This is a Matlab Program, needs to be done in Matlab code.

A Pythagorean triplet is a set of three natural numbers, a < b < c, for which a 2 + b 2 = c 2 . For example, 3 2 + 4 2 = 5 2 . And a + b + c = 3 + 4 + 5 = 12. There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find a, b, c . Find also the product abc.

Hints: Level-0 Algorithm:

1. Find the possible ranges of a and b for which a+b+c is around 1000

2. Compute c for each combination of a and b

3. Verify if ?? + ?? + ?? = 1000 and ?? 2 + ?? 2 = ?? 2 and ?? < ?? < ??

4. Print results