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 Purple Black Black Purple 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 Red Black Red Black Black Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Pink Orange Orange Orange Pink Black Black Black
Black Black Black Black Brown Brown Brown Black Black Orange Orange Black Orange Orange Black Black Black
Black Black Black Brown Brown Brown Brown Black Black Orange Orange Orange Orange Orange 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 Brown Black Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Pink Brown Brown Brown Pink Black Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Brown Brown Orange Black Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Brown Brown Orange Black Black Black Black Black Black Black Black Black Black
Black Black Red Red 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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black 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 Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black
Black Orange Orange Black Black Gray Gray Gray Black Black Black Black Red Red Red
Orange Orange Orange Black Gray Gray Black Gray Gray Black Black Black Red Black Red
Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black 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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Gray Gray Gray Yellow Black Black Black Black Black Black Black Black Black Black
Gray Gray Orange Gray Gray Black Black Black Black Black Black Black Black Black Black
Orange Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Red Orange Orange 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 Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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 3
Input:
Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black
Black Black Black Black Black Gray 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 Black Gray Gray Gray 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 Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black 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 Pink Gray Pink Pink Pink Black Black Black Black Black Black Black
Black Black Black Black Pink Gray Gray Gray Gray 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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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 Black Black Black Black Black Orange Orange Black Black Black
Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black
Black Black Black Black Black Black Black Black Black 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 Black Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black
Black Green Green Black Black Black Purple Purple Purple Black Black Black Black Black
Black Black Green Black Black Black Black Black Black Black Black Black Black Black
Black Green Green Black 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 Green Green Purple Black Black Black Black Black Black Black Black Black Black
Black Orange Green Purple Black Black Black Black Black Black Black Black Black Black
Black Green Green Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black 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