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

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


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

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


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

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


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

```
Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Purple Gray Black Blue Black
Black Black Black Black Black Brown Purple Black Black Blue
Black Black Black Black Black Blue Black Black Black Red
Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Gray Black Blue Black Black
Black Black Black Black Black Black Blue Black Brown Purple
Black Black Black Black Black Black Red Black Black Blue
Black Black Black Black Black Black Blue Brown Purple Red
Black Black Black Black Black Purple Purple Purple Purple Purple
```
assistant