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


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


Here is the input grid for the test example:
Input:
Black Black Black Black Purple 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 Green Red Pink Green Black Black Black Black Black Black Black Black
Orange Orange Pink Black Green Brown Orange Purple Black Black Black Black Black Black Black Black
Red Pink Brown Red Purple Yellow Blue Green Black Black Black Black Black Black Black Black
Purple Orange Blue Orange Red Purple Purple 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 Pink Red Yellow Gray Black Black Black Black Black Black Black Black Black Black
Pink Gray Brown Gray Orange Green Black Black Black Black Black Black Black Black Black Black
Gray Pink Brown Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black
Brown Orange Pink Red Purple Blue Black Black Black Black Black Black Black Black Black Black
Pink Pink Purple Red Yellow Orange Black Black Yellow Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Orange Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown 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


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 Blue Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Blue Blue Blue Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black
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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black 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
```
assistant