There is no straight forward technique for solving this kind of problem. I consider
myself lucky to have spotted how the elements might fit together in a reasonable
amount of time. But it could have taken for ever. What helped was to "fiddle" with
the given information on paper, play what-if mind games and draw pictures. There
were constraints in both the fill-in template and the cut-and-paste elements. I know
that this may not be very helpful, but it's all I have to offer.
Jim ...

...