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

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

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


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