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

Output:
Purple Blue Blue Purple Purple Blue Blue Purple Black Black Black Black
Yellow Black Gray Yellow Yellow Black Gray Yellow Purple Blue Blue Purple
Brown Black Black Brown Brown Black Black Brown Yellow Black Gray Yellow
Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown
Black Black Black Black Black Black Purple Black Brown Brown Brown Brown
Black Black Black Yellow Gray Gray Black Purple Blue Blue Purple Black
Black Black Black Black Gray Black Brown Yellow Black Gray Yellow Black
Black Black Black Brown Brown Brown Brown Brown Black Black Brown Black
Black Black Black Purple Black Black Purple Brown Brown Brown Brown Black
Black Black Black Yellow Gray Gray Yellow Black Black Black Black Black
Black Black Black Black Gray Gray Brown Black Black Black Black Black
Black Black Black Brown Brown Brown Brown Black Black Black Black Black


Example 2
Input:
Black Black Red Black Black Black Black Black Black Black Black Black
Black Red Red Black Purple Purple Black Black Black Black Black Black
Black Red Red Blue Black Blue Black Black Black Black Black Black
Black Pink Brown Black Orange Purple Black Black Black Black Black Black
Black Pink 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 Black
Black Black Black Black Black Black Black Black Black Black Black Black
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 Red Black Black Black Black Red Black Black Black Black
Black Red Red Black Purple Purple Red Red Black Purple Purple Black
Black Red Red Blue Black Blue Red Red Blue Black Blue Black
Black Pink Brown Black Orange Purple Pink Brown Black Orange Purple Black
Black Pink Pink Pink Orange Black Pink Pink Pink Orange Black Black
Black Red Black Black Black Black Red Black Black Black Black Black
Red Red Black Purple Purple Red Red Black Purple Purple Black Black
Red Red Blue Black Blue Red Red Blue Black Blue Black Black
Pink Brown Black Orange Purple Pink Brown Black Orange Purple Black Black
Pink Pink Pink Orange Black Pink 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


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 Blue Black Black
Black Black Black Black Black Black Black Black Black Black Blue Yellow 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 Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black 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 Blue Yellow Blue
Black Black Black Black Black Black Black Black Black Black Black Black Blue Black

Output:
Black Blue Black Black Blue Black Black Blue Black Black Blue Black Black Black
Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Black Black
Black Blue Black Black Blue Black Black Blue Black Black Black Blue Black Black
Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Black Blue Yellow Blue Black
Black Blue Black Black Blue Black Black Blue Black Black Blue Black Black Black
Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Black Black
Black Blue Black Black Blue Black Black Blue Black Black Blue Black Black Black
Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Black Black
Black Blue Black Black Blue Black Black Blue Black Black Blue Black Black Black
Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Black Black
Black Blue Black Black Blue Black Black Blue Black Black Blue Black Black Black
Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Black
Black Blue Black Black Blue Black Black Blue Black Black Black Blue Yellow Blue
Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Black Black Black Blue 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 Red Green Red Black Black Black Black
Black Black Black Black Black Black Black Red Green Red Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Black Purple Purple Green Purple Black Red Black Black Black Black
Red Green Red Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black
Purple Purple Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple 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 Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Green Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Green 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


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 Red Green Red Black Black Black Black Black Black Black Black Black Black Black
Red Green Red Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Green Purple Black Red Black Black Black Black Red Green Red Black Black Black Black
Purple Purple Black Black Black Black Black Red Green Red Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Black Purple Purple Green Purple Black Red Black Black Black Black
Red Green Red Black Black Black Black Purple Purple Black Black Black Red Green Red Black Black
Purple Purple Green Black Black Black Red Green Red Red Green Red Purple Purple Black Black Black
Purple Purple Red Red Green Red Purple Purple Black Purple Purple Green Purple Black Red Black Black
Black Black Black Purple Purple Green Purple Black Red Purple Purple Black Black Black Red Green Red
Black Black Black Purple Purple Black Black Black Red Green Red Red Green Red Purple Purple Black
Black Black Black Black Black Red Green Red Purple Purple Black Purple Purple Green Purple Black Red
Black Black Black Black Black Purple Purple Green Purple Black Red Purple Purple Black Black Black Black
Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Red Green Red
Black Black Black Red Green Red Black Black Red Green Red Red Green Red Purple Purple Black
Red Green Red Purple Purple Black Black Black Purple Purple Green Purple Purple Green Purple Black Red
Purple Purple Green Purple Black Red Black Black Purple Purple Black Purple Purple Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant