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

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


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

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

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


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