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 Brown Brown Orange Orange Brown Brown Brown Brown Black Black Purple Purple Orange Orange Brown Brown Brown Brown Purple Purple Gray Gray
Black Black Brown Brown Orange Orange Brown Brown Brown Brown Black Black Purple Purple Orange Orange Brown Brown Brown Brown Purple Purple Gray Gray
Purple Purple Black Black Gray Gray Black Black Orange Orange Purple Purple Purple Purple Black Black Orange Orange Black Black Gray Gray Brown Brown
Purple Purple Black Black Gray Gray Black Black Orange Orange Purple Purple Purple Purple Black Black Orange Orange Black Black Gray Gray Brown Brown
Orange Orange Black Black Orange Orange Black Black Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Purple Purple
Orange Orange Black Black Orange Orange Black Black Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Purple Purple
Brown Brown Brown Brown Purple Purple Black Black Gray Gray Gray Gray Black Black Brown Brown Brown Brown Black Black Gray Gray Black Black
Brown Brown Brown Brown Purple Purple Black Black Gray Gray Gray Gray Black Black Brown Brown Brown Brown Black Black Gray Gray Black Black
Black Black Purple Purple Gray Gray Gray Gray Gray Gray Brown Brown Orange Orange Purple Purple Orange Orange Black Black Black Black Brown Brown
Black Black Purple Purple Gray Gray Gray Gray Gray Gray Brown Brown Orange Orange Purple Purple Orange Orange Black Black Black Black Brown Brown
Black Black Purple Purple Brown Brown Purple Purple Gray Gray Orange Orange Orange Orange Purple Purple Brown Brown Orange Orange Gray Gray Black Black
Black Black Purple Purple Brown Brown Purple Purple Gray Gray Orange Orange Orange Orange Purple Purple Brown Brown Orange Orange Gray Gray Black Black
Brown Brown Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Purple Purple Brown Brown Brown Brown Orange Orange Purple Purple
Brown Brown Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Purple Purple Brown Brown Brown Brown Orange Orange Purple Purple
Orange Orange Gray Gray Brown Brown Orange Orange Orange Orange Black Black Black Black Orange Orange Brown Brown Orange Orange Orange Orange Gray Gray
Orange Orange Gray Gray Brown Brown Orange Orange Orange Orange Black Black Black Black Orange Orange Brown Brown Orange Orange Orange Orange Gray Gray

Output:
Blue Blue Gray Gray Purple Purple Gray Gray Gray Gray Blue Blue Brown Brown Purple Purple Gray Gray Gray Gray Brown Brown Orange Orange
Blue Blue Gray Gray Purple Purple Gray Gray Gray Gray Blue Blue Brown Brown Purple Purple Gray Gray Gray Gray Brown Brown Orange Orange
Brown Brown Blue Blue Orange Orange Blue Blue Purple Purple Brown Brown Brown Brown Blue Blue Purple Purple Blue Blue Orange Orange Gray Gray
Brown Brown Blue Blue Orange Orange Blue Blue Purple Purple Brown Brown Brown Brown Blue Blue Purple Purple Blue Blue Orange Orange Gray Gray
Purple Purple Blue Blue Purple Purple Blue Blue Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray Brown Brown
Purple Purple Blue Blue Purple Purple Blue Blue Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray Brown Brown
Gray Gray Gray Gray Brown Brown Blue Blue Orange Orange Orange Orange Blue Blue Gray Gray Gray Gray Blue Blue Orange Orange Blue Blue
Gray Gray Gray Gray Brown Brown Blue Blue Orange Orange Orange Orange Blue Blue Gray Gray Gray Gray Blue Blue Orange Orange Blue Blue
Blue Blue Brown Brown Orange Orange Orange Orange Orange Orange Gray Gray Purple Purple Brown Brown Purple Purple Blue Blue Blue Blue Gray Gray
Blue Blue Brown Brown Orange Orange Orange Orange Orange Orange Gray Gray Purple Purple Brown Brown Purple Purple Blue Blue Blue Blue Gray Gray
Blue Blue Brown Brown Gray Gray Brown Brown Orange Orange Purple Purple Purple Purple Brown Brown Gray Gray Purple Purple Orange Orange Blue Blue
Blue Blue Brown Brown Gray Gray Brown Brown Orange Orange Purple Purple Purple Purple Brown Brown Gray Gray Purple Purple Orange Orange Blue Blue
Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Brown Brown Gray Gray Gray Gray Purple Purple Brown Brown
Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Brown Brown Gray Gray Gray Gray Purple Purple Brown Brown
Purple Purple Orange Orange Gray Gray Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Gray Gray Purple Purple Purple Purple Orange Orange
Purple Purple Orange Orange Gray Gray Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Gray Gray Purple Purple Purple Purple Orange Orange


Example 2
Input:
Purple Purple Black Black Orange Orange Brown Brown Purple Purple Brown Brown Gray Gray Orange Orange Gray Gray Brown Brown
Purple Purple Black Black Orange Orange Brown Brown Purple Purple Brown Brown Gray Gray Orange Orange Gray Gray Brown Brown
Brown Brown Orange Orange Black Black Orange Orange Black Black Orange Orange Purple Purple Orange Orange Purple Purple Black Black
Brown Brown Orange Orange Black Black Orange Orange Black Black Orange Orange Purple Purple Orange Orange Purple Purple Black Black
Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Black Black
Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Black Black
Gray Gray Orange Orange Gray Gray Black Black Gray Gray Gray Gray Brown Brown Brown Brown Gray Gray Purple Purple
Gray Gray Orange Orange Gray Gray Black Black Gray Gray Gray Gray Brown Brown Brown Brown Gray Gray Purple Purple
Purple Purple Black Black Gray Gray Black Black Purple Purple Orange Orange Gray Gray Purple Purple Brown Brown Orange Orange
Purple Purple Black Black Gray Gray Black Black Purple Purple Orange Orange Gray Gray Purple Purple Brown Brown Orange Orange
Orange Orange Purple Purple Gray Gray Black Black Purple Purple Gray Gray Brown Brown Purple Purple Gray Gray Black Black
Orange Orange Purple Purple Gray Gray Black Black Purple Purple Gray Gray Brown Brown Purple Purple Gray Gray Black Black
Purple Purple Gray Gray Purple Purple Purple Purple Black Black Orange Orange Orange Orange Brown Brown Black Black Black Black
Purple Purple Gray Gray Purple Purple Purple Purple Black Black Orange Orange Orange Orange Brown Brown Black Black Black Black

Output:
Brown Brown Blue Blue Purple Purple Gray Gray Brown Brown Gray Gray Orange Orange Purple Purple Orange Orange Gray Gray
Brown Brown Blue Blue Purple Purple Gray Gray Brown Brown Gray Gray Orange Orange Purple Purple Orange Orange Gray Gray
Gray Gray Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Brown Brown Purple Purple Brown Brown Blue Blue
Gray Gray Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Brown Brown Purple Purple Brown Brown Blue Blue
Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Purple Purple Blue Blue
Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Purple Purple Blue Blue
Orange Orange Purple Purple Orange Orange Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Brown Brown
Orange Orange Purple Purple Orange Orange Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Brown Brown
Brown Brown Blue Blue Orange Orange Blue Blue Brown Brown Purple Purple Orange Orange Brown Brown Gray Gray Purple Purple
Brown Brown Blue Blue Orange Orange Blue Blue Brown Brown Purple Purple Orange Orange Brown Brown Gray Gray Purple Purple
Purple Purple Brown Brown Orange Orange Blue Blue Brown Brown Orange Orange Gray Gray Brown Brown Orange Orange Blue Blue
Purple Purple Brown Brown Orange Orange Blue Blue Brown Brown Orange Orange Gray Gray Brown Brown Orange Orange Blue Blue
Brown Brown Orange Orange Brown Brown Brown Brown Blue Blue Purple Purple Purple Purple Gray Gray Blue Blue Blue Blue
Brown Brown Orange Orange Brown Brown Brown Brown Blue Blue Purple Purple Purple Purple Gray Gray Blue Blue Blue Blue


