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 Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray
Black Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray
Black Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray
Black Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Black Black Black Black Black
Black Brown Brown Brown Brown Brown Black Black Purple Purple Purple Purple Black Black Black Black Black
Black Brown Brown Brown Brown Brown Black Black Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Brown Brown Brown Brown Brown Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Brown Brown Brown Brown Brown Purple Purple Purple Purple Black Green Green Green Black
Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Green Green Green Black
Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Green Green Green Black
Black Black Black Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Green Green Green Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Green Green Green Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black

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


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

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


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 Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Black
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Black
Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Black
Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Green Black Black Black Red Red Red Red Red Black Black Black Black
Green Green Green Green Black Black Black Red Red Red Red Red Blue Blue Blue Blue
Black Orange Orange Orange Orange Orange Orange Red Red Red Red Red Blue Blue Blue Blue
Black Orange Orange Orange Orange Orange Orange Red Red Red Red Red Blue Blue Blue Blue
Black Orange Orange Orange Orange Orange Orange Red Red Red Red Red Black Black Black Black
Black Orange Orange Orange Orange Orange Orange Red Red Red Red Red 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 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 Purple Purple Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Black Black Black Black
Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
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 Purple Purple Black Black Black Black


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