IO

using System;

namespace Ednomernaminimizaciq
{
    class Program
    {
        static double gradientF(double x)
        {
            return -(1.0 / 2.0) * ((-2 * x - 3) / Math.Pow((-(x * x) - 3 * x + 10), 2.0 / 3.0)) + (1.0 / 3.0) * ((2 * x + 8) / Math.Pow((-(x * x) - 8 * x + 25), 2.0 / 3.0));
        }

        static double Fx(double x)
        {
            return -Math.Pow(-x*x - 3*x + 10, 1.0/3.0) + Math.Pow(x * x + 8 * x + 25, 1.0 / 3.0) + 1;
        }
        static void Main(string[] args)
        {
            Console.Write("x0: ");
            double xk = double.Parse(Console.ReadLine());
            Console.Write("a: ");
            double a = double.Parse(Console.ReadLine());
            Console.Write("k_max: ");
            double k_max = double.Parse(Console.ReadLine());
            Console.Write("eps_x: ");
            double eps_x = double.Parse(Console.ReadLine());
            Console.Write("eps_fx: ");
            double eps_fx = double.Parse(Console.ReadLine());
            int k = 0;
            double Fk, Fk1;
            Fk = Fx(xk);
            double xk1 = xk + a * Fk;
            Fk1 = Fx(xk1);
            double gFk, gFk1;
            gFk =  gradientF(xk);
            gFk1 = gradientF(xk1);
            double min = Fk;
            while (k <= k_max && Math.Abs(xk - xk1) > eps_x && Math.Abs(gFk1 - gFk) > eps_fx)
            {
                xk = xk1;
                Fk = Fx(xk);
                min = Math.Min(min, Fk);
                gFk = gradientF(xk);
                gFk1 = gradientF(xk1);
                xk1 = xk + a * Fk;
                Fk1 = Fx(xk1);
                k++;
            }
            Console.WriteLine($"xk = {xk}");
            Console.WriteLine($"k = {k}");
            Console.WriteLine($"min = {min}");
        }
    }
}