oj.uz

Submission #898361

# Submission time Handle Problem Language Result Execution time Memory
898361 2024-01-04T14:20:49 Z LucaIlie Festivals in JOI Kingdom 2 (JOI23_festival2) C++17
87 / 100
 9000 ms 1024 KB 
#include <bits/stdc++.h>

#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")

using namespace std;

const int MAX_N = 20000;
const int MAX_FACT = 2 * 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 600 KB Output is correct
2 Correct 1 ms 856 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 600 KB Output is correct
2 Correct 1 ms 856 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 604 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 600 KB Output is correct
2 Correct 1 ms 856 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 688 KB Output is correct
18 Correct 1 ms 604 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 600 KB Output is correct
2 Correct 1 ms 856 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 688 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 5 ms 604 KB Output is correct
20 Correct 5 ms 604 KB Output is correct
21 Correct 5 ms 604 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 604 KB Output is correct

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 600 KB Output is correct
2 Correct 1 ms 856 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 688 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 5 ms 604 KB Output is correct
20 Correct 5 ms 604 KB Output is correct
21 Correct 5 ms 604 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 604 KB Output is correct
24 Correct 466 ms 760 KB Output is correct
25 Correct 465 ms 760 KB Output is correct
26 Correct 465 ms 604 KB Output is correct
27 Correct 6 ms 604 KB Output is correct
28 Correct 80 ms 764 KB Output is correct
29 Correct 67 ms 740 KB Output is correct

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 600 KB Output is correct
2 Correct 1 ms 856 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 688 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 5 ms 604 KB Output is correct
20 Correct 5 ms 604 KB Output is correct
21 Correct 5 ms 604 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 604 KB Output is correct
24 Correct 466 ms 760 KB Output is correct
25 Correct 465 ms 760 KB Output is correct
26 Correct 465 ms 604 KB Output is correct
27 Correct 6 ms 604 KB Output is correct
28 Correct 80 ms 764 KB Output is correct
29 Correct 67 ms 740 KB Output is correct
30 Execution timed out 9024 ms 1024 KB Time limit exceeded
31 Halted 0 ms 0 KB -