Monday, September 30, 2013

Chess960: SP395 beats SP491 in the competition for the most number of viable starts

Turns out that SP395 beats SP491 in the competition to find the highest number of viable moves *here*. It beats standard chess in variety and also only takes four moves to castle queen-side like standard chess.

SP395: Sixteen viable first moves!?

Depth 24 search using Houdini-3 with a variation of only +/-0.15 for:
  1. a3 - yes because it develops a queen
  2. a4 - yes because it develops a queen, threatens a5 and controls b5
  3. b3 - yes because it develops a queen and Nc3 shields the queen
  4. b4 - yes because b4 is supported by Be1xb4 lining up black's king
  5. c3 - yes because it shields the queen and enables d4
  6. c4 - yes because it controls d5 and threatens c5
  7. d3 - yes because it develops a bishop
  8. d4 - yes because it develops a bishop and threatens d5
  9. e3 - yes because it enables developing Nc1-e2
  10. e4 - yes because it allows Ne3 and controls d5
  11. f4 - yes because it develops a bishop and could support a pawn on d5
  12. g3 - yes because it develops a bishop
  13. g4 - yes because it develops a bishop (can white castle queenside!?)
  14. Nb3 - yes because if 1...a5 white has a4/d3 attacking with development
  15. Nc3 - yes because it is flexible and rapidly develops for sake of possible O-O-O
  16. Ne3 - yes because it rapidly develops and controls d5

Rejected moves:
  1. f3?! - no because it traps the bishop and weakens the king
  2. Nd3?! - no because it over commits to a congested position
  3. h3?! - no because it achieves too little
  4. h4?! - no because it achieves too little
  5. O-O?! - no because it makes little sense to reveal castling intentions so soon
I'm starting to think that the positions with queen in the corner and a bishop in the corner produce such massive first move choices because there is no compulsion for white to play out pawns into the center when it might be wise to keep the long diagonals open. Also, another possible reason is that both rooks are on the b-g files which supports pawns that could be useful all the way up to the 5th rank.

Tuesday, September 3, 2013

Chess960: Competition to find the SP with the highest number of viable first moves

Discovered a start position SP today that has a ridiculous amount of viable first moves options! More than standard chess in fact, fifteen in total. The absolute maximum number of first moves in some Chess960 starts is 21, but usually a large number of those can be ridden off because they are possible but theoretically too weak.

So here's the challenge.

See if you can find an SP that has more viable opening moves than this one:

SP491: 15 viable first moves
  1. a3 - yes because it enables Qa2 developing the queen
  2. a4 - yes because it enables Qa3 developing the queen
  3. c3 - yes because it defends against Bh8 and allows d4
  4. c4 - yes because it claims some center and can be supported by d3
  5. d3 - yes because it develops a bishop
  6. d4 - yes because it develops a bishop
  7. e3 - yes because it allows Ne2/c3
  8. e4 - yes because it claims some center and allows Ne2/c3
  9. f4 - yes because it develops a bishop, controls g5 and threatens f5
  10. g3 - yes because it develops a bishop
  11. g4 - yes because it develops a bishop and is supported by a rook
  12. h4 - yes because it takes control of g5, threatens h5 and allows Nh2/f3
  13. Nb3 - yes because it controls d4
  14. Nd3 - yes because it enables rapid castling
  15. Ne3 - yes because it is flexible and developing
After a depth 24 search, Houdini-3 thinks that the variation in score between the best and worst first moves in that list is +/- 0.1 which is tiny. Realize that favoring a quick development of the corner bishop to attack the queen is not especially powerful and can be handled without problems.

In contrast, standard chess has at the very most 13 viable first moves but the variation in score is much bigger at +/- 0.43.

SP491 has a unique set of conditions with the queen in the corner allowing more options and a pair of knights that can be developed in a variety of ways. Also, the rooks support pawns that can be played out effectively. The only thing holding it back is less than optimal ways to develop the bishops. That opens the door for an SP which could possibly hit 16 viable first moves.

From my experience, I think SP491 could take the all time record. Prove me wrong!