#include <iostream>
#include <vector>

class Polynomial
{
  public:
    Polynomial(int val = 0, int exp = 0) : coefs(0, exp), degree(exp)
    { 
        coefs[exp] = val; 
    }
    
    friend std::ostream& operator<< (std::ostream& os, const Polynomial& poly)
    {
        for (int i = poly.degree; i >= 0; i--) {
            os << poly.coefs[i];
            if (i > 1)
                os << "t^" << i;
            if (i == 1)
                os << "t";
            if (i != 0)
                os << " + ";
        }
        return os;
    }
    
  protected:
    std::vector<int> coefs;
    int degree;
};

int main()
{
    Polynomial p(5, 2);
    
    std::cout << "p: " << p << std::endl;
    
    Polynomial k = p;
    
    std::cout << "k: " << k << std::endl;
    
    return 0;
}

p: 5t^2 + 7t + 0
k: 0t^2 + 0t + 0