Datasets:

BytedTsinghua-SIA
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Enigmata-Data

License:

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The dataset generation failed because of a cast error

Error code:   DatasetGenerationCastError
Exception:    DatasetGenerationCastError
Message:      An error occurred while generating the dataset

All the data files must have the same columns, but at some point there are 1 new columns ({'difficulty'})

This happened while the json dataset builder was generating data using

hf://datasets/BytedTsinghua-SIA/Enigmata-Data/car_painting/en/train.jsonl (at revision 95f6920c2428c762ba6a6a2038af7dbe15eb7c75)

Please either edit the data files to have matching columns, or separate them into different configurations (see docs at https://hf.co/docs/hub/datasets-manual-configuration#multiple-configurations)
Traceback:    Traceback (most recent call last):
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/builder.py", line 1831, in _prepare_split_single
                  writer.write_table(table)
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/arrow_writer.py", line 644, in write_table
                  pa_table = table_cast(pa_table, self._schema)
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/table.py", line 2272, in table_cast
                  return cast_table_to_schema(table, schema)
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/table.py", line 2218, in cast_table_to_schema
                  raise CastError(
              datasets.table.CastError: Couldn't cast
              prompt: string
              answer: list<item: int64>
                child 0, item: int64
              task_name: string
              ability: string
              language: string
              meta: string
              difficulty: string
              to
              {'prompt': Value('string'), 'answer': Value('string'), 'task_name': Value('string'), 'ability': Value('string'), 'language': Value('string'), 'meta': Value('string')}
              because column names don't match
              
              During handling of the above exception, another exception occurred:
              
              Traceback (most recent call last):
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1456, in compute_config_parquet_and_info_response
                  parquet_operations = convert_to_parquet(builder)
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1055, in convert_to_parquet
                  builder.download_and_prepare(
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/builder.py", line 894, in download_and_prepare
                  self._download_and_prepare(
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/builder.py", line 970, in _download_and_prepare
                  self._prepare_split(split_generator, **prepare_split_kwargs)
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/builder.py", line 1702, in _prepare_split
                  for job_id, done, content in self._prepare_split_single(
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/builder.py", line 1833, in _prepare_split_single
                  raise DatasetGenerationCastError.from_cast_error(
              datasets.exceptions.DatasetGenerationCastError: An error occurred while generating the dataset
              
              All the data files must have the same columns, but at some point there are 1 new columns ({'difficulty'})
              
              This happened while the json dataset builder was generating data using
              
              hf://datasets/BytedTsinghua-SIA/Enigmata-Data/car_painting/en/train.jsonl (at revision 95f6920c2428c762ba6a6a2038af7dbe15eb7c75)
              
              Please either edit the data files to have matching columns, or separate them into different configurations (see docs at https://hf.co/docs/hub/datasets-manual-configuration#multiple-configurations)

Need help to make the dataset viewer work? Make sure to review how to configure the dataset viewer, and open a discussion for direct support.

