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proofs/87726.json
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{"schema": 2, "epoch": 87726, "nonce": "a9c3e18c541fa5f6", "hotkey": "5GuVFWnG62s4r1AGAfrhhHBMnsMPMXKNxrmBpeJdFGyCQEaX", "source_hash": "24837b9ae6895829747c5eb448673693fedbeb2e3e62a5ca170051a512053fc0", "weights_hash": "5f15eca0fad82272932867103208e68aff1869ae29090d5296d01e247cbbe561", "model_id": "router", "total_cost_usd": 0.002159583, "n_calls": 6, "call_log_hash": "c7672ec2d71327c8a51b9ba0824e02cc1346b718ad63d0452304e22b491b261e", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 62.566, "tokens_in": 1287, "tokens_out": 6896, "results": [{"benchmark": "mmlu", "task_id": "mmlu-2304", "answer": "D", "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-13732", "answer": "B", "cost_usd": 8.000000000000001e-06, "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-757", "answer": "Extra-small: 11 \nSmall: \\(2 \\times 11 = 22\\) \nMedium: \\(22 - 4 = 18\\) \nLarge: \\(18 \\div 2 = 9\\) \nExtra-large: \\(9 + 6 = 15\\)\n\nTotal: \\(11 + 22 + 18 + 9 + 15 = 75\\)\n\n75", "cost_usd": 0.00010559999999999999, "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-569", "answer": "Mitchell made:\n\n21 \u00d7 $4 = $84\n\nDifference:\n\n$84 \u2212 $63 = $21\n\n21", "cost_usd": 6.420000000000002e-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_b", "answer": "n, m = map(int, input().split())\n\nlimit = 10**9\ntotal = 0\npower = 1\n\nfor _ in range(m + 1):\n total += power\n if total > limit:\n print(\"inf\")\n break\n power *= n\nelse:\n print(total)\n", "cost_usd": 7.14e-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_d", "answer": "```python\nimport sys\n\ndef solve() -> None:\n data = sys.stdin.buffer.read().split()\n if not data:\n return\n n = int(data[0])\n A = list(map(int, data[1:1 + n]))\n\n ans = set()\n groups = [] # current sums of the bags that are non\u2011empty\n\n def dfs(idx: int, cur_xor: int) -> None:\n if idx == n:\n ans.add(cur_xor)\n return\n\n # add the current stone to an existing bag\n for j in range(len(groups)):\n old = groups[j]\n new = old + A[idx]\n groups[j] = new\n dfs(idx + 1, cur_xor ^ old ^ new)\n groups[j] = old\n\n # start a new bag with the current stone\n groups.append(A[idx])\n dfs(idx + 1, cur_xor ^ A[idx])\n groups.pop()\n\n dfs(0, 0)\n print(len(ans))\n\nif __name__ == \"__main__\":\n solve()\n```", "cost_usd": 0.0019001830000000002, "chosen_rung": 1, "rungs_used": [1], "distribution": [1e-06, 0.999998, 0.0, 0.0, 1e-06, 0.0, 0.0]}], "quote": {"measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "report_data": "9bd1ad0c7e897d170ad63bb9c0e59582bb75748234ac7be4b90f18189ede7577", "platform_sig": 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