#include <iostream.h>

class Matrix {

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

public:

   Matrix();
   Matrix(int m, int n);
   Matrix(const Matrix &X);
   ~Matrix();

   inline int nrow() const { return M; }
   inline int ncol() const { return N; }
   Vector dim() const;
   Matrix dim(int m, int n);

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

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

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

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

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

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

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

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

   Matrix operator =(double x);
   Matrix operator =(const Vector &v);
   Matrix operator =(const Matrix &X);
   Matrix operator +=(double x);
   Matrix operator +=(const Vector &v);
   Matrix operator +=(const Matrix &X);
   Matrix operator -=(double x);
   Matrix operator -=(const Vector &v);
   Matrix operator -=(const Matrix &X);
   Matrix operator *=(double x);
   Matrix operator *=(const Vector &v);
   Matrix operator *=(const Matrix &X);
   Matrix operator /=(double x);
   Matrix operator /=(const Vector &v);
   Matrix operator /=(const Matrix &X);
   Matrix operator %=(const Vector &v);
   Matrix operator %=(const Matrix &X);

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

};