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The dataset generation failed
Error code:   DatasetGenerationError
Exception:    ValueError
Message:      Expected object or value
Traceback:    Traceback (most recent call last):
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1816, in _prepare_split_single
                  for key, table in generator:
                                    ^^^^^^^^^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 613, in wrapped
                  for item in generator(*args, **kwargs):
                              ~~~~~~~~~^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 281, in _generate_tables
                  examples = [ujson_loads(line) for line in batch.splitlines()]
                              ~~~~~~~~~~~^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/utils/json.py", line 20, in ujson_loads
                  return pd.io.json.ujson_loads(*args, **kwargs)
                         ~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^
              ValueError: Expected object or value
              
              The above exception was the direct cause of the following exception:
              
              Traceback (most recent call last):
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1369, in compute_config_parquet_and_info_response
                  parquet_operations, partial, estimated_dataset_info = stream_convert_to_parquet(
                                                                        ~~~~~~~~~~~~~~~~~~~~~~~~~^
                      builder, max_dataset_size_bytes=max_dataset_size_bytes
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                  )
                  ^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 948, in stream_convert_to_parquet
                  builder._prepare_split(split_generator=splits_generators[split], file_format="parquet")
                  ~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1683, in _prepare_split
                  for job_id, done, content in self._prepare_split_single(
                                               ~~~~~~~~~~~~~~~~~~~~~~~~~~^
                      gen_kwargs=gen_kwargs, job_id=job_id, **_prepare_split_args
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                  ):
                  ^
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1869, in _prepare_split_single
                  raise DatasetGenerationError("An error occurred while generating the dataset") from e
              datasets.exceptions.DatasetGenerationError: An error occurred while generating the dataset

