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

Output:
Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Purple Purple Purple Purple Black
Black Black Black Pink Pink Pink Pink Black Black Black Black Brown Brown Brown Brown Brown Purple Purple Purple Purple Black
Brown Brown Brown Pink Pink Pink Pink Black Black Black Black Brown Brown Brown Brown Brown Purple Purple Purple Purple Black
Brown Brown Brown Pink Pink Pink Pink Orange Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black
Brown Brown Brown Black Black Black Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Black Black Black Black Black
Brown Brown Brown Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Purple Black Black Black
Black Pink Pink Pink Purple Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Purple Black Black Black
Black Pink Pink Pink Purple Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Purple Pink Pink Pink
Black Pink Pink Pink Black Brown Brown Brown Brown Black Black Black Black Purple Purple Purple Purple Purple Pink Pink Pink
Black Pink Pink Pink Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Pink Pink Pink
Black Pink Pink Pink Black Brown Brown Brown Brown Black Black Orange Black Black Black Black Black Black Pink Pink Pink
Black Black Black Black Black Brown Brown Brown Brown Black Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black


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

Output:
Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black
Yellow Yellow Yellow Black Blue Blue Blue Brown Brown Brown Brown Brown Gray Black Black Black Black Black Black
Yellow Yellow Yellow Black Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue
Yellow Yellow Yellow Black Blue Blue Blue Yellow Yellow Yellow Black Black Yellow Yellow Yellow Blue Blue Blue Blue
Yellow Yellow Yellow Black Blue Blue Blue Yellow Yellow Yellow Black Black Yellow Yellow Yellow Blue Blue Blue Blue
Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Pink Black Black Black Black Black
Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Brown Brown Brown Brown Black Black Black Black
Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black
Black Black Black Blue Blue Blue Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black
Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Brown Brown Brown Brown Black Black Black Black
Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Brown Brown Brown Brown Brown
Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Brown Brown Brown Brown Brown
Black Black Black Black Black Black Yellow Yellow Yellow Black Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Blue Blue Blue Blue Black Black Brown Brown Brown Brown Black Black Black Black Orange
Brown Brown Brown Brown Blue Blue Blue Blue Black Black Brown Brown Brown Brown Black Blue Blue Blue Blue
Brown Brown Brown Brown Blue Blue Blue Blue Black Black Brown Brown Brown Brown Black Blue Blue Blue Blue
Brown Brown Brown Brown Black Orange Black Black Black Black Brown Brown Brown Brown Black Blue Blue Blue Blue
Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue


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