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:
Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow
Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow
Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow

Output:
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple


Example 2
Input:
Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow
Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow
Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow

Output:
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple


Example 3
Input:
Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red
Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red
Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red

Output:
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray


Here is the input grid for the test example:
Input:
Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red
Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red
Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red


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 Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray Purple Purple Gray
```
assistant