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

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

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


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

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