| { |
| "input_dir": "/home/zhangmingzhe/huawei/CodeDance-SFT/data", |
| "output_dir": "/home/zhangmingzhe/huawei/CodeDance-SFT/derived/multiturn_agentic", |
| "jsonl_dir": "/home/zhangmingzhe/huawei/CodeDance-SFT/derived/multiturn_agentic/jsonl_by_task", |
| "image_dir": "/home/zhangmingzhe/huawei/CodeDance-SFT/derived/multiturn_agentic/images", |
| "total_multiturn_tool_trajectories": 13828, |
| "total_exported_images": 22358, |
| "image_count_distribution": { |
| "0": { |
| "count": 1074, |
| "ratio": 0.07766849869829331 |
| }, |
| "1": { |
| "count": 4167, |
| "ratio": 0.3013450969048308 |
| }, |
| "2": { |
| "count": 7570, |
| "ratio": 0.5474399768585478 |
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| "3": { |
| "count": 1017, |
| "ratio": 0.07354642753832803 |
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| "task_counts": { |
| "counting": { |
| "label_zh": "计数类", |
| "count": 3515, |
| "ratio": 0.2541943881978594, |
| "path": "/home/zhangmingzhe/huawei/CodeDance-SFT/derived/multiturn_agentic/jsonl_by_task/counting.jsonl" |
| }, |
| "visual_mcq_spatial": { |
| "label_zh": "多选视觉-空间关系", |
| "count": 3047, |
| "ratio": 0.22035001446340757, |
| "path": "/home/zhangmingzhe/huawei/CodeDance-SFT/derived/multiturn_agentic/jsonl_by_task/visual_mcq_spatial.jsonl" |
| }, |
| "chart_numeric_reasoning": { |
| "label_zh": "图表/数值推理", |
| "count": 2307, |
| "ratio": 0.16683540642175296, |
| "path": "/home/zhangmingzhe/huawei/CodeDance-SFT/derived/multiturn_agentic/jsonl_by_task/chart_numeric_reasoning.jsonl" |
| }, |
| "open_visual_qa": { |
| "label_zh": "其他开放式视觉问答", |
| "count": 2046, |
| "ratio": 0.1479606595313856, |
| "path": "/home/zhangmingzhe/huawei/CodeDance-SFT/derived/multiturn_agentic/jsonl_by_task/open_visual_qa.jsonl" |
| }, |
| "visual_mcq_other": { |
| "label_zh": "多选视觉-其他属性", |
| "count": 1633, |
| "ratio": 0.1180937228811108, |
| "path": "/home/zhangmingzhe/huawei/CodeDance-SFT/derived/multiturn_agentic/jsonl_by_task/visual_mcq_other.jsonl" |
| }, |
| "yes_no": { |
| "label_zh": "Yes/No判断", |
| "count": 503, |
| "ratio": 0.03637547006074631, |
| "path": "/home/zhangmingzhe/huawei/CodeDance-SFT/derived/multiturn_agentic/jsonl_by_task/yes_no.jsonl" |
| }, |
| "visual_mcq_ocr": { |
| "label_zh": "多选视觉-OCR/标识", |
| "count": 343, |
| "ratio": 0.024804743997685855, |
| "path": "/home/zhangmingzhe/huawei/CodeDance-SFT/derived/multiturn_agentic/jsonl_by_task/visual_mcq_ocr.jsonl" |
| }, |
| "spatial_relation": { |
| "label_zh": "空间关系", |
| "count": 260, |
| "ratio": 0.018802429852473244, |
| "path": "/home/zhangmingzhe/huawei/CodeDance-SFT/derived/multiturn_agentic/jsonl_by_task/spatial_relation.jsonl" |
| }, |
| "ocr_text_reading": { |
| "label_zh": "OCR/文本读取", |
| "count": 79, |
| "ratio": 0.0057130459936361, |
| "path": "/home/zhangmingzhe/huawei/CodeDance-SFT/derived/multiturn_agentic/jsonl_by_task/ocr_text_reading.jsonl" |
| }, |
| "visual_mcq_color": { |
| "label_zh": "多选视觉-颜色", |
| "count": 62, |
| "ratio": 0.004483656349435927, |
| "path": "/home/zhangmingzhe/huawei/CodeDance-SFT/derived/multiturn_agentic/jsonl_by_task/visual_mcq_color.jsonl" |
| }, |
| "color_recognition": { |
| "label_zh": "颜色识别", |
| "count": 19, |
| "ratio": 0.0013740237199884294, |
| "path": "/home/zhangmingzhe/huawei/CodeDance-SFT/derived/multiturn_agentic/jsonl_by_task/color_recognition.jsonl" |
| }, |
| "material_recognition": { |
| "label_zh": "材质识别", |
| "count": 10, |
| "ratio": 0.0007231703789412786, |
| "path": "/home/zhangmingzhe/huawei/CodeDance-SFT/derived/multiturn_agentic/jsonl_by_task/material_recognition.jsonl" |
| }, |
| "visual_mcq_material": { |
| "label_zh": "多选视觉-材质", |
| "count": 4, |
| "ratio": 0.0002892681515765114, |
| "path": "/home/zhangmingzhe/huawei/CodeDance-SFT/derived/multiturn_agentic/jsonl_by_task/visual_mcq_material.jsonl" |
| } |
| }, |
| "tool_turn_counts": { |
| "1": { |
| "count": 10100, |
| "ratio": 0.7304020827306914 |
| }, |
| "2": { |
| "count": 2609, |
| "ratio": 0.18867515186577957 |
| }, |
| "3": { |
| "count": 649, |
| "ratio": 0.04693375759328898 |
| }, |
| "4": { |
| "count": 272, |
| "ratio": 0.019670234307202775 |
| }, |
| "5": { |
| "count": 119, |
| "ratio": 0.008605727509401214 |
| }, |
| "6": { |
| "count": 38, |
| "ratio": 0.0027480474399768588 |
| }, |
| "7": { |
| "count": 25, |
| "ratio": 0.0018079259473531965 |
| }, |
| "8": { |
| "count": 10, |
| "ratio": 0.0007231703789412786 |
| }, |
| "9": { |
| "count": 4, |
| "ratio": 0.0002892681515765114 |
| }, |
| "10": { |
| "count": 1, |
| "ratio": 7.231703789412785e-05 |
| }, |
| "11": { |
| "count": 1, |
| "ratio": 7.231703789412785e-05 |
| } |
| }, |
| "quality_counts": { |
| "correct_expected_answer_phrase": { |
| "count": 671, |
| "ratio": 0.048524732426959795 |
| }, |
| "inability_phrase": { |
| "count": 375, |
| "ratio": 0.027118889210297946 |
| }, |
| "recheck_phrase": { |
| "count": 199, |
| "ratio": 0.014391090540931444 |
| }, |
| "ground_truth_phrase": { |
| "count": 2, |
| "ratio": 0.0001446340757882557 |
| } |
| }, |
| "file_counts": { |
| "train-00000-of-00025.parquet": 121, |
| "train-00001-of-00025.parquet": 655, |
| "train-00002-of-00025.parquet": 1088, |
| "train-00003-of-00025.parquet": 981, |
| "train-00004-of-00025.parquet": 760, |
| "train-00005-of-00025.parquet": 716, |
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| "train-00021-of-00025.parquet": 987, |
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| "train-00023-of-00025.parquet": 1352, |
| "train-00024-of-00025.parquet": 1352 |
| }, |
| "examples": { |
| "chart_numeric_reasoning": [ |
| { |
| "id": "train-00000-of-00025.parquet:0", |
| "question": "Which country has its hours worked value between 1.8k and 1.9k?", |
| "answer": "Belgium, New Zealand.", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00000-of-00025.parquet:2", |
| "question": "In which year, the mortality from non-communicable diseases was least in Japan?", |
| "answer": "2005", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00000-of-00025.parquet:4", |
| "question": "Which year recorded the highest use of Potash fertilizer by Croatia?", |
| "answer": "2010", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00000-of-00025.parquet:6", |
| "question": "In which year the Sulphur dioxide emissions from china were maximum?", |
| "answer": "2006", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00000-of-00025.parquet:9", |
| "question": "Which year saw the lowest dropout rate in Senegal over the given years?", |
| "answer": "1992", |
| "tool_turns": 1 |
| } |
| ], |
| "yes_no": [ |
| { |
| "id": "train-00000-of-00025.parquet:1", |
| "question": "Is the value of Disability-adjusted life years in Cape Verde always above 1400 from 1997 to 2007?", |
| "answer": "Yes", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00000-of-00025.parquet:22", |
| "question": "Is the proportion of total manufacturing value close to 15% in Georgia in 2002?", |
| "answer": "Yes", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00000-of-00025.parquet:26", |
| "question": "Is the sum of all the values in 2017 smaller than sum of all the values in 2005?", |
| "answer": "No", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00000-of-00025.parquet:71", |
| "question": "Is the value of the red dotted line in 2000 the lowest?", |
| "answer": "Yes", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00002-of-00025.parquet:1173", |
| "question": "Is the sum value of Germany and Belgium more then US?", |
| "answer": "No", |
| "tool_turns": 1 |
| } |
| ], |
| "counting": [ |
| { |
| "id": "train-00000-of-00025.parquet:3", |
| "question": "In how many years is the value of the Georgia graph greater than 15?", |
| "answer": "6", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00000-of-00025.parquet:5", |
| "question": "For how many years has the inancial assets of private pension funds in the United States from 2000 to 2018 (in billion U.S. dollars) exceeded 9000?", |
