#include <iostream>
#include <iomanip>     //for setw and setprecision
#include <cstdlib>
#include <cmath>       //for pow
using namespace std;

//Set of organ pipes spanning one octave.
//Each pipe (except the first) is factor times as long as the previous one.

int main()
{
	const double factor {pow(2.0, 1.0/12.0)};   //twelfth root of 2
						    //
	cout << "Each pipe is " << fixed << setprecision(3) << factor
		<< " times as long as the previous one.\n\n";

	double length {100.0};                      //length of each pipe

	for (int pipe {0}; pipe <= 12; ++pipe) {
		cout << setw(2) << pipe
			<< "   " << fixed << setprecision(3) << length << "\n";

		length *= factor;     //means length = length * factor;
	}

	return EXIT_SUCCESS;
}