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 Purple Blue Black Black Black Black Red
Black Black Orange Black Black Orange Black Black
Black Black Black Black Black Yellow Black Black
Black Black Blue Black Yellow Black Black Black
Black Pink Black Black Black Black Black Black
Black Yellow Orange Black Black Black Black Black
Black Black Black Purple Black Black Pink Black
Black Black Red Black Black Black Green Black
Black Black Pink Black Black Black Black Black
Black Black Black Black Purple Black Black Purple
Yellow Black Black Black Black Black Black Black
Black Black Black Gray Orange Black Gray Black
Black Purple Black Black Black Black Black Black
Purple Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Black Black
Brown Black Black Black Black Pink Black Black

Output:
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple


Example 2
Input:
Black Black Black Yellow Black Black Black Blue Black Black
Green Black Brown Black Black Black Purple Black Black Brown
Black Black Black Black Black Black Black Black Blue Black
Pink Black Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black
Black Black Black Green Black Black Gray Purple Black Black
Black Yellow Black Black Black Purple Orange Black Gray Black

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


Example 3
Input:
Black Black Black Black Black Black Black Pink Black Black Yellow
Black Black Black Green Blue Black Purple Blue Black Pink Brown
Green Black Blue Brown Black Black Black Blue Black Black Green
Black Black Black Brown Black Black Black Black Black Black Black
Black Black Black Black Green Black Brown Black Black Black Blue
Gray Black Black Gray Black Black Black Black Orange Black Black
Purple Black Black Pink Black Black Pink Black Yellow Black Black

Output:
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue


Here is the input grid for the test example:
Input:
Black Black Black Purple Black Black Red Black Brown
Black Black Black Black Black Black Red Red Black
Black Green Purple Blue Black Black Blue Black Yellow
Black Green Gray Black Blue Pink Orange Black Red
Pink Blue Black Black Yellow Pink Yellow Orange Pink
Brown Black Black Black Red Black Black Black Black
Black Green Black Black Blue Purple Black Black Pink
Black Black Black Blue Purple Orange Black Gray Black
Black Black Yellow Black Orange Yellow Black 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 Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue
```
assistant