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

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


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

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


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

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


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

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