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