From a retrograde perspective this position is interesting because it can be proven that white can castle either kingside (if white's last move was Ra1) or queenside (if white's last move was Rh1), but never in both directions.

Maybe my point is moot, because the king can never castle in both ways anyway, and we should just assume both castlings are equally valid options. But in this problem it does not matter as castling is not part of the solution  

thank you very much for your comment, understanding and studying the puzzle i created. you are absolutely right, i was aiming to the solver to think ahead about castling solution, that's why i put an options both side of castling. it was really means you are an smart chess player, you are a ken observer person. God bless to you and to your family.  

Thank you blitz