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:
Brown Blue Orange Brown Brown Blue Yellow Yellow Yellow
Orange Orange Yellow Blue Yellow Yellow Brown Yellow Yellow
Yellow Brown Blue Yellow Brown Yellow Brown Yellow Orange
Orange Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Orange Orange Yellow Blue Yellow Blue Blue Blue Yellow
Orange Orange Brown Brown Blue Orange Yellow Yellow Yellow
Brown Blue Yellow Yellow Brown Blue Brown Brown Blue
Orange Orange Brown Brown Yellow Blue Blue Blue Yellow
Blue Yellow Orange Blue Yellow Yellow Blue Yellow Orange

Output:
Orange
Brown
Blue
Yellow


Example 2
Input:
Orange Brown Orange Purple Orange Purple Yellow
Purple Purple Yellow Purple Brown Purple Purple
Purple Purple Yellow Purple Purple Orange Orange
Yellow Orange Yellow Purple Brown Yellow Purple
Brown Yellow Brown Yellow Orange Orange Purple
Purple Orange Purple Orange Orange Purple Purple
Yellow Yellow Purple Purple Yellow Brown Orange
Purple Yellow Brown Orange Yellow Brown Brown
Brown Purple Purple Yellow Brown Yellow Brown
Yellow Brown Yellow Orange Orange Purple Purple

Output:
Brown
Orange
Yellow
Purple


Example 3
Input:
Yellow Gray Gray Yellow Gray Yellow
Brown Blue Blue Yellow Brown Brown
Blue Brown Yellow Yellow Yellow Blue
Yellow Brown Brown Brown Yellow Gray
Brown Blue Brown Brown Brown Brown
Brown Brown Blue Gray Yellow Gray
Brown Brown Brown Blue Gray Brown
Brown Yellow Yellow Gray Yellow Brown
Brown Yellow Yellow Yellow Brown Yellow

Output:
Blue
Gray
Yellow
Brown


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


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
Red
Gray
Green
```
assistant