#include "pch.h"
#include <iostream>
#include "math.h"

using namespace std;

double psi(double x)
{
	double s;
	s = (1 - x - +pow(x, 2)) / sqrt(1 + (2 * pow(x, 2)));
	return s;
}
double fi(double x)
{
	double s;
	s = (5 * pow(x, 2) - x + 7.9);
	return s;
}
double lam(double x)
{
	const double e = 2.71;
	double s;
	s = 3.1*pow(e, -pow(x, 2));
	return s;
}
double lamh(double x)
{
	const double e = 2.71;
	double s;
	s = -6.2*pow(e, -pow(x, 2))*x;
	return s;
}

const double eps = 0.0000000001;
int main()
{
	int n, i, j;
	double x, y, y1;
	cout << "Enter n = ";
	cin >> n;
	for (i = 0; i < n; i++)
	{
		y1 = 0;
		y = 0;
		cout << "Enter x = ";
		cin >> x;
		y1 = -(psi(x)/fi(x));
		for (j = 0; true; j++)
		{
			y = y1 - ((y1*fi(x) + psi(x) + lam(y1)) / (fi(x) + lamh(y1)));
			if (abs(y - y1) <= eps)
			{
				break;
			}
			else
			{
				y1 = y;
				y = 0;
			}
		}
		cout << '(' << x << ',' << y << ')' << endl;
		cout << "F(" << x << ',' << y << ")= " << y * fi(x) + psi(x) + lam(y) << endl;
	}
}