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 Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Black
Black Black Gray Black Black Black Gray Black Black Black
Black Black Black Black Black Black Blue Black Blue Gray
Black Black Black Black Black Gray Black Gray Gray Gray
Black Black Black Black Black Black Black Black Black Black
Gray Black Gray Gray Black Black Blue Black Gray Gray
Black Gray Gray Gray Gray Black Black Black Gray Black
Black Black Black Black Black Black Gray Black Blue Black
Black Black Black Black Black Black Gray Black Black Black

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


Example 2
Input:
Black Black Black Black Black Black Black Gray Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Gray Black Black Black Black Black Black Black Gray
Black Blue Black Gray Black Black Black Black Black Black
Black Black Blue Gray Black Black Black Black Black Black
Gray Blue Gray Black Black Black Black Blue Black Gray
Gray Black Black Gray Black Black Black Black Gray Gray
Black Gray Black Black Gray Gray Black Gray Black Black
Black Black Black Black Gray Gray Black Black Gray Gray
Black Black Black Black Black Black Black Black Black Black

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


Example 3
Input:
Black Black Black Black Gray Black Black Blue Gray Black
Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Black Gray Black Black Black
Black Black Blue Black Black Gray Black Black Black Black
Black Gray Black Black Black Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray
Black Black Gray Black Gray Blue Black Black Black Black
Gray Gray Black Gray Black Gray Black Black Black Gray
Black Black Gray Gray Blue Gray Black Black Black Black
Gray Black Black Blue Black Black Gray Black Black Black

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


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