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


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

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


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


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