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 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 Purple Pink Pink Purple Black Black
Black Black Black Black Black Black Purple Pink Pink Purple Black Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Purple Green Green Green Purple Black Black Black Black Black Black
Black Purple Green Green Green Purple Black Black Black Black Black Black
Black Purple Green Green Green Purple Black Black Black Black Black Black
Black Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black

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

Output:
Black Black Black Brown Brown Brown Brown Brown
Black Black Black Brown Yellow Yellow Yellow Brown
Orange Orange Orange Brown Yellow Yellow Yellow Brown
Orange Blue Orange Brown Yellow Yellow Yellow Brown
Orange Orange Orange Brown Brown Brown Brown Brown
Black Black Pink Pink Pink Black Black Black
Black Black Pink Purple Pink Black Black Black
Black Black Pink Pink Pink Black Black Black


Example 3
Input:
Black Black Black Black Black Black Black Black Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Blue Yellow Yellow Blue
Black Black Black Black Black Black Black Black Blue Yellow Yellow Blue
Black Black Black Black Black Black Black Black Blue Blue Blue Blue
Black Black Black Black Black Black Brown Brown Brown Brown Brown Black
Black Black Black Black Black Black Brown Red Red Red Brown Black
Black Black Black Black Black Black Brown Red Red Red Brown Black
Black Yellow Yellow Yellow Yellow Yellow Brown Red Red Red Brown Black
Black Yellow Pink Pink Pink Yellow Brown Brown Brown Brown Brown Black
Black Yellow Pink Pink Pink Yellow Black Black Black Black Black Black
Black Yellow Pink Pink Pink Yellow Black Black Black Black Black Black
Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Black Blue Blue Blue Blue
Black Black Black Black Black Black Black Blue Yellow Yellow Blue
Black Black Black Black Black Black Black Blue Yellow Yellow Blue
Black Black Black Black Black Black Black Blue Blue Blue Blue
Black Black Black Black Black Brown Brown Brown Brown Brown Black
Black Black Black Black Black Brown Red Red Red Brown Black
Black Black Black Black Black Brown Red Red Red Brown Black
Yellow Yellow Yellow Yellow Yellow Brown Red Red Red Brown Black
Yellow Pink Pink Pink Yellow Brown Brown Brown Brown Brown Black
Yellow Pink Pink Pink Yellow Black Black Black Black Black Black
Yellow Pink Pink Pink Yellow Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Yellow Orange Orange Yellow Black Black
Black Purple Purple Purple Purple Purple Yellow Orange Orange Yellow Black Black
Black Purple Red Red Red Purple Yellow Yellow Yellow Yellow Black Black
Black Purple Red Red Red Purple Gray Gray Gray Gray Gray Black
Black Purple Red Red Red Purple Gray Pink Pink Pink Gray Black
Black Purple Purple Purple Purple Purple Gray Pink Pink Pink Gray Black
Black Black Black Black Black Black Gray Pink Pink Pink Gray Black
Black Black Black Black Black Black Gray Gray Gray Gray Gray Black
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 Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Yellow Orange Orange Yellow Black
Purple Purple Purple Purple Purple Yellow Orange Orange Yellow Black
Purple Red Red Red Purple Yellow Yellow Yellow Yellow Black
Purple Red Red Red Purple Gray Gray Gray Gray Gray
Purple Red Red Red Purple Gray Pink Pink Pink Gray
Purple Purple Purple Purple Purple Gray Pink Pink Pink Gray
Black Black Black Black Black Gray Pink Pink Pink Gray
Black Black Black Black Black Gray Gray Gray Gray Gray
```
assistant