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problem_id
string
generated_rollouts
list
alignment_costs
unknown
00009407ff120762b884bb60d00ce982
[ "Step 1: Identify the possible number of rabbits in each cage. Let's denote the number of rabbits in the five cages as \\(a, b, c, d, e\\) respectively, where \\(a \\leq b \\leq c \\leq d \\leq e\\).\n\nStep 2: Determine the number of neighbors for each rabbit. A rabbit in the first cage has \\(a-1 + b\\) neighbors...
{ "(1,3)": 0.4786, "(3,5)": 0.4077, "(0,6)": 0.2222 }
0002eeacc384d2ed8d542fac41e3899c
[ "Step 1: Consider the given circles and their properties. Circles \\( S_{\\mathrm{A}} \\) and \\( S_{\\mathrm{B}} \\) both pass through point \\( C \\) and their centers lie on line \\( AB \\). Circle \\( S \\) is tangent to both \\( S_{\\mathrm{A}} \\) and \\( S_{\\mathrm{B}} \\) and also tangent to segment \\( AB...
{ "(0,4)": 0.15, "(2,4)": 0.2, "(2,7)": 0.15560000000000002 }
0008b350f22b3cc51da06b3a93b2433e
[ "Step 1: Analyze the given addition problem.\n\\[\n\\begin{array}{ccccc}\n毫不犹豫ent & A & S & H \\\\\n + & & & M & E \\\\\n \\hline\n O & S & I & D & E \\\\\n\\end{array}\n\\]\n\nStep 2: Start with the units column and move leftward.\n\nStep 3: Consider the units column:\n\\[\nH + E = E \\pmod{10}\n\\]\nThis implies ...
{ "(1,6)": 0.45, "(1,7)": 0.5, "(3,6)": 0.21050000000000002 }
0009495bec1e422515a98f39f54ffad3
[ "Step 1: Identify the coefficients of the quadratic equation \\(5x^2 + 9x - 18 = 0\\). Here, \\(a = 5\\), \\(b = 9\\), and \\(c = -18\\).\n\nStep 2: Use the quadratic formula \\(x = \\frac{-b \\pm \\sqrt{b^2 - 4ac}}{2a}\\).\n\nStep 3: Substitute the coefficients into the quadratic formula:\n\\[ x = \\frac{-9 \\pm \...
{ "(0,7)": 0.1091, "(0,6)": 0.046200000000000005, "(1,6)": 0.1231 }
000bb5c13f9c9cb606ae36db5bae56a5
[ "Step 1: **\nWe are given that when Carlos divides his marbles into groups of 6, 7, or 8, he has one marble left over. This can be expressed mathematically as:\n\\[\nN \\equiv 1 \\pmod{6}, \\quad N \\equiv 1 \\pmod{7}, \\quad N \\equiv 1 \\pmod{8}\n\\]\nThis means \\(N - 1\\) must be a common multiple of 6, 7, and ...
{ "(2,7)": 0.0167, "(2,4)": 0.12, "(6,7)": 0.0286 }
00115c24f1dd9ac47cca5acd76db2d83
[ "Step 1: Given the equation \\(x + y = 3\\), we need to maximize the expression \\(x^4 y + x^3 y + x^2 y + xy + xy^2 + xy^3 + xy^4\\).\n\nStep 2: Factor out \\(xy\\) from the expression:\n\\[\nx^4 y + x^3 y + x^2 y + xy + xy^2 + xy^3 + xy^4 = xy(x^3 + x^2 + x + 1 + y + y^2 + y^3).\n\\]\n\nStep 3: Substitute \\(y = ...
{ "(4,5)": 0.45, "(1,2)": 0.0839, "(3,5)": 0.6000000000000001 }
0013098699708f1138eebf18fb3bd9fb
[ "Step 1: Let's denote the four-digit number by \\(ABCD\\), where \\(A, B, C,\\) and \\(D\\) are its digits. We know the following conditions:\n\n1. \\(A, B, C,\\) and \\(D\\) are distinct.\n2. \\(A + B + C + D = 16\\).\n3. One digit is twice another digit.\n4. One digit is three times another digit.\n\nStep 2: Let'...
{ "(4,5)": 0.32, "(4,6)": 0.0222, "(0,5)": 0.2762 }
0014f53cdadd118f414e522c6d50c1d0
[ "Step 1: Determine \\( f(1) \\).\n\nAssume \\( f(1) = a \\). Then using the first condition with \\( x = 1 \\):\n\n\\[\nf(1) + f(1) = 1 \\implies 2a = 1 \\implies a = \\frac{1}{2}\n\\]\n\nThus, \\( f(1) = \\frac{1}{2} \\).\n\nStep 2: Consider the second condition with \\( x = 1 \\).\n\nUsing the second condition wi...
{ "(3,6)": 0.16920000000000002, "(4,7)": 0.2706, "(2,3)": 0.2545 }
00179172374a1e7c2ee2108c3724f3dd
[ "Step 1: Let's analyze the first part of the problem: does there exist a triangle in which two sides are integer multiples of the median to that side?\n\nConsider a triangle \\(ABC\\) with sides \\(a\\), \\(b\\), and \\(c\\), and let \\(m_a\\) be the median from vertex \\(A\\) to side \\(BC\\). The length of the me...
{ "(1,5)": 0.32, "(2,6)": 0.4, "(0,3)": 0.1333 }
001c92a422ac4a334a2cccf239eee7e4
[ "Step 1: Consider the case when \\( p = 2 \\). We need to find positive integers \\( x, y, \\) and \\( z \\) such that \\( x^2 + y^2 + z^2 - x - y - z \\) is a product of exactly three distinct prime numbers. Let's try \\( x = y = z = 2 \\):\n\n\\[\nx^2 + y^2 + z^2 - x - y - z = 2^2 + 2^2 + 2^2 - 2 - 2 - 2 = 4 + 4 ...
{ "(1,7)": 0.33080000000000004, "(4,5)": 0.336, "(2,3)": 0.5 }
001e9ce5cde2d1ac43db397abebc2fe7
[ "Step 1: Let \\( x \\) be the common root of the quadratic equations \\( ax^2 + bx + c = 0 \\) and \\( bx^2 + cx + a = 0 \\).\nStep 2: Since \\( x \\) is a root of both equations, we have:\n\\[ ax^2 + bx + c = 0 \\]\n\\[ bx^2 + cx + a = 0 \\]\n\nStep 3: Multiply the first equation by \\( b \\) and the second equati...
{ "(1,2)": 0.3556, "(1,7)": 0.09230000000000001, "(4,5)": 0.42610000000000003 }
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