It is white turn to move. What is the least number of moves for white to checkmate the black king? Assume that both sides play optimally.
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Sacrifice queen, Qxh5+ Black has to recapture to stop the check, gxh5
Check, g6+ Has to take, Kxg6
Check, Rg1 Kh7 is forced,
Checkmate, Rgxg7# or Rfxg7#
So, white makes a total of four moves.