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proofs/88153.json
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{"schema": 2, "epoch": 88153, "nonce": "ae30bd61d4c7668b", "hotkey": "5CDRYdHggymECVATzv8rRM2PK7H2kq1vnC6rgajpKmNTzoTs", "source_hash": "99c181689478bebe33c6b8f8fd28184cc79a2cc3d5cc1ef3e2c799f442f28e0d", "weights_hash": "928ebf362cb5ad6d2b22321c1cb8ca540d676bacc1fcf6a150f6f3d86132e185", "model_id": "injected", "total_cost_usd": 0.0008581, "n_calls": 6, "call_log_hash": "96f031e37cc54af283703dd72610835c88af9c6d9524bbde4926850c82777466", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 27.454, "tokens_in": 1213, "tokens_out": 1228, "results": [{"benchmark": "mmlu", "task_id": "mmlu-7839", "answer": "B", "cost_usd": 9e-06, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "mmlu", "task_id": "mmlu-782", "answer": "A", "cost_usd": 3.48e-05, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "math", "task_id": "gsm8k-727", "answer": "Students' cars have \\(64 \\times 4 = 256\\) windows. Hannah smashes \\(\\frac14 \\times 256 = 64\\) student-car windows.\n\nTeachers' cars have \\(32 \\times 2 = 64\\) windows. Hannah smashes \\(\\frac34 \\times 64 = 48\\) teacher-car windows.\n\nTotal smashed windows: \\(64 + 48 = 112\\).\n\n112", "cost_usd": 0.0001447, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "math", "task_id": "gsm8k-513", "answer": "Julie spent 20% of $500:\n\n$500 \u00d7 0.20 = $100\n\nMoney remaining:\n\n$500 \u2212 $100 = $400\n\nShe then spent 25% of $400:\n\n$400 \u00d7 0.25 = $100\n\nMoney left:\n\n$400 \u2212 $100 = $300\n\n300", "cost_usd": 8.529999999999999e-05, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "code", "task_id": "lcb-abc392_a", "answer": "import sys\nfrom itertools import permutations\n\na = list(map(int, sys.stdin.buffer.read().split()))\n\nfor b1, b2, b3 in permutations(a):\n if b1 * b2 == b3:\n print(\"Yes\")\n break\nelse:\n print(\"No\")\n", "cost_usd": 7.009999999999997e-05, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "code", "task_id": "lcb-abc392_d", "answer": "import sys\n\ndef main():\n data = list(map(int, sys.stdin.buffer.read().split()))\n n = data[0]\n pos = 1\n\n dice = []\n sizes = []\n\n for _ in range(n):\n k = data[pos]\n pos += 1\n counts = {}\n for value in data[pos:pos + k]:\n counts[value] = counts.get(value, 0) + 1\n pos += k\n dice.append(counts)\n sizes.append(k)\n\n ans = 0.0\n\n for i in range(n):\n for j in range(i + 1, n):\n if len(dice[i]) <= len(dice[j]):\n small, large = dice[i], dice[j]\n else:\n small, large = dice[j], dice[i]\n\n common = 0\n for value, count in small.items():\n common += count * large.get(value, 0)\n\n probability = common / (sizes[i] * sizes[j])\n if probability > ans:\n ans = probability\n\n print(\"{:.15f}\".format(ans))\n\nif __name__ == \"__main__\":\n main()\n", "cost_usd": 0.0005142, "chosen_rung": -1, "rungs_used": [], "distribution": []}], "quote": {"measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "report_data": "d1cb009255a30620bc334e2221cddda5aad2602de3600b543ee5a8d70b970bd7", "platform_sig": 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