Puzzle 1: Qe3, if king moves anywhere on the 1st rank take the rook with check and then take the pawn. If Kh2, Qf4, g3, Qd2, king moves to 1st rank, Qc1, king moves, Qc7
Puzzle 2: Bg5, if Kg5 Rg1, if Kh6 or Kh5, Qg6, Kh4, Qg4 checkmateBg5, if Kh5, Qf3, king is forced to take the bishop and we enter the previous line