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 Yellow Orange Purple Yellow Purple Yellow Black Black Purple Orange
Black Yellow Purple Yellow Purple Yellow Purple Purple Black Orange Purple Orange
Purple Orange Yellow Purple Black Black Purple Purple Orange Purple Purple Purple
Black Orange Purple Purple Purple Yellow Yellow Yellow Purple Yellow Orange Yellow
Orange Orange Purple Black Orange Orange Yellow Orange Yellow Purple Black Orange
Purple Black Purple Purple Purple Purple Yellow Orange Orange Purple Yellow Yellow
Yellow Yellow Yellow Orange Yellow Purple Purple Purple Yellow Orange Purple Yellow
Orange Yellow Purple Orange Yellow Yellow Orange Yellow Yellow Yellow Purple Black
Purple Purple Yellow Purple Yellow Yellow Orange Purple Yellow Orange Purple Orange
Yellow Orange Purple Yellow Yellow Purple Orange Orange Orange Orange Yellow Orange
Black Purple Orange Purple Purple Purple Yellow Purple Yellow Purple Yellow Purple
Yellow Purple Orange Orange Orange Yellow Purple Purple Purple Black Orange Yellow

Output:
Blue Blue Black Black Blue Black Blue Black Black Black Blue Black
Black Black Blue Black Blue Black Blue Blue Black Black Blue Black
Blue Black Black Blue Black Black Blue Blue Black Blue Blue Blue
Black Black Blue Blue Blue Black Black Black Blue Black Black Black
Black Black Blue Black Black Black Black Black Black Blue Black Black
Blue Black Blue Blue Blue Blue Black Black Black Blue Black Black
Black Black Black Black Black Blue Blue Blue Black Black Blue Black
Black Black Blue Black Black Black Black Black Black Black Blue Black
Blue Blue Black Blue Black Black Black Blue Black Black Blue Black
Black Black Blue Black Black Blue Black Black Black Black Black Black
Black Blue Black Blue Blue Blue Black Blue Black Blue Black Blue
Black Blue Black Black Black Black Blue Blue Blue Black Black Black


Example 2
Input:
Orange Blue Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Orange Orange
Orange Black Blue Blue Blue Blue Blue Black Orange Purple Blue Blue Purple Blue
Orange Blue Orange Blue Orange Blue Blue Blue Blue Blue Purple Blue Orange Orange
Blue Blue Orange Orange Purple Orange Blue Purple Orange Purple Black Blue Orange Purple
Blue Orange Purple Blue Blue Orange Blue Blue Blue Orange Orange Black Blue Orange
Blue Blue Orange Orange Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple
Orange Blue Orange Orange Orange Blue Blue Orange Black Blue Orange Orange Purple Purple
Orange Orange Blue Orange Purple Purple Blue Orange Purple Orange Blue Blue Orange Orange
Black Blue Orange Purple Blue Orange Purple Purple Blue Blue Blue Orange Blue Blue
Orange Blue Purple Orange Blue Blue Orange Orange Orange Orange Blue Black Purple Blue
Orange Orange Orange Orange Orange Purple Purple Orange Orange Purple Black Black Blue Purple
Orange Purple Blue Orange Purple Orange Purple Orange Purple Orange Purple Purple Orange Blue

Output:
Blue Black Blue Blue Blue Black Black Black Black Black Black Black Blue Blue
Blue Black Black Black Black Black Black Black Blue Black Black Black Black Black
Blue Black Blue Black Blue Black Black Black Black Black Black Black Blue Blue
Black Black Blue Blue Black Blue Black Black Blue Black Black Black Blue Black
Black Blue Black Black Black Blue Black Black Black Blue Blue Black Black Blue
Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black
Blue Black Blue Blue Blue Black Black Blue Black Black Blue Blue Black Black
Blue Blue Black Blue Black Black Black Blue Black Blue Black Black Blue Blue
Black Black Blue Black Black Blue Black Black Black Black Black Blue Black Black
Blue Black Black Blue Black Black Blue Blue Blue Blue Black Black Black Black
Blue Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black
Blue Black Black Blue Black Blue Black Blue Black Blue Black Black Blue Black


Example 3
Input:
Pink Black Brown Brown Pink Pink Gray Black Black Gray Brown Gray Gray Brown
Gray Pink Pink Pink Pink Brown Gray Gray Brown Pink Brown Black Gray Black
Black Black Gray Black Black Brown Gray Gray Pink Pink Brown Brown Black Gray
Brown Black Gray Gray Black Gray Pink Gray Black Pink Gray Pink Brown Brown
Black Gray Brown Black Gray Brown Gray Pink Black Brown Brown Black Black Pink
Pink Black Brown Black Black Brown Black Pink Pink Brown Black Gray Brown Gray
Black Black Black Black Gray Brown Gray Brown Pink Black Pink Gray Black Brown
Brown Black Gray Black Brown Gray Gray Pink Pink Pink Gray Brown Gray Black
Black Black Gray Brown Black Pink Gray Black Pink Gray Gray Pink Brown Brown
Pink Gray Brown Gray Black Brown Gray Black Black Brown Gray Brown Pink Gray
Brown Brown Brown Gray Brown Gray Black Brown Gray Pink Pink Black Black Gray
Brown Pink Pink Gray Brown Brown Brown Gray Gray Pink Brown Pink Gray Brown
Pink Pink Gray Brown Brown Black Gray Gray Black Black Brown Brown Pink Brown

Output:
Black Black Blue Blue Black Black Black Black Black Black Blue Black Black Blue
Black Black Black Black Black Blue Black Black Blue Black Blue Black Black Black
Black Black Black Black Black Blue Black Black Black Black Blue Blue Black Black
Blue Black Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black Blue Black Black Blue Black Black Black Blue Blue Black Black Black
Black Black Blue Black Black Blue Black Black Black Blue Black Black Blue Black
Black Black Black Black Black Blue Black Blue Black Black Black Black Black Blue
Blue Black Black Black Blue Black Black Black Black Black Black Blue Black Black
Black Black Black Blue Black Black Black Black Black Black Black Black Blue Blue
Black Black Blue Black Black Blue Black Black Black Blue Black Blue Black Black
Blue Blue Blue Black Blue Black Black Blue Black Black Black Black Black Black
Blue Black Black Black Blue Blue Blue Black Black Black Blue Black Black Blue
Black Black Black Blue Blue Black Black Black Black Black Blue Blue Black Blue


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


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 Blue Black Blue Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Blue Black Blue Blue Black
Blue Black Black Black Black Blue Blue Black Blue Black Blue Blue
Black Blue Black Black Black Blue Black Blue Blue Black Blue Blue
Black Black Black Blue Black Black Black Black Black Black Blue Black
Black Black Black Black Blue Black Black Black Blue Black Black Blue
Black Black Black Blue Black Blue Black Black Blue Blue Blue Black
Black Blue Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Blue Black Blue Black Black Blue
Black Black Black Black Blue Black Black Blue Black Black Blue Black
Black Blue Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Blue Blue Black Black Black Black
Blue Black Black Black Black Black Black Blue Black Black Black Blue
```
assistant