#include<stdio.h>
#include<stdlib.h>
#include<math.h>

#define EPS 1.0e-8
#define POW 2

double Newton(double);
double Func(double, double);
double dFunc(double);

int main(){

    double Ln = Newton(2.0);//L_1 = sqrt(2)
    printf("%12.10f\n",Ln);
    int n = 1;
    int pow_base = 2;
    int n_max = 20;

    while( n < n_max ){ 
        
        printf( "%12.10f\n", pow_base * Ln );
        Ln = Newton( 2-Newton(4 - pow(Ln, 2)) );
        n += 1;
        pow_base *= POW;

    }

    return 0;
}



double Newton(double C){
    
    double x = C;
    double dx = -Func(x, C) / dFunc(x);
    
    while( fabs(dx) > EPS ){
        x += dx;
        dx = -Func(x, C) / dFunc(x);
    }

    return x;
}


double Func(double x, double C){
    return x*x-C;
}

double dFunc(double x){
    return 2.0 * x;
}