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:
Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple

Output:
Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue
Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue
Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue
Black Black Black Black Black Black Black Black Black Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black
Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow Black Black Black
Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow Black Black Black
Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow Black Black Black
Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black
Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black
Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black


Example 2
Input:
Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Black Black Black
Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Black Black Black
Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Black Black Black
Brown Brown Brown Brown Brown Brown Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow
Brown Brown Brown Brown Brown Brown Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow
Brown Brown Brown Brown Brown Brown Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow
Brown Brown Brown Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red
Brown Brown Brown Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red
Brown Brown Brown Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red
Brown Brown Brown Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red
Brown Brown Brown Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red
Brown Brown Brown Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red
Brown Brown Brown Brown Brown Brown Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow
Brown Brown Brown Brown Brown Brown Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow
Brown Brown Brown Brown Brown Brown Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow
Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Black Black Black
Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Black Black Black
Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Black Black Black

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


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

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


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

```
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown
Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown
Brown Brown Brown Gray Gray Gray Gray Gray Gray Brown Brown Brown
Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink
Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink
Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink
```
assistant