#include<bits/stdc++.h>
#define int long long
#define TASKNAME "snake"
#define FOR(i, a, b) for(int i = a; i <= b; i++)
#define FORD(i, a, b) for(int i = a; i >= b; i--)
#define fi first
#define fast ios_base::sync_with_stdio(NULL), cin.tie(NULL), cout.tie(NULL)
#define se second
#define pb push_back
#define MASK(i) (1LL << i) //2^i
#define BIT(x, i) (((x) >> (i))&1) //lay bit thu i cua i
using namespace std;
typedef pair<int, int> ii;
/**
Cho n = 2^L - 1 va q truy van:
Voi truy van thu i. Ta duoc 1 chuoi str gom ?, 0, 1:
1 mask goi la khop neu khi ta so tung vi tri thi str[i] bang '?' hoac mask[i] == str[i].
subtask 1: L <= 10, n <= 1000.
subtask 2: L <= 13.
subtask 3: L <= 15
subtask 4: Q <= 50000
subtask 5: L <= 20, Q <= 1000000
Gọi X là số dấu ?
Nếu X <= 10 thì ta bruteforce.
Nếu X > 10 thì ta sẽ có tối đa 9 số. Thì ta sẽ dùng bao hàm bù trừ kết hợp dp SOS để tính nhanh.
**/
const int MAX = MASK(20);
int dp[MAX], val[MAX];
char query[21];
int lengthBit;
int numQuery;
namespace subtask5{
bool check(){
return true;
}
vector<int> hidden;
vector<int> number;
int ans = 0, mask1 = 0, mask2 = 0;
void bruteforce(int pos){
if (pos == hidden.size()){
ans += val[mask1];
return;
}
bruteforce(pos + 1);
mask1 ^= (1LL << hidden[pos]);
bruteforce(pos + 1);
mask1 ^= (1LL << hidden[pos]);
}
void calc2(int pos, int val){
if (pos == number.size()){
ans += dp[mask2] * ((val&1) ? (-1) : (1));
return;
}
calc2(pos + 1, val + 1);
mask2 ^= (1LL << number[pos]);
calc2(pos + 1, val);
mask2 ^= (1LL << number[pos]);
}
void solve(){
FOR(i, 0, numQuery - 1){
mask1 = 0, mask2 = 0, ans = 0;
FORD(j, lengthBit - 1, 0){
cin >> query[j];
if (query[j] == '?') hidden.pb(j), mask2 ^= (1LL << j);
else if (query[j] == '1') number.pb(j), mask1 ^= (1 << j);
}
if (hidden.size() <= lengthBit / 2){
bruteforce(0);
printf("%lld\n", ans);
}
else {
calc2(0, 0);
printf("%lld\n", ans);
}
number.clear();
hidden.clear();
}
}
}
main(){
fast;
if (fopen(TASKNAME".inp","r")){
freopen(TASKNAME".inp","r",stdin);
freopen(TASKNAME".out","w",stdout);
}
cin >> lengthBit >> numQuery;
FOR(i, 0, MASK(lengthBit) - 1){
char c;
cin >> c;
val[i] = (c - '0');
dp[i] += (c - '0');
}
FOR(j, 0, lengthBit - 1){
FOR(i, 0, MASK(lengthBit) - 1){
if (i & (1 << j)) dp[i] += dp[i ^ (1 << j)];
}
}
// FOR(i, 0, MASK(lengthBit) - 1) printf("%lld\n", dp[i]);
if (subtask5::check()) return subtask5::solve(), 0;
}
Compilation message
snake_escaping.cpp: In function 'void subtask5::bruteforce(long long int)':
snake_escaping.cpp:45:17: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
45 | if (pos == hidden.size()){
| ~~~~^~~~~~~~~~~~~~~~
snake_escaping.cpp: In function 'void subtask5::calc2(long long int, long long int)':
snake_escaping.cpp:58:17: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
58 | if (pos == number.size()){
| ~~~~^~~~~~~~~~~~~~~~
snake_escaping.cpp: In function 'void subtask5::solve()':
snake_escaping.cpp:77:31: warning: comparison of integer expressions of different signedness: 'std::vector<long long int>::size_type' {aka 'long unsigned int'} and 'long long int' [-Wsign-compare]
77 | if (hidden.size() <= lengthBit / 2){
| ~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~
snake_escaping.cpp: At global scope:
snake_escaping.cpp:90:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
90 | main(){
| ^~~~
snake_escaping.cpp: In function 'int main()':
snake_escaping.cpp:93:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
93 | freopen(TASKNAME".inp","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
snake_escaping.cpp:94:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
94 | freopen(TASKNAME".out","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
