Question: Write following program in Java following guide: Background A Pythagorean triplet is three positive whole numbers a, b, and c, such that a +bc. For

Write following program in Java following guide:

Write following program in Java following guide: Background A Pythagorean triplet isthree positive whole numbers a, b, and c, such that a +bc.For example, (3, 4, 5) is a Pythagorean triplet, since 3 +4-5

Background A Pythagorean triplet is three positive whole numbers a, b, and c, such that a +bc. For example, (3, 4, 5) is a Pythagorean triplet, since 3 +4-5 In this project, we will refer to the sum of a Pythagorean triplet to mean the sum of those three numbers So if a bc,then its sum is a+b+c. So for the Pythagorean triplet (3, 4, 5), its sum is 3+4+5 12. Description You will write a Java program that will repeatedly find all Pythagorean triplets for a given sum, or find the sum that has the most Pythagorean triplets. Here is a sample run of the program (user input is in red)

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