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

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


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

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


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

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


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


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