| "answer": "3", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00000-of-00025.parquet:7", |
| "question": "In how many years , the electricity generation is greater than 150 TWh in Mexico?", |
| "answer": "8", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00000-of-00025.parquet:8", |
| "question": "In how many years, the per capita income is more than $8000?", |
| "answer": "three", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00000-of-00025.parquet:10", |
| "question": "How many bars have a value below 500?", |
| "answer": "6", |
| "tool_turns": 1 |
| } |
| ], |
| "open_visual_qa": [ |
| { |
| "id": "train-00000-of-00025.parquet:23", |
| "question": "When does the line representing Togo reach the peak?", |
| "answer": "2009", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00000-of-00025.parquet:30", |
| "question": "In Ghana, is the proportion of women in ministerial positions higher than 20% in 2014?", |
| "answer": "Yes", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00000-of-00025.parquet:69", |
| "question": "Which country wind energy capacity start from 2 gigawatts and goes higher then 10GW?", |
| "answer": "India", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00000-of-00025.parquet:72", |
| "question": "In 2018, is the social benefits to households lower than 18%?", |
| "answer": "Yes", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00000-of-00025.parquet:112", |
| "question": "When does the unfavorable line reach the peak?", |
| "answer": "2017", |
| "tool_turns": 1 |
| } |
| ], |
| "spatial_relation": [ |
| { |
| "id": "train-00001-of-00025.parquet:700", |
| "question": "The legs of a right triangle measure 6 inches and 8 inches. Find the greatest area of a rectangle that can be inscribed in the right triangle( square inches). Give the exact answer Solve the problem step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. The last part of your response should be in the following format: <answer> \\boxed{{'The final answer goes here.'}} </answer>", |
| "answer": "The greatest area of the inscribed rectangle is \\boxed{12} square inches.", |
| "tool_turns": 2 |
| }, |
| { |
| "id": "train-00001-of-00025.parquet:761", |
| "question": "The sequence $(z_n)$ of complex numbers satisfies the following properties: [list] [*]$z_1$ and $z_2$ are not real. [*]$z_{n+2}=z_{n+1}^2z_n$ for all integers $n\\geq 1$. [*]$\\dfrac{z_{n+3}}{z_n^2}$ is real for all integers $n\\geq 1$. [*]$\\left|\\dfrac{z_3}{z_4}\\right|=\\left|\\dfrac{z_4}{z_5}\\right|=2$. [/list] Find the product of all possible values of $z_1$. Solve the problem step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. The last part of your response should be in the following format: <answer> \\boxed{{'The final answer goes here.'}} </answer>", |
| "answer": "\\boxed{65536}", |
| "tool_turns": 2 |
| }, |
| { |
| "id": "train-00001-of-00025.parquet:765", |
| "question": "Let $A B C$ be a right triangle with $A B=3, B C=4$, and $\\angle B=90^{\\circ}$. Points $P, Q$, and $R$ are chosen on segments $AB, BC$, and $CA$, respectively,such that $PQR$ is an equilateral triangle, and $B P=B Q$. Given that $B P$ can be written as $\\frac{\\sqrt{a}-b}{c}$, where $a, b, c$ are positive integers and $\\gcd(b, c) = 1$, what is $a +b+c$? Solve the problem step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. The last part of your response should be in the following format: <answer> \\boxed{{'The final answer goes here.'}} </answer>", |
| "answer": "\\boxed{451}", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00001-of-00025.parquet:783", |
| "question": "Compute the greatest constant $K$ such that for all positive real numbers $a, b, c, d$ measuring the sides of a cyclic quadrilateral, we have: \\[ \\left(\\frac{1}{a+b+c-d}+\\frac{1}{a+b-c+d}+\\frac{1}{a-b+c+d}+\\frac{1}{-a+b+c+d}\\right)(a+b+c+d) \\geq K. \\] Solve the problem step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. The last part of your response should be in the following format: <answer> \\boxed{{'The final answer goes here.'}} </answer>", |
| "answer": "\\boxed{8}", |
| "tool_turns": 2 |
| }, |
| { |
| "id": "train-00001-of-00025.parquet:794", |
| "question": "We take a pack of 2020 cards numbered from 1(top of the pack) to 2020 (bottom of the pack), the numbers are written on the back of the cards and not visible. We move the top card to the bottom, then discard the next to the table. Then we repeat $\\cdots$ the new top card goes to the bottom and the next one is discarded. This continues until only one card remains in hand, all the others being discarded. What is the number on the last card that remains in hand? Solve the problem step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. The last part of your response should be in the following format: <answer> \\boxed{{'The final answer goes here.'}} </answer>", |
| "answer": "\\boxed{1993}", |
| "tool_turns": 1 |
| } |
| ], |
| "visual_mcq_other": [ |
| { |
| "id": "train-00001-of-00025.parquet:703", |
| "question": "On the trip home from the meeting where this $AMC~10$ was constructed, the Contest Chair noted that his airport parking receipt had digits of the form $bbcac,$ where $0 \\le a < b < c \\le 9,$ and $b$ was the average of $a$ and $c.$ How many different five-digit numbers satisfy all these properties? Solve the problem step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. The last part of your response should be in the following format: <answer> \\boxed{{'The final answer goes here.'}} </answer>", |
| "answer": "\\boxed{20}", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00001-of-00025.parquet:709", |
| "question": "Find all functions f from the set of real numbers into the set of real numbers which satisfy for all real $x,y$ the identity $f(xf(x+y))=f(yf(x))+x^2.$ The original answer is in the form of af(x) and bf(x), please give the value of a + b. Solve the problem step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. The last part of your response should be in the following format: <answer> \\boxed{{'The final answer goes here.'}} </answer>", |
| "answer": "\\boxed{0}", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00001-of-00025.parquet:720", |
| "question": "In the coordinate plane, let $F = (5,0).$ Let $P$ be a point, and let $Q$ be the projection of the point $P$ onto the line $x = \\frac{16}{5}.$ The point $P$ traces a curve in the plane, so that \\[\\frac{PF}{PQ} = \\frac{5}{4}\\] for all points $P$ on the curve. Find the equation of this curve in the form \\(\\frac{x^2}{a} - \\frac{y^2}{b} = 1\\). Please provide the value of a + b. Solve the problem step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. The last part of your response should be in the following format: <answer> \\boxed{{'The final answer goes here.'}} </answer>", |
| "answer": "\\boxed{25}", |
| "tool_turns": 2 |
| }, |
| { |
| "id": "train-00001-of-00025.parquet:732", |
| "question": "Find the number of 8-tuples of binary inputs $\\{A. B.C,DE.F,G,H\\}$ such that $$\\begin{aligned} & \\{(A AND B) OR (C AND D)\\} { AND }\\{(E AND F) OR (G AND H)\\} \\\\ & =\\{(A OR B) AND (C OR D)\\} OR \\{(E OR F) AND (G OR H)\\} \\end{aligned}$$ The AND gates produce an output that is ON only if both the inputs are ON, and the OR gates produce an output that is OFF only if both inputs are OFF. Solve the problem step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. The last part of your response should be in the following format: <answer> \\boxed{{'The final answer goes here.'}} </answer>", |
| "answer": "\\boxed{90}", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00001-of-00025.parquet:802", |
