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 Blue Blue Blue Blue Blue Black Black Black Black Black Blue Black
Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black
Black Black Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Brown Brown Brown Black Black Yellow Black Black Blue Blue Blue Blue Blue Black Black
Brown Brown Brown Black Black Blue Black Black Yellow Blue Blue Blue Blue Black Black
Brown Brown Brown Black Gray Gray Gray Gray Blue Blue Blue Blue Blue Black Black
Brown Brown Brown Yellow Gray Gray Yellow Gray Black Black Blue Blue Blue Blue Blue
Black Black Black Black Gray Gray Gray Gray Yellow Black Blue Blue Blue Blue Blue
Brown Brown Brown Brown Gray Gray Gray Gray Black Black Blue Blue Blue Blue Blue
Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Black Black Blue Black Black Black Black Black Black Black Blue
Brown Brown Brown Blue Black Black Yellow Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Blue Blue Blue Black Black Yellow Gray Gray Black Black Black
Black Black Black Black Blue Blue Blue Black Black Gray Yellow Gray Brown Brown Brown
Black Black Black Black Yellow Blue Blue Black Black Gray Blue Gray Brown Brown Brown
Black Black Black Black Blue Blue Blue Black Black Gray Gray Gray Brown Brown Brown
Black Black Black Black Blue Blue Blue Black Black Gray Gray Gray Brown Brown Brown

Output:
Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Blue Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Brown Brown Brown Black Black Yellow Black Black Blue Blue Blue Blue Blue Blue Black
Brown Brown Brown Black Black Blue Black Black Yellow Blue Blue Blue Blue Blue Black
Brown Brown Brown Blue Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue
Brown Brown Brown Yellow Gray Gray Yellow Gray Blue Blue Blue Blue Blue Blue Blue
Black Blue Blue Blue Gray Gray Gray Gray Yellow Blue Blue Blue Blue Blue Blue
Brown Brown Brown Brown Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue
Brown Brown Brown Brown Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue
Brown Brown Brown Brown Blue Blue Blue Blue Black Black Black Black Black Blue Blue
Brown Brown Brown Blue Blue Blue Yellow Blue Black Yellow Yellow Yellow Black Black Blue
Brown Brown Brown Brown Blue Blue Blue Blue Yellow Yellow Gray Gray Yellow Yellow Yellow
Black Blue Blue Blue Blue Blue Blue Blue Yellow Gray Yellow Gray Brown Brown Brown
Black Black Black Blue Yellow Blue Blue Blue Yellow Gray Blue Gray Brown Brown Brown
Black Black Black Blue Blue Blue Blue Blue Yellow Gray Gray Gray Brown Brown Brown
Black Black Black Blue Blue Blue Blue Blue Yellow Gray Gray Gray Brown Brown Brown


Example 2
Input:
Black Black Pink Pink Pink Pink Black Black Black Black Black Purple Black Brown Brown Brown Brown Black
Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Brown Brown Brown Brown Black
Black Black Pink Purple Pink Pink Black Black Pink Pink Pink Pink Pink Brown Brown Brown Brown Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Brown Purple Brown
Black Black Purple Purple Purple Purple Purple Black Pink Pink Pink Pink Pink Black Black Brown Brown Brown
Black Black Purple Purple Purple Purple Purple Brown Pink Pink Pink Pink Pink Black Black Brown Brown Brown
Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Brown Brown Brown
Black Black Purple Purple Purple Purple Purple Black Purple Black Black Black Black Black Black Brown Brown Purple
Black Black Purple 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 Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Brown Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Brown Black Black Black Black Black Black Brown Black Black Black Black Black Black

