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

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


Example 2
Input:
Black Yellow Black Black Gray
Black Brown Black Red Black
Black Black Green Black Black
Black Black Black Black Gray
Black Pink Black Black Black
Black Black Black Black Brown

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

Output:
Blue Blue Black Black Green Green Black Black Black Black Black Black Blue Blue Black Black Green Green Black Black
Blue Blue Black Black Green Green Black Black Black Black Black Black Blue Blue Black Black Green Green Black Black
Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black
Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black
Red Red Gray Gray Orange Orange Black Black Green Green Black Black Red Red Gray Gray Orange Orange Black Black
Red Red Gray Gray Orange Orange Black Black Green Green Black Black Red Red Gray Gray Orange Orange Black Black
Gray Gray Black Black Blue Blue Red Red Black Black Black Black Gray Gray Black Black Blue Blue Red Red
Gray Gray Black Black Blue Blue Red Red Black Black Black Black Gray Gray Black Black Blue Blue Red Red
Blue Blue Black Black Green Green Gray Gray Black Black Black Black Blue Blue Black Black Green Green Gray Gray
Blue Blue Black Black Green Green Gray Gray Black Black Black Black Blue Blue Black Black Green Green Gray Gray
Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black
Black Black Red Red Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black
Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black
Red Red Gray Gray Orange Orange Black Black Green Green Black Black Red Red Gray Gray Orange Orange Black Black
Red Red Gray Gray Orange Orange Black Black Green Green Black Black Red Red Gray Gray Orange Orange Black Black
Gray Gray Black Black Blue Blue Red Red Black Black Black Black Gray Gray Black Black Blue Blue Red Red
Gray Gray Black Black Blue Blue Red Red Black Black Black Black Gray Gray Black Black Blue Blue Red Red
Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray
Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Gray 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


Here is the input grid for the test example:
Input:
Purple Black Black Black Brown
Black Black Black Black Brown
Black Black Black Black Red
Black Black Green Purple Blue
Black Brown Black Pink Purple


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:

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