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 Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Purple Purple Purple Purple Black
Black Orange Black Orange Black Red Red Purple Purple Purple Purple Black
Orange Orange Orange Orange Orange Red Red Purple Purple Purple Purple Black
Black Orange Orange Orange Black Yellow Yellow Black Black Black Black Black
Orange Orange Orange Orange Orange Gray Gray Black Black Black Black Black
Black Orange Black Orange Black Yellow Yellow Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black

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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Blue Blue Black Black Black Black Black
Black Black Black Black Black Blue Blue Black Black 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 Blue Black Blue Blue Blue Blue Blue Blue Black Black Black
Black Blue Blue Blue Black Blue Blue Black Black Black Black Black
Black Blue Blue Blue Black Blue Blue Black Black Black Black Black
Black Blue Black Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Black Blue Blue Blue Black Black Black
Black Black Black Black Black Black Black Blue Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Black Black Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Gray Black Yellow Black Black Yellow Black Black Black Black
Black Black Gray Gray Gray Blue Blue Black Black Black Black Black
Black Gray Gray Gray Black Black Orange Black Black Black Black Black
Black Black Black Gray Black Black Orange Black Black Black Black Black
Black Black Black Black Black Black Orange Black Black Black Black Black
Black Black Black Black Black Black Orange Black Black Black Black Black

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