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:
Yellow Yellow Gray Gray Brown Brown Orange Orange Blue Blue Brown Brown Purple Purple Purple Purple
Yellow Yellow Gray Gray Brown Brown Orange Orange Blue Blue Brown Brown Purple Purple Purple Purple
Purple Purple Pink Pink Orange Orange Yellow Yellow Purple Purple Purple Purple Gray Gray Purple Purple
Purple Purple Pink Pink Orange Orange Yellow Yellow Purple Purple Purple Purple Gray Gray Purple Purple
Orange Orange Orange Orange Gray Gray Purple Purple Green Green Brown Brown Pink Pink Yellow Yellow
Orange Orange Orange Orange Gray Gray Purple Purple Green Green Brown Brown Pink Pink Yellow Yellow
Pink Pink Brown Brown Orange Orange Red Red Green Green Orange Orange Pink Pink Yellow Yellow
Pink Pink Brown Brown Orange Orange Red Red Green Green Orange Orange Pink Pink Yellow Yellow
Yellow Yellow Green Green Blue Blue Orange Orange Green Green Yellow Yellow Purple Purple Gray Gray
Yellow Yellow Green Green Blue Blue Orange Orange Green Green Yellow Yellow Purple Purple Gray Gray
Pink Pink Green Green Pink Pink Orange Orange Purple Purple Yellow Yellow Gray Gray Yellow Yellow
Pink Pink Green Green Pink Pink Orange Orange Purple Purple Yellow Yellow Gray Gray Yellow Yellow
Brown Brown Orange Orange Gray Gray Green Green Yellow Yellow Green Green Brown Brown Pink Pink
Brown Brown Orange Orange Gray Gray Green Green Yellow Yellow Green Green Brown Brown Pink Pink
Purple Purple Orange Orange Purple Purple Orange Orange Gray Gray Orange Orange Blue Blue Blue Blue
Purple Purple Orange Orange Purple Purple Orange Orange Gray Gray Orange Orange Blue Blue Blue Blue

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


Example 2
Input:
Pink Pink Green Green Orange Orange Gray Gray Brown Brown
Pink Pink Green Green Orange Orange Gray Gray Brown Brown
Orange Orange Pink Pink Brown Brown Brown Brown Pink Pink
Orange Orange Pink Pink Brown Brown Brown Brown Pink Pink
Yellow Yellow Blue Blue Blue Blue Brown Brown Orange Orange
Yellow Yellow Blue Blue Blue Blue Brown Brown Orange Orange
Blue Blue Gray Gray Purple Purple Purple Purple Blue Blue
Blue Blue Gray Gray Purple Purple Purple Purple Blue Blue
Red Red Red Red Brown Brown Purple Purple Orange Orange
Red Red Red Red Brown Brown Purple Purple Orange Orange

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


Example 3
Input:
Orange Orange Red Red Pink Pink Purple Purple Blue Blue
Orange Orange Red Red Pink Pink Purple Purple Blue Blue
Gray Gray Green Green Orange Orange Yellow Yellow Blue Blue
Gray Gray Green Green Orange Orange Yellow Yellow Blue Blue
Brown Brown Blue Blue Gray Gray Orange Orange Brown Brown
Brown Brown Blue Blue Gray Gray Orange Orange Brown Brown
Yellow Yellow Orange Orange Pink Pink Green Green Green Green
Yellow Yellow Orange Orange Pink Pink Green Green Green Green
Yellow Yellow Purple Purple Blue Blue Purple Purple Orange Orange
Yellow Yellow Purple Purple Blue Blue Purple Purple Orange Orange

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


Here is the input grid for the test example:
Input:
Gray Gray Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Red Red
Gray Gray Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Red Red
Pink Pink Blue Blue Brown Brown Yellow Yellow Red Red Orange Orange Pink Pink
Pink Pink Blue Blue Brown Brown Yellow Yellow Red Red Orange Orange Pink Pink
Gray Gray Pink Pink Orange Orange Blue Blue Pink Pink Yellow Yellow Green Green
Gray Gray Pink Pink Orange Orange Blue Blue Pink Pink Yellow Yellow Green Green
Green Green Gray Gray Pink Pink Orange Orange Brown Brown Purple Purple Green Green
Green Green Gray Gray Pink Pink Orange Orange Brown Brown Purple Purple Green Green
Pink Pink Pink Pink Pink Pink Orange Orange Red Red Green Green Brown Brown
Pink Pink Pink Pink Pink Pink Orange Orange Red Red Green Green Brown Brown
Brown Brown Gray Gray Pink Pink Pink Pink Purple Purple Gray Gray Orange Orange
Brown Brown Gray Gray Pink Pink Pink Pink Purple Purple Gray Gray Orange Orange
Gray Gray Pink Pink Purple Purple Gray Gray Orange Orange Orange Orange Purple Purple
Gray Gray Pink Pink Purple Purple Gray Gray Orange Orange Orange Orange 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:

```
Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Gray Gray
Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Gray Gray
Pink Pink Yellow Yellow Brown Brown Blue Blue Gray Gray Orange Orange Pink Pink
Pink Pink Yellow Yellow Brown Brown Blue Blue Gray Gray Orange Orange Pink Pink
Gray Gray Pink Pink Orange Orange Yellow Yellow Pink Pink Blue Blue Brown Brown
Gray Gray Pink Pink Orange Orange Yellow Yellow Pink Pink Blue Blue Brown Brown
Brown Brown Gray Gray Pink Pink Orange Orange Brown Brown Purple Purple Brown Brown
Brown Brown Gray Gray Pink Pink Orange Orange Brown Brown Purple Purple Brown Brown
Pink Pink Pink Pink Pink Pink Orange Orange Gray Gray Brown Brown Brown Brown
Pink Pink Pink Pink Pink Pink Orange Orange Gray Gray Brown Brown Brown Brown
Brown Brown Gray Gray Pink Pink Pink Pink Purple Purple Gray Gray Orange Orange
Brown Brown Gray Gray Pink Pink Pink Pink Purple Purple Gray Gray Orange Orange
Gray Gray Pink Pink Purple Purple Gray Gray Orange Orange Orange Orange Purple Purple
Gray Gray Pink Pink Purple Purple Gray Gray Orange Orange Orange Orange Purple Purple
```
assistant