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proofs/87559.json
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{"schema": 2, "epoch": 87559, "nonce": "4797fead7dcd21fc", "hotkey": "5CaXH581GtSjxFaFaJzSN35CyKzvFMQhRAxrNy6qmoztNiPz", "source_hash": "24837b9ae6895829747c5eb448673693fedbeb2e3e62a5ca170051a512053fc0", "weights_hash": "19aafcfeb694bb06e7fbbedbfd7fce6c50bd3389a57eeefd1b5d2e5475afdd62", "model_id": "router", "total_cost_usd": 0.00038630000000000007, "n_calls": 6, "call_log_hash": "6444a63b82adee203571b2b5abe27cb6140753c82296c69a9d0f91eaca1a559a", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 10.636, "tokens_in": 1205, "tokens_out": 443, "results": [{"benchmark": "mmlu", "task_id": "mmlu-189", "answer": "A", "cost_usd": 8.400000000000001e-06, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.004372, 6.8e-05, 6.9e-05, 9e-05, 0.995167, 0.000177, 5.9e-05]}, {"benchmark": "mmlu", "task_id": "mmlu-10768", "answer": "D", "cost_usd": 3.1100000000000004e-05, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.001591, 4.8e-05, 4.4e-05, 6.2e-05, 0.998097, 0.000121, 3.7e-05]}, {"benchmark": "math", "task_id": "gsm8k-673", "answer": "Let Sally have \\(S\\) books.\n\nJaney has 3 more than twice Sally\u2019s books:\n\n\\[\n2S+3=21\n\\]\n\nSubtract 3:\n\n\\[\n2S=18\n\\]\n\nDivide by 2:\n\n\\[\nS=9\n\\]\n\n9", "cost_usd": 9.39e-05, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.002265, 3.4e-05, 2.9e-05, 4.4e-05, 0.99751, 9.2e-05, 2.5e-05]}, {"benchmark": "math", "task_id": "gsm8k-763", "answer": "Let the second house need \\(x\\) cases.\n\n- First house: \\(\\frac{x}{2}\\)\n- Third house: \\(2 \\times \\frac{x}{2}=x\\)\n\nTotal:\n\\[\n\\frac{x}{2}+x+x=250\n\\]\n\\[\n2.5x=250\n\\]\n\\[\nx=100\n\\]\n\nThe third house needs:\n\n\\[\n\\boxed{100}\n\\]", "cost_usd": 0.00010020000000000002, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.017376, 0.000112, 8.6e-05, 0.000137, 0.98196, 0.000254, 7.5e-05]}, {"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": 4.810000000000003e-05, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.035223, 7.3e-05, 5.7e-05, 9.3e-05, 0.96432, 0.000186, 4.8e-05]}, {"benchmark": "code", "task_id": "lcb-abc394_d", "answer": "s = input().strip()\n\nstack = []\npairs = {')': '(', ']': '[', '>': '<'}\n\nfor ch in s:\n if ch in '([{<':\n stack.append(ch)\n else:\n if not stack or stack[-1] != pairs[ch]:\n print(\"No\")\n break\n stack.pop()\nelse:\n print(\"Yes\" if not stack else \"No\")", "cost_usd": 0.0001046, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.000122, 4e-06, 3e-06, 6e-06, 0.99985, 1.1e-05, 3e-06]}], "quote": {"measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "report_data": "827f8fb38d912e1718aeed0ca9abb0daebee4215d7126f7e4e68f24fe6e17466", "platform_sig": 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