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

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


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

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


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

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


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


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:

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