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

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


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

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


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

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


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

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