You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.
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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 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 Purple Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red
Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple
Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple
Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple
Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple
Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple
Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple
Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple
Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red
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 Purple Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow

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


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

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


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

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


Here is the input grid for the test example:
Input:
Red Red Red Red Purple Purple Purple Purple Red Red Red Red Red Red Red Red
Red Red Red Red Purple Purple Purple Purple Red Red Red Red Red Red Red Red
Red Red Red Red Purple Purple Purple Purple Red Red Red Red Red Red Red Red
Red Red Red Red Purple Purple Purple Purple Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Red Red Red Red
Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Red Red Red Red
Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Red Red Red Red
Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Red Red Red Red
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 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 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 Purple Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow
Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Red Red Red Red
Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Red Red Red Red
Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Red Red Red Red
Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Red Red Red Red
Red Red Red Red Purple Purple Purple Purple Red Red Red Red Red Red Red Red
Red Red Red Red Purple Purple Purple Purple Red Red Red Red Red Red Red Red
Red Red Red Red Purple Purple Purple Purple Red Red Red Red Red Red Red Red
Red Red Red Red Purple Purple Purple Purple Red Red Red Red Red Red Red 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 Purple Purple Purple Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Gray Gray Gray Gray Red Red Red Red Purple Purple Purple Purple
Purple Purple Purple Purple Gray Gray Gray Gray Red Red Red Red Purple Purple Purple Purple
Purple Purple Purple Purple Gray Gray Gray Gray Red Red Red Red Purple Purple Purple Purple
Purple Purple Purple Purple Gray Gray Gray Gray Red Red Red Red Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Gray Gray Gray Gray Yellow Yellow Yellow Yellow Red Red Red Red
Yellow Yellow Yellow Yellow Gray Gray Gray Gray Yellow Yellow Yellow Yellow Red Red Red Red
Yellow Yellow Yellow Yellow Gray Gray Gray Gray Yellow Yellow Yellow Yellow Red Red Red Red
Yellow Yellow Yellow Yellow Gray Gray Gray Gray Yellow Yellow Yellow Yellow Red Red Red Red
Yellow Yellow Yellow Yellow Gray Gray Gray Gray Yellow Yellow Yellow Yellow Red Red Red Red
Yellow Yellow Yellow Yellow Gray Gray Gray Gray Yellow Yellow Yellow Yellow Red Red Red Red
Yellow Yellow Yellow Yellow Gray Gray Gray Gray Yellow Yellow Yellow Yellow Red Red Red Red
Yellow Yellow Yellow Yellow Gray Gray Gray Gray Yellow Yellow Yellow Yellow Red Red Red Red
Purple Purple Purple Purple Gray Gray Gray Gray Red Red Red Red Purple Purple Purple Purple
Purple Purple Purple Purple Gray Gray Gray Gray Red Red Red Red Purple Purple Purple Purple
Purple Purple Purple Purple Gray Gray Gray Gray Red Red Red Red Purple Purple Purple Purple
Purple Purple Purple Purple Gray Gray Gray Gray Red Red Red Red Purple Purple Purple Purple
Purple Purple Purple Purple Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple
```
assistant