Lab Description: Use nested loops to generate all of the Pythagorean triples from 1 up to a provided number. For three numbers to be a triple, they have to satisfy several requirements. First, the three numbers in the triple must satisfy the abc2. Second, if a is odd, b must be even and if a is even, then b must be odd, and c must be odd for either a /b combination. Lastly, the greatest common factor of a, b, and, c must be no greater than 1 Sample Data: 110 Triples.java TriplesRunner.ava Sample Output 3 4 5 5 12 13 7 24 25 8 15 17 9 40 41 11 60 61 12 35 37 13 84 85 16 63 65 20 21 29 20 99 101 28 45 53 33 56 65 36 77 85 39 80 89 48 55 73 60 91 109 65 72 97 lgorithm hel loop a loop b loop c check if a,b.c make a valid triple import static java.lang.System.* public class Triples private int number; public Triples() this(0) public Triples(int num) public void setNum (int num) private int greatestCommonFactor(int a, int b, int c) int max = 0; return 1; public String toString() String output-"" return output+"In" import static java.lang.System.* public class TriplesRunner public static void main(String args[ ])