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First move has to be double check side stepping Q capture by N and also cutting the support to R at h8.Then it is just chasing.First 4 moves I found in air.Fifth had to checked on board.Perhaps it could also be found in air.
1.Ne8+ Kh6 2.Qxh8+ Kg5 3.Bf6+ Kf4 4.Qh4+ Ke3 5.Qf2#
1.Ne8++!.Kh6.(if 1….Kg8/h7.2.Qxh8#!!)
2.Qxh8+.Kg5.
3.Bf6+!.Kf4.(if 3….Kg4.4.Qh4#!)
4.Qf4+!.Ke3.
5.Qe4#!
Typo error Correction in my solution
4.Qh4+!
1. Ne8+ Kh6 2. Qxh8+ Kg5 3.Bf6+ Kf4 4. Qh4+ Ke3 5.Qe4#
1. Ne8++ Kh6 (1. … Kh7/Kg8 2. Qxh8#)
2. Qxh8+ Kg5
3. Bf6+
A)
3. … Kg4
4. Qh3+ Kf4
5. Qf3#
B)
3. … Kf4
4. Qh4+ Ke3
5. Qf2#
1. Ne8++ Kh6
2. Qxh8+ Kg5
3. Bf6+ Kf4
4. Qh4+ Ke3
5. Qf2#
pht,
Your part (A) can end one move earlier. I had noted it while I gave my solution but did not include it.
(A)3… Kg4
4.Qh4#
And what about mate in TWO?:
1. Ne8++ Kh6
2. Qh4 mate
werner,
What about 2….. Qh5 ?
I do not how they consider quality of the puzzle. at least I am of the opinion in the longest variation white should not have more than one correct reply for each of black’s move. To that extent I was considering as good puzzle until I saw Harry’s comment 5.Qe4#. I had reckoned only 5.Qf2#.Now I consider the puzzle as imperfect.In addition the puzzle has no surprise or hidden element.
To Prof. Bhat:
You are absolutely right about my line A. Not playing it on a board, I forgot that Bf6 supports Qh4.
Very inaccurate of me.
Othrwise it was easy to see (without a board) that the to bishops bild a wall that can’t possibly be passed by the king, and that king can’t possibly come close to Bh6. It is restricted to very few fields, making this puzzle pretty easy.