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 Purple Purple Purple Purple Black Black Black Black Black Blue Blue Blue Black Black Black Black
Black Purple Purple Purple Purple Black Black Black Black Black Blue Blue Blue Black Black Black Black
Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Black Purple Black Purple Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Purple Purple Black Blue Black Black Black Blue Black Black Black Black Black
Black Black Black Purple Purple Purple Black Blue Blue Black Blue Blue Black Black Black Black Black
Black Black Black Black Black Black Black Blue 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

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 Orange Orange Orange Orange Black Black Black Black Black Orange Orange Orange Black Black Black Black
Black Orange Purple Purple Orange Black Black Black Black Black Orange Orange Orange Black Black Black Black
Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Orange Black Orange Black Orange Black Black Black
Black Black Black Black Black Black Black Black Black Orange Orange Purple Orange Orange Black Black Black
Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Black Black Black
Black Black Black Orange Purple Orange Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Orange Purple Orange Black Orange Black Black Black Orange Black Black Black Black Black
Black Black Black Orange Orange Orange Black Orange Orange Black Orange Orange Black Black Black Black Black
Black Black Black Black Black Black Black Orange Orange Orange Orange Orange 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 Black Black Black Black Black Black Black Black 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 Black Black Black Purple Purple Purple Purple Purple Black
Black Black Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Black
Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Purple Black Purple Black Black Black Black Black Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black
Black Blue Blue Black Black Black Black Black Black Black Black Purple Purple Purple Black
Black Blue Blue Black Black Black Black Blue Blue Blue Black Purple Purple Purple Black
Black Blue Blue Black Black Black Black 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 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 Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Black
Black Black Orange Purple Purple Purple Orange Black Black Orange Orange Orange Orange Orange Black
Black Black Orange Purple Orange Purple Orange Black Black Black Black Black Black Black Black
Black Black Black Orange Black Orange Black Black Black Black Black Orange Orange Orange Black
Black Black Black Black Black Black Black Black Black Black Black Orange Purple Orange Black
Black Orange Orange Black Black Black Black Black Black Black Black Orange Purple Orange Black
Black Orange Orange Black Black Black Black Orange Orange Orange Black Orange Orange Orange Black
Black Orange Orange Black Black Black Black Orange Orange Orange Black Black Black Black Black
Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Blue Black Black Black Black
Black Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Blue 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 Black Black Black Blue Blue Blue Blue Black Black
Black Black Black Purple Purple Purple Black Black Black Black Blue Blue Blue Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black
Black Black Black Black Black Black Blue Black Black Black Blue Blue Blue Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black
Black Black Black Black Black 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 Black

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Orange Orange Orange Orange Black Black Black Black Black Black Orange Black Black Black Black
Black Orange Orange Orange Orange Black Black Black Black Black Orange Blue Orange Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Black Black
Black Black Black Orange Orange Orange Black Black Black Black Orange Blue Orange Black Black Black
Black Black Black Black Black Black Black Black Black Black Orange Blue Orange Black Black Black
Black Black Black Black Black Black Orange Black Black Black Orange Blue Orange Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Orange Orange Orange Orange Black Black
Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black 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 Purple Purple Black Black
Black Purple Purple Black Black Black Black Black Black Black Purple Purple Black Black
Black Purple Purple Black Black Black Black Black Black Black Purple Purple Black Black
Black Purple Purple Black Black Black Black Black Black Black Black Black 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 Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black
Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Blue 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 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 Orange Orange Black Black
Black Orange Orange Black Black Black Black Black Black Black Orange Orange Black Black
Black Orange Orange Black Black Black Black Black Black Black Orange Orange Black Black
Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black
Black Black Orange Blue Orange Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black
Black Black Black Black 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