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 Purple Black Purple Purple Black Black Black Black Black
Black Purple Purple Purple Blue Blue Blue Black Black Black
Black Black Purple Purple Purple Blue Blue Black Black Black
Black Purple Purple Black Purple Blue Blue Black Black Black
Black Black Black Black Blue Blue Blue Black Gray Black
Black Black Black Black Yellow Yellow Yellow Yellow Gray Black
Black Black Brown Black Black Yellow Yellow Gray Gray Black
Black Black Brown Black Black Yellow Yellow Gray Black Black
Black Black Brown Black Black Black Black Black Black Black
Black Brown Brown Brown 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 Gray Black Gray Gray Black Black Black Black Black
Black Gray Gray Gray Gray Gray Gray Black Black Black
Black Black Gray Gray Gray Gray Gray Black Black Black
Black Gray Gray Black Gray Gray Gray Black Black Black
Black Black Black Black Gray Gray Gray Black Gray Black
Black Black Black Black Gray Gray Gray Gray Gray Black
Black Black Gray Black Black Gray Gray Gray Gray Black
Black Black Gray Black Black Gray Gray Gray Black Black
Black Black Gray Black Black Black Black Black Black Black
Black Gray Gray Gray 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 Gray Gray Gray Black Black Black Black Pink Pink Black Black
Black Gray Black Gray Black Black Purple Black Pink Pink Black Black
Black Black Black Black Purple Purple Purple Purple Pink Pink Black Black
Black Black Green Green Green Green Purple Black Black Orange Black Black
Black Black Green Green Green Green Orange Orange Orange Orange Black Black
Black Black Green Green Green Green Black Black Black Black Black Black
Black Black Green Green Green Green Black 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 Gray Gray Gray Black Black Black Black Gray Gray Black Black
Black Gray Black Gray Black Black Gray Black Gray Gray Black Black
Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black
Black Black Gray Gray Gray Gray Gray Black Black Gray Black Black
Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black
Black Black Gray Gray Gray Gray Black Black Black Black Black Black
Black Black Gray Gray Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black


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