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:
Gray Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Gray Black Gray Black Black Brown Black
Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Gray Black Gray Black Black Black Brown Black
Black Black Gray Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Brown Black
Black Black Black Black Black Gray Black Gray Gray Black Gray Black Black Black Gray Black Black Gray Black Black Brown Black
Black Black Black Gray Black Gray Black Black Gray Black Black Black Black Black Black Black Black Gray Black Black Brown Black
Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Gray
Black Black Gray Black Gray Gray Black Gray Black Black Black Black Black Gray Gray Black Black Black Black Gray Brown Black
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Gray
Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Gray Black Black Gray Black Black Brown Black
Black Black Gray Black Black Black Gray Black Black Black Black Black Gray Black Black Black Gray Black Black Black Brown Black
Black Gray Black Gray Black Gray Black Gray Black Gray Black Black Black Black Black Gray Black Black Black Gray Brown Black
Black Black Gray Black Black Black Gray Black Black Black Black Gray Black Black Black Gray Black Black Black Gray Brown Black
Black Black Black Gray Black Black Black Black Black Gray Black Black Black Gray Black Black Black Black Black Gray Brown Black
Gray Gray Black Gray Black Black Gray Black Black Gray Gray Black Black Black Black Black Black Gray Black Black Brown Black
Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Gray Black Brown Gray
Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Brown Black
Black Black Gray Black Black Black Black Gray Black Black Gray Black Black Black Black Black Black Black Black Black Brown Black
Black Black Black Black Black Black Gray Black Gray Gray Gray Black Black Black Black Gray Black Black Black Black Brown Black

Output:
Brown


Example 2
Input:
Purple Purple Black Black Purple Black Purple Black Black Purple Purple Black Purple Purple Black Black Black Purple Purple Black
Black Black Black Black Black Purple Black Purple Black Black Black Black Black Black Purple Purple Black Purple Black Black
Black Black Black Black Black Black Black Purple Black Black Purple Black Black Black Black Black Purple Purple Black Purple
Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Purple Black Black Purple Black Black
Black Black Black Purple Black Black Purple Black Black Black Purple Black Black Black Black Purple Black Purple Black Black
Purple Black Black Black Black Black Purple Black Black Black Black Purple Black Black Purple Black Black Purple Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Purple Black Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Yellow Yellow
Black Black Purple Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black
Black Purple Black Purple Purple Black Black Black Black Black Black Black Purple Black Black Black Black Purple Black Purple
Black Black Black Black Black Black Black Black Purple Black Purple Black Purple Black Black Black Purple Purple Purple Black
Black Black Black Black Black Black Purple Black Black Black Black Black Purple Black Purple Purple Purple Purple Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Purple Black Purple
Purple Black Black Black Black Black Black Black Black Black Black Purple Black Black Purple Purple Black Purple Purple Purple
Black Black Purple Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Purple Black Purple
Black Black Black Black Black Purple Black Purple Black Purple Black Black Black Black Purple Black Black Purple Black Black
Black Black Black Black Black Black Black Purple Black Black Purple Black Black Black Black Black Black Purple Black Purple

Output:
Purple


Example 3
Input:
Black Black Black Black Orange Orange Black Black Black Blue Black Orange Black Orange Black Black Black Black Orange Orange Black
Black Black Black Black Orange Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black
Orange Black Black Orange Black Black Orange Black Black Blue Black Black Black Black Black Black Orange Orange Orange Black Black
Orange Black Orange Orange Black Black Black Orange Black Blue Black Black Black Black Orange Black Black Black Black Black Black
Black Black Black Black Orange Orange Orange Black Black Blue Orange Black Orange Black Orange Black Black Black Orange Black Black
Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Black Black Orange Black Orange Black Black Black Black Blue Black Black Orange Black Orange Black Black Orange Black Black Black
Orange Black Black Orange Black Orange Black Orange Black Blue Black Black Black Orange Black Orange Orange Orange Black Black Black
Black Black Black Black Black Black Black Orange Black Blue Orange Orange Black Black Black Black Black Black Black Orange Black
Orange Black Black Orange Black Black Black Black Black Blue Black Black Black Black Black Orange Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Blue Black Black Black Orange Black Black Black Orange Black Orange Orange
Black Orange Black Black Black Black Black Orange Black Blue Black Black Black Black Black Black Black Black Black Orange Black
Orange Black Black Orange Black Black Black Black Black Blue Black Black Black Black Black Black Orange Black Black Black Black
Black Black Black Black Black Orange Black Orange Black Blue Black Black Black Black Black Black Black Black Orange Black Black
Black Black Black Black Black Orange Black Black Black Blue Black Orange Black Black Black Black Orange Black Orange Black Black
Orange Black Black Black Black Black Black Orange Black Blue Black Black Orange Orange Orange Black Black Black Orange Black Black
Black Black Black Black Orange Black Orange Black Black Blue Black Black Orange Black Black Black Black Black Black Black Black

Output:
Blue


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

```
Purple
```
assistant