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

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


Example 2
Input:
Black Black Black Blue Blue Blue Black Black Black Black Black
Black Black Black Blue Blue Blue Black Black Black Black Black
Black Black Black Black Black Black Black Orange Yellow Blue Blue
Black Black Black Black Black Black Black Black Yellow Orange Blue
Black Black Black Black Black Black Black Black Pink Black Black
Black Black Black Black Black Black Black Gray Gray Gray Black
Black Black Black Black Black Black Pink Pink Pink Brown Black
Black Black Black Black Black Black Blue Blue Pink Black Black
Black Black Black Black Black Gray Gray Gray Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black
Black Black Black Black Black Black Black Black Black 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:
Blue Blue Blue Blue Blue Blue Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Black Black Black
Black Black Black Black Black Black Black Orange Yellow Blue Blue
Black Black Black Black Black Black Black Black Yellow Orange Blue
Black Black Black Black Black Black Black Black Pink Black Black
Black Black Black Black Black Black Black Gray Gray Gray Black
Black Black Black Black Black Black Pink Pink Pink Brown Black
Black Black Black Black Black Black Blue Blue Pink Black Black
Black Black Black Black Black Gray Gray Gray Black Black Black
Black Black Black Black Black Black Orange Orange Black Black Black
Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black


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

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


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

```
Black Black Black Black Black Black Brown Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Brown Black Orange Brown Brown Black Black Black Black Black
Black Black Black Brown Brown Gray Gray Gray Black Black Black Black Black Black
Black Black Brown Brown Orange Gray Gray Gray Orange Brown Brown Blue Gray Black
Black Black Black Black Brown Gray Gray Gray Brown Brown Gray Red Red Blue
Black Black Black Black Brown Brown Orange Black Brown Black Blue Red Red Gray
Black Black Brown Black Orange Brown Brown Black Black Black Black Gray Blue Black
Black Brown Brown Gray Gray Gray Brown Black Black Black Black Black Black Black
Brown Brown Orange Gray Gray Gray Orange Brown Brown Blue Gray Black Black Black
Black Black Black Gray Gray Gray Brown Brown Gray Red Red Blue Black Black
Black Black Brown Brown Orange Black Brown Black Blue Red Red Gray Black Black
Black Black Black Brown Brown Black Black Black Black Gray Blue Black Black Black
Black Black Black Black Brown Black Black Black Black Black Black Black Black Black
```
assistant