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 Blue Blue Black Black
Black Black Green Green Black Black Black Black Black Black Black Black Green Green Blue Blue Black
Black Blue Blue Blue Blue Black Black Black Black Black Black Black Green Black Green Blue Black
Black Blue Blue Blue Blue Black Black Black Green Green Green Black Black Green Green Black Black
Black Black Green Green Black Black Black Black Green Blue Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Purple Blue Blue Purple Black Gray Gray Black Black Black Black Purple Blue Black Black Black
Black Orange Orange Orange Orange Black Gray Gray Black Black Black Black Brown Blue Blue Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black Black Brown 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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Green Green Black Black Black Black Black Black Black Black Green Gray Gray Blue Black
Black Blue Blue Blue Blue Black Black Black Black Black Black Black Green Gray Gray Blue Black
Black Blue Blue Blue Blue Black Black Black Green Green Green Black Black Green Green Black Black
Black Black Green Green Black Black Black Black Green Blue Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Purple Blue Blue Purple Black Gray Gray Black Black Black Black Purple Blue Black Black Black
Black Orange Orange Orange Orange Black Gray Gray Black Black Black Black Brown Blue Blue Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black Black Brown 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


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


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