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Cod sursa(job #466354)
#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;
}