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


Example 3
Input:
Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black
Black Black Black Black Black Red Purple Purple Purple Red Black Black Black Black Black Black
Black Gray Gray Gray Gray Red Purple Purple Purple Red Black Black Black Black Black Black
Black Gray Blue Blue Gray Red Purple Purple Purple Red Black Black Black Black Black Black
Black Gray Blue Blue Gray Red Purple Purple Purple Red Black Black Black Black Black Black
Black Gray Blue Blue Gray Red Red Red Red Red Black Black Black Black Black Black
Black Gray Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Orange Orange Orange Black Black Gray Gray Gray Gray Gray
Black Black Black Black Orange Red Red Red Orange Black Black Gray Pink Pink Pink Gray
Black Black Black Black Orange Red Red Red Orange Black Black Gray Pink Pink Pink Gray
Black Black Black Black Orange Red Red Red Orange Black Black Gray Gray Gray Gray Gray
Black Black Black Black Orange Orange 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

Output:
Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black
Black Black Black Black Black Red Purple Purple Purple Red Black Black Black Black Black Black
Black Gray Gray Gray Gray Red Purple Purple Purple Red Black Black Black Black Black Black
Black Gray Blue Blue Gray Red Purple Purple Purple Red Black Black Black Black Black Black
Black Gray Blue Blue Gray Red Purple Purple Purple Red Black Black Black Black Black Black
Black Gray Blue Blue Gray Red Red Red Red Red Black Black Black Black Black Black
Black Gray Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Red Black Black Pink Pink Pink Pink Pink
Black Black Black Black Red Orange Orange Orange Red Black Black Pink Gray Gray Gray Pink
Black Black Black Black Red Orange Orange Orange Red Black Black Pink Gray Gray Gray Pink
Black Black Black Black Red Orange Orange Orange Red Black Black Pink Pink Pink Pink Pink
Black Black Black Black Red Red 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


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 Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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 Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Black
Black Black Black Black Black Black Pink Yellow Yellow Pink Blue Gray Gray Gray Gray Gray Blue Black
Black Black Black Black Black Black Pink Yellow Yellow Pink Blue Gray Gray Gray Gray Gray Blue Black
Black Black Black Black Black Black Pink Pink Pink Pink Blue Gray Gray Gray Gray Gray Blue Black
Black Black Black Black Black Black Black Black Black Black Blue Gray Gray Gray Gray Gray Blue Black
Black Green Green Green Green Green Green Black Black Black Blue Blue Blue Blue Blue Blue Blue Black
Black Green Red Red Red Red Green Black Black Black Black Black Black Black Black Black Black Black
Black Green Red Red Red Red Green Black Black Black Black Black Black Black Black Black Black Black
Black Green Red Red Red Red Green Black Black Black Black Black Black Black Black Black Black Black
Black Green Red Red Red Red Green Black Black Black Black Black Black Black Black Black Black Black
Black Green Red Red Red Red Green Black Black Black Black Black Black Black Black Black Black Black
Black Green Green Green Green 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 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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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 Yellow Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Black Yellow Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Black Yellow Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Red Green Green Green Green Red Black Black Black Black Black Black Black Black Black Black Black
Black Red Green Green Green Green Red Black Black Black Black Black Black Black Black Black Black Black
Black Red Green Green Green Green Red Black Black Black Black Black Black Black Black Black Black Black
Black Red Green Green Green Green Red Black Black Black Black Black Black Black Black Black Black Black
Black Red Green Green Green Green Red Black Black Black Black Black Black Black Black Black Black Black
Black Red Red Red 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
```
assistant