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 Brown Brown Black Black
Black Blue Brown Black Black Black Black Black Black Black Black Black Blue Brown Brown Blue Black
Black Blue Red Black Black Black Black Black Black Black Black Black Purple Green Green Purple Black
Black Orange Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Red Black Red Red Red Black Black Black Black Black Black Black Black Black Black
Black Blue Brown Black Yellow Black Yellow Black Orange Black Orange Black Black Black Black Black Black
Black Black Black Black Yellow Black Yellow Black Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Red Red Red Black Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black
Purple Purple Purple Purple Black Black Black Black Black Black Black Black Blue Blue Black Black Black
Purple Blue Blue Purple Black Black Black Black Black Black Black Black Blue Blue Black Black Black
Blue Green Green Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black
Orange Orange Orange Orange 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 Brown Brown Black Black
Black Blue Brown Black Black Black Black Black Black Black Black Black Blue Brown Brown Blue Black
Black Blue Red Black Black Black Black Black Black Black Black Black Purple Green Green Purple Black
Black Orange Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Red Black Red Red Red Black Black Black Black Black Black Black Black Black Black
Black Blue Brown Black Yellow Black Yellow Black Orange Black Orange Black Black Black Black Black Black
Black Black Black Black Yellow Black Yellow Black Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Red Red Red Black Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black
Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Black Black Black
Purple Blue Blue Purple Black Black Black Black Black Black Black Black Purple Purple Black Black Black
Blue Green Green Blue Black Black Black Black Black Black Black Black Purple Purple Black Black Black
Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black


Example 2
Input:
Black Black Black Black Purple Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Purple Green Green Purple Black Black Black Black Brown Black Black
Black Black Black Black Purple Black Black Purple Black Black Black Black Brown Pink Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black
Black Black Black Blue Blue Blue Black Black Black Black Black Black Brown Pink Black
Black Black Black Blue Blue Blue Black Black Black Black Black Black Brown Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Yellow Brown Brown Yellow Black Black Black Black Black Black
Blue Blue Black Black Black Red Brown Brown Red Black Black Black Black Black Black
Blue Blue Black Black Black Pink Brown Brown Pink Black Black Black Black Black Black
Blue Blue Black Black Black Purple Brown Brown Purple Black Black Black Black Black Black

Output:
Black Black Black Black Purple Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Purple Green Green Purple Black Black Black Black Brown Black Black
Black Black Black Black Purple Black Black Purple Black Black Black Black Brown Pink Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black
Black Black Black Purple Purple Purple Black Black Black Black Black Black Brown Pink Black
Black Black Black Purple Purple Purple Black Black Black Black Black Black Brown Black 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 Black Black Black Black Black Black
Black Black Black Black Black Yellow Purple Purple Yellow Black Black Black Black Black Black
Purple Purple Black Black Black Red Purple Purple Red Black Black Black Black Black Black
Purple Purple Black Black Black Pink Purple Purple Pink Black Black Black Black Black Black
Purple Purple Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black


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

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