Output:
Black Black Pink Pink Pink Pink Black Black Black Black Black Purple Black Brown Brown Brown Brown Black
Black Pink Pink Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Brown Brown Brown Brown Purple
Black Pink Pink Purple Pink Pink Pink Purple Pink Pink Pink Pink Pink Brown Brown Brown Brown Purple
Black Black Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Purple Purple Brown Purple Brown
Black Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Purple Purple Brown Brown Brown
Black Purple Purple Purple Purple Purple Purple Brown Pink Pink Pink Pink Pink Purple Purple Brown Brown Brown
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Brown Brown Brown
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Brown Brown Purple
Black Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Black Black Black Black Brown Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Black Brown Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Brown Brown Brown Black Brown Black Black Purple Brown Purple Purple Purple Black Black Black


Example 3
Input:
Black Black Yellow Black Black Green Yellow Black Black Black Brown Brown Brown Brown Brown Black
Black Black Black Black Black Black Black Black Black Black Yellow Brown Brown Brown Brown Black
Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Brown Brown Brown Brown Brown Black
Yellow Yellow Yellow Yellow Green Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Green Black Black Black
Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black
Yellow Black Black Black Black Blue Blue Green Blue Blue Blue Blue Blue Blue Green Black
Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Black Black Black Black Black Black Black Yellow Black Black Blue Blue Blue Blue Black
Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black
Green Black Black Black Black Black Black Black Black Yellow Brown Brown Brown Black Black Black
Brown Brown Green Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black
Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Yellow Black Black
Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black
Black Black Black Black Black Yellow Green Green Yellow Brown Green Brown Brown Black Black Black

Output:
Black Black Yellow Black Black Green Yellow Black Black Black Brown Brown Brown Brown Brown Black
Black Yellow Yellow Yellow Yellow Green Green Black Black Brown Yellow Brown Brown Brown Brown Brown
Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Brown Brown Brown Brown Brown Brown Brown
Yellow Yellow Yellow Yellow Green Yellow Yellow Black Black Black Brown Brown Brown Brown Brown Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Green Black Black Black
Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Black Black
Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Green Yellow Yellow Black
Yellow Yellow Black Black Yellow Blue Blue Green Blue Blue Blue Blue Blue Blue Green Yellow
Black Black Black Black Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow
Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue Yellow
Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Black
Brown Brown Green Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Yellow Black Black
Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Yellow Yellow Black
Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Yellow Black Black
Black Yellow Yellow Yellow Yellow Yellow Green Green Yellow Brown Green Brown Brown Yellow Black Black


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


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 Brown Brown Brown Brown Black Black Purple Purple Gray
Purple Purple Purple Purple Orange Orange Orange Purple Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple
Purple Purple Purple Purple Orange Orange Orange Purple Brown Brown Brown Brown Orange Brown Purple Orange Purple Purple
Purple Purple Purple Purple Orange Orange Orange Purple Black Brown Brown Brown Brown Black Black Purple Purple Purple
Black Purple Gray Purple Orange Orange Orange Purple Black Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Orange Orange Orange Purple Black Black Black Black Black Orange Black Black Black Black
Brown Brown Brown Brown Gray Purple Purple Black Black Black Black Black Orange Orange Orange Orange Orange Black
Brown Brown Brown Brown Gray Orange Orange Orange Orange Orange Black Black Orange Purple Purple Purple Purple Orange
Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Black Orange Purple Purple Purple Purple Orange
Brown Brown Brown Gray Orange Orange Orange Orange Orange Orange Orange Black Orange Purple Purple Purple Gray Orange
Black Orange Orange Orange Orange Orange Orange Orange Orange Gray Orange Black Orange Purple Purple Purple Purple Orange
Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Purple Purple Purple Purple Orange
Black Orange Orange Orange Gray Orange Orange Orange Orange Orange Black Orange Purple Purple Purple Purple Purple Orange
Black Orange Orange Orange Gray Black Black Orange Orange Orange Black Orange Purple Purple Purple Purple Purple Orange
Black Orange Orange Orange Gray Black Black Black Orange Black Orange Orange Purple Purple Purple Purple Orange Orange
Orange Orange Gray Gray Black Black Black Black Black Orange Orange Orange Purple Purple Purple Purple Purple Orange
Black Black Gray Gray Gray Black Black Black Black Black Orange Orange Purple Purple Purple Purple Purple Orange
Black Black Black Gray Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant