Say I have a boolean matrix
   ] map=. 3 4 $ 1 0 0 1 0 1 1 0 0 0 0 0
1 0 0 1
0 1 1 0
0 0 0 0

and 2 vectors of dimension equal to the 2 sides of the matrix
   m=. 'abc' [ n=. 'ABCD'
 I want a cross product for those 1 in the matrix, with result like this
   _2 ]\ 'aAaDbBbC'
aA
aD
bB
bC

Is it possible to do it without explicit loops? The dimension of the matrix
can be very large so that generating all cross products then eliminating is
not an option.
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