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+ {"schema": 2, "epoch": 88204, "nonce": "f49ab2a8b7d62caf", "hotkey": "5CSd73v8fQTHK9B1cLvebvM9q4qYNgdbAZu6V8bpjRJRDje4", "source_hash": "2cbd1db43e82f30b469fa105cf77ca1753500babff023f17a7840489f3927b13", "weights_hash": "7c642ff00c4321f949635c8a6a6f4ce3b026e419941af1c0aba3ca853d48aec7", "model_id": "injected", "total_cost_usd": 0.0027441, "n_calls": 8, "call_log_hash": "62e9bfb89a20dffa1ae3adf9e9c74231cd894a1fbc8fd70f6a6844f26d083834", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 51.934, "tokens_in": 2661, "tokens_out": 4130, "results": [{"benchmark": "mmlu", "task_id": "mmlu-6902", "answer": "A", "cost_usd": 3.48e-05, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "mmlu", "task_id": "mmlu-10685", "answer": "B", "cost_usd": 0.0003408, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "math", "task_id": "gsm8k-184", "answer": "A roll greater than 3 has probability \\(3/6=1/2\\).\n\nRolling two even numbers in a row has probability \\((3/6)(3/6)=1/4\\).\n\nThe relative increase is\n\\[\n\\frac{1/2-1/4}{1/4}\\times 100\\%=100\\%.\n\\]\n\n\\[\n\\boxed{100\\%}\n\\]", "cost_usd": 0.0001559, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "math", "task_id": "gsm8k-1176", "answer": "1. The original chalk piece is 5 inches long.\n2. On Monday, he used \\(45\\%\\) of it:\n \\[\n 0.45 \\times 5 = 2.25\\text{ inches}\n \\]\n3. Chalk remaining after Monday:\n \\[\n 5 - 2.25 = 2.75\\text{ inches}\n \\]\n4. Each usual day, he uses \\(20\\%\\) of the original 5-inch piece:\n \\[\n 0.20 \\times 5 = 1\\text{ inch}\n \\]\n5. After one more day:\n \\[\n 2.75 - 1 = 1.75\\text{ inches}\n \\]\n This is smaller than 2 inches, so he must recycle it.\n\n1", "cost_usd": 0.0003020000000000001, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "code", "task_id": "lcb-abc400_b", "answer": "n, m = map(int, input().split())\n\nlimit = 10**9\ntotal = 0\npower = 1\n\nfor _ in range(m + 1):\n total += power\n if total > limit:\n print(\"inf\")\n break\n power *= n\nelse:\n print(total)\n", "cost_usd": 0.0006363, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "code", "task_id": "lcb-abc399_c", "answer": "import sys\n\ndef main():\n data = list(map(int, sys.stdin.buffer.read().split()))\n if not data:\n return\n\n n, m = data[0], data[1]\n parent = list(range(n + 1))\n size = [1] * (n + 1)\n\n def find(x):\n while parent[x] != x:\n parent[x] = parent[parent[x]]\n x = parent[x]\n return x\n\n deleted = 0\n idx = 2\n for _ in range(m):\n u, v = data[idx], data[idx + 1]\n idx += 2\n ru, rv = find(u), find(v)\n\n if ru == rv:\n deleted += 1\n else:\n if size[ru] < size[rv]:\n ru, rv = rv, ru\n parent[rv] = ru\n size[ru] += size[rv]\n\n print(deleted)\n\nif __name__ == \"__main__\":\n main()\n", "cost_usd": 0.0012743000000000001, "chosen_rung": -1, "rungs_used": [], "distribution": []}], "quote": {"measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "report_data": "8502f16bb73d51fd626bbac741cd3bc3d00ed39abbfdbed01754a9bcfe853491", "platform_sig": 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