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 Purple Black Black Orange Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Purple Purple Purple Purple Orange Orange Orange Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Purple Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Purple Purple Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Purple Purple Purple Orange Orange Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Purple Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Purple Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Purple Purple 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black 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 Purple Black Black Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple
Black Black Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Purple Purple Purple Black Black Black Orange Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black
Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Purple Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black
Black Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black
Black Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple 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


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 Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Black Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Pink Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Pink Pink Pink Pink Pink Pink Pink Purple Brown Brown Brown Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black Black Black Black Black
Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Purple Blue Purple Purple Black Black Black Black Black Black Black
Black Black Black Pink Pink Pink Pink Pink Pink Pink Purple Purple Brown Purple Blue Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Blue Blue Blue Blue Blue Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Pink Black Black Purple Black Black Blue Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black 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

Output:
Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Black Black Black Black Black Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Purple Black Black Black Purple Purple Purple Purple Purple 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 Purple Black Purple Purple Black Black
Black Black Black Black Black Black Black Purple Purple Black Purple 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 Purple 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 Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Black Pink Pink Pink Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Pink Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Green Green Green Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Green Green Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Green Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Purple Black Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Black Purple 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 Black Black Black Black 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 Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Gray Gray Gray Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Black Black Black Black Gray Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Brown Purple Purple
Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Pink Pink Pink Brown Brown Brown Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown Pink Brown Brown Brown Brown Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Brown Brown Brown Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:

```
Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Black
Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Black
Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple
Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black
Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black
Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Purple Purple Purple 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 Black Black Black
Black Black Black Black Black Black Pink Purple Black Black Black Black Black Black Black
```
assistant