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 Yellow Pink Brown Black
Pink Brown Black Black Orange
Black Black Orange Blue Black
Yellow Black Black Green Purple
Green Purple Black Black Black

Output:
Purple Purple Pink Pink Black Black Yellow Yellow Green Green
Purple Purple Pink Pink Black Black Yellow Yellow Green Green
Yellow Yellow Brown Brown Black Black Black Black Purple Purple
Yellow Yellow Brown Brown Black Black Black Black Purple Purple
Pink Pink Black Black Orange Orange Black Black Black Black
Pink Pink Black Black Orange Orange Black Black Black Black
Brown Brown Black Black Blue Blue Green Green Black Black
Brown Brown Black Black Blue Blue Green Green Black Black
Black Black Orange Orange Black Black Purple Purple Black Black
Black Black Orange Orange Black Black Purple Purple Black Black


Example 2
Input:
Orange Black Red Black Red
Brown Black Black Brown Brown
Black Purple Black Orange Black
Black Yellow Black Orange Black
Black Purple Black Black Black

Output:
Orange Orange Brown Brown Black Black Black Black Black Black
Orange Orange Brown Brown Black Black Black Black Black Black
Black Black Black Black Purple Purple Yellow Yellow Purple Purple
Black Black Black Black Purple Purple Yellow Yellow Purple Purple
Red Red Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black
Black Black Brown Brown Orange Orange Orange Orange Black Black
Black Black Brown Brown Orange Orange Orange Orange Black Black
Red Red Brown Brown Black Black Black Black Black Black
Red Red Brown Brown Black Black Black Black Black Black


Example 3
Input:
Black Black Red Black Blue
Pink Gray Black Black Yellow
Black Black Black Black Brown
Black Black Black Orange Black
Black Black Black Black Black

Output:
Black Black Pink Pink Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black
Black Black Gray Gray Black Black Black Black Black Black
Black Black Gray Gray Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Orange Orange Black Black
Blue Blue Yellow Yellow Brown Brown Black Black Black Black
Blue Blue Yellow Yellow Brown Brown Black Black Black Black


Here is the input grid for the test example:
Input:
Black Gray Black Black Black
Blue Black Gray Black Black
Orange Black Purple Black Black
Black Gray Black Pink Black
Black Black Black 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:

```
Black Black Blue Blue Orange Orange Black Black Black Black
Black Black Blue Blue Orange Orange Black Black Black Black
Gray Gray Black Black Black Black Gray Gray Black Black
Gray Gray Black Black Black Black Gray Gray Black Black
Black Black Gray Gray Purple Purple Black Black Black Black
Black Black Gray Gray Purple Purple Black Black Black Black
Black Black Black Black Black Black Pink Pink Purple Purple
Black Black Black Black Black Black Pink Pink Purple Purple
Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black
```
assistant