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

Output:
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 Purple Purple Black Black Purple Purple Purple Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Purple Purple Purple Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Purple Purple Purple Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Purple Purple Black Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Purple 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 Black Black Black 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 Purple Black Black Black Black Black Black


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

Output:
Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Purple Purple Purple 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 Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Purple Black Black Black Black Black Black Black
Purple Purple Black Black Purple Black Black Purple 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 Purple Purple Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Purple Purple Purple Purple Black Purple Purple Purple Black Black Black Black


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Red Yellow Black
Black Black Black Black Black Blue Blue Black Black Black Black Black Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Yellow Black
Black Black Black Black Black Black Black Black Black Brown Black Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Brown Black Green Green Green Black Black
Black Black Black Yellow Black Black Black Black Black Brown Black Black Pink Pink Pink Black
Black Black Black Yellow Black Black Black Black Black Black Black Black Pink Pink Pink Black
Black Black Black Black Black Black Orange Orange 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 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 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 Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Purple Purple 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 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 Purple Purple Purple 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 Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink 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 Gray Gray Gray Black Black Black Black Black
Black Black Black Pink Black Green Gray Gray Gray Black Black Black Black Black
Black Black Black Pink Black Black Brown Black Pink Pink Black Black Black Black
Black Blue Blue Pink Black Black Brown Black Pink Pink Black Gray Gray 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 Black
Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Gray Brown Brown 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 Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black
Black Black Purple Purple Black Black Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black
Black Black Black Black Black Black Purple Black Black Black Black Purple Purple Black
Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Purple Black
Black Black Black Black 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 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 Purple 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
```
assistant