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 Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow 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 Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Black Black Red Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Red Black Black Red Black Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Yellow Red Red Red Red Black Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Blue Orange Orange Orange Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Orange Orange Black
Black Black Black 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 Yellow Yellow Yellow Yellow Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Red Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Yellow Yellow Purple Red Purple Purple Red Purple Purple Purple Purple
Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Red Red Red Red Purple Purple Purple Purple
Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Orange Orange Purple Purple
Purple Purple Purple Purple Purple Purple Yellow Yellow Purple Purple Blue Blue Blue Orange Orange Orange Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Orange Orange 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 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 Black Black Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Red Red Red Black Blue Blue Blue Black Black Black
Black Black Black Black Black Black Red Red Red Black Black Blue 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 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

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 Yellow Yellow Yellow Yellow Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Purple Blue Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Red Red Red Purple Blue Blue Blue Purple Purple Purple
Purple Purple Purple Purple Purple Purple Red Red Red Purple Purple Blue Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple 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 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 Yellow Yellow Black Black Black Black Black Black Black Black
Black Yellow Yellow Yellow Black Blue Black Black Black Black Black
Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black
Black Yellow Yellow Red Red Blue Black Black Orange Black Black
Black Black Red Red Red Red Black Orange Orange Orange Black
Black Black Red Red Red Red Black Black Orange Black Black
Black Black Black Red Red 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

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 Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Purple Yellow Yellow Yellow Purple Blue Purple Purple Purple Purple Purple
Purple Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple
Purple Yellow Yellow Red Red Blue Purple Purple Orange Purple Purple
Purple Purple Red Red Red Red Purple Orange Orange Orange Purple
Purple Purple Red Red Red Red Purple Purple Orange Purple Purple
Purple Purple Purple Red Red Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple 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 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 Yellow Yellow 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 Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Yellow Yellow Yellow Blue Blue Blue 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 Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Yellow Yellow Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Yellow Yellow Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Yellow Yellow Purple Purple Purple Purple
Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Purple Purple Purple Purple
Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
```
assistant