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

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 Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black


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

Output:
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


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