Submission #1073514

#	Time	Username	Problem	Language	Result	Execution time	Memory
1073514		Requiem	Snake Escaping (JOI18_snake_escaping)	C++17	75 / 100	2004 ms	25204 KiB

snake_escaping

#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 (stderr)

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);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~

• Subtask 1: 5 / 5
• Subtask 2: 7 / 7
• Subtask 3: 10 / 10
• Subtask 4: 53 / 53
• Subtask 5: 0 / 25