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proofs/87941.json
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{"schema": 2, "epoch": 87941, "nonce": "6fff6077b2ad70e9", "hotkey": "5EWZACVeSEagMgeeZXFqPW133D4uPXzzaJoMWdFuAetBzDgA", "source_hash": "429b711433d4f27c2f3e3e60dffa3581408dfb07d66d4ff4bcc2938b6f58bbfb", "weights_hash": "fb860c9141c0801b552e7a9b976ffce93b565e451e24d2ddf7ce89d317928bcd", "model_id": "injected", "total_cost_usd": 0.0007359, "n_calls": 6, "call_log_hash": "6416fe91b0da375ef931f954d9b478a48f3cfaec88289f495b24314e6bd027c7", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 16.051, "tokens_in": 1737, "tokens_out": 937, "results": [{"benchmark": "mmlu", "task_id": "mmlu-6570", "answer": "D", "cost_usd": 5.11e-05, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "mmlu", "task_id": "mmlu-12181", "answer": "D", "cost_usd": 2.5799999999999997e-05, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "math", "task_id": "gsm8k-1291", "answer": "George has 18 pens.\n\nTimothy has \\(3 \\times 18 = 54\\) pens.\n\nSarah has half as many as Timothy: \\(54 \\div 2 = 27\\).\n\n27", "cost_usd": 6.319999999999999e-05, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "math", "task_id": "gsm8k-273", "answer": "The collar takes \\(900 \\div 10 = 90\\) stitches.\n\nThe rosette takes \\(2 \\times 90 = 180\\) stitches.\n\nTogether with the body: \\(900 + 90 + 180 = 1170\\) stitches.\n\nRemaining for two sleeves: \\(1800 - 1170 = 630\\) stitches.\n\nEach sleeve takes \\(630 \\div 2 = 315\\) stitches.\n\n315", "cost_usd": 0.00010419999999999998, "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": 7.14e-05, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "code", "task_id": "lcb-abc399_d", "answer": "import sys\n\ndata = sys.stdin.buffer.read().split()\nidx = 0\nt = int(data[idx])\nidx += 1\nanswers = []\n\nfor _ in range(t):\n n = int(data[idx])\n idx += 1\n\n a = [0] * (2 * n)\n first = [-1] * (n + 1)\n second = [-1] * (n + 1)\n\n for i in range(2 * n):\n v = int(data[idx])\n idx += 1\n a[i] = v\n if first[v] == -1:\n first[v] = i\n else:\n second[v] = i\n\n self_couples = {v for v in range(1, n + 1) if second[v] == first[v] + 1}\n\n f = set()\n g = set()\n\n for j in range(2 * n - 1):\n u = a[j]\n w = a[j + 1]\n if u == w:\n continue\n\n pair = (u, w) if u < w else (w, u)\n\n if j == first[u] and j + 1 == first[w]:\n f.add(pair)\n if j == second[u] and j + 1 == second[w]:\n g.add(pair)\n\n answers.append(str(sum(\n 1 for u, v in f & g\n if u not in self_couples and v not in self_couples\n )))\n\nsys.stdout.write(\"\\n\".join(answers))", "cost_usd": 0.0004202000000000001, "chosen_rung": -1, "rungs_used": [], "distribution": []}], "quote": {"measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "report_data": "7f386159226c3d2c10e478906e4dc556ac9a1d982832d29ae440904f9d7ce036", "platform_sig": 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