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 Purple Purple
Black Black Black Black Black Black Purple Purple
Orange Orange Purple Purple Black Black Black Black
Orange Orange Purple Purple Black Black Black Black
Black Black Brown Brown Green Green Pink Pink
Black Black Brown Brown Green Green Pink Pink
Black Black Black Black Purple Purple Orange Orange
Black Black Black Black Purple Purple Orange Orange
Black Black Green Green Black Black Orange Orange
Black Black Green Green Black Black Orange Orange

Output:
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Purple Purple Orange Orange Orange Orange Purple Purple Black Black Black Black
Black Black Black Black Purple Purple Orange Orange Orange Orange Purple Purple Black Black Black Black
Pink Pink Green Green Brown Brown Black Black Black Black Brown Brown Green Green Pink Pink
Pink Pink Green Green Brown Brown Black Black Black Black Brown Brown Green Green Pink Pink
Orange Orange Purple Purple Black Black Black Black Black Black Black Black Purple Purple Orange Orange
Orange Orange Purple Purple Black Black Black Black Black Black Black Black Purple Purple Orange Orange
Orange Orange Black Black Green Green Black Black Black Black Green Green Black Black Orange Orange
Orange Orange Black Black Green Green Black Black Black Black Green Green Black Black Orange Orange


Example 2
Input:
Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black
Black Black Red Red Black Black Black Black Brown Brown
Black Black Red Red Black Black Black Black Brown Brown
Orange Orange Black Black Blue Blue Black Black Black Black
Orange Orange Black Black Blue Blue Black Black Black Black
Gray Gray Black Black Black Black Blue Blue Black Black
Gray Gray Black Black Black Black Blue Blue Black Black

Output:
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
Brown Brown Black Black Black Black Red Red Black Black Black Black Red Red Black Black Black Black Brown Brown
Brown Brown Black Black Black Black Red Red Black Black Black Black Red Red Black Black Black Black Brown Brown
Black Black Black Black Blue Blue Black Black Orange Orange Orange Orange Black Black Blue Blue Black Black Black Black
Black Black Black Black Blue Blue Black Black Orange Orange Orange Orange Black Black Blue Blue Black Black Black Black
Black Black Blue Blue Black Black Black Black Gray Gray Gray Gray Black Black Black Black Blue Blue Black Black
Black Black Blue Blue Black Black Black Black Gray Gray Gray Gray Black Black Black Black Blue Blue Black Black


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

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


Here is the input grid for the test example:
Input:
Black Black Blue Blue Brown Brown
Black Black Blue Blue Brown Brown
Brown Brown Purple Purple Gray Gray
Brown Brown Purple Purple Gray Gray
Black Black Gray Gray 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:

```
Brown Brown Blue Blue Black Black Black Black Blue Blue Brown Brown
Brown Brown Blue Blue Black Black Black Black Blue Blue Brown Brown
Gray Gray Purple Purple Brown Brown Brown Brown Purple Purple Gray Gray
Gray Gray Purple Purple Brown Brown Brown Brown Purple Purple Gray Gray
Black Black Gray Gray Black Black Black Black Gray Gray Black Black
Black Black Gray Gray Black Black Black Black Gray Gray Black Black
```
assistant