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


Example 2
Input:
Brown Black Black Black Blue Black Red Black Black Black Black Blue Black Black Black
Black Black Black Orange Black Brown Black Black Purple Black Black Black Blue Black Purple
Purple Yellow Green Black Black Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Purple Green Gray Black Pink Black Black Green Black Black
Brown Black Black Black Black Black Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Black Black Black Green Gray Black Purple Black
Black Pink Black Black Orange Black Black Black Black Blue Black Black Black Black Black
Black Gray Black Black Gray Black Purple Green Red Black Purple Black Red Orange Brown
Black Black Black Black Red Black Black Black Orange Black Red Red Black Black Brown
Red Black Black Green Gray Black Black Orange Black Black Black Black Black Black Black
Black Blue Black Blue Black Black Black Black Black Black Green Black Black Brown Black
Green Black Black Black Black Black Black Red Black Black Black Brown Black Black Black

Output:
Blue Black Black Black Blue Black Blue Black Black Black Black Blue Black Black Black
Black Black Black Blue Black Blue Black Black Blue Black Black Black Blue Black Blue
Blue Blue Blue Black Black Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Blue Blue Blue Black Blue Black Black Blue Black Black
Blue Black Black Black Black Black Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black Green Green Black Blue Black
Black Green Black Black Green Black Black Black Black Blue Black Black Black Black Black
Black Green Black Black Green Black Green Green Green Black Blue Black Green Green Green
Black Black Black Black Green Black Black Black Green Black Blue Blue Black Black Green
Blue Black Black Green Green Black Black Blue Black Black Black Black Black Black Black
Black Blue Black Green Black Black Black Black Black Black Blue Black Black Blue Black
Blue Black Black Black Black Black Black Blue Black Black Black Blue Black Black Black


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

Output:
Black Black Black Black Blue Black Blue Black Black Black Black Green Green Green Black Blue
Black Black Black Blue Black Black Black Black Black Black Black Black Black Green Black Black
Green Black Black Black Blue Black Blue Black Black Black Black Black Green Green Black Black
Green Black Black Black Black Black Black Black Green Green Black Black Black Black Black Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green
Black Black Black Black Black Black Black Green Black Black Green Black Black Black Black Black
Black Black Black Black Blue Black Black Green Black Black Green Black Black Black Blue Black
Black Black Black Green Black Blue Black Black Black Blue Black Black Blue Black Black Black
Black Black Black Green Black Black Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Blue Black Black Blue Black Black Blue Black Blue Black
Black Black Black Black Black Black Black Blue Black Black Black Black Black Blue Black Black
Black Black Black Black Green Green Black Black Black Blue Black Black Black Black Black Black


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