Example 3
Input:
Black Black Orange Orange Brown Brown Black Black Purple Purple Purple Purple Brown Brown Gray Gray Gray Gray Orange Orange Black Black
Black Black Orange Orange Brown Brown Black Black Purple Purple Purple Purple Brown Brown Gray Gray Gray Gray Orange Orange Black Black
Orange Orange Orange Orange Orange Orange Brown Brown Black Black Brown Brown Brown Brown Gray Gray Orange Orange Purple Purple Purple Purple
Orange Orange Orange Orange Orange Orange Brown Brown Black Black Brown Brown Brown Brown Gray Gray Orange Orange Purple Purple Purple Purple
Black Black Gray Gray Black Black Purple Purple Purple Purple Gray Gray Gray Gray Purple Purple Black Black Gray Gray Brown Brown
Black Black Gray Gray Black Black Purple Purple Purple Purple Gray Gray Gray Gray Purple Purple Black Black Gray Gray Brown Brown
Purple Purple Black Black Brown Brown Black Black Orange Orange Brown Brown Orange Orange Gray Gray Black Black Orange Orange Purple Purple
Purple Purple Black Black Brown Brown Black Black Orange Orange Brown Brown Orange Orange Gray Gray Black Black Orange Orange Purple Purple
Black Black Brown Brown Brown Brown Orange Orange Purple Purple Black Black Purple Purple Black Black Orange Orange Gray Gray Orange Orange
Black Black Brown Brown Brown Brown Orange Orange Purple Purple Black Black Purple Purple Black Black Orange Orange Gray Gray Orange Orange
Black Black Orange Orange Gray Gray Purple Purple Gray Gray Orange Orange Brown Brown Gray Gray Brown Brown Orange Orange Black Black
Black Black Orange Orange Gray Gray Purple Purple Gray Gray Orange Orange Brown Brown Gray Gray Brown Brown Orange Orange Black Black
Black Black Brown Brown Orange Orange Black Black Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Orange Orange Gray Gray
Black Black Brown Brown Orange Orange Black Black Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Orange Orange Gray Gray

Output:
Blue Blue Purple Purple Gray Gray Blue Blue Brown Brown Brown Brown Gray Gray Orange Orange Orange Orange Purple Purple Blue Blue
Blue Blue Purple Purple Gray Gray Blue Blue Brown Brown Brown Brown Gray Gray Orange Orange Orange Orange Purple Purple Blue Blue
Purple Purple Purple Purple Purple Purple Gray Gray Blue Blue Gray Gray Gray Gray Orange Orange Purple Purple Brown Brown Brown Brown
Purple Purple Purple Purple Purple Purple Gray Gray Blue Blue Gray Gray Gray Gray Orange Orange Purple Purple Brown Brown Brown Brown
Blue Blue Orange Orange Blue Blue Brown Brown Brown Brown Orange Orange Orange Orange Brown Brown Blue Blue Orange Orange Gray Gray
Blue Blue Orange Orange Blue Blue Brown Brown Brown Brown Orange Orange Orange Orange Brown Brown Blue Blue Orange Orange Gray Gray
Brown Brown Blue Blue Gray Gray Blue Blue Purple Purple Gray Gray Purple Purple Orange Orange Blue Blue Purple Purple Brown Brown
Brown Brown Blue Blue Gray Gray Blue Blue Purple Purple Gray Gray Purple Purple Orange Orange Blue Blue Purple Purple Brown Brown
Blue Blue Gray Gray Gray Gray Purple Purple Brown Brown Blue Blue Brown Brown Blue Blue Purple Purple Orange Orange Purple Purple
Blue Blue Gray Gray Gray Gray Purple Purple Brown Brown Blue Blue Brown Brown Blue Blue Purple Purple Orange Orange Purple Purple
Blue Blue Purple Purple Orange Orange Brown Brown Orange Orange Purple Purple Gray Gray Orange Orange Gray Gray Purple Purple Blue Blue
Blue Blue Purple Purple Orange Orange Brown Brown Orange Orange Purple Purple Gray Gray Orange Orange Gray Gray Purple Purple Blue Blue
Blue Blue Gray Gray Purple Purple Blue Blue Gray Gray Gray Gray Purple Purple Purple Purple Orange Orange Purple Purple Orange Orange
Blue Blue Gray Gray Purple Purple Blue Blue Gray Gray Gray Gray Purple Purple Purple Purple Orange Orange Purple Purple Orange Orange


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