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 Orange Yellow Gray Brown Orange Yellow Gray Brown Orange Yellow
Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange
Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown
Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Orange Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange
Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown
Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange
Brown Orange Yellow Gray Brown Orange Yellow Gray Brown Orange Brown

Output:
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown


Example 2
Input:
Orange Blue Pink Purple Orange Blue Pink Purple Orange
Purple Gray Gray Gray Gray Black Gray Black Purple
Pink Gray Gray Gray Black Gray Gray Gray Pink
Blue Gray Gray Gray Gray Gray Gray Gray Blue
Orange Gray Gray Gray Gray Gray Gray Gray Orange
Purple Gray Gray Gray Gray Gray Gray Gray Purple
Pink Gray Gray Gray Black Gray Gray Gray Pink
Blue Gray Gray Gray Gray Black Gray Black Blue
Orange Blue Pink Purple Orange Blue Pink Purple Orange

Output:
Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Black Orange Black Orange
Orange Orange Orange Orange Black Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Black Orange Orange Orange Orange
Orange Orange Orange Orange Orange Black Orange Black Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange


Example 3
Input:
Orange Brown Blue Orange Red Brown Blue Orange Red Brown Blue Orange
Blue Black Red Red Black Red Red Red Red Red Red Blue
Brown Red Red Red Red Red Red Black Red Red Red Brown
Red Red Red Red Black Black Red Red Red Red Black Red
Orange Red Red Red Red Red Red Black Red Red Red Orange
Blue Red Red Red Red Red Red Black Red Red Red Blue
Brown Red Red Red Red Red Red Black Red Red Red Brown
Red Red Red Red Red Red Red Black Red Red Red Red
Orange Red Red Red Black Black Red Red Red Red Black Orange
Blue Red Red Red Red Red Red Black Red Red Red Blue
Brown Black Red Red Black Red Red Red Red Red Red Brown
Red Brown Blue Orange Red Brown Blue Orange Red Brown Blue Red

Output:
Red Red Red Red Red Red Red Red Red Red Red Red
Red Black Red Red Black Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Black Red Red Red Red
Red Red Red Red Black Black Red Red Red Red Black Red
Red Red Red Red Red Red Red Black Red Red Red Red
Red Red Red Red Red Red Red Black Red Red Red Red
Red Red Red Red Red Red Red Black Red Red Red Red
Red Red Red Red Red Red Red Black Red Red Red Red
Red Red Red Red Black Black Red Red Red Red Black Red
Red Red Red Red Red Red Red Black Red Red Red Red
Red Black Red Red Black Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red


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

```
Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Black Black Black Gray Gray Gray
Gray Gray Gray Gray Black Gray Gray Gray Gray
Gray Gray Gray Gray Black Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Black Gray Gray Black Gray Gray Black Gray
Gray Black Black Gray Black Gray Black Black Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray
```
assistant