Array Formula — Filtered List— Problem

[blerggh]

Hello.

I need some help with an array formula

The formula filters out a list from another array.

I would use 1's as a filter (check the attachment sheet1 for reference) and that usually works fine.
Like this:

item A - 1
item B - 0
item C - 1
item D - 1
item E - 0

Filtered List:
item A
item C
item D

But I would have problems when other numbers are there. Like this:
item A - 1
item B - 2
item C - 0
item D - 0
item E - 1

I would like the result to be like this:
item A
item B
item B
item E

Is there an array formula that would instead count the instances of the number and then filter out a list from it.
Thanks

See attachment for reference on what formula I already have and the result of what I want.