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

Output:
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 Purple Black Black Black
Black Black Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Black
Black Black Purple Purple Purple Purple Purple Black Black 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 Black Black Purple Purple Purple Purple Purple Black
Black Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black
Purple Purple Purple Purple Purple Black Purple Purple Purple Black Purple Purple Black Black Black
Black Purple Purple Purple Purple Black Black Purple Black Purple Purple Purple Black Black Black
Black Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Black Black Black
Black Black Purple Purple Purple Black Black Black Black Black Purple Purple Purple Black Black
Black Black Black Purple Black Black Black Black Black Black Black Purple 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 Green Black Black Black Black Black Black Black Black Black
Black Black Orange Black Black Green Green Green Black Black Black Red Black Black Black Black
Black Orange Orange Orange Green Green Green Green Green Red Red Red Red Red Black Black
Orange Orange Orange Orange Orange Green Green Green Black Red Red Red Red Red Black Black
Black Orange Orange Orange Black Yellow Green Black Red Red Red Red Red Red Red Black
Black Black Orange Black Yellow Yellow Yellow Black Black Red Red Red Red Red Black Black
Black Black Black Black Blue Yellow Black Black Black Red Red Red Red Red Black Black
Black Black Black Blue Blue Blue Black Black Black Black Black Red Pink Black Black Black
Black Black Blue Blue Blue Blue Blue Black Black Black Orange Pink Pink Pink Black Black
Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange Pink Black Black Black
Black Black Black Black Blue Black Black Black Black Black Orange 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 Purple Black Black Black Black Black Black Black Black Black
Black Black Purple Black Black Purple Purple Purple Black Black Black Purple Black Black 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 Purple Black Black
Black Purple Purple Purple Black Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Black
Black Black Purple Black Purple Purple Purple Black Black Purple Purple Purple Purple Purple Black Black
Black Black Black Black Purple Purple Black Black Black Purple Purple Purple Purple Purple Black Black
Black Black Black Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black
Black Black Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Black Black
Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Purple Black Black Black
Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black


Here is the input grid for the test example:
Input:
Black Black Pink Black Black Black Black Black Black Brown Black Black Black Black
Black Pink Pink Pink Gray Black Black Brown Brown Brown Brown Brown Black Black
Black Black Pink Gray Gray Gray Black Brown Brown Brown Brown Brown Black Black
Black Pink Black Black Gray Black Brown Brown Brown Brown Brown Brown Brown Black
Pink Pink Pink Black Black Brown Black Brown Brown Brown Brown Brown Black Black
Black Pink Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black
Black Black Black Black Pink Brown Black Black Black Brown Pink Black Black Black
Black Black Pink Pink Pink Pink Pink Black Black Pink Pink Pink Black Black
Black Black Pink Pink Pink Pink Pink Black Black Black Pink Black Black Black
Black Pink Pink Pink Pink Pink Pink Pink Black Black Gray Black Black Black
Black Black Pink Pink Pink Pink Pink Black Black Gray Gray Gray Black Black
Black Black Pink Pink Pink Pink Pink Black Gray Gray Gray Gray Gray Black
Black Black Black Black Pink Black Black Black Black Gray Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Gray 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 Purple Black Black Black Black Black Black Purple Black Black Black Black
Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black
Black Purple Black Black Purple Black Purple Purple Purple Purple Purple Purple Purple Black
Purple Purple Purple Black Black Purple Black Purple Purple Purple Purple Purple Black Black
Black Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Black Purple Purple Black Black Black Purple Purple Black Black Black
Black Black Purple Purple Purple Purple Purple Black Black Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Purple Black Black Black Purple Black Black Black
Black Purple Purple Purple Purple Purple Purple Purple Black Black Purple Black Black Black
Black Black Purple Purple Purple Purple Purple Black Black Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black
Black Black Black Black Purple Black Black Black Black Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Purple Black Black Black
```
assistant