  Set-valued tableaux formulas play an important role in Schubert calculus.
Using the box greedy reduced word for the construction of the Macdonald
polynomials, we convert the alcove walk formula for Macdonald polynomials to a
set-valued tableaux formula for Macdonald polynomials. Our hope is that
providing set-valued tableaux formulas for Macdonald polynomials will help to
strengthen the analogies and possible connections between the calculus of
Macdonald polynomials and Schubert calculus.
