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

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


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 Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Purple Purple Yellow Black Gray Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Blue Pink Purple Purple Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Yellow Pink Yellow Yellow Blue Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Blue Yellow Yellow Pink Yellow Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Purple Purple Pink Blue Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Black Yellow Purple Purple Gray Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Purple Purple Purple Purple Yellow Yellow Black Black Gray Gray Black Black Black Black
Black Black Black Black Gray Gray Purple Purple Purple Purple Yellow Yellow Black Black Gray Gray Black Black Black Black
Black Black Black Black Black Black Purple Purple Blue Blue Pink Pink Purple Purple Purple Purple Blue Blue Black Black
Black Black Black Black Black Black Purple Purple Blue Blue Pink Pink Purple Purple Purple Purple Blue Blue Black Black
Black Black Black Black Yellow Yellow Pink Pink Yellow Yellow Yellow Yellow Blue Blue Purple Purple Purple Purple Black Black
Black Black Black Black Yellow Yellow Pink Pink Yellow Yellow Yellow Yellow Blue Blue Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Blue Blue Yellow Yellow Yellow Yellow Pink Pink Yellow Yellow Black Black Black Black
Black Black Purple Purple Purple Purple Blue Blue Yellow Yellow Yellow Yellow Pink Pink Yellow Yellow Black Black Black Black
Black Black Blue Blue Purple Purple Purple Purple Pink Pink Blue Blue Purple Purple Black Black Black Black Black Black
Black Black Blue Blue Purple Purple Purple Purple Pink Pink Blue Blue Purple Purple Black Black Black Black Black Black
Black Black Black Black Gray Gray Black Black Yellow Yellow Purple Purple Purple Purple Gray Gray Black Black Black Black
Black Black Black Black Gray Gray Black Black Yellow Yellow Purple Purple Purple Purple Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant