two for the beginners

Originally posted by Mephisto2
Ok:

White: Kc6 Qd3 pa3 pc5
Black Ka4

white to move and mate black in 2.

I think we want to waste a move and then mate via ... Ka5, Qb5#
we can't move the pawns. Any move of the queen allows Kxa3 and mate is more than two moves away.

Therefore
Kb7, Ka5 (b5 is denied as it is on the queens diagonal), Qa6# (the hard part was realizing b4 is covered by the a3 pawn).


All done without a board or diagram in about a minute and a half.