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

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


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

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


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

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


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

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