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

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


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
Yellow Gray Yellow Yellow Gray Yellow Black Black Black Black Black Black
Blue Gray Gray Gray Gray Blue Black Black Black Black Black Black
Blue Gray Gray Gray Gray Blue Black Black Black Black Black Black
Blue Blue Gray Gray Blue Blue Black Black Black Black Black Black
Pink Pink Brown Brown Pink Pink Black Black Black Black Black Black
Black Purple Purple Purple Purple Black Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
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 Gray Yellow Yellow Gray Yellow Yellow Blue Blue Blue Pink Black
Blue Gray Gray Gray Gray Blue Gray Gray Gray Blue Pink Purple
Blue Gray Gray Gray Gray Blue Yellow Gray Gray Gray Brown Purple
Blue Blue Gray Gray Blue Blue Yellow Gray Gray Gray Brown Purple
Pink Pink Brown Brown Pink Pink Gray Gray Gray Blue Pink Purple
Black Purple Purple Purple Purple Black Yellow Blue Blue Blue Pink Black


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

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


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