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 Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Black Pink Pink Pink Pink Black Black Purple Purple Purple
Black Black Green Green Black Purple Purple Black Pink Pink Pink Pink Black Black Purple Purple Purple
Black Black Green Green Black Black Black Black Black Black Black Black Black Black Purple Purple Purple
Black Black Green Green Black Brown Brown Brown Brown Black Orange Orange Orange Black Black Black Black
Black Black Green Green Black Brown Brown Brown Brown Black Orange Orange Orange Black Orange Orange Black
Black Black Black Black Black Brown Brown Brown Brown Black Orange Orange Orange Black Orange Orange Black
Pink Pink Pink Black Black Brown Brown Brown Brown Black Black Black Black Black Orange Orange Black
Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black
Pink Pink Pink Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Blue Blue Blue
Black Black Black Gray Gray Gray Gray Black Black Brown Brown Brown Brown Black Blue Blue Blue
Black Black Black Gray Gray Gray Gray Black Black Brown Brown Brown Brown Black Blue Blue Blue

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


Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black
Black Black Black Red Red Black Black Black Orange Orange Orange Black Blue Blue Black
Black Black Black Red Red Black Black Black Orange Orange Orange Black Blue Blue Black
Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Red Red Black 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 Brown Brown Brown Black Gray Gray Black Black Black Blue Blue Blue Black Black
Brown Brown Brown Brown Black Gray Gray Black Black Black Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black
Black Orange Orange Orange Black Black Black Black Black Black Blue Blue Blue Black Black
Black Orange Orange Orange 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

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


Example 3
Input:
Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black
Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow Yellow Black
Black Black Black Gray Gray Gray Black 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 Brown Brown Brown Brown Black Black
Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black
Black Orange Orange Black Black Pink Pink Pink 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 Pink Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black
Black Black Brown Brown Brown Black Black Pink Pink Black Gray Gray Gray Black
Black Black Brown Brown Brown Black Black Pink Pink Black Black Black Black Black
Black Black Brown Brown Brown Black Black Pink Pink Black Orange Orange Orange Orange
Black Black Brown Brown Brown Black Black Black Black Black Orange Orange Orange Orange

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


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