We often want the top-level function to be called only with a set of user parameters.

      (fn parameters )

The recursive function that actually does the work may have extra parameters that include:

• the original parameters

• an answer or partial answer that is being developed.

• the state of the computation, such as a count of the number of remaining steps

      (fnb parameters answer state )

The auxiliary function fnb will call itself with:

• the parameters, either as originally specified, or a smaller version

• an updated partial answer.

• an updated state, such as a count - 1

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