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 Brown Brown Brown Brown Black Black Black
Black Pink Pink Pink Pink Black Black Black Black Black Brown Brown Brown Brown Black Black Black
Black Pink Pink Pink Pink Black Black Black Black Black Brown Brown Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Black Black Pink Pink Pink Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Black Black Pink Pink Pink Black Black Black
Black Purple Purple Purple Black Brown Brown Brown Brown Black Black Pink Pink Pink Black Black Black
Black Purple Purple Purple Black Black Black Black 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 Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Purple Brown Brown Brown Brown Purple Black Black
Purple Pink Pink Pink Pink Purple Black Black Black Purple Brown Brown Brown Brown Purple Black Black
Purple Pink Pink Pink Pink Purple Black Black Black Purple Brown Brown Brown Brown Purple Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Purple Black Black
Black Black Black Black Purple Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Black Purple Brown Brown Brown Brown Purple Purple Pink Pink Pink Purple Black Black
Purple Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Pink Pink Pink Purple Black Black
Purple Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Pink Pink Pink Purple Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black 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


Example 2
Input:
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 Black Blue Blue Black Black Red Red Black Black Black Black
Black Gray Gray Black Black Blue Blue Black Black Red Red Black Black Black Black
Black Gray Gray Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black
Black Black Blue Blue Blue 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange 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 Black Black Black

Output:
Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Purple Blue Blue Purple Purple Purple Purple Purple Black Black Black
Purple Purple Purple Purple Purple Blue Blue Purple Purple Red Red Purple Black Black Black
Purple Gray Gray Purple Purple Blue Blue Purple Purple Red Red Purple Black Black Black
Purple Gray Gray Purple Purple Purple Purple Purple Purple Red Red Purple Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Purple Red Red Purple Black Black Black
Black Purple Blue Blue Blue Purple Black Black Purple Purple Purple Purple Black Black Black
Black Purple Blue Blue Blue Purple Black Black Black Black Black Black Black Black Black
Black Purple Blue Blue Blue Purple Black Black Black Black Purple Purple Purple Purple Purple
Black Purple Blue Blue Blue Purple Black Black Black Black Purple Orange Orange Orange Purple
Black Purple Purple Purple Purple Purple Black Black Black Black Purple Orange Orange Orange Purple
Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple


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 Red Red Red Red 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 Black Black Black Black Black Black Green Green Green Black
Black Black Black Black Purple Purple Purple Purple Black Black Black Black Green Green Green Black
Black Black Black Black Purple Purple Purple Purple Black Black Black Black Green Green 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 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 Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Purple Red Red Red Red Purple Black Black Black Black Black Black
Black Black Black Black Purple Red Red Red Red Purple Black Purple Purple Purple Purple Purple
Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Purple Green Green Green Purple
Black Black Black Purple Purple Purple Purple Purple Purple Black Black Purple Green Green Green Purple
Black Black Black Purple Purple Purple Purple Purple Purple Black Black Purple Green Green Green Purple
Black Black Black Purple Purple Purple Purple Purple Purple Black 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


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 Brown Brown Brown 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 Brown Brown Brown 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 Black Black Black Black Black Black Black
Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black
Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black
Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black
Black Black Black Black Black Black Gray Gray Gray Black Black Gray Gray Black
Black Black Black Black Black Black Gray Gray Gray 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 Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Purple Brown Brown Brown Purple Black Black Black Black
Black Black Black Black Black Purple Brown Brown Brown Purple Black Black Black Black
Black Black Black Black Black Purple Brown Brown Brown Purple Black Black Black Black
Black Black Black Black Black Purple Brown Brown Brown Purple Black Black Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Purple Brown Brown Brown Brown Purple Black Black Black Black Black Black Black Black
Purple Brown Brown Brown Brown Purple Black Black Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Gray Gray Purple
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Gray Gray Purple
Black Black Black Black Black Purple Gray Gray Gray Purple Purple Gray Gray Purple
Black Black Black Black Black Purple Gray Gray Gray Purple Purple Purple Purple Purple
Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black
```
assistant