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Submission #859498

# Submission time Handle Problem Language Result Execution time Memory
859498 2023-10-10T08:56:58 Z lucri NoM (RMI21_nom) C++17
34 / 100
 500 ms 6556 KB 
#include <bits/stdc++.h>
#define MOD 1000000007
using namespace std;
long long n,m,d[2010][2010],r[2010],fact[4010],ans;
void factorial()
{
    fact[0]=1;
    for(int i=1;i<=4000;++i)
        fact[i]=(fact[i-1]*i)%MOD;
}
long long putere(long long a,long long b)
{
    if(b==0)
        return 1;
    long long m=putere(a,b/2);
    m*=m;
    m%=MOD;
    if(b%2)
    {
        m*=a;
        m%=MOD;
    }
    return m;
}
long long combinari(long long n,long long m)
{
    long long ans=fact[n];
    ans*=putere(fact[m],MOD-2);
    ans%=MOD;
    ans*=putere(fact[n-m],MOD-2);
    ans%=MOD;
    return ans;
}
long long aranjamente(long long n,long long m)
{
    long long ans=fact[n];
    ans*=putere(fact[n-m],MOD-2);
    ans%=MOD;
    return ans;
}
int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    factorial();
    cin>>n>>m;
    d[0][0]=1;
    for(int i=1;i<=2*n;++i)
        ++r[i%m];
    r[m]=r[0];
    for(int j=0;j<=n;++j)
        for(int i=1;i<=m;++i)
            for(int k=0;2*k<=r[i]&&k<=j;++k)
            {
                d[i][j]+=combinari(j,k)*aranjamente(r[i],2*k)%MOD*d[i-1][j-k]%MOD;
                if(d[i][j]>=MOD)
                    d[i][j]-=MOD;
            }
    for(int i=1;i<=n;++i)
    {
        ans+=((i-1)%2*2-1)*d[m][i]%MOD*fact[2*n-2*i]%MOD*combinari(n,i)%MOD;
        if(ans>=MOD)
            ans-=MOD;
        if(ans<0)
            ans+=MOD;
    }
    ans+=fact[2*n];
    if(ans>=MOD)
        ans-=MOD;
    cout<<ans;
    return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 496 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 496 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 9 ms 604 KB Output is correct
12 Correct 5 ms 732 KB Output is correct
13 Correct 3 ms 348 KB Output is correct
14 Correct 4 ms 856 KB Output is correct
15 Correct 6 ms 768 KB Output is correct
16 Correct 5 ms 348 KB Output is correct
17 Correct 4 ms 604 KB Output is correct
18 Correct 4 ms 496 KB Output is correct
19 Correct 4 ms 348 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 496 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 9 ms 604 KB Output is correct
12 Correct 5 ms 732 KB Output is correct
13 Correct 3 ms 348 KB Output is correct
14 Correct 4 ms 856 KB Output is correct
15 Correct 6 ms 768 KB Output is correct
16 Correct 5 ms 348 KB Output is correct
17 Correct 4 ms 604 KB Output is correct
18 Correct 4 ms 496 KB Output is correct
19 Correct 4 ms 348 KB Output is correct
20 Correct 17 ms 604 KB Output is correct
21 Correct 20 ms 856 KB Output is correct
22 Correct 79 ms 1932 KB Output is correct
23 Correct 36 ms 620 KB Output is correct
24 Correct 72 ms 1364 KB Output is correct
25 Correct 74 ms 1892 KB Output is correct
26 Correct 39 ms 348 KB Output is correct
27 Correct 104 ms 2284 KB Output is correct

Subtask #4
0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 496 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 9 ms 604 KB Output is correct
12 Correct 5 ms 732 KB Output is correct
13 Correct 3 ms 348 KB Output is correct
14 Correct 4 ms 856 KB Output is correct
15 Correct 6 ms 768 KB Output is correct
16 Correct 5 ms 348 KB Output is correct
17 Correct 4 ms 604 KB Output is correct
18 Correct 4 ms 496 KB Output is correct
19 Correct 4 ms 348 KB Output is correct
20 Correct 17 ms 604 KB Output is correct
21 Correct 20 ms 856 KB Output is correct
22 Correct 79 ms 1932 KB Output is correct
23 Correct 36 ms 620 KB Output is correct
24 Correct 72 ms 1364 KB Output is correct
25 Correct 74 ms 1892 KB Output is correct
26 Correct 39 ms 348 KB Output is correct
27 Correct 104 ms 2284 KB Output is correct
28 Correct 221 ms 1104 KB Output is correct
29 Correct 366 ms 3316 KB Output is correct
30 Correct 438 ms 5916 KB Output is correct
31 Correct 226 ms 596 KB Output is correct
32 Correct 404 ms 3704 KB Output is correct
33 Execution timed out 529 ms 6556 KB Time limit exceeded
34 Halted 0 ms 0 KB -

Subtask #5
0 / 48.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 496 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 9 ms 604 KB Output is correct
12 Correct 5 ms 732 KB Output is correct
13 Correct 3 ms 348 KB Output is correct
14 Correct 4 ms 856 KB Output is correct
15 Correct 6 ms 768 KB Output is correct
16 Correct 5 ms 348 KB Output is correct
17 Correct 4 ms 604 KB Output is correct
18 Correct 4 ms 496 KB Output is correct
19 Correct 4 ms 348 KB Output is correct
20 Correct 17 ms 604 KB Output is correct
21 Correct 20 ms 856 KB Output is correct
22 Correct 79 ms 1932 KB Output is correct
23 Correct 36 ms 620 KB Output is correct
24 Correct 72 ms 1364 KB Output is correct
25 Correct 74 ms 1892 KB Output is correct
26 Correct 39 ms 348 KB Output is correct
27 Correct 104 ms 2284 KB Output is correct
28 Correct 221 ms 1104 KB Output is correct
29 Correct 366 ms 3316 KB Output is correct
30 Correct 438 ms 5916 KB Output is correct
31 Correct 226 ms 596 KB Output is correct
32 Correct 404 ms 3704 KB Output is correct
33 Execution timed out 529 ms 6556 KB Time limit exceeded
34 Halted 0 ms 0 KB -