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

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