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 Black Black Black Black Black Black Black Black Black Black Black Black
Red Red 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
Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Gray Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Gray Gray Gray Gray Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple

Output:
Black Black Black Black Black Black Purple Purple Purple Purple
Black Black Black Black Black Black Purple Purple Purple Purple
Black Black Black Black Black Black Purple Purple Pink Pink
Black Black Black Black Black Black Purple Purple Pink Pink
Black Black Black Black Black Black Purple Purple Pink Pink
Black Black Black Black Black Black Purple Purple Pink Pink
Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Gray Gray Black Black Gray Gray Black Black
Black Black Gray Gray Black Black Gray Gray Black Black
Red Red Gray Gray Gray Gray Gray Gray Black Black
Red Red Gray Gray Gray Gray Gray Gray Black Black


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

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


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

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


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