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:
Purple Yellow Blue Red Blue Yellow Green Purple Red Purple Purple Gray Pink Gray Yellow Gray Gray
Gray Orange Orange Blue Green Purple Red Purple Green Green Orange Green Yellow Purple Orange Red Gray
Blue Blue Green Orange Green Purple Green Gray Blue Purple Orange Pink Green Gray Purple Green Green
Gray Orange Gray Blue Red Blue Gray Yellow Red Purple Green Blue Gray Purple Green Gray Green
Purple Orange Pink Blue Gray Pink Gray Blue Green Red Green Green Pink Gray Purple Green Gray
Pink Red Blue Green Red Blue Purple Green Green Brown Brown Brown Brown Gray Pink Green Orange
Pink Orange Yellow Orange Purple Purple Red Pink Orange Brown Brown Brown Brown Pink Red Yellow Orange
Yellow Red Red Pink Pink Green Gray Green Green Brown Brown Brown Brown Orange Purple Red Purple
Yellow Green Red Red Purple Yellow Purple Red Green Brown Brown Brown Brown Orange Red Purple Red
Green Purple Orange Green Purple Purple Red Yellow Pink Brown Brown Brown Brown Pink Purple Blue Gray
Green Green Gray Purple Gray Green Yellow Blue Blue Purple Red Gray Orange Yellow Pink Orange Pink
Red Red Yellow Green Orange Purple Gray Purple Pink Yellow Green Purple Red Pink Orange Green Gray
Yellow Red Purple Orange Pink Gray Yellow Red Gray Gray Orange Blue Pink Gray Green Purple Blue

Output:
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 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 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
Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black


Example 2
Input:
Orange Pink Pink Gray Brown Orange Gray Blue Red Brown Red Purple Brown Blue Brown
Purple Pink Yellow Purple Brown Red Red Blue Orange Yellow Red Brown Red Brown Gray
Purple Orange Orange Brown Yellow Blue Blue Purple Yellow Gray Gray Yellow Blue Red Red
Pink Orange Yellow Pink Pink Yellow Gray Purple Gray Blue Pink Pink Blue Yellow Red
Green Green Green Green Green Blue Gray Orange Brown Pink Purple Blue Gray Blue Yellow
Green Green Green Green Green Yellow Brown Blue Red Pink Orange Yellow Red Brown Orange
Green Green Green Green Green Yellow Orange Yellow Orange Brown Pink Yellow Purple Brown Pink
Green Green Green Green Green Red Yellow Pink Brown Yellow Blue Yellow Gray Purple Red
Green Green Green Green Green Pink Orange Purple Purple Pink Pink Pink Gray Purple Yellow
Blue Pink Gray Purple Gray Blue Pink Gray Yellow Blue Red Pink Gray Red Purple
Blue Purple Red Purple Brown Pink Brown Brown Orange Orange Pink Orange Brown Red Yellow
Purple Yellow Gray Gray Yellow Orange Gray Orange Brown Pink Red Brown Brown Red Red

Output:
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 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 Black Black Black Black Black
Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black
Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black
Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black
Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black
Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black


Example 3
Input:
Red Red Yellow Brown Brown Blue Pink Purple Blue Blue Pink Brown Orange Brown Purple Purple
Orange Blue Pink Orange Yellow Purple Brown Green Yellow Yellow Yellow Yellow Brown Pink Yellow Pink
Purple Orange Purple Pink Brown Purple Purple Pink Brown Pink Orange Brown Orange Green Orange Blue
Purple Pink Green Red Orange Orange Red Blue Green Green Green Green Green Pink Purple Green
Green Red Blue Blue Green Blue Red Pink Orange Yellow Blue Pink Purple Red Brown Pink
Blue Brown Brown Pink Yellow Green Pink Red Orange Yellow Purple Blue Red Blue Orange Green
Green Blue Red Gray Gray Gray Yellow Pink Purple Brown Pink Pink Pink Brown Blue Brown
Red Purple Red Gray Gray Gray Yellow Purple Orange Green Purple Pink Blue Pink Brown Purple
Pink Red Yellow Gray Gray Gray Brown Purple Orange Blue Blue Brown Green Orange Pink Blue
Orange Green Green Blue Pink Blue Yellow Green Purple Blue Green Green Orange Pink Red Orange
Purple Brown Orange Yellow Orange Pink Yellow Blue Pink Orange Brown Orange Pink Pink Green Brown
Orange Pink Red Brown Red Green Orange Red Orange Blue Green Red Yellow Pink Blue Red

Output:
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 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 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
Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black


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