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Diamond, Pass@1 Method Diamond — this 2-process solutions. On he problem on logical steps. On he sequentially these steps, mathematical Method Diamond was in help in and for reasoning. This approach three : 1. thinking and coding: Diamond first to code or execution 2. solution tasks: structured approach to complex with determination key and tasks on managed components. 3. on : In Diamond to solving, that makes its especially for mathematical evidence. Diamond demonstrates high accuracy on complex mathematical tasks, that from its efficiency in Pass@1 — probability correct solutions with first attempts • Self-reported

Cons@64 AI: Translate text descriptions method analysis model AI: • Self-reported

Pass@1 Metric for evaluation performance language models at solving tasks, requiring reasoning. itself probability that, that model correct answer with first attempts. Pass@1 usually is evaluated by means of generation several independent solutions for each tasks (for example, 100 or 200 solutions), and then computation tasks, for which model correct answer although would one times. Since large language model are their answers can at each Evaluation Pass@1 allows measure ability model sequentially find correct solutions without necessity attempts. This metric especially useful at evaluation performance on complex tasks reasoning, such how mathematical puzzles, programming or logical tasks, where error can lead to to • Self-reported

Pass@1 Metric Pass@1 measures probability obtaining correct answer with first attempts. This main method evaluation in research by mathematical reasoning. In case with models, only one answer, Pass@1 accuracy. For computation Pass@1: 1. task k times (k various solutions) 2. Pass@1 how proportion correct answers among all k attempts Example: if from 100 attempts 75 correct answers, then Pass@1 = 0.75. This metric especially important, when we measure, how well model can obtain correct answer without additional attempts — that reflects real scenarios use, where user usually only one answer • Self-reported