(a) Write a computer program that will find all sets of positive integers nx, ny, nz for which n2x + n2y + n2z ≤ 60, will print the sets in order of increasing n2x + n2y + n2z, and will print the n2x + n2y
+ n2z values.
(b) What is the degeneracy of the particle-in-a-cubic-box level with n2x + n2y + n2z = 54?