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:
Gray Brown Purple Gray Brown Red Red Gray Gray Gray Purple Red
Yellow Red Purple Gray Purple Gray Gray Brown Yellow Red Brown Brown
Yellow Red Gray Purple Purple Purple Brown Yellow Brown Yellow Brown Red
Gray Gray Red Red Purple Red Red Brown Gray Gray Red Gray
Red Brown Red Brown Purple Black Black Black Black Purple Gray Gray
Purple Red Brown Yellow Red Black Black Black Black Purple Yellow Brown
Purple Brown Red Gray Yellow Black Black Black Black Black Black Purple
Purple Brown Brown Yellow Red Black Black Black Black Black Black Brown
Purple Yellow Purple Yellow Purple Black Black Black Black Red Yellow Brown
Purple Yellow Brown Red Red Yellow Purple Gray Purple Yellow Purple Red
Brown Brown Yellow Black Black Black Yellow Yellow Gray Black Black Brown
Red Yellow Brown Black Black Black Red Brown Red Black Black Red
Gray Purple Gray Black Black Black Yellow Red Purple Yellow Red Red
Brown Gray Purple Brown Gray Yellow Purple Brown Gray Purple Yellow Yellow
Red Purple Yellow Brown Purple Gray Brown Yellow Purple Gray Brown Brown

Output:
Gray Brown Purple Gray Brown Red Red Gray Gray Gray Purple Red
Yellow Red Purple Gray Purple Gray Gray Brown Yellow Red Brown Brown
Yellow Red Gray Purple Purple Purple Brown Yellow Brown Yellow Brown Red
Gray Gray Red Red Purple Red Red Brown Gray Gray Red Gray
Red Brown Red Brown Purple Blue Blue Blue Blue Purple Gray Gray
Purple Red Brown Yellow Red Blue Blue Blue Blue Purple Yellow Brown
Purple Brown Red Gray Yellow Blue Blue Blue Blue Black Black Purple
Purple Brown Brown Yellow Red Blue Blue Blue Blue Black Black Brown
Purple Yellow Purple Yellow Purple Blue Blue Blue Blue Red Yellow Brown
Purple Yellow Brown Red Red Yellow Purple Gray Purple Yellow Purple Red
Brown Brown Yellow Black Black Black Yellow Yellow Gray Black Black Brown
Red Yellow Brown Black Black Black Red Brown Red Black Black Red
Gray Purple Gray Black Black Black Yellow Red Purple Yellow Red Red
Brown Gray Purple Brown Gray Yellow Purple Brown Gray Purple Yellow Yellow
Red Purple Yellow Brown Purple Gray Brown Yellow Purple Gray Brown Brown


Example 2
Input:
Gray Brown Red Brown Brown Orange Gray Orange Red Orange Red Brown
Red Red Yellow Gray Gray Brown Brown Red Orange Gray Orange Red
Yellow Yellow Brown Yellow Brown Orange Gray Yellow Brown Brown Orange Gray
Brown Gray Red Yellow Black Black Yellow Orange Red Red Red Gray
Orange Yellow Gray Gray Black Black Yellow Orange Yellow Orange Orange Yellow
Yellow Red Brown Red Black Black Red Brown Red Black Black Orange
Yellow Brown Gray Gray Black Black Yellow Orange Yellow Black Black Gray
Yellow Orange Brown Orange Gray Orange Brown Orange Gray Yellow Brown Red
Gray Yellow Brown Gray Yellow Gray Brown Brown Red Orange Red Orange
Gray Red Orange Red Gray Red Brown Yellow Orange Orange Yellow Red

Output:
Gray Brown Red Brown Brown Orange Gray Orange Red Orange Red Brown
Red Red Yellow Gray Gray Brown Brown Red Orange Gray Orange Red
Yellow Yellow Brown Yellow Brown Orange Gray Yellow Brown Brown Orange Gray
Brown Gray Red Yellow Blue Blue Yellow Orange Red Red Red Gray
Orange Yellow Gray Gray Blue Blue Yellow Orange Yellow Orange Orange Yellow
Yellow Red Brown Red Blue Blue Red Brown Red Black Black Orange
Yellow Brown Gray Gray Blue Blue Yellow Orange Yellow Black Black Gray
Yellow Orange Brown Orange Gray Orange Brown Orange Gray Yellow Brown Red
Gray Yellow Brown Gray Yellow Gray Brown Brown Red Orange Red Orange
Gray Red Orange Red Gray Red Brown Yellow Orange Orange Yellow Red


