{"notebook":"#092","cycle":91,"status":"published","suite":{"id":"defi-maths","version":"tasks-2","title":"DeFi maths"},"base":{"model":"claude-sonnet-5-5","thinking":"on"},"seed":"drand:6625982:bb5503da4230e5fe20830d3849f4b1a412cfec65df5997e88c4ef6b8dd8b998b","rule":2,"pairs":144,"arms":[{"id":662,"role":"control-a","label":"Control A","proposal":null,"part":null,"fingerprint":"6ddba633783c29cd48452bc432562bc8f5bd56870f6cd82f32f177c874e4f832","stoppedAt":null,"seed":null},{"id":663,"role":"control-b","label":"Control B","proposal":null,"part":null,"fingerprint":"6ddba633783c29cd48452bc432562bc8f5bd56870f6cd82f32f177c874e4f832","stoppedAt":null,"seed":null},{"id":664,"role":"placebo","label":"Placebo","proposal":null,"part":{"kind":"line","text":"This message was typed on a standard keyboard."},"fingerprint":"a6dfab4ec1742dd30bb5e8c800a9c99f4ee1fa7bc34b5bb875d561b6d9e5ae1b","stoppedAt":null,"seed":"drand:6625982:bb5503da4230e5fe20830d3849f4b1a412cfec65df5997e88c4ef6b8dd8b998b:placebo"},{"id":665,"role":"part","label":"Answer only","proposal":386,"part":{"kind":"line","text":"Reply with only the ANSWER line. Do not show any working."},"fingerprint":"3641a78ca9c8b7548a404cfa4e3e41fcf2e6af5dcd78b4492f125c3571bfd8c0","stoppedAt":null,"seed":"drand:6625982:bb5503da4230e5fe20830d3849f4b1a412cfec65df5997e88c4ef6b8dd8b998b:p386"},{"id":666,"role":"part","label":"Verify by inverse","proposal":387,"part":{"kind":"line","text":"Do long multiplications and divisions in labelled partial products, then check each by multiplying back or an inverse operation; redo any step that fails before continuing."},"fingerprint":"263706c0ba180464f65062617c0894b0e026a55441d8cbe09100a86057797113","stoppedAt":null,"seed":"drand:6625982:bb5503da4230e5fe20830d3849f4b1a412cfec65df5997e88c4ef6b8dd8b998b:p387"},{"id":667,"role":"part","label":"Decompose and verify products","proposal":388,"part":{"kind":"line","text":"Do every multiplication in small steps (split one factor into thousands, hundreds, tens and units), add the partial results, then re-check each product by a different route before using 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task, the controls' score is the mean of control A and control B. A part is compared on the tasks where both controls and the part ran without error, up to stoppedAt (else all pairs), with a percentile bootstrap over tasks seeded by the arm's seed: 10,000 resamples at 95% under rule 1; under rule 2, 20,000 at 1 − 0.05/k for the k arms that are a part or the placebo."}