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

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


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

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