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 Black Black Black Black Black Black Black Black Black
Black Black Black Black 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 Black Black
Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Brown Brown Brown Black Black Black Black Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Brown Brown Brown Black Black Black Black Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Brown Brown Brown Black Black Blue Blue Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple
Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple
Black Black Black Gray Gray Gray Black 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

Output:
Black Black Black Black Black Gray Gray Gray Brown Black Black Black Black Black
Black Black Black Black Black Gray Gray Gray Brown Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow Black Black
Black Brown Brown Brown Black Black Black Black Yellow Yellow Yellow Yellow Black Black
Black Brown Brown Brown Black Black Black Black Yellow Yellow Yellow Yellow Black Black
Black Brown Brown Brown Black Black Blue Blue Blue Blue Black Black Black Black
Black Black Black Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple
Gray Gray Gray Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple
Gray Gray Gray 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


Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Green Green Black Black Black Black Black Pink Pink Black Black Black
Black Black Black Green Green Black Black Black Black Black Pink Pink Black Black Black
Black Black Black Green Green Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Green Green Gray Gray Black Black Black Purple Purple Purple Black Black
Black Black Black Black Black Gray Gray Orange Orange Orange Purple Purple Purple Black Black
Black Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Black Black
Black Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Black Black
Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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:
Pink Pink Black Black Black Black Black Black Black Black Black
Pink Pink Green Black Black Black Black Black Pink Pink Black
Black Green Green Black Black Black Black Black Pink Pink Black
Black Green Green Gray Gray Black Black Black Black Black Black
Black Green Green Gray Gray Black Black Black Purple Purple Purple
Black Black Black Gray Gray Orange Orange Orange Purple Purple Purple
Black Black Black Black Black Orange Orange Orange Purple Purple Purple
Black Black Black Black Black Orange Orange Orange Purple Purple Purple
Black Black Black Black Black Orange Orange Orange 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
Green Green Green 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
Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Pink Pink Pink Black Black Black Black Gray Gray Gray Gray Black Black Black Black
Black Pink Pink Pink Black Black Black Black Gray Gray Gray Gray 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 Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black 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:
Gray Gray Gray Black Black Black Black Black Black Black Black Black
Gray Gray Gray Black Black Black Black Black Black Black Black Black
Green Green Green Black Black Black Black Black Black Black Black Black
Green Green Green Black Black Black Black Black Black Black Black Black
Black Pink Pink Pink Black Black Black Black Gray Gray Gray Gray
Black Pink Pink Pink Black Black Black Black Gray Gray Gray Gray
Black Pink Pink Pink Black Black 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 Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Purple Purple Black Black Black Black Black Black Black Red Red
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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black 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 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


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 Black Gray Gray Gray
Black Black Black Black Black Black Black Black Gray Gray Gray
Purple Purple Black Black Black Black Black Black Gray Gray Gray
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 Black Black Black Black Black Black
Black Brown Brown Black Black Black Black Black Black Black Black
Black Brown Brown Black Black Black Black Black Black Black Black
Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Gray Black Black Black Black
Black Black Black Black Gray Gray Gray Black Black Black Black
Black Black Black Black Gray Gray Gray Black Black Black Black
Black Black Black Black Gray Gray Gray Black Black Black Black
```
assistant