347 ms |
6480 KB |
Output is correct |
12 |
Correct |
267 ms |
5968 KB |
Output is correct |
13 |
Correct |
250 ms |
5456 KB |
Output is correct |
14 |
Correct |
278 ms |
5308 KB |
Output is correct |
15 |
Correct |
244 ms |
6488 KB |
Output is correct |
16 |
Correct |
293 ms |
5456 KB |
Output is correct |
17 |
Correct |
299 ms |
5460 KB |
Output is correct |
18 |
Correct |
142 ms |
14080 KB |
Output is correct |
19 |
Correct |
202 ms |
15124 KB |
Output is correct |
20 |
Correct |
306 ms |
16720 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
347 ms |
6480 KB |
Output is correct |
12 |
Correct |
267 ms |
5968 KB |
Output is correct |
13 |
Correct |
250 ms |
5456 KB |
Output is correct |
14 |
Correct |
278 ms |
5308 KB |
Output is correct |
15 |
Correct |
244 ms |
6488 KB |
Output is correct |
16 |
Correct |
293 ms |
5456 KB |
Output is correct |
17 |
Correct |
299 ms |
5460 KB |
Output is correct |
18 |
Correct |
142 ms |
14080 KB |
Output is correct |
19 |
Correct |
202 ms |
15124 KB |
Output is correct |
20 |
Correct |
306 ms |
16720 KB |
Output is correct |
21 |
Correct |
598 ms |
20144 KB |
Output is correct |
22 |
Correct |
378 ms |
20204 KB |
Output is correct |
23 |
Correct |
362 ms |
19244 KB |
Output is correct |
24 |
Correct |
360 ms |
19284 KB |
Output is correct |
25 |
Correct |
321 ms |
21244 KB |
Output is correct |
26 |
Correct |
435 ms |
19792 KB |
Output is correct |
27 |
Correct |
413 ms |
19524 KB |
Output is correct |
28 |
Correct |
170 ms |
22092 KB |
Output is correct |
29 |
Correct |
272 ms |
18256 KB |
Output is correct |
30 |
Correct |
479 ms |
20304 KB |
Output is correct |
31 |
Correct |
601 ms |
20052 KB |
Output is correct |
32 |
Correct |
464 ms |
20048 KB |
Output is correct |
33 |
Correct |
348 ms |
19028 KB |
Output is correct |
34 |
Correct |
401 ms |
19280 KB |
Output is correct |
35 |
Correct |
419 ms |
19520 KB |
Output is correct |
36 |
Correct |
175 ms |
18176 KB |
Output is correct |
37 |
Correct |
551 ms |
20052 KB |
Output is correct |
38 |
Correct |
289 ms |
18256 KB |
Output is correct |
39 |
Correct |
377 ms |
19256 KB |
Output is correct |
40 |
Correct |
375 ms |
19228 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
386 ms |
16892 KB |
Output is correct |
12 |
Correct |
144 ms |
17232 KB |
Output is correct |
13 |
Correct |
64 ms |
16900 KB |
Output is correct |
14 |
Correct |
93 ms |
16980 KB |
Output is correct |
15 |
Correct |
45 ms |
16980 KB |
Output is correct |
16 |
Correct |
128 ms |
16864 KB |
Output is correct |
17 |
Correct |
116 ms |
16872 KB |
Output is correct |
18 |
Correct |
35 ms |
17232 KB |
Output is correct |
19 |
Correct |
54 ms |
16916 KB |
Output is correct |
20 |
Correct |
183 ms |
16880 KB |
Output is correct |
21 |
Correct |
382 ms |
17008 KB |
Output is correct |
22 |
Correct |
94 ms |
16976 KB |
Output is correct |
23 |
Correct |
61 ms |
16980 KB |
Output is correct |
24 |
Correct |
72 ms |
16976 KB |
Output is correct |
25 |
Correct |
113 ms |
16960 KB |
Output is correct |
26 |
Correct |
33 ms |
16784 KB |
Output is correct |
27 |
Correct |
366 ms |
16880 KB |
Output is correct |
28 |
Correct |
46 ms |
16884 KB |
Output is correct |
29 |
Correct |
68 ms |
16976 KB |
Output is correct |
30 |
Correct |
78 ms |
16888 KB |
Output is correct |
31 |
Correct |
45 ms |
16984 KB |
Output is correct |
32 |
Correct |
126 ms |
16980 KB |
Output is correct |
33 |
Correct |
118 ms |
16892 KB |
Output is correct |
34 |
Correct |
45 ms |
16872 KB |
Output is correct |
35 |
Correct |
122 ms |
16980 KB |
Output is correct |
36 |
Correct |
122 ms |
16976 KB |
Output is correct |
37 |
Correct |
123 ms |
16864 KB |
Output is correct |
38 |
Correct |
122 ms |
16976 KB |
Output is correct |
39 |
Correct |
124 ms |
16940 KB |
Output is correct |
40 |
Correct |
139 ms |
16976 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
347 ms |
6480 KB |
Output is correct |
12 |
Correct |
267 ms |
5968 KB |
Output is correct |
13 |
Correct |
250 ms |
5456 KB |
Output is correct |
14 |
Correct |
278 ms |
5308 KB |
Output is correct |
15 |
Correct |
244 ms |
6488 KB |
Output is correct |
16 |
Correct |
293 ms |
5456 KB |
Output is correct |
17 |
Correct |
299 ms |
5460 KB |
Output is correct |
18 |
Correct |
142 ms |
14080 KB |
Output is correct |
19 |
Correct |
202 ms |
15124 KB |
Output is correct |
20 |
Correct |
306 ms |
16720 KB |
Output is correct |
21 |
Correct |
598 ms |
20144 KB |
Output is correct |
22 |
Correct |
378 ms |
20204 KB |
Output is correct |
23 |
Correct |
362 ms |
19244 KB |
Output is correct |
24 |
Correct |
360 ms |
19284 KB |
Output is correct |
25 |
Correct |
321 ms |
21244 KB |
Output is correct |
26 |
Correct |
435 ms |
19792 KB |
Output is correct |
27 |
Correct |
413 ms |
19524 KB |
Output is correct |
28 |
Correct |
170 ms |
22092 KB |
Output is correct |
29 |
Correct |
272 ms |
18256 KB |
Output is correct |
30 |
Correct |
479 ms |
20304 KB |
Output is correct |
31 |
Correct |
601 ms |
20052 KB |
Output is correct |
32 |
Correct |
464 ms |
20048 KB |
Output is correct |
33 |
Correct |
348 ms |
19028 KB |
Output is correct |
34 |
Correct |
401 ms |
19280 KB |
Output is correct |
35 |
Correct |
419 ms |
19520 KB |
Output is correct |
36 |
Correct |
175 ms |
18176 KB |
Output is correct |
37 |
Correct |
551 ms |
20052 KB |
Output is correct |
38 |
Correct |
289 ms |
18256 KB |
Output is correct |
39 |
Correct |
377 ms |
19256 KB |
Output is correct |
40 |
Correct |
375 ms |
19228 KB |
Output is correct |
41 |
Correct |
386 ms |
16892 KB |
Output is correct |
42 |
Correct |
144 ms |
17232 KB |
Output is correct |
43 |
Correct |
64 ms |
16900 KB |
Output is correct |
44 |
Correct |
93 ms |
16980 KB |
Output is correct |
45 |
Correct |
45 ms |
16980 KB |
Output is correct |
46 |
Correct |
128 ms |
16864 KB |
Output is correct |
47 |
Correct |
116 ms |
16872 KB |
Output is correct |
48 |
Correct |
35 ms |
17232 KB |
Output is correct |
49 |
Correct |
54 ms |
16916 KB |
Output is correct |
50 |
Correct |
183 ms |
16880 KB |
Output is correct |
51 |
Correct |
382 ms |
17008 KB |
Output is correct |
52 |
Correct |
94 ms |
16976 KB |
Output is correct |
53 |
Correct |
61 ms |
16980 KB |
Output is correct |
54 |
Correct |
72 ms |
16976 KB |
Output is correct |
55 |
Correct |
113 ms |
16960 KB |
Output is correct |
56 |
Correct |
33 ms |
16784 KB |
Output is correct |
57 |
Correct |
366 ms |
16880 KB |
Output is correct |
58 |
Correct |
46 ms |
16884 KB |
Output is correct |
59 |
Correct |
68 ms |
16976 KB |
Output is correct |
60 |
Correct |
78 ms |
16888 KB |
Output is correct |
61 |
Correct |
45 ms |
16984 KB |
Output is correct |
62 |
Correct |
126 ms |
16980 KB |
Output is correct |
63 |
Correct |
118 ms |
16892 KB |
Output is correct |
64 |
Correct |
45 ms |
16872 KB |
Output is correct |
65 |
Correct |
122 ms |
16980 KB |
Output is correct |
66 |
Correct |
122 ms |
16976 KB |
Output is correct |
67 |
Correct |
123 ms |
16864 KB |
Output is correct |
68 |
Correct |
122 ms |
16976 KB |
Output is correct |
69 |
Correct |
124 ms |
16940 KB |
Output is correct |
70 |
Correct |
139 ms |
16976 KB |
Output is correct |
71 |
Execution timed out |
2004 ms |
25204 KB |
Time limit exceeded |
72 |
Halted |
0 ms |
0 KB |
- |