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

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


Example 2
Input:
Black Black Gray Gray Pink Pink Green Green Black Black Black Black Black Black
Black Black Gray Gray Pink Pink Green Green Black Black Black Black Black Black
Black Black Green Green Black Black Black Black Green Green Black Black Black Black
Black Black Green Green Black Black Black Black Green Green Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Green Green Black Black
Black Black Black Black Black Black Pink Pink Black Black Green Green Black Black
Black Black Black Black Pink Pink Purple Purple Black Black Green Green Pink Pink
Black Black Black Black Pink Pink Purple Purple Black Black Green Green Pink Pink
Black Black Black Black Black Black Gray Gray Orange Orange Black Black Purple Purple
Black Black Black Black Black Black Gray Gray Orange Orange Black Black Purple Purple
Black Black Black Black Gray Gray Purple Purple Black Black Black Black Black Black
Black Black Black Black Gray Gray Purple Purple Black Black Black Black Black Black
Black Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black
Black Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black

Output:
Black Black Gray Gray Pink Pink Green Green Black Black Black Black Black Black
Black Black Gray Gray Pink Pink Green Green Black Black Black Black Black Black
Black Black Green Green Black Black Black Black Black Black Black Black Black Black
Black Black Green Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Green Green Black Black
Black Black Black Black Black Black Pink Pink Black Black Green Green Black Black
Black Black Black Black Pink Pink Purple Purple Black Black Green Green Pink Pink
Black Black Black Black Pink Pink Purple Purple Black Black Green Green Pink Pink
Black Black Black Black Black Black Gray Gray Orange Orange Black Black Purple Purple
Black Black Black Black Black Black Gray Gray Orange Orange Black Black Purple Purple
Black Black Black Black Gray Gray Purple Purple 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 Orange Orange Orange Orange Orange Orange Black Black
Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black


Example 3
Input:
Gray Gray Blue Blue Blue Blue Black Black Green Green Black Black Black Black Black Black Yellow Yellow
Gray Gray Blue Blue Blue Blue Black Black Green Green Black Black Black Black Black Black Yellow Yellow
Pink Pink Black Black Green Green Gray Gray Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Green Green Gray Gray Black Black Black Black Black Black Black Black Black Black
Pink Pink Gray Gray Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow
Pink Pink Gray Gray Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow
Black Black Yellow Yellow 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
Green Green Black Black Black Black Gray Gray Green Green Gray Gray Yellow Yellow Black Black Black Black
Green Green Black Black Black Black Gray Gray Green Green Gray Gray Yellow Yellow Black Black Black Black
Black Black Black Black Gray Gray Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Gray Gray Black Black Black Black Pink Pink Black Black 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 Yellow Yellow Black Black Black Black

Output:
Gray Gray Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Green Green Gray Gray Black Black Black Black Black Black Black Black Black Black
Pink Pink Black Black Green Green Gray Gray Black Black Black Black Black Black Black Black Black Black
Pink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Gray Gray 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Green Green Gray Gray Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Gray Gray Green Green Gray Gray Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


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


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:

```
Red Red Black Black Black Black Black Black Black Black Brown Brown Blue Blue Purple Purple Black Black
Red Red Black Black Black Black Black Black Black Black Brown Brown Blue Blue Purple Purple Black Black
Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Blue Blue Purple Purple Blue Blue
Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Blue Blue Purple Purple Blue Blue
Purple Purple Brown Brown Blue Blue Black Black Black Black Black Black Red Red Brown Brown Blue Blue
Purple Purple Brown Brown Blue Blue Black Black Black Black Black Black Red Red Brown Brown Blue Blue
Purple Purple Black Black Red Red Black Black Black Black Purple Purple Purple Purple Purple Purple Blue Blue
Purple Purple Black Black Red Red Black Black Black Black Purple Purple Purple Purple Purple Purple Blue Blue
Black Black Black Black Red Red Black Black Black Black Gray Gray Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Gray Gray Black Black Black Black Black Black
Black Black Purple Purple Brown Brown Black Black Black Black Blue Blue Gray Gray Red Red Black Black
Black Black Purple Purple Brown Brown Black Black Black Black Blue Blue Gray Gray Red Red Black Black
Blue Blue Blue Blue Black Black Black Black Black Black Black Black Red Red Brown Brown Black Black
Blue Blue Blue Blue Black Black Black Black Black Black Black Black Red Red Brown Brown Black Black
Brown Brown Black Black Black Black Black Black Black 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
Brown Brown Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant