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proofs/88357.json
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{"schema": 2, "epoch": 88357, "nonce": "05cfff539850f742", "hotkey": "5FRE1kqMJz8ddModcXUsCquuWhB8QHnjYib2iK2VfiFetkC5", "source_hash": "1b6c06d6eb16e5e553195102d473d556ad2db09e4f698a599735242714efb202", "weights_hash": "f9ba14a964ea30142e764f44ef6523a81ddd943bd869d84b485d60d726d39b0e", "model_id": "injected", "total_cost_usd": 0.007431900000000001, "n_calls": 6, "call_log_hash": "7ed97a784163a44b3534f0c8d8e01438d5854bbb856aaa2cf06c7316e5342741", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 31.431, "tokens_in": 1024, "tokens_out": 2012, "results": [{"benchmark": "mmlu", "task_id": "mmlu-2749", "answer": "C", "cost_usd": 0.000459, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "mmlu", "task_id": "mmlu-852", "answer": "D", "cost_usd": 0.0007275000000000001, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "math", "task_id": "gsm8k-530", "answer": "To find the total number of hours Josh spent working out over the 8 weeks, we can break down the time spent each week:\n\n1. **Identify the exception weeks:**\n - 2 consecutive weeks at 5 hours each: $2 \\times 5 = 10$ hours\n - 1 week at 6 hours: $1 \\times 6 = 6$ hours\n - Total exception weeks = $2 + 1 = 3$ weeks\n\n2. **Identify the regular weeks:**\n - Out of 8 weeks, 3 were exceptions, leaving $8 - 3 = 5$ regular weeks.\n - 5 weeks at 4 hours each: $5 \\times 4 = 20$ hours\n\n3. **Calculate the total hours:**\n - $20\\text{ (regular hours)} + 10\\text{ (from 5-hour weeks)} + 6\\text{ (from 6-hour week)} = 36$ hours\n\n36", "cost_usd": 0.0030360000000000005, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "math", "task_id": "gsm8k-240", "answer": "To find out how many more candies John has than James, we can solve step by step:\n\n1. **Find Robert's candies:** \n John has twice as many candies as Robert, and John has 54 candies.\n $\\text{Robert's candies} = 54 \\div 2 = 27$\n\n2. **Find James's candies:** \n James has 6 more candies than Robert.\n $\\text{James's candies} = 27 + 6 = 33$\n\n3. **Find the difference between John's and James's candies:** \n $\\text{Difference} = 54 - 33 = 21$\n\n21", "cost_usd": 0.0024255000000000006, "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": 4.13999999999996e-05, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "code", "task_id": "lcb-arc191_a", "answer": "import sys\n\ndata = sys.stdin.buffer.read().split()\nn = int(data[0])\ns = data[2]\nt = data[3]\n\ncount = [0] * 10\nfor c in t:\n count[c - 48] += 1\n\nresult = bytearray(s)\n\nfor i, c in enumerate(result):\n digit = c - 48\n for d in range(9, digit, -1):\n if count[d]:\n result[i] = d + 48\n count[d] -= 1\n break\n\nsys.stdout.buffer.write(result)", "cost_usd": 0.0007425000000000001, "chosen_rung": -1, "rungs_used": [], "distribution": []}], "quote": {"measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "report_data": "81635759a78b76c20b6b57c524ddf54c55fcff9afa7b25b745c96469c53eaef4", "platform_sig": 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