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 Black Black Black Black Black
Black Green Black Black Black Black Black Black Black Black
Green Green Green Black Black Black Red Red Red Black
Black Green Black Black Black Black Red Red Red Black
Black Black Black Black Black Black Red Black Red Black
Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Purple Black Black Gray
Red Red Red Black Black Black Purple Black Black Black
Black Red Red Black Black Black Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Black

Output:
Gray


Example 2
Input:
Black Black Pink Black Black Black Black Black Black Black
Black Pink Pink Pink Black Black Gray Black Black Black
Black Black Pink Black Black Gray Gray Gray Black Black
Black Black Black Black Black Black Gray Black Black Black
Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Black Black Black
Black Black Black Gray Black Red Red Red Black Black
Black Black Orange Black Black Black Red Black Black Black
Black Orange Orange Orange Black Black Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black

Output:
Black Gray Black
Gray Gray Gray
Black Gray Black


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

Output:
Black Gray Gray
Gray Gray Gray
Gray Gray 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 Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Red Red
Black Black Black Black Black Black Black Red Black Red
Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black
Pink Black Black Black Black Black Gray Black Black Black
Pink Black Black Black Black Black Black Purple Purple Black
Pink Pink Pink Black Black Black Black Purple Purple Purple
Black Black Black Black Black Black Black Black Purple Purple


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:

```
Gray
```
assistant