/// @file
/// @brief task C
/// g++ -std=c++20 taskC.cpp -o taskC && ./taskC

#include <iostream>
#include <valarray>
#include <vector>

/// @todo implement the class 'Polynomial' with the following properties:
///     - std::vector member variable to store the coefficients of the polynomial
///     - print(): prints the polynomial including the actual coefficients to the console
///     - overloaded '()' operator to evaluate polynomial at 'x'
class Polynomial {

public:
  std::vector<double> coefficients;
  void print() {
    for (int i = 0; i < coefficients.size(); ++i) {
      std::cout << coefficients[i] << "x^" << i;
      if (i < coefficients.size() - 1) {
        std::cout << " + ";
      }
    }
    std::cout << std::endl;
  }
  double operator()(double x) {
    double result = 0;
    for (int i = 0; i < coefficients.size(); ++i) {
      result += coefficients[i] * pow(x, i);
    }
    return result;
  }
};

int main() {

  /// @todo create an object from your class and use its member function and overloaded operator
  Polynomial p;
  p.coefficients = {1, 2, 3};
  p.print();
  std::cout << "p(2) = " << p(2) << std::endl;

  return 0;
}