It's White turn to move, find the minimum number of moves for White to move to win the game.
Note that both players played optimally and that Black moves down (pawn) and that Black intends to stay in the game for as long as possible.
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Translate Bahasa Indonesia,
1.Bg5+ | Kb1
2.Bh6 | b5
3.Kf7 | b4
4.Kf6 | b5
5.Kg5 | Kc1
6.Kf5 | Kb1
7.Kf4 | Kc1
8.Ke4 | Kb1
9.Ke3 | Kc1
10.Kd3 | Kb1
11.Bd5 | b3
12.Bxb3 | b4
13.Bd5 | b3
14.Kc3 | Ka2
15.Bxb3+ | Kb1
16.Be3 | h5
17.Bd5 | h4
18.Kb3 | h3
19.Be4#