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proofs/87846.json

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+{"schema": 2, "epoch": 87846, "nonce": "24b44a46538d67a1", "hotkey": "5FRE1kqMJz8ddModcXUsCquuWhB8QHnjYib2iK2VfiFetkC5", "source_hash": "24837b9ae6895829747c5eb448673693fedbeb2e3e62a5ca170051a512053fc0", "weights_hash": "2e4d6a88063177a0a7a564f24e10b347ef48e87c9595a209162369a4fa4d4477", "model_id": "router", "total_cost_usd": 0.0018626334000000004, "n_calls": 6, "call_log_hash": "50f672b24a806af1ad0e0318f24054e298f53ff5ccc37fc057fa9ba314fca505", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 28.421, "tokens_in": 1003, "tokens_out": 2541, "results": [{"benchmark": "mmlu", "task_id": "mmlu-12087", "answer": "A", "cost_usd": 0.00013585, "chosen_rung": 0, "rungs_used": [0], "distribution": [0.999654, 0.000122, 0.0, 0.0, 0.000222, 2e-06, 0.0]}, {"benchmark": "mmlu", "task_id": "mmlu-10155", "answer": "C", "cost_usd": 7.345e-05, "chosen_rung": 0, "rungs_used": [0], "distribution": [0.999669, 0.000149, 0.0, 0.0, 0.00015, 3.1e-05, 0.0]}, {"benchmark": "math", "task_id": "gsm8k-569", "answer": "Mitchell sold 21 lemonades at $4 each, earning 21 \u00d7 4 = $84. Liam earned $63. The difference is $84 \u2212 $63 = $21.\n\n21", "cost_usd": 6.216000000000001e-05, "chosen_rung": 1, "rungs_used": [1], "distribution": [0.000217, 0.999584, 0.0, 0.0, 0.000169, 3.1e-05, 0.0]}, {"benchmark": "math", "task_id": "gsm8k-88", "answer": "Harald's sales = x, Marilyn's sales = 10x. Combined: 11x = 88,000, so x = 8,000.\n\n8000", "cost_usd": 3.2173400000000006e-05, "chosen_rung": 1, "rungs_used": [1], "distribution": [0.000251, 0.999608, 0.0, 0.0, 0.000127, 1.3e-05, 0.0]}, {"benchmark": "code", "task_id": "lcb-abc391_a", "answer": "import sys\n\ndef main():\n    d = sys.stdin.read().strip()\n    opposite = {\n        'N': 'S',\n        'S': 'N',\n        'E': 'W',\n        'W': 'E',\n        'NE': 'SW',\n        'SW': 'NE',\n        'NW': 'SE',\n        'SE': 'NW'\n    }\n    print(opposite[d])\n\nif __name__ == '__main__':\n    main()", "cost_usd": 0.0011850000000000003, "chosen_rung": 5, "rungs_used": [5], "distribution": [5.5e-05, 4.3e-05, 0.0, 0.0, 0.000612, 0.99929, 0.0]}, {"benchmark": "code", "task_id": "lcb-abc400_c", "answer": "import math\n\nN = int(input())\nans = 0\np = 2\n\nwhile p <= N:\n    r = math.isqrt(N // p)\n    ans += (r + 1) // 2\n    p *= 2\n\nprint(ans)\n", "cost_usd": 0.000374, "chosen_rung": 4, "rungs_used": [4], "distribution": [1.1e-05, 6.3e-05, 0.0, 0.0, 0.999865, 6e-05, 0.0]}], "quote": {"measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "report_data": "f1ef240ba9063d46cb466b42eddac6474249cc45273f189599e7a081d0814649", "platform_sig": 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