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proofs/87665.json
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{"schema": 2, "epoch": 87665, "nonce": "2a424e1716e87d2e", "hotkey": "5Dq9NdL3ZABAy1FDavc9UqEJz1XUV1SgCRpqr1JqmmeCCCw8", "source_hash": "24837b9ae6895829747c5eb448673693fedbeb2e3e62a5ca170051a512053fc0", "weights_hash": "dce18c768f5dca6835c0784f990235d96ea2f1bb905ab6341841d9cccece15a7", "model_id": "router", "total_cost_usd": 0.00474342, "n_calls": 6, "call_log_hash": "60ca83f2bcc612bde1ba356d9c3e22d9a35096cc6746ba3b1c363a078b095437", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 37.549, "tokens_in": 1612, "tokens_out": 4311, "results": [{"benchmark": "mmlu", "task_id": "mmlu-8904", "answer": "D", "cost_usd": 0.0001212, "chosen_rung": 0, "rungs_used": [0], "distribution": [0.798333, 0.200338, 0.0, 0.0, 0.000787, 0.0, 0.000541]}, {"benchmark": "mmlu", "task_id": "mmlu-5870", "answer": "B", "cost_usd": 0.003948, "chosen_rung": 6, "rungs_used": [6], "distribution": [0.049549, 0.04656, 6e-06, 6e-06, 0.082869, 6e-06, 0.821004]}, {"benchmark": "math", "task_id": "gsm8k-442", "answer": "Start with the initial temperature: 40 degrees.\nDuring the 3 hours of baking, the temperature increases by 5 degrees each hour: 3 hours \u00d7 5 degrees/hour = 15 degrees.\nAdd this to the starting temperature: 40 + 15 = 55 degrees.\nNext, Marcus opens the window for 30 minutes. The house cools at a rate of 2 degrees per 10 minutes.\nIn 30 minutes, there are three 10-minute intervals (30 \u00f7 10 = 3), so the total temperature drop is: 3 \u00d7 2 = 6 degrees.\nSubtract this cooling from the current temperature: 55 - 6 = 49 degrees.\n\n49", "cost_usd": 0.00017872000000000027, "chosen_rung": 0, "rungs_used": [0], "distribution": [0.908093, 0.012489, 2e-06, 2e-06, 0.002324, 2e-06, 0.077089]}, {"benchmark": "math", "task_id": "gsm8k-582", "answer": "Step 1: Identify the value of Herb's house, which is $76,000.\nStep 2: Calculate the value of Juan's house. Since it is 30% less expensive than Herb's, it is worth 70% of Herb's house value: 0.70 \u00d7 $76,000 = $53,200.\nStep 3: Add the values of both houses together to find the combined total: $76,000 + $53,200 = $129,200.\n\n129200", "cost_usd": 0.00020259999999999983, "chosen_rung": 0, "rungs_used": [0], "distribution": [0.931372, 0.006683, 2e-06, 2e-06, 0.053845, 2e-06, 0.008094]}, {"benchmark": "code", "task_id": "lcb-abc388_b", "answer": "import sys\n\ndef main():\n data = list(map(int, sys.stdin.buffer.read().split()))\n n, d = data[0], data[1]\n snakes = [(data[i], data[i + 1]) for i in range(2, 2 + 2 * n, 2)]\n\n results = []\n for k in range(1, d + 1):\n results.append(str(max(t * (l + k) for t, l in snakes)))\n\n sys.stdout.write(\"\\n\".join(results))\n\nif __name__ == \"__main__\":\n main()\n", "cost_usd": 0.00011509999999999992, "chosen_rung": 4, "rungs_used": [4], "distribution": [3e-05, 6e-06, 0.0, 0.0, 0.999946, 0.0, 1.8e-05]}, {"benchmark": "code", "task_id": "lcb-abc399_c", "answer": "import sys\n\ndef main():\n input = sys.stdin.buffer.readline\n n, m = map(int, input().split())\n\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 kept = 0\n for _ in range(m):\n u, v = map(int, input().split())\n ru, rv = find(u), find(v)\n if ru != rv:\n if size[ru] < size[rv]:\n ru, rv = rv, ru\n parent[rv] = ru\n size[ru] += size[rv]\n kept += 1\n\n print(m - kept)\n\nif __name__ == \"__main__\":\n main()\n", "cost_usd": 0.00017779999999999966, "chosen_rung": 4, "rungs_used": [4], "distribution": [1.6e-05, 2.6e-05, 0.0, 0.0, 0.999931, 0.0, 2.7e-05]}], "quote": {"measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "report_data": "501a4b507b991f5f2d541c374b3b978dd81c3aa4702ab42aed0afff41a97bcdc", "platform_sig": 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