| {"schema": 2, "epoch": 87638, "nonce": "3e72e17c47ac6aed", "hotkey": "5GuVFWnG62s4r1AGAfrhhHBMnsMPMXKNxrmBpeJdFGyCQEaX", "source_hash": "24837b9ae6895829747c5eb448673693fedbeb2e3e62a5ca170051a512053fc0", "weights_hash": "095ffbac36e314358948a86370be2e0be5384b2278d5ee9bc924d7f155c7d474", "model_id": "router", "total_cost_usd": 0.0008736, "n_calls": 6, "call_log_hash": "35471f11af7d2327c98bc4ba32d77587b9c1ca58bcc45048179ed7c7e4bcba4e", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 42.465, "tokens_in": 1230, "tokens_out": 1251, "results": [{"benchmark": "mmlu", "task_id": "mmlu-13582", "answer": "B", "cost_usd": 8.9e-06, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.005346, 0.001319, 0.001191, 0.0012, 0.96523, 0.01738, 0.008336]}, {"benchmark": "mmlu", "task_id": "mmlu-905", "answer": "B", "cost_usd": 5.769999999999999e-05, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.014791, 0.004156, 0.004127, 0.004142, 0.827932, 0.12576, 0.019092]}, {"benchmark": "math", "task_id": "gsm8k-395", "answer": "Erica started with 20 cards and received 30 more from her dad:\n\n20 + (2 \u00d7 15) = 50\n\nShe passed out 24 + 5 = 29 cards:\n\n50 \u2212 29 = 21\n\nThen she received 17 cards:\n\n21 + 17 = 38\n\n38", "cost_usd": 7.83e-05, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.009168, 0.002523, 0.002301, 0.002338, 0.916822, 0.030787, 0.036061]}, {"benchmark": "math", "task_id": "gsm8k-897", "answer": "Martha initially had \\(7 - 5 = 2\\) notebooks.\n\nJoseph had \\(3 \\times 2 = 6\\) notebooks.\n\nMartha now has \\(7\\), so she has \\(7 - 6 = 1\\) more than Joseph.\n\n\\[\n1\n\\]", "cost_usd": 9.620000000000001e-05, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.004964, 0.001235, 0.001117, 0.001118, 0.957574, 0.013335, 0.020658]}, {"benchmark": "code", "task_id": "lcb-abc388_b", "answer": "import sys\n\ndef main():\n input = sys.stdin.readline\n n, d = map(int, input().split())\n snakes = [tuple(map(int, input().split())) for _ in range(n)]\n\n for k in range(1, d + 1):\n print(max(t * (l + k) for t, l in snakes))\n\nif __name__ == \"__main__\":\n main()\n", "cost_usd": 9.289999999999998e-05, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.006808, 0.001895, 0.001757, 0.001753, 0.762751, 0.019101, 0.205935]}, {"benchmark": "code", "task_id": "lcb-abc392_d", "answer": "import sys\nfrom collections import Counter\n\ndef main():\n data = list(map(int, sys.stdin.buffer.read().split()))\n n = data[0]\n pos = 1\n\n ks = []\n dice = []\n max_value = 100000\n\n by_value = [[] for _ in range(max_value + 1)]\n\n for i in range(n):\n k = data[pos]\n pos += 1\n values = data[pos:pos + k]\n pos += k\n ks.append(k)\n\n counts = Counter(values)\n dice.append(counts)\n for value, count in counts.items():\n by_value[value].append((i, count))\n\n scores = [[0] * n for _ in range(n)]\n\n for entries in by_value:\n m = len(entries)\n for a in range(m):\n i, ci = entries[a]\n row = scores[i]\n for b in range(a + 1, m):\n j, cj = entries[b]\n row[j] += ci * cj\n\n answer = 0.0\n for i in range(n):\n for j in range(i + 1, n):\n probability = scores[i][j] / (ks[i] * ks[j])\n if probability > answer:\n answer = probability\n\n print(\"{:.15f}\".format(answer))\n\nif __name__ == \"__main__\":\n main()\n", "cost_usd": 0.0005396, "chosen_rung": 4, "rungs_used": [4], "distribution": [0.004115, 0.001047, 0.000941, 0.000926, 0.885773, 0.006896, 0.100302]}], "quote": {"measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "report_data": "9ad39b4bfe94682cb09e397c1600a461f9f8d7290c0989fb8e6499c6a7c02349", "platform_sig": "tdx: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"}} |