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 Brown Brown Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Blue Brown Brown Blue Black Black Black Black Black Black Black Black
Black Black Gray Gray Black Purple Brown Brown Purple Black Black Black Black Black Black Black Black
Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Green Green Black Black Black Black Gray Purple Purple Gray Black Black
Black Black Black Black Black Black Black Black Black Black Black Pink Purple Purple Pink Black Black
Black Black Brown Black Black Black Black Black Black Black Black Brown Purple Purple Brown Black Black
Black Brown Blue Brown Black Black Black Black Black Black Black Black Purple Purple Black Black Black
Black Black 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 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 Brown Brown Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Blue Brown Brown Blue Black Black Black Black Black Black Black Black
Black Black Gray Gray Black Purple Brown Brown Purple Black Black Black Black Black Black Black Black
Black Black 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 Gray Purple Purple Gray Black Black
Black Black Black Black Black Black Black Black Black Black Black Pink Purple Purple Pink Black Black
Black Black Black Black Black Black Black Black Black Black Black Brown Purple Purple Brown Black Black
Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black


Example 2
Input:
Black Gray Gray Black Black 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 Black Black Black Black Black Black
Black Black Blue Blue Black Black 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 Black Black Black Black Black
Black Black Black Black Blue Brown Black Black Black Black Black Black
Black Black Black Black Black Brown Orange Orange Black Black Black Black
Black Black Black Black Black Black Orange Brown Black Black Black Black
Black Black Black Black Black Black Green 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 Blue Blue Black Black 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 Black Black Black Black Black
Black Black Black Black Blue Brown Black Black Black Black Black Black
Black Black Black Black Black Brown Orange Orange Black Black Black Black
Black Black Black Black Black Black Orange Brown Black Black Black Black
Black Black Black Black Black Black Green Black Black Black Black Black


Example 3
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 Orange Orange Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Blue Pink Purple Black Black Black Black Black Orange Orange Gray Black
Yellow Yellow Black Yellow Gray Purple Purple Black Black Black Black Black Yellow Yellow Black
Blue Blue Black Yellow Gray Purple Purple Black Black Black Black Orange Orange Gray Black
Black Black Black Blue Pink 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 Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Blue Pink Purple Black Black Black Black Black Orange Orange Gray Black
Green Green Black Yellow Gray Purple Purple Black Black Black Black Black Yellow Yellow Black
Green Green Black Yellow Gray Purple Purple Black Black Black Black Orange Orange Gray Black
Black Black Black Blue Pink 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 Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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 Blue Blue Black
Black Black Black Black Black Black Black Blue Blue Black
Black Black Black Black Black Black Black Black Black Black
Orange Black Orange Black Purple Purple Purple Purple Black Black
Purple Purple Purple Black Purple Black Black Black Black Black
Gray Black Gray Black Yellow Black Black Black Black Black
Black Black Black Black Yellow Black Black Black Black 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 Blue Blue 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 Blue Blue Black
Black Black Black Black Black Black Black Blue Blue Black
Black Black Black Black Black Black Black Black Black Black
Orange Black Orange Black Black Black Black Black Black Black
Purple Purple Purple Black 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
Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black
```
assistant