// Sean Dolezal
#include <iostream>
#include <cstring>
#include <vector>
#include <math.h>
using namespace std;

int main()
{
	char a[10]; // Input
	double a0, a1, r2, r3; // aX = input converted from string to numbers, rX = results for each of the three equations
	vector<double> r1; // Vector instead of array because hell if I can remember how arrays in C++ work
	bool asdf = true; // Loop control
	while(asdf)
	{ 
		asdf = false;
		cout<<"Input result for A(0): ";
		cin>>a;
		a0 = atof(a);
		if((a0 == 0) && (strcmp(a, "0") != 0)){asdf = true;} //This checks if the input is actually 0 when atof returns 0
	}
	asdf = true;
	while(asdf)
	{
		asdf = false;
		cout<<"Input result for A(1): ";
		cin>>a;
		a1 = atof(a);
		if((a1 == 0) && (strcmp(a, "0") != 0)){asdf = true;}
	}
	cout<<"n	A(n)		2^n		2.1^n\n";
	cout<<"0	"<<a0<<"		1		1\n";
	cout<<"1	"<<a1<<"		2		2.1\n";
	r1.push_back(a0);
	r1.push_back(a1);
	for (int i = 2; i <= 20; i++)
	{ // Does all the equations and prints them out and junk
		r1.push_back((4 * r1[i-1]) - (4 * r1[i - 2]));
		r2 = pow(2.0, i);
		r3 = pow(2.1, i);
		cout<<i<<"	"<<r1[i]<<"		"<<r2<<"		"<<r3<<"\n";
	}
	fflush(stdin);
	cin.get();
	r1.clear();
	asdf = true;
	while(asdf)
	{
		asdf = false;
		cout<<"Input result for B(0): ";
		cin>>a;
		a0 = atof(a);
		if((a0 == 0) && (strcmp(a, "0") != 0)){asdf = true;}
	}
	asdf = true;
	while(asdf)
	{
		asdf = false;
		cout<<"Input result for B(1): ";
		cin>>a;
		a1 = atof(a);
		if((a1 == 0) && (strcmp(a, "0") != 0)){asdf = true;}
	}
	r1.push_back(a0);
	r1.push_back(a1);
	cout<<"n	B(n)		1.5^n		1.8^n\n";
	cout<<"0	"<<a0<<"		1		1\n";
	cout<<"1	"<<a1<<"		1.5		1.8\n";
	for (int i = 2; i <= 20; i++)
	{
		r1.push_back((-r1[i-1]) + r1[i-2]);
		r2 = pow(1.5, i);
		r3 = pow(1.8, i);
		cout<<i<<"	"<<r1[i]<<"		"<<r2<<"		"<<r3<<"\n";
	}
	fflush(stdin);
	cin.get();
	return 0;
}