Add files using upload-large-folder tool

init.txt

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questions/10001.json

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+{"problem_id": "10001", "ground_truth": 3, "question": "A specialized bio-engineering facility monitors the concentration of a specific enzyme in a culture over several days. The daily concentration levels, denoted by $a_n$ for day $n$, are governed by a precise stability protocol: for any day $n$, the concentration three days ahead is determined by the formula $a_{n+3} = a_{n+2} - 2a_{n+1} + a_n$.\n\nOn the first day of the experiment, the concentration is measured at exactly $1$ unit. On the third day, the sensors again report a concentration of $1$ unit. During a long-term stability check much later in the process, the researchers observe that the concentration on day $98$ is identical to the concentration on day $99$.\n\nCalculate the total cumulative concentration of the enzyme recorded over the first $100$ days (the sum $a_{1} + a_{2} + \\dots + a_{100}$).", "part_a": {"attempts": [{"Attempt": 1, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 2, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 3, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 4, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 5, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 6, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 7, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 8, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 9, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 10, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 11, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 12, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 13, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 14, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 15, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 16, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}]}}

questions/10039.json

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+{"problem_id": "10039", "ground_truth": 2679, "question": "In a remote industrial sector, two logistics managers, Aris and Bron, are competing for control over a chemical distribution network. The network begins with two storage vats containing $a$ and $b$ liters of a volatile reagent, where $1 \\le a, b \\le 100$ and both are integers.\n\nThe managers take turns rebalancing the inventory according to a strict safety protocol. On each turn, the current manager must select a vat that contains an even number of liters. They then transfer exactly half of that vat's contents into the other vat. Aris always takes the first turn. \n\nThe operation concludes under two specific conditions:\n1. If a manager encounters a state where both vats contain an odd number of liters, they are unable to perform a transfer and immediately lose the contract.\n2. If the distribution of liters in the vats matches a state that has occurred previously in the sequence of turns, the protocol enters an infinite loop, resulting in a permanent stalemate (draw).\n\nBoth Aris and Bron are perfect logicians who will always play optimally to win, or to force a draw if a win is impossible.\n\nCalculate the total number of initial pairs $(a, b)$ within the specified range such that Bron has a guaranteed winning strategy.", "part_a": {"attempts": [{"Attempt": 1, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 2, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 3, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 4, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 5, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 6, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 7, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 8, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 9, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 10, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 11, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 12, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 13, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 14, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 15, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 16, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}]}}

questions/10071.json

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+{"problem_id": "10071", "ground_truth": 24, "question": "In a specialized culinary tournament, 20 chefs are competing for a grand prize. A panel of 9 food critics evaluates each chef by assigning them a distinct rank from 1 to 20, where 1 is the top rank and 20 is the lowest.\n\nDue to the consistent quality of the dishes, the critics' opinions are remarkably aligned: for every individual chef, the difference between the highest rank and the lowest rank they received from any two critics does not exceed 3.\n\nAt the end of the tournament, the nine ranks assigned to each chef are summed to create their total score. These 20 total scores are then sorted from lowest to highest, denoted as $C_{1} \\leqslant C_{2} \\leqslant \\cdots \\leqslant C_{20}$. Based on these constraints, what is the maximum possible value for the smallest total score, $C_{1}$?", "part_a": {"attempts": [{"Attempt": 1, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 2, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 3, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 4, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 5, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 6, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 7, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 8, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 9, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 10, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 11, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 12, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 13, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 14, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 15, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 16, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}]}}

questions/10079.json

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+{"problem_id": "10079", "ground_truth": 4, "question": "A specialized artificial intelligence, \"LogicStream,\" is designed to process data sequences. The system starts with an initial data feed $\\{a_n\\}$ consisting of a sequence of numerical values $a_1, a_2, a_3, \\dots$. LogicStream can generate new data sequences using only two types of internal protocols:\n\n1. **Arithmetic Protocol:** If LogicStream has generated two sequences, $\\{b_n\\}$ and $\\{c_n\\}$, it can produce a new sequence by performing term-wise addition $\\{b_n + c_n\\}$, subtraction $\\{b_n - c_n\\}$, multiplication $\\{b_n \\cdot c_n\\}$, or division $\\{b_n / c_n\\}$ (as long as every term in the divisor sequence $c_n$ is non-zero).\n2. **Shift Protocol:** If LogicStream has generated a sequence $\\{b_n\\}$, it can produce a new sequence $\\{b_{n+k}\\}$ for any positive integer $k$ by discarding the first $k$ packets of data.\n\nYou are testing the system's ability to recover the \"Standard Sequence\" $\\{n\\}$ (the sequence $1, 2, 3, \\dots$) from three different initial data feeds:\n- **Feed 1:** $a_n = n^2$\n- **Feed 2:** $a_n = n + \\sqrt{2}$\n- **Feed 3:** $a_n = \\frac{n^{2000} + 1}{n}$\n\nLet $S$ be the set of index numbers ($1, 2,$ or $3$) corresponding to the feeds from which the Standard Sequence $\\{n\\}$ can be successfully generated using any combination of the two protocols. Calculate the sum of the elements in $S$.", "part_a": {"attempts": [{"Attempt": 1, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 2, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 3, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 4, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 5, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 6, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 7, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 8, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 9, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 10, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 11, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 12, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 13, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 14, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 15, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 16, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}]}}

