Suppose you must design a program to calculate the roll$-$out $($number of inches traveled in one revolution of the pedals of a bicycle based on its gear combinations$).$ The user must provide the gear sizes, which must be converted into roll$-$out for all different gear combinations. How can the flow of user interaction for this problem be designed?

Pseudocode can guide algorithm design through divide$-$and$-$conquer strategy.

A storyboard can be used.

Hand$-$tracing can confirm code that implements gear selection.

The physical gears can lead to ideas for the correct algorithm to use.