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 Purple Purple Purple Purple 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 Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Black Purple Purple Black 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 Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Gray Black Purple Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Purple 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

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 Purple Purple Purple Purple 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 Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Black Purple Purple Black 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 Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Red Black Purple Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Purple 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


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 Yellow Black Black Yellow Black Black
Black Black Black Black Black Black Black Pink Pink Black Red Yellow Yellow Black Black
Black Black Black Black Black Black Black Pink Black Yellow Red Yellow Black Black Black
Black Black Black Black Black Black Black Black Orange Yellow Yellow Black Yellow Black Black
Black Black Black Black Black Black Black Black Orange Orange 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 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

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 Yellow Black Black Red Black Black
Black Black Black Black Black Black Black Pink Pink Black Red Red Red Black Black
Black Black Black Black Black Black Black Pink Black Yellow Red Red Black Black Black
Black Black Black Black Black Black Black Black Orange Yellow Yellow Black Red Black Black
Black Black Black Black Black Black Black Black Orange Orange 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 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


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 Green Green Black Black Black Black Black
Black Black Black Black Black Black Black Blue Blue Black Green 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 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 Pink Pink Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black
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 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 Green Green Black Black Black Black Black
Black Black Black Black Black Black Black Red Red Black Green Black 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 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 Red Red 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 Black Black Black Black 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


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 Brown Brown Brown 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 Red Brown Brown 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 Black Black Black Black Black Black Black Black Black Black 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 Orange Black Black Black
Black Black Black Black Green Green Black Black Orange Orange Black Black Black Black
Black Black Black Black Green 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 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 Brown Brown Brown 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 Red Brown Brown 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 Black Black Black Black Black Black Black Black Black Black 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 Orange Black Black Black
Black Black Black Black Red Red Black Black Red Red Black Black Black Black
Black Black Black Black Red Black 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
```
assistant