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:
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 Yellow Yellow
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 Gray Gray
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 Yellow Yellow
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 Purple Purple
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 Orange Orange
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 Pink Pink
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 Green Green
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 Pink Pink


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:
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 Red Red
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 Orange Orange
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 Yellow Yellow
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 Blue Blue
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 Brown Brown
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 Red Red
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 Yellow Yellow


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:
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 Yellow Yellow
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 Red Red
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 Blue Blue
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 Purple Purple
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 Blue Blue
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 Orange Orange
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 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:

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