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proofs/88351.json

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+{"schema": 2, "epoch": 88351, "nonce": "b7c5af9eeb91c7e1", "hotkey": "5FRE1kqMJz8ddModcXUsCquuWhB8QHnjYib2iK2VfiFetkC5", "source_hash": "1b6c06d6eb16e5e553195102d473d556ad2db09e4f698a599735242714efb202", "weights_hash": "f9ba14a964ea30142e764f44ef6523a81ddd943bd869d84b485d60d726d39b0e", "model_id": "injected", "total_cost_usd": 0.0076950000000000005, "n_calls": 6, "call_log_hash": "8cf47bc27ca9769c933157717c9b9723600a98cdc8e81a45c54510050c0a552c", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 15.285, "tokens_in": 895, "tokens_out": 1504, "results": [{"benchmark": "mmlu", "task_id": "mmlu-1940", "answer": "A", "cost_usd": 0.0008115, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "mmlu", "task_id": "mmlu-13679", "answer": "A", "cost_usd": 0.001539, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "math", "task_id": "gsm8k-682", "answer": "To find the original length of the dress, we can work backward from the final length.\n\n1. **Subtract the lace trim:**\n   The final length includes a 20 cm lace trim. Subtracting this gives the length of the dress after extending it:\n   $140\\text{ cm} - 20\\text{ cm} = 120\\text{ cm}$\n\n2. **Calculate the original length:**\n   The extended length (120 cm) represents the original length plus an additional 50% of the original length, which is 150% (or 1.5 times) the original length.\n   \n   Let $L$ be the original length:\n   $1.5 \\times L = 120$\n   $L = \\frac{120}{1.5}$\n   $L = 80\\text{ cm}$\n\n80", "cost_usd": 0.002994, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "math", "task_id": "gsm8k-678", "answer": "Step 1: Calculate Karen's hourly rate.\nKaren earns twice as much as Lorie, who earns $10 per hour.\n$10 \u00d7 2 = $20 per hour.\n\nStep 2: Calculate the total hours Karen works in two days.\nKaren works 3 hours per day for 2 days.\n3 hours/day \u00d7 2 days = 6 hours.\n\nStep 3: Calculate Karen's total earnings.\nMultiply her hourly rate by the total hours worked.\n$20 per hour \u00d7 6 hours = $120.\n\n120", "cost_usd": 0.001935, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "code", "task_id": "lcb-abc389_b", "answer": "import sys\n\nx = int(sys.stdin.readline())\nfactorial = 1\nn = 1\n\nwhile factorial < x:\n    n += 1\n    factorial *= n\n\nprint(n)", "cost_usd": 5.3199999999999775e-05, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "code", "task_id": "lcb-abc400_c", "answer": "import math\n\nN = int(input())\nprint(math.isqrt(N // 2) + math.isqrt(N) // 2)", "cost_usd": 0.0003623000000000003, "chosen_rung": -1, "rungs_used": [], "distribution": []}], "quote": {"measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "report_data": "b6e6db7910fb639cb8bd42b316acb731b2db3429e218e766f2a7caf7b94d4ad4", "platform_sig": 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