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 Black Black
Black Black Black Black Purple Blue Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Brown 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 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 Purple Purple Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Brown Brown Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Brown Brown 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 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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black 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 Brown Purple
Black Black Black Black Black Black Black Black Black Black Black Black Purple Brown Purple
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 Brown Black 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

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