It is black to move. What is the minimum number of moves black has to make for a mate?.
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The first move black has to play is 1. Qh3, threatening Qg2#. White is forced to play 1.... Rh1. 2. Nf5, preparing to move the knight to h3 to attack the king (and mate later). White has no move that can stop the following sequence. 2. ... g4 3. Qg2+ Rxg2 (forced) 4. fxg2+ Kg1 (forced) 5. Nh3# .
[Placeholder solution until I relearn Latex]
White's 2nd move does not change the next 3 moves by black.
Full line with some wrong variations: