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 Black Black 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 Black Yellow Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Black Black Pink Black Black Black Black Black Black
Black Black Black Red Black Gray Black Black 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 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 Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Red Red Red Black Black Black Black Black
Black Black Black Purple Purple Purple Purple Purple Yellow Green Black Black Black Black Black Black
Black Black Black Black Purple Purple Purple Purple Green Green Green Black Black Black Black Black
Black Black Purple Purple Purple Purple Yellow Yellow Yellow Green Orange Black Black Black Black Black
Black Black Purple Purple Purple Purple Purple Purple Blue Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Blue 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 Purple Black Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Black Blue 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 Black Black Black Black 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 Purple 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 Black Black Black Black Green Black Black Orange Black Black Black
Black Black Black Black Black Black Pink Black Black Brown Black Black Black Black
Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black 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 Yellow Black Black Black Black Black
Black Black Black Black Yellow Black Black Yellow Yellow Black Black Black Black Black
Black Black Black Black Yellow Black Black Yellow Yellow Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Yellow Yellow Blue Black Black Black Black
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black
Black Black Black Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Black
Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Purple Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Purple Purple Purple Purple Purple Purple Blue Blue Black Black Black Black
Black Black Black Black Purple Yellow Black Purple Blue Blue Black Black Black Black
Black Black Black Black Purple Yellow Black Purple 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


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