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

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

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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Yellow Yellow Orange Yellow Red Red Red Yellow Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Orange Orange Yellow Red Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Yellow Orange Orange Orange Orange Red Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Green Orange Orange Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Green Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Green Yellow Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black 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 Yellow Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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


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 Gray Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Gray Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Gray Gray Gray 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 Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown 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 Black Black 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 Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Red 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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black
Black Yellow Gray Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black
Black Yellow Gray Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black
Black Yellow Gray Gray Gray Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black
Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Brown Yellow Yellow Yellow Yellow Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Yellow Brown Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Brown Brown Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Yellow Brown Brown Brown Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black
Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Red Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Red Red Yellow Black 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


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