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 Yellow Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Black Black
Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Black
Blue Yellow Yellow Blue Blue Blue Blue Yellow Yellow Blue
Blue Yellow Blue Yellow Yellow Yellow Yellow Blue Yellow Blue
Blue Yellow Blue Yellow Blue Blue Yellow Blue Yellow Blue
Blue Yellow Blue Yellow Blue Blue Yellow Blue Yellow Blue
Blue Yellow Blue Yellow Yellow Yellow Yellow Blue Yellow Blue
Blue Yellow Yellow Blue Blue Blue Blue Yellow Yellow Blue
Black Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Black
Black Black Blue Blue Blue Blue Blue Blue 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 Black Black
Black Black Black Black 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

Output:
Black Black Blue Blue Blue Blue Blue Blue Black Black
Black Blue Green Green Green Green Green Green Blue Black
Blue Green Green Blue Blue Blue Blue Green Green Blue
Blue Green Blue Green Green Green Green Blue Green Blue
Blue Green Blue Green Blue Blue Green Blue Green Blue
Blue Green Blue Green Blue Blue Green Blue Green Blue
Blue Green Blue Green Green Green Green Blue Green Blue
Blue Green Green Blue Blue Blue Blue Green Green Blue
Black Blue Green Green Green Green Green Green Blue Black
Black Black Blue Blue Blue Blue Blue Blue 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 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 Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Black Black
Black Blue Gray Gray Gray Gray Gray Gray Blue Black
Blue Gray Gray Blue Blue Blue Blue Gray Gray Blue
Blue Gray Blue Gray Gray Gray Gray Blue Gray Blue
Blue Gray Blue Gray Blue Blue Gray Blue Gray Blue
Blue Gray Blue Gray Blue Blue Gray Blue Gray Blue
Blue Gray Blue Gray Gray Gray Gray Blue Gray Blue
Blue Gray Gray Blue Blue Blue Blue Gray Gray Blue
Black Blue Gray Gray Gray Gray Gray Gray Blue Black
Black Black Blue Blue Blue Blue Blue Blue 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 Black Black
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 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 Blue Blue Blue Blue Blue Blue Black Black
Black Blue Purple Purple Purple Purple Purple Purple Blue Black
Blue Purple Purple Blue Blue Blue Blue Purple Purple Blue
Blue Purple Blue Purple Purple Purple Purple Blue Purple Blue
Blue Purple Blue Purple Blue Blue Purple Blue Purple Blue
Blue Purple Blue Purple Blue Blue Purple Blue Purple Blue
Blue Purple Blue Purple Purple Purple Purple Blue Purple Blue
Blue Purple Purple Blue Blue Blue Blue Purple Purple Blue
Black Blue Purple Purple Purple Purple Purple Purple Blue Black
Black Black Blue Blue Blue Blue Blue Blue Black Black
```
assistant