koth-fp3 / proofs /87873.json
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{"schema": 2, "epoch": 87873, "nonce": "eb290f255e5caf4a", "hotkey": "5FRE1kqMJz8ddModcXUsCquuWhB8QHnjYib2iK2VfiFetkC5", "source_hash": "24837b9ae6895829747c5eb448673693fedbeb2e3e62a5ca170051a512053fc0", "weights_hash": "2e4d6a88063177a0a7a564f24e10b347ef48e87c9595a209162369a4fa4d4477", "model_id": "router", "total_cost_usd": 0.0007824708, "n_calls": 6, "call_log_hash": "68408d3fcb15549d7e9ee96a43fc94a7a725fa5e69a371d20b434923c7b10596", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 26.888, "tokens_in": 1579, "tokens_out": 2264, "results": [{"benchmark": "mmlu", "task_id": "mmlu-4721", "answer": "B", "cost_usd": 0.00010396, "chosen_rung": 0, "rungs_used": [0], "distribution": [0.999772, 0.000182, 0.0, 0.0, 4.5e-05, 1e-06, 0.0]}, {"benchmark": "mmlu", "task_id": "mmlu-7891", "answer": "D", "cost_usd": 1.8649999999999993e-05, "chosen_rung": 0, "rungs_used": [0], "distribution": [0.998438, 0.000168, 0.0, 0.0, 0.001392, 2e-06, 0.0]}, {"benchmark": "math", "task_id": "gsm8k-1193", "answer": "Jason earned $9.00.\n\n- Dishwasher: 6 times \u00d7 $0.50 = $3.00\n- Laundry: 1 time \u00d7 $3.00 = $3.00\n- Trash: 2 times \u00d7 $0.75 = $1.50\n- Cleaning room: 1 time \u00d7 $1.50 = $1.50\nTotal: $3.00 + $3.00 + $1.50 + $1.50 = $9.00\n\n\\boxed{9}", "cost_usd": 6.562080000000001e-05, "chosen_rung": 1, "rungs_used": [1], "distribution": [0.000154, 0.999795, 0.0, 0.0, 2e-05, 3.1e-05, 0.0]}, {"benchmark": "math", "task_id": "gsm8k-541", "answer": "Let the daily savings in the first half of April be \\(x\\) dollars. Since the second half daily savings are twice that, they are \\(2x\\) dollars. April has 30 days, so the first half has 15 days and the second half has 15 days. The total savings are:\n\n\\[\n15x + 15(2x) = 15x + 30x = 45x\n\\]\n\nSet this equal to the target of $1125:\n\n\\[\n45x = 1125\n\\]\n\nSolve for \\(x\\):\n\n\\[\nx = \\frac{1125}{45} = 25\n\\]\n\nThus, the daily savings in the second half are:\n\n\\[\n2x = 2 \\times 25 = 50\n\\]\n\n\\boxed{50}", "cost_usd": 0.00015484, "chosen_rung": 1, "rungs_used": [1], "distribution": [0.000135, 0.999659, 0.0, 0.0, 8.4e-05, 0.000122, 0.0]}, {"benchmark": "code", "task_id": "lcb-abc395_b", "answer": "n = int(input())\nfor i in range(1, n + 1):\n row = []\n for j in range(1, n + 1):\n layer = min(i, j, n + 1 - i, n + 1 - j)\n row.append(\"#\" if layer % 2 == 1 else \".\")\n print(\"\".join(row))", "cost_usd": 0.00016139999999999997, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.000296, 0.000132, 0.0, 0.0, 0.995813, 0.003759, 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 p = 0\n ans = 0\n\n for i in range(n):\n while p < n and a[p] < 2 * a[i]:\n p += 1\n ans += n - p\n\n print(ans)\n\nif __name__ == \"__main__\":\n main()\n", "cost_usd": 0.00027800000000000004, "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": "3906cb27d0fec5cfeb165691485536a84f262f2fd6427e9383f119386189427e", "platform_sig": 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