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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black
Black Black Black Black Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Black Black Black Black
Black Black Black Black Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Black Black Black Black
Black Black Black Black Brown Brown Purple Purple Red Red Red Red Red Red Purple Purple Brown Brown Black Black Black Black
Black Black Black Black Brown Brown Purple Purple Red Red Red Red Red Red Purple Purple Brown Brown Black Black Black Black
Black Black Black Black Brown Brown Purple Purple Red Red Gray Gray Red Red Purple Purple Brown Brown Black Black Black Black
Black Black Black Black Brown Brown Purple Purple Red Red Gray Gray Red Red Purple Purple Brown Brown Black Black Black Black
Black Black Black Black Brown Brown Purple Purple Red Red Red Red Red Red Purple Purple Brown Brown Black Black Black Black
Black Black Black Black Brown Brown Purple Purple Red Red Red Red Red Red Purple Purple Brown Brown Black Black Black Black
Black Black Black Black Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Black Black Black Black
Black Black Black Black Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Brown Brown Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Brown Brown


Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Purple Purple Green Green Green Green Green Green Green Green Green Green Purple Purple Black Black Black Black
Black Black Black Black Purple Purple Green Green Green Green Green Green Green Green Green Green Purple Purple Black Black Black Black
Black Black Black Black Purple Purple Green Green Red Red Red Red Red Red Green Green Purple Purple Black Black Black Black
Black Black Black Black Purple Purple Green Green Red Red Red Red Red Red Green Green Purple Purple Black Black Black Black
Black Black Black Black Purple Purple Green Green Red Red Brown Brown Red Red Green Green Purple Purple Black Black Black Black
Black Black Black Black Purple Purple Green Green Red Red Brown Brown Red Red Green Green Purple Purple Black Black Black Black
Black Black Black Black Purple Purple Green Green Red Red Red Red Red Red Green Green Purple Purple Black Black Black Black
Black Black Black Black Purple Purple Green Green Red Red Red Red Red Red Green Green Purple Purple Black Black Black Black
Black Black Black Black Purple Purple Green Green Green Green Green Green Green Green Green Green Purple Purple Black Black Black Black
Black Black Black Black Purple Purple Green Green Green Green Green Green Green Green Green Green Purple Purple Black Black Black Black
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Purple Purple Green Green Green Green Purple Purple Green Green Green Green Purple Purple
Purple Purple Green Green Green Green Purple Purple Green Green Green Green Purple Purple
Purple Purple Green Green Green Green Purple Purple Green Green Green Green Purple Purple
Purple Purple Green Green Green Green Purple Purple Green Green Green Green Purple Purple
Purple Purple Green Green Green Green Purple Purple Green Green Green Green Purple Purple
Purple Purple Green Green Green Green Purple Purple Green Green Green Green Purple Purple
Purple Purple Green Green Green Green Purple Purple Green Green Green Green Purple Purple
Purple Purple Green Green Green Green Purple Purple Green Green Green Green Purple Purple
Purple Purple Green Green Green Green Purple Purple Green Green Green Green Purple Purple
Purple Purple Green Green Green Green Purple Purple Green Green Green Green Purple Purple
Purple Purple Green Green Green Green Purple Purple Green Green Green Green Purple Purple
Purple Purple Green Green Green Green Purple Purple Green Green Green Green Purple Purple
Purple Purple Green Green Green Green Purple Purple Green Green Green Green Purple Purple
Purple Purple Green Green Green Green Purple Purple Green Green Green Green Purple Purple


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green Green Green Blue Blue Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green Green Green Blue Blue Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Blue Blue Green Green Orange Orange Orange Orange Orange Orange Green Green Blue Blue Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Blue Blue Green Green Orange Orange Orange Orange Orange Orange Green Green Blue Blue Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Blue Blue Green Green Orange Orange Yellow Yellow Orange Orange Green Green Blue Blue Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Blue Blue Green Green Orange Orange Yellow Yellow Orange Orange Green Green Blue Blue Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Blue Blue Green Green Orange Orange Orange Orange Orange Orange Green Green Blue Blue Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Blue Blue Green Green Orange Orange Orange Orange Orange Orange Green Green Blue Blue Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green Green Green Blue Blue Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Blue Blue Green Green Green Green Green Green Green Green Green Green Blue Blue Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow
Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow
Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow
Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow
Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow
Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow
Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow
Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow
Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow
Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow
Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow
Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow
Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow
Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow
Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow
Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow
Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow
Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow


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


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 Gray Gray Blue Blue Gray Gray Blue Blue
Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue
Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue
Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue
Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue
Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue
Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue
Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue
Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue
Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue
```
assistant