koth-fp3 / proofs /87854.json
andreas11112's picture
Upload proofs/87854.json with huggingface_hub
85b3587 verified
Raw
History Blame Contribute Delete
14 kB
{"schema": 2, "epoch": 87854, "nonce": "1dd95ed473a514fc", "hotkey": "5FRE1kqMJz8ddModcXUsCquuWhB8QHnjYib2iK2VfiFetkC5", "source_hash": "24837b9ae6895829747c5eb448673693fedbeb2e3e62a5ca170051a512053fc0", "weights_hash": "2e4d6a88063177a0a7a564f24e10b347ef48e87c9595a209162369a4fa4d4477", "model_id": "router", "total_cost_usd": 0.0014846922, "n_calls": 6, "call_log_hash": "d59f8ac7a0df1e0040c4f64efabb43b4b86a733e65dfcf0bc0f1570ec1868703", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 54.592, "tokens_in": 1266, "tokens_out": 3611, "results": [{"benchmark": "mmlu", "task_id": "mmlu-8081", "answer": "A", "cost_usd": 3.143e-05, "chosen_rung": 0, "rungs_used": [0], "distribution": [0.997724, 0.001991, 0.0, 0.0, 0.000128, 0.000157, 0.0]}, {"benchmark": "mmlu", "task_id": "mmlu-992", "answer": "C", "cost_usd": 9.564000000000001e-05, "chosen_rung": 0, "rungs_used": [0], "distribution": [0.999508, 2.7e-05, 0.0, 0.0, 0.000464, 0.0, 0.0]}, {"benchmark": "math", "task_id": "gsm8k-331", "answer": "Job A: Gross pay = $15/hour \u00d7 2000 hours = $30,000. After 20% tax, net = $30,000 \u00d7 0.80 = $24,000.\n\nJob B: Gross pay = $42,000. Property tax = $6,000. Net after property tax = $42,000 - $6,000 = $36,000. Income tax at 10% = $36,000 \u00d7 0.10 = $3,600. Total net = $42,000 - $6,000 - $3,600 = $32,400.\n\nDifference = $32,400 - $24,000 = $8,400.\n\n\\boxed{8400}", "cost_usd": 0.00027342, "chosen_rung": 1, "rungs_used": [1], "distribution": [0.007965, 0.991354, 0.0, 0.0, 6e-05, 0.000622, 0.0]}, {"benchmark": "math", "task_id": "gsm8k-722", "answer": "Ron saves $255 by fixing the pothole himself.\n\nThe damage from not fixing it is $450. The cost to fix it includes a $120 fine and $75 for three buckets of asphalt, totaling $195. The savings are $450 - $195 = $255.\n\n\\boxed{255}", "cost_usd": 3.930219999999997e-05, "chosen_rung": 1, "rungs_used": [1], "distribution": [0.004367, 0.995122, 0.0, 0.0, 0.000165, 0.000346, 0.0]}, {"benchmark": "code", "task_id": "lcb-abc389_b", "answer": "import sys\n\nx = int(sys.stdin.readline())\nn = 1\nfactorial = 1\n\nwhile factorial < x:\n n += 1\n factorial *= n\n\nprint(n)", "cost_usd": 4.8099999999999977e-05, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.000207, 0.001125, 0.0, 0.0, 0.994375, 0.004293, 0.0]}, {"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 = data[1:]\n\nvalues = set()\nblocks = [0] * N\n\ndef dfs(i, block_count, current_xor):\n if i == N:\n values.add(current_xor)\n return\n\n a = A[i]\n\n for j in range(block_count):\n old = blocks[j]\n new = old + a\n blocks[j] = new\n dfs(i + 1, block_count, current_xor ^ old ^ new)\n blocks[j] = old\n\n blocks[block_count] = a\n dfs(i + 1, block_count + 1, current_xor ^ a)\n blocks[block_count] = 0\n\ndfs(0, 0, 0)\nprint(len(values))", "cost_usd": 0.0009968, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.000754, 0.001644, 0.0, 0.0, 0.991388, 0.006213, 0.0]}], "quote": {"measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "report_data": "c8d4ddebeafb001ab8d30e09c766dee3ea33a3424b6e8815bba0628bdd482e43", "platform_sig": "tdx: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"}}