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

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


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

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


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

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


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

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