| "question": "Let's write \\(p\\), \\(q\\), and \\(r\\) as three distinct prime numbers, where 1 is not a prime. Find the smallest positive perfect cube that leaves \\(n = pq^2r^4\\) as a divisor. The original answer is in the form \\((p^a q^b r^c)^3\\), please give the value of a + b + c. Solve the problem step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. The last part of your response should be in the following format: <answer> \\boxed{{'The final answer goes here.'}} </answer>", |
| "answer": "\\boxed{4}", |
| "tool_turns": 1 |
| } |
| ], |
| "ocr_text_reading": [ |
| { |
| "id": "train-00001-of-00025.parquet:781", |
| "question": "Evaluate the following expression: \\[ 0 - 1 - 2 + 3 - 4 + 5 + 6 + 7 - 8 + \\ldots + 2000 \\] The terms with minus signs are exactly the powers of two. Solve the problem step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. The last part of your response should be in the following format: <answer> \\boxed{{'The final answer goes here.'}} </answer>", |
| "answer": "\\boxed{1996906}", |
| "tool_turns": 2 |
| }, |
| { |
| "id": "train-00001-of-00025.parquet:923", |
| "question": "Two parabolas have the same focus, namely the point $(3,-28).$ Their directrices are the $x$-axis and the $y$-axis, respectively. Compute the slope of their common chord. Solve the problem step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. The last part of your response should be in the following format: <answer> \\boxed{{'The final answer goes here.'}} </answer>", |
| "answer": "\\boxed{-1}", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00001-of-00025.parquet:953", |
| "question": "Find the sum of all palindromes with $ 6 $ digits in binary, including those written with leading zeroes. Solve the problem step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. The last part of your response should be in the following format: <answer> \\boxed{{'The final answer goes here.'}} </answer>", |
| "answer": "\\boxed{252}", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00001-of-00025.parquet:964", |
| "question": "Let $\\mathbb{R}[x]$ be the set of all polynomials with real coefficients. Find all functions $f: \\mathbb{R}[x] \\rightarrow \\mathbb{R}[x]$ satisfying the following conditions: [list] [*] $f$ maps the zero polynomial to itself, [*] for any non-zero polynomial $P \\in \\mathbb{R}[x]$, $\\text{deg} \\, f(P) \\le 1+ \\text{deg} \\, P$, and [*] for any two polynomials $P, Q \\in \\mathbb{R}[x]$, the polynomials $P-f(Q)$ and $Q-f(P)$ have the same set of real roots. [/list] Assume the function $f$ can be expressed in the form $f(p) = ap$ for all $p \\in \\mathbb{R}[x]$. Find the sum of all possible values of $a$. Solve the problem step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. The last part of your response should be in the following format: <answer> \\boxed{{'The final answer goes here.'}} </answer>", |
| "answer": "\\boxed{0}", |
| "tool_turns": 2 |
| }, |
| { |
| "id": "train-00001-of-00025.parquet:1011", |
| "question": "Circle $\\omega_1$ and $\\omega_2$ have centers $(0,6)$ and $(20,0)$, respectively. Both circles have radius $30$, and intersect at two points $X$ and $Y$. The line through $X$ and $Y$ can be written in the form $y = mx+b$. Compute $100m+b$. Solve the problem step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. The last part of your response should be in the following format: <answer> \\boxed{{'The final answer goes here.'}} </answer>", |
| "answer": "\\boxed{303}", |
| "tool_turns": 2 |
| } |
| ], |
| "visual_mcq_spatial": [ |
| { |
| "id": "train-00001-of-00025.parquet:787", |
| "question": "For any integer $n\\geq 2$, let $N(n)$ be the maxima number of triples $(a_i, b_i, c_i)$, $i=1, \\ldots, N(n)$, consisting of nonnegative integers $a_i$, $b_i$ and $c_i$ such that the following two conditions are satisfied: [list][*] $a_i+b_i+c_i=n$ for all $i=1, \\ldots, N(n)$, [*] If $i\\neq j$ then $a_i\\neq a_j$, $b_i\\neq b_j$ and $c_i\\neq c_j$[/list] Determine $N(n)$ for all $n\\geq 2$. The original answer is in the form \\left\\lfloor\\frac{kn}{m}\\right\\rfloor+c, please give the value of k+m+c. Solve the problem step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. The last part of your response should be in the following format: <answer> \\boxed{{'The final answer goes here.'}} </answer>", |
