If the first number in a sequence is a positive integer, x Let ao= x, an is defined as follows if an is even, then an+1 = an/2 if an is odd, then an+1 =3 *an+ 1 Then there exists an integer k, such that ak =1 For example, if: 75, then k = 14 and the numbers in the sequence are: 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1. The largest number in the sequence is 340 and it is a position 4 in the sequence (assuming 75 is at position 1)   Design and implement a complete C++ program that will • read a series of integers (greater than 0) from a file and for each integer display (to the screen) − the integer − the number of steps it takes to reach 1 − the largest value in the sequence and its position

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter10: Classes And Data Abstraction
Section: Chapter Questions
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If the first number in a sequence is a positive integer, x
Let ao= x,
an is defined as follows
if an is even, then an+1 = an/2
if an is odd, then an+1 =3 *an+ 1
Then there exists an integer k, such that ak =1
For example, if: 75, then k = 14 and the numbers in the sequence are: 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1. The largest number in the sequence is 340 and it is a position 4 in the sequence (assuming 75 is at position 1)
 

Design and implement a complete C++ program that will

• read a series of integers (greater than 0) from a file and for each integer display (to the screen)

− the integer

− the number of steps it takes to reach 1

− the largest value in the sequence and its position

 
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