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Submission #898349

# Submission time Handle Problem Language Result Execution time Memory
898349 2024-01-04T14:13:34 Z LucaIlie Festivals in JOI Kingdom 2 (JOI23_festival2) C++17
87 / 100
 9000 ms 1192 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 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++ ) {
        for ( int k = 0; i - k - 1 >= 1; k++ ) {
            //B<--B
            countB[i] = (countB[i] + (long long)countB[i - k - 2] * ((k + 2) * (k + 1) / 2 % mod) % mod * prodCons( 2 * (i - k - 2) - 2, k ) % mod * 2 % mod) % mod;
            //B<--BU
            countB[i] = (countB[i] + (long long)countBU[i - k - 2] * (k + 1) % mod * prodCons( 2 * (i - k - 2) - 1, k ) % mod) % mod;
            //BU<--B
            countBU[i] = (countBU[i] + (long long)countB[i - k - 1] * (k + 1) % mod * prodCons( 2 * (i - k - 1) - 2, k ) % mod) % mod;
            //BU<--BU
            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;
    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 856 KB Output is correct
2 Correct 1 ms 860 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 1 ms 860 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 856 KB Output is correct
2 Correct 1 ms 860 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 1 ms 860 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 896 KB Output is correct
9 Correct 1 ms 860 KB Output is correct
10 Correct 1 ms 856 KB Output is correct
11 Correct 1 ms 860 KB Output is correct
12 Correct 1 ms 860 KB Output is correct
13 Correct 1 ms 860 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 856 KB Output is correct
2 Correct 1 ms 860 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 1 ms 860 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 896 KB Output is correct
9 Correct 1 ms 860 KB Output is correct
10 Correct 1 ms 856 KB Output is correct
11 Correct 1 ms 860 KB Output is correct
12 Correct 1 ms 860 KB Output is correct
13 Correct 1 ms 860 KB Output is correct
14 Correct 1 ms 860 KB Output is correct
15 Correct 1 ms 860 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 800 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 856 KB Output is correct
2 Correct 1 ms 860 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 1 ms 860 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 896 KB Output is correct
9 Correct 1 ms 860 KB Output is correct
10 Correct 1 ms 856 KB Output is correct
11 Correct 1 ms 860 KB Output is correct
12 Correct 1 ms 860 KB Output is correct
13 Correct 1 ms 860 KB Output is correct
14 Correct 1 ms 860 KB Output is correct
15 Correct 1 ms 860 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 800 KB Output is correct
19 Correct 6 ms 860 KB Output is correct
20 Correct 6 ms 1116 KB Output is correct
21 Correct 6 ms 860 KB Output is correct
22 Correct 1 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 856 KB Output is correct
2 Correct 1 ms 860 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 1 ms 860 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 896 KB Output is correct
9 Correct 1 ms 860 KB Output is correct
10 Correct 1 ms 856 KB Output is correct
11 Correct 1 ms 860 KB Output is correct
12 Correct 1 ms 860 KB Output is correct
13 Correct 1 ms 860 KB Output is correct
14 Correct 1 ms 860 KB Output is correct
15 Correct 1 ms 860 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 800 KB Output is correct
19 Correct 6 ms 860 KB Output is correct
20 Correct 6 ms 1116 KB Output is correct
21 Correct 6 ms 860 KB Output is correct
22 Correct 1 ms 860 KB Output is correct
23 Correct 2 ms 860 KB Output is correct
24 Correct 493 ms 856 KB Output is correct
25 Correct 490 ms 1116 KB Output is correct
26 Correct 491 ms 1108 KB Output is correct
27 Correct 7 ms 856 KB Output is correct
28 Correct 84 ms 892 KB Output is correct
29 Correct 68 ms 860 KB Output is correct

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 856 KB Output is correct
2 Correct 1 ms 860 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 1 ms 860 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 896 KB Output is correct
9 Correct 1 ms 860 KB Output is correct
10 Correct 1 ms 856 KB Output is correct
11 Correct 1 ms 860 KB Output is correct
12 Correct 1 ms 860 KB Output is correct
13 Correct 1 ms 860 KB Output is correct
14 Correct 1 ms 860 KB Output is correct
15 Correct 1 ms 860 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 800 KB Output is correct
19 Correct 6 ms 860 KB Output is correct
20 Correct 6 ms 1116 KB Output is correct
21 Correct 6 ms 860 KB Output is correct
22 Correct 1 ms 860 KB Output is correct
23 Correct 2 ms 860 KB Output is correct
24 Correct 493 ms 856 KB Output is correct
25 Correct 490 ms 1116 KB Output is correct
26 Correct 491 ms 1108 KB Output is correct
27 Correct 7 ms 856 KB Output is correct
28 Correct 84 ms 892 KB Output is correct
29 Correct 68 ms 860 KB Output is correct
30 Execution timed out 9011 ms 1192 KB Time limit exceeded
31 Halted 0 ms 0 KB -