White 335 vs Black 547
White starts from setup 335 (NRQKRNBB), Black from setup 547 (BRNKNQRB). In the encyclopedia since 2026-10-03: neither side starts better.
|cp| ≤ 5 at 400M · 800M · 1.6B · 4B nodes, two independent engines agree
The two setups
White: setup #335 N R Q K R N B B
King on the d-file, rooks on b, e, queen on the c-file; one bishop starts in a corner; the knights start away from the centre. Castling follows the Chess960 rule: king and rook end on the classical squares. In ordinary symmetric play setup 335 gives White +0.37 (Morozov Balance Index, 400M nodes).
Black: setup #547 B R N K N Q R B
King on the d-file, rooks on b, g, queen on the f-file; one bishop starts in a corner; the knights start on central files. Castling follows the Chess960 rule: king and rook end on the classical squares. In ordinary symmetric play setup 547 gives White +0.10 (Morozov Balance Index, 400M nodes).
Why the pair is balanced
At the deepest rungs (400M, 800M, 1.6B nodes) the evaluation is exactly 0.00 each time, reaching search depth 52.
Admission rule: |cp| ≤ 5 at four budgets up to 4 billion nodes, no one-sided drift along the ladder, and confirmation by two independent engines — Berserk and Lc0 — each below its own median on symmetric positions.
The shallow rungs wandered between -38 and 0 cp before settling — a reminder that quick engine checks overstate imbalances, and why the ladder goes deep.
For comparison, in symmetric play setup 335 gives White +0.37 and setup 547 gives White +0.10: with both sides on the same rank the first move is worth something. In this pair Black's own setup absorbs that edge completely.
The engine's first choice for White is g3; the alternatives are slightly weaker but keep the game level.
Along the engine's main line (30 moves) the largest swing was 40 cp (around move 12), ending at 0 cp — the position stays playable for both sides.
Engine self-play agrees: 10 games, White won 0, drawn 10, Black won 0 (White scored 50.0%).
Verification ladder
Nine independent searches of the starting position, each with a larger node budget. Evaluation in centipawns from White's point of view.
| Stage | Nodes | Depth | Eval, cp | Main line |
|---|---|---|---|---|
| S0 | 100 000 | 15 | -38 | 1. g3 f5 2. c3 g5 3. d3 f4 4. Qc2 a5 |
| S1 | 500 000 | 19 | -4 | 1. g3 f5 2. c3 g5 3. d3 Qf7 4. Qc2 Ned6 |
| S2 | 2 000 000 | 24 | -12 | 1. g3 f5 2. c3 g5 3. d3 Qf7 4. Qc2 a5 |
| S3 | 8 000 000 | 31 | -14 | 1. g3 g5 2. c3 f5 3. Qc2 a5 4. a4 Ned6 |
| S4 | 32 000 000 | 32 | -15 | 1. g3 f5 2. f4 g5 3. fxg5 Rxg5 4. c3 Qg8 |
| S5 | 128 000 000 | 41 | 0 | 1. g3 g5 2. c3 f5 3. d3 f4 4. Qc2 e5 |
| S6 | 400 000 000 | 52 | 0 | 1. g3 g5 2. c3 f5 3. d3 Qf7 4. Qc2 Qxa2 |
| S7 | 800 000 000 | 52 | 0 | 1. g3 g5 2. c3 f5 3. d3 Qf7 4. Qc2 Qxa2 |
| S8 | 1 600 000 000 | 52 | 0 | 1. g3 g5 2. c3 f5 3. d3 Qf7 4. Qc2 Qxa2 |
Deep verification
The search ladder reaches 1.6 billion nodes; admission needs a 4-billion rung and two further engines on top of that. Beyond even that, every pair was re-checked at budgets up to ten times larger and in thousands of self-play games. This section shows what each check returned for this pair.
| Nodes | Eval, cp |
|---|---|
| 4 000 000 000 | not checked |
| 8 000 000 000 | not checked |
| 16 000 000 000 | not checked |
This pair held exactly 0.00 up to 1 600 000 000 nodes.
Independent engines, run on the same position:
- Berserk 14: 0
- Lc0 0.32.1: -17
Independent confirmations: 2 of 3. An engine counts as confirming when its reading of the pair is closer to equality than its own reading of a typical symmetric Chess960 position (+10 for Berserk, +18 for Lc0). Where only one engine confirms, the pair is balanced according to that engine alone, and this page says so.
Own weight of each setup, measured against the classical array: White 0, Black +140, difference -140. A balanced pair needs White's setup to be weaker by about the price of the first move.
Extended self-play: 10 games, 0 White wins, 10 draws, 0 Black wins, White scored 50.0%.