| "answer": "\\boxed{6}", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00001-of-00025.parquet:830", |
| "question": "A bug (of negligible size) starts at the origin on the coordinate plane. First, it moves one unit right to \\((1,0)\\). Then it makes a \\(90^\\circ\\) counterclockwise turn and travels \\(\\frac{1}{2}\\) a unit to \\(\\left(1, \\frac{1}{2} \\right)\\). If it continues in this fashion, each time making a \\(90^\\circ\\) degree turn counterclockwise and traveling half as far as the previous move, to which point \\((x, y)\\) will it come closest? Provide the answer in the form of two fractions \\(\\left(\\frac{a}{b}, \\frac{c}{d}\\right)\\), and calculate the value of a + b + c + d. Solve the problem step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. The last part of your response should be in the following format: <answer> \\boxed{{'The final answer goes here.'}} </answer>", |
| "answer": "\\boxed{16}", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00001-of-00025.parquet:1265", |
| "question": "If an equilateral triangle has the same perimeter as an isosceles right triangle with area 18, then the area of the equilateral triangle is $a \\sqrt{b}+c \\sqrt{d}$ where a, b, c, and d are positive integers and b and d have no perfect square factors greater than 1. Find a +b +c + d. Solve the problem step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. The last part of your response should be in the following format: <answer> \\boxed{{'The final answer goes here.'}} </answer>", |
| "answer": "\\boxed{19}", |
| "tool_turns": 2 |
| }, |
| { |
| "id": "train-00002-of-00025.parquet:375", |
| "question": "Determine the number of real solutions $a$ to the equation: \\[ \\left\\lfloor \\frac{1}{2}a \\right\\rfloor + \\left\\lfloor \\frac{1}{3}a \\right\\rfloor + \\left\\lfloor \\frac{1}{5}a \\right\\rfloor = a. \\] Here, if $x$ is a real number, then $\\left\\lfloor x \\right\\rfloor$ denotes the greatest integer that is less than or equal to $x$. Solve the problem step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. The last part of your response should be in the following format: <answer> \\boxed{{'The final answer goes here.'}} </answer>", |
| "answer": "\\boxed{30}", |
| "tool_turns": 2 |
| }, |
| { |
| "id": "train-00005-of-00025.parquet:372", |
| "question": "question: What is the text written on the small blue sign located on the top-left window of the second floor? choices: A: Guild B: REAL AUSTRALIANS SAY WELCOME C: Guild Village D: South Entrance", |
| "answer": "A", |
| "tool_turns": 2 |
| } |
| ], |
| "visual_mcq_ocr": [ |
| { |
| "id": "train-00002-of-00025.parquet:290", |
| "question": "Positive integers are written on all the faces of a cube, one on each. At each corner of the cube, the product of the numbers on the faces that meet at the vertex is written. The sum of the numbers written on the corners is 2004. If T denotes the sum of the numbers on all the faces, the possible values of T form an interval [a, b]. Please find the value of a + b. Solve the problem step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. The last part of your response should be in the following format: <answer> \\boxed{{'The final answer goes here.'}} </answer>", |
| "answer": "\\boxed{679}", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00005-of-00025.parquet:407", |
| "question": "question: What is the text written on the sail of the boat with the number \"8\"? choices: A: The number 8 in a red circle B: Miele C: Finance Group Ukraine D: Porsche", |
| "answer": "A", |
| "tool_turns": 2 |
| }, |
| { |
| "id": "train-00005-of-00025.parquet:421", |
| "question": "question: What is the text written on the black shorts of the fighter performing the kick? choices: A: Adidas B: Nike C: Reebok D: UFC", |
