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 Purple Purple Purple Black Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Black Blue Brown Brown Brown Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Blue Brown Brown Brown Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Purple Black Black Green Black Black Purple Black
Black Black Black Black Brown Brown Black Black Black Black Purple Green Green Green Green Green Purple Black
Black Black Black Gray Brown Brown Gray Black Black Black Green Purple Purple Green Purple Purple Green Black
Black Black Black Gray Brown Brown Gray Black Black Black Green Green Green Green Green Green Green Black
Black Black Black Black Brown Brown Black Black Black Black Purple Purple Green Black Green Purple Purple Black
Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Gray Gray Red Gray Black Black Black Black Black Black
Black Black Black Black Black Black Black Yellow Gray Yellow Gray Gray Black Black Black Black Black Black
Black Black Blue Black Blue Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Black Black Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Black Black Yellow Gray Yellow Gray Gray Black Black Black Black Black Black
Black Black Blue Black Blue Black Black Gray Gray Gray Red 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

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

Output:
Black Black Blue Red Gray
Blue Blue Gray Gray Gray
Black Black Black Gray Red
Blue Blue Gray Gray Gray
Black Black Blue Red Gray


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Green Black Black Green Orange Black Black Black Black Black Black Black Black Black Black Black
Black Green Orange Orange Green Black Black Black Black Black Black Black Gray Gray Orange Black Black
Black Orange Black Black Orange Black Black Black Black Black Black Black Orange Orange Orange Black Black
Green Green Green Green Green Green Black Black Black Black Black Black Orange Orange Orange Black Black
Orange Green Green Green Green Orange Black Black Black Black Black Black Orange Orange Black Black Black
Green Orange Green Green Orange Green Black Black Black Black Black Black Orange Orange Orange Black Black
Orange Orange Green Green Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Orange Black Black
Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Green Gray Black Black Black Black Black Black Black Black Red Black Black Black Red
Gray Blue Black Gray Black Black Green Blue Black Black Black Black Red Gray Gray Gray Red
Gray Black Orange Green Black Black Yellow Yellow Yellow Black Black Black Red Black Black Black Red
Gray Blue Black Gray Black Black Green Green Yellow Black Black Black Red Black Black Black Red
Orange Orange Green Gray Black Black Yellow Yellow Yellow Black Black Black Red Gray Gray Gray Red
Black Black Green Black Black Black Green Blue Black Black Black Black Red Black Black Black Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Green Black Black Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Black Green Orange Orange Green Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Black Orange Black Black Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Green Orange Green Green Orange Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange


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 Red Red Red Black Black Black 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 Black Black Black Red Red Red Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black 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 Black Black Black Red Red Red Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black
Green Purple Pink Pink Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Purple Pink Yellow Yellow Pink Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Purple Pink Yellow Yellow Pink Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Purple Pink Pink Purple Black Black Black Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Red Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Red Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Red Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Red Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Red Red Red Red Red Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Red Red 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 Red Red Red
Black Red Red Red
Black Red Red Red
Red Red Red Red
Black Red Red Red
Black Red Red Red
Black Red Red Red
```
assistant