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 Red 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
Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Red Black Black Black Black Black Black Gray Gray Purple Purple Black Black Black
Black Black Red Red Red Black Black Black Black Gray Gray Gray Gray Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Gray Gray Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black
Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black
Black Black Black Orange Orange Orange Orange Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black
Black Black Black Purple Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Purple Purple Purple Black Black Orange Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
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 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 Red Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Red Red Black Red Red Red Red Black Black Black Black Black
Black Black Black Red Red Red Red Red Red Red Red Black Pink Black Black
Red Black Black Black Black Black Black Black Red Red Red Black Pink Black Black
Red Black Black Black Black Black Yellow Black Red Red Red Black Pink Pink Pink
Red Red Black Black Black Black Yellow Black Red Red Black Black Black Black Black
Red Black Black Black Black Black Yellow Black Black Green Green Black Black Black Black
Red Black Black Black Yellow Yellow Yellow Black Black Green Green Black Black Black Black
Black Black Black Purple Purple Purple Purple Purple Black Green Green Orange Orange Black Black
Black Black Black Purple Purple Purple Purple Purple Black Orange Black Orange Black Black Black
Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Orange Orange Black
Yellow Yellow Yellow Black Black Black Black Black Black Black Black Orange Black Orange Black
Yellow Black Yellow Black Black Black Black Black Black Black Orange Orange 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


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
Blue Blue Blue Blue Blue Green Black Black Green Black Black
Blue Blue Black Blue Blue Green Black Black Green Black Black
Black Blue Blue Blue Black Green Green Green Green Black Black
Black Black Black Black Black Green Black Black Green Black Black
Brown Brown Brown Black Black Green Black Black Green Black Black
Brown Brown Black Black Black Black Black Black Purple Purple Purple
Brown Brown Black Gray Gray Black Black Black Purple Purple Purple
Brown Brown Brown Gray Gray Black Black Black Black Purple Purple
Black Black Black Gray Gray Black Black Black Purple Purple Purple
Black Black Black Gray Gray Black Black Black Purple Purple Purple
Black Brown Brown Black Black Black Black Black Black Black Black
Black Brown Brown Black Black Black Black 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
Black Black Black Black Black Black Black Black Black 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:
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
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
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
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown


Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black
Black Black Black Black Brown Brown Black Brown Brown Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Pink Pink Black Black
Black Purple Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Pink Pink Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black
Purple Purple Purple Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black
Black Black Purple Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Blue Blue Blue Blue Blue Black Black
Black Red Black Red Black Black Yellow Black Black Black Yellow Black Blue Blue Blue Blue Blue Black Black
Red Red Red Red Red Black Yellow Yellow Yellow Yellow Yellow Black Blue Blue Blue Blue Blue Black Black
Red Red Red Red Red Black Yellow Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
```
assistant