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 Gray Gray Gray Gray Gray Purple Purple Purple Purple
Purple Purple Purple Purple Purple Gray Purple Purple Purple Gray Purple Purple Purple Purple
Green Green Green Green Green Gray Purple Purple Purple Gray Purple Purple Purple Purple
Green Purple Purple Purple Green Gray Purple Purple Purple Gray Purple Purple Purple Purple
Green Purple Purple Purple Green Gray Gray Gray Gray Gray Purple Purple Purple Purple
Green Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Purple
Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple 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 Purple
Purple Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Pink Purple
Purple Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Pink Purple
Purple Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Pink Purple
Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Purple

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Purple Purple Purple Purple
Yellow Purple Purple Purple Purple Gray Yellow Purple Purple Gray Purple Purple Purple Purple
Green Green Green Green Green Gray Yellow Purple Purple Gray Purple Purple Purple Purple
Green Purple Purple Purple Green Gray Yellow Purple Purple Gray Purple Purple Purple Purple
Green Purple Purple Purple Green Gray Gray Gray Gray Gray Purple Purple Purple Purple
Green Purple Purple Purple Green Purple Yellow Purple Purple Purple Purple Purple Purple Purple
Green Green Green Green Green Purple Yellow Purple Purple Purple Purple Purple Purple Purple
Yellow Purple Purple Purple Purple Purple Yellow Purple Purple Purple Purple Purple Purple Purple
Yellow Purple Purple Purple Purple Purple Yellow Purple Pink Pink Pink Pink Pink Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Pink Purple Purple Purple Pink Purple
Purple Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Pink Purple
Purple Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Pink Purple
Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink 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
Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple
Yellow Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Purple
Yellow Purple Purple Purple Yellow Yellow Purple Purple Purple Yellow Purple
Yellow Purple Purple Purple Yellow Yellow Purple Purple Purple Yellow Purple
Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Yellow Purple
Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple
Purple Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple
Purple Gray Purple Purple Purple Gray Purple Purple Purple Purple Purple
Purple Gray Purple Purple Purple Gray Purple Purple Purple Purple Purple
Purple Gray Purple Purple Purple Gray 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

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
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Purple Purple Purple Yellow Yellow Purple Purple Purple Yellow Yellow
Yellow Purple Purple Purple Yellow Yellow Purple Purple Purple Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Yellow Yellow
Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Gray Gray Gray Gray Gray Purple Purple Purple Purple Yellow
Yellow Gray Purple Purple Purple Gray Purple Purple Purple Purple Yellow
Yellow Gray Purple Purple Purple Gray Purple Purple Purple Purple Yellow
Yellow Gray Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Yellow
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


Example 3
Input:
Purple Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Orange Purple Purple Purple Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Orange Purple Purple Purple Orange Blue Blue Blue Blue Blue Purple Purple Purple Purple
Purple Orange Purple Purple Purple Orange Blue Purple Purple Purple Blue Purple Purple Purple Purple
Purple Orange Orange Orange Orange Orange Blue Purple Purple Purple Blue Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Blue Purple Purple Purple Blue Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Orange Purple Purple Purple Orange Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Orange Purple Purple Purple Orange Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Orange Purple Purple Purple Orange Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Purple Purple Purple
Purple Purple Purple Purple Purple Purple 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 Orange Orange Orange Orange Orange Yellow Yellow Purple Purple Purple Purple Purple Purple Purple
Purple Orange Purple Purple Purple Orange Purple Yellow Purple Purple Purple Purple Purple Purple Purple
Purple Orange Purple Purple Purple Orange Blue Blue Blue Blue Blue Purple Purple Purple Purple
Purple Orange Purple Purple Purple Orange Blue Yellow Purple Purple Blue Purple Purple Purple Purple
Purple Orange Orange Orange Orange Orange Blue Yellow Purple Purple Blue Purple Purple Purple Purple
Purple Yellow Purple Purple Purple Purple Blue Yellow Purple Purple Blue Purple Purple Purple Purple
Purple Yellow Purple Purple Purple Purple Blue Blue Blue Blue Blue Purple Purple Purple Purple
Purple Yellow Purple Purple Purple Purple Purple Yellow Purple Purple Purple Purple Purple Purple Purple
Purple Yellow Purple Purple Purple Purple Purple Yellow Purple Purple Purple Purple Purple Purple Purple
Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Orange Purple Purple Purple Orange Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Orange Purple Purple Purple Orange Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Orange Purple Purple Purple Orange Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


Here is the input grid for the test example:
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 Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Brown Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Brown Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Brown Purple Purple Purple Brown Blue Blue Blue Blue Blue Purple Purple Purple
Purple Purple Purple Brown Brown Brown Brown Brown Blue Purple Purple Purple Blue Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Blue Purple Purple Purple Blue Purple Purple Purple
Purple Purple Brown Brown Brown Brown Brown Purple Blue Purple Purple Purple Blue Purple Purple Purple
Purple Purple Brown Purple Purple Purple Brown Purple Blue Blue Blue Blue Blue Purple Purple Purple
Purple Purple Brown Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Brown Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Brown Brown Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Purple Purple
Purple Purple Purple Brown Purple Purple Purple Brown Purple Purple Yellow Purple Purple Purple Purple Purple
Purple Purple Purple Brown Purple Purple Purple Brown Purple Purple Yellow Purple Purple Purple Purple Purple
Purple Purple Purple Brown Purple Purple Purple Brown Blue Blue Blue Blue Blue Purple Purple Purple
Purple Purple Purple Brown Brown Brown Brown Brown Blue Purple Yellow Purple Blue Purple Purple Purple
Purple Purple Purple Yellow Purple Purple Purple Purple Blue Purple Yellow Purple Blue Purple Purple Purple
Purple Purple Brown Brown Brown Brown Brown Purple Blue Purple Yellow Purple Blue Purple Purple Purple
Purple Purple Brown Yellow Purple Purple Brown Purple Blue Blue Blue Blue Blue Purple Purple Purple
Purple Purple Brown Yellow Purple Purple Brown Purple Purple Purple Yellow Purple Purple Purple Purple Purple
Purple Purple Brown Yellow Yellow Yellow Brown Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple
Purple Purple Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
```
assistant