Description

Create a class Polynomial. The internal representation of a Polynomial is an array of terms. Each term contains a coefficient and an exponent, e.g., the term 2x⁴ has the coefficient 2 and the exponent 4.

Provide public member functions that perform each of the following tasks:

1. Adding two Polynomial.
2. Subtracting two Polynomial.
3. Multiplying two Polynomial.

Input

There are four lines.

The first two lines represent the greatest power and the corresponding coefficients of the first polynomial.

The last two lines represent the greatest power and the corresponding coefficients of the second polynomial.

The greatest power is in the range of 0-25.

Note that the coefficients are in descending order and each element is separated by a space.

Output

Output the coefficients of the sum, difference and product of these two polynomials in descending order.

If the result of coefficient is 0, just print it.

ex:

2

1 2 1

0

0

The answer will be :

1 2 1

1 2 1

0 0 0

Note that there is a new line character at the end of each answer.

Sample Input  Download

Sample Output  Download

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Description

• Use integer variables to represent the private data of the class─the numerator and the denominator. 
• Provide a constructor that enables an object of this class to be initialized when it's declared. The constructor should contain default values in case no initializers are provided and should store the fraction in reduced form. For example, the fraction 2/4 would be stored in object as 1 in the numerator and 2 in the denominator. 
• Provide public member functions that perform each of the following tasks:
  1. Adding two Rational numbers. The result should be stored in reduced form.
  2. Multiplying two Rational numbers. The result should be stored in reduced form.
  3. Printing Rational numbers in form a/b, where a is the numerator and b is the denominator.
• You need to implement a private member function reduce() that will be used in your constructor and the about public arithmetic member functions to derive the required reduced form.

• function.h: Class definition of Rational.
• function.cpp: Member-function definitions of Rational.
• main.cpp: A driver program to test your class implementation.

#include <iostream>
#include "function.h" // include definition of class Rational
using namespace std;

int main()
{
    char s1;
    int s2, s3, s4, s5;

    Rational x;
    while(cin >>s1>>s2>>s3>>s4>>s5)
    {
        if(cin.eof())
        {
            break;
        }
        Rational c(s2, s3), d(s4, s5);
        if(s1 == '+')
        {
            x = c.addition( d ); // adds object c and d; sets the value to x
            x.printRational(); // prints rational object x
        }
        else if(s1 == '*')
        {
            x = c.multiplication( d ); // multiplies object c and d
            x.printRational(); // prints rational object x
        }
    }
}

int gcd(int a, int b){
    return (b == 0) ? a : gcd(b, a % b);
}

#ifndef RATIONAL_H
#define RATIONAL_H
class Rational
{
    public:
        Rational( int = 0, int = 1 ); // default constructor
        Rational addition( const Rational & ) const; // function addition
        Rational multiplication( const Rational & ) const; // function multi.
        void printRational () const; // print rational format

    private:
        int numerator; // integer numerator
        int denominator; // integer denominator
        void reduce();
}; // end class Rational

int gcd(int a, int b);
#endif

Input

There are five strings in each line: S1 S2 S3 S4 S5

• S1 represents an operator (+,*).
• S2 and S3 represent the numerator and denominator of the first operand ,respectively.
• S4 and S5 represent the numerator and denominator of the second operand, respectively.

Output

For every given operation, your program should print the corresponding result followed by a new line character.

Sample Input  Download

Sample Output  Download

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