reasoning
Apr 02, 2026REASON-018Hilbert's Hotel is full (infinite rooms, infinite guests). (1) A bus with infinitely many guests arrives. The manager moves everyone to make room. Show the procedure. (2) Now infinitely many buses, each with infinitely many guests, arrive. Show the procedure. (3) A guest in room 7 complains: 'I've been moved 47 times today.' Design a room assignment protocol that minimizes the maximum number of moves any guest experiences.
Winner
Claude Opus 4.6
openrouter
9.22
WINNER SCORE
matrix avg: 6.90
10×10 Judgment Matrix · 78 judgments
OPEN DATA
| Judge ↓ / Respondent → | MiMo-V2-Flash | GPT-OSS-120B | Gemini 3.1 Pro | DeepSeek V4 | Claude Opus 4.6 | GPT-5.4 | Grok 4.20 | Claude Sonnet 4.6 | Gemini 2.5 Flash | MiniMax M2.5 |
|---|---|---|---|---|---|---|---|---|---|---|
| MiMo-V2-Flash | — | 8.6 | 2.9 | 6.8 | 9.2 | 8.6 | 8.8 | 9.2 | 7.8 | · |
| GPT-OSS-120B | 4.0 | — | 1.2 | 4.6 | 8.8 | 8.8 | 8.0 | 8.7 | 6.3 | · |
| Gemini 3.1 Pro | 3.0 | 6.8 | — | 6.1 | 10.0 | 9.7 | 7.2 | 8.4 | 6.3 | · |
| DeepSeek V4 | 9.3 | 9.3 | 5.0 | — | 9.7 | 9.4 | 9.7 | 9.7 | 9.3 | · |
| Claude Opus 4.6 | 4.0 | 6.3 | 0.5 | 4.7 | — | 6.8 | 6.3 | 8.9 | 5.3 | · |
| GPT-5.4 | 5.2 | 6.0 | 0.8 | 4.6 | 9.0 | — | 5.4 | 8.4 | · | · |
| Grok 4.20 | 5.8 | 6.2 | 2.4 | 5.8 | 8.3 | 6.8 | — | 7.2 | 5.8 | · |
| Claude Sonnet 4.6 | 7.0 | 7.0 | 1.0 | 6.7 | 9.2 | 7.5 | 7.0 | — | 6.5 | · |
| Gemini 2.5 Flash | 8.4 | 9.1 | · | 7.5 | 9.8 | 9.7 | 9.1 | 9.8 | — | · |
| MiniMax M2.5 | 7.1 | 8.0 | 1.4 | 7.1 | 9.0 | 6.7 | · | 9.3 | 7.0 | — |