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proofs/87700.json
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{"schema": 2, "epoch": 87700, "nonce": "fa4a531a43ec801d", "hotkey": "5E26mnS3bACvPAsi2KkAD2ZC8oQmzcmEoGp9BXWXE9iwVF68", "source_hash": "24837b9ae6895829747c5eb448673693fedbeb2e3e62a5ca170051a512053fc0", "weights_hash": "f17c519353c3f44c37cd95f4e47320955d2342845def5060ca4ae9a76fc16ba6", "model_id": "router", "total_cost_usd": 0.004887580000000001, "n_calls": 7, "call_log_hash": "63d6f6b1a690c1048e73dc31114755bed8c06d74e3a377125bd323c26d491ea1", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 217.629, "tokens_in": 1807, "tokens_out": 25170, "results": [{"benchmark": "mmlu", "task_id": "mmlu-2843", "answer": "D", "cost_usd": 5.01e-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-5589", "answer": "B", "cost_usd": 3.6599999999999995e-05, "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-935", "answer": "1. Difference in production: \\(60 - 45 = 15\\) widgets/hour \n2. Difference in revenue: \\(15 \\times \\$6 = \\$90\\)/hour \n3. Operating time: \\(24 \\times 30 = 720\\) hours \n4. Extra money: \\(\\$90 \\times 720 = \\$64{,}800\\)\n\n64800", "cost_usd": 9.92e-05, "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-1267", "answer": "10 two-legged animals: \\(10 \\times 2 = 20\\) legs. \n15 four-legged animals: \\(15 \\times 4 = 60\\) legs. \nTotal: \\(20 + 60 = 80\\) legs. \nPairs: \\(80 \\div 2 = 40\\).\n\n40", "cost_usd": 8.069999999999998e-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-abc392_a", "answer": "import sys\nfrom itertools import permutations\n\na = list(map(int, sys.stdin.read().split()))\n\nfor b1, b2, b3 in permutations(a):\n if b1 * b2 == b3:\n print(\"Yes\")\n break\nelse:\n print(\"No\")", "cost_usd": 6.550000000000002e-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-abc388_d", "answer": "```python\nimport sys\n\ndef main():\n data = sys.stdin.buffer.read().split()\n if not data:\n return\n it = iter(data)\n N = int(next(it))\n A = [int(next(it)) for _ in range(N)]\n\n maxA = max(A) if A else 0\n maxX = maxA + 2 * N + 5 # sufficiently large, 1-indexed\n bit = [0] * (maxX + 2) # Fenwick tree\n\n # Fenwick tree operations\n def bit_add(idx, val):\n while idx <= maxX:\n bit[idx] += val\n idx += idx & -idx\n\n def bit_sum(idx):\n res = 0\n while idx > 0:\n res += bit[idx]\n idx -= idx & -idx\n return res\n\n R = [0] * N # R_i for each alien\n\n for i in range(1, N + 1): # 1-indexed\n if i == 1:\n ri = 0\n else:\n ri = (i - 1) - bit_sum(i - 1)\n R[i - 1] = ri\n X = A[i - 1] + ri + i\n bit_add(X, 1)\n\n # compute final stones\n B = [0] * N\n for i in range(1, N + 1):\n val = A[i - 1] + R[i - 1] - (N - i)\n B[i - 1] = val if val > 0 else 0\n\n sys.stdout.write(' '.join(map(str, B)))\n\nif __name__ == \"__main__\":\n main()\n```", "cost_usd": 0.004555480000000001, "chosen_rung": 0, "rungs_used": [0, 1], "distribution": [0.981044, 0.000329, 0.0, 0.0, 0.017968, 0.000329, 0.000329]}], "quote": {"measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "report_data": "90e39a9e5064485d92fed83035ef184f6ae6bdd54462e59a325e0c282ede70f2", "platform_sig": 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