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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black 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 Black 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 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 Purple Black Orange Orange Orange Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple Black Black Black Black Orange Black
Black Black Black Black Black Yellow Yellow Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Yellow 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 Orange Orange Orange 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
Purple 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 Orange 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 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 Yellow Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow 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 Black 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 Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Yellow Black Purple Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Yellow Black Black Black Black Black Black
Black Black Purple Purple Purple Orange Purple Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Black
Black Black Black Black Black Yellow Yellow Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Yellow 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 Orange Orange Orange 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 Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black
Black Purple Black Black Purple Purple Black Black Black Black Black Black Orange Black Black Black Black Black
Black Black Purple Black Purple Purple Orange Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Orange Black Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black


Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black
Black Black Yellow 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 Orange Orange Orange 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 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 Brown Brown Brown Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Brown Brown Brown Black Orange 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 Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Black Black Yellow Yellow Black Black Purple Black Black Black Brown Black
Black Black Black Black Black Purple Purple Purple Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black
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 Yellow Black Black Black Yellow
Black Black Black Black Orange Black Black 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 Yellow 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 Yellow Yellow Black Black Black Black Black Black Black
Black Black Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black
Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black
Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black
Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black
Black Black Black Black Black Black Yellow 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 Black Black Black Black Brown Brown Orange Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Purple Brown Brown 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 Purple Purple Purple Black Black Yellow Yellow Yellow Black Purple Black Yellow Black Brown Black
Black Black Black Black Black Purple Purple Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Yellow Black Brown
Yellow Black Black Black Black Black Black Yellow Black Black Black Black Purple Black Yellow Black Black Black Yellow Black
Black Yellow Black Black Yellow Black Black Yellow Black Black Black Black Black Black Black Yellow Black Black Black Yellow
Black Black Yellow Yellow Orange Orange Orange Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Yellow Black Black Yellow 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 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow 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 Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black 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 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

Output:
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 Green 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Purple Purple Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Black Black Black
Black Black Purple Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow 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 Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Purple Green Green Black Black Black Black Black Black Black Black Black Black Black
Black Black 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 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


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


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 Orange 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 Black Black Black Black Black Black Black Black 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 Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Pink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Pink Pink Pink Gray Orange Orange Orange Gray Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Gray Pink Gray Gray Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Black Black Pink Gray Gray Gray Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Black Pink Black Gray Gray Gray Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Pink Black Black Black Black Black Black Gray Black Black Black Gray Black Black
Black Black Black Black Pink Black Black Black Black Black Black Black Black Gray Black Gray Black Black Black
Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black
Black Black Pink Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black
Black Pink 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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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