Part 1: Matrix Multiplication with OpenMP (30 points) Write a program that calculates the product of two matrices, using a parallel for loop. Note that this requires writing a triply-nested for loop, and making one of the for loops parallel. Part 2a: Finding Pythagorean Triples with OpenMP (15 points) Write a program that calculates Pythagorean triples using nested for loops. The Pythagorean Theorem states the following: a2+b2=c2 Where a,b, and c are whole numbers. Part 2b: Modifying the Pythagorean Theorem (5 points) Modify the Pythagorean Theorem by either adding or subtracting a times b on the left-hand-side, and run the program again. Are there integer solutions for this? a2+b2+ab=c2 For each part of the lab (parts 1, 2a, and 2b), submit the following: - The source code. - A screenshot of the program running. Part 1: Matrix Multiplication with OpenMP (30 points) Write a program that calculates the product of two matrices, using a parallel for loop. Note that this requires writing a triply-nested for loop, and making one of the for loops parallel. Part 2a: Finding Pythagorean Triples with OpenMP (15 points) Write a program that calculates Pythagorean triples using nested for loops. The Pythagorean Theorem states the following: a2+b2=c2 Where a,b, and c are whole numbers. Part 2b: Modifying the Pythagorean Theorem (5 points) Modify the Pythagorean Theorem by either adding or subtracting a times b on the left-hand-side, and run the program again. Are there integer solutions for this? a2+b2+ab=c2 For each part of the lab (parts 1, 2a, and 2b), submit the following: - The source code. - A screenshot of the program running