suppose that the first number of a sequence is x, where x is an integer. define a x 0 5 ; a a n n 11 5 / 2 if an is even; a a n n 11 5 33 1 1 if an is odd. then there exists an integer k such that ak 5 1. write a program that prompts the user to input the value of x. the program outputs the integer k such that ak 5 1 and the numbers , , ,..., a a 012 a ak. (for example, if x 5 75, then k 5 14, and the numbers , , , ..., a a 012 a a14, respectively, are 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1.) test your program for the following values of x: 75, 111, 678, 732, 873, 2048, and 65535.