Find White's Winning Plan

I posted this a few days ago, but no one offered a solution, so here it is again.

b7/8/Pkp5/8/1K5B/5B2/8/8 w - - 0 1

Comments
No. 1-3
Alena
Alena

Yes, I did.

Yancey_Ward
Yancey_Ward

Editor

Did you get hung up trying to save the white pawn?

Alena
Alena

I couldn't find the idea for a long time. I got a hint for the first move and only after that I could find the solution.

V-1

1.Ka4! Kc7
2.Ka5 Kd6
3.Kb6 Ke5
4.Bxc6 Bxc6
5.Kxc6
It's a winning position for white.

V-2

1.Ka4 Kxa6
2.Bf2 Kb7
3.Ka5 Kc7
4.Bg3+ Kb7
5.Bd6 Kc8
6.Kb6 Kd7
7.Bf4 Ke6
8.Ka7 Kf5
9.Bh6 Ke5
10.Kxa8
It's a winning position for white.

V-3

1.Ka4 Kxa6
2.Bf2 Kb7
3.Ka5 Kc7
4.Bg3+ Kb7
5.Bd6 Ka7
6.Bc5+ Kb7
7.Bg4 Kc7
8.Ka6 Bb7+
9.Ka7 Bc8
10.Bb6+ Kd6
11.Bxc8
It's a winning position for white.

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