056 KB |
Output is correct |
13 |
Correct |
267 ms |
3280 KB |
Output is correct |
14 |
Correct |
260 ms |
3316 KB |
Output is correct |
15 |
Correct |
665 ms |
4316 KB |
Output is correct |
16 |
Correct |
357 ms |
3456 KB |
Output is correct |
17 |
Correct |
343 ms |
3500 KB |
Output is correct |
18 |
Correct |
179 ms |
5340 KB |
Output is correct |
19 |
Correct |
195 ms |
2236 KB |
Output is correct |
20 |
Correct |
425 ms |
3888 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 |
0 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 |
415 ms |
4388 KB |
Output is correct |
12 |
Correct |
421 ms |
4056 KB |
Output is correct |
13 |
Correct |
267 ms |
3280 KB |
Output is correct |
14 |
Correct |
260 ms |
3316 KB |
Output is correct |
15 |
Correct |
665 ms |
4316 KB |
Output is correct |
16 |
Correct |
357 ms |
3456 KB |
Output is correct |
17 |
Correct |
343 ms |
3500 KB |
Output is correct |
18 |
Correct |
179 ms |
5340 KB |
Output is correct |
19 |
Correct |
195 ms |
2236 KB |
Output is correct |
20 |
Correct |
425 ms |
3888 KB |
Output is correct |
21 |
Correct |
230 ms |
4300 KB |
Output is correct |
22 |
Correct |
569 ms |
4580 KB |
Output is correct |
23 |
Correct |
376 ms |
3488 KB |
Output is correct |
24 |
Correct |
350 ms |
3428 KB |
Output is correct |
25 |
Correct |
281 ms |
5380 KB |
Output is correct |
26 |
Correct |
468 ms |
3836 KB |
Output is correct |
27 |
Correct |
452 ms |
3824 KB |
Output is correct |
28 |
Correct |
192 ms |
6348 KB |
Output is correct |
29 |
Correct |
224 ms |
2416 KB |
Output is correct |
30 |
Correct |
419 ms |
4508 KB |
Output is correct |
31 |
Correct |
696 ms |
4392 KB |
Output is correct |
32 |
Correct |
455 ms |
4428 KB |
Output is correct |
33 |
Correct |
291 ms |
3288 KB |
Output is correct |
34 |
Correct |
360 ms |
3432 KB |
Output is correct |
35 |
Correct |
451 ms |
3772 KB |
Output is correct |
36 |
Correct |
184 ms |
2464 KB |
Output is correct |
37 |
Correct |
656 ms |
4428 KB |
Output is correct |
38 |
Correct |
232 ms |
2408 KB |
Output is correct |
39 |
Correct |
381 ms |
3664 KB |
Output is correct |
40 |
Correct |
356 ms |
3376 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 |
0 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 |
44 ms |
9836 KB |
Output is correct |
12 |
Runtime error |
42 ms |
19420 KB |
Execution killed with signal 6 |
13 |
Halted |
0 ms |
0 KB |
- |
# |
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 |
0 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 |
415 ms |
4388 KB |
Output is correct |
12 |
Correct |
421 ms |
4056 KB |
Output is correct |
13 |
Correct |
267 ms |
3280 KB |
Output is correct |
14 |
Correct |
260 ms |
3316 KB |
Output is correct |
15 |
Correct |
665 ms |
4316 KB |
Output is correct |
16 |
Correct |
357 ms |
3456 KB |
Output is correct |
17 |
Correct |
343 ms |
3500 KB |
Output is correct |
18 |
Correct |
179 ms |
5340 KB |
Output is correct |
19 |
Correct |
195 ms |
2236 KB |
Output is correct |
20 |
Correct |
425 ms |
3888 KB |
Output is correct |
21 |
Correct |
230 ms |
4300 KB |
Output is correct |
22 |
Correct |
569 ms |
4580 KB |
Output is correct |
23 |
Correct |
376 ms |
3488 KB |
Output is correct |
24 |
Correct |
350 ms |
3428 KB |
Output is correct |
25 |
Correct |
281 ms |
5380 KB |
Output is correct |
26 |
Correct |
468 ms |
3836 KB |
Output is correct |
27 |
Correct |
452 ms |
3824 KB |
Output is correct |
28 |
Correct |
192 ms |
6348 KB |
Output is correct |
29 |
Correct |
224 ms |
2416 KB |
Output is correct |
30 |
Correct |
419 ms |
4508 KB |
Output is correct |
31 |
Correct |
696 ms |
4392 KB |
Output is correct |
32 |
Correct |
455 ms |
4428 KB |
Output is correct |
33 |
Correct |
291 ms |
3288 KB |
Output is correct |
34 |
Correct |
360 ms |
3432 KB |
Output is correct |
35 |
Correct |
451 ms |
3772 KB |
Output is correct |
36 |
Correct |
184 ms |
2464 KB |
Output is correct |
37 |
Correct |
656 ms |
4428 KB |
Output is correct |
38 |
Correct |
232 ms |
2408 KB |
Output is correct |
39 |
Correct |
381 ms |
3664 KB |
Output is correct |
40 |
Correct |
356 ms |
3376 KB |
Output is correct |
41 |
Correct |
44 ms |
9836 KB |
Output is correct |
42 |
Runtime error |
42 ms |
19420 KB |
Execution killed with signal 6 |
43 |
Halted |
0 ms |
0 KB |
- |