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Submission #898355

# Submission time Handle Problem Language Result Execution time Memory
898355 2024-01-04T14:18:41 Z LucaIlie Festivals in JOI Kingdom 2 (JOI23_festival2) C++17
87 / 100
 9000 ms 1488 KB 
#include <bits/stdc++.h>

using namespace std;

const int MAX_N = 20000;
const int MAX_FACT = 3 * MAX_N;
int mod;
int fact[MAX_FACT + 1], invFact[MAX_FACT + 1], countB[MAX_N + 1], countBU[MAX_N + 1];

int lgPut( int x, int n ) {
    if ( n == 0 )
        return 1;

    int p = lgPut( x, n / 2 );
    p = (long long)p * p % mod;
    if ( n % 2 == 1 )
        p = (long long)p * x % mod;

    return p;
}

void initFact( int n ) {
    fact[0] = 1;
    for ( int i = 1; i <= n; i++ )
        fact[i] = (long long)fact[i - 1] * i % mod;
    invFact[n] = lgPut( fact[n], mod - 2 );
    for ( int i = n - 1; i >= 0; i-- )
        invFact[i] = (long long)invFact[i + 1] * (i + 1) % mod;
}


int prodCons( int x, int k ) {
    if ( x < 0 )
        return 1;
    if ( x == 0 )
        return fact[x + k - 1];
    return (long long)fact[x + k - 1] * invFact[x - 1] % mod;
}

int main() {
    int n;

    cin >> n >> mod;

    initFact( MAX_FACT );

    countB[1] = 0, countBU[1] = 1;
    countB[2] = 1, countBU[2] = 1;
    for ( int i = 3; i <= n; i++ ) {
        for ( int k = 0; i - k - 1 >= 1; k++ ) {
            //B<--B
            countB[i] += (long long)countB[i - k - 2] * ((k + 2) * (k + 1) / 2 % mod) % mod * prodCons( 2 * (i - k - 2) - 2, k ) * 2 % mod;
            countB[i] = (countB[i] >= mod ? countB[i] - mod : countB[i]);
            //B<--BU
            countB[i] += (long long)countBU[i - k - 2] * (k + 1) % mod * prodCons( 2 * (i - k - 2) - 1, k ) % mod;
            countB[i] = (countB[i] >= mod ? countB[i] - mod : countB[i]);
            //BU<--B
            countBU[i] += (long long)countB[i - k - 1] * (k + 1) % mod * prodCons( 2 * (i - k - 1) - 2, k ) % mod;
            countBU[i] = (countBU[i] >= mod ? countBU[i] - mod : countBU[i]);
            //BU<--BU
            countBU[i] += (long long)countBU[i - k - 1] * prodCons( 2 * (i - k - 1) - 1, k ) % mod;
            countBU[i] = (countBU[i] >= mod ? countBU[i] - mod : countBU[i]);
        }
    }

    int tot = 1;
    for ( int i = 3; i < 2 * n; i += 2 )
        tot = (long long)tot * i % mod;
    for ( int i = 1; i <= n; i++ ) {
        int k = n - i;
        tot = (tot - (long long)countB[i] * (k + 1) % mod * prodCons( 2 * i - 2, k ) % mod + mod) % mod;
        tot = (tot - (long long)countBU[i] * prodCons( 2 * i - 1, k ) % mod + mod) % mod;
    }

    cout << tot;

