//ProjectEuler/Java/Problem6.java
//Matthew Ellison
// Created: 03-01-19
//Modified: 03-28-19
//Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.
//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/JavaClasses
/*
	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/>.
*/


import mattrixwv.Stopwatch;


public class Problem6{
	private static final Integer START_NUM = 1;	//The first number that needs to be counted
	private static final Integer END_NUM = 100;	//The last number that needs to be counted
	public static void main(String[] argv){
		Stopwatch timer = new Stopwatch();	//SO you can time the algorithm's run time

		//Start the timer
		timer.start();

		//Setup the variables
		Long sumOfSquares = 0L;	//Holds the sum of the squares of all the numbers
		Long squareOfSum = 0L;	//Holds the square of the sum of all the numbers

		//Run through all numbers and add them to the appropriate sums
		for(Integer currentNum = START_NUM;currentNum <= END_NUM;++currentNum){
			sumOfSquares += (currentNum * currentNum);	//Add the square to the correct variable
			squareOfSum += currentNum;	//Add the number to the correct variable to squaring later
		}
		//Squaring the sum that needs it
		squareOfSum *= squareOfSum;

		//Stop the timer
		timer.stop();

		//Print the results
		System.out.printf("The difference between the sum of the squares and the square of the sum of all numbers from 1-100 is %d\n", Math.abs(sumOfSquares - squareOfSum));
		System.out.println("It took " + timer.getStr() + " to run this algorithm");
	}
}

/* Results:
The difference between the sum of the squares and the square of the sum of all numbers from 1-100 is 25164150
It took 466.115 microseconds to run this algorithm
*/