questions/10114.json

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+{"problem_id": "10114", "ground_truth": 288, "question": "In a vast desert, a logistics firm has established a triangular supply zone defined by three outposts: Alpha (A), Bravo (B), and Charlie (C). The perimeter of this zone forms an acute scalene triangle. \n\nThe firm’s central command hub is located at the zone's circumcenter, point O, which is equidistant from all three outposts. Satellite data confirms that the distance from the central hub (O) to outpost Alpha (A) is exactly 9 kilometers. Meanwhile, a long straight supply road connects outpost Bravo (B) directly to outpost Charlie (C), spanning a distance of 15 kilometers.\n\nA specialized maintenance depot is positioned at the zone's centroid, point G, which represents the average location of the three outposts. Aerial surveyors have noted a unique geographical feature: the straight-line paths connecting outpost Alpha (A), the maintenance depot (G), and the central hub (O) form a perfect right-angled triangle.\n\nDepending on the specific orientation of the outposts within these constraints, there are multiple possible configurations for this triangular region. Let $S$ be the sum of all possible values for the area of the triangular region formed by points A, G, and O.\n\nCompute $S^2$.", "part_a": {"attempts": [{"Attempt": 1, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 2, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 3, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 4, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 5, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 6, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 7, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 8, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 9, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 10, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 11, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 12, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 13, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 14, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 15, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 16, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}]}}

questions/10132.json

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+{"problem_id": "10132", "ground_truth": 2, "question": "In a specialized sustainable energy facility, a technician is calculating the \"System Stability Index\" using two distinct power sources.\n\nThe first source is a wind turbine with a base power output of $\\sqrt{2}$ units. Due to a recent hardware upgrade, this base value is raised to an exponent. The exponent is the sum of $1.5$ and the result of a secondary calculation derived from the facility’s thermal cooling unit.\n\nThe secondary calculation is determined by taking the negative-fourth root (the reciprocal of the fourth root) of a combined thermal load. This load is the sum of $11$ constant heat units and a variable efficiency ratio. The efficiency ratio is defined as the $5\\text{th}$ root of $5$, divided by $5$ raised to the power of negative $0.8$.\n\nTo find the final System Stability Index, the technician must evaluate the full expression:\n\n$$(\\sqrt{2})^{1.5 + \\sqrt[-4]{11 + \\frac{\\sqrt[5]{5}}{5^{-0.8}}}}$$\n\nWhat is the resulting System Stability Index?", "part_a": {"attempts": [{"Attempt": 1, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 2, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 3, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 4, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 5, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 6, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 7, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 8, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 9, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 10, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 11, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 12, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 13, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 14, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 15, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 16, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}]}}

questions/10161.json

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+{"problem_id": "10161", "ground_truth": 2000, "question": "An urban planner is designing a massive \"Grand Pavilion\" plaza, which must be a perfect square with side length $n$ meters. To pave the entire surface without any gaps or overlaps, the planner must use two specific types of square stone tiles: \n1. \"Standard\" grey tiles measuring $40 \\text{ m} \\times 40 \\text{ m}$.\n2. \"Feature\" marble tiles measuring $49 \\text{ m} \\times 49 \\text{ m}$.\n\nThe design specifications mandate that the final plaza must contain at least one tile of each type. What is the smallest possible integer value of $n$ for which this square plaza can be perfectly tiled using only these two sizes of square tiles?", "part_a": {"attempts": [{"Attempt": 1, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 2, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 3, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 4, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 5, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 6, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 7, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 8, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 9, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 10, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 11, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 12, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 13, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 14, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 15, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 16, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}]}}

