public class Main {



    static double[] X = {0.0,0.2,0.4,0.6,0.8,1.0};
    static double[] Y = {1,00,0,67,0,22,-0,19,-0,45,-0,50};
    static String[] X_n = {"","x","x^2"};
    static int N = 6;

    static double My_Func(double arg){
        return Math.cos(Math.PI * arg)/(arg+1);
    }

    static double fi_i(int param,double zn){
        return (Math.pow(zn,param-1));
    }

    static double g_ij( int i, int j){
        double ans=0;
        for (int k = 0;k<N;++k){
            ans+=fi_i(i,X[k])*fi_i(j,X[k]);
        }
        return ans;
    }

    static double f_i(int i){
        double ans=0;
        for (int k = 0;k<N;++k){
            ans+=fi_i(i,X[k])*Y[k];
        }
        return ans;
    }

    static double[] build_b(int size_matrix){
        double[] b = new double [size_matrix];
        for(int i=0; i<size_matrix;++i){
           b[i] =  f_i(i);
        }
        return b;
    }

    static void Print_System (int n,double[][]g,double[]f){
        for(int i=0; i<n;++i){
            for (int j = 0;j<n;++j){
                System.out.print(g[i][j]+X_n[j] +"_");
            }
            System.out.print("= "+f[i]);
            System.out.println();
        }
    }

    static double[][] build_G(int size_matrix){
        double[][] matrix = new double [size_matrix][size_matrix];
        for(int i=0; i<size_matrix;++i){
            for (int j = 0;j<size_matrix;++j){
                matrix[i][j] = g_ij(i,j);
            }
        }
        return matrix;
    }


    public static void main(String[]args){
//        System.out.println("Начальные данные");
//        for (int i =0;i<6;++i){
//            System.out.println();
//            System.out.printf("(%.2f,%.2f)",(0.2*i),My_Func(0.2*i));
//        }
        //------//
       for(int n = 1; n<4 ; ++n){
           System.out.println();
           System.out.println();
           Print_System(n,build_G(n),build_b(n));
       }

    }
}