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:
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Gray Gray Gray Gray Gray Red Red Red Red Red Gray Gray Gray Gray Gray Red
Red Gray Red Red Red Gray Red Red Red Red Red Gray Red Red Red Gray Red
Red Gray Red Red Red Gray Red Red Red Red Red Gray Red Red Red Gray Red
Red Gray Red Red Red Gray Red Red Red Red Red Gray Red Red Red Gray Red
Red Gray Gray Gray Gray Gray Red Red Red Red Red Gray Gray Gray Gray Gray Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Red Red Red
Red Red Red Gray Red Red Red Gray Red Gray Red Red Red Gray Red Red Red
Red Red Red Gray Red Red Red Gray Red Gray Red Red Red Gray Red Red Red
Red Red Red Gray Red Red Red Gray Red Gray Red Red Red Gray Red Red Red
Red Red Red Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red

Output:
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Gray Gray Gray Gray Gray Red Red Red Red Red Gray Gray Gray Gray Gray Red
Red Gray Red Red Red Gray Red Red Red Red Red Gray Red Red Red Gray Red
Red Gray Red Yellow Yellow Gray Yellow Yellow Yellow Yellow Yellow Gray Yellow Yellow Yellow Gray Yellow
Red Gray Red Yellow Red Gray Red Red Red Red Red Gray Red Yellow Red Gray Red
Red Gray Gray Gray Gray Gray Red Red Red Red Red Gray Gray Gray Gray Gray Red
Red Red Red Yellow Red Red Red Red Red Red Red Red Red Yellow Red Red Red
Red Red Red Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Red Red Red
Red Red Red Gray Red Red Red Gray Red Gray Red Red Red Gray Red Red Red
Red Red Red Gray Red Yellow Yellow Gray Yellow Gray Yellow Yellow Yellow Gray Yellow Yellow Yellow
Red Red Red Gray Red Yellow Red Gray Red Gray Red Yellow Red Gray Red Red Red
Red Red Red Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Red Red Red
Red Red Red Yellow Red Yellow Red Red Red Red Red Yellow Red Yellow Red Red Red


Example 2
Input:
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red Red Red
Red Purple Red Red Red Purple Red Red Red Red Red Red Red Red Red Red Red Red
Red Purple Red Red Red Purple Red Red Red Red Red Red Red Red Red Red Red Red
Red Purple Red Red Red Purple Red Red Purple Purple Purple Purple Purple Red Red Red Red Red
Red Purple Purple Purple Purple Purple Red Red Purple Red Red Red Purple Red Red Red Red Red
Red Red Red Red Red Red Red Red Purple Red Red Red Purple Red Red Red Red Red
Red Purple Purple Purple Purple Purple Red Red Purple Red Red Red Purple Red Red Red Red Red
Red Purple Red Red Red Purple Red Red Purple Purple Purple Purple Purple Red Red Red Red Red
Red Purple Red Red Red Purple Red Red Red Red Red Red Red Red Red Red Red Red
Red Purple Red Red Red Purple Red Red Red Red Red Purple Purple Purple Purple Purple Red Red
Red Purple Purple Purple Purple Purple Red Red Red Red Red Purple Red Red Red Purple Red Red
Red Red Red Red Red Red Red Red Red Red Red Purple Red Red Red Purple Red Red
Red Red Red Red Red Red Red Red Red Red Red Purple Red Red Red Purple Red Red
Red Red Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red

Output:
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red Red Red
Red Purple Red Red Red Purple Red Red Red Red Red Red Red Red Red Red Red Red
Red Purple Red Yellow Yellow Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Red Purple Red Yellow Red Purple Red Red Purple Purple Purple Purple Purple Red Red Red Red Red
Red Purple Purple Purple Purple Purple Red Red Purple Red Red Red Purple Red Red Red Red Red
Red Red Red Yellow Red Red Red Red Purple Red Yellow Yellow Purple Yellow Yellow Yellow Yellow Yellow
Red Purple Purple Purple Purple Purple Red Red Purple Red Yellow Red Purple Red Red Red Red Red
Red Purple Red Yellow Red Purple Red Red Purple Purple Purple Purple Purple Red Red Red Red Red
Red Purple Red Yellow Yellow Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Red Purple Red Yellow Red Purple Red Red Red Red Yellow Purple Purple Purple Purple Purple Red Red
Red Purple Purple Purple Purple Purple Red Red Red Red Yellow Purple Red Red Red Purple Red Red
Red Red Red Yellow Red Red Red Red Red Red Yellow Purple Red Yellow Yellow Purple Yellow Yellow
Red Red Red Yellow Red Red Red Red Red Red Yellow Purple Red Yellow Red Purple Red Red
Red Red Red Yellow Red Red Red Red Red Red Yellow Purple Purple Purple Purple Purple Red Red
Red Red Red Yellow Red Red Red Red Red Red Yellow Red Red Yellow Red Red Red Red


Example 3
Input:
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Red
Red Red Red Red Red Red Red Red Red Purple Red Red Red Purple Red
Red Red Red Red Red Red Red Red Red Purple Red Red Red Purple Red
Red Red Red Red Red Red Red Red Red Purple Red Red Red Purple Red
Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red
Red Purple Red Red Red Purple Red Red Red Red Red Red Red Red Red
Red Purple Red Red Red Purple Red Red Red Red Red Red Red Red Red
Red Purple Red Red Red Purple Red Red Red Red Red Red Red Red Red
Red Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red

Output:
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Red
Red Red Red Red Red Red Red Red Red Purple Red Red Red Purple Red
Red Red Red Red Red Red Red Red Red Purple Red Yellow Yellow Purple Yellow
Red Red Red Red Red Red Red Red Red Purple Red Yellow Red Purple Red
Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Red
Red Red Red Red Red Red Red Red Red Red Red Yellow Red Red Red
Red Purple Purple Purple Purple Purple Red Red Red Red Red Yellow Red Red Red
Red Purple Red Red Red Purple Red Red Red Red Red Yellow Red Red Red
Red Purple Red Yellow Yellow Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Red Purple Red Yellow Red Purple Red Red Red Red Red Yellow Red Red Red
Red Purple Purple Purple Purple Purple Red Red Red Red Red Yellow Red Red Red
Red Red Red Yellow Red Red Red Red Red Red Red Yellow Red Red Red
Red Red Red Yellow Red Red Red Red Red Red Red Yellow Red Red Red
Red Red Red Yellow Red Red Red Red Red Red Red Yellow Red Red Red


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 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
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
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:

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