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+ {"schema": 2, "epoch": 87849, "nonce": "acc7c6c729ae2d30", "hotkey": "5FRE1kqMJz8ddModcXUsCquuWhB8QHnjYib2iK2VfiFetkC5", "source_hash": "24837b9ae6895829747c5eb448673693fedbeb2e3e62a5ca170051a512053fc0", "weights_hash": "2e4d6a88063177a0a7a564f24e10b347ef48e87c9595a209162369a4fa4d4477", "model_id": "router", "total_cost_usd": 0.0006616129999999999, "n_calls": 6, "call_log_hash": "0dbdb99282394069c3f4fa5f90534a8b43a701a4c4b5267f33a04f8b1d7459ec", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 25.769, "tokens_in": 1198, "tokens_out": 1619, "results": [{"benchmark": "mmlu", "task_id": "mmlu-7732", "answer": "D", "cost_usd": 2.096e-05, "chosen_rung": 0, "rungs_used": [0], "distribution": [0.999898, 3.8e-05, 0.0, 0.0, 6.4e-05, 0.0, 0.0]}, {"benchmark": "mmlu", "task_id": "mmlu-3501", "answer": "D", "cost_usd": 3.748e-05, "chosen_rung": 0, "rungs_used": [0], "distribution": [0.999835, 1.3e-05, 0.0, 0.0, 0.000151, 0.0, 0.0]}, {"benchmark": "math", "task_id": "gsm8k-1045", "answer": "The first person's share is $420.\n\nLet the first person's share be \\(x\\). Then the second person's share is \\(x + 80\\), and the third person's share is \\(2(x + 80) = 2x + 160\\). The total sum is:\n\\[\nx + (x + 80) + (2x + 160) = 4x + 240 = 1920.\n\\]\nSolving for \\(x\\):\n\\[\n4x = 1920 - 240 = 1680 \\implies x = \\frac{1680}{4} = 420.\n\\]\n\n\\boxed{420}", "cost_usd": 8.5553e-05, "chosen_rung": 1, "rungs_used": [1], "distribution": [0.000105, 0.999567, 0.0, 0.0, 0.000326, 2e-06, 0.0]}, {"benchmark": "math", "task_id": "gsm8k-547", "answer": "The phone tree starts with Ali calling 3 families in the first round. In each subsequent round, every family that was notified in the previous round calls 3 new families. Therefore, the number of families notified in each round follows a geometric progression: round 1: 3, round 2: 3 \u00d7 3 = 9, round 3: 9 \u00d7 3 = 27, round 4: 27 \u00d7 3 = 81.\n\nThus, 81 families are notified during the fourth round.\n\n\\boxed{81}", "cost_usd": 0.00012852, "chosen_rung": 1, "rungs_used": [1], "distribution": [0.001391, 0.997882, 0.0, 0.0, 0.000226, 0.000501, 0.0]}, {"benchmark": "code", "task_id": "lcb-abc392_b", "answer": "import sys\n\ndef main():\n data = list(map(int, sys.stdin.buffer.read().split()))\n n, m = data[0], data[1]\n present = set(data[2:2 + m])\n missing = [i for i in range(1, n + 1) if i not in present]\n\n print(len(missing))\n print(*missing)\n\nif __name__ == \"__main__\":\n main()\n", "cost_usd": 9.79e-05, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.000162, 2e-05, 0.0, 0.0, 0.999018, 0.000799, 0.0]}, {"benchmark": "code", "task_id": "lcb-abc388_c", "answer": "import sys\n\ndef main():\n data = list(map(int, sys.stdin.buffer.read().split()))\n n = data[0]\n a = data[1:]\n\n ans = 0\n k = 0\n\n for j in range(n):\n while k < j and 2 * a[k] <= a[j]:\n k += 1\n ans += k\n\n print(ans)\n\nif __name__ == \"__main__\":\n main()\n", "cost_usd": 0.0002911999999999999, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.000269, 0.000557, 0.0, 0.0, 0.997582, 0.001593, 0.0]}], "quote": {"measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "report_data": "b6086a64e3a1892533084c57b4c19880157d7f66c8e35e7f2580909eb7c45f86", "platform_sig": 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