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

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


Example 2
Input:
Black Black Blue Blue Black Black Black Black Black Black
Gray Gray Blue Blue Red Red Black Black Black Black
Gray Gray Black Black Red Red Black Black Yellow Yellow
Black Red Black Black Black Black Black Black Yellow Black
Black Blue Blue Blue Blue Blue Blue Black Black Black
Black Blue Blue Blue Blue Blue Blue Black Black Black
Black Blue Blue Blue Blue Blue Blue Black Pink Black
Blue Blue Blue Black Black Red Black Black Black Black
Blue Blue Blue Black Yellow Red Red Gray Gray Black
Blue Blue Blue Yellow Yellow Black Black Gray Gray Black

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


Example 3
Input:
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 Purple Purple Blue Blue Blue Black Black
Black Gray Gray Black Black Purple Purple Blue Blue Blue Black Black
Black Gray Gray Black Black Black Black Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Blue Blue Blue Black
Black Black Black Black Black Black Black Black Blue Blue Blue Black
Black Black Black Black Brown Black Black Black Blue Blue Blue Black
Black Yellow Yellow Black Blue Blue Blue Black Yellow Yellow Black Black
Black Yellow Yellow Black Blue Blue Blue Black Yellow Yellow Black Black
Black Black Black Black Blue Blue Blue Black Black Black Black Black
Black Green Black Black Black Black Green Black Black Black Black Black
Black Black Black Black Black Green Green Black Pink Black Black Black

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


Here is the input grid for the test example:
Input:
Black Purple Purple Black Black Black Black Black Black Black Black
Black Purple Purple Black Black Black Black Purple Purple Black Black
Orange Black Black Red Black Black Black Purple Purple Black Black
Black Green Blue Blue Blue Black Black Brown Black Black Black
Black Black Blue Blue Blue Black Black Blue Blue Blue Black
Black Black Blue Blue Blue Black Black Blue Blue Blue Black
Blue Blue Orange Black Blue Blue Blue Blue Blue Blue Black
Blue Blue Black Black Blue Blue Blue Black Black Black Black
Black Black Black Black Blue Blue 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


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