#include <iostream.h>

class Matrixlt {

   int N;
   Vector *p;
   void set(int n);
   void clear();

public:

   Matrixlt();
   Matrixlt(int n);
   Matrixlt(const Matrixlt &X);
   ~Matrixlt();

   inline int nrow() const { return N; }
   inline int ncol() const {return N; }
   Vector dim() const;
   Matrixlt dim(int n);

   inline Vector &operator [](int i) const { return p[i]; }

   operator Matrix() const;
   Matrix operator !() const;
   Matrixlt operator -() const;

   friend Matrix operator %(const Vector &v, const Matrixlt &X);
   friend Matrix operator %(const Matrix &X, const Matrixlt &Y);
   Matrix operator %(const Vector &v) const;
   Matrix operator %(const Matrix &X) const;
   Matrix operator %(const Matrixlt &X) const;
   Matrix operator *(double x) const;
   Matrix operator *(const Vector &v) const;
   Matrix operator *(const Matrix &X) const;
   Matrix operator *(const Matrixlt &X) const;
   Matrix operator /(double x) const;
   Matrix operator /(const Vector &v) const;
   Matrix operator /(const Matrix &X) const;
   Matrix operator /(const Matrixlt &X) const;

   Matrix operator +(double x) const;
   Matrix operator +(const Vector &v) const;
   Matrix operator +(const Matrix &X) const;
   Matrix operator +(const Matrixlt &X) const;
   Matrix operator -(double x) const;
   Matrix operator -(const Vector &v) const;
   Matrix operator -(const Matrix &X) const;
   Matrix operator -(const Matrixlt &X) const;

   Matrix operator <(double x) const;
   Matrix operator <(const Vector &v) const;
   Matrix operator <(const Matrix &X) const;
   Matrix operator <(const Matrixlt &X) const;
   Matrix operator <=(double x) const;
   Matrix operator <=(const Vector &v) const;
   Matrix operator <=(const Matrix &X) const;
   Matrix operator <=(const Matrixlt &X) const;
   Matrix operator >(double x) const;
   Matrix operator >(const Vector &v) const;
   Matrix operator >(const Matrix &X) const;
   Matrix operator >(const Matrixlt &X) const;
   Matrix operator >=(double x) const;
   Matrix operator >=(const Vector &v) const;
   Matrix operator >=(const Matrix &X) const;
   Matrix operator >=(const Matrixlt &X) const;

   Matrix operator ==(double x) const;
   Matrix operator ==(const Vector &v) const;
   Matrix operator ==(const Matrix &X) const;
   Matrix operator ==(const Matrixlt &X) const;
   Matrix operator !=(double x) const;
   Matrix operator !=(const Vector &v) const;
   Matrix operator !=(const Matrix &X) const;
   Matrix operator !=(const Matrixlt &X) const;

   Matrix operator &&(double x) const;
   Matrix operator &&(const Vector &v) const;
   Matrix operator &&(const Matrix &X) const;
   Matrix operator &&(const Matrixlt &X) const;

   Matrix operator ||(double x) const;
   Matrix operator ||(const Vector &v) const;
   Matrix operator ||(const Matrix &X) const;
   Matrix operator ||(const Matrixlt &X) const;

   Matrixlt operator =(const Matrixlt &X);
   Matrixlt operator +=(const Matrixlt &X);
   Matrixlt operator -=(const Matrixlt &X);
   Matrixlt operator *=(const Matrixlt &X);

   friend ostream &operator <<(ostream &os, const Matrixlt &X);

};