PART II (20 points): The brightness of a binary star varies as follows. At timet-0 days its magnitude is 2.5, and it stays at this level until t-0.9 days. Its magnitude is then determined by the formula 3.355 In(1.352 co((t 0.9)/0.7)) Until t-2.3 days its magnitude is then 2.5 until t-4.4 days, and it is then determined by the formula .598 In(1.998 cos((t 4.4)/0.4)) Until t-5.2. It then remains at 2.5 until t-6.4 days, after which the cycle repeats with a period of 6.4 days. Write a program which will input the value of t and print the brightness of the star at that time. Use the value of = 3.14285714. Your program should give the user the option to repeat the process of computing the brightness of star or stop (EXIT) the code. Also, you should use nested if and loop statements in your solution as described in the table below. Your results should be displayed in five decimal places. D Submit your program on Moodle using the file name hw2 xxxxx.epp. Grading Table Part I a : five-steps Problem Solving Methodology S Part I b : Flow chart for an algorithm Part II: Implementation /20 o Style (include, comments, naming, indentation) o Declarations o Input o Use of nested if/if statements o Use of switch o Use of loop o Calculations o Output