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 Black Black Black Black 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 Green Green Green 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 Green Green Green Green Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue 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 Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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 Green Green Green 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 Orange Orange Orange Orange Black Black Black Black Black
Black Blue Blue Blue Blue Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black
Black Blue Blue Blue Blue Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black
Black Blue Blue Blue Blue Black Black Black Black Orange Orange Orange Orange 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 Black Black Black Black Black Black Black 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 Green Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Orange Orange Green Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Orange Orange Green Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


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 Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black 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

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Green Yellow Blue Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black
Black Black Black Black Black Black Red Red Red Red Red Orange Orange Orange Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Red Red Red Orange Orange Orange Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Green Green Green Black Black
Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Green Green Green Black Black
Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black 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 Orange Orange Orange Orange Orange 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 Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange 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 Black Black Pink Pink Pink Black 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 Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Green Red Red Red Green Green Green Green Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Green Red Red Red Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Green Red Red Red Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


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 Orange Orange Orange Orange Orange Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Pink Pink Pink Black
Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Pink Pink Pink Black
Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Pink Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Pink Blue Blue Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Pink Black Black Yellow 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 Black Black Yellow 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 Black Black Black Black Black Pink Pink Pink Pink Pink
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 Black Black Black Pink Pink Pink Pink Pink
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 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 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


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:

```
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Green Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Green Pink Pink Pink Green Green Green Green Green Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Green Green Green Green Green Purple Purple Green Green Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
```
assistant