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 Blue Black Blue Brown Black Black Purple Black Black Black
Black Black Black Purple Black Black Black Black Brown Brown Blue Purple Purple Purple Purple Purple Black
Black Purple Black Black Blue Brown Black Blue Blue Blue Blue Purple Purple Purple Purple Purple Black
Black Black Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple
Blue Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Black
Purple Black Blue Black Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Purple Black Black Brown Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Black Black Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Black
Black Black Black Brown Brown Brown Brown Blue Brown Brown Purple Purple Purple Purple Purple Black Black
Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Purple Brown Black Black Black
Black Black Black Black Black Black Brown Black Black Black Black Brown Black Black Black Black Black

Output:
Black Black Black Black Black Black Black Black Black Blue Black Black Black Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Purple Purple Purple Purple Purple Black
Black Black Black Black Blue Black Black Blue Blue Blue Blue Purple Purple Purple Purple Purple Black
Black Black Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Black Blue Black Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Black Black Brown Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Black Black Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Black
Black Black Black Brown Brown Brown Brown Blue Brown Brown Purple Purple Purple Purple Purple Black Black
Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Purple Black Black Black Black
Black Black Black Black Black Black Brown Black Black Black Black Brown Black Black Black Black Black


Example 2
Input:
Pink Black Black Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black
Black Black Black Pink Black Black Red Red Red Red Red Gray Black Black Black
Black Pink Pink Pink Pink Red Red Red Red Red Red Red Gray Black Black
Black Pink Pink Red Red Red Red Red Red Red Red Pink Pink Gray Black
Pink Pink Red Red Red Red Red Red Red Red Red Pink Pink Black Black
Black Pink Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Black
Black Red Red Red Red Red Red Red Red Red Pink Pink Pink Pink Black
Black Black Red Red Red Red Red Red Red Pink Pink Pink Pink Black Black
Black Black Red Red Red Red Red Red Red Pink Pink Pink Black Black Black
Black Black Black Red Red Red Red Red Black Pink Black Black Black Black Black
Black Black Black Black Black Red Black Gray Black Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black
Black Black Black Pink Black Black Red Red Red Red Red Black Black Black Black
Black Pink Pink Pink Pink Red Red Red Red Red Red Red Black Black Black
Black Pink Pink Red Red Red Red Red Red Red Red Pink Pink Black Black
Pink Pink Red Red Red Red Red Red Red Red Red Pink Pink Black Black
Black Pink Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Black
Black Red Red Red Red Red Red Red Red Red Pink Pink Pink Pink Black
Black Black Red Red Red Red Red Red Red Pink Pink Pink Pink Black Black
Black Black Red Red Red Red Red Red Red Pink Pink Pink Black Black Black
Black Black Black Red Red Red Red Red Black Pink Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black


Example 3
Input:
Black Black Black Black Purple Black Black Black Pink Black Black Black Black Black Black Black
Black Black Pink Black Black Black Black Purple Pink Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Pink Pink Pink Black Black Brown Black Black Black
Black Black Black Brown Black Black Pink Pink Pink Pink Pink Brown Brown Brown Brown Black
Black Brown Brown Brown Brown Brown Brown Pink Pink Pink Brown Pink Brown Brown Brown Black
Black Brown Brown Pink Brown Brown Brown Brown Pink Brown Pink Pink Pink Brown Brown Brown
Brown Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Brown Black
Purple Pink Pink Pink Pink Pink Brown Brown Brown Brown Pink Pink Pink Brown Brown Brown
Pink Pink Pink Pink Pink Pink Pink Purple Brown Purple Purple Pink Brown Purple Black Black
Black Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Black Black Black
Black Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Black Black Black
Purple Black Pink Pink Black Purple Black Black Black Black Purple Black Pink Black Black Black

Output:
Black Black Black Black Black Black Black Black Pink 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 Pink Pink Pink Black Black Brown Black Black Black
Black Black Black Brown Black Black Pink Pink Pink Pink Pink Brown Brown Brown Brown Black
Black Brown Brown Brown Brown Brown Brown Pink Pink Pink Brown Pink Brown Brown Brown Black
Black Brown Brown Pink Brown Brown Brown Brown Pink Brown Pink Pink Pink Brown Brown Brown
Brown Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Brown Black
Black Pink Pink Pink Pink Pink Brown Brown Brown Brown Pink Pink Pink Brown Brown Brown
Pink Pink Pink Pink Pink Pink Pink Purple Brown Purple Purple Pink Brown Purple Black Black
Black Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Black Black Black
Black Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Black Black Black
Black Black Pink Pink Black Purple Black Black Black Black Purple Black Black Black Black Black


Here is the input grid for the test example:
Input:
Black Black Black Brown Black Black 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 Yellow Black Blue Black Black Black
Black Black Black Yellow Black Brown Yellow Yellow Yellow Blue Yellow Black Black Black
Black Black Black Blue Blue Brown Brown Blue Blue Blue Blue Blue Black Black
Black Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown
Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Black
Black Black Black Black Blue Blue Blue Blue Brown Black Brown Black Black Black
Black Yellow Black Black Black Blue Blue Yellow 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 Black Black Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Black Blue Black Black Black Black
Black Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Black
Black Black Black Black Blue Blue Blue Blue Black Black Brown Black Black Black
Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black
```
assistant