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proofs/88381.json
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{"schema": 2, "epoch": 88381, "nonce": "4f2e944ae2c88515", "hotkey": "5FRE1kqMJz8ddModcXUsCquuWhB8QHnjYib2iK2VfiFetkC5", "source_hash": "1b6c06d6eb16e5e553195102d473d556ad2db09e4f698a599735242714efb202", "weights_hash": "f9ba14a964ea30142e764f44ef6523a81ddd943bd869d84b485d60d726d39b0e", "model_id": "injected", "total_cost_usd": 0.006454475, "n_calls": 6, "call_log_hash": "68c32418791f20ffe61b749ca449cc7b0750361c7abf7b0d9147c406e77c6bcb", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 34.886, "tokens_in": 2305, "tokens_out": 3390, "results": [{"benchmark": "mmlu", "task_id": "mmlu-13604", "answer": "B", "cost_usd": 0.00042, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "mmlu", "task_id": "mmlu-5255", "answer": "B", "cost_usd": 0.0013125, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "math", "task_id": "gsm8k-1069", "answer": "To find the total number of tons of fertiliser that reached the farmers, we can follow these steps:\n\n1. **Calculate the number of trucks that broke down:**\n A quarter of the 20 trucks had mechanical failures.\n $$\\text{Failed trucks} = \\frac{1}{4} \\times 20 = 5 \\text{ trucks}$$\n\n2. **Calculate the number of trucks that successfully delivered:**\n $$\\text{Successful trucks} = 20 - 5 = 15 \\text{ trucks}$$\n\n3. **Calculate the total tons of fertiliser delivered:**\n Each of the remaining 15 trucks was carrying 20 tons.\n $$\\text{Total tons delivered} = 15 \\times 20 = 300 \\text{ tons}$$\n\n300", "cost_usd": 0.00113475, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "math", "task_id": "gsm8k-320", "answer": "To find the number of women left at the party, we can follow these steps:\n\n1. **Calculate the initial total number of people:**\n $\\text{Total people} = 25 \\text{ (men)} + 15 \\text{ (women)} = 40 \\text{ people}$\n\n2. **Calculate how many people left after an hour:**\n $\\text{People who left} = \\frac{1}{4} \\times 40 = 10 \\text{ people}$\n\n3. **Calculate the total number of people remaining at the party:**\n $\\text{Total remaining} = 40 - 10 = 30 \\text{ people}$\n\n4. **Calculate the number of women remaining:**\n Since 22 men stayed, we subtract the remaining men from the total remaining people:\n $\\text{Women remaining} = 30 - 22 = 8$\n\n8", "cost_usd": 0.00207525, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "code", "task_id": "lcb-abc399_b", "answer": "import sys\n\ndef main():\n input = sys.stdin.readline\n n = int(input())\n scores = list(map(int, input().split()))\n\n ranks = [0] * n\n rank = 1\n\n for score in sorted(set(scores), reverse=True):\n indices = [i for i, value in enumerate(scores) if value == score]\n for i in indices:\n ranks[i] = rank\n rank += len(indices)\n\n print(\"\\n\".join(map(str, ranks)))\n\nif __name__ == \"__main__\":\n main()\n", "cost_usd": 0.0001416000000000004, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "code", "task_id": "lcb-abc400_d", "answer": "import sys\nfrom array import array\nfrom collections import deque\n\ninput = sys.stdin.buffer.readline\n\nH, W = map(int, input().split())\ngrid = b\"\".join(input().strip() for _ in range(H))\nA, B, C, D = map(int, input().split())\n\nstart = (A - 1) * W + (B - 1)\ntarget = (C - 1) * W + (D - 1)\nn = H * W\nINF = 10**9\n\ndist = array('i', [INF]) * n\nvisited = bytearray(n)\ndist[start] = 0\nq = deque([start])\n\nwhile q:\n v = q.popleft()\n if visited[v]:\n continue\n visited[v] = 1\n\n if v == target:\n print(dist[v])\n break\n\n r, c = divmod(v, W)\n nd = dist[v]\n\n if r > 0:\n u = v - W\n if grid[u] == 46 and not visited[u] and nd < dist[u]:\n dist[u] = nd\n q.appendleft(u)\n if r + 1 < H:\n u = v + W\n if grid[u] == 46 and not visited[u] and nd < dist[u]:\n dist[u] = nd\n q.appendleft(u)\n if c > 0:\n u = v - 1\n if grid[u] == 46 and not visited[u] and nd < dist[u]:\n dist[u] = nd\n q.appendleft(u)\n if c + 1 < W:\n u = v + 1\n if grid[u] == 46 and not visited[u] and nd < dist[u]:\n dist[u] = nd\n q.appendleft(u)\n\n nd1 = nd + 1\n\n if r > 0:\n u = v - W\n if not visited[u] and nd1 < dist[u]:\n dist[u] = nd1\n q.append(u)\n if r > 1:\n u = v - 2 * W\n if not visited[u] and nd1 < dist[u]:\n dist[u] = nd1\n q.append(u)\n\n if r + 1 < H:\n u = v + W\n if not visited[u] and nd1 < dist[u]:\n dist[u] = nd1\n q.append(u)\n if r + 2 < H:\n u = v + 2 * W\n if not visited[u] and nd1 < dist[u]:\n dist[u] = nd1\n q.append(u)\n\n if c > 0:\n u = v - 1\n if not visited[u] and nd1 < dist[u]:\n dist[u] = nd1\n q.append(u)\n if c > 1:\n u = v - 2\n if not visited[u] and nd1 < dist[u]:\n dist[u] = nd1\n q.append(u)\n\n if c + 1 < W:\n u = v + 1\n if not visited[u] and nd1 < dist[u]:\n dist[u] = nd1\n q.append(u)\n if c + 2 < W:\n u = v + 2\n if not visited[u] and nd1 < dist[u]:\n dist[u] = nd1\n q.append(u)", "cost_usd": 0.001370375, "chosen_rung": -1, "rungs_used": [], "distribution": []}], "quote": {"measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "report_data": "c6d7a3c9e7c0da70a47b42d398766b06abae5c6d827ca8b9d3dd222a5024d489", "platform_sig": 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