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

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

Output:
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 Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Brown Brown Black Black Black Black Black Black
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black Black
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Yellow Brown Brown Brown Brown Black Black Black Black Black
Black Yellow Yellow Yellow Yellow Yellow Yellow Red Red Brown Blue Red Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Red Red Brown Blue Red Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Brown Yellow Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Yellow Yellow Yellow Yellow Yellow
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 Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow


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

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


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 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 Black Red Brown 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black 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 Blue Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue 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 Green Orange
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 Green Orange
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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black 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 Black Black
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow 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 Black 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 Red Brown 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 Black Red Brown 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 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 Black Yellow Yellow Yellow Yellow Black
```
assistant