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 Yellow Yellow Yellow Yellow
Purple Green Yellow Yellow Yellow Yellow
Purple Purple Red Red Yellow Yellow
Purple Purple Red Red Yellow Red
Yellow Yellow Green Green Yellow Yellow
Yellow Yellow Green Green Yellow Green

Output:
Gray Gray Yellow Yellow Yellow Yellow
Gray Gray Gray Gray Yellow Yellow
Purple Gray Red Gray Gray Gray
Gray Gray Gray Gray Gray Gray
Yellow Gray Green Gray Gray Gray
Yellow Gray Green Gray Gray Gray


Example 2
Input:
Yellow Yellow Yellow Yellow Green Green
Yellow Yellow Yellow Red Green Green
Yellow Yellow Purple Purple Red Red
Yellow Yellow Purple Yellow Red Purple
Green Green Red Red Yellow Yellow
Green Green Red Red Yellow Yellow

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


Example 3
Input:
Yellow Yellow Purple Purple Yellow Yellow
Yellow Red Purple Purple Yellow Purple
Green Green Yellow Yellow Purple Purple
Green Green Yellow Yellow Purple Purple
Yellow Yellow Green Green Green Green
Yellow Yellow Green Green Green Green

Output:
Gray Gray Purple Gray Gray Gray
Gray Gray Gray Gray Gray Gray
Green Gray Yellow Gray Purple Purple
Gray Gray Gray Gray Gray Gray
Yellow Gray Green Green Green Green
Yellow Gray Green Green Green Green


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

```
Gray Gray Red Gray Purple Purple
Gray Gray Gray Gray Gray Gray
Red Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray
Yellow Gray Gray Gray Gray Gray
Yellow Gray Gray Gray Gray Gray
```
assistant