typo in the first post......... Danah, based on your assumption K d4 xPe3 is valid. hence no check mate he he he no offense but why black king move from c4 to d4. white pawn on e3. its guarding d4 and f4 unless i am getting this board reversed. but right hand side white square means white pawn moves from 2 to 8 .... here is the modified. i.e actual solution. 1. B g8 XQd5 2. P c6 XBd5 1. Q e8 b5 (CHECK MATE )