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

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


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

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


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

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


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


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:

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