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Submission #898281

# Submission time Handle Problem Language Result Execution time Memory
898281 2024-01-04T12:34:43 Z LucaIlie Festivals in JOI Kingdom 2 (JOI23_festival2) C++17
87 / 100
 3866 ms 748 KB 
#include <bits/stdc++.h>

using namespace std;

const int MAX_N = 3000;
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 comb( int n, int k ) {
    return (long long)fact[n] * invFact[n - k] % mod * invFact[k] % 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++ ) {
        //B<--B 1
        for ( int k = 0; i - k - 2 >= 1; k++ )
            countB[i] = (countB[i] + (long long)countB[i - k - 2] * comb( k + 2, 2 ) % mod * prodCons( 2 * (i - k - 2) - 2, k ) % mod) % mod;

        //B<--B 2
        for ( int k = 0; i - k - 2 >= 1; k++ )
            countB[i] = (countB[i] + (long long)countB[i - k - 2] * comb( k + 2, 2 ) % mod * prodCons( 2 * (i - k - 2) - 2, k ) % mod) % mod;

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

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

        //BU<--BU
        for ( int k = 0; i - k - 1 >= 1; k++ )
            countBU[i] = (countBU[i] + (long long)countBU[i - k - 1] * prodCons( 2 * (i - k - 1) - 1, k ) % mod) % mod;
    }

    int tot = 1;
    for ( int i = 3; i < 2 * n; i += 2 )
        tot = (long long)tot * i % mod;

    int correct = 0;
    for ( int i = 1; i <= n; i++ ) {
        int k = n - i;
        correct = (correct + (long long)countB[i] * (k + 1) % mod * prodCons( 2 * i - 2, k ) % mod) % mod;
        correct = (correct + (long long)countBU[i] * prodCons( 2 * i - 1, k ) % mod) % mod;
    }

    cout << (tot - correct + mod) % mod;

    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 7 ms 348 KB Output is correct
20 Correct 7 ms 348 KB Output is correct
21 Correct 7 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 7 ms 348 KB Output is correct
20 Correct 7 ms 348 KB Output is correct
21 Correct 7 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 713 ms 500 KB Output is correct
25 Correct 710 ms 500 KB Output is correct
26 Correct 711 ms 748 KB Output is correct
27 Correct 8 ms 348 KB Output is correct
28 Correct 120 ms 488 KB Output is correct
29 Correct 98 ms 492 KB Output is correct

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 7 ms 348 KB Output is correct
20 Correct 7 ms 348 KB Output is correct
21 Correct 7 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 713 ms 500 KB Output is correct
25 Correct 710 ms 500 KB Output is correct
26 Correct 711 ms 748 KB Output is correct
27 Correct 8 ms 348 KB Output is correct
28 Correct 120 ms 488 KB Output is correct
29 Correct 98 ms 492 KB Output is correct
30 Runtime error 3866 ms 504 KB Execution killed with signal 11
31 Halted 0 ms 0 KB -