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 Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Red Red Red Red Black Black
Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Red Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Black Black
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Black Yellow Yellow Black Yellow Black Black Black
Black Black Black Yellow Gray Gray Gray Gray Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black
Black Black Black Yellow Gray Gray Gray Gray Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Blue Yellow Yellow Black Yellow Black Black Black
Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black
Black Yellow Black Blue Black Yellow Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black
Black Yellow Blue Blue Blue Yellow Black Black Black Brown Black Black Black Black Black Blue Black Black Black Black Black Black
Black Yellow Blue Blue Blue Yellow Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black
Black Yellow Black Blue Black Yellow Black Black Black Brown 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 Brown Black Black Brown Black
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 Black Black Brown 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 Black Black

Output:
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 Orange Orange Orange Black Black Black Black Red Red Red Red Black Black
Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Red Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black
Black Black Black Green Green Green Green Green Green Black Black Black Black Red Black Red Red Black Red Black Black Black
Black Black Black Green Gray Gray Gray Gray Green Black Black Black Black Red Red Red Red Red Red Black Black Black
Black Black Black Green Gray Gray Gray Gray Green Black Black Black Black Red Red Red Red Red Red Black Black Black
Black Black Black Green Green Green Green Green Green Black Black Black Black Red Blue Red Red Black Red Black Black Black
Black Green Green Green Green Green Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black
Black Green Black Blue Black Green Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black
Black Green Blue Blue Blue Green Black Black Black Brown Black Black Black Black Black Blue Black Black Black Black Black Black
Black Green Blue Blue Blue Green Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black
Black Green Black Blue Black Green Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Brown Black
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 Black Black Brown 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 Black Black


Example 2
Input:
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 Red Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Yellow Red Red Red Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Red Red Red Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Red Red Black Yellow Black Black Black Black Black Black
Black Green Green Gray Gray Gray Yellow Black Red Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Black Green Green Gray Gray Black Yellow Red Red Yellow Black Black Black Black Black Black Black Black Black Black
Black Green Green Gray Gray Black Yellow Black Red Yellow Black Black Black Black Black Black Black Black Black Black
Black Green Green Gray Gray Gray 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 Orange Orange Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Black Black Black Red 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 Gray 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 Red Red Red Red Red Red Black Red Black Black Black Black Black Black
Black Green Green Gray Gray Gray Red Black Red Red Red Red Red Red Black Black Black Black Black Black
Black Green Green Gray Gray Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Black Green Green Gray Gray Black Red Black Red Red Black Black Black Black Black Black Black Black Black Black
Black Green Green Gray Gray Gray Red Red 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 Black Black Black Orange Orange Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black 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
Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Purple Purple Purple Yellow Black Gray Gray Gray Gray Black Black Yellow Orange Black Yellow Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Black Gray Gray Gray Gray Black Black Yellow Orange Orange Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Yellow Orange Black Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Yellow Orange Black Yellow 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 Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black
Black Black Gray Gray Gray Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Red Red Red 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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Red Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black
Purple Purple Purple Red Black Gray Gray Gray Gray Black Black Green Orange Black Green Black Black Black Black Black Black
Red Red Red Red Black Gray Gray Gray Gray Black Black Green Orange Orange Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Green Orange Black Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Green Orange Black Green 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 Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black
Black Black Gray Gray Gray Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Red Red Red 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


Here is the input grid for the test example:
Input:
Black Black Black Black Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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
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 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 Yellow Yellow Yellow Yellow Yellow Black Red Red Black Black Black Black Black
Black Black Black Black Black Black Yellow Blue Blue Blue Yellow Black Red Red Black Black Black Black Black
Black Black Black Black Black Black Yellow Blue Blue Blue Yellow Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Red Black Black Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Blue Blue Black Black Red Black Black Yellow Blue Blue Yellow Black
Black Black Black Black Black Black Black Black Blue Black Red Red Black Black Yellow Blue Blue Yellow Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Blue Blue Yellow Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Blue Blue Yellow 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 Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red 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 Red Red Black Black Black Black
Black Black Black Black Black Black Green Green Green Green Green Black Red Red Black Black Black Black Black
Black Black Black Black Black Black Green Blue Blue Blue Green Black Red Red Black Black Black Black Black
Black Black Black Black Black Black Green Blue Blue Blue Green Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Green Green Green Green Green Red Black Black Blue Blue Blue Blue Black
Black Black Black Black Black Black Black Blue Blue Black Black Red Black Black Blue Blue Blue Blue Black
Black Black Black Black Black Black Black Black Blue Black Red Red Black Black Blue Blue Blue Blue Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black
```
assistant