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 Blue 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 Black Black Black Blue Black Black Black Black Black Black Brown Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Blue Black Black Black Black Black Purple Purple Purple Purple Black Black
Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Blue Black Black Black Black Black Black Black Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue 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 Black Black Blue Blue Blue Black Black Black Black Brown Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black
Black Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Purple Purple Black Black
Black Black Black Black Blue Blue Blue Black Black Black Black Black Purple Purple Purple Purple Black
Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Black 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:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black 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 Black Black Black Gray Black Black Black Black Black Black Black
Black Black Gray Black Black Black Gray Gray Gray Black Brown Black Black Black Black
Black Black Black Black Black Black Black Gray Purple Brown Brown Brown Black Black Black
Black Black Black Black Black Brown Black Purple Purple Purple Brown Black Gray Black Black
Black Gray Black Black Brown Brown Brown Black Purple Black Black Gray Gray Gray Black
Gray Gray Gray Black Black Brown Black Black Black Black Black Black Gray Black Black
Black Gray 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 Black Black Black Black Black
Black Black Black Black 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 Gray Gray Gray Black Black Gray Gray Gray Black Black Black Black Black Black
Black Gray Gray Gray Black Black Gray Gray Gray Brown Brown Brown Black Black Black
Black Black Black Black Black Black Gray Purple Purple Purple Brown Brown Black Black Black
Black Black Black Black Brown Brown Brown Purple Purple Purple Brown Gray Gray Gray Black
Gray Gray Gray Black Brown Brown Brown Purple Purple Purple Black Gray Gray Gray Black
Gray Gray Gray Black Brown Brown Brown Black Black Black Black Gray Gray Gray Black
Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown
Black Green Black Black Black Black Black Black Black Black Black Black Black Black Brown Black
Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black
Black 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 Green Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black 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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown
Green Green Green Black Black Black Black Black Black Black Black Black Black Brown Brown Brown
Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Green Green 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


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 Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Green Yellow Black Black Black Black Black Black
Black Black Black Black Black Green Yellow Yellow Yellow Black Black Black Black Black
Black Blue Black Black Black Black Black Yellow Black Black Black Black Black Black
Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black
Black Blue Black Black Yellow Black Black Black Black Black Black Black Black Black
Black Black Black Yellow Yellow Yellow Black Black Black Yellow Black Black Black Black
Black Black Black Black Yellow Black Black Black Yellow Yellow Yellow Black Black Black
Black Black Black Black Black Black Black Black Black Yellow 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 Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black 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 Green Green Black Black Black Black Black Black Black
Black Black Black Black Green Green Yellow Yellow Yellow Black Black Black Black Black
Black Black Black Black Green Green Yellow Yellow Yellow Black Black Black Black Black
Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black
Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black
Black Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black
```
assistant