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 Red Red Red Black
Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Gray Black Black Black Black Black Black Black Red
Black Black Black Gray Black Gray Gray Gray Black Red Red Black
Black Black Black Gray Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Black Black Black Black Black
Black Black Gray Gray Gray Black Gray Black Black Black Black Black
Black Black Black Black Black Black Gray Black Black Black Black Black
Black Black Black Brown Brown Black Black Black Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Purple Black Purple Purple
Black Black Brown Black Black Brown Black Black Purple Purple Purple Black
Black Black Brown Brown Brown Brown Black Black Purple Purple Black Black

Output:
Black Black Black Black Black Black Black Black Red Red Red Black
Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Black Gray Black Black Black Black Black Black Black Red
Black Black Black Gray Black Gray Gray Gray Black Red Red Black
Black Black Black Gray Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Black Black Black Black Black
Black Black Gray Gray Gray Black Gray Black Black Black Black Black
Black Black Black Black Black Black Gray Black Black Black Black Black
Black Black Black Brown Brown Black Black Black Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Purple Red Purple Purple
Black Black Brown Black Black Brown Black Black Purple Purple Purple Black
Black Black Brown Brown Brown Brown Black Black Purple Purple Black Black


Example 2
Input:
Black Black Black Black Black Black Green Green Black Black Black Black
Black Purple Purple Purple Black Black Green Green Green Green Green Black
Purple Black Black Purple Black Black Green Black Black Green Green Black
Purple Black Black Purple Black Green Green Black Black Green Black Black
Black Purple Purple Purple Black Green Green Green Green Green 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 Black Black Black Black Brown Brown Brown Brown Black Black
Black Black Black Black Black Brown Black Black Brown Brown Black Black
Black Black Black Black Black Brown Black Black Brown Brown Black Black
Black Black Black Black Black Brown Black Black Brown Brown Black Black
Black Black Black Black Black Brown Brown Brown Brown Black Black Black

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


Example 3
Input:
Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Yellow Black Black Black Black Black Black
Black Black Black Black Black Yellow Black Black Black Black Black Black
Black Black Black Black Black Yellow Black Black Black Black Black Yellow
Black Black Black Black Black Yellow Black Black Black Black Black Yellow
Black Black Black Black Black Black Black Black Black Black Black Yellow
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Black Brown Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black

Output:
Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Yellow Black Black Black Black Black Black
Black Black Black Black Black Yellow Black Black Black Black Black Black
Black Black Black Black Black Yellow Black Black Black Black Black Yellow
Black Black Black Black Black Yellow Black Black Black Black Black Yellow
Black Black Black Black Black Black Black Black Black Black Black Yellow
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Red Brown Black Black Black Black Black Black Black Black
Brown Brown Brown Brown 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 Blue Blue Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Black Blue Black Black Purple Black Purple Black
Black Black Black Black Black Blue Black Purple Purple Purple Purple Purple
Black Black Black Black Black Black Black Purple Black Black Purple Purple
Black Black Black Black Black Black Black Purple Black Black Purple Purple
Black Black Black Black Black Black Black Purple 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


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 Blue Blue Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Black Blue Black Black Purple Black Purple Black
Black Black Black Black Black Blue Black Purple Purple Purple Purple Purple
Black Black Black Black Black Black Black Purple Red Red Purple Purple
Black Black Black Black Black Black Black Purple Red Red Purple Purple
Black Black Black Black Black Black Black Purple 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