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 Red Yellow Black Brown Black Black Black Black Red Yellow Black Brown Black Black
Black Brown Yellow Yellow Black Brown Brown Black Black Brown Yellow Yellow Black Brown Brown Black
Brown Brown Green Green Black Green Yellow Red Brown Brown Green Green Black Green Yellow Red
Black Black Black Purple Purple Green Yellow Yellow Black Black Black Purple Purple Green Yellow Yellow
Yellow Yellow Green Purple Purple Black Black Black Yellow Yellow Green Purple Purple Black Black Black
Red Yellow Green Black Green Green Brown Brown Red Yellow Green Black Green Green Brown Brown
Black Brown Brown Black Yellow Yellow Brown Black Black Brown Brown Black Yellow Yellow Brown Black
Black Black Brown Black Yellow Red Black Black Black Black Brown Black Yellow Red Black Black
Black Black Red Yellow Black Brown Black Black Black Black Red Yellow Black Brown Black Black
Black Brown Yellow Yellow Black Brown Brown Black Black Brown Yellow Yellow Black Brown Brown Black
Brown Brown Green Green Black Green Yellow Red Brown Brown Green Green Black Green Yellow Red
Black Black Black Purple Purple Green Yellow Yellow Black Black Black Purple Purple Green Yellow Yellow
Yellow Yellow Green Purple Purple Black Black Black Yellow Yellow Green Purple Purple Black Black Black
Red Yellow Green Black Green Green Brown Brown Red Yellow Green Black Green Green Brown Brown
Black Brown Brown Black Yellow Yellow Brown Black Black Brown Brown Black Yellow Yellow Brown Black
Black Black Brown Black Yellow Red Black Black Black Black Brown Black Yellow Red Black Black

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


Example 2
Input:
Black Black Purple Blue Blue Blue Blue Purple Black Black
Black Blue Purple Gray Yellow Yellow Gray Purple Blue Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Blue Gray Purple Black Black Black Black Purple Gray Blue
Blue Yellow Purple Black Black Black Black Purple Yellow Blue
Black Black Purple Blue Blue Black Black Purple Yellow Blue
Black Blue Purple Gray Yellow Black Black Purple Gray Blue
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Blue Gray Purple Black Black Yellow Gray Purple Blue Black
Blue Yellow Purple Black Black Blue Blue Purple Black Black

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


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

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


Here is the input grid for the test example:
Input:
Red Red Red Red Red Red Red Red
Brown Brown Brown Brown Brown Brown Brown Brown
Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Black Black Purple Purple Black
Red Red Red Red Red Red Red Red
Brown Brown Brown Brown Brown Brown Brown Brown
Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Black Black Purple Purple 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:

```
Purple Purple Purple Purple
Purple Black Black Purple
Red Red Red Red
Brown Brown Brown Brown
```
assistant