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 Black Pink Pink Black Pink Black Black Green Green Black Black Purple Purple Purple Purple
Black Black Pink Black Black Black Black Green Black Green Black Black Black Purple Black Black
Purple Black Pink Black Black Pink Black Green Green Green Black Black Purple Purple Purple Purple
Purple Black Black Black Black Pink Black Green Black Black Green Black Black Purple Purple Purple
Black Black Black Black Pink Pink Black Black Black Black Green Black Black Black Purple Black
Black Black Black Pink Pink Black Black Green Green Green Green Black Black Purple Purple Purple
Purple Black Black Pink Black Pink Black Green Black Black Black Black Black Black Black Black
Black Black Pink Black Black Black Black Green Black Black Green Black Black Black Black Black
Purple Black Pink Pink Pink Black Black Black Green Black Black Black Black Purple Purple Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Black Red Black Red Black Black Red Black Red Black Black Orange Orange Black Black
Black Black Red Red Black Black Black Red Red Black Red Black Orange Black Orange Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black Black Green Black Black
Blue Black Purple Purple Purple Black Black Pink Pink Pink Pink Black Black Black Green Black
Black Black Black Black Purple Purple Black Black Pink Black Pink Black Black Green Green Green
Blue Black Purple Purple Purple Black Black Black Pink Black Black Black Black Green Green Black
Blue Black Black Purple Purple Purple Black Pink Pink Black Pink Black Green Green Green Green
Blue Black Black Black Black Black Black Pink Pink Black Pink Black Green Green Green Black

Output:
Purple
Pink
Pink
Green
Purple
Purple
Pink
Green
Purple
Pink
Pink
Green
Purple
Green
Purple
Pink
Red
Red
Red
Red
Orange
Red
Orange
Purple
Green
Blue
Pink
Green
Blue
Pink


Example 2
Input:
Gray Gray Black Black Black Black Blue Black Blue Blue Black Black Blue Blue Black Blue Blue
Gray Black Black Black Black Black Black Black Blue Blue Blue Blue Black Blue Black Black Blue
Gray Gray Black Black Black Blue Blue Black Blue Black Blue Black Blue Black Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Black Black Pink Black Pink Pink Pink Pink Black Pink Black Black Black Black Pink
Yellow Yellow Black Black Pink Black Pink Black Pink Pink Pink Black Pink Black Black Pink Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Brown Brown Black Black Black Yellow Black Black Black Yellow Yellow Black Black Black Yellow Yellow
Brown Brown Brown Black Black Black Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black Yellow
Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Black Black Yellow Yellow Black Yellow Black Yellow Black
Brown Brown Brown Black Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Yellow Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Black Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink
Black Blue Blue Black Black Pink Pink Pink Pink Black Black Black Pink Pink Black Black Black

Output:
Gray
Blue
Blue
Blue
Blue
Blue
Blue
Blue
Yellow
Pink
Pink
Pink
Pink
Pink
Pink
Brown
Yellow
Yellow
Yellow
Yellow
Yellow
Yellow
Yellow
Brown
Yellow
Blue
Pink
Pink


Example 3
Input:
Black Pink Black Black Black Black Red Red Black Black Red Black Black Black Gray Black Black
Black Pink Pink Black Red Red Black Red Red Red Black Black Black Gray Gray Black Gray
Pink Pink Black Black Red Red Black Red Red Black Black Black Black Gray Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Green Green Green Black Black Black Black Brown Brown Black
Purple Black Purple Black Black Black Black Black Black Black Green Green Black Black Brown Brown Brown
Black Black Black Black Black Black Green Black Green Green Black Green Black Black Black Brown Black
Purple Black Purple Black Green Black Black Green Green Black Black Green Black Brown Brown Brown Black
Black Black Black Black Green Green Green Black Green Black Black Black Black Brown Brown Brown Brown
Black Purple Purple Black Black Green Green Black Black Green Black Black Black Black Black Black Black
Purple Black Purple Black Green Green Black Green Black Green Black Green Black Black Brown Black Black
Purple Purple Black Black Green Green Black Black Black Green Black Black Black Black Black Black Black
Black Purple Purple Black Black Green Black Green Green Green Green Black Black Black Brown Brown Brown
Purple Black Purple Black Black Black Green Green Green Black Green Black Black Brown Brown Brown Brown
Purple Black Purple Black Green Black Green Green Green Green Green Green Black Black Brown Brown Black
Purple Purple Black Black Green Green Green Green Green Green Black Black Black Black Black Black Brown
Black Purple Black Black Black Black Black Black Black Black Black Black Black Brown Black Brown Brown

Output:
Pink
Red
Red
Gray
Red
Gray
Purple
Green
Brown
Purple
Green
Green
Green
Purple
Purple
Green
Purple
Green
Purple
Green
Green
Brown
Brown
Purple
Brown
Brown


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


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
Blue
Gray
Purple
Purple
Blue
Yellow
Orange
Yellow
Purple
Yellow
Orange
Gray
Gray
Red
Gray
Gray
Orange
Gray
Gray
Orange
Gray
Red
Gray
Orange
```
assistant