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

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


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

Output:
Black Black Purple Black Black Black Orange Black Black Black Purple Purple Black Gray Gray
Black Black Black Black Black Orange Orange Orange Black Black Black Purple Purple Gray Gray
Black Black Black Black Black Orange Orange Orange Black Black Black Purple Purple Gray Gray
Black Black Black Black Black Black Orange Black Black Black Purple Purple Black Black 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 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 Black Black Black Black Black 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 Black Black Black Black Black Black Green Black Black Black Black Black Black Black


Example 3
Input:
Pink Black Black Black Green Black Gray Black Black Black Black Green Green Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black
Black Black Black Black Green Black Black Black Black Black Black Black Black Pink Pink Pink
Black Black Black Black Black Pink Black Black Green Black Black Black Black Black Pink Black
Black Pink Black Green Green Green Black Black Black Black Black Black Black Black Black Green
Black Black Black Green Green Green Black Black Black Gray Green Gray Gray Gray Gray Black
Black Black Black Green Green Black Black Green Black Black Gray Gray Gray Gray Gray Black
Black Black Black Gray Black Gray Black Black Black Green Black Black Green Pink Black Black
Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Green Black Green Black Black Black Black Black Green Black
Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black

Output:
Pink Black Black Black Green Black Gray Black Black Black Black Green Green Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black
Black 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 Pink Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black
Black 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 Green 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 Red Red Black Black Black Black Black Purple Black
Black Black Brown Brown Black Black Black Brown Black Red Red Black Black Black
Black Black Brown Brown Gray Black Black Black Gray Red Red Black Gray Black
Gray Black Brown Brown Purple Black Purple Black Black Red Red Black Black Black
Red Purple Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Brown Black Black Gray Black
Purple Purple Black Brown Black Red Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Gray Red Black Black 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 Brown Black Black Red Black Black
Black Black Gray Gray Black Black Gray Black Black Purple Black Black Black Black
Black Gray Gray Black Black Black Black Black Black Gray Black Black Black Black
Black Gray Gray Black Black Black Black Black Black Black Black Purple Black Brown
Black Black Gray Gray 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 Red Red Black Black Black Black Black 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
Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
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
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
Black Black Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black
Black Gray Gray Black Black Black Black Black Black Black Black Black Black Brown
Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black
```
assistant