datasource file: /Users/neoneye/git/simon_arc_lab/run_tasks_result/20241222_033847_task_to_prompt_o3_format/task_to_prompt.jsonl
datasource row: 501
groupname: arcagi
dataset_id: ARC-AGI
task_id: 27a28665
test_index: 2
max_prompt_length: 2000
max_response_length: 1000

LLM:
{"system_prompt": null, "pydantic_program_mode": "default", "base_url": "http://localhost:11434", "model": "llama3.1:latest", "temperature": 0.0, "context_window": 3900, "request_timeout": 120.0, "prompt_key": "prompt", "json_mode": false, "additional_kwargs": {}, "is_function_calling_model": true, "keep_alive": null, "class_name": "Ollama_llm"}

SYSTEM PROMPT:
You are an expert at solving ARC (Abstraction & reasoning corpus) puzzles

---

PROMPT:
Find the common rule that maps an input grid to an output grid, given the examples below.

Example 1:

Input:
5 5 0
5 0 5
0 5 0
Output:
1

Example 2:

Input:
8 0 8
0 8 0
8 0 8
Output:
2

Example 3:

Input:
5 0 5
0 5 0
5 0 5
Output:
2

Example 4:

Input:
0 1 1
0 1 1
1 0 0
Output:
3

Example 5:

Input:
0 8 8
0 8 8
8 0 0
Output:
3

Example 6:

Input:
4 4 0
4 0 4
0 4 0
Output:
1

Example 7:

Input:
0 5 0
5 5 5
0 5 0
Output:
6

Below is a test input grid. Predict the corresponding output grid by applying the rule you found. Your final answer should just be the text output grid itself.

Input:
2 0 2
0 2 0
2 0 2


---

RESPONSE:
After analyzing the examples, I've identified the common rule that maps an input grid to an output grid.

The rule is: Count the number of distinct non-zero values in each row and column. The output is the maximum count among all rows and columns.

Applying this rule to the test input grid:

Input:
2 0 2
0 2 0
2 0 2

Distinct non-zero values in each row:
- Row 1: 2 (1 distinct value)
- Row 2: 2 (1 distinct value)
- Row 3: 2 (1 distinct value)

Distinct non-zero values in each column:
- Column 1: 2 (1 distinct value)
- Column 2: 0, 2 (2 distinct values)
- Column 3: 2 (1 distinct value)

The maximum count among all rows and columns is 2.

Therefore, the output grid is:

2

---


response byte count: 678
response item count: 193
elapsed: 6.47 seconds

expected output:
[[2]]

predicted output:
[[2]]

status: correct
