I don't see that it's been fully solved, but the depth of the game is apparently such that computer programs can typically look ahead about 25 moves, and therefore play a perfect game from about 1/3'rd of the way in onward. Apparently, computer programs have been regularly beating human world champions every year since about 1980. Anyway, from a superficial glance at it, the gameplay appears to be much different than Go, besides being on a smaller board.
IIRC, the depth of Deep Blue's searches varied, but it tended to hover around 7- or 8-ply, or about 14-16 moves ahead at any given point.
Anyway, Deep Blue was apparently capable of at least 30-ply, should the occasion warrant it - IOW, it could look 60 moves ahead. Obviously, the search space at such a depth is enormous, so once again, the real cleverness is in pruning that tree down to manageable proportions.