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 Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Brown Brown Black Brown Brown Black Black Black
Black Black Black Black Black Brown Brown Black Brown Brown Black Black Black
Black Black Black Black Black Black Brown Purple Brown Black Black Black Black
Black Black Black Black Black Brown Brown Black Brown Brown Black Black Black
Black Black Black Black Black Brown Brown Black Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Black Brown Brown Brown Brown Black Brown Brown Black Black Black
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black
Black Brown Purple Brown Black Black Brown Purple Brown Black Black Black Black
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black
Brown Brown Black Brown Brown Brown Brown Black Brown Brown 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 Black Black Black Black Black Black Black Black
Black Brown Brown Black Brown Brown Black Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Brown
Brown Black Brown Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown
Black Brown Brown Brown Brown Brown Brown Purple Brown Black Brown Purple Brown
Brown Brown Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Black Brown Brown Purple Brown Brown Black Black Brown Brown Purple Brown Brown
Black Brown Brown Purple Brown Brown Black Black Brown Brown Purple Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Brown
Black Brown Purple Brown Black Brown Brown Purple Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Brown Black
Brown Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Brown Brown Black Brown Brown


Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Red Red Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Green Green Brown Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Red Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Red Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Green Red Red
Black Black Black Black Black Black Black Black Black Black Black Green Red Black Red Green Black Black
Black Black Black Black Black Black Black Black Black Red Red Green Red Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Green Green Brown Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Green Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Green 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 Green Red Black Black Green Red Black Black Green Red Black Black Green Red Black
Black Red Red Green Red Red Red Green Red Red Red Green Red Red Red Green Red Black
Black Green Green Brown Green Green Green Brown Green Green Green Brown Green Green Green Brown Green Green
Black Black Red Green Red Red Red Green Red Red Red Green Red Red Red Green Red Red
Black Black Red Green Red Black Red Green Black Black Red Green Black Black Red Green Red Black
Black Red Red Green Red Black Black Black Black Black Black Black Black Red Red Green Red Black
Black Green Green Brown Green Green Black Black Black Black Black Black Black Green Green Brown Green Green
Black Black Red Green Red Red Black Black Black Black Black Black Black Black Red Green Red Red
Black Black Red Green Red Black Black Black Black Black Black Black Black Black Red Green Red Black
Black Red Red Green Red Black Black Black Black Black Black Black Black Red Red Green Red Black
Black Green Green Brown Green Green Black Black Black Black Black Black Black Green Green Brown Green Green
Black Black Red Green Red Red Black Black Black Black Black Black Black Black Red Green Red Red
Black Black Red Green Red Black Black Green Red Black Black Green Red Black Red Green Red Black
Black Red Red Green Red Red Red Green Red Red Red Green Red Red Red Green Red Black
Black Green Green Brown Green Green Green Brown Green Green Green Brown Green Green Green Brown Green Green
Black Black Red Green Red Red Red Green Red Red Red Green Red Red Red Green Red Red
Black Black Red Green Black Black Red Green Black Black Red Green Black Black Red Green Black Black


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

Output:
Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Blue Blue Black Blue Black Blue Black Black Black Black Black Black Black Black Black Black
Black Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Black Black Black Black Black
Black Blue Black Blue Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black
Black Black Black Blue Blue Blue Blue Blue Black Blue Black Blue Black Black Black Black Black Black Black
Black Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Black Black Black Black Black Black Black
Black Black Black Black Blue Black Blue Black Blue Blue 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 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 Black Black Black
Black Black Black Blue Black Black Black Black Black Black
Black Black Black Blue Blue Black Black Black Black Black
Black Blue Blue Blue Blue Blue Black Black Black Black
Black Black Blue Blue Blue Black Black Black Black Black
Black Black Black Blue Black Blue Blue Blue Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Blue Blue Blue Black Black Blue Black 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 Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Blue Blue Black Black Black
Black Blue Blue Blue Blue Blue Blue Blue Black Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Blue Blue Blue Black Blue Blue Blue Black Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Blue Blue Black Blue Blue Black Black Black
```
assistant