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 Yellow Black Black Purple Black Purple Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Purple Black Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Purple Purple Black Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Purple Gray Gray Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Purple Black Gray Purple Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Gray Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Purple Gray Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Gray Gray Purple Purple Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Gray Yellow Gray Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Pink Purple Gray Purple Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Purple Pink Pink Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Yellow Gray Pink Gray Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Purple Pink Purple Purple Purple Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Purple Pink Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Pink Pink Pink Purple Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Gray Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Purple Pink Purple

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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Black Yellow Blue Black Black Blue Blue Blue Orange Black
Black Black Black Black Black Yellow Black Yellow Orange Orange Orange Orange Orange Blue Orange Orange Black Blue Blue Blue
Black Black Black Black Black Black Yellow Black Orange Black Orange Black Blue Orange Orange Orange Blue Blue Orange Blue
Black Black Black Orange Orange Yellow Orange Orange Orange Red Red Red Orange Orange Orange Red Orange Orange Yellow Orange
Black Black Black Orange Orange Black Orange Orange Orange Red Orange Red Orange Orange Orange Orange Orange Orange Red Orange
Black Black Black Yellow Black Black Gray Gray Pink Orange Yellow Pink Gray Purple Pink Orange Gray Pink Purple Gray
Black Black Black Gray Black Gray Gray Gray Pink Pink Pink Red Purple Gray Pink Pink Purple Purple Pink Pink
Black Black Black Orange Gray Gray Gray Orange Pink Pink Red Pink Purple Orange Purple Gray Gray Red Pink Red
Black Black Black Orange Orange Gray Gray Orange Gray Pink Pink Red Orange Orange Purple Purple Gray Purple Purple Purple
Black Black Black Gray Orange Gray Gray Gray Pink Pink Pink Gray Orange Purple Orange Pink Purple Purple Pink Purple
Black Black Black Black Orange Gray Gray Gray Pink Red Gray Pink Purple Purple Pink Gray Purple Purple Purple Purple
Black Black Black Gray Gray Orange Black Gray Pink Red Pink Red Purple Pink Purple Gray Purple Purple Purple Purple
Black Black Black Black Orange Gray Black Orange Orange Gray Pink Gray Purple Pink Purple Purple Pink Purple Purple Purple
Black Black Black Gray Orange Orange Orange Gray Gray Pink Red Gray Pink Purple Pink Purple Purple Orange Purple Orange

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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black 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 Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black 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 Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow
Black Black Black Black Black Black Black Black Black Black Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Yellow Black Black Black Yellow Yellow Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Yellow Black Yellow Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Black Black Yellow Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black Yellow Yellow Yellow Black Black Black Yellow
Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Yellow 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 Yellow Black Black Yellow 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 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 Gray Gray Purple Black Purple Purple Purple Purple Gray Purple Purple Black Purple Black Purple
Black Black Black Gray Black Black Purple Gray Gray Purple Gray Purple Black Black Gray Gray Gray Gray Black
Black Black Black Yellow Yellow Yellow Purple Gray Yellow Purple Gray Yellow Yellow Purple Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Yellow Yellow Purple Yellow Black Yellow Yellow Purple Yellow Yellow Black Yellow Purple Yellow
Black Black Yellow Gray Gray Yellow Yellow Yellow Yellow Purple Yellow Yellow Black Yellow Yellow Gray Yellow Yellow Yellow
Black Black Gray Black Black Yellow Yellow Yellow Yellow Yellow Black Purple Purple Purple Yellow Yellow Yellow Yellow Yellow
Black Black Black Yellow Yellow Yellow Purple Purple Yellow Yellow Gray Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow
Black Black Yellow Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Yellow Purple Yellow Yellow Yellow Purple Yellow Yellow
Black Black Yellow Yellow Yellow Gray Yellow Yellow Yellow Black Yellow Purple Yellow Yellow Yellow Yellow Yellow Gray Purple
Black Black Gray Yellow Gray Yellow Purple Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Black Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Purple Black Black Purple Purple Purple Yellow Yellow Yellow
Black Black Gray Black Gray Yellow Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow Yellow Yellow Yellow Yellow Purple
Black Black Black Yellow Gray Black Yellow Yellow Yellow Yellow Black Yellow Purple Gray Yellow Yellow Gray Purple Yellow
Black Black Yellow Gray Black Yellow Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Gray Yellow Yellow Yellow Yellow Yellow Yellow Purple Yellow Purple Yellow Yellow Yellow Yellow Yellow Purple Gray
Black Black Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow
Black Black Gray Gray Yellow Yellow Yellow Yellow Gray Purple Black Yellow Yellow Yellow Yellow Yellow Gray Yellow Yellow


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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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