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

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


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

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


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

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


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


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