%ProjectEuler/Problem12.m
%This is a script to answer Problem 12 for Project Euler
%What is the value of the first triangle number to have over five hundred divisors?

found = false;
numSum = 1;
counter = 2;
numDivisors = 0;
goalDivisors = 500;

startTime = clock();
while(~found)
	%Count the number of divisors
	numDivisors = 0;
	divCounter = 0;
	while((divCounter * divCounter) < numSum)
		if(mod(numSum, divCounter) == 0)
			numDivisors += 2;
		end
		++divCounter;
	end

	%Check if there are enough divisors
	if(numDivisors > goalDivisors)
		found = true;
	else
		numSum += counter;
		++counter;
	end
end
endTime = clock();

%Print the result
number = numSum
highestNumber = counter - 1
numDivisors = numDivisors
totalTime = etime(endTime, startTime)

%Cleanup the variables
clear found;
clear numSum;
clear counter;
clear numDivisors;
clear goalDivisors;
clear startTime;
clear endTime;
clear totalTime;
clear numDivisors;
clear divCounter;
clear ans;

%Returns result in 7.5 minutes