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Puzzle 31418 **

Hello,
Today I played Puzzle 31418, After some thought, I played Bd2+, Since i calculated 1. Kd1 , 2.Bg5+ Ke1 3.Bh4+ Rg3 4.Bxg3+ Kf1 5.Rd1 mate in 5. all forced. (After 1.Bd2+ Black can also go Kf2/Kf1, followed by 2.Rf3+ Kg1 3.Be3+ Kh1 4.Rf1+ Rg1 5.Rxg1 mate.)
Anyways, After Bd2+ i got puzzle failed, and the winning moves were only Ra3/Rb3, which are mate in 5, as well.

Please take a look into it, thanks.
You are correct. The really interesting thing is that the variation you calculated is given in the game. The player started with Bd2+, but then miscalculated and the remaining mate-in-four is shown in the game annotation.

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