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Cod sursa(job #466808)
#include <cstdio>
#include <cstring>
FILE *fin=fopen("permutari2.in","r");
FILE *fout=fopen("permutari2.out","w");
int n,k;
//#define BACK
//#define DEBUG
#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 j=1; j<=n; j++)
{
int tmp=0;
for (int i=2; i<=j; i++)
{
c[j][i]=0;
for (int k=1; k<j; k++)
{
c[j][i]+=c[k][i-1]*c[j-k][1];
c[j][i]%=MODNR;
}
tmp+=c[j][i];
tmp%=MODNR;
}
c[j][1]=(fact[j]-tmp+MODNR)%MODNR;
}
#ifdef DEBUG
for (int i=1; i<=k; i++)
{
for (int j=1; j<=n; j++)
fprintf(fout, "%.4d ",c[j][i]);
fputc('\n', fout);
}
#endif
fprintf(fout,"%d\n",c[n][k]);
#else
#ifdef DEBUG
int kk=k;
int nn=n;
for (int i=1; i<=kk; i++)
{
for (int j=1; j<=nn; j++)
{
n=j;
k=i;
memset(bif,0,sizeof(bool)*n);
back(1);
fprintf(fout, "%.4d ",count);
count=0;
}
fputc('\n',fout);
}
#endif
memset(bif,0,sizeof(bool)*n);
back(1);
fprintf(fout,"%d\n",count);
#endif
fclose(fin);
fclose(fout);
return 0;
}