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

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


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

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


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

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


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

```
Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black
Gray Green Green Green Green Gray Black Black Black Black Black Black Black Black Black
Gray Green Gray Gray Green Gray Black Black Black Black Black Black Black Black Black
Gray Green Green Green Green Gray Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Gray 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 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 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 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 Black Black Black Black Black Black Black
```
assistant