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

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


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

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


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

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


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


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:

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