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 Blue Black Black
Black Black Black Black Black Black Black Black Black Blue
Black Black Red Black Black Black Blue Blue Black Black
Black Black Black Yellow Yellow Black Black Yellow Black Black
Black Black Black Black Black Red Black Black Red Black
Black Black Black Yellow Red Black Blue Red Black Black
Black Black Black Black Blue Black Yellow Blue Blue Black
Black Black Black Black Red Black Red Yellow Black Black
Black Black Yellow Black Black Black Blue Yellow Black Red
Red Black Yellow Black Red Yellow Blue Black Black Black

Output:
Black Black Black Black Black Black Black Gray Black Black
Black Black Black Black Black Black Black Black Black Gray
Black Black Gray Black Black Black Gray Gray Black Black
Black Black Black Gray Gray Black Black Gray Black Black
Black Black Black Black Black Gray Black Black Gray Black
Black Black Black Gray Gray Black Gray Gray Black Black
Black Black Black Black Gray Black Gray Gray Gray Black
Black Black Black Black Gray Black Gray Gray Black Black
Black Black Gray Black Black Black Gray Gray Black Gray
Gray Black Gray Black Gray Gray Gray Black Black Black


Example 2
Input:
Black Black Black Black Black Black Black Red Black Black
Black Black Yellow Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Yellow
Blue Black Black Blue Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black
Yellow Black Yellow Black Black Black Red Black Black Black
Red Black Black Black Black Black Black Black Yellow Red
Black Black Black Black Black Black Black Yellow Black Black
Black Black Black Black Yellow Yellow Black Black Blue Red
Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Black Gray Black Black
Black Black Gray Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Gray Black Black Black Black Black Black
Black Gray Black Black Black Black Black Black Black Black
Gray Black Gray Black Black Black Gray Black Black Black
Gray Black Black Black Black Black Black Black Gray Gray
Black Black Black Black Black Black Black Gray Black Black
Black Black Black Black Gray Gray Black Black Gray Gray


Example 3
Input:
Black Black Black Black Black Black Blue Black Red Black
Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Black Black Black
Black Blue Black Black Black Red Black Black Black Black
Black Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red
Black Black Yellow Black Red Black Black Black Black Black
Blue Black Black Red Black Yellow Black Black Black Red
Black Black Black Blue Black Black Black Black Black Black
Blue Black Red Black Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Gray Black Gray Black
Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Black Black Black
Black Gray Black Black Black Gray Black Black Black Black
Black Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray
Black Black Gray Black Gray Black Black Black Black Black
Gray Black Black Gray Black Gray Black Black Black Gray
Black Black Black Gray Black Black Black Black Black Black
Gray Black Gray Black Black Black Black Black Black Black


Here is the input grid for the test example:
Input:
Black Yellow Black Blue Black Red Yellow Black Black Black
Black Black Black Black Black Red Black Red Black Black
Black Black Red Black Black Red Black Black Black Blue
Yellow Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Black Black Black
Black Black Black Black Red Yellow Black Red Yellow Yellow
Yellow Black Black Yellow Black Red Black Black Black Black
Black Black Yellow Black Black Black Black Red Black Black
Yellow Black Black Blue Red Black Blue Black Black Black
Black Red Black Black Yellow Black Black Black Yellow 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 Gray Black Gray Black Gray Gray Black Black Black
Black Black Black Black Black Gray Black Gray Black Black
Black Black Gray Black Black Gray Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Black Black Black
Black Black Black Black Gray Gray Black Gray Gray Gray
Gray Black Black Gray Black Gray Black Black Black Black
Black Black Gray Black Black Black Black Gray Black Black
Gray Black Black Gray Gray Black Gray Black Black Black
Black Gray Black Black Gray Black Black Black Gray Black
```
assistant