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

Output:
Black Brown Blue Black Yellow Black Brown Black Yellow Blue Black Brown Blue Black Yellow Black Brown Black Yellow Blue
Blue Blue Blue Yellow Yellow Black Yellow Blue Black Brown Blue Blue Blue Yellow Yellow Black Yellow Blue Black Brown
Black Black Black Blue Brown Yellow Black Brown Brown Yellow Black Black Black Blue Brown Yellow Black Brown Brown Yellow
Yellow Black Yellow Blue Black Brown Black Brown Black Black Yellow Black Yellow Blue Black Brown Black Brown Black Black
Black Black Black Yellow Black Black Yellow Yellow Blue Black Black Black Black Yellow Black Black Yellow Yellow Blue Black
Yellow Brown Black Yellow Brown Brown Black Black Black Brown Yellow Brown Black Yellow Brown Brown Black Black Black Brown
Yellow Blue Black Black Brown Yellow Black Yellow Blue Blue Yellow Blue Black Black Brown Yellow Black Yellow Blue Blue
Black Black Blue Brown Yellow Black Black Black Yellow Black Black Black Blue Brown Yellow Black Black Black Yellow Black
Blue Yellow Yellow Yellow Black Yellow Brown Blue Black Black Blue Yellow Yellow Yellow Black Yellow Brown Blue Black Black
Blue Blue Yellow Black Blue Brown Black Black Black Yellow Blue Blue Yellow Black Blue Brown Black Black Black Yellow
Black Brown Blue Black Yellow Black Brown Black Yellow Blue Black Brown Blue Black Yellow Black Brown Black Yellow Blue
Blue Blue Blue Yellow Yellow Black Yellow Blue Black Brown Blue Blue Blue Yellow Yellow Black Yellow Blue Black Brown
Black Black Black Blue Brown Yellow Black Brown Brown Yellow Black Black Black Blue Brown Yellow Black Brown Brown Yellow
Yellow Black Yellow Blue Black Brown Black Brown Black Black Yellow Black Yellow Blue Black Brown Black Brown Black Black
Black Black Black Yellow Black Black Yellow Yellow Blue Black Black Black Black Yellow Black Black Yellow Yellow Blue Black
Yellow Brown Black Yellow Brown Brown Black Black Black Brown Yellow Brown Black Yellow Brown Brown Black Black Black Brown
Yellow Blue Black Black Brown Yellow Black Yellow Blue Blue Yellow Blue Black Black Brown Yellow Black Yellow Blue Blue
Black Black Blue Brown Yellow Black Black Black Yellow Black Black Black Blue Brown Yellow Black Black Black Yellow Black
Blue Yellow Yellow Yellow Black Yellow Brown Blue Black Black Blue Yellow Yellow Yellow Black Yellow Brown Blue Black Black
Blue Blue Yellow Black Blue Brown Black Black Black Yellow Blue Blue Yellow Black Blue Brown Black Black Black Yellow


Example 2
Input:
Black Orange Black Brown Orange Orange Brown Black Gray Black Black Black Black Orange Black Black Green Orange Green Black
Black Brown Black Brown Brown Black Black Black Orange Orange Orange Black Black Purple Black Purple Black Green Orange Black
Black Black Gray Brown Orange Black Orange Black Brown Black Black Green Black Orange Black Black Purple Black Orange Black
Orange Black Black Black Brown Gray Black Orange Gray Black Orange Orange Orange Black Black Green Black Orange Orange Purple
Gray Black Gray Black Black Orange Orange Orange Gray Black Green Purple Purple Black Black Black Purple Black Purple Green
Orange Black Black Brown Black Gray Black Gray Black Orange Purple Orange Purple Green Black Black Orange Orange Green Black
Black Orange Black Black Black Black Gray Black Black Black Green Green Green Green Black Purple Orange Black Orange Black
Orange Orange Orange Orange Orange Brown Black Brown Black Gray Black Black Green Orange Black Orange Green Black Green Purple
Black Orange Black Orange Orange Brown Black Black Black Orange Black Green Black Purple Orange Purple Purple Purple Green Green
Orange Orange Gray Gray Orange Gray Black Gray Gray Orange Black Black Black Black Black Black Black Orange Black Green
Black Black Orange Brown Black Black Orange Orange Black Orange Orange Black Red Red Black Black Orange Black Orange Gray
Black Yellow Brown Yellow Orange Brown Black Yellow Black Orange Orange Red Black Gray Gray Gray Black Orange Red Black
Orange Brown Yellow Black Brown Black Brown Black Black Black Orange Gray Black Gray Red Red Orange Orange Black Black
Orange Black Brown Orange Orange Yellow Black Orange Black Black Orange Red Red Gray Black Orange Red Gray Red Black
Black Yellow Black Yellow Black Yellow Brown Black Black Orange Gray Black Black Orange Orange Orange Gray Orange Orange Orange
Yellow Black Black Black Black Orange Orange Brown Yellow Orange Orange Gray Gray Black Black Black Black Orange Black Orange
Black Yellow Black Black Black Black Brown Black Yellow Black Gray Gray Black Black Gray Black Red Orange Black Orange
Brown Black Orange Orange Yellow Brown Black Yellow Yellow Orange Red Gray Black Black Orange Black Orange Gray Gray Gray
Black Black Black Black Orange Black Black Yellow Black Yellow Black Red Black Black Red Orange Black Black Orange Gray
Yellow Black Black Black Brown Black Black Yellow Yellow Yellow Orange Red Black Red Orange Gray Black Black Gray Black

