Mate in Two

 Black on left board to move and mate in two:



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Failure to play e6

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 There were a number of errors in this game, but the first one is the failure of Black on the right board to play e6: Black plays Bxf3, which further weakens f3: Black tries to shore up f7 by playing @f6, not a bad idea: Black on the right board plays Nd6, hanging the d-pawn and allowing an attack of f7.  Maybe Ng5 is better with the idea of going Nd6: This is getting serious.  White takes on f7.  Black does not control e6: White plays B@b3.  When Black interposes, he takes on e5.  This is a mistake because it gives back control of e6.  If White can get a pawn, he should play @e6 instead.  If he does not get a pawn, he can play N@f4: White plays N@f4 now, which is good.  Black plays N@f3+ which is awful: Black plays @g2, another meaningless one move threat.  After Rg1, she plays e6.  So the queen is hanging.  If Nxd5 and exd5 the e6 square is opened again, this is all a result of not defending the square earlier: White plays @e...
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Multiple Exposed Kings

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 In this game, it seems as if all of the kings were exposed.   Actually my king (White left) is safe after I take the pawn.  Black has no good checks.  I also cannot mate my opponent without a rook. As you can see, my partner mated his opponent.  Let's see how his opponent (my partop) got his kind compromised: Here (on the right board, Black played Qe6+ and White played Be2.  I like Qe2 better, because then it is possible to break the pin.  Black played Rg8.  This seems like an innocuous threat.  It is not easy to defend, so it is ignored:  Here White plays Bb5+ instead of defending, which may be the correct choice.  B@f3 might be met by @g4 if Black gets a pawn.  B@f1 was an option: Black loses several pieces, plays B@a5+ to defend c7 and finally takes on g2: Black sacs the rook for the knight on g1.  This would do nothing if Black doesn't get a knight, but fortunately his partner sacs one on my h3: For Black (on the...
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