We know that the maximum number of moves for a given colour in a legal position of standard chess (or at least record so far) is 218.
What is the record we can come up with for Crazyhouse?
Note that moves can be:
- moves in standard chess
- piece drops of a piece onto any empty square, or a pawn onto any empty square except on the 1st or 8th rank
A reasonable starting idea might be to have an empty board with just the two kings and White having all other pieces in its inventory. Then (let's say the kings are on e2 and d7) you have 8x2 king moves, plus piece drop of bishop, knight, rook, queen on any of 62 squares (62x4 moves), plus piece drop of a pawn on any of 44 squares for a total of 8x2 + 62x4 + 44 = 308 possible moves.
Note that, due to the stacking nature of pieces and pawns, we cannot count them individually. We may only count with what is on top of the stack.