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

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


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

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


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

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


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


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