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

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


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

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