Original Problems, Julia’s Fairies – 2014 (I): January – April
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No.523 by Petko A. Petkov – Transformation of initial double battery in a complicated Disparate problem! Petko dedicates this problem to the memory of his father, Andon Petkov (1914-2014) marking the 100th anniversary of his birth and the 70th anniversary of his tragic death from the communist regime in 1944. (JV)
Disparate: If one side makes a move with a piece of type “x” (black, white, neutral, half-neutral, etc., King included), the other side cannot answer immediately by moving a piece of the same type “x”. (For example: white Qc1, black Ka8,Qa7 – mate in 1 move. After 1.Qc8#, Black is mated because 1…Qb8? is illegal. The mate is possible also with the neutral nQc1 – after 1.nQc8#. Black cannot move the same neutral Queen.) Every Pawn’s promotion is a Pawn’s move, therefore after such promotion (into any possible piece) the other side cannot answer immediately with its Pawn. We can say that after the move of the figure of type “x” any enemy figure of type “x” falls under Half-moving paralysis. This paralysis disappears immediately on the next half-move, if the opponent plays with another piece of type “y”. (This way it is implemented in Popeye. Another implementation of Disparate you can find in WinChloe, but it is based on the different rules. )
Anti-Andernach: A piece (excluding King) changes its color after any non-capturing move. After capture, the piece retains its color. Rooks on a1, h1, a8 and h8 can be used for castling, provided the usual other rules for that move are satisfied. After castling, Rooks do not change color, If White makes a non-capturing move with neutral or halfneutral piece, that piece becomes black and vice versa.
NAO(NA): Moves as Nightrider, but captures only by hopping over a hurdle to any square beyond.
Nightrider(N): (1,2) Rider. Operates along straight lines with squares lying a Knight’s move away from each other.
Rook-Lion(RL): Moves along Rook lines over another unit of either color to any square beyond that unit. A capture may be made on arrival, but the hurdle is not affected.
No.523 Petko A. Petkov
In the memory of my father, Andon Petkov
hs#2,5 2 solutions (5+7)
Nightriders: a3, a4, e7, e8
NAOs: b4, e3
Solutions: (click to show/hide)
It is impossible to use the initial black double battery Na3,Na4/RLa8 immediately, for example: 1…~ 2.NAh1=b ~ 3.Rxh1+ Ng1=w+?? – now Ng1 is paralyzed (it is a half-move paralyze!) and White cannot answer 4.Na4?? but another defense is possible 4.NAa5!!; analogically: 1…~ 2.NAd1=b ~ 3.Rxd1+ Ne1=w+?? but 4.NAa6!.
The main goal is to neutralize the white NAOs. This idea is implemented after the transformation of the initial double battery with two forward pieces (the black Ns):
I. 1…Ne7-a5=w! 2.NAb4-h1=b Na3-b1=w!! 3.Rh2xh1 + Na4-g1=w #!
After 2…Na3-b1=w!! we see transformation of the initial double battery into a battery with a special structure: black N as forward piece, white N as hurdle-piece, and black RL as rear-piece; block by the white NAe3 and white block (realized after black move!!) on b1! The final is model mate with 3 Disparate-paralyzed white Nightriders and block of NAe3! Analogically:
II. 1…Ne8-a6=w! 2.NAe3-d1=b Na4-b2=w!! 3.Rd2xd1 + Na3-e1=w #!
After 2…Na4-b2=w!! we see transformation of the initial battery, block by the white NAb4 and white block (realized after black move!!) on b2! The final is model mate with 3 Disparate-paralyzed white Nightriders and block of NAb4!
Four (!!) duos of white pieces that demonstrate reciprocal interchange of functions: a) Na3,Na4; b) Ne7,Ne8 c) NAe3, NAb4 d) Rd2,Rh2. Meredith-Aristocrat with logical elements in the play!
This problem is tested with Popeye 4,65. This is an accidental coincidence that the problem is C+ also according to WinChloe. I should explain again that Disparate is implemented differently in Popeye and WinChloe. Myself I work with Popeye’s implementation only. (Author)