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

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


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

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


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

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


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


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:

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