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

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


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

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


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

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


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

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