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 Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Purple Black Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Black Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple
Gray Gray Gray Gray Gray Gray Black Black Black Purple Purple Purple Purple Purple Purple
Gray Gray Gray Gray Gray Gray Black Black Black Purple Purple Purple Purple Purple Purple
Black Black Gray Gray Gray Gray Black Black Black Purple Purple Purple Purple Purple Purple
Black Black Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple
Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple
Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple

Output:
Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple
Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple
Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple
Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple


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 Gray Gray Black Black
Black Black Black Black Black Black Black Red Red Red Black Black Gray Gray Gray Black
Black Black Black Black Black Black Black Red Red Red Black Black Black Gray Gray Black
Black Black Black Black Black Black Black Red Red Red 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 Black Red Red Red Black Black Black Gray Gray Red
Black Black Black Black Black Black Black Red Red Red Black Black Black Gray Gray Gray
Black Red Red Red Red Red Red Red Red Red Black Black Black Black Gray Gray
Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black
Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black

Output:
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red


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 Green Green Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Green Green Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Black Purple Purple Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black
Black Purple Purple Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Green Green Green Green Green Green Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Green Green Green Green Green Green Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Black Black Purple Purple Green Green Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Black Black Purple Purple Green Green Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue 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 Yellow Yellow Yellow Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Yellow Red Black Black Black 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

Output:
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red


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 Brown Brown Black Black Black Black Brown Brown Black
Black Black Black Black Black Black Black Brown Brown Black Black Black Black Brown Brown Black
Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black
Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black
Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black
Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown 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 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 Black Black Black Black 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:

```
Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black Black Black Brown Brown
Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black Black Black Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Black Black Brown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black
Black Black Brown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black
Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black Black Black Brown Brown
Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black Black Black Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Black Black Brown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black
Black Black Brown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black
```
assistant