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

Output:
Black Black Black Black Black Yellow Black Black Black Black
Black Black Black Black Black Yellow Black Black Black Black
Black Black Brown Black Black Yellow Black Black Black Black
Black Black Brown Black Black Yellow Black Red Black Green
Black Black Brown Black Black Yellow Black Purple Black Green
Black Black Brown Black Black Yellow Blue Purple Orange Green
Black Black Brown Black Orange Yellow Blue Purple Orange Green
Black Black Black Black Black Yellow Black Black Black Black
Orange Black Black Black Black Yellow Purple Pink Black Black
Orange Black Black Black Black Yellow Purple Pink Black Black


Example 2
Input:
Black Black Black Black Red Green Black Black Black Black
Black Black Orange Black Black Green Black Black Black Black
Black Black Red Black Black Green Black Black Black Black
Black Black Black Purple Black Green Black Black Black Black
Black Black Black Black Black Green Black Black Black Black
Black Black Black Black Black Green Black Black Black Black
Purple Black Black Blue Black Green Black Black Black Blue
Black Black Black Black Black Green Black Black Black Black
Black Black Black Black Blue Green Black Brown Black Black
Brown Black Black Black Black Green Black Black Black Black

Output:
Black Black Black Black Red Green Black Black Black Black
Black Black Orange Black Red Green Black Black Black Black
Black Black Red Black Red Green Black Black Black Black
Black Black Red Purple Red Green Black Black Black Black
Black Black Red Purple Red Green Black Black Black Black
Black Black Red Purple Red Green Black Black Black Black
Purple Black Red Blue Red Green Black Black Black Blue
Black Black Black Black Black Green Black Black Black Black
Brown Black Black Black Blue Green Black Brown Black Black
Brown Black Black Black Black Green Black Black Black Black


Example 3
Input:
Black Black Black Black Black Green Black Black Yellow Black
Black Black Black Black Black Green Black Black Black Black
Black Black Black Black Black Green Black Blue Black Black
Black Orange Black Black Black Green Black Black Black Black
Black Black Black Black Black Green Black Black Gray Black
Black Black Black Black Black Green Black Black Black Black
Black Black Black Black Red Green Black Orange Black Black
Black Black Black Purple Black Green Black Black Black Red
Black Black Black Black Black Green Black Black Black Black
Black Black Blue Black Black Green Black Black Black Blue

Output:
Black Black Black Black Black Green Black Black Yellow Black
Black Black Black Black Black Green Black Black Yellow Black
Black Black Black Black Black Green Black Blue Yellow Black
Black Orange Black Black Black Green Black Blue Yellow Black
Black Orange Black Black Black Green Black Blue Gray Black
Black Orange Black Black Black Green Black Blue Gray Black
Black Orange Black Black Red Green Black Orange Gray Black
Black Black Black Purple Black Green Black Black Black Red
Black Black Blue Black Black Green Black Black Black Blue
Black Black Blue Black Black Green Black Black Black Blue


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


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 Gray Black Black Black Black
Black Black Black Black Black Gray Black Purple Black Black
Black Black Black Black Black Gray Black Purple Black Black
Purple Black Black Black Black Gray Black Purple Black Black
Purple Black Black Black Black Gray Black Purple Black Black
Purple Black Black Black Black Gray Black Purple Black Pink
Purple Black Black Black Black Gray Black Purple Black Pink
Purple Black Black Black Black Gray Black Purple Green Pink
Orange Black Black Black Yellow Gray Black Purple Brown Pink
Black Black Black Black Blue Gray Black Black Black Blue
```
assistant