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:
Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Red Red Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Pink Pink Red Red Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Yellow Yellow Yellow Yellow
Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow
Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow
Red Red Orange Orange Orange Orange Pink Pink Red Red Black Black Black Black Black Black Black Black
Red Red Orange Orange Orange Orange Pink Pink Red Red Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Red Red Black Black Black Black Black Black Red Red
Red Red Black Black Black Black Black Black Red Red Black Black Black Black Black Black Red Red
Black Black Pink Pink Red Red Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Pink Pink Red Red Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Pink Pink Pink Pink Black Black Black Black Black Black Red Red Black Black Pink Pink
Black Black Pink Pink Pink Pink Black Black Black Black Black Black Red Red Black Black Pink Pink

Output:
Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue
Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange
Black Black Orange Orange Orange Orange Black Black Black Black Blue Blue Blue Blue Orange Orange Orange Orange
Black Black Orange Orange Orange Orange Black Black Black Black Blue Blue Blue Blue Orange Orange Orange Orange
Black Black Orange Orange Orange Orange Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black
Black Black Orange Orange Orange Orange Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue 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


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


Example 3
Input:
Black Black Pink Pink Orange Orange Yellow Yellow Yellow Yellow Orange Orange Orange Orange Brown Brown Pink Pink
Black Black Pink Pink Orange Orange Yellow Yellow Yellow Yellow Orange Orange Orange Orange Brown Brown Pink Pink
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Pink Pink Black Black Black Black Black Black
Gray Gray Gray Gray Black Black Brown Brown Brown Brown Black Black Brown Brown Purple Purple Purple Purple
Gray Gray Gray Gray Black Black Brown Brown Brown Brown Black Black Brown Brown Purple Purple Purple Purple
Gray Gray Gray Gray Pink Pink Brown Brown Brown Brown Purple Purple Orange Orange Black Black Orange Orange
Gray Gray Gray Gray Pink Pink Brown Brown Brown Brown Purple Purple Orange Orange Black Black Orange Orange
Black Black Brown Brown Orange Orange Orange Orange Black Black Black Black Black Black Black Black Purple Purple
Black Black Brown Brown Orange Orange Orange Orange Black Black Black Black Black Black Black Black Purple Purple
Black Black Pink Pink Orange Orange Orange Orange Black Black Brown Brown Black Black Black Black Purple Purple
Black Black Pink Pink Orange Orange Orange Orange Black Black Brown Brown Black Black Black Black Purple Purple
Black Black Black Black Brown Brown Black Black Pink Pink Orange Orange Brown Brown Black Black Purple Purple
Black Black Black Black Brown Brown Black Black Pink Pink Orange Orange Brown Brown Black Black Purple Purple
Black Black Black Black Orange Orange Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Black Black
Black Black Black Black Orange Orange Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Black Black
Orange Orange Purple Purple Black Black Pink Pink Brown Brown Pink Pink Pink Pink Black Black Black Black
Orange Orange Purple Purple Black Black Pink Pink Brown Brown Pink Pink Pink Pink Black Black Black Black

Output:
Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Blue Blue Blue Blue Black Black
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Blue Blue Blue Blue Black Black
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Blue Blue Blue Blue Black Black
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Blue Blue Blue Blue Black Black
Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue 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


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


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 Black Black Black Black Black Black
Black Black Black Black Black Black Black Black 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 Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant