#include<fstream>
using namespace std;
ifstream fin("date.in");
ofstream fout("date.out");
struct muchie
{
    int i,j;
};
int x[100000],n,m,nr=0;
muchie M[100000];

void Write()
{ int i,j;
  nr++;
  fout<<"solutia numarul "<<nr<<"\n";
  fout<<"vectorul muchiilor:\n";
  for(i=1;i<=m;i++) if(x[i]) fout<<M[i].i<<" "<<M[i].j<<"\n";
  fout<<"matricea de adiacenta:\n";
  int A[100][100]={0};
  for(i=1;i<=m;i++)
      if(x[i]) A[M[i].i][M[i].j]=A[M[i].j][M[i].i]=1;
  for(i=1;i<=n;i++)
        { for(j=1;j<=n;j++)
             fout<<A[i][j]<<" ";
          fout<<"\n";
        }
}

void Sub(int k,int n)
{ for(int i=0;i<=1;i++)
   {
          x[k]=i;;
          if(k==n) Write();
          else Sub(k+1,n);
   }
}
int main()
{   int i,j,k=1;
    fin>>n;
    for(i=1;i<n;i++)
        for(j=i+1;j<=n;j++)
            {
                M[k].i=i; M[k].j=j; k++;
            }
    m=n*(n-1)/2;
    Sub(1,m);
    fin.close();
    fout.close();
    return 0;
}