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 Orange Black Black Black Black Black
Black Black Black Brown Black Black Black Black Black
Black Black Black Brown Black Black Gray Gray Black
Black Black Black Brown Yellow Yellow Gray Gray Black
Black Black Black Brown Red Red Gray Gray Black
Black Black Black Black Yellow Yellow Yellow 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


Example 2
Input:
Black Black Black Black Black Black Black Black
Black Black Brown Brown Brown Black Black Black
Black Black Pink Pink Pink Pink Red Black
Black Black Pink Pink Pink Pink Red Black
Black Black Pink Pink Pink Pink Orange Black
Black Black Black Black Black Black Black Black

Output:
Black Black Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Purple Purple Purple Purple


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


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

```
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
```
assistant