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

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


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

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


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

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


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

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