| "answer": "C", |
| "tool_turns": 2 |
| }, |
| { |
| "id": "train-00005-of-00025.parquet:426", |
| "question": "question: What is the specific text written under the small white sign located on the leftmost open door? choices: A: Придерживайте двери B: Проезд в московском транспорте — только в маске и перчатках C: Фрунзенская Площадь D: Фрунзенская", |
| "answer": "A", |
| "tool_turns": 2 |
| }, |
| { |
| "id": "train-00005-of-00025.parquet:498", |
| "question": "question: What is the specific text written on the small yellow sign held by a person near the center of the image, which also includes a graphic resembling a pizza? choices: A: SAVE FARMLAND B: PLANET IS NOT A PIZZA C: BE PART OF THE SOLUTION NOT POLLUTION D: TEXT VOTE 67016", |
| "answer": "B", |
| "tool_turns": 2 |
| } |
| ], |
| "material_recognition": [ |
| { |
| "id": "train-00004-of-00025.parquet:479", |
| "question": "How much did materials inputs cost the US construction industry in 2000?", |
| "answer": "336.99", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00014-of-00025.parquet:532", |
| "question": "There is a green thing that is the same size as the yellow metal cylinder; what is its material?Think step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. You must provide your final answer in <answer></answer>.", |
| "answer": "\\boxed{Rubber}", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00014-of-00025.parquet:872", |
| "question": "What is the material of the large red thing that is in front of the rubber thing in front of the block that is behind the red matte sphere?Think step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. You must provide your final answer in <answer></answer>.", |
| "answer": "\\boxed{Metal}", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00014-of-00025.parquet:1024", |
| "question": "There is another thing that is the same size as the purple rubber object; what material is it?Think step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. You must provide your final answer in <answer></answer>.", |
| "answer": "\\boxed{Metal}", |
| "tool_turns": 2 |
| }, |
| { |
| "id": "train-00015-of-00025.parquet:585", |
| "question": "There is a purple cylinder that is the same size as the red rubber object; what is its material?Think step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. You must provide your final answer in <answer></answer>.", |
| "answer": "\\boxed{rubber}", |
| "tool_turns": 1 |
| } |
| ], |
| "color_recognition": [ |
| { |
| "id": "train-00005-of-00025.parquet:166", |
| "question": "what is the mean of numbers appearing on the bars that have different colors than the majority?\\n", |
| "answer": "\\boxed{762}", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00013-of-00025.parquet:967", |
| "question": "**User Question:** A photography group is holding a member exhibition and plans to frame 8 cm × 12 cm rectangular photos with a uniform width of colored paper around them, as shown in the figure. Xiao Hua found through experimentation that the framed paper looks more aesthetically pleasing when its area is approximately half of the photo's area. At this time, the width of the paper strip is ___ (accurate to 0.1 cm).", |
| "answer": "\\boxed{1.1}", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00014-of-00025.parquet:722", |
| "question": "There is a tiny cylinder that is the same color as the small block; what is it made of?Think step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. You must provide your final answer in <answer></answer>.", |
| "answer": "\\boxed{'rubber'}", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00014-of-00025.parquet:812", |
| "question": "There is a large object in front of the small matte sphere; is it the same color as the large metal ball?Think step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. You must provide your final answer in <answer></answer>.", |
