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

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


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

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


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

Output:
Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Red Red Red Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow
Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Red Red Red Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow
Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Red Red Red Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow
Black Black Black Green Green Green Black Black Black Red Red Red Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black
Black Black Black Green Green Green Black Black Black Red Red Red Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black
Black Black Black Green Green Green Black Black Black Red Red Red Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black
Purple Purple Purple Black Black Black Gray Gray Gray Black Black Black Green Green Green Black Black Black Green Green Green Brown Brown Brown Red Red Red
Purple Purple Purple Black Black Black Gray Gray Gray Black Black Black Green Green Green Black Black Black Green Green Green Brown Brown Brown Red Red Red
Purple Purple Purple Black Black Black Gray Gray Gray Black Black Black Green Green Green Black Black Black Green Green Green Brown Brown Brown Red Red Red
Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black
Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black
Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black
Black Black Black Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Purple Purple Purple
Black Black Black Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Purple Purple Purple
Black Black Black Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Purple Purple Purple


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

```
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black
Purple Purple Purple Gray Gray Gray Black Black Black Purple Purple Purple Black Black Black Pink Pink Pink Red Red Red
Purple Purple Purple Gray Gray Gray Black Black Black Purple Purple Purple Black Black Black Pink Pink Pink Red Red Red
Purple Purple Purple Gray Gray Gray Black Black Black Purple Purple Purple Black Black Black Pink Pink Pink Red Red Red
Black Black Black Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black Red Red Red Pink Pink Pink
Black Black Black Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black Red Red Red Pink Pink Pink
Black Black Black Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black Red Red Red Pink Pink Pink
Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Yellow Yellow Yellow
Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Yellow Yellow Yellow
Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Yellow Yellow Yellow
Blue Blue Blue Black Black Black Red Red Red Pink Pink Pink Green Green Green Orange Orange Orange Black Black Black
Blue Blue Blue Black Black Black Red Red Red Pink Pink Pink Green Green Green Orange Orange Orange Black Black Black
Blue Blue Blue Black Black Black Red Red Red Pink Pink Pink Green Green Green Orange Orange Orange Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red
Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue
Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue
Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue
```
assistant