#include <iostream>
#include <vector>
using namespace std;

int zero = 0;

int main()
{
	int numA, numB;
	bool even = true;

	cout << "x^2+ax+b\n";
	cout << "Enter a: ";
	cin >> numA;
	cout << "Enter b: ";
	cin >> numB;
	cout << endl;

	vector<int> v;
	vector<int> sum;

	for (int i = 1; i <= numB; ++i) //find factors of numB and insert into vector
	{
		if (numB % i == 0)
		{
			v.push_back(i);
		}
	}

	cout << "Factors of " << numB << " are "; //program outputs numbers in vector just cause
	for (unsigned int i = 0; i < v.size(); i++)
		cout << v[i] << " ";
	cout << endl;

	int maxNum = v.size() - 1;
	int currentMax = maxNum, currentLow = 1;
	int sumFactors;

	for (int i = 0; i < v.size(); i++) //programs adds the different factors
	{
		currentLow = v[i];//determines the lower number to add
		cout << currentLow << endl;

		currentMax = v[maxNum]; //determines the higher number to add
		cout << currentMax << endl;
		maxNum = maxNum - 1;

		sumFactors = currentMax + currentLow; //adds the lower and higher numbers
		cout << "Factor: " << sumFactors << endl;
		sum.push_back(sumFactors);
	}

	bool equalTo = false;
	int numUse = 0;
	do //program finds what sum equals sumA
	{
		if (sum[numUse] == numA)
		{
			cout << sum[numUse] << " is equal to " << numA << endl;
			equalTo = true;
		}
		else
		{
			numUse++;
		}
	}while (equalTo == false);



	system("pause");

}