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
Blue Red Red Red Red Red Blue Blue Blue Blue Blue Blue
Blue Red Brown Brown Brown Brown Blue Yellow Yellow Yellow Yellow Yellow
Blue Red Brown Brown Brown Brown Blue Yellow Yellow Yellow Yellow Yellow
Blue Red Brown Green Green Green Blue Yellow Yellow Yellow Yellow Yellow
Blue Red Brown Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Blue Red Brown Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Blue Red Red Green Yellow Yellow Yellow Yellow Blue Blue Blue Blue
Black Black Black Green Yellow Yellow Yellow Yellow Green Black Black Black
Black Black Black Green Green Green Green Green Green 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

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


Example 2
Input:
Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black
Pink Gray Green Green Green Green Gray Black Black Black Black Black Black Black
Pink Gray Green Green Green Green Gray Black Black Black Black Black Black Black
Pink Gray Green Green Green Green Gray Black Black Black Black Black Black Black
Pink Gray Green Green Green Green Gray Brown Brown Brown Brown Black Black Black
Pink Gray Green Green Green Green Gray Gray Gray Gray Brown Black Black Black
Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Black Black Black
Black Black Black Black Black Black Brown Gray Gray Gray Brown Black Black Black
Black Black Black Black Black Black Brown Gray Gray Gray Brown Black Black Black
Black Black Black Black Black Black Brown Brown Brown Brown Brown 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

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


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 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 Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Blue Blue Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Blue Yellow Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Blue Yellow Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Blue Yellow Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Blue Yellow Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Blue Blue Blue Green Green Green Green Green 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 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 Gray Gray Gray Gray Gray Gray Black Black Black Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black


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