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 Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black
Brown Black Black Black Black Black Black Black Black Purple Black Purple Black Purple Black Black Black
Black Brown Black Black Black Black Black Black Black Purple Black Purple Black Purple Black Black Black
Black Black Brown Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Black Brown 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 Black Black Black Black
Black Black Black Black Black Brown 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 Black Black
Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black

Output:
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple
Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Brown Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Brown Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Brown Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple


Example 2
Input:
Black Black Black Black Gray Black Black Black Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Gray Black Black Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Gray Black Black Purple Purple 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 Gray 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 Gray 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 Gray 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 Gray Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray

Output:
Black Black Black Black Gray Black Black Purple Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Gray Black Purple Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Black Black Black Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple
Black Black Black Purple Purple Purple Purple Purple Black Gray Black Black Purple Purple Purple Purple
Black Black Purple Purple Purple Purple Purple Black Black Black Gray Black Black Purple Purple Purple
Black Purple Purple Purple Purple Purple Black Black Black Black Black Gray Black Black Purple Purple
Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Gray Black Black Purple
Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Gray Black Black
Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Gray Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Gray


Example 3
Input:
Black Black Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Black Black Black Black
Black Red Red Red Black Black Black Black Black Black Red Black Black Black
Black Red Red Red Black Black Black Black Black Black Black Red Black Black
Black Red Black Red Black Black Black Black Black Black Black Black Red Black
Black Red Black Red Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Yellow Yellow 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

Output:
Red Black Black Black Red Red Red Red Red Red Black Red Black Red
Red Red Black Red Red Red Red Red Red Black Red Black Red Black
Red Red Red Red Red Red Red Red Black Red Black Red Black Red
Red Red Red Red Red Red Red Black Red Black Red Black Red Black
Red Red Red Red Red Red Black Red Black Red Black Red Black Red
Red Red Red Red Red Red Red Black Red Black Red Black Red Black
Red Red Red Red Red Red Red Red Black Red Black Red Black Red
Red Red Red Red Red Red Red Red Red Black Red Black Red Black
Red Red Yellow Red Red Red Red Red Red Red Black Red Black Black
Red Black Red Yellow Red Red Red Red Red Red Red Black Black Black
Black Red Yellow Red Black Red Red Red Red Red Red Black Black Black
Red Black Red Yellow Red Black Red Red Red Red Red Red Black Black
Black Red Yellow Red Black Red Black Red Red Red Red Red Red Black
Red Black Red Black Red Black Red Black Red Red Red Red Red Red


Here is the input grid for the test example:
Input:
Black Black Gray 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 Gray 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 Gray 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 Gray 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 Gray 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 Gray Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Gray
Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Black Blue Blue Blue Blue Blue Black Purple Purple Black Black Black Black Black
Black Blue Blue Black Black Black Black Purple Purple Black Black Purple Purple Black
Black Black Blue Black Black Black Black Purple Purple Purple Black Purple Purple Black
Black Black Blue Black Black Black Black Purple Purple Purple Purple Purple Purple 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 Gray Black Black Black Black Black Black Black Black Black Black Blue
Black Black Black Gray Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Gray Black Black Black Black Black Black Blue Blue Blue
Black Black Black Black Black Gray Black Black Black Black Blue Blue Blue Blue
Black Black Black Black Black Black Gray Black Black Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Gray Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black
Blue Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black
Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black
Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Black Gray Black Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Gray Black
Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Gray
Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Blue Purple Purple Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Blue Blue Purple Black Black Purple Purple Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Black Purple Purple Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Black
```
assistant