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


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 Black Black Black Black Purple Pink Black Black Black Black
Black Black Black Black Black Yellow Purple Gray Pink Pink Pink Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Pink Pink Black Black Black
Black Black Black Black Yellow Yellow Purple Purple Green Green Green Black Black Black
Black Black Black Black Gray Yellow Gray Purple Blue Blue Green Black Black Black
Black Black Black Black Gray Yellow Gray Purple Blue Green Green Black Black Black
Black Black Black Black Black Gray Black Purple Pink Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Pink 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 Black Black Black Black Black Black Black

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