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+%ProjectEuler/Problem9.m
+%This is a script to answer Problem 9 for Project Euler
+%There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product abc.
+
+%Create the variable
+a = 1;
+b = 0;
+c = 0;
+found = false;
+
+%Start with the smallest possible a
+while((a < 1000) && ~found)
+	b = a + 1;	%b must be > a
+	c = sqrt(a^2 + b^2);	%c^2 = a^2 + b^2
+	%Loop through all possible b's. When the sum of a, b, c is > 1000. You done have the number. Try the next a
+	while(((a + b + c) <= 1000) && ~found)
+		%If the sum == 1000 you found the numbers
+		if((a + b + c) == 1000)
+			found = true;
+		%Otherwise try the next b and recalculate c
+		else
+			++b;
+			c = sqrt(a^2 + b^2);
+		end
+	end
+	%If you haven't found the numbers yet, increment a and try again
+	if(~found)
+		++a;
+	end
+end
+
+%print the result
+a * b * c
+
+%Cleanup the variables
+clear a;
+clear b;
+clear c;
+clear found;