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


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


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

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


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

```
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
```
assistant