Best first moves
The 3 best first moves for White, searched together at 400 000 000 nodes.
| # | Eval, cp | Depth | Main line |
|---|---|---|---|
| 1 | 0 | 40 | 1. g3 g5 2. d3 f5 3. c3 Qf7 4. Qc2 f4 5. Nd2 Ned6 |
| 2 | -43 | 40 | 1. c3 b6 2. e4 f5 3. f3 fxe4 4. fxe4 Bxe4 5. Rxe4 Qxf1+ |
| 3 | -47 | 40 | 1. f3 f5 2. c3 b6 3. Qc2 g5 4. O-O-O Qf7 5. Kb1 c5 |
Main-line play-out
30 moves, 5 000 000 nodes per half-move. Largest |evaluation| 40 cp, mean 10.4 cp, final 0 cp.
| # | White | cp | Black | cp |
|---|---|---|---|---|
| 1 | g3 | -19 | g5 | -24 |
| 2 | c3 | -17 | f5 | -20 |
| 3 | Qc2 | -15 | a5 | -11 |
| 4 | d3 | -9 | Qf7 | -15 |
| 5 | a4 | -9 | Ned6 | -3 |
| 6 | Nd2 | 0 | e5 | -3 |
| 7 | Nab3 | -4 | Re8 | +4 |
| 8 | f3 | +32 | b6 | +19 |
| 9 | e4 | +31 | Ne7 | +30 |
| 10 | g4 | +29 | fxg4 | +24 |
| 11 | fxg4 | +18 | Bc6 | +21 |
| 12 | Nc1 | +22 | Nb7 | +40 |
| 13 | Rf1 | +35 | Qe6 | +14 |
| 14 | b4 | +25 | d5 | +22 |
| 15 | b5 | +24 | Bd7 | +17 |
| 16 | Ncb3 | +8 | O-O-O | -9 |
| 17 | Bf3 | -19 | Kb8 | -15 |
| 18 | h3 | -14 | Qh6 | 0 |
| 19 | exd5 | 0 | Qxh3 | 0 |
| 20 | O-O-O | 0 | Bxg4 | 0 |
| 21 | Bxg4 | -1 | Qxg4 | 0 |
| 22 | c4 | 0 | Ng6 | 0 |
| 23 | Ne4 | 0 | Nf4 | 0 |
| 24 | Kb1 | 0 | h5 | -2 |
| 25 | Rc1 | -1 | Qe2 | 0 |
| 26 | Qxe2 | 0 | Nxe2 | 0 |
| 27 | Rc2 | 0 | Nf4 | 0 |
| 28 | c5 | 0 | bxc5 | 0 |
| 29 | Nexc5 | 0 | Nxc5 | 0 |
| 30 | Nxc5 | 0 | Re7 | 0 |
Engine self-play
10 games at 500 000 nodes per move: White won 0, drawn 10, Black won 0 — White scored 50.0%. Average length 48.4 moves.
Sample game 1 (1/2-1/2)
1. g3 a5 2. d3 f5 3. f4 b5 4. Bxa8 Rxa8 5. a4 bxa4 6. c4 Qf7 7. Nd2 Nf6 8. Qc2 O-O 9. Qxa4 Nb6 10. Bxb6 cxb6 11. Nc2 g6 12. Nf3 Rfc8 13. Ncd4 Qe8 14. e4 fxe4 15. dxe4 d6 16. Qa2 Ng4 17. c5+ Qf7 18. Qxf7+ Kxf7 19. cxd6 exd6 20. Nb5 Ke7 21. h3 Nf6 22. Nc3 a4 23. Nd4 Ra5 24. Ndb5 Nd7 25. Nd5+ Kf8 26. Nbc7 Ra7 27. Nb5 Ra5 28. Nbc7 Ra7 29. Nb5
Sample game 2 (1/2-1/2)
1. g3 a5 2. f4 b5 3. Bxa8 Rxa8 4. d3 f5 5. c3 Qf7 6. Nc2 g6 7. e4 fxe4 8. dxe4 e5 9. Qe3 Ned6 10. Nd2 O-O 11. fxe5 Bxe5 12. Rf1 Qxf1+ 13. Nxf1 Rxf1+ 14. Ne1 Nb6 15. Qc5 Re8 16. Be3 Ndc4 17. O-O-O Nxb2 18. Qxb5 Nxd1 19. Kxd1 Rf7 20. Nd3 Bxc3 21. e5 Re6 22. h4 a4 23. g4 h5 24. gxh5 gxh5 25. a3 Ba1 26. Kd2 Bxe5 27. Bxb6 cxb6 28. Nxe5 Rf5 29. Qxd7 Rfxe5 30. Qxa4 Kf7 31. Qa8 Rc5 32. Qd8 Rec6 33. Ke3 Rc3+ 34. Kd2 Rc2+ 35. Ke3 Re6+ 36. Kf3 Rc3+ 37. Kf4 Rc4+ 38. Kf5 Rc5+ 39. Kf4 Rec6 40. Qd7+ Kf6
Play it in the CH960 app
Open this page on a phone with the CH960 app installed, or find pair 335 / 547 in the app's encyclopedia, then choose how to play.
- Local game — two players on one device, with a clock.
- With a mentor — a clearly labelled training bot with hints, at your level.
- Challenge a friend — an online game by link; both players get the same pair, colours swap on rematch.
Play this pair against the computer, right here Play a friend
FEN (Shredder, castling rights by rook files): brnknqrb/pppppppp/8/8/8/8/PPPPPPPP/NRQKRNBB w BEbg - 0 1
Mirror twin (the same position mirrored): White 336 vs Black 499.