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 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 Purple Purple Purple Purple 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 Brown Brown Brown Black Black Black Black Black Black Black
Orange Orange Orange Orange Black Brown Brown Brown Black Black Black Black Black Black Black
Gray Orange Orange Gray Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow 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 Black Yellow Yellow Yellow Yellow Black
Black Black Black Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Black
Black Black Black Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Black
Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black

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

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

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

```
Blue Blue Blue Blue 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
Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Black Black Black Black Black Black Black Brown Brown Brown Brown
Blue Blue Blue Blue Black Black Black Black Black Black Black Brown Brown Brown Brown
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 Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black
Black Black Black Gray Gray Gray Black Pink Pink Pink Brown Brown Brown Black Black
Black Black Black Gray Gray Gray Black Pink Pink Pink Black Black Black Black Black
Black Black Black Gray Gray Gray 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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant