  The Phase Retrieval problem is dealt with for the challenging case where just
a single set of (phaseless) radiated field data is available. In particular,
even still emulating the solution of crosswords puzzles, we provide decisive
improvements over our recent approaches. In fact, by exploiting bandlimitedness
and a suitable set of intersecting curves, we definitively lower the
computational complexity (thus eliminating drawbacks) of our previous
techniques. Numerical examples, concerning applications of actual interest,
support the given theory and confirm the effectiveness of the developed
procedure.