| "answer": "\\boxed{Yes}", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00014-of-00025.parquet:986", |
| "question": "There is a block that is the same color as the big matte sphere; what is its material?Think step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. You must provide your final answer in <answer></answer>.", |
| "answer": "\\boxed{'metal'}", |
| "tool_turns": 1 |
| } |
| ], |
| "visual_mcq_color": [ |
| { |
| "id": "train-00005-of-00025.parquet:507", |
| "question": "question: What is the color of the small sticker located on the bow of the boat furthest from the camera? choices: A: Green B: Red C: Yellow D: Blue", |
| "answer": "D", |
| "tool_turns": 2 |
| }, |
| { |
| "id": "train-00005-of-00025.parquet:561", |
| "question": "question: What is the color of the backpack located near the woman in the white bikini lying on the beach? choices: A: Orange and green B: Blue and white C: Green and black D: Red and yellow", |
| "answer": "A", |
| "tool_turns": 2 |
| }, |
| { |
| "id": "train-00005-of-00025.parquet:562", |
| "question": "question: What is the color of the helmet worn by the person standing on the rightmost Segway? choices: A: Blue B: Red C: Green D: Yellow", |
| "answer": "B", |
| "tool_turns": 2 |
| }, |
| { |
| "id": "train-00005-of-00025.parquet:643", |
| "question": "question: What is the color of the small croissant-shaped piece located on the yellow plate on the counter near the red-clad LEGO figure? choices: A: Yellow B: Green C: Orange D: Brown", |
| "answer": "C", |
| "tool_turns": 2 |
| }, |
| { |
| "id": "train-00014-of-00025.parquet:539", |
| "question": "If you select a marble without looking, which color are you less likely to pick? Choices: A. neither; black and green are equally likely B. green C. blackThink step-by-step within <think></think>. You now have the ability to selectively write executable Python code to enhance your reasoning process. The Python code should be complete scripts, including necessary imports. Each code snippet is wrapped with `<code> ```python code snippet ``` </code>`. You must provide your final answer in <answer></answer>.", |
| "answer": "\\boxed{B. green}", |
| "tool_turns": 1 |
| } |
| ], |
| "visual_mcq_material": [ |
| { |
| "id": "train-00013-of-00025.parquet:151", |
| "question": "**User Question:** A customer asks a craftsman to make a handicraft from each of the two raw jade pieces, A and B. The craftsman, along with an apprentice, completes this task. Each material is first roughly processed by the apprentice and then finely processed by the craftsman to complete the production. After both handicrafts are completed, they are delivered to the customer. The time required for each process (unit: workdays) for the two materials is as follows: What is the shortest delivery period in workdays?", |
| "answer": "\\boxed{42}", |
| "tool_turns": 2 |
| }, |
| { |
| "id": "train-00019-of-00025.parquet:808", |
| "question": "**User Question:** In the provided figure, Xiaoming has constructed a metal frame with the same material. It is given that angle B is equal to angle E, AB is equal to DE, and BF is equal to EC. The mass of triangle ABC is 840.0 g and the mass of CF is 106.0 g. What is the total mass of the metal frame? Choices: A: 734克 B: 946克 C: 1052克 D: 1574克", |
| "answer": "\\boxed{D: 1574克}", |
| "tool_turns": 1 |
| }, |
| { |
| "id": "train-00023-of-00025.parquet:842", |
| "question": "question: What is the material of the basket located on the leftmost wooden platform near the water's edge? choices: A: Metal wire B: Woven bamboo C: Plastic mesh D: Leather strips", |
| "answer": "B", |
| "tool_turns": 2 |
| }, |
| { |
| "id": "train-00023-of-00025.parquet:1051", |
| "question": "question: What is the material of the delicate veil attached to the floral headpiece worn by the person in the center of the image? choices: A: Silk B: Tulle C: Cotton D: Lace", |
| "answer": "B", |
| "tool_turns": 1 |
| } |
| ] |
| } |
| } |
|
|
