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

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


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

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


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

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


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


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:

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