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 Blue Blue Blue Black Black
Black Purple Purple Black Black Black Black Blue Blue Blue Black Black
Black Purple Purple Black Black Black Black Blue Blue Blue Black Black
Black Black Black Black Black Black Gray Black Black Black Black Black
Black Black Black Black Gray Gray Gray Gray Gray Black Black Black
Black Black Black Black Gray Gray Gray Gray Gray Black Black Black
Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black
Black Black Black Black Gray Gray Gray Gray Gray Black Black Black
Black Green Green Black Gray Gray Gray Gray Gray Black Black Black
Black Green Green Black Black Black Gray Black Black Orange Orange Black
Black Black Black Black Black Black Black Black Black Orange Orange Black
Black 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 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 Black Black
Purple Purple Purple Black Black Black Gray Black Black Black Black Black
Purple Purple Purple Black Gray Gray Gray Gray Gray Black Black Black
Purple Purple Purple Black Gray Gray Gray Gray Gray Black Black Black
Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black
Black Black Black Black Gray Gray Gray Gray Gray Black Black Black
Black Black Black Black Gray Gray Gray Gray Gray Black Black Black
Black Black Green Green Black Black Gray Black Black Black Black Black
Black Black Green Green Black Black Black Black Black Orange Orange Orange
Black Black Black Black Black Brown Brown Black Black Orange Orange Orange
Black Black Black Black Black Brown Brown Black Black Orange Orange Orange
Black 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 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 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Black Black Black Gray Black Black Black Black Black
Purple Purple Purple Black Gray Gray Gray Gray Gray Black Black Black
Purple Purple Purple Black Gray Gray Gray Gray Gray Black Black Black
Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black
Black Black Black Black Gray Gray Gray Gray Gray Black Black Black
Black Black Black Black Gray Gray Gray Gray Gray Black Black Black
Black Black Black Black Black Black Gray Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black
Black Black Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black
Black 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 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


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