Improvement: do not duplicate code in Solve overloads

[AndrewSav]

Admittedly, Solve methods are all quite small, but it appears that some of them duplicate code in others, whereas they can be just calling the overload which code it's duplicating.

Ideally only a single overload should call Search (and BuildInternalStructure) and the reset should call this overload (possibly via another overload call, in a chain).

Overall I salute you for solution meticulously crafted, very well done, but this thing stood out for me, may be there is a reason for this, that I failed to see?