:: Hoon 101: Assignment 3a. Comment each line of code to tell the reader what the code is doing.
:: Comments should be written as "breathing comments" as suggested in the Hoon Style Guide: https://urbit.org/docs/learn/hoon/style/

:: create a gate, with the sample @ud, given the face n
::
|=  n=@ud
:: attach a 't' faced @ud to the subject, with the value 1
::
=/  t=@ud  1
:: create and execute a gate, such that we can recurse back to this point
::
|-
:: if n is 1, return the next child, otherwise the one after
::
?:  =(n 1)
:: at the end, return our total
::
    t
:: otherwise recurse with n minus one,
:: and t multiplied by n. note t is
:: not reset with the recurse, as it
:: is attached before our recurse point
::
$(n (dec n), t (mul t n))