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

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

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