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

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


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

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


Example 3
Input:
Black Black Black Blue Blue Black Black Purple Black Black
Black Black Black Blue Blue Black Purple Purple Purple Black
Black Blue Black Black Black Black Black Purple Black Black
Black Black Black Black Black Yellow Black Black Black Black
Black Black Black Black Black Pink Black Black Blue Blue
Purple Purple Black Yellow Pink Pink Black Black Blue Blue
Purple Purple 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 Blue Black
Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Black Blue Blue Black Black Purple Black Black
Black Black Black Blue Blue Black Purple Purple Purple Black
Black Blue Black Black Black Black Black Purple Black Black
Black Black Black Yellow Black Yellow Black Black Black Black
Black Black Black Pink Black Pink Black Black Blue Blue
Purple Purple Black Pink Pink Yellow Black Black Blue Blue
Purple Purple 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 Blue Black
Black Black Black Black Black Black Black Black 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 Blue Black Black Blue Blue Black
Black Black Blue Blue Black Blue Black Blue Blue Black
Black Blue Blue Pink Black Black Black Black Black Black
Black Blue Pink Black Black Black Black Black Black Black
Black Black Black Black Black Yellow Blue Black Black Black
Black Black Black Black Black Black Yellow Black Black Black
Gray Gray Black Blue Blue Black Black Black Black Black
Yellow Gray Black Blue Blue Black Black Blue Black Black
Black Black Blue Black Black 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 Black Black
Black Black Black Black Blue Black Black Blue Blue Black
Black Blue Blue Blue Black Blue Black Blue Blue Black
Black Pink Blue Blue Black Black Black Black Black Black
Black Blue Pink Blue Black Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Black Black Black
Black Black Black Black Black Yellow Blue Black Black Black
Yellow Gray Black Blue Blue Black Black Black Black Black
Gray Gray Black Blue Blue Black Black Blue Black Black
Black Black Blue Black Black Black Black Black Black Black
```
assistant