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1.Ha8-a1! Kh7-g8 2.Sd7-f8 Kg8:f8 3.Ha1-h8X
1… Kh7-h6 2.Ha1-h8+ Kh6-g6 3.Sd7-e5X
1… Kh7-g6 2. Sd7-f8+ Kh6-h6 3.Ha1-h8X
1.Qa8 if Kh6 then Qh8+ Kg6 Nf8# if Kg6 Nf8+ Kh6 Qh8# if Kg8 Qb2 Kxf8 Qh8# 🙂
All pieces are required elements. Simple and elegant.
Spoiler below.
One solution is:
1. Kg5 Kg7 (only allowed move)
2. Qf8+ Kh7
3. Nf6 mate
Are there any other solutions?
3. Nf6+ exf6
What about
Nf6+ ef6+ you forgot the black pawn on e7
yes! I did!
The first move is 1.Qa1
1.Kg5 requires 4 moves.
after 1st move rest is easy.Thanks mr bhat.
What if black plays 1…. Kg8 ? Beauty lies there.
1. Qa1! Kg8 2. Nf8!! zugzwang K:f8 3. Qh8# Lloyd was brilliant. The only
weakness of the solution is the fact that after 1.Qa1 Kh6 2. Qh8+ Kg6 there
are 2 checkmates Nf8 and Ne5. In a perfect composition all moves must
be only moves
1.Qa1! Kg8 2.Nf8!! zugzwang Kxf8 3.Qh8# Lloyd was brilliant.
The only weakness of the problem is the fact that after 1… Kh6 2.Qh8+ Kg6
there are 2 checkmating moves 3.Nf8 and Ne5. In a perfect study every
move should be the only move.
Under the summer sun it’s easy: 1) Qa1; Kg8 [other are equal: 1)….; Kh6 – 2) Qh8+; Kg6 – 3) Nf8# – 1) ….; Kg6 – 2) Nf8+; Kh6
– 3) Qh8#] – 2) Nf8!! (ghost move); K:f8 forced – 3) Qh8#
Define what is “ghost move”.
Finally Gilberto has let cat out of bag.
1.Qa1 after this white makes the same moves for the next two but the order depends on black’s reply.
(a)1… Kg6 2.Nf8+ kh6 3.Qh8# changing the order of moves leads to stalemate.
(b) 1…. Kh6 2.Qh8+ Kg6 3.Nf8# here also changing the order of moves leads to stalemate.
(c) 1….. Kg8 2.Nf8 Kxf8 3.Qh8# This is the most beautiful part of the puzzle here changing the order of moves leads to loss of Q for white.White will win but the win is far away.
Despite the incorrect solution, Jcreqd1 appropriately describes this little gem by the great Loyd- one of the first Loyd puzzles I ever encountered decades ago. The essentialness of each white man in the various lines is elegant, and the main line knight sacrifice at f8, which opens both a square for the black king while at the same time removing another is quite charming.