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


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Green Green Red Black Black Black Black Black Black Black
Black Black Green Green Green Green Green Black Black Black Black Black
Black Black Black Black Green Black Black Black Black Black Black Black
Black Black Green Green Green Green Green Black Black Black Black Black
Black Black Green Green Red Purple Black Purple Black Black Black Black
Black Black Black Black Black Green Green Green Black Black Black Black
Black Black Black Black Black Purple 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 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 Green Green Red Black Black Black Black Black Black Black
Black Black Green Green Green Green Green Black Black Black Black Black
Black Black Black Black Green Black Black Black Black Black Black Black
Black Black Green Green Green Green Green Black Black Black Black Black
Black Black Green Green Red Purple Green Purple Black Black Black Black
Black Black Black Black Black Green Green Green Black Black Black Black
Black Black Black Black Black Purple 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 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 Gray Gray Black Black Purple Red Purple Black Black Black
Black Black Gray Gray Gray Gray Red Red Red Black Black Black
Black Gray Gray Gray Gray Gray Red Black Red Black Black Black
Black Gray Gray Gray Gray Black Black Black Black Black Black Black
Black Black Black Gray Gray Blue Blue Blue Blue Black Black Black
Black Black Yellow Black Black Blue Black Black Blue Black Black Black
Black Yellow Yellow Yellow Black Blue Black Black Blue Black Black Black
Black Black Yellow 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


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 Gray Gray Black Black Purple Red Purple Black Black Black
Black Black Gray Gray Gray Gray Red Red Red Black Black Black
Black Gray Gray Gray Gray Gray Red Black Red Black Black Black
Black Gray Gray Gray Gray Black Black Black Black Black Black Black
Black Black Black Gray Gray Blue Blue Blue Blue Black Black Black
Black Black Yellow Black Black Blue Green Green Blue Black Black Black
Black Yellow Yellow Yellow Black Blue Green Green Blue Black Black Black
Black Black Yellow 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
```
assistant