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 Pink Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black
Black Black Black Black Pink Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black
Gray Gray Gray Black Pink Pink Black Black Yellow Black Black Yellow Black Black Black Brown Black
Gray Gray Gray Black Black Black Black Black Yellow Black Black Yellow Black Black Brown Brown Brown
Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Brown Black
Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Purple Purple 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 Black Black Purple Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown

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


Example 2
Input:
Black Black Black Black Black Black Orange Black Black Black Purple Purple Black Gray Gray
Black Black Black Black Black Orange Orange Orange Black Black Black Purple Purple Gray Gray
Black Black Black Black Black Orange Orange Orange Black Black Black Purple Purple Gray Gray
Black Black Black Black Black Black Orange Black Black Black Purple Purple Pink Pink Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black
Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black
Black Black Black Black Black Black Black Black Green Green Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Green Black Red Red Black Black
Black Black Black Black Black Black Black Black Green Green Black Red Red Red Black
Black Black Black Black Black Black Black Black Green Green Blue Green Black Green 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 Green Green Green Black

Output:
Black Black Purple Purple Black Gray Gray
Black Black Black Purple Purple Gray Gray
Black Black Black Purple Purple Gray Gray
Black Black Purple Purple Pink Pink Black
Black Black Black Black Pink Pink Black
Black Black Black Red Red Red Black
Green Green Black Red Red Black Black
Green Green Black Red Red Black Black
Green Green Black Red Red Red Black
Green Green Blue Green Black Green Black
Black Black Black Green Green Green Black
Black Black Black Green Green Green 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 Blue Black Gray Black Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Black Gray Green Green Pink Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Pink Pink Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black 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:
Blue Blue Blue Blue
Blue Blue Blue Blue


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 Blue Blue Black Blue Black Red Brown Brown Black Black Black
Black Black Black Blue Blue Black Black Red Red Red Brown Black Black Black
Black Black Black Blue Blue Black Black Black Red Brown Brown Black Black Black
Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black
Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Black 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 Black Black
Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black
Black Red Red Black Black Black Gray Gray Black Black Black Black Black Black
Black Red Red Black Black Black Gray Gray Black Black Black Black Black Black
Black Red Red Black Black Black Black Gray Gray 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 Blue Blue
Black Black Blue Blue
Black Black Blue Blue
Black Black Blue Blue
Purple Purple Black Black
Purple Purple Black Black
```
assistant