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 Pink Pink Pink Pink Black Black Black Black Black Black
Black Pink Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Black
Black Gray Gray Gray Black Pink Pink Pink Pink Black Black Pink Pink Pink Black
Black Gray Gray Gray Black Pink Pink Pink Pink Black Black Pink Pink Pink Black
Black Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray
Orange Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray
Red Red Red Black Black Orange Black Black Pink Black Black Black Gray Gray Gray
Red Red Red Pink Pink Pink Black Black Black Black Black Black Gray Gray Gray
Red Red Red Pink Pink Pink Black Black Black Black Black Black Black Black Black
Black Black Green Pink Pink Pink Black Black Black Black Yellow Black Black Black Black
Purple Black Black Pink Pink Pink Black Black Black Black Black Purple Black Black Black

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black
Black Pink Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Black
Black Gray Gray Gray Black Pink Pink Pink Pink Black Black Pink Pink Pink Black
Black Gray Gray Gray Black Pink Pink Pink Pink Black Black Pink Pink Pink Black
Black Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray
Orange Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray
Red Red Red Black Black Orange Black Black Black Black Black Black Gray Gray Gray
Red Red Red Pink Pink Pink Black Black Black Black Black Black Gray Gray Gray
Red Red Red Pink Pink Pink Black Black Black Black Black Black Black Black Black
Black Black Green Pink Pink Pink Black Black Black Black Black Black Black Black Black
Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black


Example 2
Input:
Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Brown
Black Black Black Pink Black Black Black Black Brown Brown Brown Brown Black Black Black Black
Black Black Black Black Black Black Gray Black Brown Brown Brown Brown Brown Brown Brown Black
Black Purple Purple Purple Purple Purple Black Black Brown Brown Brown Brown Brown Brown Brown Black
Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Pink
Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Black
Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Black Black Brown Brown Brown Black
Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Black Black Brown Orange Black Black
Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Pink Pink Pink Pink Black Black
Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Black Black
Pink Pink Pink Pink Pink Black Black Blue Black Black Pink Pink Pink Pink 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 Brown Brown Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black
Black Purple Purple Purple Purple Purple Black Black Brown Brown Brown Brown Brown Brown Brown Black
Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Pink
Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Black
Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Black Black Brown Brown Brown Black
Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Black Black Brown Orange Black Black
Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Pink Pink Pink Pink Black Black
Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Black Black
Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Black Black
Black Black Black Black 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 Orange Black Black
Black Black Black Black Black Black Black Purple Purple Purple 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 Brown Purple Purple Purple Black Orange 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 Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black
Black Black Black Black Black Gray Gray Gray Gray Black Brown Brown Brown Brown Black
Black Black Black Black Black Gray Gray Gray Gray Black Brown Brown Brown Brown Black
Purple Purple Purple Purple Black Gray Gray Gray Gray Black Black Gray Green Black Black
Purple Purple Purple Purple Black Gray Gray Gray Gray Black Black Black Black Black Black
Purple Purple Purple Purple Black Gray Gray Gray Gray 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 Brown Brown Brown Brown Purple Purple Purple Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Purple Purple Purple Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Black Black Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Brown 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 Purple Purple Purple 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 Brown Purple Purple Purple 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 Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black
Black Black Black Black Black Gray Gray Gray Gray Black Brown Brown Brown Brown Black
Black Black Black Black Black Gray Gray Gray Gray Black Brown Brown Brown Brown Black
Purple Purple Purple Purple Black Gray Gray Gray Gray Black Black Gray Green Black Black
Purple Purple Purple Purple Black Gray Gray Gray Gray Black Black Black Black Black Black
Purple Purple Purple Purple Black Gray Gray Gray Gray 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 Brown Brown Brown Brown Purple Purple Purple Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Purple Purple Purple Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Brown Brown 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 Brown Black Purple Purple Purple Purple Black Gray Black Black
Black Gray Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black
Gray Gray Gray Black Black Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black
Gray Gray Gray Black Black Yellow Yellow Yellow Purple Purple Purple Purple Black Black Orange Black
Gray Gray Gray Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Gray Gray Gray Black Black Yellow Yellow Yellow Black Black Black Gray Gray Gray Gray Gray
Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray
Black Black Black Black Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray
Black Black Black Black Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray
Black Black Black Black Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray


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 Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black
Gray Gray Gray Black Black Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black
Gray Gray Gray Black Black Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black
Gray Gray Gray Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Gray Gray Gray Black Black Yellow Yellow Yellow Black Black Black Gray Gray Gray Gray Gray
Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray
Black Black Black Black Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray
Black Black Black Black Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray
Black Black Black Black Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray
```
assistant