koth-fp3 / proofs /87842.json
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{"schema": 2, "epoch": 87842, "nonce": "bc12f185e49ec034", "hotkey": "5FRE1kqMJz8ddModcXUsCquuWhB8QHnjYib2iK2VfiFetkC5", "source_hash": "24837b9ae6895829747c5eb448673693fedbeb2e3e62a5ca170051a512053fc0", "weights_hash": "2e4d6a88063177a0a7a564f24e10b347ef48e87c9595a209162369a4fa4d4477", "model_id": "router", "total_cost_usd": 0.036741524, "n_calls": 6, "call_log_hash": "6567361e77bcbb99f1ff7786b6fa761c49d7f456628d56c7b5600ccd1f443f1b", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 43.006, "tokens_in": 1109, "tokens_out": 6035, "results": [{"benchmark": "mmlu", "task_id": "mmlu-8330", "answer": "A", "cost_usd": 6.676e-05, "chosen_rung": 0, "rungs_used": [0], "distribution": [0.999923, 1.1e-05, 0.0, 0.0, 6.5e-05, 1e-06, 0.0]}, {"benchmark": "mmlu", "task_id": "mmlu-7560", "answer": "B", "cost_usd": 2.9349999999999995e-05, "chosen_rung": 0, "rungs_used": [0], "distribution": [0.999941, 1.5e-05, 0.0, 0.0, 4.4e-05, 0.0, 0.0]}, {"benchmark": "math", "task_id": "gsm8k-741", "answer": "Jeremy initially saw 12 birds. He scared away 1/3 of them, which is 12 \u00d7 1/3 = 4 birds. So 12 - 4 = 8 birds remained. Then 20 more birds joined, making the total 8 + 20 = 28 birds.\n\n\\boxed{28}", "cost_usd": 4.6385999999999986e-05, "chosen_rung": 1, "rungs_used": [1], "distribution": [0.000221, 0.999575, 0.0, 0.0, 3.5e-05, 0.000168, 0.0]}, {"benchmark": "math", "task_id": "gsm8k-761", "answer": "Jana has 27 puppies in total.\n\nLet \\( T \\) be the total number of puppies. Then the number of Pomeranians is \\( \\frac{2}{3}T \\). The number of Pomeranian girls is \\( \\frac{1}{3} \\) of the Pomeranians, so \\( \\frac{1}{3} \\times \\frac{2}{3}T = \\frac{2}{9}T \\). This equals 6, so \\( \\frac{2}{9}T = 6 \\), giving \\( T = 6 \\times \\frac{9}{2} = 27 \\).\n\n\\boxed{27}", "cost_usd": 5.2128e-05, "chosen_rung": 1, "rungs_used": [1], "distribution": [0.000275, 0.999621, 0.0, 0.0, 9.5e-05, 9e-06, 0.0]}, {"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": 7.140000000000003e-05, "chosen_rung": 4, "rungs_used": [4], "distribution": [8e-06, 7.9e-05, 0.0, 0.0, 0.999896, 1.7e-05, 0.0]}, {"benchmark": "code", "task_id": "lcb-abc388_d", "answer": "import sys\n\ndef solve():\n input = sys.stdin.read\n data = input().split()\n if not data:\n return\n \n N = int(data[0])\n A = [int(x) for x in data[1:N+1]]\n \n diff = [0] * (N + 2)\n E = [0] * N\n \n current_G = 0\n for k in range(1, N + 1):\n current_G += diff[k]\n c_k = A[k - 1] + current_G\n e_k = k + c_k\n E[k - 1] = e_k\n \n if e_k >= k + 1:\n diff[k + 1] += 1\n if e_k + 1 <= N + 1:\n diff[e_k + 1] -= 1\n \n ans = [max(0, E[k - 1] - N) for k in range(1, N + 1)]\n print(*(ans))\n\nif __name__ == '__main__':\n solve()", "cost_usd": 0.0364755, "chosen_rung": 5, "rungs_used": [5], "distribution": [5.1e-05, 0.000172, 0.0, 0.0, 0.000478, 0.999299, 0.0]}], "quote": {"measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "report_data": "0cb540d1098bfdb4bda3258978a289ef0a128021c62acafcafaeab4362eb951d", "platform_sig": 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