prompt string	answer string	task_name string	ability string	language string	meta string
You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. Please output your answer within a code block (```), formatted as a grid of numbers. # Examples Example 1: Input: 0 7 7 7 7 7 0 7 7 Output: 0 0 0 0 7 7 0 7 7 0 0 0 7 7 7 7 7 7 0 0 0 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 7 7 7 7 7 7 7 7 7 0 7 7 0 7 7 0 7 7 0 0 0 0 7 7 0 7 7 0 0 0 7 7 7 7 7 7 0 0 0 0 7 7 0 7 7 Example 2: Input: 4 0 4 0 0 0 0 4 0 Output: 4 0 4 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 Example 3: Input: 0 0 0 0 0 2 2 0 2 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 0 0 0 2 0 2 Example 4: Input: 6 6 0 6 0 0 0 6 6 Output: 6 6 0 6 6 0 0 0 0 6 0 0 6 0 0 0 0 0 0 6 6 0 6 6 0 0 0 6 6 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0 0 0 6 6 0 0 0 0 0 0 0 0 0 6 6 0 6 6 0 0 0 0 6 0 0 6 0 0 0 0 0 0 6 6 0 6 6 Example 5: Input: 2 2 2 0 0 0 0 2 2 Output: 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 # Test Problem: Input: 7 0 7 7 0 7 7 7 0	7 0 7 0 0 0 7 0 7 7 0 7 0 0 0 7 0 7 7 7 0 0 0 0 7 7 0 7 0 7 0 0 0 7 0 7 7 0 7 0 0 0 7 0 7 7 7 0 0 0 0 7 7 0 7 0 7 7 0 7 0 0 0 7 0 7 7 0 7 0 0 0 7 7 0 7 7 0 0 0 0	arc_agi	puzzle	en	{"id": "800c48d4-e87a-44cc-ae6e-4e6d4a140bcb", "question": "You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. \n\n# Examples\nExample 1:\nInput:\n0 7 7 \n7 7 7 \n0 7 7 \nOutput:\n0 0 0 0 7 7 0 7 7 \n0 0 0 7 7 7 7 7 7 \n0 0 0 0 7 7 0 7 7 \n0 7 7 0 7 7 0 7 7 \n7 7 7 7 7 7 7 7 7 \n0 7 7 0 7 7 0 7 7 \n0 0 0 0 7 7 0 7 7 \n0 0 0 7 7 7 7 7 7 \n0 0 0 0 7 7 0 7 7 \n\nExample 2:\nInput:\n4 0 4 \n0 0 0 \n0 4 0 \nOutput:\n4 0 4 0 0 0 4 0 4 \n0 0 0 0 0 0 0 0 0 \n0 4 0 0 0 0 0 4 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 4 0 4 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 4 0 0 0 0 \n\nExample 3:\nInput:\n0 0 0 \n0 0 2 \n2 0 2 \nOutput:\n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 2 \n0 0 0 0 0 0 2 0 2 \n0 0 0 0 0 0 0 0 0 \n0 0 2 0 0 0 0 0 2 \n2 0 2 0 0 0 2 0 2 \n\nExample 4:\nInput:\n6 6 0 \n6 0 0 \n0 6 6 \nOutput:\n6 6 0 6 6 0 0 0 0 \n6 0 0 6 0 0 0 0 0 \n0 6 6 0 6 6 0 0 0 \n6 6 0 0 0 0 0 0 0 \n6 0 0 0 0 0 0 0 0 \n0 6 6 0 0 0 0 0 0 \n0 0 0 6 6 0 6 6 0 \n0 0 0 6 0 0 6 0 0 \n0 0 0 0 6 6 0 6 6 \n\nExample 5:\nInput:\n2 2 2 \n0 0 0 \n0 2 2 \nOutput:\n2 2 2 2 2 2 2 2 2 \n0 0 0 0 0 0 0 0 0 \n0 2 2 0 2 2 0 2 2 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 2 2 2 2 2 2 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 2 2 0 2 2 \n\n# Test Problem:\nInput:\n7 0 7 \n7 0 7 \n7 7 0 \n", "raw": {"test": [{"input": [[7, 0, 7], [7, 0, 7], [7, 7, 0]], "output": [[7, 0, 7, 0, 0, 0, 7, 0, 7], [7, 0, 7, 0, 0, 0, 7, 0, 7], [7, 7, 0, 0, 0, 0, 7, 7, 0], [7, 0, 7, 0, 0, 0, 7, 0, 7], [7, 0, 7, 0, 0, 0, 7, 0, 7], [7, 7, 0, 0, 0, 0, 7, 7, 0], [7, 0, 7, 7, 0, 7, 0, 0, 0], [7, 0, 7, 7, 0, 7, 0, 0, 0], [7, 7, 0, 7, 7, 0, 0, 0, 0]]}], "train": [{"input": [[0, 7, 7], [7, 7, 7], [0, 7, 7]], "output": [[0, 0, 0, 0, 7, 7, 0, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 7, 7, 0, 7, 7], [0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 7, 7, 0, 7, 7, 0, 7, 7], [0, 0, 0, 0, 7, 7, 0, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 7, 7, 0, 7, 7]]}, {"input": [[4, 0, 4], [0, 0, 0], [0, 4, 0]], "output": [[4, 0, 4, 0, 0, 0, 4, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0]]}, {"input": [[0, 0, 0], [0, 0, 2], [2, 0, 2]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 2], [2, 0, 2, 0, 0, 0, 2, 0, 2]]}, {"input": [[6, 6, 0], [6, 0, 0], [0, 6, 6]], "output": [[6, 6, 0, 6, 6, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 6, 0, 0, 0], [6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 6, 0, 6, 6]]}, {"input": [[2, 2, 2], [0, 0, 0], [0, 2, 2]], "output": [[2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 2, 0, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 0, 2, 2]]}]}, "answer": "7 0 7 0 0 0 7 0 7 \n7 0 7 0 0 0 7 0 7 \n7 7 0 0 0 0 7 7 0 \n7 0 7 0 0 0 7 0 7 \n7 0 7 0 0 0 7 0 7 \n7 7 0 0 0 0 7 7 0 \n7 0 7 7 0 7 0 0 0 \n7 0 7 7 0 7 0 0 0 \n7 7 0 7 7 0 0 0 0 \n", "split": "train", "language": "en"}
You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. Please output your answer within a code block (```), formatted as a grid of numbers. # Examples Example 1: Input: 0 0 0 0 0 0 0 0 3 0 0 0 0 3 0 3 0 0 0 0 3 0 3 0 0 0 0 3 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 3 0 0 0 0 3 4 3 0 0 0 0 3 4 3 0 0 0 0 3 0 0 0 0 0 0 0 0 Example 2: Input: 0 0 0 0 0 0 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 3 0 3 0 0 0 0 0 3 0 3 3 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 3 4 3 0 0 0 0 0 3 0 3 3 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Example 3: Input: 0 0 0 0 0 3 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 3 3 0 3 3 0 3 0 0 3 0 0 3 0 0 3 0 3 0 0 0 0 3 0 0 3 3 0 0 0 0 0 3 0 0 3 0 0 0 0 0 0 3 0 0 3 0 0 0 0 0 0 0 3 3 0 3 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 3 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 3 3 0 3 3 0 3 0 0 3 0 0 3 4 4 3 4 3 0 0 0 0 3 4 4 3 3 0 0 0 0 0 3 4 4 3 0 0 0 0 0 0 3 4 4 3 0 0 0 0 0 0 0 3 3 0 3 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 Example 4: Input: 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 0 0 0 0 0 0 3 0 0 3 0 0 0 0 0 0 3 0 0 3 0 3 0 0 0 0 3 3 3 3 3 3 3 0 0 0 0 3 0 0 0 0 3 0 0 0 0 3 0 0 0 3 3 0 0 0 0 3 3 0 0 3 0 3 0 0 0 3 0 3 0 0 3 0 0 0 0 0 3 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 0 0 0 0 0 0 3 4 4 3 0 0 0 0 0 0 3 4 4 3 0 3 0 0 0 0 3 3 3 3 3 3 3 0 0 0 0 3 0 0 0 0 3 0 0 0 0 3 0 0 0 3 3 0 0 0 0 3 3 0 0 3 4 3 0 0 0 3 4 3 0 0 3 0 0 0 0 0 3 0 0 0 0 0 Example 5: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 3 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 0 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 3 3 0 0 3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 3 3 0 0 3 0 0 3 0 0 0 0 0 0 0 0 0 3 3 3 3 0 3 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 4 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 3 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 4 4 4 4 3 0 0 0 0 0 0 0 0 3 0 0 0 3 4 4 4 4 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 4 4 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 4 4 4 4 3 0 0 0 0 0 0 3 0 0 0 0 0 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 3 3 4 4 3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 3 3 0 0 3 0 0 3 0 0 0 0 0 0 0 0 0 3 3 3 3 0 3 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 3 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 # Test Problem: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 3 3 3 3 3 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 3 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 3 3 3 3 3 3 0 0 0 3 0 0 0 0 0 0 0 0 3 3 0 3 0 0 0 3 3 3 3 3 0 0 0 0 3 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 3 0 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0	0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 3 3 3 3 3 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 4 4 3 4 4 3 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 3 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 4 3 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 3 4 4 4 3 0 0 0 0 0 0 0 0 0 0 0 3 4 4 4 3 4 4 4 3 0 0 0 0 0 0 0 0 0 0 3 3 3 3 3 3 4 4 4 3 0 0 0 0 0 0 0 0 3 3 4 3 0 0 0 3 3 3 3 3 0 0 0 0 3 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 3 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 3 0 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0	arc_agi	puzzle	en	{"id": "cd0dcd34-d641-4666-b244-b5ea65847f73", "question": "You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. \n\n# Examples\nExample 1:\nInput:\n0 0 0 0 0 0 \n0 0 3 0 0 0 \n0 3 0 3 0 0 \n0 0 3 0 3 0 \n0 0 0 3 0 0 \n0 0 0 0 0 0 \nOutput:\n0 0 0 0 0 0 \n0 0 3 0 0 0 \n0 3 4 3 0 0 \n0 0 3 4 3 0 \n0 0 0 3 0 0 \n0 0 0 0 0 0 \n\nExample 2:\nInput:\n0 0 0 0 0 0 0 0 0 0 \n0 0 3 0 3 0 0 0 0 0 \n0 0 0 3 0 3 0 0 0 0 \n0 0 3 0 0 0 3 0 0 0 \n0 0 0 0 0 3 0 3 0 0 \n0 0 0 3 0 3 3 0 0 0 \n0 0 3 3 3 0 0 0 0 0 \n0 0 0 3 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \nOutput:\n0 0 0 0 0 0 0 0 0 0 \n0 0 3 0 3 0 0 0 0 0 \n0 0 0 3 0 3 0 0 0 0 \n0 0 3 0 0 0 3 0 0 0 \n0 0 0 0 0 3 4 3 0 0 \n0 0 0 3 0 3 3 0 0 0 \n0 0 3 3 3 0 0 0 0 0 \n0 0 0 3 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n\nExample 3:\nInput:\n0 0 0 0 0 3 0 0 0 0 \n0 0 0 0 3 0 0 0 0 0 \n0 3 3 0 3 3 0 3 0 0 \n3 0 0 3 0 0 3 0 3 0 \n0 0 0 3 0 0 3 3 0 0 \n0 0 0 3 0 0 3 0 0 0 \n0 0 0 3 0 0 3 0 0 0 \n0 0 0 0 3 3 0 3 0 0 \n0 0 0 0 0 0 0 0 3 0 \n0 0 0 0 0 0 0 0 0 0 \nOutput:\n0 0 0 0 0 3 0 0 0 0 \n0 0 0 0 3 0 0 0 0 0 \n0 3 3 0 3 3 0 3 0 0 \n3 0 0 3 4 4 3 4 3 0 \n0 0 0 3 4 4 3 3 0 0 \n0 0 0 3 4 4 3 0 0 0 \n0 0 0 3 4 4 3 0 0 0 \n0 0 0 0 3 3 0 3 0 0 \n0 0 0 0 0 0 0 0 3 0 \n0 0 0 0 0 0 0 0 0 0 \n\nExample 4:\nInput:\n0 0 0 0 0 0 0 0 0 0 \n0 0 3 3 3 3 0 0 0 0 \n0 0 3 0 0 3 0 0 0 0 \n0 0 3 0 0 3 0 3 0 0 \n0 0 3 3 3 3 3 3 3 0 \n0 0 0 3 0 0 0 0 3 0 \n0 0 0 3 0 0 0 3 3 0 \n0 0 0 3 3 0 0 3 0 3 \n0 0 0 3 0 3 0 0 3 0 \n0 0 0 0 3 0 0 0 0 0 \nOutput:\n0 0 0 0 0 0 0 0 0 0 \n0 0 3 3 3 3 0 0 0 0 \n0 0 3 4 4 3 0 0 0 0 \n0 0 3 4 4 3 0 3 0 0 \n0 0 3 3 3 3 3 3 3 0 \n0 0 0 3 0 0 0 0 3 0 \n0 0 0 3 0 0 0 3 3 0 \n0 0 0 3 3 0 0 3 4 3 \n0 0 0 3 4 3 0 0 3 0 \n0 0 0 0 3 0 0 0 0 0 \n\nExample 5:\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 3 3 3 3 0 3 3 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 3 0 \n0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 0 0 0 0 \n0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 \n0 0 0 0 3 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 \n0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 \n0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 \n0 0 3 0 0 0 0 0 3 3 3 3 3 3 3 3 0 0 0 0 \n0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 3 0 3 0 0 \n0 0 0 0 0 0 3 3 0 0 3 0 0 3 0 0 0 0 0 0 \n0 0 0 0 0 0 0 3 0 0 3 3 0 0 3 0 0 3 0 0 \n0 0 0 0 0 0 0 3 3 3 3 0 3 0 0 3 3 3 0 0 \n0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 3 0 3 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 3 3 3 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \nOutput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 3 3 3 3 4 3 3 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 3 4 3 0 0 0 0 0 0 0 3 0 \n0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 0 0 0 0 \n0 0 0 0 0 0 0 0 3 4 4 4 4 4 4 3 0 0 0 0 \n0 0 0 0 3 0 0 0 3 4 4 4 4 4 4 3 0 0 0 0 \n0 0 0 0 0 0 0 0 3 4 4 4 4 4 4 3 0 0 0 0 \n0 0 0 0 0 0 0 0 3 4 4 4 4 4 4 3 0 0 0 0 \n0 0 3 0 0 0 0 0 3 3 3 3 3 3 3 3 0 0 0 0 \n0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 3 0 3 0 0 \n0 0 0 0 0 0 3 3 4 4 3 0 0 3 0 0 0 0 0 0 \n0 0 0 0 0 0 0 3 4 4 3 3 0 0 3 0 0 3 0 0 \n0 0 0 0 0 0 0 3 3 3 3 0 3 0 0 3 3 3 0 0 \n0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 3 4 3 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 3 3 3 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n\n# Test Problem:\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 3 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 3 0 3 3 3 3 3 0 3 3 0 0 0 0 0 0 0 0 \n0 0 0 0 3 0 0 0 0 3 0 0 3 0 0 0 0 0 0 0 \n0 0 0 0 3 3 3 3 3 0 3 3 3 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 3 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 3 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 3 0 0 \n0 0 0 0 0 0 0 0 0 3 3 3 3 3 0 0 0 3 0 0 \n0 0 0 0 0 0 0 0 0 3 0 0 0 3 0 0 0 3 0 0 \n0 0 0 0 0 0 0 0 3 3 3 3 3 3 0 0 0 3 0 0 \n0 0 0 0 0 0 3 3 0 3 0 0 0 3 3 3 3 3 0 0 \n0 0 3 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 \n0 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 3 0 3 0 3 3 3 3 3 3 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 3 3 3 3 3 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n", "raw": {"train": [{"input": [[0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0], [0, 3, 0, 3, 0, 0], [0, 0, 3, 0, 3, 0], [0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0], [0, 3, 4, 3, 0, 0], [0, 0, 3, 4, 3, 0], [0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0]]}, {"input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 3, 0, 0], [0, 0, 0, 3, 0, 3, 3, 0, 0, 0], [0, 0, 3, 3, 3, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 3, 4, 3, 0, 0], [0, 0, 0, 3, 0, 3, 3, 0, 0, 0], [0, 0, 3, 3, 3, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}, {"input": [[0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 3, 3, 0, 3, 3, 0, 3, 0, 0], [3, 0, 0, 3, 0, 0, 3, 0, 3, 0], [0, 0, 0, 3, 0, 0, 3, 3, 0, 0], [0, 0, 0, 3, 0, 0, 3, 0, 0, 0], [0, 0, 0, 3, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 3, 3, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 3, 3, 0, 3, 3, 0, 3, 0, 0], [3, 0, 0, 3, 4, 4, 3, 4, 3, 0], [0, 0, 0, 3, 4, 4, 3, 3, 0, 0], [0, 0, 0, 3, 4, 4, 3, 0, 0, 0], [0, 0, 0, 3, 4, 4, 3, 0, 0, 0], [0, 0, 0, 0, 3, 3, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}, {"input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 3, 0, 0, 0, 0], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0], [0, 0, 3, 0, 0, 3, 0, 3, 0, 0], [0, 0, 3, 3, 3, 3, 3, 3, 3, 0], [0, 0, 0, 3, 0, 0, 0, 0, 3, 0], [0, 0, 0, 3, 0, 0, 0, 3, 3, 0], [0, 0, 0, 3, 3, 0, 0, 3, 0, 3], [0, 0, 0, 3, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 3, 0, 0, 0, 0], [0, 0, 3, 4, 4, 3, 0, 0, 0, 0], [0, 0, 3, 4, 4, 3, 0, 3, 0, 0], [0, 0, 3, 3, 3, 3, 3, 3, 3, 0], [0, 0, 0, 3, 0, 0, 0, 0, 3, 0], [0, 0, 0, 3, 0, 0, 0, 3, 3, 0], [0, 0, 0, 3, 3, 0, 0, 3, 4, 3], [0, 0, 0, 3, 4, 3, 0, 0, 3, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0]]}, {"input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 3, 3, 4, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 4, 3, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 4, 4, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 4, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}], "test": [{"input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 4, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 4, 4, 4, 4, 3, 4, 4, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 4, 4, 4, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 3, 4, 4, 4, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 4, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}]}, "answer": "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 3 4 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 3 0 3 3 3 3 3 0 3 3 0 0 0 0 0 0 0 0 \n0 0 0 0 3 4 4 4 4 3 4 4 3 0 0 0 0 0 0 0 \n0 0 0 0 3 3 3 3 3 0 3 3 3 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 3 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 4 3 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 4 3 0 0 \n0 0 0 0 0 0 0 0 0 3 3 3 3 3 4 4 4 3 0 0 \n0 0 0 0 0 0 0 0 0 3 4 4 4 3 4 4 4 3 0 0 \n0 0 0 0 0 0 0 0 3 3 3 3 3 3 4 4 4 3 0 0 \n0 0 0 0 0 0 3 3 4 3 0 0 0 3 3 3 3 3 0 0 \n0 0 3 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 \n0 3 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 3 0 3 0 3 3 3 3 3 3 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 3 4 4 4 3 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 3 4 4 4 3 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 3 3 3 3 3 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n", "split": "train", "language": "en"}
You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. Please output your answer within a code block (```), formatted as a grid of numbers. # Examples Example 1: Input: 0 1 0 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 Output: 0 2 0 2 2 0 0 2 0 0 2 2 0 2 0 2 2 0 0 2 0 0 2 2 0 2 0 Example 2: Input: 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 Output: 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 Example 3: Input: 0 1 0 1 1 0 0 1 0 0 1 0 1 1 0 0 1 0 Output: 0 2 0 2 2 0 0 2 0 0 2 0 2 2 0 0 2 0 0 2 0 2 2 0 0 2 0 # Test Problem: Input: 1 1 1 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0	2 2 2 0 2 0 0 2 0 2 2 2 0 2 0 0 2 0 2 2 2 0 2 0 0 2 0	arc_agi	puzzle	en	{"id": "028b3a9a-4570-4ba3-ab2d-bf4ea6cf4da5", "question": "You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. \n\n# Examples\nExample 1:\nInput:\n0 1 0 \n1 1 0 \n0 1 0 \n0 1 1 \n0 1 0 \n1 1 0 \nOutput:\n0 2 0 \n2 2 0 \n0 2 0 \n0 2 2 \n0 2 0 \n2 2 0 \n0 2 0 \n0 2 2 \n0 2 0 \n\nExample 2:\nInput:\n0 1 0 \n1 0 1 \n0 1 0 \n1 0 1 \n0 1 0 \n1 0 1 \nOutput:\n0 2 0 \n2 0 2 \n0 2 0 \n2 0 2 \n0 2 0 \n2 0 2 \n0 2 0 \n2 0 2 \n0 2 0 \n\nExample 3:\nInput:\n0 1 0 \n1 1 0 \n0 1 0 \n0 1 0 \n1 1 0 \n0 1 0 \nOutput:\n0 2 0 \n2 2 0 \n0 2 0 \n0 2 0 \n2 2 0 \n0 2 0 \n0 2 0 \n2 2 0 \n0 2 0 \n\n# Test Problem:\nInput:\n1 1 1 \n0 1 0 \n0 1 0 \n1 1 1 \n0 1 0 \n0 1 0 \n", "raw": {"train": [{"input": [[0, 1, 0], [1, 1, 0], [0, 1, 0], [0, 1, 1], [0, 1, 0], [1, 1, 0]], "output": [[0, 2, 0], [2, 2, 0], [0, 2, 0], [0, 2, 2], [0, 2, 0], [2, 2, 0], [0, 2, 0], [0, 2, 2], [0, 2, 0]]}, {"input": [[0, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 1]], "output": [[0, 2, 0], [2, 0, 2], [0, 2, 0], [2, 0, 2], [0, 2, 0], [2, 0, 2], [0, 2, 0], [2, 0, 2], [0, 2, 0]]}, {"input": [[0, 1, 0], [1, 1, 0], [0, 1, 0], [0, 1, 0], [1, 1, 0], [0, 1, 0]], "output": [[0, 2, 0], [2, 2, 0], [0, 2, 0], [0, 2, 0], [2, 2, 0], [0, 2, 0], [0, 2, 0], [2, 2, 0], [0, 2, 0]]}], "test": [{"input": [[1, 1, 1], [0, 1, 0], [0, 1, 0], [1, 1, 1], [0, 1, 0], [0, 1, 0]], "output": [[2, 2, 2], [0, 2, 0], [0, 2, 0], [2, 2, 2], [0, 2, 0], [0, 2, 0], [2, 2, 2], [0, 2, 0], [0, 2, 0]]}]}, "answer": "2 2 2 \n0 2 0 \n0 2 0 \n2 2 2 \n0 2 0 \n0 2 0 \n2 2 2 \n0 2 0 \n0 2 0 \n", "split": "train", "language": "en"}
You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. Please output your answer within a code block (```), formatted as a grid of numbers. # Examples Example 1: Input: 0 0 0 0 0 0 0 0 0 0 6 6 6 0 0 0 0 0 0 6 0 0 6 0 0 0 0 0 0 6 0 0 6 0 0 0 0 0 0 6 0 0 6 0 0 0 0 0 0 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 6 6 6 0 0 0 0 0 0 6 0 0 6 0 0 0 0 0 0 6 0 0 6 0 0 0 0 0 0 6 0 6 0 0 0 0 0 0 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Example 2: Input: 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 0 0 0 0 8 0 0 0 0 8 0 0 0 0 8 0 0 0 0 8 0 0 0 0 8 0 0 0 0 8 0 0 0 0 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 0 0 0 0 8 0 0 0 0 8 0 0 0 0 8 0 0 0 0 8 0 0 0 0 8 0 0 0 8 0 0 0 0 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 # Test Problem: Input: 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0	0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 4 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0	arc_agi	puzzle	en	{"id": "a63ace71-8d42-403e-851f-09e069a53774", "question": "You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. \n\n# Examples\nExample 1:\nInput:\n0 0 0 0 0 0 0 0 0 \n0 6 6 6 0 0 0 0 0 \n0 6 0 0 6 0 0 0 0 \n0 0 6 0 0 6 0 0 0 \n0 0 0 6 0 0 6 0 0 \n0 0 0 0 6 6 6 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 2 2 2 0 0 0 0 \n0 0 2 0 0 2 0 0 0 \n0 0 0 2 2 2 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \nOutput:\n0 0 0 0 0 0 0 0 0 \n0 0 6 6 6 0 0 0 0 \n0 0 6 0 0 6 0 0 0 \n0 0 0 6 0 0 6 0 0 \n0 0 0 0 6 0 6 0 0 \n0 0 0 0 6 6 6 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 2 2 2 0 0 0 \n0 0 0 2 0 2 0 0 0 \n0 0 0 2 2 2 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n\nExample 2:\nInput:\n0 0 0 0 0 0 0 0 0 \n0 8 8 8 8 8 0 0 0 \n0 8 0 0 0 0 8 0 0 \n0 0 8 0 0 0 0 8 0 \n0 0 0 8 0 0 0 0 8 \n0 0 0 0 8 8 8 8 8 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \nOutput:\n0 0 0 0 0 0 0 0 0 \n0 0 8 8 8 8 8 0 0 \n0 0 8 0 0 0 0 8 0 \n0 0 0 8 0 0 0 0 8 \n0 0 0 0 8 0 0 0 8 \n0 0 0 0 8 8 8 8 8 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n\n# Test Problem:\nInput:\n0 0 0 0 0 0 0 0 0 0 \n0 4 4 4 4 4 4 0 0 0 \n0 4 0 0 0 0 0 4 0 0 \n0 0 4 0 0 0 0 0 4 0 \n0 0 0 4 0 0 0 0 0 4 \n0 0 0 0 4 4 4 4 4 4 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n", "raw": {"train": [{"input": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]}, {"input": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 8, 0, 0, 0], [0, 8, 0, 0, 0, 0, 8, 0, 0], [0, 0, 8, 0, 0, 0, 0, 8, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8], [0, 0, 0, 0, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 8, 8, 0, 0], [0, 0, 8, 0, 0, 0, 0, 8, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8], [0, 0, 0, 0, 8, 0, 0, 0, 8], [0, 0, 0, 0, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]}], "test": [{"input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 4, 0, 0, 0, 0, 4], [0, 0, 0, 0, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}]}, "answer": "0 0 0 0 0 0 0 0 0 0 \n0 0 4 4 4 4 4 4 0 0 \n0 0 4 0 0 0 0 0 4 0 \n0 0 0 4 0 0 0 0 0 4 \n0 0 0 0 4 0 0 0 0 4 \n0 0 0 0 4 4 4 4 4 4 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n", "split": "train", "language": "en"}
You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. Please output your answer within a code block (```), formatted as a grid of numbers. # Examples Example 1: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 8 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 0 3 3 3 0 3 3 3 0 3 3 3 0 0 0 0 0 0 8 0 8 0 3 0 3 0 3 0 3 0 3 0 3 0 0 0 0 0 0 8 8 8 0 3 3 3 0 3 3 3 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 Example 2: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 1 0 0 0 4 0 0 0 4 2 2 0 2 2 2 0 2 2 2 0 1 1 1 0 4 4 4 0 4 4 2 0 0 0 2 0 0 0 2 0 0 0 1 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Example 3: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 # Test Problem: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 8 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 8 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0	0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 0 2 2 2 0 2 2 2 0 2 2 2 0 0 0 0 0 0 8 0 8 0 2 0 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 8 0 8 0 2 0 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0	arc_agi	puzzle	en	{"id": "4d972f49-b05e-4c9c-81bf-82bc49f079c3", "question": "You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. \n\n# Examples\nExample 1:\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 8 8 8 0 3 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 8 0 8 0 3 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 8 8 8 0 3 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \nOutput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 8 8 8 0 3 3 3 0 3 3 3 0 3 3 3 \n0 0 0 0 0 0 8 0 8 0 3 0 3 0 3 0 3 0 3 0 3 \n0 0 0 0 0 0 8 8 8 0 3 3 3 0 3 3 3 0 3 3 3 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 \n\nExample 2:\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 2 0 1 1 1 0 4 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \nOutput:\n0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2 0 0 0 2 0 0 0 2 0 0 0 1 0 0 0 4 0 0 0 4 \n2 2 0 2 2 2 0 2 2 2 0 1 1 1 0 4 4 4 0 4 4 \n2 0 0 0 2 0 0 0 2 0 0 0 1 0 0 0 4 0 0 0 4 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n\nExample 3:\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 5 5 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \nOutput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 6 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 6 6 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 6 0 6 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 6 6 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 5 5 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 \n\n# Test Problem:\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 8 8 8 0 2 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 8 0 8 0 2 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 8 0 8 0 2 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n", "raw": {"train": [{"input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 8 8 8 0 2 2 2 0 2 2 2 0 2 2 2 \n0 0 0 0 0 0 8 0 8 0 2 0 2 0 2 0 2 0 2 0 2 \n0 0 0 0 0 0 8 0 8 0 2 0 2 0 2 0 2 0 2 0 2 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 \n", "split": "train", "language": "en"}
You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. Please output your answer within a code block (```), formatted as a grid of numbers. # Examples Example 1: Input: 1 0 0 5 0 1 0 0 1 0 5 1 1 1 1 0 0 5 0 0 0 Output: 0 0 0 0 2 0 0 0 0 Example 2: Input: 1 1 0 5 0 1 0 0 0 1 5 1 1 1 1 1 0 5 0 1 0 Output: 0 2 0 0 0 2 0 2 0 Example 3: Input: 0 0 1 5 0 0 0 1 1 0 5 1 0 1 0 1 1 5 1 0 1 Output: 0 0 0 2 0 0 0 0 2 # Test Problem: Input: 1 0 1 5 1 0 1 0 1 0 5 1 0 1 1 0 1 5 0 1 0	2 0 2 0 0 0 0 0 0	arc_agi	puzzle	en	{"id": "e3c58453-33a0-49ec-bf1d-d5d62a16e3c9", "question": "You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. \n\n# Examples\nExample 1:\nInput:\n1 0 0 5 0 1 0 \n0 1 0 5 1 1 1 \n1 0 0 5 0 0 0 \nOutput:\n0 0 0 \n0 2 0 \n0 0 0 \n\nExample 2:\nInput:\n1 1 0 5 0 1 0 \n0 0 1 5 1 1 1 \n1 1 0 5 0 1 0 \nOutput:\n0 2 0 \n0 0 2 \n0 2 0 \n\nExample 3:\nInput:\n0 0 1 5 0 0 0 \n1 1 0 5 1 0 1 \n0 1 1 5 1 0 1 \nOutput:\n0 0 0 \n2 0 0 \n0 0 2 \n\n# Test Problem:\nInput:\n1 0 1 5 1 0 1 \n0 1 0 5 1 0 1 \n1 0 1 5 0 1 0 \n", "raw": {"train": [{"input": [[1, 0, 0, 5, 0, 1, 0], [0, 1, 0, 5, 1, 1, 1], [1, 0, 0, 5, 0, 0, 0]], "output": [[0, 0, 0], [0, 2, 0], [0, 0, 0]]}, {"input": [[1, 1, 0, 5, 0, 1, 0], [0, 0, 1, 5, 1, 1, 1], [1, 1, 0, 5, 0, 1, 0]], "output": [[0, 2, 0], [0, 0, 2], [0, 2, 0]]}, {"input": [[0, 0, 1, 5, 0, 0, 0], [1, 1, 0, 5, 1, 0, 1], [0, 1, 1, 5, 1, 0, 1]], "output": [[0, 0, 0], [2, 0, 0], [0, 0, 2]]}], "test": [{"input": [[1, 0, 1, 5, 1, 0, 1], [0, 1, 0, 5, 1, 0, 1], [1, 0, 1, 5, 0, 1, 0]], "output": [[2, 0, 2], [0, 0, 0], [0, 0, 0]]}]}, "answer": "2 0 2 \n0 0 0 \n0 0 0 \n", "split": "train", "language": "en"}
You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. Please output your answer within a code block (```), formatted as a grid of numbers. # Examples Example 1: Input: 2 8 3 0 0 0 0 8 3 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 2 8 3 2 8 3 2 8 3 2 8 3 2 8 3 2 8 3 2 8 3 2 8 3 2 8 3 2 8 3 2 8 3 2 8 3 2 8 3 2 8 3 2 8 3 2 8 3 2 Example 2: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 2 0 0 0 0 1 2 4 0 0 0 1 2 4 0 0 0 1 2 4 0 0 Output: 2 4 1 2 4 1 2 4 1 2 4 1 2 4 1 2 4 1 2 4 1 2 4 1 2 4 1 2 4 1 2 4 1 2 4 1 2 4 1 2 4 1 2 4 1 2 4 1 2 Example 3: Input: 0 0 0 0 8 3 0 0 0 0 8 3 0 0 0 0 8 3 0 0 0 0 8 3 0 0 0 4 8 3 0 0 0 4 0 3 0 0 0 4 0 0 0 0 0 4 0 0 0 Output: 4 8 3 4 8 3 4 8 3 4 8 3 4 8 3 4 8 3 4 8 3 4 8 3 4 8 3 4 8 3 4 8 3 4 8 3 4 8 3 4 8 3 4 8 3 4 8 3 4 # Test Problem: Input: 0 1 0 0 0 0 2 1 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 4 2 0 0 0 0 4 0	2 1 4 2 1 4 2 1 4 2 1 4 2 1 4 2 1 4 2 1 4 2 1 4 2 1 4 2 1 4 2 1 4 2 1 4 2 1 4 2 1 4 2 1 4 2 1 4 2	arc_agi	puzzle	en	{"id": "12465042-853c-46c0-9c5f-b4c88dfce98f", "question": "You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. \n\n# Examples\nExample 1:\nInput:\n2 8 3 0 0 0 0 \n8 3 0 0 0 0 0 \n3 0 0 0 0 0 0 \n0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 \nOutput:\n2 8 3 2 8 3 2 \n8 3 2 8 3 2 8 \n3 2 8 3 2 8 3 \n2 8 3 2 8 3 2 \n8 3 2 8 3 2 8 \n3 2 8 3 2 8 3 \n2 8 3 2 8 3 2 \n\nExample 2:\nInput:\n0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 \n0 0 0 0 0 0 1 \n0 0 0 0 0 1 2 \n0 0 0 0 1 2 4 \n0 0 0 1 2 4 0 \n0 0 1 2 4 0 0 \nOutput:\n2 4 1 2 4 1 2 \n4 1 2 4 1 2 4 \n1 2 4 1 2 4 1 \n2 4 1 2 4 1 2 \n4 1 2 4 1 2 4 \n1 2 4 1 2 4 1 \n2 4 1 2 4 1 2 \n\nExample 3:\nInput:\n0 0 0 0 8 3 0 \n0 0 0 8 3 0 0 \n0 0 8 3 0 0 0 \n0 8 3 0 0 0 4 \n8 3 0 0 0 4 0 \n3 0 0 0 4 0 0 \n0 0 0 4 0 0 0 \nOutput:\n4 8 3 4 8 3 4 \n8 3 4 8 3 4 8 \n3 4 8 3 4 8 3 \n4 8 3 4 8 3 4 \n8 3 4 8 3 4 8 \n3 4 8 3 4 8 3 \n4 8 3 4 8 3 4 \n\n# Test Problem:\nInput:\n0 1 0 0 0 0 2 \n1 0 0 0 0 2 0 \n0 0 0 0 2 0 0 \n0 0 0 2 0 0 0 \n0 0 2 0 0 0 0 \n0 2 0 0 0 0 4 \n2 0 0 0 0 4 0 \n", "raw": {"train": [{"input": [[2, 8, 3, 0, 0, 0, 0], [8, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0]], "output": [[2, 8, 3, 2, 8, 3, 2], [8, 3, 2, 8, 3, 2, 8], [3, 2, 8, 3, 2, 8, 3], [2, 8, 3, 2, 8, 3, 2], [8, 3, 2, 8, 3, 2, 8], [3, 2, 8, 3, 2, 8, 3], [2, 8, 3, 2, 8, 3, 2]]}, {"input": [[0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 2], [0, 0, 0, 0, 1, 2, 4], [0, 0, 0, 1, 2, 4, 0], [0, 0, 1, 2, 4, 0, 0]], "output": [[2, 4, 1, 2, 4, 1, 2], [4, 1, 2, 4, 1, 2, 4], [1, 2, 4, 1, 2, 4, 1], [2, 4, 1, 2, 4, 1, 2], [4, 1, 2, 4, 1, 2, 4], [1, 2, 4, 1, 2, 4, 1], [2, 4, 1, 2, 4, 1, 2]]}, {"input": [[0, 0, 0, 0, 8, 3, 0], [0, 0, 0, 8, 3, 0, 0], [0, 0, 8, 3, 0, 0, 0], [0, 8, 3, 0, 0, 0, 4], [8, 3, 0, 0, 0, 4, 0], [3, 0, 0, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 0]], "output": [[4, 8, 3, 4, 8, 3, 4], [8, 3, 4, 8, 3, 4, 8], [3, 4, 8, 3, 4, 8, 3], [4, 8, 3, 4, 8, 3, 4], [8, 3, 4, 8, 3, 4, 8], [3, 4, 8, 3, 4, 8, 3], [4, 8, 3, 4, 8, 3, 4]]}], "test": [{"input": [[0, 1, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 4], [2, 0, 0, 0, 0, 4, 0]], "output": [[2, 1, 4, 2, 1, 4, 2], [1, 4, 2, 1, 4, 2, 1], [4, 2, 1, 4, 2, 1, 4], [2, 1, 4, 2, 1, 4, 2], [1, 4, 2, 1, 4, 2, 1], [4, 2, 1, 4, 2, 1, 4], [2, 1, 4, 2, 1, 4, 2]]}]}, "answer": "2 1 4 2 1 4 2 \n1 4 2 1 4 2 1 \n4 2 1 4 2 1 4 \n2 1 4 2 1 4 2 \n1 4 2 1 4 2 1 \n4 2 1 4 2 1 4 \n2 1 4 2 1 4 2 \n", "split": "train", "language": "en"}
You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. Please output your answer within a code block (```), formatted as a grid of numbers. # Examples Example 1: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Example 2: Input: 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 2 0 0 0 8 8 0 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 2 8 8 0 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Example 3: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 # Test Problem: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 8 8 0 0 2 2 0 0 0 0 8 8 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0	0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 8 8 2 2 0 0 0 0 0 0 8 8 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0	arc_agi	puzzle	en	{"id": "1c955a02-b5ca-43b3-84f1-6db1f3c79fac", "question": "You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. \n\n# Examples\nExample 1:\nInput:\n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 2 2 2 0 0 0 0 0 \n2 2 0 2 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 8 8 0 0 0 0 \n0 0 0 8 8 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \nOutput:\n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 2 2 2 0 0 0 0 0 \n2 2 0 2 0 0 0 0 0 \n0 0 0 8 8 0 0 0 0 \n0 0 0 8 8 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n\nExample 2:\nInput:\n0 0 0 0 0 0 0 0 0 0 \n0 2 2 0 0 0 0 0 0 0 \n0 2 2 0 0 0 0 0 0 0 \n2 2 2 0 0 0 0 0 0 0 \n0 2 2 0 0 0 8 8 0 0 \n0 0 0 0 0 0 8 8 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \nOutput:\n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 2 2 0 0 0 0 \n0 0 0 0 2 2 0 0 0 0 \n0 0 0 2 2 2 0 0 0 0 \n0 0 0 0 2 2 8 8 0 0 \n0 0 0 0 0 0 8 8 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n\nExample 3:\nInput:\n0 0 0 0 0 0 0 0 0 0 \n0 0 0 8 8 0 0 0 0 0 \n0 0 0 8 8 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 2 2 2 0 0 0 0 \n0 2 2 2 2 2 0 0 0 0 \n0 0 2 2 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \nOutput:\n0 0 0 0 0 0 0 0 0 0 \n0 0 0 8 8 0 0 0 0 0 \n0 0 0 8 8 0 0 0 0 0 \n0 0 0 2 2 2 0 0 0 0 \n0 2 2 2 2 2 0 0 0 0 \n0 0 2 2 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n\n# Test Problem:\nInput:\n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 2 0 0 0 0 \n0 0 0 0 0 2 2 0 0 0 \n0 8 8 0 0 2 2 0 0 0 \n0 8 8 0 0 0 2 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n", "raw": {"train": [{"input": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 0, 0, 0], [2, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 0, 0, 0, 0], [0, 0, 0, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 0, 0, 0], [2, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 0, 0, 0, 0], [0, 0, 0, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]}, {"input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}, {"input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}], "test": [{"input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 0], [0, 8, 8, 0, 0, 2, 2, 0, 0, 0], [0, 8, 8, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 0], [0, 8, 8, 2, 2, 0, 0, 0, 0, 0], [0, 8, 8, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}]}, "answer": "0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 2 0 0 0 0 0 0 \n0 0 0 2 2 0 0 0 0 0 \n0 8 8 2 2 0 0 0 0 0 \n0 8 8 0 2 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 \n", "split": "train", "language": "en"}
You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. Please output your answer within a code block (```), formatted as a grid of numbers. # Examples Example 1: Input: 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 8 2 2 8 0 0 8 0 0 8 0 0 8 2 2 8 0 0 0 0 8 2 2 8 0 0 8 0 0 8 0 0 8 2 2 8 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 8 0 0 8 0 0 8 1 1 8 0 0 8 0 0 8 0 0 0 0 8 0 0 8 0 0 8 1 1 8 0 0 8 0 0 8 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 2 2 8 0 0 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 2 2 8 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 8 3 3 8 0 0 8 3 3 8 0 0 8 0 0 8 0 0 0 0 8 3 3 8 0 0 8 3 3 8 0 0 8 0 0 8 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 Output: 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 8 2 2 8 2 2 8 2 2 8 2 2 8 2 2 8 0 0 0 0 8 2 2 8 2 2 8 2 2 8 2 2 8 2 2 8 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 8 0 0 8 0 0 8 1 1 8 0 0 8 2 2 8 0 0 0 0 8 0 0 8 0 0 8 1 1 8 0 0 8 2 2 8 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 2 2 8 0 0 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 2 2 8 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 8 3 3 8 3 3 8 3 3 8 0 0 8 0 0 8 0 0 0 0 8 3 3 8 3 3 8 3 3 8 0 0 8 0 0 8 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 Example 2: Input: 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 2 2 1 0 0 1 0 0 1 4 4 1 0 0 1 0 0 1 0 0 0 0 1 2 2 1 0 0 1 0 0 1 4 4 1 0 0 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 0 1 9 9 1 0 0 1 0 0 1 0 0 1 9 9 0 0 1 0 0 1 0 0 1 9 9 1 0 0 1 0 0 1 0 0 1 9 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 8 8 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 8 8 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 2 2 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 2 2 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 0 1 8 8 1 0 0 1 0 0 1 8 8 1 0 0 0 0 1 0 0 1 0 0 1 8 8 1 0 0 1 0 0 1 8 8 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 Output: 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 2 2 1 0 0 1 0 0 1 4 4 1 0 0 1 0 0 1 0 0 0 0 1 2 2 1 0 0 1 0 0 1 4 4 1 0 0 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 2 2 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 2 2 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 2 2 1 0 0 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 0 0 1 2 2 1 0 0 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 2 2 1 0 0 1 0 0 1 0 0 1 0 0 1 8 8 1 0 0 0 0 1 2 2 1 0 0 1 0 0 1 0 0 1 0 0 1 8 8 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 2 2 1 0 0 1 0 0 1 0 0 1 0 0 1 8 8 1 0 0 0 0 1 2 2 1 0 0 1 0 0 1 0 0 1 0 0 1 8 8 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 0 1 8 8 1 8 8 1 8 8 1 8 8 1 0 0 0 0 1 0 0 1 0 0 1 8 8 1 8 8 1 8 8 1 8 8 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 Example 3: Input: 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 2 2 4 0 0 0 0 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 2 2 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 3 3 4 0 0 4 0 0 0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 3 3 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 Output: 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 3 3 4 0 0 4 2 2 4 2 2 4 2 2 4 2 2 4 0 0 0 0 4 3 3 4 0 0 4 2 2 4 2 2 4 2 2 4 2 2 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 3 3 4 3 3 4 3 3 4 3 3 4 3 3 4 0 0 4 0 0 0 0 4 3 3 4 3 3 4 3 3 4 3 3 4 3 3 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 # Test Problem: Input: 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 3 3 4 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 3 3 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 0 0 4 2 2 4 0 0 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0	0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 2 2 4 0 0 4 3 3 4 0 0 0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 2 2 4 0 0 4 3 3 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 2 2 4 2 2 4 2 2 4 2 2 4 2 2 4 0 0 4 0 0 4 0 0 0 0 4 2 2 4 2 2 4 2 2 4 2 2 4 2 2 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0	arc_agi	puzzle	en	{"id": "5090afc4-0eaa-4c4a-8db4-8c41675e7db4", "question": "You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. \n\n# Examples\nExample 1:\nInput:\n0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 \n0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 \n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 \n0 0 8 2 2 8 0 0 8 0 0 8 0 0 8 2 2 8 0 0 \n0 0 8 2 2 8 0 0 8 0 0 8 0 0 8 2 2 8 0 0 \n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 \n0 0 8 0 0 8 0 0 8 1 1 8 0 0 8 0 0 8 0 0 \n0 0 8 0 0 8 0 0 8 1 1 8 0 0 8 0 0 8 0 0 \n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 \n0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 2 2 8 0 0 \n0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 2 2 8 0 0 \n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 \n0 0 8 3 3 8 0 0 8 3 3 8 0 0 8 0 0 8 0 0 \n0 0 8 3 3 8 0 0 8 3 3 8 0 0 8 0 0 8 0 0 \n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 \n0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 \n0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 \n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 \n0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 \n0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 \nOutput:\n0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 \n0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 \n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 \n0 0 8 2 2 8 2 2 8 2 2 8 2 2 8 2 2 8 0 0 \n0 0 8 2 2 8 2 2 8 2 2 8 2 2 8 2 2 8 0 0 \n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 \n0 0 8 0 0 8 0 0 8 1 1 8 0 0 8 2 2 8 0 0 \n0 0 8 0 0 8 0 0 8 1 1 8 0 0 8 2 2 8 0 0 \n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 \n0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 2 2 8 0 0 \n0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 2 2 8 0 0 \n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 \n0 0 8 3 3 8 3 3 8 3 3 8 0 0 8 0 0 8 0 0 \n0 0 8 3 3 8 3 3 8 3 3 8 0 0 8 0 0 8 0 0 \n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 \n0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 \n0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 \n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 \n0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 \n0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 0 \n\nExample 2:\nInput:\n0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 \n0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n0 0 1 2 2 1 0 0 1 0 0 1 4 4 1 0 0 1 0 0 1 0 0 \n0 0 1 2 2 1 0 0 1 0 0 1 4 4 1 0 0 1 0 0 1 0 0 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 \n0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n0 0 1 0 0 1 0 0 1 9 9 1 0 0 1 0 0 1 0 0 1 9 9 \n0 0 1 0 0 1 0 0 1 9 9 1 0 0 1 0 0 1 0 0 1 9 9 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 8 8 1 0 0 \n0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 8 8 1 0 0 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n0 0 1 2 2 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 \n0 0 1 2 2 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n0 0 1 0 0 1 0 0 1 8 8 1 0 0 1 0 0 1 8 8 1 0 0 \n0 0 1 0 0 1 0 0 1 8 8 1 0 0 1 0 0 1 8 8 1 0 0 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 \n0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 \nOutput:\n0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 \n0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n0 0 1 2 2 1 0 0 1 0 0 1 4 4 1 0 0 1 0 0 1 0 0 \n0 0 1 2 2 1 0 0 1 0 0 1 4 4 1 0 0 1 0 0 1 0 0 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n0 0 1 2 2 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 \n0 0 1 2 2 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n0 0 1 2 2 1 0 0 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 \n0 0 1 2 2 1 0 0 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n0 0 1 2 2 1 0 0 1 0 0 1 0 0 1 0 0 1 8 8 1 0 0 \n0 0 1 2 2 1 0 0 1 0 0 1 0 0 1 0 0 1 8 8 1 0 0 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n0 0 1 2 2 1 0 0 1 0 0 1 0 0 1 0 0 1 8 8 1 0 0 \n0 0 1 2 2 1 0 0 1 0 0 1 0 0 1 0 0 1 8 8 1 0 0 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n0 0 1 0 0 1 0 0 1 8 8 1 8 8 1 8 8 1 8 8 1 0 0 \n0 0 1 0 0 1 0 0 1 8 8 1 8 8 1 8 8 1 8 8 1 0 0 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 \n0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 \n\nExample 3:\nInput:\n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 \n0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 2 2 4 0 0 \n0 0 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 2 2 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 3 3 4 0 0 4 0 0 \n0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 3 3 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \nOutput:\n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 \n0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 3 3 4 0 0 4 2 2 4 2 2 4 2 2 4 2 2 4 0 0 \n0 0 4 3 3 4 0 0 4 2 2 4 2 2 4 2 2 4 2 2 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n0 0 4 3 3 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 3 3 4 3 3 4 3 3 4 3 3 4 3 3 4 0 0 4 0 0 \n0 0 4 3 3 4 3 3 4 3 3 4 3 3 4 3 3 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n\n# Test Problem:\nInput:\n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 \n0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 3 3 4 0 0 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 3 3 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 2 2 4 0 0 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 \n0 0 4 2 2 4 0 0 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n", "raw": {"train": [{"input": [[0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 2, 2, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 2, 2, 8, 0, 0], [0, 0, 8, 2, 2, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 2, 2, 8, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 0, 0, 8, 0, 0, 8, 1, 1, 8, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 8, 0, 0, 8, 0, 0, 8, 1, 1, 8, 0, 0, 8, 0, 0, 8, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 2, 2, 8, 0, 0], [0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 2, 2, 8, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 3, 3, 8, 0, 0, 8, 3, 3, 8, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 8, 3, 3, 8, 0, 0, 8, 3, 3, 8, 0, 0, 8, 0, 0, 8, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0]], "output": [[0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 0, 0], [0, 0, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 0, 0, 8, 0, 0, 8, 1, 1, 8, 0, 0, 8, 2, 2, 8, 0, 0], [0, 0, 8, 0, 0, 8, 0, 0, 8, 1, 1, 8, 0, 0, 8, 2, 2, 8, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 2, 2, 8, 0, 0], [0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 2, 2, 8, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 3, 3, 8, 3, 3, 8, 3, 3, 8, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 8, 3, 3, 8, 3, 3, 8, 3, 3, 8, 0, 0, 8, 0, 0, 8, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 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1, 9, 9, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 9, 9], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 8, 8, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 8, 8, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0], [0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 1, 0, 0, 1, 0, 0, 1, 8, 8, 1, 0, 0, 1, 0, 0, 1, 8, 8, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 0, 1, 8, 8, 1, 0, 0, 1, 0, 0, 1, 8, 8, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0]], "output": [[0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 1, 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1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 8, 8, 1, 0, 0], [0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 8, 8, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 1, 0, 0, 1, 0, 0, 1, 8, 8, 1, 8, 8, 1, 8, 8, 1, 8, 8, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 0, 1, 8, 8, 1, 8, 8, 1, 8, 8, 1, 8, 8, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0]]}, {"input": [[0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 3, 3, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0, 4, 0, 0], [0, 0, 4, 3, 3, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 3, 3, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 3, 3, 4, 0, 0, 4, 0, 0], [0, 0, 4, 3, 3, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 3, 3, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0]], "output": [[0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 3, 3, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0, 4, 0, 0], [0, 0, 4, 3, 3, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 3, 3, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 3, 3, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 3, 3, 4, 0, 0, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 0, 0], [0, 0, 4, 3, 3, 4, 0, 0, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 3, 3, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 3, 3, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 3, 3, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 3, 3, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 0, 0, 4, 0, 0], [0, 0, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0]]}], "test": [{"input": [[0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 8, 8, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 8, 8, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 3, 3, 4, 0, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 3, 3, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 8, 8, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 8, 8, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 2, 2, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 2, 2, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0]], "output": [[0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 8, 8, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 8, 8, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 8, 8, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 8, 8, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 8, 8, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0, 4, 3, 3, 4, 0, 0], [0, 0, 4, 0, 0, 4, 8, 8, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0, 4, 3, 3, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 8, 8, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 8, 8, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0]]}]}, "answer": "0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 \n0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 \n0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 2 2 4 0 0 4 3 3 4 0 0 \n0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 2 2 4 0 0 4 3 3 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 \n0 0 4 0 0 4 8 8 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 2 2 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 2 2 4 2 2 4 2 2 4 2 2 4 2 2 4 0 0 4 0 0 4 0 0 \n0 0 4 2 2 4 2 2 4 2 2 4 2 2 4 2 2 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 \n", "split": "train", "language": "en"}
You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. Please output your answer within a code block (```), formatted as a grid of numbers. # Examples Example 1: Input: 0 0 0 0 0 5 0 0 0 0 5 0 0 0 5 0 0 0 0 5 0 0 0 5 0 0 0 0 5 0 5 0 5 0 0 0 0 5 0 5 0 5 0 0 0 0 5 0 5 0 5 0 0 0 0 5 0 5 0 5 0 5 0 0 5 0 5 0 5 0 5 0 0 5 0 5 0 5 0 5 0 Output: 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 0 0 0 0 2 0 0 0 1 0 0 0 0 2 0 3 0 1 0 0 0 0 2 0 3 0 1 0 0 0 0 2 0 3 0 1 0 0 0 0 2 0 3 0 1 0 4 0 0 2 0 3 0 1 0 4 0 0 2 0 3 0 1 0 4 0 Example 2: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 5 0 0 0 0 5 0 0 0 5 0 0 0 0 5 0 5 0 5 0 0 0 0 5 0 5 0 5 0 0 5 0 5 0 5 0 5 0 0 5 0 5 0 5 0 5 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 1 0 0 0 0 2 0 3 0 1 0 0 0 0 2 0 3 0 1 0 0 4 0 2 0 3 0 1 0 0 4 0 2 0 3 0 1 0 # Test Problem: Input: 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 5 0 0 0 5 0 0 0 0 5 0 0 0 5 0 0 0 0 5 0 0 0 5 0 5 0 0 5 0 0 0 5 0 5 0 0 5 0 5 0 5 0 5 0 0 5 0 5 0 5 0 5 0 0 5 0 5 0 5 0 5 0	0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 1 0 0 0 2 0 0 0 0 1 0 0 0 2 0 3 0 0 1 0 0 0 2 0 3 0 0 1 0 4 0 2 0 3 0 0 1 0 4 0 2 0 3 0 0 1 0 4 0 2 0 3 0	arc_agi	puzzle	en	{"id": "9141711b-4ed5-48ab-a345-46fb2bd31ae9", "question": "You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. \n\n# Examples\nExample 1:\nInput:\n0 0 0 0 0 5 0 0 0 \n0 5 0 0 0 5 0 0 0 \n0 5 0 0 0 5 0 0 0 \n0 5 0 5 0 5 0 0 0 \n0 5 0 5 0 5 0 0 0 \n0 5 0 5 0 5 0 0 0 \n0 5 0 5 0 5 0 5 0 \n0 5 0 5 0 5 0 5 0 \n0 5 0 5 0 5 0 5 0 \nOutput:\n0 0 0 0 0 1 0 0 0 \n0 2 0 0 0 1 0 0 0 \n0 2 0 0 0 1 0 0 0 \n0 2 0 3 0 1 0 0 0 \n0 2 0 3 0 1 0 0 0 \n0 2 0 3 0 1 0 0 0 \n0 2 0 3 0 1 0 4 0 \n0 2 0 3 0 1 0 4 0 \n0 2 0 3 0 1 0 4 0 \n\nExample 2:\nInput:\n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 5 0 \n0 0 0 0 0 0 0 5 0 \n0 0 0 0 0 0 0 5 0 \n0 0 0 5 0 0 0 5 0 \n0 0 0 5 0 5 0 5 0 \n0 0 0 5 0 5 0 5 0 \n0 5 0 5 0 5 0 5 0 \n0 5 0 5 0 5 0 5 0 \nOutput:\n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 1 0 \n0 0 0 0 0 0 0 1 0 \n0 0 0 0 0 0 0 1 0 \n0 0 0 2 0 0 0 1 0 \n0 0 0 2 0 3 0 1 0 \n0 0 0 2 0 3 0 1 0 \n0 4 0 2 0 3 0 1 0 \n0 4 0 2 0 3 0 1 0 \n\n# Test Problem:\nInput:\n0 0 0 0 0 0 0 0 0 \n0 5 0 0 0 0 0 0 0 \n0 5 0 0 0 5 0 0 0 \n0 5 0 0 0 5 0 0 0 \n0 5 0 0 0 5 0 5 0 \n0 5 0 0 0 5 0 5 0 \n0 5 0 5 0 5 0 5 0 \n0 5 0 5 0 5 0 5 0 \n0 5 0 5 0 5 0 5 0 \n", "raw": {"train": [{"input": [[0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 5, 0, 5, 0, 5, 0, 0, 0], [0, 5, 0, 5, 0, 5, 0, 0, 0], [0, 5, 0, 5, 0, 5, 0, 0, 0], [0, 5, 0, 5, 0, 5, 0, 5, 0], [0, 5, 0, 5, 0, 5, 0, 5, 0], [0, 5, 0, 5, 0, 5, 0, 5, 0]], "output": [[0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 2, 0, 0, 0, 1, 0, 0, 0], [0, 2, 0, 0, 0, 1, 0, 0, 0], [0, 2, 0, 3, 0, 1, 0, 0, 0], [0, 2, 0, 3, 0, 1, 0, 0, 0], [0, 2, 0, 3, 0, 1, 0, 0, 0], [0, 2, 0, 3, 0, 1, 0, 4, 0], [0, 2, 0, 3, 0, 1, 0, 4, 0], [0, 2, 0, 3, 0, 1, 0, 4, 0]]}, {"input": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0], [0, 0, 0, 5, 0, 5, 0, 5, 0], [0, 0, 0, 5, 0, 5, 0, 5, 0], [0, 5, 0, 5, 0, 5, 0, 5, 0], [0, 5, 0, 5, 0, 5, 0, 5, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 2, 0, 0, 0, 1, 0], [0, 0, 0, 2, 0, 3, 0, 1, 0], [0, 0, 0, 2, 0, 3, 0, 1, 0], [0, 4, 0, 2, 0, 3, 0, 1, 0], [0, 4, 0, 2, 0, 3, 0, 1, 0]]}], "test": [{"input": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 5, 0, 5, 0, 5, 0], [0, 5, 0, 5, 0, 5, 0, 5, 0], [0, 5, 0, 5, 0, 5, 0, 5, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 2, 0, 0, 0], [0, 1, 0, 0, 0, 2, 0, 0, 0], [0, 1, 0, 0, 0, 2, 0, 3, 0], [0, 1, 0, 0, 0, 2, 0, 3, 0], [0, 1, 0, 4, 0, 2, 0, 3, 0], [0, 1, 0, 4, 0, 2, 0, 3, 0], [0, 1, 0, 4, 0, 2, 0, 3, 0]]}]}, "answer": "0 0 0 0 0 0 0 0 0 \n0 1 0 0 0 0 0 0 0 \n0 1 0 0 0 2 0 0 0 \n0 1 0 0 0 2 0 0 0 \n0 1 0 0 0 2 0 3 0 \n0 1 0 0 0 2 0 3 0 \n0 1 0 4 0 2 0 3 0 \n0 1 0 4 0 2 0 3 0 \n0 1 0 4 0 2 0 3 0 \n", "split": "train", "language": "en"}
You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. Please output your answer within a code block (```), formatted as a grid of numbers. # Examples Example 1: Input: 2 0 0 5 0 6 2 5 0 0 4 0 4 3 5 4 0 8 5 3 0 6 6 0 0 5 3 0 0 5 8 0 2 5 5 5 5 5 5 5 5 5 5 5 3 8 0 5 6 2 0 5 0 4 8 0 0 4 5 0 0 4 5 6 0 0 6 2 0 5 3 8 0 5 0 3 2 5 5 5 5 5 5 5 5 5 5 5 0 3 6 5 0 2 0 5 0 6 0 2 0 0 5 4 0 8 5 0 0 8 8 0 4 5 6 3 0 5 2 3 4 Output: 2 2 2 5 0 0 0 5 0 0 0 2 2 2 5 0 0 0 5 0 0 0 2 2 2 5 0 0 0 5 0 0 0 5 5 5 5 5 5 5 5 5 5 5 0 0 0 5 4 4 4 5 3 3 3 0 0 0 5 4 4 4 5 3 3 3 0 0 0 5 4 4 4 5 3 3 3 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 0 0 0 5 0 0 0 6 6 6 5 0 0 0 5 0 0 0 6 6 6 5 0 0 0 5 0 0 0 Example 2: Input: 2 0 3 5 4 6 0 5 0 6 0 0 0 8 5 0 0 2 5 4 0 3 4 6 0 5 3 8 0 5 2 0 8 5 5 5 5 5 5 5 5 5 5 5 4 0 8 5 0 0 2 5 0 6 4 0 0 2 5 0 3 0 5 3 0 0 3 0 6 5 4 0 6 5 8 0 2 5 5 5 5 5 5 5 5 5 5 5 3 6 0 5 0 8 4 5 2 0 0 0 8 4 5 2 0 0 5 8 0 3 2 0 0 5 0 3 6 5 6 4 0 Output: 0 0 0 5 0 0 0 5 2 2 2 0 0 0 5 0 0 0 5 2 2 2 0 0 0 5 0 0 0 5 2 2 2 5 5 5 5 5 5 5 5 5 5 5 0 0 0 5 3 3 3 5 0 0 0 0 0 0 5 3 3 3 5 0 0 0 0 0 0 5 3 3 3 5 0 0 0 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 0 0 0 5 6 6 6 4 4 4 5 0 0 0 5 6 6 6 4 4 4 5 0 0 0 5 6 6 6 Example 3: Input: 0 3 0 5 0 6 3 5 0 6 2 6 0 4 5 2 8 0 5 0 0 8 0 2 8 5 0 4 0 5 3 0 4 5 5 5 5 5 5 5 5 5 5 5 0 2 0 5 4 0 3 5 3 4 0 4 0 8 5 2 0 6 5 0 0 2 3 6 0 5 0 8 0 5 8 6 0 5 5 5 5 5 5 5 5 5 5 5 6 3 0 5 0 3 0 5 0 0 3 0 0 2 5 0 6 4 5 2 8 0 8 4 0 5 2 0 0 5 4 0 6 Output: 0 0 0 5 3 3 3 5 0 0 0 0 0 0 5 3 3 3 5 0 0 0 0 0 0 5 3 3 3 5 0 0 0 5 5 5 5 5 5 5 5 5 5 5 0 0 0 5 6 6 6 5 4 4 4 0 0 0 5 6 6 6 5 4 4 4 0 0 0 5 6 6 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 2 2 2 5 0 0 0 5 0 0 0 2 2 2 5 0 0 0 5 0 0 0 2 2 2 5 0 0 0 5 0 0 0 Example 4: Input: 3 8 4 5 4 6 0 5 2 0 8 0 0 0 5 8 0 3 5 6 0 3 6 2 0 5 0 2 0 5 4 0 0 5 5 5 5 5 5 5 5 5 5 5 0 4 2 5 8 0 3 5 0 4 0 0 8 6 5 0 0 4 5 0 2 6 0 3 0 5 2 6 0 5 0 3 0 5 5 5 5 5 5 5 5 5 5 5 0 6 0 5 6 2 0 5 3 6 0 3 0 8 5 0 8 3 5 0 0 4 4 2 0 5 0 0 4 5 2 0 8 Output: 0 0 0 5 4 4 4 5 0 0 0 0 0 0 5 4 4 4 5 0 0 0 0 0 0 5 4 4 4 5 0 0 0 5 5 5 5 5 5 5 5 5 5 5 0 0 0 5 2 2 2 5 6 6 6 0 0 0 5 2 2 2 5 6 6 6 0 0 0 5 2 2 2 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 0 0 0 5 3 3 3 5 0 0 0 0 0 0 5 3 3 3 5 0 0 0 0 0 0 5 3 3 3 5 0 0 0 # Test Problem: Input: 6 4 0 5 0 3 0 5 0 4 0 0 0 3 5 2 8 6 5 8 0 2 2 0 8 5 4 0 0 5 6 3 0 5 5 5 5 5 5 5 5 5 5 5 2 0 0 5 0 3 0 5 3 6 2 3 4 6 5 8 4 2 5 0 0 4 0 8 0 5 0 0 6 5 8 0 0 5 5 5 5 5 5 5 5 5 5 5 0 2 4 5 0 6 4 5 0 2 8 0 6 3 5 0 0 3 5 4 0 6 0 0 0 5 2 0 8 5 3 0 0	0 0 0 5 2 2 2 5 4 4 4 0 0 0 5 2 2 2 5 4 4 4 0 0 0 5 2 2 2 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 0 0 0 5 6 6 6 5 3 3 3 0 0 0 5 6 6 6 5 3 3 3 0 0 0 5 6 6 6 5 3 3 3 5 5 5 5 5 5 5 5 5 5 5 0 0 0 5 0 0 0 5 0 0 0 0 0 0 5 0 0 0 5 0 0 0 0 0 0 5 0 0 0 5 0 0 0	arc_agi	puzzle	en	{"id": "466db12d-6104-4806-a5db-8a9c73b12f34", "question": "You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. \n\n# Examples\nExample 1:\nInput:\n2 0 0 5 0 6 2 5 0 0 4 \n0 4 3 5 4 0 8 5 3 0 6 \n6 0 0 5 3 0 0 5 8 0 2 \n5 5 5 5 5 5 5 5 5 5 5 \n3 8 0 5 6 2 0 5 0 4 8 \n0 0 4 5 0 0 4 5 6 0 0 \n6 2 0 5 3 8 0 5 0 3 2 \n5 5 5 5 5 5 5 5 5 5 5 \n0 3 6 5 0 2 0 5 0 6 0 \n2 0 0 5 4 0 8 5 0 0 8 \n8 0 4 5 6 3 0 5 2 3 4 \nOutput:\n2 2 2 5 0 0 0 5 0 0 0 \n2 2 2 5 0 0 0 5 0 0 0 \n2 2 2 5 0 0 0 5 0 0 0 \n5 5 5 5 5 5 5 5 5 5 5 \n0 0 0 5 4 4 4 5 3 3 3 \n0 0 0 5 4 4 4 5 3 3 3 \n0 0 0 5 4 4 4 5 3 3 3 \n5 5 5 5 5 5 5 5 5 5 5 \n6 6 6 5 0 0 0 5 0 0 0 \n6 6 6 5 0 0 0 5 0 0 0 \n6 6 6 5 0 0 0 5 0 0 0 \n\nExample 2:\nInput:\n2 0 3 5 4 6 0 5 0 6 0 \n0 0 8 5 0 0 2 5 4 0 3 \n4 6 0 5 3 8 0 5 2 0 8 \n5 5 5 5 5 5 5 5 5 5 5 \n4 0 8 5 0 0 2 5 0 6 4 \n0 0 2 5 0 3 0 5 3 0 0 \n3 0 6 5 4 0 6 5 8 0 2 \n5 5 5 5 5 5 5 5 5 5 5 \n3 6 0 5 0 8 4 5 2 0 0 \n0 8 4 5 2 0 0 5 8 0 3 \n2 0 0 5 0 3 6 5 6 4 0 \nOutput:\n0 0 0 5 0 0 0 5 2 2 2 \n0 0 0 5 0 0 0 5 2 2 2 \n0 0 0 5 0 0 0 5 2 2 2 \n5 5 5 5 5 5 5 5 5 5 5 \n0 0 0 5 3 3 3 5 0 0 0 \n0 0 0 5 3 3 3 5 0 0 0 \n0 0 0 5 3 3 3 5 0 0 0 \n5 5 5 5 5 5 5 5 5 5 5 \n4 4 4 5 0 0 0 5 6 6 6 \n4 4 4 5 0 0 0 5 6 6 6 \n4 4 4 5 0 0 0 5 6 6 6 \n\nExample 3:\nInput:\n0 3 0 5 0 6 3 5 0 6 2 \n6 0 4 5 2 8 0 5 0 0 8 \n0 2 8 5 0 4 0 5 3 0 4 \n5 5 5 5 5 5 5 5 5 5 5 \n0 2 0 5 4 0 3 5 3 4 0 \n4 0 8 5 2 0 6 5 0 0 2 \n3 6 0 5 0 8 0 5 8 6 0 \n5 5 5 5 5 5 5 5 5 5 5 \n6 3 0 5 0 3 0 5 0 0 3 \n0 0 2 5 0 6 4 5 2 8 0 \n8 4 0 5 2 0 0 5 4 0 6 \nOutput:\n0 0 0 5 3 3 3 5 0 0 0 \n0 0 0 5 3 3 3 5 0 0 0 \n0 0 0 5 3 3 3 5 0 0 0 \n5 5 5 5 5 5 5 5 5 5 5 \n0 0 0 5 6 6 6 5 4 4 4 \n0 0 0 5 6 6 6 5 4 4 4 \n0 0 0 5 6 6 6 5 4 4 4 \n5 5 5 5 5 5 5 5 5 5 5 \n2 2 2 5 0 0 0 5 0 0 0 \n2 2 2 5 0 0 0 5 0 0 0 \n2 2 2 5 0 0 0 5 0 0 0 \n\nExample 4:\nInput:\n3 8 4 5 4 6 0 5 2 0 8 \n0 0 0 5 8 0 3 5 6 0 3 \n6 2 0 5 0 2 0 5 4 0 0 \n5 5 5 5 5 5 5 5 5 5 5 \n0 4 2 5 8 0 3 5 0 4 0 \n0 8 6 5 0 0 4 5 0 2 6 \n0 3 0 5 2 6 0 5 0 3 0 \n5 5 5 5 5 5 5 5 5 5 5 \n0 6 0 5 6 2 0 5 3 6 0 \n3 0 8 5 0 8 3 5 0 0 4 \n4 2 0 5 0 0 4 5 2 0 8 \nOutput:\n0 0 0 5 4 4 4 5 0 0 0 \n0 0 0 5 4 4 4 5 0 0 0 \n0 0 0 5 4 4 4 5 0 0 0 \n5 5 5 5 5 5 5 5 5 5 5 \n0 0 0 5 2 2 2 5 6 6 6 \n0 0 0 5 2 2 2 5 6 6 6 \n0 0 0 5 2 2 2 5 6 6 6 \n5 5 5 5 5 5 5 5 5 5 5 \n0 0 0 5 3 3 3 5 0 0 0 \n0 0 0 5 3 3 3 5 0 0 0 \n0 0 0 5 3 3 3 5 0 0 0 \n\n# Test Problem:\nInput:\n6 4 0 5 0 3 0 5 0 4 0 \n0 0 3 5 2 8 6 5 8 0 2 \n2 0 8 5 4 0 0 5 6 3 0 \n5 5 5 5 5 5 5 5 5 5 5 \n2 0 0 5 0 3 0 5 3 6 2 \n3 4 6 5 8 4 2 5 0 0 4 \n0 8 0 5 0 0 6 5 8 0 0 \n5 5 5 5 5 5 5 5 5 5 5 \n0 2 4 5 0 6 4 5 0 2 8 \n0 6 3 5 0 0 3 5 4 0 6 \n0 0 0 5 2 0 8 5 3 0 0 \n", "raw": {"train": [{"input": [[2, 0, 0, 5, 0, 6, 2, 5, 0, 0, 4], [0, 4, 3, 5, 4, 0, 8, 5, 3, 0, 6], [6, 0, 0, 5, 3, 0, 0, 5, 8, 0, 2], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 8, 0, 5, 6, 2, 0, 5, 0, 4, 8], [0, 0, 4, 5, 0, 0, 4, 5, 6, 0, 0], [6, 2, 0, 5, 3, 8, 0, 5, 0, 3, 2], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 3, 6, 5, 0, 2, 0, 5, 0, 6, 0], [2, 0, 0, 5, 4, 0, 8, 5, 0, 0, 8], [8, 0, 4, 5, 6, 3, 0, 5, 2, 3, 4]], "output": [[2, 2, 2, 5, 0, 0, 0, 5, 0, 0, 0], [2, 2, 2, 5, 0, 0, 0, 5, 0, 0, 0], [2, 2, 2, 5, 0, 0, 0, 5, 0, 0, 0], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 4, 4, 4, 5, 3, 3, 3], [0, 0, 0, 5, 4, 4, 4, 5, 3, 3, 3], [0, 0, 0, 5, 4, 4, 4, 5, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 5, 0, 0, 0, 5, 0, 0, 0], [6, 6, 6, 5, 0, 0, 0, 5, 0, 0, 0], [6, 6, 6, 5, 0, 0, 0, 5, 0, 0, 0]]}, {"input": [[2, 0, 3, 5, 4, 6, 0, 5, 0, 6, 0], [0, 0, 8, 5, 0, 0, 2, 5, 4, 0, 3], [4, 6, 0, 5, 3, 8, 0, 5, 2, 0, 8], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 0, 8, 5, 0, 0, 2, 5, 0, 6, 4], [0, 0, 2, 5, 0, 3, 0, 5, 3, 0, 0], [3, 0, 6, 5, 4, 0, 6, 5, 8, 0, 2], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 6, 0, 5, 0, 8, 4, 5, 2, 0, 0], [0, 8, 4, 5, 2, 0, 0, 5, 8, 0, 3], [2, 0, 0, 5, 0, 3, 6, 5, 6, 4, 0]], "output": [[0, 0, 0, 5, 0, 0, 0, 5, 2, 2, 2], [0, 0, 0, 5, 0, 0, 0, 5, 2, 2, 2], [0, 0, 0, 5, 0, 0, 0, 5, 2, 2, 2], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 3, 3, 3, 5, 0, 0, 0], [0, 0, 0, 5, 3, 3, 3, 5, 0, 0, 0], [0, 0, 0, 5, 3, 3, 3, 5, 0, 0, 0], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [4, 4, 4, 5, 0, 0, 0, 5, 6, 6, 6], [4, 4, 4, 5, 0, 0, 0, 5, 6, 6, 6], [4, 4, 4, 5, 0, 0, 0, 5, 6, 6, 6]]}, {"input": [[0, 3, 0, 5, 0, 6, 3, 5, 0, 6, 2], [6, 0, 4, 5, 2, 8, 0, 5, 0, 0, 8], [0, 2, 8, 5, 0, 4, 0, 5, 3, 0, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 2, 0, 5, 4, 0, 3, 5, 3, 4, 0], [4, 0, 8, 5, 2, 0, 6, 5, 0, 0, 2], [3, 6, 0, 5, 0, 8, 0, 5, 8, 6, 0], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 3, 0, 5, 0, 3, 0, 5, 0, 0, 3], [0, 0, 2, 5, 0, 6, 4, 5, 2, 8, 0], [8, 4, 0, 5, 2, 0, 0, 5, 4, 0, 6]], "output": [[0, 0, 0, 5, 3, 3, 3, 5, 0, 0, 0], [0, 0, 0, 5, 3, 3, 3, 5, 0, 0, 0], [0, 0, 0, 5, 3, 3, 3, 5, 0, 0, 0], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 6, 6, 6, 5, 4, 4, 4], [0, 0, 0, 5, 6, 6, 6, 5, 4, 4, 4], [0, 0, 0, 5, 6, 6, 6, 5, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 2, 2, 5, 0, 0, 0, 5, 0, 0, 0], [2, 2, 2, 5, 0, 0, 0, 5, 0, 0, 0], [2, 2, 2, 5, 0, 0, 0, 5, 0, 0, 0]]}, {"input": [[3, 8, 4, 5, 4, 6, 0, 5, 2, 0, 8], [0, 0, 0, 5, 8, 0, 3, 5, 6, 0, 3], [6, 2, 0, 5, 0, 2, 0, 5, 4, 0, 0], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 4, 2, 5, 8, 0, 3, 5, 0, 4, 0], [0, 8, 6, 5, 0, 0, 4, 5, 0, 2, 6], [0, 3, 0, 5, 2, 6, 0, 5, 0, 3, 0], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 6, 0, 5, 6, 2, 0, 5, 3, 6, 0], [3, 0, 8, 5, 0, 8, 3, 5, 0, 0, 4], [4, 2, 0, 5, 0, 0, 4, 5, 2, 0, 8]], "output": [[0, 0, 0, 5, 4, 4, 4, 5, 0, 0, 0], [0, 0, 0, 5, 4, 4, 4, 5, 0, 0, 0], [0, 0, 0, 5, 4, 4, 4, 5, 0, 0, 0], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 2, 2, 2, 5, 6, 6, 6], [0, 0, 0, 5, 2, 2, 2, 5, 6, 6, 6], [0, 0, 0, 5, 2, 2, 2, 5, 6, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 3, 3, 3, 5, 0, 0, 0], [0, 0, 0, 5, 3, 3, 3, 5, 0, 0, 0], [0, 0, 0, 5, 3, 3, 3, 5, 0, 0, 0]]}], "test": [{"input": [[6, 4, 0, 5, 0, 3, 0, 5, 0, 4, 0], [0, 0, 3, 5, 2, 8, 6, 5, 8, 0, 2], [2, 0, 8, 5, 4, 0, 0, 5, 6, 3, 0], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 0, 0, 5, 0, 3, 0, 5, 3, 6, 2], [3, 4, 6, 5, 8, 4, 2, 5, 0, 0, 4], [0, 8, 0, 5, 0, 0, 6, 5, 8, 0, 0], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 2, 4, 5, 0, 6, 4, 5, 0, 2, 8], [0, 6, 3, 5, 0, 0, 3, 5, 4, 0, 6], [0, 0, 0, 5, 2, 0, 8, 5, 3, 0, 0]], "output": [[0, 0, 0, 5, 2, 2, 2, 5, 4, 4, 4], [0, 0, 0, 5, 2, 2, 2, 5, 4, 4, 4], [0, 0, 0, 5, 2, 2, 2, 5, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 6, 6, 6, 5, 3, 3, 3], [0, 0, 0, 5, 6, 6, 6, 5, 3, 3, 3], [0, 0, 0, 5, 6, 6, 6, 5, 3, 3, 3], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0]]}]}, "answer": "0 0 0 5 2 2 2 5 4 4 4 \n0 0 0 5 2 2 2 5 4 4 4 \n0 0 0 5 2 2 2 5 4 4 4 \n5 5 5 5 5 5 5 5 5 5 5 \n0 0 0 5 6 6 6 5 3 3 3 \n0 0 0 5 6 6 6 5 3 3 3 \n0 0 0 5 6 6 6 5 3 3 3 \n5 5 5 5 5 5 5 5 5 5 5 \n0 0 0 5 0 0 0 5 0 0 0 \n0 0 0 5 0 0 0 5 0 0 0 \n0 0 0 5 0 0 0 5 0 0 0 \n", "split": "train", "language": "en"}
You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. Please output your answer within a code block (```), formatted as a grid of numbers. # Examples Example 1: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 7 2 7 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 7 2 7 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 2 0 7 0 2 0 0 0 0 0 0 0 0 2 7 2 0 0 0 0 0 0 0 0 7 7 2 7 7 0 0 0 0 0 0 0 0 2 7 2 0 0 0 0 0 0 0 0 2 0 7 0 2 0 2 0 7 0 2 0 0 0 0 0 0 0 0 2 7 2 0 0 0 0 0 0 0 0 7 7 2 7 7 0 0 0 0 0 0 0 0 2 7 2 0 0 0 0 0 0 0 0 2 0 7 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Example 2: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 6 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 6 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 8 0 6 0 0 0 0 0 0 0 0 6 8 6 0 0 0 0 0 0 0 0 8 8 6 8 8 0 0 0 0 0 0 0 0 6 8 6 0 0 0 0 0 0 0 0 6 0 8 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 8 0 6 0 0 0 0 0 0 0 0 6 8 6 0 0 0 0 0 0 0 0 8 8 6 8 8 0 0 0 0 0 0 0 0 6 8 6 0 0 0 0 0 0 0 0 6 0 8 0 6 0 # Test Problem: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 3 4 3 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 3 4 3 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0	0 0 0 0 0 0 4 0 3 0 4 0 0 0 0 0 0 0 0 4 3 4 0 0 0 0 0 0 0 0 3 3 4 3 3 0 0 0 0 0 0 0 0 4 3 4 0 0 0 0 0 0 0 0 4 0 3 0 4 0 4 0 3 0 4 0 0 0 0 0 0 0 0 4 3 4 0 0 0 0 0 0 0 0 3 3 4 3 3 0 0 0 0 0 0 0 0 4 3 4 0 0 0 0 0 0 0 0 4 0 3 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0	arc_agi	puzzle	en	{"id": "b92585c2-8e74-4a3c-b788-a511ac1727a9", "question": "You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. \n\n# Examples\nExample 1:\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 7 0 0 0 0 0 0 0 0 0 \n0 7 2 7 0 0 0 0 0 0 0 0 \n0 0 7 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 7 0 0 0 \n0 0 0 0 0 0 0 7 2 7 0 0 \n0 0 0 0 0 0 0 0 7 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 \nOutput:\n0 0 0 0 0 0 0 0 0 0 0 0 \n2 0 7 0 2 0 0 0 0 0 0 0 \n0 2 7 2 0 0 0 0 0 0 0 0 \n7 7 2 7 7 0 0 0 0 0 0 0 \n0 2 7 2 0 0 0 0 0 0 0 0 \n2 0 7 0 2 0 2 0 7 0 2 0 \n0 0 0 0 0 0 0 2 7 2 0 0 \n0 0 0 0 0 0 7 7 2 7 7 0 \n0 0 0 0 0 0 0 2 7 2 0 0 \n0 0 0 0 0 0 2 0 7 0 2 0 \n0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 \n\nExample 2:\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 8 0 0 0 0 0 0 0 0 \n0 0 8 6 8 0 0 0 0 0 0 0 \n0 0 0 8 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 8 0 0 0 \n0 0 0 0 0 0 0 8 6 8 0 0 \n0 0 0 0 0 0 0 0 8 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 \nOutput:\n0 0 0 0 0 0 0 0 0 0 0 0 \n0 6 0 8 0 6 0 0 0 0 0 0 \n0 0 6 8 6 0 0 0 0 0 0 0 \n0 8 8 6 8 8 0 0 0 0 0 0 \n0 0 6 8 6 0 0 0 0 0 0 0 \n0 6 0 8 0 6 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 6 0 8 0 6 0 \n0 0 0 0 0 0 0 6 8 6 0 0 \n0 0 0 0 0 0 8 8 6 8 8 0 \n0 0 0 0 0 0 0 6 8 6 0 0 \n0 0 0 0 0 0 6 0 8 0 6 0 \n\n# Test Problem:\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 3 0 0 0 \n0 0 0 0 0 0 0 3 4 3 0 0 \n0 0 0 0 0 0 0 0 3 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 3 0 0 0 0 0 0 0 0 0 \n0 3 4 3 0 0 0 0 0 0 0 0 \n0 0 3 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 \n", "raw": {"train": [{"input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 2, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 2, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 7, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0], [0, 2, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 7, 0, 2, 0, 2, 0, 7, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 7, 2, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 2, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 2, 7, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 7, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}, {"input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 6, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 6, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 8, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 6, 8, 6, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 6, 8, 8, 0, 0, 0, 0, 0, 0], [0, 0, 6, 8, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 8, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 8, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 8, 6, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8, 6, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 6, 8, 6, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 8, 0, 6, 0]]}], "test": [{"input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 4, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 4, 0, 3, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 4, 3, 4, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 4, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 4, 3, 4, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 3, 0, 4, 0], [4, 0, 3, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 4, 3, 4, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 4, 3, 3, 0, 0, 0, 0, 0, 0, 0], [0, 4, 3, 4, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 3, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}]}, "answer": "0 0 0 0 0 0 4 0 3 0 4 0 \n0 0 0 0 0 0 0 4 3 4 0 0 \n0 0 0 0 0 0 3 3 4 3 3 0 \n0 0 0 0 0 0 0 4 3 4 0 0 \n0 0 0 0 0 0 4 0 3 0 4 0 \n4 0 3 0 4 0 0 0 0 0 0 0 \n0 4 3 4 0 0 0 0 0 0 0 0 \n3 3 4 3 3 0 0 0 0 0 0 0 \n0 4 3 4 0 0 0 0 0 0 0 0 \n4 0 3 0 4 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 \n", "split": "train", "language": "en"}
You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. Please output your answer within a code block (```), formatted as a grid of numbers. # Examples Example 1: Input: 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 0 0 0 0 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 0 0 0 0 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 0 0 0 0 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 0 0 0 0 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 0 0 0 0 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 0 0 0 0 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 0 0 0 0 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 0 0 0 0 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 0 0 0 0 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 Example 2: Input: 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 1 0 0 3 0 0 1 0 0 3 0 0 1 0 0 3 0 0 0 0 0 0 0 1 0 0 3 0 0 1 0 0 3 0 0 1 0 0 3 0 0 0 0 0 0 0 1 0 0 3 0 0 1 0 0 3 0 0 1 0 0 3 0 0 0 0 0 0 0 1 0 0 3 0 0 1 0 0 3 0 0 1 0 0 3 0 0 0 0 0 0 0 1 0 0 3 0 0 1 0 0 3 0 0 1 0 0 3 0 0 0 0 0 0 0 1 0 0 3 0 0 1 0 0 3 0 0 1 0 0 3 0 0 0 0 0 0 0 1 0 0 3 0 0 1 0 0 3 0 0 1 0 0 3 0 0 Example 3: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 Example 4: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 # Test Problem: Input: 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0	0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0	arc_agi	puzzle	en	{"id": "03d24472-82e8-4677-ae8a-5421e8025f52", "question": "You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. \n\n# Examples\nExample 1:\nInput:\n0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \nOutput:\n0 0 0 0 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 \n0 0 0 0 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 \n0 0 0 0 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 \n0 0 0 0 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 \n0 0 0 0 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 \n0 0 0 0 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 \n0 0 0 0 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 \n0 0 0 0 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 \n0 0 0 0 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 \n0 0 0 0 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 2 0 8 0 \n\nExample 2:\nInput:\n0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \nOutput:\n0 0 0 0 0 1 0 0 3 0 0 1 0 0 3 0 0 1 0 0 3 0 0 \n0 0 0 0 0 1 0 0 3 0 0 1 0 0 3 0 0 1 0 0 3 0 0 \n0 0 0 0 0 1 0 0 3 0 0 1 0 0 3 0 0 1 0 0 3 0 0 \n0 0 0 0 0 1 0 0 3 0 0 1 0 0 3 0 0 1 0 0 3 0 0 \n0 0 0 0 0 1 0 0 3 0 0 1 0 0 3 0 0 1 0 0 3 0 0 \n0 0 0 0 0 1 0 0 3 0 0 1 0 0 3 0 0 1 0 0 3 0 0 \n0 0 0 0 0 1 0 0 3 0 0 1 0 0 3 0 0 1 0 0 3 0 0 \n\nExample 3:\nInput:\n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n2 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 3 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \nOutput:\n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n2 2 2 2 2 2 2 2 2 \n0 0 0 0 0 0 0 0 0 \n3 3 3 3 3 3 3 3 3 \n0 0 0 0 0 0 0 0 0 \n2 2 2 2 2 2 2 2 2 \n0 0 0 0 0 0 0 0 0 \n3 3 3 3 3 3 3 3 3 \n0 0 0 0 0 0 0 0 0 \n2 2 2 2 2 2 2 2 2 \n0 0 0 0 0 0 0 0 0 \n3 3 3 3 3 3 3 3 3 \n0 0 0 0 0 0 0 0 0 \n2 2 2 2 2 2 2 2 2 \n0 0 0 0 0 0 0 0 0 \n3 3 3 3 3 3 3 3 3 \n0 0 0 0 0 0 0 0 0 \n2 2 2 2 2 2 2 2 2 \n\nExample 4:\nInput:\n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n4 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n1 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \nOutput:\n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n4 4 4 4 4 4 4 4 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n1 1 1 1 1 1 1 1 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n4 4 4 4 4 4 4 4 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n1 1 1 1 1 1 1 1 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 \n4 4 4 4 4 4 4 4 \n\n# Test Problem:\nInput:\n0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n", "raw": {"train": [{"input": [[0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0, 2, 0, 8, 0]]}, {"input": [[0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 1, 0, 0, 3, 0, 0, 1, 0, 0, 3, 0, 0, 1, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 3, 0, 0, 1, 0, 0, 3, 0, 0, 1, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 3, 0, 0, 1, 0, 0, 3, 0, 0, 1, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 3, 0, 0, 1, 0, 0, 3, 0, 0, 1, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 3, 0, 0, 1, 0, 0, 3, 0, 0, 1, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 3, 0, 0, 1, 0, 0, 3, 0, 0, 1, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 3, 0, 0, 1, 0, 0, 3, 0, 0, 1, 0, 0, 3, 0, 0]]}, {"input": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2]]}, {"input": [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4]]}], "test": [{"input": [[0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0]]}]}, "answer": "0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 \n0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 \n0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 \n0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 \n0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 \n0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 \n0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 \n0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 \n0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 \n0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 \n0 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 0 0 0 4 0 0 0 0 3 0 \n", "split": "train", "language": "en"}
You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. Please output your answer within a code block (```), formatted as a grid of numbers. # Examples Example 1: Input: 8 8 8 8 8 0 8 8 8 8 0 0 0 0 8 8 8 8 0 8 8 8 0 0 8 0 8 0 8 8 8 0 0 0 0 8 8 8 0 0 0 8 8 8 8 0 0 0 8 8 8 8 0 0 0 0 8 8 0 8 8 8 8 8 8 0 8 8 8 8 0 8 8 0 0 0 0 8 8 0 0 0 8 8 8 8 8 8 0 8 8 0 8 8 0 0 0 0 8 8 8 0 8 8 8 0 0 0 8 8 0 8 0 0 8 0 0 0 0 8 0 0 0 8 0 0 8 8 8 8 0 0 8 0 8 0 0 0 0 0 8 8 8 0 8 8 8 8 0 0 8 0 0 8 8 0 8 0 0 0 0 8 0 8 8 8 8 8 8 8 8 8 8 8 0 8 0 0 0 0 0 0 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 0 0 0 0 8 8 0 8 8 0 8 2 0 2 2 2 0 0 2 2 2 0 0 0 0 8 8 8 8 0 8 0 0 2 2 2 2 2 2 0 2 0 0 0 0 0 8 8 8 0 0 0 8 2 2 2 2 0 2 2 2 2 2 0 0 0 0 8 8 0 8 8 8 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 8 8 8 8 8 0 0 2 2 2 2 2 0 2 0 2 2 0 0 0 0 8 0 8 0 8 8 8 2 2 0 2 2 0 0 0 0 0 0 0 0 0 8 8 0 8 0 0 8 0 2 2 0 0 2 2 0 0 2 0 0 0 0 8 0 0 0 8 8 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 8 8 0 0 8 8 2 0 2 2 0 2 2 2 2 2 0 0 0 0 8 8 8 0 8 8 8 Output: 0 2 2 2 0 0 2 2 2 2 2 0 2 2 2 0 0 2 2 2 0 2 2 2 2 2 2 0 2 0 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 0 2 0 0 2 2 2 2 2 0 2 0 2 2 2 2 0 2 2 0 0 0 0 0 0 2 2 0 0 2 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 2 2 2 2 2 Example 2: Input: 2 0 2 2 2 2 0 0 0 0 2 0 2 2 2 2 0 0 2 2 2 2 2 0 2 2 0 0 0 0 2 2 2 2 2 0 0 0 0 0 2 2 0 2 0 0 0 0 2 2 2 0 2 2 2 2 2 2 0 2 0 2 2 0 0 0 0 0 2 2 2 2 2 2 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 2 2 0 2 2 2 2 2 2 0 2 0 2 0 0 0 2 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 0 0 0 0 3 3 3 3 3 0 3 3 0 2 2 0 0 2 2 0 0 0 3 3 3 0 0 0 3 3 0 0 2 2 0 0 2 0 0 0 0 3 3 3 0 3 0 3 0 0 2 2 2 0 0 2 2 0 0 0 3 3 0 0 0 3 3 3 3 2 0 0 2 2 2 0 0 0 0 3 0 0 0 3 0 3 0 3 2 0 2 0 0 0 2 0 0 0 0 3 3 0 3 3 3 0 3 0 2 2 0 2 2 0 0 0 0 0 3 3 0 0 3 0 3 0 Output: 0 3 3 3 3 3 0 3 3 3 3 3 0 0 0 3 3 0 3 3 3 0 3 0 3 0 0 3 3 0 0 0 3 3 3 3 3 0 0 0 3 0 3 0 3 0 3 3 0 3 3 3 0 3 0 3 3 0 0 3 0 3 0 Example 3: Input: 0 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 1 1 0 1 1 1 1 0 0 1 1 0 0 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0 0 0 1 1 0 0 0 1 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 1 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 4 0 0 1 0 0 1 1 1 1 1 1 4 4 4 4 0 4 0 0 1 0 1 1 1 1 1 1 0 4 0 4 0 0 4 0 0 0 1 0 0 1 1 1 1 1 0 4 4 4 4 0 0 0 1 1 0 0 1 0 1 0 1 4 4 4 0 4 4 0 0 1 1 1 1 1 1 1 1 0 0 4 4 4 4 0 0 0 0 1 0 0 0 0 1 1 1 0 4 4 4 0 4 0 0 0 1 0 1 0 1 1 1 0 0 4 0 0 0 0 0 0 1 0 1 1 1 0 1 0 1 4 4 0 4 0 4 0 0 1 1 1 0 0 1 1 1 0 Output: 4 0 0 4 0 4 4 4 4 4 0 4 4 0 4 0 0 4 0 4 4 4 4 0 4 4 4 0 4 4 0 4 4 4 4 0 0 4 4 4 0 4 0 4 0 0 0 0 4 4 0 4 0 4 # Test Problem: Input: 1 1 1 1 0 1 0 0 3 0 3 3 3 3 3 3 0 1 0 1 0 1 1 0 0 0 3 0 3 3 3 0 0 0 1 1 0 1 1 0 0 0 0 0 0 3 3 3 3 0 0 0 0 0 1 1 1 0 0 3 3 0 3 3 0 3 0 0 1 1 1 1 1 1 0 0 0 3 0 3 3 3 0 3 3 1 1 1 1 1 1 0 0 3 3 0 0 0 3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 3 0 0 3 3 3 0 3 0 3 0 3 0 3 3 0 0 3 0 0 0 3 0 3 3 3 0 0 0 3 3 3 3 3 0 0 0 3 0 0 0 3 0 0 0 3 3 0 3 0 3 0 0 0 0 3 3 3 3 3 3 0 3 0 3 3 0 0 0 0 0 0 0 3 3 3 0 3 3 0	1 1 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1	arc_agi	puzzle	en	{"id": "0f611697-4d24-4b54-8b39-4c57c1cf9700", "question": "You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. \n\n# Examples\nExample 1:\nInput:\n8 8 8 8 8 0 8 8 8 8 0 0 0 0 8 8 8 8 0 8 8 \n8 0 0 8 0 8 0 8 8 8 0 0 0 0 8 8 8 0 0 0 8 \n8 8 8 0 0 0 8 8 8 8 0 0 0 0 8 8 0 8 8 8 8 \n8 8 0 8 8 8 8 0 8 8 0 0 0 0 8 8 0 0 0 8 8 \n8 8 8 8 0 8 8 0 8 8 0 0 0 0 8 8 8 0 8 8 8 \n0 0 0 8 8 0 8 0 0 8 0 0 0 0 8 0 0 0 8 0 0 \n8 8 8 8 0 0 8 0 8 0 0 0 0 0 8 8 8 0 8 8 8 \n8 0 0 8 0 0 8 8 0 8 0 0 0 0 8 0 8 8 8 8 8 \n8 8 8 8 8 8 0 8 0 0 0 0 0 0 8 8 8 8 8 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 2 2 2 0 0 2 2 2 2 0 0 0 0 8 8 0 8 8 0 8 \n2 0 2 2 2 0 0 2 2 2 0 0 0 0 8 8 8 8 0 8 0 \n0 2 2 2 2 2 2 0 2 0 0 0 0 0 8 8 8 0 0 0 8 \n2 2 2 2 0 2 2 2 2 2 0 0 0 0 8 8 0 8 8 8 0 \n2 2 2 2 2 2 0 2 0 0 0 0 0 0 8 8 8 8 8 0 0 \n2 2 2 2 2 0 2 0 2 2 0 0 0 0 8 0 8 0 8 8 8 \n2 2 0 2 2 0 0 0 0 0 0 0 0 0 8 8 0 8 0 0 8 \n0 2 2 0 0 2 2 0 0 2 0 0 0 0 8 0 0 0 8 8 0 \n2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 8 8 0 0 8 8 \n2 0 2 2 0 2 2 2 2 2 0 0 0 0 8 8 8 0 8 8 8 \nOutput:\n0 2 2 2 0 0 2 2 2 2 \n2 0 2 2 2 0 0 2 2 2 \n0 2 2 2 2 2 2 0 2 0 \n2 2 2 2 0 2 2 2 2 2 \n2 2 2 2 2 2 0 2 0 0 \n2 2 2 2 2 0 2 0 2 2 \n2 2 0 2 2 0 0 0 0 0 \n0 2 2 0 0 2 2 0 0 2 \n2 2 2 2 2 2 2 2 2 2 \n2 0 2 2 0 2 2 2 2 2 \n\nExample 2:\nInput:\n2 0 2 2 2 2 0 0 0 0 2 0 2 2 2 2 0 0 2 \n2 2 2 2 0 2 2 0 0 0 0 2 2 2 2 2 0 0 0 \n0 0 2 2 0 2 0 0 0 0 2 2 2 0 2 2 2 2 2 \n2 0 2 0 2 2 0 0 0 0 0 2 2 2 2 2 2 0 0 \n0 2 0 2 2 2 2 0 0 0 0 0 0 2 2 0 2 2 2 \n2 2 2 0 2 0 2 0 0 0 2 0 2 2 2 2 0 2 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2 0 2 0 0 0 2 0 0 0 0 3 3 3 3 3 0 3 3 \n0 2 2 0 0 2 2 0 0 0 3 3 3 0 0 0 3 3 0 \n0 2 2 0 0 2 0 0 0 0 3 3 3 0 3 0 3 0 0 \n2 2 2 0 0 2 2 0 0 0 3 3 0 0 0 3 3 3 3 \n2 0 0 2 2 2 0 0 0 0 3 0 0 0 3 0 3 0 3 \n2 0 2 0 0 0 2 0 0 0 0 3 3 0 3 3 3 0 3 \n0 2 2 0 2 2 0 0 0 0 0 3 3 0 0 3 0 3 0 \nOutput:\n0 3 3 3 3 3 0 3 3 \n3 3 3 0 0 0 3 3 0 \n3 3 3 0 3 0 3 0 0 \n3 3 0 0 0 3 3 3 3 \n3 0 0 0 3 0 3 0 3 \n0 3 3 0 3 3 3 0 3 \n0 3 3 0 0 3 0 3 0 \n\nExample 3:\nInput:\n0 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 \n1 0 1 0 0 0 0 0 1 1 1 1 1 1 0 1 1 \n1 1 0 1 1 0 0 0 1 1 1 1 1 1 0 1 1 \n1 1 0 0 1 1 0 0 1 1 0 1 1 1 1 1 1 \n0 1 1 1 0 0 0 0 1 1 0 0 0 1 1 1 0 \n1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 \n0 0 0 1 1 0 0 0 1 1 1 0 0 1 0 0 1 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n4 0 0 4 0 4 0 0 1 0 0 1 1 1 1 1 1 \n4 4 4 4 0 4 0 0 1 0 1 1 1 1 1 1 0 \n4 0 4 0 0 4 0 0 0 1 0 0 1 1 1 1 1 \n0 4 4 4 4 0 0 0 1 1 0 0 1 0 1 0 1 \n4 4 4 0 4 4 0 0 1 1 1 1 1 1 1 1 0 \n0 4 4 4 4 0 0 0 0 1 0 0 0 0 1 1 1 \n0 4 4 4 0 4 0 0 0 1 0 1 0 1 1 1 0 \n0 4 0 0 0 0 0 0 1 0 1 1 1 0 1 0 1 \n4 4 0 4 0 4 0 0 1 1 1 0 0 1 1 1 0 \nOutput:\n4 0 0 4 0 4 \n4 4 4 4 0 4 \n4 0 4 0 0 4 \n0 4 4 4 4 0 \n4 4 4 0 4 4 \n0 4 4 4 4 0 \n0 4 4 4 0 4 \n0 4 0 0 0 0 \n4 4 0 4 0 4 \n\n# Test Problem:\nInput:\n1 1 1 1 0 1 0 0 3 0 3 3 3 3 3 3 0 \n1 0 1 0 1 1 0 0 0 3 0 3 3 3 0 0 0 \n1 1 0 1 1 0 0 0 0 0 0 3 3 3 3 0 0 \n0 0 0 1 1 1 0 0 3 3 0 3 3 0 3 0 0 \n1 1 1 1 1 1 0 0 0 3 0 3 3 3 0 3 3 \n1 1 1 1 1 1 0 0 3 3 0 0 0 3 0 0 3 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n3 0 0 0 0 3 0 0 3 3 3 0 3 0 3 0 3 \n0 3 3 0 0 3 0 0 0 3 0 3 3 3 0 0 0 \n3 3 3 3 3 0 0 0 3 0 0 0 3 0 0 0 3 \n3 0 3 0 3 0 0 0 0 3 3 3 3 3 3 0 3 \n0 3 3 0 0 0 0 0 0 0 3 3 3 0 3 3 0 \n", "raw": {"train": [{"input": [[8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8], [8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8], [8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 8, 8], [8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8], [8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8], [0, 0, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0], [8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8], [8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8], [2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0], [0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8], [2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 8, 8, 0, 8, 8, 8, 0], [2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0], [2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8], [2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 8], [0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8, 8], [2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8]], "output": [[0, 2, 2, 2, 0, 0, 2, 2, 2, 2], [2, 0, 2, 2, 2, 0, 0, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 0, 2, 0], [2, 2, 2, 2, 0, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 0, 2, 0, 0], [2, 2, 2, 2, 2, 0, 2, 0, 2, 2], [2, 2, 0, 2, 2, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 2, 2, 0, 0, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 0, 2, 2, 2, 2, 2]]}, {"input": [[2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2], [2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0], [0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2], [2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2], [2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3], [0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 0], [0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0, 0], [2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 3, 3], [2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0, 3], [2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3], [0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 0, 3, 0]], "output": [[0, 3, 3, 3, 3, 3, 0, 3, 3], [3, 3, 3, 0, 0, 0, 3, 3, 0], [3, 3, 3, 0, 3, 0, 3, 0, 0], [3, 3, 0, 0, 0, 3, 3, 3, 3], [3, 0, 0, 0, 3, 0, 3, 0, 3], [0, 3, 3, 0, 3, 3, 3, 0, 3], [0, 3, 3, 0, 0, 3, 0, 3, 0]]}, {"input": [[0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1], [0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 4, 0, 4, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1], [4, 4, 4, 4, 0, 4, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0], [4, 0, 4, 0, 0, 4, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1], [0, 4, 4, 4, 4, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1], [4, 4, 4, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 4, 4, 4, 4, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1], [0, 4, 4, 4, 0, 4, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0], [0, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1], [4, 4, 0, 4, 0, 4, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0]], "output": [[4, 0, 0, 4, 0, 4], [4, 4, 4, 4, 0, 4], [4, 0, 4, 0, 0, 4], [0, 4, 4, 4, 4, 0], [4, 4, 4, 0, 4, 4], [0, 4, 4, 4, 4, 0], [0, 4, 4, 4, 0, 4], [0, 4, 0, 0, 0, 0], [4, 4, 0, 4, 0, 4]]}], "test": [{"input": [[1, 1, 1, 1, 0, 1, 0, 0, 3, 0, 3, 3, 3, 3, 3, 3, 0], [1, 0, 1, 0, 1, 1, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 0], [1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0], [1, 1, 1, 1, 1, 1, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3, 3], [1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3], [0, 3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 0], [3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3], [3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 3], [0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 3, 3, 0]], "output": [[1, 1, 1, 1, 0, 1], [1, 0, 1, 0, 1, 1], [1, 1, 0, 1, 1, 0], [0, 0, 0, 1, 1, 1], [1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1]]}]}, "answer": "1 1 1 1 0 1 \n1 0 1 0 1 1 \n1 1 0 1 1 0 \n0 0 0 1 1 1 \n1 1 1 1 1 1 \n1 1 1 1 1 1 \n", "split": "train", "language": "en"}
You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. Please output your answer within a code block (```), formatted as a grid of numbers. # Examples Example 1: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 7 1 7 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 Example 2: Input: 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 8 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 7 0 0 0 2 0 0 0 7 1 7 0 4 0 4 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 7 0 0 4 0 4 0 0 7 1 7 0 0 2 0 0 0 0 7 0 0 4 0 4 0 0 0 0 0 0 Example 3: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 0 0 7 0 0 0 0 0 0 0 7 1 7 0 0 0 0 0 0 0 7 0 0 0 0 0 # Test Problem: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0	0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 0 0 0 4 0 4 0 7 1 7 0 0 0 2 0 0 0 7 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 4 0 4 0 6 0 0 0 0 0 2 0 0 0 0 0 0 0 4 0 4	arc_agi	puzzle	en	{"id": "5d4ebbfd-fe58-4dc9-8b7c-8d12a45b2f99", "question": "You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. \n\n# Examples\nExample 1:\nInput:\n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 2 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 1 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \nOutput:\n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 4 0 4 0 0 0 0 0 \n0 0 2 0 0 0 0 0 0 \n0 4 0 4 0 0 0 0 0 \n0 0 0 0 0 0 7 0 0 \n0 0 0 0 0 7 1 7 0 \n0 0 0 0 0 0 7 0 0 \n0 0 0 0 0 0 0 0 0 \n\nExample 2:\nInput:\n0 0 0 8 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 2 0 0 \n0 0 1 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 1 0 0 \n0 2 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \nOutput:\n0 0 0 8 0 0 0 0 0 \n0 0 0 0 0 4 0 4 0 \n0 0 7 0 0 0 2 0 0 \n0 7 1 7 0 4 0 4 0 \n0 0 7 0 0 0 0 0 0 \n0 0 0 0 0 0 7 0 0 \n4 0 4 0 0 7 1 7 0 \n0 2 0 0 0 0 7 0 0 \n4 0 4 0 0 0 0 0 0 \n\nExample 3:\nInput:\n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 2 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 6 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 1 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \nOutput:\n0 0 0 0 0 0 0 0 0 \n0 4 0 4 0 0 0 0 0 \n0 0 2 0 0 0 0 0 0 \n0 4 0 4 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 6 0 0 \n0 0 0 7 0 0 0 0 0 \n0 0 7 1 7 0 0 0 0 \n0 0 0 7 0 0 0 0 0 \n\n# Test Problem:\nInput:\n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 1 0 0 \n0 0 2 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 8 0 0 0 \n0 0 0 0 0 0 0 0 0 \n0 6 0 0 0 0 0 2 0 \n0 0 0 0 0 0 0 0 0 \n", "raw": {"train": [{"input": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 4, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 4, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 7, 1, 7, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]]}, {"input": [[0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 4, 0], [0, 0, 7, 0, 0, 0, 2, 0, 0], [0, 7, 1, 7, 0, 4, 0, 4, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0], [4, 0, 4, 0, 0, 7, 1, 7, 0], [0, 2, 0, 0, 0, 0, 7, 0, 0], [4, 0, 4, 0, 0, 0, 0, 0, 0]]}, {"input": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 4, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 4, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 7, 1, 7, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0]]}], "test": [{"input": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 4, 0, 4, 0, 7, 1, 7, 0], [0, 0, 2, 0, 0, 0, 7, 0, 0], [0, 4, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4], [0, 6, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4]]}]}, "answer": "0 0 0 0 0 0 0 0 0 \n0 0 0 0 0 0 7 0 0 \n0 4 0 4 0 7 1 7 0 \n0 0 2 0 0 0 7 0 0 \n0 4 0 4 0 0 0 0 0 \n0 0 0 0 0 8 0 0 0 \n0 0 0 0 0 0 4 0 4 \n0 6 0 0 0 0 0 2 0 \n0 0 0 0 0 0 4 0 4 \n", "split": "train", "language": "en"}
You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. Please output your answer within a code block (```), formatted as a grid of numbers. # Examples Example 1: Input: 3 1 2 3 1 2 3 1 2 Output: 4 5 6 4 5 6 4 5 6 Example 2: Input: 2 3 8 2 3 8 2 3 8 Output: 6 4 9 6 4 9 6 4 9 Example 3: Input: 5 8 6 5 8 6 5 8 6 Output: 1 9 2 1 9 2 1 9 2 Example 4: Input: 9 4 2 9 4 2 9 4 2 Output: 8 3 6 8 3 6 8 3 6 # Test Problem: Input: 8 1 3 8 1 3 8 1 3	9 5 4 9 5 4 9 5 4	arc_agi	puzzle	en	{"id": "e5b8a1fa-9d4c-4181-8d04-86ad60cc2a7b", "question": "You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectangular matrix of integers between 0 and 9 (inclusive). Each number corresponds to a color. 0 is black. Your task is to determine the transformation rule from examples and find out the answer, involving determining the size of the output grid for the test and correctly filling each cell of the grid with the appropriate color or number. The transformation only needs to be unambiguous and applicable to the example inputs and the test input. It doesn't need to work for all possible inputs. Observe the examples carefully, imagine the grid visually, and try to find the pattern. \n\n# Examples\nExample 1:\nInput:\n3 1 2 \n3 1 2 \n3 1 2 \nOutput:\n4 5 6 \n4 5 6 \n4 5 6 \n\nExample 2:\nInput:\n2 3 8 \n2 3 8 \n2 3 8 \nOutput:\n6 4 9 \n6 4 9 \n6 4 9 \n\nExample 3:\nInput:\n5 8 6 \n5 8 6 \n5 8 6 \nOutput:\n1 9 2 \n1 9 2 \n1 9 2 \n\nExample 4:\nInput:\n9 4 2 \n9 4 2 \n9 4 2 \nOutput:\n8 3 6 \n8 3 6 \n8 3 6 \n\n# Test Problem:\nInput:\n8 1 3 \n8 1 3 \n8 1 3 \n", "raw": {"train": [{"input": [[3, 1, 2], [3, 1, 2], [3, 1, 2]], "output": [[4, 5, 6], [4, 5, 6], [4, 5, 6]]}, {"input": [[2, 3, 8], [2, 3, 8], [2, 3, 8]], "output": [[6, 4, 9], [6, 4, 9], [6, 4, 9]]}, {"input": [[5, 8, 6], [5, 8, 6], [5, 8, 6]], "output": [[1, 9, 2], [1, 9, 2], [1, 9, 2]]}, {"input": [[9, 4, 2], [9, 4, 2], [9, 4, 2]], "output": [[8, 3, 6], [8, 3, 6], [8, 3, 6]]}], "test": [{"input": [[8, 1, 3], [8, 1, 3], [8, 1, 3]], "output": [[9, 5, 4], [9, 5, 4], [9, 5, 4]]}]}, "answer": "9 5 4 \n9 5 4 \n9 5 4 \n", "split": "train", "language": "en"}

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Resources for the Enigmata Project: https://seed-enigmata.github.io. • 5 items • Updated Aug 13 • 3