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 Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black
Black Black Purple Purple Purple Black Black Black Blue Black Black Black Brown Black Black Brown Black
Black Black Purple Purple Purple Black Black Black Black Black Black Black Brown Brown Brown Brown Black
Black Black Purple Purple Purple Black Black Black Black Black Black Black Brown Brown Brown Brown Black
Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Orange Black Black Orange Black Black Black
Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Green Green
Black Black Brown Black Black Black Black Black Black Black Orange Orange Orange Orange Black Green Green
Black Black Brown Black Black Black Black Gray Black Black Orange Black Black Orange Black Green Green
Black Black Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black Green Green
Black Brown Brown Black Black Black Black Gray Black Black Black Black Black Black Black Green Green

Output:
Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black
Black Black Purple Purple Purple Black Black Black Blue Black Black Black Brown Black Black Brown Black
Black Black Purple Purple Purple Black Black Black Black Black Black Black Brown Brown Brown Brown Black
Black Black Purple Purple Purple Black Black Black Black Black Black Black Brown Brown Brown Brown Black
Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Orange Black Black Orange Black Black Black
Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Green Green
Black Black Blue Black Black Black Black Black Black Black Orange Orange Orange Orange Black Green Green
Black Black Blue Black Black Black Black Gray Black Black Orange Black Black Orange Black Green Green
Black Black Blue Black Black Black Gray Gray Gray Black Black Black Black Black Black Green Green
Black Blue Blue Black Black Black Black Gray Black Black Black Black Black Black Black Green Green


Example 2
Input:
Black Black Black Black Black Black Black Gray Black Gray Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black
Purple Purple Purple Black Orange Orange Black Black Black Black Black Black Black Gray Black Black
Purple Purple Purple Black Orange Orange Black Black Black Black Gray Gray Gray Gray Gray Black
Purple Purple Purple Black Orange Orange 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 Black Black Black Black Pink Pink Pink Pink Black Green Green Black Black Black
Black Black Black Black Black Black Pink Pink Pink Pink Black Green Green Black Brown Brown
Black Black Black Black Black Black Pink Pink Pink Pink Black Green Green Black Brown Brown
Black Black Black Black Black Pink Pink Pink Pink Pink Black Green Green Black Brown Brown
Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Brown Brown

Output:
Black Black Black Black Black Black Black Gray Black Gray Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black
Purple Purple Purple Black Orange Orange Black Black Black Black Black Black Black Blue Black Black
Purple Purple Purple Black Orange Orange Black Black Black Black Blue Blue Blue Blue Blue Black
Purple Purple Purple Black Orange Orange 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 Black Black Black Black Pink Pink Pink Pink Black Green Green Black Black Black
Black Black Black Black Black Black Pink Pink Pink Pink Black Green Green Black Brown Brown
Black Black Black Black Black Black Pink Pink Pink Pink Black Green Green Black Brown Brown
Black Black Black Black Black Pink Pink Pink Pink Pink Black Green Green Black Brown Brown
Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Brown Brown


Example 3
Input:
Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Gray Gray Black Black Yellow Black Black Orange Orange Orange Orange Orange
Black Black Gray Gray Black Black Black Black Black Orange Orange Orange Orange Orange
Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Gray Gray Black Black Pink Pink Pink Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Pink Black Black Red Red Black
Red Red Red Red Red Black Black Black Black Black Black Red Red Black
Red Black Black Black Red Black Black Blue Blue Black Black Red Red Black
Black Black Black Black Black Black Blue Blue Black Black Black Red Red Black
Black Red Red Black Black Black Blue Blue Black Black Black Red Red Black
Black Black Red Black Black Black Black Blue Blue 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

Output:
Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Gray Gray Black Black Yellow Black Black Orange Orange Orange Orange Orange
Black Black Gray Gray Black Black Black Black Black Orange Orange Orange Orange Orange
Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Gray Gray Black Black Pink Pink Pink Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Pink Black Black Red Red Black
Blue Blue Blue Blue Blue Black Black Black Black Black Black Red Red Black
Blue Black Black Black Blue Black Black Blue Blue Black Black Red Red Black
Black Black Black Black Black Black Blue Blue Black Black Black Red Red Black
Black Red Red Black Black Black Blue Blue Black Black Black Red Red Black
Black Black Red Black Black Black Black Blue Blue 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


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 Yellow Black Black Black Black Black Black Black Black Black Black Black
Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Black
Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple
Black Yellow Yellow Yellow Yellow Black Black Black Black Black Purple Purple Purple Black
Black Yellow Yellow Yellow Black Black Black Black Black Black Black Purple Purple Purple
Black Black Black Black Black Gray Gray Black Black Black Black Purple Purple Black
Black Black Black Black Black Gray Black Black Black Orange Black Black Black Black
Black Black Black Black Black Gray Black Black Orange Orange Orange Black Black Black
Black Black Black Black Black Gray Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Gray Gray Black Black Black Black Purple Purple Black
Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black
Black Orange Orange Black Black Black Black Black Pink Black Black Purple Purple Black
Black Orange Orange Orange Black Black Black Pink Pink Pink Black Purple Purple Black
Black Orange Orange Black Black Black Black Pink Pink Pink Black Purple Purple Black
Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Black
Black Orange Orange Black Black Black Black Black Pink 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 Yellow Black Black Black Black Black Black Black Black Black Black Black
Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Black
Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple
Black Yellow Yellow Yellow Yellow Black Black Black Black Black Purple Purple Purple Black
Black Yellow Yellow Yellow Black Black Black Black Black Black Black Purple Purple Purple
Black Black Black Black Black Gray Gray Black Black Black Black Purple Purple Black
Black Black Black Black Black Gray Black Black Black Orange Black Black Black Black
Black Black Black Black Black Gray Black Black Orange Orange Orange Black Black Black
Black Black Black Black Black Gray Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Gray Gray Black Black Black Black Blue Blue Black
Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black
Black Blue Blue Black Black Black Black Black Pink Black Black Blue Blue Black
Black Blue Blue Blue Black Black Black Pink Pink Pink Black Blue Blue Black
Black Blue Blue Black Black Black Black Pink Pink Pink Black Blue Blue Black
Black Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Black
Black Blue Blue Black Black Black Black Black Pink Black Black Black Black Black
```
assistant