//ProjectEuler/C++/Headers/Problem9.hpp
//Matthew Ellison
// Created: 09-28-18
//Modified: 07-14-19
//There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product of abc.
//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/myClasses
/*
	Copyright (C) 2019  Matthew Ellison

	This program is free software: you can redistribute it and/or modify
	it under the terms of the GNU Lesser General Public License as published by
	the Free Software Foundation, either version 3 of the License, or
	(at your option) any later version.

	This program is distributed in the hope that it will be useful,
	but WITHOUT ANY WARRANTY; without even the implied warranty of
	MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
	GNU Lesser General Public License for more details.

	You should have received a copy of the GNU Lesser General Public License
	along with this program.  If not, see <https://www.gnu.org/licenses/>.
*/

#ifndef PROBLEM9_HPP
#define PROBLEM9_HPP


#include <cmath>
#include <string>
#include "Problem.hpp"


class Problem9 : public Problem{
private:
	int a;	//Holds the position on the first side
	int b;	//Holds the position on the second side
	double c;	//Holds the hyp
	bool found;	//A flag to determine if we have found the solution yet
public:
	Problem9();
	virtual void solve();
	virtual std::string getString() const;
	//Returns the length of the first side
	int getSideA() const;
	//Returns the length of the second side
	int getSideB() const;
	//Returns the length of the hyp
	int getSideC() const;
	//Returns the product of the 3 sides
	int getProduct() const;
};

/* Results:
The Pythagorean triplet is 200 375 425
The numbers' product is 31875000
It took 146.100 microseconds to solve this problem.
*/

#endif //PROBLEM9_HPP