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:
Blue Yellow Yellow Black Black Black Black Black Gray Gray Purple Purple Blue Black Brown Brown Black
Black Yellow Yellow Gray Gray Black Black Black Gray Gray Purple Purple Blue Black Brown Brown Black
Black Black Black Gray Gray Yellow Black Black Black Black Purple Purple Gray Black Blue Blue Black
Black Black Gray Gray Yellow Yellow Black Black Purple Purple Yellow Yellow Gray Black Blue Blue Black
Black Black Gray Gray Black Black Black Black Purple Purple Black Blue Blue Purple Black Black Gray
Black Black Black Purple Purple Yellow Yellow Black Black Black Black Gray Purple Purple Black Black Black
Gray Yellow Yellow Purple Purple Yellow Yellow Black Black Black Black Gray Gray Black Black Black Black
Brown Yellow Yellow Brown Black Black Black Purple Purple Yellow Black Brown Brown Blue Black Black Black
Gray Black Brown Brown Black Black Black Purple Purple Yellow Gray Gray Blue Blue Black Black Black
Black Black Black Blue Blue Brown Black Black Purple Purple Gray Gray Black Black Black Black Black
Black Black Black Blue Blue Brown Gray Brown Purple Purple Blue Blue Black Yellow Yellow Black Black
Black Black Black Blue Blue Gray Gray Brown Blue Blue Blue Black Black Yellow Yellow Purple Black
Black Black Black Black Black Gray Gray Blue Blue Blue Blue Black Black Black Black Black Purple

Output:
Yellow Yellow Yellow Black Black Black Black Black Gray Gray Purple Purple Blue Black Brown Brown Black
Black Yellow Yellow Gray Gray Black Black Black Gray Gray Purple Purple Blue Black Brown Brown Black
Black Black Black Gray Gray Yellow Black Black Black Black Purple Purple Gray Black Blue Blue Black
Black Black Gray Gray Yellow Yellow Black Black Purple Yellow Yellow Yellow Gray Black Blue Blue Black
Black Black Gray Gray Black Black Black Black Purple Purple Black Blue Blue Purple Black Black Black
Black Black Black Purple Purple Yellow Yellow Black Black Black Black Purple Purple Purple Black Black Black
Yellow Yellow Purple Purple Purple Yellow Yellow Black Black Black Black Gray Gray Black Black Black Black
Yellow Yellow Yellow Brown Black Black Black Purple Purple Yellow Black Brown Brown Blue Black Black Black
Black Black Brown Brown Black Black Black Purple Purple Yellow Gray Gray Blue Blue Black Black Black
Black Black Black Blue Blue Brown Black Black Purple Purple Gray Gray Black Black Black Black Black
Black Black Black Blue Blue Brown Gray Purple Purple Purple Blue Blue Black Yellow Yellow Black Black
Black Black Black Blue Blue Gray Gray Brown Blue Blue Blue Black Black Yellow Yellow Purple Black
Black Black Black Black Black Gray Gray Blue Blue Blue Blue Black Black Black Black Black Black


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

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


Example 3
Input:
Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Black Black Green Green Gray Black Black Black
Yellow Yellow Blue Blue Black Black Green Green Green Green Green Green Gray Black Black Black
Yellow Yellow Pink Pink Pink Black Yellow Yellow Green Green Yellow Green Green Black Black Black
Yellow Yellow Blue Pink Pink Black Blue Blue Gray Gray Yellow Yellow Green Black Black Black
Black Black Blue Blue Green Black Blue Blue Gray Gray Pink Pink Black Yellow Yellow Black
Black Black Gray Gray Green Yellow Gray Black Black Black Pink Pink Black Yellow Yellow Black
Black Pink Pink Yellow Yellow Yellow Gray Black Black Black Black Yellow Yellow Black Gray Black
Black Pink Pink Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Gray
Gray Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black
Black Black Pink Pink Black Black Black Black Black Gray Gray Black Black Green Green Black
Black Black Pink Pink Black Black Black Black Black Gray Gray Black Black Yellow Yellow Black

Output:
Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Black Black Green Green Gray Black Black Black
Yellow Yellow Blue Blue Black Black Green Green Green Green Green Green Gray Black Black Black
Yellow Yellow Pink Pink Pink Black Yellow Yellow Green Green Yellow Green Green Black Black Black
Yellow Yellow Blue Pink Pink Black Blue Blue Gray Gray Yellow Yellow Green Black Black Black
Black Black Blue Blue Green Black Blue Blue Gray Gray Pink Pink Black Yellow Yellow Black
Black Black Gray Gray Green Gray Gray Black Black Black Pink Pink Black Yellow Yellow Black
Black Pink Pink Yellow Yellow Yellow Gray Black Black Black Black Yellow Yellow Black Gray Black
Black Pink Pink Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black
Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black
Black Black Pink Pink Black Black Black Black Black Gray Gray Black Black Green Green Black
Black Black Pink Pink Black Black Black Black Black Gray Gray Black Black Yellow Yellow Black


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


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 Brown Brown Gray Blue Blue Black Black Black Black
Black Black Black Black Black Brown Brown Gray Blue Blue Black Black Brown Black
Black Black Black Black Black Black Black Black Black Blue Blue Brown Brown Brown
Black Black Black Black Black Black Black Red Blue Blue Blue Brown Brown Brown
Black Black Black Black Black Purple Red Red Red Blue Purple Blue Blue Purple
Purple Black Black Brown Purple Purple Purple Purple Blue Black Brown Brown Purple Red
Purple Purple Brown Brown Brown Black Black Black Black Black Black Purple Purple Blue
Purple Purple Purple Black Black Black Black Black Black Black Purple Purple Red Black
Purple Purple Black Black Black Black Gray Gray Red Purple Purple Purple Red Black
Purple Purple Blue Brown Purple Black Gray Gray Red Red Black Black Black Black
Gray Gray Blue Brown Purple Black Brown Brown Brown Black Black Blue Blue Black
Black Black Black Black Black Black Blue Blue Blue Red Black Blue Blue Black
Blue Blue Black Brown Brown Brown Brown Brown Red Red Black Black Blue Black
Blue Blue Black Brown Brown Red Brown Brown Black Black Black Black Black Black
```
assistant