proofs/87702.json

{"schema": 2, "epoch": 87702, "nonce": "7517b594db5ca2ee", "hotkey": "5GuVFWnG62s4r1AGAfrhhHBMnsMPMXKNxrmBpeJdFGyCQEaX", "source_hash": "24837b9ae6895829747c5eb448673693fedbeb2e3e62a5ca170051a512053fc0", "weights_hash": "5f15eca0fad82272932867103208e68aff1869ae29090d5296d01e247cbbe561", "model_id": "router", "total_cost_usd": 0.0005343, "n_calls": 6, "call_log_hash": "438a33d3e556d11bb48f01705306639b98e7b8d18cb2efb38e91eef30e37f445", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 14.956, "tokens_in": 903, "tokens_out": 740, "results": [{"benchmark": "mmlu", "task_id": "mmlu-3775", "answer": "A", "cost_usd": 1.02e-05, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0]}, {"benchmark": "mmlu", "task_id": "mmlu-238", "answer": "C", "cost_usd": 1.34e-05, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0]}, {"benchmark": "math", "task_id": "gsm8k-957", "answer": "Aliya is 3 years old.\n\nShawna is three times Aliya\u2019s age: \\(3 \\times 3 = 9\\).\n\nHer father is five times Shawna\u2019s age: \\(5 \\times 9 = 45\\).\n\n45", "cost_usd": 6.88e-05, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0]}, {"benchmark": "math", "task_id": "gsm8k-50", "answer": "252 \u00d7 7 = 1,764 eggs per week  \n1,764 \u00f7 12 = 147 dozen  \n147 \u00d7 $2 = $294  \n\n294", "cost_usd": 6.020000000000001e-05, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0]}, {"benchmark": "code", "task_id": "lcb-abc390_a", "answer": "import sys\n\na = list(map(int, sys.stdin.read().split()))\n\nfor i in range(4):\n    b = a[:]\n    b[i], b[i + 1] = b[i + 1], b[i]\n    if b == [1, 2, 3, 4, 5]:\n        print(\"Yes\")\n        break\nelse:\n    print(\"No\")\n", "cost_usd": 8.45e-05, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0]}, {"benchmark": "code", "task_id": "lcb-abc400_c", "answer": "import sys\nimport math\n\nN = int(sys.stdin.readline())\nans = 0\np = 2\n\nwhile p <= N:\n    r = math.isqrt(N // p)\n    ans += (r + 1) // 2\n    p *= 2\n\nprint(ans)\n", "cost_usd": 0.0002972, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0]}], "quote": {"measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "report_data": "a3238e7ae40607903b1151bfcfcaeffcc0be7cfa958b4a1bccdefdb005092e00", "platform_sig": "tdx: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"}}