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

Output:
Black Black Red Red Black Black Black Brown Brown Purple Purple Blue Black
Red Red Red Red Black Black Black Brown Brown Purple Blue Blue Blue
Red Red Red Red Black Black Black Brown Brown Red Black Blue Black
Black Black Red Red Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Red Red Red Black Black Black
Black Black Black Black Black Black Black Red Red Red Black Black Black
Black Black Red Red Black Black Black Red Brown Red Black Black Black
Red Red Red Red Black Black Black Red Brown Red Black Blue Black
Red Red Red Red Black Black Black Purple Purple Purple Purple Blue Blue
Black Black Red Red Black Black Black Purple Purple Purple Purple Blue 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 Gray Gray Black
Black Black Black Black Black Black Black Black Black Gray Gray Black
Black Black Black Black Red Red Red Black Black Black Black Black
Black Black Black Black Red Black Red Black Black Black Black Black
Black Black Black Black Red Red Red Gray Gray Black Black Black
Black Black Black Black Red Black Red Gray Gray Black Black Black
Black Black Green Black Green Black Black Black Black Black Black Black
Black Black Green Black Green Black Black Black Black Black Black Black
Black Black Green Green Green Brown Brown Black Black Black Black Black
Black Black Green Green Green Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black

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


Example 3
Input:
Black Black Blue Blue Blue Black Black Red Black Black Black Black
Black Blue Blue Blue Black Black Red Red Red Black Black Black
Black Black Blue Blue Blue Black Black Red Black Yellow Black Black
Black Black Black Black Gray Gray Black Black Yellow Yellow Yellow Black
Black Black Black Black Gray Gray Black Black Black Yellow Black Black
Black Gray Gray Black Black Black Black Black Black Gray Gray Gray
Black Gray Gray Blue Blue Blue Blue Black Black Gray Gray Gray
Black Black Black Black Blue Blue Black Black Black Gray Gray Gray
Black Black Black Black Black Pink Pink Pink Pink Black Black Black
Black Black Black Black Black Pink Pink Pink 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

Output:
Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Red Black Black Black
Black Blue Blue Blue Blue Black Black Red Black Yellow Black Black
Black Black Blue Blue Blue Blue Black Black Yellow Yellow Yellow Black
Black Black Blue Blue Black Black Black Black Black Yellow Black Black
Black Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Blue Blue Blue Blue Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Pink Pink Pink Pink Black Black Black
Black Black Black Black Black Pink Pink Pink 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


Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Purple Purple Black Gray Gray Gray Black Black Black Black
Black Black Black Black Purple Purple Black Gray Gray Gray Black Black Black Black
Black Black Black Black Purple Purple Black Gray Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Red Red Red Black Black Black Black
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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown 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:

```
Red Red Red Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Yellow Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Red Red Black Black Black Black
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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black
```
assistant