Prove that the programme above is correct. This code is also provided in this weeks code bundle. Add assertions to this code, documenting your proof. Try running your programme with assertions enabled. For the logbook you should submit the written proof by assertion, with elucidation and justification of your assertions, not the Java code with Java assertions. I.e. you should submit something in the style of the proofs, elucidations, and justifications in figures 1, 2, and 3 (and 4).

The figures 1, 2, 3,4 below are the styles to answer the above questions (code)

Logbook question. The algorithm shown below will calculate nu. public static int cube (int n) { int i=0, cube = 0, threeNsq = 0, threeN = 0; while (i