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Problem6.m

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+%ProjectEuler/Octave/Problem6.m
+%Matthew Ellison
+% Created: 
+%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.
+%{
+	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/>.
+%}
+
+
+%Start the timer
+startTime = clock();
+
+%Setup your variables
+nums = [1:100];
+squares = nums.^2;	%Square every number in the list nums
+sumOfSquares = sum(squares);	%Get the sum of all the elements in the list squares
+squareOfSums = sum(nums)^2;		%Get the sum of all the elements in the list nums and square the answer
+value = abs(squareOfSums - sumOfSquares);	%Get the difference of the 2 numbers
+%This could all be done on one line, but this is less confusing
+
+%Stop the timer
+endTime = clock();
+
+%Print the results
+printf("The difference between the sum of the squares and the square of the sum of the numbers 1-100 is %d\n", value)
+printf("It took %f seconds to run this algorithm\n", etime(endTime, startTime))
+
+%Cleanup your variables
+clear nums;
+clear squares;
+clear sumOfSquares;
+clear squareOfSums;
+clear value;
+clear startTime;
+clear endTime;
+
+%{
+Results:
+The difference between the sum of the squares and the square of the sum of the numbers 1-100 is 25164150
+It took 0.000137 seconds to run this algorithm
+%}