    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 860 KB Output is correct
2 Correct 1 ms 688 KB Output is correct
3 Correct 1 ms 700 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 2 ms 880 KB Output is correct
6 Correct 1 ms 860 KB Output is correct
7 Correct 1 ms 860 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 860 KB Output is correct
2 Correct 1 ms 688 KB Output is correct
3 Correct 1 ms 700 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 2 ms 880 KB Output is correct
6 Correct 1 ms 860 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 860 KB Output is correct
10 Correct 1 ms 860 KB Output is correct
11 Correct 2 ms 700 KB Output is correct
12 Correct 2 ms 860 KB Output is correct
13 Correct 2 ms 700 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 860 KB Output is correct
2 Correct 1 ms 688 KB Output is correct
3 Correct 1 ms 700 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 2 ms 880 KB Output is correct
6 Correct 1 ms 860 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 860 KB Output is correct
10 Correct 1 ms 860 KB Output is correct
11 Correct 2 ms 700 KB Output is correct
12 Correct 2 ms 860 KB Output is correct
13 Correct 2 ms 700 KB Output is correct
14 Correct 2 ms 856 KB Output is correct
15 Correct 1 ms 848 KB Output is correct
16 Correct 1 ms 860 KB Output is correct
17 Correct 1 ms 860 KB Output is correct
18 Correct 1 ms 860 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 860 KB Output is correct
2 Correct 1 ms 688 KB Output is correct
3 Correct 1 ms 700 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 2 ms 880 KB Output is correct
6 Correct 1 ms 860 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 860 KB Output is correct
10 Correct 1 ms 860 KB Output is correct
11 Correct 2 ms 700 KB Output is correct
12 Correct 2 ms 860 KB Output is correct
13 Correct 2 ms 700 KB Output is correct
14 Correct 2 ms 856 KB Output is correct
15 Correct 1 ms 848 KB Output is correct
16 Correct 1 ms 860 KB Output is correct
17 Correct 1 ms 860 KB Output is correct
18 Correct 1 ms 860 KB Output is correct
19 Correct 6 ms 860 KB Output is correct
20 Correct 6 ms 920 KB Output is correct
21 Correct 6 ms 920 KB Output is correct
22 Correct 2 ms 860 KB Output is correct
23 Correct 2 ms 860 KB Output is correct

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 860 KB Output is correct
2 Correct 1 ms 688 KB Output is correct
3 Correct 1 ms 700 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 2 ms 880 KB Output is correct
6 Correct 1 ms 860 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 860 KB Output is correct
10 Correct 1 ms 860 KB Output is correct
11 Correct 2 ms 700 KB Output is correct
12 Correct 2 ms 860 KB Output is correct
13 Correct 2 ms 700 KB Output is correct
14 Correct 2 ms 856 KB Output is correct
15 Correct 1 ms 848 KB Output is correct
16 Correct 1 ms 860 KB Output is correct
17 Correct 1 ms 860 KB Output is correct
18 Correct 1 ms 860 KB Output is correct
19 Correct 6 ms 860 KB Output is correct
20 Correct 6 ms 920 KB Output is correct
21 Correct 6 ms 920 KB Output is correct
22 Correct 2 ms 860 KB Output is correct
23 Correct 2 ms 860 KB Output is correct
24 Correct 463 ms 912 KB Output is correct
25 Correct 462 ms 856 KB Output is correct
26 Correct 462 ms 904 KB Output is correct
27 Correct 7 ms 860 KB Output is correct
28 Correct 79 ms 920 KB Output is correct
29 Correct 64 ms 900 KB Output is correct

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 860 KB Output is correct
2 Correct 1 ms 688 KB Output is correct
3 Correct 1 ms 700 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 2 ms 880 KB Output is correct
6 Correct 1 ms 860 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 860 KB Output is correct
10 Correct 1 ms 860 KB Output is correct
11 Correct 2 ms 700 KB Output is correct
12 Correct 2 ms 860 KB Output is correct
13 Correct 2 ms 700 KB Output is correct
14 Correct 2 ms 856 KB Output is correct
15 Correct 1 ms 848 KB Output is correct
16 Correct 1 ms 860 KB Output is correct
17 Correct 1 ms 860 KB Output is correct
18 Correct 1 ms 860 KB Output is correct
19 Correct 6 ms 860 KB Output is correct
20 Correct 6 ms 920 KB Output is correct
21 Correct 6 ms 920 KB Output is correct
22 Correct 2 ms 860 KB Output is correct
23 Correct 2 ms 860 KB Output is correct
24 Correct 463 ms 912 KB Output is correct
25 Correct 462 ms 856 KB Output is correct
26 Correct 462 ms 904 KB Output is correct
27 Correct 7 ms 860 KB Output is correct
28 Correct 79 ms 920 KB Output is correct
29 Correct 64 ms 900 KB Output is correct
30 Execution timed out 9036 ms 1488 KB Time limit exceeded
31 Halted 0 ms 0 KB -