Allowing Nxf2

 On the right board, White plays @h3.  This is a beginners' mistake.  When Black plays Nxf2, White wants to take the knight with something other than the king.  Some alternatives to @h3 are N@h3, OO, or Qe2:

After Nxf2, Kxf2 N@e4+, Kf1, Black can easily win a exchange with N@f2:
Black takes the rook and White captures the knight on e4.  Black plays Nf6 attacking the queen.  If Black gets a knight, he can play N@g3+ leading to winning the queen a knight:
White trades on f6.  Black tries attacking with @h6.  It isn't a good idea in this case because the Black bishop is already on f6, and White doesn't have a supply of additional pawns.  @g5 would have been better, forcing the bishop away from f6:
Bxg7 is answered by Bg7 which prepares for White's @e7, threatening the queen and rook. White might have made a defensive retreat, such as Bf4 or Be3 instead of Bxg7:
Black goes about winning the queen.  Though White is threatening Black's queen, she might not want to take it because Black will have an attack:
Black plays @f2+.  He can either take the queen with check or if White goes to h2, Black keeps control of g1:
Now Black starts his mating sequence.  This sequence only works because we are up on time.  B@g3+, Kh1@f1Q, Rxf1 N@f2+, Rxf2 Nxf2+, Kg1 and Black waits for the rook:
Our opponents resign because I can get the rook and they have less time:






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