Example 3
Input:
Pink Orange Yellow Pink Brown Orange Brown Yellow Yellow Gray Gray Brown
Orange Gray Yellow Orange Gray Gray Yellow Pink Yellow Yellow Gray Gray
Yellow Pink Orange Brown Orange Brown Orange Yellow Pink Pink Orange Orange
Pink Pink Orange Brown Gray Yellow Yellow Pink Black Black Black Yellow
Brown Brown Gray Pink Pink Pink Orange Gray Black Black Black Pink
Gray Gray Orange Brown Brown Pink Orange Pink Pink Gray Brown Pink
Yellow Brown Gray Gray Yellow Pink Pink Pink Brown Yellow Gray Brown
Yellow Pink Orange Brown Yellow Pink Gray Black Black Gray Pink Orange
Yellow Brown Orange Brown Yellow Pink Brown Black Black Brown Gray Gray
Yellow Brown Orange Gray Yellow Brown Orange Orange Brown Yellow Orange Orange

Output:
Pink Orange Yellow Pink Brown Orange Brown Yellow Yellow Gray Gray Brown
Orange Gray Yellow Orange Gray Gray Yellow Pink Yellow Yellow Gray Gray
Yellow Pink Orange Brown Orange Brown Orange Yellow Pink Pink Orange Orange
Pink Pink Orange Brown Gray Yellow Yellow Pink Blue Blue Blue Yellow
Brown Brown Gray Pink Pink Pink Orange Gray Blue Blue Blue Pink
Gray Gray Orange Brown Brown Pink Orange Pink Pink Gray Brown Pink
Yellow Brown Gray Gray Yellow Pink Pink Pink Brown Yellow Gray Brown
Yellow Pink Orange Brown Yellow Pink Gray Black Black Gray Pink Orange
Yellow Brown Orange Brown Yellow Pink Brown Black Black Brown Gray Gray
Yellow Brown Orange Gray Yellow Brown Orange Orange Brown Yellow Orange Orange


Here is the input grid for the test example:
Input:
Purple Orange Brown Red Purple Purple Gray Red Orange Brown
Gray Orange Purple Brown Red Red Red Gray Gray Orange
Gray Purple Brown Brown Black Black Black Purple Purple Gray
Red Gray Gray Brown Black Black Black Gray Orange Orange
Red Purple Red Red Black Black Black Brown Red Orange
Brown Gray Purple Purple Black Black Black Purple Orange Gray
Purple Purple Orange Brown Brown Black Black Red Purple Orange
Brown Purple Purple Orange Orange Black Black Gray Purple Purple
Orange Brown Purple Purple Purple Gray Orange Red Orange Gray
Red Orange Orange Orange Gray Gray Orange Brown Brown Purple
Brown Brown Gray Purple Purple Brown Orange Red Brown Orange
Gray Orange Red Gray Purple Brown Orange Purple Purple Red
Red Gray Red Orange Gray Gray Gray Gray Gray Brown
Orange Orange Red Red Gray Brown Orange Gray Gray Purple
Red Red Red Brown Purple Purple Gray Gray Brown Gray
Brown Brown Gray Purple Purple Red Brown Orange Red Brown
Red Orange Red Red Orange Red Orange Brown Orange Gray
Brown Gray Orange Red Brown Gray Gray Red Orange Brown
Orange Brown Brown Red Brown Gray Purple Purple Purple Red


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 Orange Brown Red Purple Purple Gray Red Orange Brown
Gray Orange Purple Brown Red Red Red Gray Gray Orange
Gray Purple Brown Brown Blue Blue Blue Purple Purple Gray
Red Gray Gray Brown Blue Blue Blue Gray Orange Orange
Red Purple Red Red Blue Blue Blue Brown Red Orange
Brown Gray Purple Purple Blue Blue Blue Purple Orange Gray
Purple Purple Orange Brown Brown Black Black Red Purple Orange
Brown Purple Purple Orange Orange Black Black Gray Purple Purple
Orange Brown Purple Purple Purple Gray Orange Red Orange Gray
Red Orange Orange Orange Gray Gray Orange Brown Brown Purple
Brown Brown Gray Purple Purple Brown Orange Red Brown Orange
Gray Orange Red Gray Purple Brown Orange Purple Purple Red
Red Gray Red Orange Gray Gray Gray Gray Gray Brown
Orange Orange Red Red Gray Brown Orange Gray Gray Purple
Red Red Red Brown Purple Purple Gray Gray Brown Gray
Brown Brown Gray Purple Purple Red Brown Orange Red Brown
Red Orange Red Red Orange Red Orange Brown Orange Gray
Brown Gray Orange Red Brown Gray Gray Red Orange Brown
Orange Brown Brown Red Brown Gray Purple Purple Purple Red
```
assistant