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

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


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

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


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

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


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


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:

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