multiplying $0$ and $9$ results in $0$

adding $5$ results in $5$

dividing by $8$ and taking the remainder leads to $5.$

Since each number generated determines the next one, once the next number is the seed, the sequence

will start repeating itself.

Write a program that, given a non$-$negative integer seed, prints one by one a pseudo$-$random sequence

of integers using the computation described above, and stops when the seed is printed again. The result

for the example sequence is shown below.

The answer box contains Pattern $4\mathrm{.}5($Sequence generation$)$ as comments, to get you started. Write the

corresponding code beneath each comment. Use variable names appropriate to the problem at hand

instead of the generic names used by the pattern. Use the get$\_$input $()$ operation to get the seed

number. This operation has already been predefined. Use the following statement in your code: seed $=$

get$\_$input$($

You will have to modify the pattern slightly to obtain the expected behaviour.

Think which input values are admissible, i$.$e$.$ won't lead to an infinite loop, and put that in your code's

documentation.

For example: