You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.
system
Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Gray Gray Gray Purple Purple Purple Gray Gray Gray Gray Purple
Purple Purple Gray Purple Purple Gray Purple Purple Purple Gray Purple Purple Gray Purple
Purple Purple Gray Gray Gray Gray Purple Purple Purple Gray Gray Gray Gray Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Gray Gray Gray Purple Purple Purple Gray Gray Gray Gray Purple
Purple Purple Gray Purple Purple Gray Purple Purple Purple Gray Purple Purple Gray Purple
Purple Purple Gray Gray Gray Gray Purple Purple Purple Gray Gray Gray Gray Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink
Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


Example 2
Input:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Purple Purple Purple Gray Purple Purple Purple Purple Purple Purple
Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Purple Purple Purple Gray Purple Purple Purple Purple Gray
Purple Purple Purple Purple Purple Purple Purple Purple Gray Purple Purple Purple Purple Gray
Purple Purple Purple Purple Purple Purple Purple Purple Gray Purple Purple Purple Purple Gray
Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Purple Purple Pink Gray Purple Purple Purple Purple Purple Purple
Purple Purple Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Purple Purple Purple Gray Purple Purple Purple Purple Gray
Purple Purple Purple Purple Purple Purple Purple Purple Gray Purple Purple Purple Purple Gray
Purple Purple Purple Purple Purple Purple Purple Purple Gray Purple Purple Purple Purple Gray
Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray


Example 3
Input:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple
Gray Purple Purple Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple
Gray Purple Purple Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple
Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple
Gray Purple Purple Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple
Gray Purple Purple Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple
Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink
Purple Purple Gray Purple Purple Purple Gray Pink Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Purple Purple Gray Pink Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Purple Purple Gray Pink Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Purple Purple Gray Pink Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Gray Gray Gray Gray Pink Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple


Here is the input grid for the test example:
Input:
Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray
Purple Purple Gray Purple Gray Purple Purple Purple Purple Purple Purple Gray Purple Purple Purple Gray
Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Purple Purple Purple Gray
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Purple Purple Purple Gray
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.
user
The output grid for the test input grid is:

```
Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray
Purple Purple Gray Purple Gray Purple Purple Purple Purple Purple Purple Gray Purple Purple Purple Gray
Purple Purple Gray Gray Gray Purple Purple Pink Pink Pink Pink Gray Purple Purple Purple Gray
Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Gray Purple Purple Purple Gray
Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple Purple
```
assistant