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 Gray Yellow Blue Blue Blue Blue Yellow Gray Purple Purple
Gray Purple Gray Blue Blue Gray Gray Blue Blue Gray Purple Gray
Blue Purple Gray Brown Gray Brown Brown Gray Brown Gray Purple Blue
Yellow Blue Brown Blue Blue Blue Blue Blue Blue Brown Blue Yellow
Yellow Brown Gray Purple Gray Yellow Yellow Gray Purple Gray Brown Yellow
Blue Purple Gray Brown Gray Yellow Yellow Gray Brown Gray Purple Blue
Gray Blue Blue Brown Blue Gray Gray Blue Brown Blue Blue Gray
Purple Yellow Blue Blue Brown Yellow Yellow Brown Blue Blue Yellow Purple

Output:
Yellow


Example 2
Input:
Orange Pink Purple Purple Pink Pink Purple Purple Pink Orange
Green Green Purple Purple Purple Purple Purple Purple Green Green
Gray Green Pink Pink Green Green Pink Pink Green Gray
Gray Green Gray Green Purple Purple Green Gray Green Gray
Gray Orange Green Orange Green Green Orange Green Orange Gray
Orange Purple Green Gray Orange Orange Gray Green Purple Orange
Purple Pink Green Pink Purple Purple Pink Green Pink Purple

Output:
Purple


Example 3
Input:
Brown Gray Gray Brown Purple Gray Brown Purple Blue
Brown Purple Gray Blue Red Blue Purple Gray Brown
Blue Purple Blue Blue Brown Gray Brown Red Brown
Brown Brown Red Red Purple Red Blue Purple Red
Blue Gray Red Gray Purple Red Gray Brown Purple
Red Brown Red Purple Gray Blue Brown Blue Gray
Red Brown Purple Blue Red Brown Blue Brown Brown
Red Blue Blue Red Purple Red Red Gray Purple
Blue Brown Blue Gray Red Blue Purple Gray Red

Output:
Gray


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

```
Gray
```
assistant