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 Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Pink Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Orange
Black Black Black Black Black Black Purple Purple Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Green Yellow Black Black Black Black Orange Black Red 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 Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Red Purple Purple Purple Black Black Black Black Black
Pink Black Black Black Purple Purple Purple Orange Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Orange
Black Black Black Black Black Black Purple Purple Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Green Yellow Black Black Black Black Orange Black Red Black Black Black


Example 2
Input:
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 Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black 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 Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Black Purple Purple Purple Purple Purple 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 Black Black Black Black Black Black 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
Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black

Output:
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 Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black 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 Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Pink Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Black Purple Purple Purple Purple Purple 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 Black Black Black Black Black Black 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
Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black


Example 3
Input:
Black Black Black Brown 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 Purple Black Black Black Black Black
Black Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Black Purple Purple Purple Purple Purple Black Black Green
Black Black Black Black Purple Purple Purple Purple Purple 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 Black Black
Black Black Black Black Black Black Black 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 Brown Pink Black

Output:
Black Black Black Brown 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 Purple Black Black Black Black Black
Black Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Purple Purple Pink Purple Purple Black Black Black
Black Black Black Purple Purple Brown Purple Purple Purple Purple Black Black
Black Black Black Black Purple Purple Purple Purple Purple Black Black Green
Black Black Black Black Purple Purple Purple Purple Purple 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 Black Black
Black Black Black Black Black Black Black 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 Brown Pink Black


Here is the input grid for the test example:
Input:
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 Purple Black Black Black Black Black
Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Black 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
Red Black Blue Yellow Black Black Black Orange 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 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 Purple Black Black Black Black Black
Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Black Purple Purple Orange Purple Purple Black Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Black 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
Red Black Blue Yellow Black Black Black Orange Black Black Black
```
assistant