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 Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Black Orange Black Black Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Orange 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 Black Black Black Black Black Purple Yellow Yellow Black Black Black
Black Black Black Black Black Black Black Black Gray Black Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Black Gray Gray Gray Black Yellow Yellow Yellow Black Black Black
Black Orange Black Black Black Black Gray Gray Gray Gray Gray Black Yellow Black Black Black Black
Orange Orange Orange Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black
Black Orange Black Black Black Black Pink Pink Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Pink 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 Purple Black Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Purple 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 Black Black Black Black Black Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Purple Black Purple Purple Purple Purple Purple Black Black
Black Black Black Black Black Black Black Purple Purple Purple Black Purple Purple Purple Black Black Black
Black Purple Black Black Black Black Purple Purple Purple Purple Purple Black Purple Black Black Black Black
Purple Purple Purple Black Black Black Black Purple Purple Purple Black Black Black 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 Black Black Black Purple Black Black Black Black Black Black Black Black Black


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

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


Example 3
Input:
Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Green Green Green 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 Black Black Black Black Purple Black Black Black Yellow Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Black Yellow Yellow Yellow Black Black Black
Black Black Black Black Black Black Black Purple Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black
Black Green Black Black Black Black Black Black Pink Red Red Red Red Red Black Black
Green Green Green Black Black Black Black Pink Pink Pink Red Red Red Black Black Black
Black Green Black Black Black Black Pink Pink Pink Pink Pink Red Black Black Black Black
Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Pink Black Pink Black Black Black Black Black

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


Here is the input grid for the test example:
Input:
Black Black Black Gray 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 Gray Gray Gray Gray Gray Black Gray Black Black Black Black Black Black
Black Black Gray Gray Gray Black Gray Gray Gray Black Black Black Black Black
Black Black Black Gray Black Gray Pink Gray Gray Gray Brown Black Black Black
Black Black Black Black Black Pink Orange Pink Gray Brown Brown Brown Black Black
Black Black Black Black Black Orange Orange Orange Blue Brown Brown Brown Brown Black
Black Black Black Black Black Black Orange Blue Blue Blue Brown Brown Black Black
Black Black Black Black Black Purple Blue Blue Blue Blue Blue Black Pink Black
Black Black Black Black Purple Purple Purple Blue Blue Blue Black Pink Pink Pink
Black Black Black Purple Purple Purple Purple Purple Blue Black Black Black Pink Black
Black Black Black Black Purple Purple Purple 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


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