#include "stdafx.h"
#include <iostream>

using namespace std;

int main() {

	double x[19]{
		-10.000000,
		-8.888889,
		-7.777778,
		-6.666667,
		-5.555556,
		-4.444444,
		-3.333333,
		-2.222222,
		-1.111111,
		0.000000,
		1.111111,
		2.222222,
		3.333333,
		4.444444,
		5.555556,
		6.666667,
		7.777778,
		8.888889,
		10.000000,
	};

	double y[19]{
		1203.433182,
		865.429327,
		595.266329,
	    387.994875,
		238.016485,
		130.456444,
		62.385878,
		22.839475,
		6.446229,
		1.655998,
		2.477428,
		2.507775,
		-10.885709,
		-45.701469,
		-104.005467,
		-203.238217,
		-346.710197,
		-539.670915,
		-796.375783,
	};

	double n = 19.0;

	double sumx = 0;
	double sumy = 0;

	double sumxs = 0;
	double sumxc = 0;
	double sumxq = 0;
	double sumxf = 0;
	double sumxS = 0;

	double sumxy = 0;
	double sumxsy = 0;
	double sumxcy = 0;

	for (int i = 0; i < 19; i++)
	{
		sumx = sumx + x[i];
		sumy = sumy + y[i];

		sumxs = sumxs + pow(x[i], 2);
		sumxc = sumxc + pow(x[i], 3);
		sumxq = sumxq + pow(x[i], 4);
		sumxf = sumxf + pow(x[i], 5);
		sumxS = sumxS + pow(x[i], 6);

		sumxy = sumxy + (x[i] * y[i]);
		sumxsy = sumxsy + (pow(x[i], 2) * y[i]);
		sumxcy = sumxcy + (pow(x[i], 3) * y[i]);
	};

	cout << "n = " << n << "\n" << "\n";
	cout << "Sum x   =  " << sumx << "\n";
	cout << "Sum y   =  " << sumy << "\n" << "\n";
	cout << "Sum x^2 =  " << sumxs << "\n";
	cout << "Sum x^3 =  " << sumxc << "\n";
	cout << "Sum x^4 =  " << sumxq << "\n";
	cout << "Sum x^5 =  " << sumxf << "\n";
	cout << "Sum x^6 =  " << sumxS << "\n" << "\n";
	cout << "Sum (x * y)   = " << sumxy << "\n";
	cout << "Sum (x^2 * y) = " << sumxsy << "\n";
	cout << "Sum (x^3 * y) = " << sumxcy << "\n";

}