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:
Black Black Black Black Black Gray Gray Gray Black Black Black Black
Black Black Black Black Black Gray Gray Gray Black Black Black Black
Black Black Blue Blue Blue Gray Gray Gray Black Black Black Black
Black Black Blue Blue Blue Black Black Black Black Black Black Black
Black Black Blue Blue Blue Yellow Yellow Yellow Black Gray Gray Gray
Black Black Black Brown Brown Yellow Yellow Yellow Black Gray Gray Gray
Black Black Black Brown Brown Yellow Yellow Yellow Purple Gray Gray Gray
Black Black Black Brown Brown Brown Black Black Purple Gray Gray Gray
Black Black Black Black Black Black Black Black Purple Gray Gray Gray
Black Black Black Black Black Brown Brown Yellow Yellow Yellow Black Black
Black Black Black Black Black Brown Brown Yellow Yellow Yellow Brown Black
Black Black Black Black Black Brown Blue Blue Blue Yellow Brown Black
Black Black Black Black Black Black Blue Blue Blue Brown Brown Black
Black Black Black Black Black Black Blue Blue Blue Black Black Black

Output:
Gray
Gray
Gray
Gray
Blue
Blue
Yellow
Black
Black
Black


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

Output:
Purple
Green
Green
Green
Green
Pink
Gray
Black
Black
Black


Example 3
Input:
Black Black Black Black Black Black Black Blue Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Black Blue Yellow Yellow Yellow Pink Black
Pink Pink Pink Black Black Black Black Blue Yellow Yellow Yellow Yellow Yellow
Pink Pink Pink Gray Gray Gray Blue Blue Blue Pink Yellow Yellow Yellow
Pink Pink Pink Gray Gray Gray Blue Blue Blue Black Yellow Yellow Yellow
Black Black Black Gray Gray Gray Blue Blue Blue Green Green Green Black
Black Black Black Black Green Green Green Pink Pink Green Green Green Black
Yellow Yellow Yellow Black Green Green Green Pink Pink Green Green Green Black
Yellow Yellow Yellow Black Green Green Green Pink Pink Pink Black Black Black
Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Yellow
Yellow
Yellow
Pink
Gray
Blue
Green
Green
Black
Black


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


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:

```
Blue
Blue
Red
Purple
Black
Black
Black
Black
Black
Black
```
assistant