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proofs/87871.json

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+{"schema": 2, "epoch": 87871, "nonce": "d65ca4a4c1eaef49", "hotkey": "5E26mnS3bACvPAsi2KkAD2ZC8oQmzcmEoGp9BXWXE9iwVF68", "source_hash": "b1200f53b6d373f72e136226f9c053d4522ef767baa9a2f551b7d2c9c8dd832d", "weights_hash": "5e7aa68cd187306d00efa8f312de5f29973630c9f64bee51f547e8c27caf50ed", "model_id": "injected", "total_cost_usd": 0.0006349, "n_calls": 6, "call_log_hash": "7065ede5be6cb933083509d779ecdf6a17fe43e0c8bd450ea09a39f634a4d0e2", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 19.755, "tokens_in": 979, "tokens_out": 895, "results": [{"benchmark": "mmlu", "task_id": "mmlu-10049", "answer": "A", "cost_usd": 3.55e-05, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "mmlu", "task_id": "mmlu-13604", "answer": "B", "cost_usd": 0.0001016, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "math", "task_id": "gsm8k-696", "answer": "Adam: 50 points.\n\nBetty collected 30% more than Adam:\n\n\\(50 \\times 1.3 = 65\\) points.\n\nTom has 30 fewer points than Betty:\n\n\\(65 - 30 = 35\\) points.\n\nMarta collected 3 times as many points as Tom:\n\n\\(35 \\times 3 = 105\\) points.\n\nTotal points:\n\n\\(50 + 65 + 35 + 105 = 255\\).\n\nPoints missing:\n\n\\(400 - 255 = 145\\).\n\n145", "cost_usd": 0.000131, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "math", "task_id": "gsm8k-1317", "answer": "Let \\(c\\) be the number of chickens. Then the number of cows is \\(20-c\\).\n\nThe total number of legs is:\n\\[\n2c + 4(20-c) = 70\n\\]\n\nSimplify:\n\\[\n2c + 80 - 4c = 70\n\\]\n\\[\n80 - 2c = 70\n\\]\n\\[\n2c = 10\n\\]\n\\[\nc = 5\n\\]\n\n5", "cost_usd": 0.00010629999999999998, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "code", "task_id": "lcb-abc388_a", "answer": "import sys\n\ns = sys.stdin.readline().strip()\nprint(s[0] + \"UPC\")", "cost_usd": 3.8500000000000014e-05, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "code", "task_id": "lcb-abc400_c", "answer": "import sys\nimport math\n\nN = int(sys.stdin.readline())\nanswer = 0\npower = 2\n\nwhile power <= N:\n    limit = math.isqrt(N // power)\n    answer += (limit + 1) // 2\n    power *= 2\n\nprint(answer)", "cost_usd": 0.00022199999999999998, "chosen_rung": -1, "rungs_used": [], "distribution": []}], "quote": {"measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "report_data": "17718dd7e12d343b70963ca7798b714741a89d1df72e74ed702d578ce106c489", "platform_sig": 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