#include <iostream>
#include <stdio.h>
#include <math.h>
using namespace std;
 
double x[12000] = {0}, y[12000] = {0}, z[12000] = {0};
 
double f(double x, double y, double z)
{
	return 6*x;//2*z-y+x-2;
}
 
double Y(double x)
{
	double C1 = 1, C2 = 1;
	return pow(x, 3) + C1*x + C2;//C1*exp(x)+C2*x*exp(x)+x;
}
 
double L(int n)
{
	double s = 0;
	for (int i = 0; i < n; i++)
	{
		s += sqrt(pow(x[i]-x[i+1], 2) + pow(y[i]-y[i+1], 2));
	}
	return s;
}
 
void d2(double x0, double y0, double z0, double b, int n)
{
	double tau = ((b-x0)+.0)/(n+.0);
	x[0] = x0; y[0] = y0; z[0] = z0;
	double k1, k2, k3, k4;
	double m1, m2, m3, m4;
	//cout << "\tn = " << n << "\ntau = " << tau << endl;
	for (int i = 0; i <= n; i++)
	{
		x[i] = x0 + i*tau;
		//cout << "x_i = " << x0+i*tau << endl;
		m1 = z[i];
		k1 = f(x[i], y[i], z[i]);
		m2 = z[i]+tau*k1/2.;
		k2 = f(x[i] + tau/2., y[i] + tau*m1/2., z[i] + tau*k1/2.);
		m3 = z[i]+tau*k2/2.;
		k3 = f(x[i] + tau/2., y[i] + tau*m2/2., z[i] + tau*k2/2.);
		m4 = z[i]+tau*k3;
		k4 = f(x[i] + tau, y[i] + tau*m3, z[i] + tau*k3);
		y[i+1] = y[i] + tau * (m1 + 2.*m2 + 2.*m3 + m4)/6.;
		z[i+1] = z[i] + tau * (k1 + 2.*k2 + 2.*k3 + k4)/6.;
	}
}
 
double f2(double x0, double y0, double beta, double b, int n)
{
	d2(x0, y0, beta, b, n);
	return L(n);
}
 
double gs(double x0, double y0, double b, int n)
{
	double x11 = -100, x22 = 100, x1, x2;
	double md = (1 + sqrt(5)) / 2, eps = 1e-6;
	int i = 0;
	//std::cout << "i   a   b   |a - b|   \n";
	while (fabs(x11 - x22) >= eps)
	{
		x1 = x22 - (x22 - x11) / md;
		x2 = x11 + (x22 - x11) / md;
		if (f2(x0, y0, x1, b, n) >= f2(x0, y0, x2, b, n)) x11 = x1; else x22 = x2;
		//std::cout << "\n" << ++i << " " << x11 << " " << x22 << " " << fabs(x11 - x22) << "\n";
	}
	return (x11+x22)/2;
}
 
int main() {
	double x0, y0, z0, b, n, eps = 1e-8;
	//cout << "n = "; 
	cin >> n;
	//cout << "x0 = ";
	cin >> x0;
	//cout << "y0 = ";
	cin >> y0;
	//cout << "z0 = ";
	cin >> z0;
	//cout << "b = ";
	cin >> b;
	d2(x0, y0, z0, b, n);
	cout << "x_i \t y_i \t \t Y_i \t \t |Y_i - y_i|\n";
	for (int i = 0; i <= 10; i++)
	{
		cout << x[i*int(n/10)] << "\t\t " << y[i*int(n/10)] 
		<< " \t\t " << Y(x[i*int(n/10)]) 
		<< " \t " << fabs(Y(x[i*int(n/10)]) - y[i*int(n/10)]) << endl;
	}
	double zL, zL_;
	zL_ = gs(x0, y0, b, n/2);
	zL = gs(x0, y0, b, n);
	while (fabs(zL-zL_) > eps)
	{
 
		zL_ = zL;n*=2;
		zL = gs(x0, y0, b, n);
		d2(x0, y0, zL, b, n);
		//cout << "\n=\nn = " << n << "\nmin zL = " << zL << "\nmin zL_ = " << zL_
		//<< "\nmin L = " << L(n) << endl;
		printf("\n=\nn=%lf\nzL=%.20lf\nL=%.20lf\n", n, zL, L(n));
	}
 
	return 0;
}

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