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

Output:
Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple
Blue Blue Blue Blue Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple
Blue Blue Blue Black Black Purple Purple Purple Brown Brown Brown Black Purple Purple Purple Black Black
Black Purple Purple Purple Purple Black Black Black Brown Brown Black Black Purple Purple Purple Black Black
Black Purple Purple Purple Purple Black Black Black Brown Brown Brown Purple Blue Blue Blue Black Black
Black Purple Purple Purple Purple Black Black Black Brown Brown Black Purple Blue Blue Blue Black Black
Black Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Black Black
Black Purple Black Purple Black Black Purple Purple Purple Purple Purple Purple Blue Blue Blue Black Black
Black Purple 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 Purple Purple Purple Black Purple 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
Red Black Red Black Black Black Black Black Gray Gray Gray Black Black Black Black
Red Black Red Black Black Black Black Black Gray Gray Gray Black Red Black Red
Red Red Red Black Black Black Black Black Gray Black Gray Black Red Red Red
Red Red Red 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 Gray Gray Gray Black Black Black Black Black Pink Pink Pink
Black Black Black Black Gray Black Gray Black Black Black Black Black Pink Pink Black
Black Black Black Black Gray Gray Gray Black Black Black Black Black Pink Pink Black
Black Black Black Black Gray Black Gray Black Black Black Black Black Pink 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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Black Red Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black Black
Red Black Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Black Red
Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red
Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Black Red
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple
Black Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Pink Pink Pink
Black Black Black Black Gray Black Gray Purple Purple Purple Purple Purple Pink Pink Black
Black Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Pink Pink Black
Black Black Black Black Gray Black Gray Purple Purple Purple Purple Purple Pink 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


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Purple Black Black Pink Pink Pink Black Black Black Black Black Black
Black Purple Purple Purple Purple Purple Black Pink Pink Black Black Black Purple Black Purple Black
Black Purple Purple Black Purple Purple Black Pink Pink Black Black Purple Purple Purple Purple Purple
Black Black Black Black Black Black Black Pink Pink Pink Black Purple Purple 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 Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black
Brown Brown Brown Brown Black Black Black Black Brown Brown Black Brown Brown Black Black Black
Brown Brown Brown Brown Black Black Black Black Brown Brown Black Brown Brown Black Black Black
Brown Black Black Brown Black Black Black Black Brown Black Black Black Brown 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 Purple Purple Purple Black Purple Pink Pink Pink Black Black Black Black Black Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Black Purple Black
Black Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Purple Black Black Black Pink Pink Pink Purple Purple Purple Purple Purple Purple
Black Purple Purple Purple Black Black Black Black Purple Purple Black Purple Purple Black Black Black
Black Purple Purple Purple Black Black Black Black Purple Purple Black Purple Purple Black Black Black
Black Purple Purple Purple Black Black Black Black Brown Brown Brown Brown Brown Black Black Black
Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Black Brown Brown Black Black Black
Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Black Brown Brown Black Black Black
Brown Black Black Brown Purple Purple Purple Purple Brown Black Black Black Brown 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 Brown Brown Black Black Black Black Black Black
Black Black Black Black Black 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 Black Black Brown Brown Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow
Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Black
Black Blue Blue Black Blue Blue Black Black Black Black Black Yellow Yellow Yellow
Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow
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 Yellow Yellow Yellow Yellow Black Black Black Blue Black
Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Blue Blue Blue
Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Blue 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 Brown Brown Black Black Black Black Black Black
Black Black Black Black Black 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 Black Black Brown Brown Purple Purple Purple Black Yellow Yellow
Black Black Black Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow
Black Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Black Yellow Black
Black Blue Blue Black Blue Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow
Black Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Black Yellow Yellow
Black Black Black Blue Black Purple Purple Purple Black Black Black Purple Purple Purple
Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple
Black Black Black Black Black Yellow Yellow Yellow Yellow Purple Purple Black Blue Black
Black Black Black Black Black Yellow Yellow Yellow Yellow Purple Purple Blue Blue Blue
Black Black Black Black Black Yellow Yellow Yellow Yellow Purple Purple Black Blue Black
```
assistant