Output:
Black Black Black Orange Black Black Green Orange Green Black Black Black Black Orange Black Black Green Orange Green Black
Orange Black Black Purple Black Purple Black Green Orange Black Orange Black Black Purple Black Purple Black Green Orange Black
Black Green Black Orange Black Black Purple Black Orange Black Black Green Black Orange Black Black Purple Black Orange Black
Orange Orange Orange Black Black Green Black Orange Orange Purple Orange Orange Orange Black Black Green Black Orange Orange Purple
Green Purple Purple Black Black Black Purple Black Purple Green Green Purple Purple Black Black Black Purple Black Purple Green
Purple Orange Purple Green Black Black Orange Orange Green Black Purple Orange Purple Green Black Black Orange Orange Green Black
Green Green Green Green Black Purple Orange Black Orange Black Green Green Green Green Black Purple Orange Black Orange Black
Black Black Green Orange Black Orange Green Black Green Purple Black Black Green Orange Black Orange Green Black Green Purple
Black Green Black Purple Orange Purple Purple Purple Green Green Black Green Black Purple Orange Purple Purple Purple Green Green
Black Black Black Black Black Black Black Orange Black Green Black Black Black Black Black Black Black Orange Black Green
Black Black Black Orange Black Black Green Orange Green Black Black Black Black Orange Black Black Green Orange Green Black
Orange Black Black Purple Black Purple Black Green Orange Black Orange Black Black Purple Black Purple Black Green Orange Black
Black Green Black Orange Black Black Purple Black Orange Black Black Green Black Orange Black Black Purple Black Orange Black
Orange Orange Orange Black Black Green Black Orange Orange Purple Orange Orange Orange Black Black Green Black Orange Orange Purple
Green Purple Purple Black Black Black Purple Black Purple Green Green Purple Purple Black Black Black Purple Black Purple Green
Purple Orange Purple Green Black Black Orange Orange Green Black Purple Orange Purple Green Black Black Orange Orange Green Black
Green Green Green Green Black Purple Orange Black Orange Black Green Green Green Green Black Purple Orange Black Orange Black
Black Black Green Orange Black Orange Green Black Green Purple Black Black Green Orange Black Orange Green Black Green Purple
Black Green Black Purple Orange Purple Purple Purple Green Green Black Green Black Purple Orange Purple Purple Purple Green Green
Black Black Black Black Black Black Black Orange Black Green Black Black Black Black Black Black Black Orange Black Green


