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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple
Purple Blue Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple
Purple Blue Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple
Purple Blue Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple
Purple Blue Blue Blue Blue 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 Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple
Purple Purple Blue Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple
Purple Purple Blue Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple
Purple Purple Blue Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple
Purple Purple Blue Blue Blue Blue 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

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


Example 2
Input:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple
Purple Blue Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple
Purple Blue Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple
Purple Blue Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple
Purple Blue Blue Blue Blue 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 Blue Blue Blue Blue Blue Purple Purple Purple
Purple Purple Purple Purple Blue Purple Purple Purple Blue Purple Purple Purple
Purple Purple Purple Purple Blue Purple Purple Purple Blue Purple Purple Purple
Purple Purple Purple Purple Blue Purple Purple Purple Blue Purple Purple Purple
Purple Purple Purple Purple Blue Blue Blue Blue Blue Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple

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


Example 3
Input:
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Blue Blue Blue Blue Blue Purple Purple
Purple Blue Purple Purple Purple Blue Purple Purple
Purple Blue Purple Purple Purple Blue Purple Purple
Purple Blue Purple Purple Purple Blue Purple Purple
Purple Blue Blue Blue Blue Blue Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Blue Blue Blue Blue Blue Purple Purple
Purple Blue Purple Purple Purple Blue Purple Purple
Purple Blue Purple Purple Purple Blue Purple Purple
Purple Blue Purple Purple Purple Blue Purple Purple
Purple Blue Blue Blue Blue 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

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


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


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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Purple Purple Black
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Purple Purple Blue Purple Purple Black
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Purple Purple Blue Purple Purple Black
Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow Yellow Blue Yellow Purple Purple Blue Purple Purple Black
Black Yellow Yellow Yellow Blue Yellow Yellow Yellow Blue Yellow Yellow Blue Blue Blue Blue Blue Purple Purple Black
Black Yellow Yellow Yellow Blue Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Black
Black Yellow Yellow Yellow Blue Yellow Yellow Yellow Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Purple Black
Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Purple Purple Purple Blue Purple Black
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Purple Purple Purple Blue Purple Black
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Purple Purple Purple Blue Purple Black
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Purple Black
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant