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

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

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


Example 3
Input:
Black 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 Gray Orange Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black
Blue Red Purple Red Blue Black Black Black Black Black Black Black Black Black Black Black
Red Red Purple Red Red Black Black Orange Red Red Red Orange Black Black Black Black
Red Blue Purple Blue Red Black Black Orange Red Red Red Orange Black Black Black Black
Red Blue Black Blue Red Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Blue Blue Black Gray Gray Black Black Black Purple Yellow Pink Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Gray Yellow Pink Black Black
Black Blue Blue Black Black Black Gray Gray Black Black Black Gray Yellow Pink Black Black
Black Blue Blue Black Black Black Gray Gray Black Black Black Purple Yellow Pink Black Black
Black Purple Purple 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 Orange Orange Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Gray Orange Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black
Blue Red Purple Red Blue Black Black Black Black Black Black Black Black Black Black Black
Red Red Purple Red Red Black Black Orange Blue Blue Blue Orange Black Black Black Black
Red Blue Purple Blue Red Black Black Orange Blue Blue Blue Orange Black Black Black Black
Red Blue Black Blue Red Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Blue Blue Black Blue Blue Black Black Black Purple Yellow Pink Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Gray Yellow Pink Black Black
Black Blue Blue Black Black Black Blue Blue Black Black Black Gray Yellow Pink Black Black
Black Blue Blue Black Black Black Blue Blue Black Black Black Purple Yellow Pink Black Black
Black Purple Purple 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 Blue Blue Black Black Black Black Black
Black Black Black Black Black Black Black Blue Black Black Black Black Blue Yellow
Black Black Red Orange Orange Black Black Black Black Black Pink Brown Brown Red
Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Orange Orange Blue Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Pink Black Black
Black Black Black Black Black Black Black Black Black Black Purple Green Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Brown Blue Black Black Pink Orange Orange Gray Black Black Black Black Black
Black Brown Blue Black Black Pink Orange Yellow Yellow Black Gray Gray Blue Black
Black Black Black Black Black Black Pink Yellow Yellow Black Gray Gray Blue Black
Blue Blue Blue Black Black Pink Orange Yellow Yellow Black Black Black Black Black
Blue Blue Blue Black Black Pink Orange Orange Gray 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 Blue Blue Black Black Black Black Black
Black Black Black Black Black Black Black Blue Black Black Black Black Blue Yellow
Black Black Red Blue Blue Black Black Black Black Black Pink Brown Brown Red
Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Pink Black Black
Black Black Black Black Black Black Black Black Black Black Purple Green Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Brown Blue Black Black Pink Orange Orange Gray Black Black Black Black Black
Black Brown Blue Black Black Pink Orange Blue Blue Black Gray Gray Blue Black
Black Black Black Black Black Black Pink Blue Blue Black Gray Gray Blue Black
Blue Blue Blue Black Black Pink Orange Blue Blue Black Black Black Black Black
Blue Blue Blue Black Black Pink Orange Orange Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant