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

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


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 Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Brown Yellow Purple Yellow Black Black Black Black Black Black
Black Black Black Black Black Purple Red Brown Yellow Black Black Black Black Black Black
Black Black Black Yellow Yellow Purple Pink Pink Purple Purple Brown Brown Black Black Black
Black Black Black Purple Brown Pink Purple Purple Pink Red Yellow Brown Black Black Black
Black Black Brown Yellow Red Pink Purple Purple Pink Brown Purple Black Black Black Black
Black Black Brown Brown Purple Purple Pink Pink Purple Yellow Yellow Black Black Black Black
Black Black Black Black Black Yellow Brown Red Purple Black Black Black Black Black Black
Black Black Black Black Black Yellow Purple Yellow Brown Black Black Black Black Black Black
Purple Purple Black Purple Black Black Black Brown Brown Black Black Black Black Black Black
Black Red Red Purple Black Black Black Black Black Black Black Black Black Black Black
Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Purple Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black

Output:
Purple Purple Black Purple Brown Black Black Black Black Black
Black Red Red Purple Yellow Purple Yellow Black Black Black
Purple Red Red Purple Red Brown Yellow Black Black Black
Purple Yellow Purple Purple Pink Pink Purple Purple Brown Brown
Black Purple Brown Pink Purple Purple Pink Red Yellow Brown
Brown Yellow Red Pink Purple Purple Pink Brown Purple Black
Brown Brown Purple Purple Pink Pink Purple Yellow Yellow Black
Black Black Black Yellow Brown Red Purple Black Black Black
Black Black Black Yellow Purple Yellow Brown Black Black Black
Black Purple Black Black Black Brown Brown Black Black Black


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 Red Red Purple Purple Purple Black Black Black Black Black
Black Black Black Black Green Purple Red Orange Purple Purple Black Black Black Black Black
Black Black Purple Purple Black Green Gray Orange Orange Black Green Black Black Black Black
Black Black Purple Purple Orange Purple Black Purple Purple Green Purple Red Black Black Black
Black Black Purple Orange Orange Purple Blue Blue Black Gray Red Red Black Black Black
Black Black Red Red Gray Black Blue Blue Purple Orange Orange Purple Black Black Black
Black Black Red Purple Green Purple Purple Black Purple Orange Purple Purple Black Black Black
Black Black Black Green Black Orange Orange Gray Green Black Purple Purple Black Black Black
Black Black Black Black Purple Purple Orange Red Purple Green Black Black Black Black Black
Blue Blue Black Black Purple Purple Purple Red Red Black Black Black Black Black Black
Gray Purple Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Purple Black Orange Black Black Black Black Black Black Black Black Black Black Black
Black Red Orange Orange Black Black Black Black Black Black Black Black Black Black Black

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


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