Example 3
Input:
Pink Gray Blue Pink Pink Black Gray Black Gray Black Pink Black Gray Black Green Green Black Gray Gray Black
Pink Gray Gray Gray Black Blue Blue Blue Black Black Green Black Pink Black Green Green Black Pink Black Black
Gray Gray Pink Pink Gray Gray Pink Black Pink Pink Green Green Gray Gray Gray Gray Black Gray Green Black
Gray Black Black Pink Pink Gray Black Gray Black Black Green Black Green Black Green Black Black Gray Pink Black
Gray Black Blue Black Gray Pink Pink Black Black Pink Green Black Pink Green Green Green Black Black Pink Green
Gray Pink Black Pink Blue Black Pink Gray Black Gray Green Pink Pink Pink Pink Gray Black Pink Gray Black
Blue Blue Pink Blue Gray Blue Pink Blue Pink Black Green Gray Pink Black Pink Gray Black Green Black Gray
Pink Pink Pink Gray Blue Gray Pink Blue Pink Blue Gray Pink Pink Pink Black Pink Green Gray Black Black
Pink Black Blue Black Black Gray Blue Blue Pink Pink Pink Green Green Black Black Gray Black Gray Black Black
Blue Pink Blue Black Black Blue Blue Black Black Black Black Pink Pink Black Black Pink Black Green Green Pink
Black Orange Pink Black Pink Pink Orange Black Orange Purple Brown Purple Black Black Black Gray Gray Brown Brown Purple
Orange Orange Purple Black Black Orange Black Black Black Black Purple Gray Gray Black Black Gray Black Purple Purple Black
Black Pink Orange Orange Black Orange Purple Black Orange Purple Gray Black Gray Gray Gray Brown Brown Gray Purple Black
Black Black Pink Orange Pink Pink Pink Black Purple Pink Black Black Gray Black Black Purple Gray Black Gray Brown
Orange Black Purple Orange Pink Black Black Purple Pink Orange Black Black Brown Black Black Black Black Black Purple Black
Orange Purple Black Pink Black Purple Black Pink Orange Pink Brown Purple Black Purple Black Black Purple Black Black Black
Pink Black Orange Black Black Black Pink Black Black Purple Brown Brown Black Black Brown Gray Black Brown Purple Black
Purple Pink Black Orange Black Purple Pink Black Purple Black Gray Black Black Gray Brown Brown Black Brown Black Gray
Black Black Black Orange Black Orange Purple Orange Black Orange Gray Black Purple Black Gray Gray Black Black Black Brown
Pink Orange Purple Pink Purple Black Black Orange Purple Orange Brown Brown Gray Purple Black Gray Gray Gray Gray Purple

Output:
Pink Black Gray Black Green Green Black Gray Gray Black Pink Black Gray Black Green Green Black Gray Gray Black
Green Black Pink Black Green Green Black Pink Black Black Green Black Pink Black Green Green Black Pink Black Black
Green Green Gray Gray Gray Gray Black Gray Green Black Green Green Gray Gray Gray Gray Black Gray Green Black
Green Black Green Black Green Black Black Gray Pink Black Green Black Green Black Green Black Black Gray Pink Black
Green Black Pink Green Green Green Black Black Pink Green Green Black Pink Green Green Green Black Black Pink Green
Green Pink Pink Pink Pink Gray Black Pink Gray Black Green Pink Pink Pink Pink Gray Black Pink Gray Black
Green Gray Pink Black Pink Gray Black Green Black Gray Green Gray Pink Black Pink Gray Black Green Black Gray
Gray Pink Pink Pink Black Pink Green Gray Black Black Gray Pink Pink Pink Black Pink Green Gray Black Black
Pink Green Green Black Black Gray Black Gray Black Black Pink Green Green Black Black Gray Black Gray Black Black
Black Pink Pink Black Black Pink Black Green Green Pink Black Pink Pink Black Black Pink Black Green Green Pink
Pink Black Gray Black Green Green Black Gray Gray Black Pink Black Gray Black Green Green Black Gray Gray Black
Green Black Pink Black Green Green Black Pink Black Black Green Black Pink Black Green Green Black Pink Black Black
Green Green Gray Gray Gray Gray Black Gray Green Black Green Green Gray Gray Gray Gray Black Gray Green Black
Green Black Green Black Green Black Black Gray Pink Black Green Black Green Black Green Black Black Gray Pink Black
Green Black Pink Green Green Green Black Black Pink Green Green Black Pink Green Green Green Black Black Pink Green
Green Pink Pink Pink Pink Gray Black Pink Gray Black Green Pink Pink Pink Pink Gray Black Pink Gray Black
Green Gray Pink Black Pink Gray Black Green Black Gray Green Gray Pink Black Pink Gray Black Green Black Gray
Gray Pink Pink Pink Black Pink Green Gray Black Black Gray Pink Pink Pink Black Pink Green Gray Black Black
Pink Green Green Black Black Gray Black Gray Black Black Pink Green Green Black Black Gray Black Gray Black Black
Black Pink Pink Black Black Pink Black Green Green Pink Black Pink Pink Black Black Pink Black Green Green Pink


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


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:

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