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proofs/87663.json

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+{"schema": 2, "epoch": 87663, "nonce": "4dbaabcdf4c86633", "hotkey": "5E26mnS3bACvPAsi2KkAD2ZC8oQmzcmEoGp9BXWXE9iwVF68", "source_hash": "24837b9ae6895829747c5eb448673693fedbeb2e3e62a5ca170051a512053fc0", "weights_hash": "f17c519353c3f44c37cd95f4e47320955d2342845def5060ca4ae9a76fc16ba6", "model_id": "router", "total_cost_usd": 0.00081812, "n_calls": 6, "call_log_hash": "e6ba802ff8df0cd5a3c23bb2e7487a5715a4535742abfeb99afbdcf4643b84e2", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 33.217, "tokens_in": 1622, "tokens_out": 1759, "results": [{"benchmark": "mmlu", "task_id": "mmlu-11351", "answer": "A", "cost_usd": 2.98e-05, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.017065, 0.017065, 0.0, 0.0, 0.931738, 0.017065, 0.017065]}, {"benchmark": "mmlu", "task_id": "mmlu-5254", "answer": "B", "cost_usd": 7.499999999999999e-06, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.017065, 0.017065, 0.0, 0.0, 0.931738, 0.017065, 0.017065]}, {"benchmark": "math", "task_id": "gsm8k-252", "answer": "Last night, Rick killed 15 cougars. Today, he killed 3 fewer:\n\n15 \u2212 3 = 12 cougars\n\nHe killed three times as many wolves:\n\n3 \u00d7 12 = 36 wolves\n\nTotal animals killed today:\n\n36 + 12 = 48\n\n48", "cost_usd": 0.0001107, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.017065, 0.017065, 0.0, 0.0, 0.931738, 0.017065, 0.017065]}, {"benchmark": "math", "task_id": "gsm8k-667", "answer": "- 4 quarters \u00d7 12 minutes = 48 minutes  \n- Overtime = 5 minutes  \n- Total = 48 + 5 = 53 minutes  \n\n53", "cost_usd": 5.8499999999999985e-05, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.017065, 0.017065, 0.0, 0.0, 0.931738, 0.017065, 0.017065]}, {"benchmark": "code", "task_id": "lcb-abc395_b", "answer": "N = int(input())\nfor i in range(N):\n    row = []\n    for j in range(N):\n        layer = min(i + 1, j + 1, N - i, N - j)\n        row.append('#' if layer % 2 == 1 else '.')\n    print(''.join(row))", "cost_usd": 0.0001716, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.017065, 0.017065, 0.0, 0.0, 0.931738, 0.017065, 0.017065]}, {"benchmark": "code", "task_id": "lcb-abc394_d", "answer": "```python\nimport sys\n\ndef main():\n    s = sys.stdin.readline().strip()\n    stack = []\n    matching = {')': '(', ']': '[', '>': '<'}\n    for ch in s:\n        if ch in '([<':\n            stack.append(ch)\n        else:  # closing bracket\n            if stack and stack[-1] == matching[ch]:\n                stack.pop()\n            else:\n                print(\"No\")\n                return\n    print(\"Yes\" if not stack else \"No\")\n\nif __name__ == \"__main__\":\n    main()\n```", "cost_usd": 0.00044002, "chosen_rung": 1, "rungs_used": [1], "distribution": [0.000329, 0.981044, 0.0, 0.0, 0.017968, 0.000329, 0.000329]}], "quote": {"measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "report_data": "5d16a62ba4bf16fe91aba37b1cbb01e6c8425a01a6b29f6778bf37bac65443ff", "platform_sig": 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