Cod sursa(job #466354)

Utilizator marius21Petcu Marius marius21 Data 26 iunie 2010 13:13:57
Problema Permutari2 Scor 10
Compilator cpp Status done
Runda Stelele Informaticii 2010, gimnaziu si clasa a IX-a, Ziua 2 Marime 1.68 kb
#include <cstdio>
#include <cstring>

FILE *fin=fopen("permutari2.in","r");
FILE *fout=fopen("permutari2.out","w");

int n,k;

#define BACK
#define MODNR 10007

#ifndef BACK
int c[301][301];
long long fact[301];
#else

int st[301];
bool bif[301];
int count=0;

void back(int kk)
{
    if (kk==n+1)
    {
        int nr=0;
        for (int i=1; i<=n; i++)
        {
            bool ok=true;
            for (int j=1; j<=i; j++)
                if (st[j]>i)
                {
                    ok=false;
                    break;
                }
            if (ok)
                nr++;
        }
        if (nr==k)
        {
            count++;
            count%=MODNR;
        }
        return;
    }

    for (int i=1; i<=n; i++)
        if (!bif[i])
        {
            bif[i]=1;
            st[kk]=i;
            back(kk+1);
            bif[i]=0;
        }
}

#endif


int main()
{
    fscanf(fin,"%d %d",&n,&k);
    #ifndef BACK
    fact[0]=1;
    for (int i=1; i<=n; i++)
        fact[i]=(fact[i-1]*i)%MODNR;
    for (int i=1; i<=n; i++)
    {
        c[1][i]=fact[i-1];
        for (int j=1; j<=i-2; j++)
        {
            c[1][i]+=((fact[i-2]*j)%MODNR)*(i-1-j);
            c[1][i]%=MODNR;
        }
    }
    for (int i=2; i<=k; i++)
        for (int j=1; j<=n; j++)
        {
            c[i][j]=0;
            for (int k=1; k<j; k++)
            {
                c[i][j]=(c[i][j]+c[i-1][k]*c[1][j-k])%MODNR;
            }
        }
    fprintf(fout,"%d\n",c[k][n]);
    #else
   // for (int i=1; i<=300; i++)
    //{
      //  n=i;
       // k=1;
    memset(bif,0,sizeof(bool)*n);
    back(1);
    fprintf(fout,"%d\n",count);
 ///   }
    #endif
    fclose(fin);
    fclose(fout);
    return 0;
}