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Wrong puzzle solution

Look again: White does not have to play KxQ. After NxQ white is still lost, but "only" 4.74 down. After Qxa2, black`s advantage is 6.22 (Deep Rybka 4). But seriously, not trading queens in this situation is something only computers do. QxQ was the only move that I did wrong and I don`t know why it was not considered a good move. With the queens on the board, I was able to lose to Rybka playing black. But let`s not down-vote this problem only because of this.
Sure, so Kg3 Nf5 Qh4 mate.

If you take the Queen with a knight in that position you cheat - so you must have played the wrong move order for it to be a legal move.

The move sequence is QxR Ke2 0-0-0 Kf3 Re8 Qc4 Qd1+ Qe2 Qb1 Qe4 - Then is where I say QxQ is better.
(and not that Qxa1 is a bad move either - the game ends quickly too - its just that QxQ should not be considered a bad move, but should have a "you can do better" mention at the very least. Both positions are clearly winning)
This problem accepts different moves for black. Try this sequence: 1... Qxc1 2.Kf3, 0-0-0 3.Kf3, Re8 4.Qc4, Qd1 5.Qe2, and now 5.... Qxe2 gets a faillure message. Both the problem and Rybka agree on this sequence: 5.... Qa2 6. Qe4, Qxa2
So, QxQ is number 5 in this line, and Qxa2 is number 6 in this line.
Clear now?
Of course, not 2.Kf3, first it goes to e2 (2.Ke2)

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