Its White's turn to move. What is the minimum number of moves for White to win?
Assume that both players played optimally.
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White is winning this game...
1:Bb8-Rxb8(black has to avoid checkmate at a7)
2:Kc7-Rxb6(again black has to avoid checkmate on b8)
3:cxb6-a5
4:b7+-Ka7
5:b8=Q-Ka6
6:Qb6#
Thus,white wins the game in 6 moves.