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

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


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

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


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

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


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


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