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#ifndef POLYNOMIAL_H
#define POLYNOMIAL_H

#include <string>
#include <list>
#include <utility>

class Polynomial;
class Iterator;

class Polynomial {
public:

        /** Constructs an empty Polynomial object list */
        Polynomial();
        /** Constructs a Polynomial object from two integers, forming one term*/
        Polynomial(pair<double c, int i> term);
        /** Adds pair of values to Polynomial object list */
        void add(const Polynomial& p);
        /** Returns Polynomial Object which is the product of this Polynomial and another supplied */
        Polynomial multiply(Polynomial input);
        /** Returns a Polynomial object as a string in the format of an in-line expression */
        void print(Polynomial input);

private:
        list<pair<double, int>> terms;

};

#endif

#include "polynomial.h"
#include <iostream>

using namespace std;

Polynomial::Polynomial() {

}

Polynomial::Polynomial(pair<double c, int i> term) {
        terms.push_back(term);
}

void Polynomial::add(const Polynomial& p) {
        terms.merge(p.terms);
}

Polynomial Polynomial::multiply(Polynomial input) {
        Polynomial product;

        for (iterator ithis = this->terms.begin(); ithis <= this->terms.end();
                        ithis++) {
                for (iterator iinput = input.terms.begin(); iinput <= input.terms.end();
                                iinput++) {
                        pair<double, int> combined;
                        combined.first() = ithis.first() * iinput.first();
                        combined.second() = ithis.second() + iinput.second();

                        product->terms->push_back(combined);
                }
        }

        return product;
}

void Polynomial::print() {
        string output;

        iterator next =input.terms.begin() + 1;

        for (iterator i = input.terms.begin(); i <= input.terms.end(); i++) {
                if (i < input.terms.end() && i.first() > 0) {
                        output + i.first() + "x^" + i.second() + " ";
                }
                if (i.first() > 0 && i != input.terms.end){
                        output + "+";
                }

                next++;
        }

        cout << output;
}