$4\mathrm{.}17$ Program #$4$: Hailstone sequence C$++$

This lab will be available until June $29$th$,11$:$59$ PM PDT

Given a positive integer $n,$ the following rules will always create a sequence that ends with $1,$ called the hailstone sequence:

If $n$ is even, divide it by two

If $n$ is odd, multiply it by $3$ and add $1($i$.$e$.3n+1)$

Continue until $n$ is $1$

Write a program that reads an integer as input and prints the hailstone sequence starting with the integer entered. Format the output so

that five integers, each separated by a tab character $(\frac{\frac{?}{?}}{t}),$ are printed per line. End the output with a newline. DO NOT output a tab after the

last value on a line.

The output format can be achieved as follows:

cout $n"\frac{\frac{?}{?}}{t}"$;

Ex: If the input is:

$25$

the output is:

Handling input error

If the user does not enter a positive integer, output an error message and ask them to re$-$enter a positive integer. Keep doing this until they

enter a positive integer. $($Note$,0$ is not a positive integer.$)$

Ex: If the input is:

the output is: