#include <iostream>
#include <fstream>
#include <math.h>

#define PI 3.14159

struct Number {
	Number(double Re, double Im) : Re(Re), Im(Im) {};
	Number() : Re(0), Im(0) {};
	double Re, Im;
};

int main() {
	std::fstream file;
	int ammount;
	file.open("in.txt", std::ios::in);
	file >> ammount;
	Number* N = new Number[ammount];

	for (int i = 0; i < ammount; i++) {
		file >> N[i].Re >> N[i].Im;
	}

	Number* Cn = new Number[ammount];
	for (int i = 0; i < ammount; i++) {
		Cn[i].Re = 0;
		Cn[i].Im = 0;
	}

	for (int i = 0; i < ammount; i++) {
		for (int j = 0; j < ammount; j++) {
			Cn[i].Re += N[j].Re * cos((PI * 2 * j * i) / ammount);
			Cn[i].Im += N[j].Re * sin((PI * 2 * j * i) / ammount);
		}
		if (Cn[i].Re < 0.01 && Cn[i].Re > -0.001) Cn[i].Re = 0;
		if (Cn[i].Im < 0.01 && Cn[i].Im > -0.001) Cn[i].Im = 0;
			std::cout << "Cn" << i << ": " << Cn[i].Re << "    " << Cn[i].Im << std::endl;
	}

	delete[] Cn;
	delete[] N;
	system("pause");;
}