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 Blue Blue Black Black Black Blue Black Blue Blue Blue Blue Black Blue Blue
Blue Black Black Black Blue Blue Blue Black Blue Blue Black Blue Blue Black Black
Blue Blue Black Blue Black Black Blue Blue Blue Black Blue Blue Blue Blue Blue
Black Black Blue Blue Blue Black Blue Blue Black Black Blue Black Black Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Black Blue Black Blue Blue Blue Black Black Black Black Black Black Blue Blue

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow Black Black Black
Black Black Black Black Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Black
Black Black Black Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow
Black Black Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Black Black Yellow Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow


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


Example 3
Input:
Black Purple Black Black Purple Black Black Purple Purple Purple Purple
Black Black Purple Purple Purple Purple Purple Purple Black Purple Black
Black Black Purple Black Black Purple Purple Black Black Black Purple
Purple Purple Black Purple Black Black Black Black Purple Black Purple
Black Purple Purple Purple Black Purple Black Purple Purple Black Black
Purple Black Purple Black Purple Black Purple Black Black Purple Purple
Purple Purple Purple Purple Black Purple Black Purple Black Black Black
Black Purple Black Black Black Black Purple Purple Purple Black Purple
Purple Black Black Purple Black Black Black Purple Purple Purple Purple
Black Purple Black Yellow Yellow Yellow Yellow Yellow Purple Purple Black
Purple Black Purple Yellow Yellow Yellow Yellow Yellow Purple Black Black
Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Purple
Purple Black Purple Yellow Yellow Yellow Yellow Yellow Black Black Purple
Black Purple Black Yellow Yellow Yellow Yellow Yellow Purple Purple Purple

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 Yellow Black Black Black
Black Black Black Black Black Black Yellow Yellow Yellow Black Yellow
Black Black Black Yellow Black Black Black Yellow Yellow Yellow Yellow
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Yellow
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow


Here is the input grid for the test example:
Input:
Black Orange Black Black Black Orange Black Black Orange Black Black Black
Orange Blue Blue Blue Blue Blue Blue Black Orange Black Black Black
Black Blue Blue Blue Blue Blue Blue Orange Black Orange Black Black
Black Blue Blue Blue Blue Blue Blue Black Orange Orange Black Black
Orange Blue Blue Blue Blue Blue Blue Black Black Orange Orange Orange
Orange Blue Blue Blue Blue Blue Blue Black Orange Orange Black Orange
Black Blue Blue Blue Blue Blue Blue Orange Black Black Orange Orange
Orange Black Black Orange Black Black Black Orange Black Orange Orange Black
Orange Orange Black Black Orange Black Orange Orange Black Orange Orange Orange
Black Orange Orange Black Black Black Orange Black Orange Black Black Orange


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 Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Yellow Yellow Black Yellow
Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Yellow Yellow Black
Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow
```
assistant