questions/10162.json

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+{"problem_id": "10162", "ground_truth": 42, "question": "A specialized logistics hub manages 6 distinct shipping zones, labeled 1 through 6. The hub uses a routing system where every possible pair of an origin zone $i$ and a destination zone $j$ is assigned a specific \"Transit Code,\" denoted as $i \\diamondsuit j$. This code must be an integer from 1 to 6.\n\nThe routing system must adhere to the following two operational protocols:\n\n1.  **Direct Processing:** If the origin zone and the destination zone are the same, the Transit Code must match that zone's number. That is, for any zone $i$, $i \\diamondsuit i = i$.\n\n2.  **Sequential Transit Consistency:** For any four zones $i, j, k,$ and $l$ (which are not necessarily distinct), if a package's route is determined by combining the Transit Code of one pair $(i, j)$ with the Transit Code of another pair $(k, l)$, the resulting code must be equivalent to the direct Transit Code between the first origin and the final destination. Mathematically, $(i \\diamondsuit j) \\diamondsuit (k \\diamondsuit l) = i \\diamondsuit l$ must hold for all $1 \\leq i, j, k, l \\leq 6$.\n\nHow many different valid configurations of the 36 Transit Codes are possible?", "part_a": {"attempts": [{"Attempt": 1, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 2, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 3, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 4, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 5, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 6, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 7, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 8, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 9, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 10, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 11, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 12, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 13, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 14, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 15, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 16, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}]}}

questions/10253.json

@@ -0,0 +1 @@
+{"problem_id": "10253", "ground_truth": 13, "question": "In a remote industrial warehouse, a logistics team manages five distinct models of heavy-duty engine blocks, where every block within a specific model group has an identical, unique weight. The team operates a large hydraulic balance for quality control. \n\nDuring a calibration test, the foreman observes a specific rule of equilibrium: whenever any two engine blocks from the inventory are loaded onto the left platform of the balance, it is always possible to select two other engine blocks from the remaining inventory to place on the right platform so that the scale reaches a perfect state of horizontal balance.\n\nBased on the requirement that there are exactly five different weight categories present among the inventory, what is the minimum total number of engine blocks that must be stored in the warehouse?", "part_a": {"attempts": [{"Attempt": 1, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 2, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 3, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 4, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 5, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 6, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 7, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 8, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 9, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 10, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 11, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 12, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 13, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 14, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 15, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 16, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}]}}

questions/10277.json

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+{"problem_id": "10277", "ground_truth": 189, "question": "In a vast desert, three research outposts—Alpha ($A$), Bravo ($B$), and Charlie ($C$)—form a triangular perimeter. Sensors have determined that the direct distance between Alpha and Charlie is exactly 48 kilometers, while the distance between Bravo and Charlie is 30 kilometers.\n\nThe regional headquarters has established two specialized hubs within this triangle:\n1.  **The Supply Hub ($I$):** Located at the incenter of the triangle (the point equidistant from all three boundary roads).\n2.  **The Monitoring Hub ($O$):** Located at the circumcenter of the triangle (the point equidistant from all three outposts).\n\nA straight telecommunications cable is laid directly between the Supply Hub ($I$) and the Monitoring Hub ($O$). A technician traveling along the straight boundary road connecting Alpha and Charlie notices that their path intersects the line of the telecommunications cable at a specific Junction Point ($D$).\n\nCalculate the square of the distance (in kilometers squared) between the Junction Point ($D$) and the Supply Hub ($I$).", "part_a": {"attempts": [{"Attempt": 1, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 2, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 3, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 4, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 5, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 6, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 7, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 8, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 9, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 10, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 11, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 12, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 13, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 14, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 15, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 16, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}]}}

questions/10306.json

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+{"problem_id": "10306", "ground_truth": 200, "question": "In a futuristic data-processing facility, a central security vault is shaped like a perfect regular pentagon. For structural stability, the facility was designed by extending all five wall lines of the vault, as well as the five lines formed by its internal diagonals, infinitely across a two-dimensional floor plan. These ten infinite lines intersect to divide the entire floor into various polygonal sectors. Some sectors are enclosed by walls on all sides, while others are \"open-ended\" hallways that lead infinitely away from the center.\n\nA tiny maintenance drone begins its journey inside the central pentagonal vault. The drone operates on a specific movement protocol: every minute, it identifies all the boundary lines (edges) of its current sector. It selects one of these edges at random, with each edge having an equal probability of being chosen, and crosses it into the adjacent sector. \n\nIf the drone ever enters one of the open-ended, unbounded sectors, it loses its signal and permanently deactivates. \n\nConsider the drone’s journey after it makes its very first move to leave the central vault. Let $x$ be the expected number of times the drone will return to and re-enter the central pentagonal vault before it eventually deactivates in an unbounded sector. \n\nFind the closest integer to $100x$.", "part_a": {"attempts": [{"Attempt": 1, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 2, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 3, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 4, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 5, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 6, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 7, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 8, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 9, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 10, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 11, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 12, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 13, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 14, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 15, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}, {"Attempt": 16, "Status": "exception", "FinishedFinal": false, "PythonCalls": 0, "PythonErrors": 0, "FinalResponse": null, "FinalBoxedInt": null, "Answer": null, "Error": "Empty: ", "Turns": [], "ConversationMessages": [], "FullTokenIds": [], "LossMaskSpans": [], "LossMaskTokenCount": 0}]}}