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proofs/87901.json
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{"schema": 2, "epoch": 87901, "nonce": "b4a93b5311dd49f8", "hotkey": "5E26mnS3bACvPAsi2KkAD2ZC8oQmzcmEoGp9BXWXE9iwVF68", "source_hash": "b1200f53b6d373f72e136226f9c053d4522ef767baa9a2f551b7d2c9c8dd832d", "weights_hash": "5e7aa68cd187306d00efa8f312de5f29973630c9f64bee51f547e8c27caf50ed", "model_id": "injected", "total_cost_usd": 0.0009173499999999999, "n_calls": 6, "call_log_hash": "5cc03572cbdd1eb28ae9f6941000f515bb711a057e7a34d7cf1e01cc5e8a49dc", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 28.61, "tokens_in": 1816, "tokens_out": 1183, "results": [{"benchmark": "mmlu", "task_id": "mmlu-1614", "answer": "C", "cost_usd": 1e-05, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "mmlu", "task_id": "mmlu-8238", "answer": "B", "cost_usd": 3.8e-05, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "math", "task_id": "gsm8k-551", "answer": "Five hamburgers: \\(5 \\times \\$4 = \\$20\\)\n\nTen packs of fries: \\(10 \\times \\$0.30 = \\$3\\)\n\nFive fruit drinks: \\(5 \\times \\$2 = \\$10\\)\n\nTotal cost: \\(\\$20 + \\$3 + \\$10 = \\$33\\)\n\nChange: \\(\\$50 - \\$33 = \\$17\\)\n\n17", "cost_usd": 9.35e-05, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "math", "task_id": "gsm8k-415", "answer": "Joanne gathers:\n- 30 apples from the tallest trees\n- \\(30 \\div 2 = 15\\) apples from the shortest trees\n- \\(x\\) apples from the average trees\n\nHer sister gathers:\n- \\(2 \\times 30 = 60\\) apples from the tallest trees\n- \\(3 \\times 15 = 45\\) apples from the shortest trees\n- 0 apples from the average trees\n\nTogether, excluding Joanne\u2019s average-tree apples, they gather:\n\n\\[\n30+15+60+45=150\n\\]\n\nThus, Joanne gathers:\n\n\\[\n500-150=350\n\\]\n\n350", "cost_usd": 0.00014669999999999996, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "code", "task_id": "lcb-abc392_a", "answer": "import sys\n\na, b, c = map(int, sys.stdin.read().split())\n\nprint(\"Yes\" if a * b == c or a * c == b or b * c == a else \"No\")", "cost_usd": 5.870000000000002e-05, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "code", "task_id": "lcb-abc390_d", "answer": "import sys\n\nsys.setrecursionlimit(100000)\n\ndata = list(map(int, sys.stdin.buffer.read().split()))\nn = data[0]\na = sorted(data[1:], reverse=True)\n\nblocks = [a[0]]\nanswers = set()\n\ndef dfs(pos, acc):\n if pos == n - 1:\n w = a[pos]\n answers.add(acc ^ w)\n for g in blocks:\n answers.add(acc ^ g ^ (g + w))\n return\n\n v = a[pos]\n seen_sums = set()\n\n for i in range(len(blocks)):\n g = blocks[i]\n if g in seen_sums:\n continue\n seen_sums.add(g)\n\n blocks[i] = g + v\n dfs(pos + 1, acc ^ g ^ (g + v))\n blocks[i] = g\n\n blocks.append(v)\n dfs(pos + 1, acc ^ v)\n blocks.pop()\n\ndfs(1, a[0])\nprint(len(answers))", "cost_usd": 0.0005704499999999999, "chosen_rung": -1, "rungs_used": [], "distribution": []}], "quote": {"measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "report_data": "7f5cb529cef11a045707b0c14c61fed0eb8a9ef8cb51a465eb867ff81b6cf781", "platform_sig": 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