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

Output:
Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black
Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black
Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black
Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black
Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black
Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black
Blue Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black
Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black
Black Blue Blue Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black
Black Black Black Black Blue 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


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 Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black
Black Black Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black
Black Black Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black
Black Black Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black
Black Black Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Black Black
Black Red Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Black Black
Black Purple Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Black Black
Black Purple Purple Red Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red 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 Black Black

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


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 Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Purple Purple Green Green Green Purple Purple Purple Purple Black Black
Black Green Purple Green Green Green Purple Purple Purple Purple Black Black
Black Black Green Green Green Green Purple Purple Purple Purple Black Black
Black Black Green Green Green Green Purple Purple 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


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 Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Purple Purple Green Green Green Purple Purple Purple Purple Black Black
Green Purple Green Green Green Purple Purple Purple Purple Black Black
Black Green Green Green Green Purple Purple Purple Purple Black Black
Black Green Green Green Green Purple Purple 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
```
assistant