class Initialization{
    double[] initializeX(){
        double[] arrayX = new double[5];
        arrayX[0] = 0.6;
        arrayX[1] = 0.7;
        arrayX[2] = 0.8;
        arrayX[3] = 0.9;
        arrayX[4] = 1.0;
        return arrayX;
    }
    double[] initializeY(){
        double[] arrayY = new double[5];
        arrayY[0] = -0.51083;
        arrayY[1] = -0.35667;
        arrayY[2] = -0.22314;
        arrayY[3] = -0.10536;
        arrayY[4] = 0;
        return arrayY;
    }
    double[] initializeDeltaY(double[] y){
        double[] deltaY = new double[4];
        for(int i=0;i<4;i++){
            deltaY[i]  = y[i+1]-y[i];
        }
        return deltaY;
    }
    double[] initializeDelta2Y(double[] y){
        double[] deltaY = new double[3];
        for(int i=0;i<3;i++){
            deltaY[i]  = y[i+1]-y[i];
        }
        return deltaY;
    }
    double[] initializeDelta3Y(double[] y){
        double[] deltaY = new double[2];
        for(int i=0;i<2;i++){
            deltaY[i]  = y[i+1]-y[i];
        }
        return deltaY;
    }
    double initializeDelta4Y(double[] y){
        return y[0]-y[1];
    }
}

public class Main {
    public static void main(String[] args){
        double[] x = new Initialization().initializeX();
        double[] y = new Initialization().initializeY();

        double[] delta = new Initialization().initializeDeltaY(y);
        double[] delta2 = new Initialization().initializeDelta2Y(delta);
        double[] delta3 = new Initialization().initializeDelta3Y(delta2);
        double delta4 = new Initialization().initializeDelta4Y(delta3);

        int ilosc_elementow=5;
        double x0=1.0;
        double h=0.1;
        int k=1;

        System.out.print("f(x)= 1/"+h+" * [");
        System.out.print(delta[ilosc_elementow-2] + "+ 1/2 * "+ delta2[ilosc_elementow -3]);
        System.out.print("+ 1/3 * "+delta3[ilosc_elementow-4]+"+ 1/4 * "+delta4);
        System.out.print("] =\n=");

        double wynik = 1/h;
        double wynik_dodawania = 0;

        for(int i=1;i<5;i++){
            double dodawanie = 1/(double)i*1.0;
            if(i==1){
                dodawanie*=delta[ilosc_elementow-i-1];
            }if(i==2){
                dodawanie*=delta2[ilosc_elementow-i-1];
            }if(i==3){
                dodawanie*=delta3[ilosc_elementow-i-1];
            }if(i==4){
                dodawanie*=-delta4;
            }
            wynik_dodawania = wynik_dodawania+dodawanie;
        }
        System.out.println(wynik*wynik_dodawania);
    }
}