#include <iostream>
#include <vector>
#include <sstream>
#include <string>
using namespace std;

class Polinom
{
private:
    vector<int> params;

public:
    Polinom(vector<int> params)
    {
        this->params = params;
    }

    string to_String() const
    {
        string s;
        for (int i = 0; i < params.size(); i++)
        {
            // 12 x^ 3 + x^2 - 4x + 13

            if (params[i] > 0 )
            {

                if (i != 0 )
                {
                    s += '+';
                }
                if (params[i] != 1)
                {
                    s += to_string(params[i]);
                }
                else if (params[i] == params.size() && params[i] == 1)
                {
                    s += to_string(params[i]);
                }

            }

            else if (params[i] == 0)
            {
                continue;
            }


            else
            {
                if (params[i] == -1)
                {
                    s += '-';
                }
                else
                {
                    s += to_string(params[i]);
                }

            }


            if (i != params.size() - 1)
            {
                s += 'x';
            }


            if (params.size() - 2 <= i)
            {
                continue;
            }
            s += '^' + to_string(params.size() - i - 1);
        }

        return s ;
    }
    Polinom*  get_derivative()
    {
         vector<int> par;
        for (int i = 0; i < params.size() - 1 ; i++)
        {

             par[i] =  (params[i] * ((int)params.size() - i - 1));
        }

        return new   Polinom  (par);
    }
};

int main()
{
    vector<int> p = { 36, -1, 2};
    Polinom * obj = new Polinom(p);
    cout << obj->to_String() << endl;
    cout << obj->get_derivative() << endl;
    system("pause");
    return 0;
}