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

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

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

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