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

Output:
Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black
Black Black Black Black Black Black Black Black Black Gray Black Gray Black Black Black Black
Black Black Black Black Orange Black Black Black Green Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Pink Black Black Black Black Brown Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Gray Black Gray Black Black Black Black Blue Black Black Black Black Black
Black Black Gray Gray Gray Black Black Black Yellow Black Black Black Black Black Black Black
Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black
Black Black Gray Gray 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


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


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 Red Red Red Red
Black Black Black Red Black Black Black Black Black Black Red Red Red Red
Black Black Black Purple Black Black Black Red Black Black Red Red Red Red
Black Black Black Red Red Black Black Black Red Black Red Red Red Red
Black Black Black Red Orange Green Black Black Black Red Black Black Black Black
Red Red Red Black Red Black Black Black Red Black Black Black Black Black
Red Red Red Black Purple Red Green Black Black Black Black Black Black Black
Red Red Red Black Black Black Orange Black Black Black Red Black Black Black
Red Red Red Black Black Black Black Black Black 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
```
assistant