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 Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Black Purple Black Blue Black Black Black Black Black Black Gray Gray Gray
Black Black Black Black Black Black Black Black Blue Purple Purple Purple Blue Black Black Black Black Black Gray Gray Gray Black
Black Black Black Black Black Black Black Black Blue Black Purple Black Blue Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Brown Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Yellow Black Black Yellow Blue Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Yellow Yellow Yellow Yellow Blue Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Yellow Yellow Yellow Yellow Blue 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 Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Black Yellow Black Blue Black Black Black Black Black Black Gray Gray Gray
Black Black Black Black Black Black Black Black Blue Yellow Yellow Yellow Blue Black Black Black Black Black Gray Gray Gray Black
Black Black Black Black Black Black Black Black Blue Black Yellow Black Blue Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Brown Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Yellow Black Black Yellow Blue Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Yellow Yellow Yellow Yellow Blue Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Yellow Yellow Yellow Yellow Blue 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 Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Green Green Green Green Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black
Black Black Green Green Green Green Black Black Black Black Black Black Black Black 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 Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple 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 Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Orange Orange Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Orange Orange Black Black Black Black Blue Orange Orange Blue Black Black Black Black Black Black Black Black Black
Black Orange Orange Black Black Black Black Blue Orange Orange Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Blue Orange Orange Blue 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 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 Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Green Green Green Green Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black
Black Black Green Green Green Green Black Black Black Black Black Black Black Black 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 Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple 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 Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Orange Orange Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Orange Orange Black Black Black Black Blue Yellow Yellow Blue Black Black Black Black Black Black Black Black Black
Black Orange Orange Black Black Black Black Blue Yellow Yellow Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Blue Yellow Yellow Blue 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 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 Green Green Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Black Black Black Green Green Green Black Black Black Blue Gray Gray Gray Gray Blue Black Black Black
Black Black Black Black Black Black Black Green Green Black Black Black Blue Black Gray Gray Black Blue Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Green Green Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Black Black Black Green Green Green Black Black Black Blue Yellow Yellow Yellow Yellow Blue Black Black Black
Black Black Black Black Black Black Black Green Green Black Black Black Blue Black Yellow Yellow Black Blue Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black
Black Black Black Black 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 Red Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Red Red Red Black 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Black Red Red Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Red Red Black Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black
Blue Red Red Black Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black
Blue Black Red Red Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black
Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue 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
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 Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black
Black Black Black Black 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 Red Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Red Red Red Black 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Black Yellow Yellow Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Yellow Yellow Black Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black
Blue Yellow Yellow Black Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black
Blue Black Yellow Yellow Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black
Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue 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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant