sn99-f / proofs /87724.json
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{"schema": 2, "epoch": 87724, "nonce": "d8bbf9b0e21e4401", "hotkey": "5FTZeWt4a9qGrMr89s7vZ47V1c3yY53ZTpRnqamWVtJZ72SH", "source_hash": "24837b9ae6895829747c5eb448673693fedbeb2e3e62a5ca170051a512053fc0", "weights_hash": "7870dc30c4bcf7089a89aebd25c7926d2b875424ed6cf65a30cbaf9de38c369c", "model_id": "router", "total_cost_usd": 0.004529399999999999, "n_calls": 6, "call_log_hash": "c1959100300439d0af7d42b73a1b45c93334703b13f6d79c045e6ea9e8d469ab", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 27.897, "tokens_in": 1513, "tokens_out": 1874, "results": [{"benchmark": "mmlu", "task_id": "mmlu-9275", "answer": "D", "cost_usd": 1.46e-05, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.006476, 0.006476, 0.006476, 0.006476, 0.961143, 0.006476, 0.006476]}, {"benchmark": "mmlu", "task_id": "mmlu-8065", "answer": "A", "cost_usd": 7.6e-06, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.006476, 0.006476, 0.006476, 0.006476, 0.961143, 0.006476, 0.006476]}, {"benchmark": "math", "task_id": "gsm8k-184", "answer": "A roll greater than 3 has probability \\(3/6=50\\%\\).\n\nRolling two even numbers in a row has probability \\((3/6)(3/6)=25\\%\\).\n\nThe first event is \\(25\\) percentage points higher, which is\n\n\\[\n\\frac{50\\%-25\\%}{25\\%}\\times 100\\%=100\\%\n\\]\n\nmore likely.\n\n\\[\n\\boxed{100\\%}\n\\]", "cost_usd": 0.0001448, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.006476, 0.006476, 0.006476, 0.006476, 0.961143, 0.006476, 0.006476]}, {"benchmark": "math", "task_id": "gsm8k-1289", "answer": "- Small shirts: \\(11 \\times 3 = 33\\) square feet \n- Medium shirts: \\(8 \\times 4 = 32\\) square feet \n- Large shirts: \\(6 \\times 6 = 36\\) square feet \n- Total: \\(33 + 32 + 36 = 101\\)\n\n101", "cost_usd": 8.839999999999998e-05, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.006476, 0.006476, 0.006476, 0.006476, 0.961143, 0.006476, 0.006476]}, {"benchmark": "code", "task_id": "lcb-abc399_b", "answer": "import sys\n\ndef main():\n input_data = sys.stdin.read().split()\n if not input_data:\n return\n N = int(input_data[0])\n P = [int(x) for x in input_data[1:]]\n \n for score in P:\n rank = 1 + sum(1 for other in P if other > score)\n print(rank)\n\nif __name__ == '__main__':\n main()", "cost_usd": 0.003522, "chosen_rung": 5, "rungs_used": [5], "distribution": [0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0]}, {"benchmark": "code", "task_id": "lcb-abc392_d", "answer": "import sys\n\ndata = list(map(int, sys.stdin.buffer.read().split()))\nidx = 0\nN = data[idx]\nidx += 1\n\ngroups = [[] for _ in range(100001)]\nK = [0] * N\n\nfor i in range(N):\n k = data[idx]\n idx += 1\n K[i] = k\n counts = {}\n for _ in range(k):\n a = data[idx]\n idx += 1\n counts[a] = counts.get(a, 0) + 1\n for a, c in counts.items():\n groups[a].append((i, c))\n\nsame = [[0] * N for _ in range(N)]\n\nfor entries in groups:\n m = len(entries)\n for p in range(m):\n i, ci = entries[p]\n for q in range(p + 1, m):\n j, cj = entries[q]\n same[i][j] += ci * cj\n\nanswer = 0.0\nfor i in range(N):\n for j in range(i + 1, N):\n probability = same[i][j] / (K[i] * K[j])\n if probability > answer:\n answer = probability\n\nprint(\"{:.15f}\".format(answer))", "cost_usd": 0.0007519999999999996, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0]}], "quote": {"measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "report_data": "5a61dcc7f0dc6ad7974fe0b5e9dcdf96b6d5f0b9644f73f4d0dd97e5ba55d590", "platform_sig": 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