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 Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Orange Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Orange Black Black Black Orange Black Black Black Black Brown Brown Brown Brown Black Black Black Black
Black Black Black Orange Black Black Black Orange Black Black Black Black Black Black Black Brown Black Black Black Black
Black Black Black Orange Orange Black Orange Orange Black Black Black Black Black Black Black Brown Black Black Black Black
Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black 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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Green
Black Purple Purple Black Purple Black Black Black Black Orange Black Black Black Black Green Black Black Black Black Green
Black Purple Purple Black Purple Purple Black Black Black Orange Black Orange Black Black Green Green Green Green Green Green
Black Purple Purple Purple Black Purple Purple Black Black Orange Orange Black Orange Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black
Purple Black Black Purple Purple Purple Purple Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black
Purple Purple Black Purple Purple Purple 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 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 Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Orange Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Orange Black Black Black Orange Black Black Black Black Brown Brown Brown Brown Black Black Black Black
Black Black Black Orange Black Black Black Orange Black Black Black Black Black Black Black Brown Black Black Black Black
Black Black Black Orange Orange Black Orange Orange Black Black Black Black Black Black Black Brown Black Black Black Black
Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black 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
Black Black 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 Green Green Green Green Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green
Black Purple Purple Black Purple Black Black Black Black Orange Black Black Black Black Green Green Green Green Green Green
Black Purple Purple Black Purple Purple Black Black Black Orange Black Orange Black Black Green Green Green Green Green Green
Black Purple Purple Purple Black Purple Purple Black Black Orange Orange Black Orange Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black
Purple Black Black Purple Purple Purple Purple Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black
Purple Purple Black Purple Purple Purple 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 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 Green Green Green Green Green Green Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Green Black Black Black Black Black Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Green Black Black Black Black Black Green Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Green Black Black Black Black Black Green Black Black Black Black Black Brown
Black 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 Green Black Black Black Black Black Green Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Green 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 Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Pink Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Pink Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Pink Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Pink Black Black Black Black Pink Black Black Black Black Black Black Black Black Pink Black Black Black Black
Black Pink Pink Pink Pink Pink Pink 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 Pink Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink 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 Green Green Green Green Green Green Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Green Black Black Black Black Black Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Green Black Black Black Black Black Green Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Green Black Black Black Black Black Green Black Black Black Black Black Brown
Black 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 Green Black Black Black Black Black Green Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Green 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 Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Pink Black Black Black Black
Black Pink Pink Pink Pink Pink Pink 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 Pink Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink 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
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 Black Black Black Black 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 Black Black Black Gray Gray Gray Black Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Black Black Pink Black Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black Pink Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black 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 Pink Black Black Black Black Black Black Black Black
Orange Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Pink Black Black Black Black
Orange Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Black Black Black 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

Output:
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 Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Gray Gray Gray Black Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Gray Gray Pink Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Pink Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black 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 Pink Black Black Black Black Black Black Black Black
Orange Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Pink Black Black Black Black
Orange Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Black Black Black 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


Here is the input grid for the test example:
Input:
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 Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Purple Black Black 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 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 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 Black Black Black Black Black Orange Black Black Black 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 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 Gray Gray Gray Black Black Gray
Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray
Black Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray
Black Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black
Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Gray Black Black Gray Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Gray Gray Gray


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 Purple Purple Purple Purple Purple 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 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 Purple Purple Purple Purple Black Black 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 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 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 Black Black Black Black Black Orange Black Black Black 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 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 Gray Gray Gray Black Black Gray
Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray
Black Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray
Black Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black
Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Gray Black Black Gray Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Gray Gray Gray
```
assistant