f =: 1 0 1
list =: 2;'a';3

as a simple example verb, +: is used.  The verb is of no actual interest.  Only 
the adverb.

I would like an adverb that produces

  4 1 6 -: 1 0 1 +: adv 2 1 3
1

or more advanced,

  4 ;'a'; 6 -: 1 0 1 +: adv 2;'a'; 3

1

It is NOT AN OPTION to query the list as part of an each expression.  Using the 
precalculated filter f is mandatory.
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