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 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 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Purple Purple Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Purple Purple Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown 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 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 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 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

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


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 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 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 Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Blue Blue Blue Blue 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 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 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 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 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 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 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

Output:
Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple
Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple
Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple
Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple
Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple
Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple
Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple
Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple
Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple
Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple
Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple
Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple
Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple
Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple
Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple
Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple


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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Green Green Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Green Green Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink 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 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 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 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 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Black Black Red Red Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Red Red Black Black Black Black Black Black Red Red Black Black
Black Black Green Green Red Red Red Red Black Black Green Green Red Red Red Red
Black Black Green Green Red Red Red Red Black Black Green Green Red Red Red Red
Black Black Black Black Brown Brown Pink Pink Black Black Black Black Brown Brown Pink Pink
Black Black Black Black Brown Brown Pink Pink Black Black Black Black Brown Brown Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Red Red Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Red Red Black Black Black Black Black Black Red Red Black Black
Black Black Green Green Red Red Red Red Black Black Green Green Red Red Red Red
Black Black Green Green Red Red Red Red Black Black Green Green Red Red Red Red
Black Black Black Black Brown Brown Pink Pink Black Black Black Black Brown Brown Pink Pink
Black Black Black Black Brown Brown Pink Pink Black Black Black Black Brown Brown Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink


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 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 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 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 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 Blue Blue Brown Brown Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Blue Blue Brown Brown Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Blue Blue Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Blue Blue Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Blue Blue Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Blue Blue Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Blue Blue Brown Brown Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Blue Blue Brown Brown 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 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 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 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 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 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:

```
Purple Purple Blue Blue Brown Brown Pink Pink Purple Purple Blue Blue Brown Brown Pink Pink
Purple Purple Blue Blue Brown Brown Pink Pink Purple Purple Blue Blue Brown Brown Pink Pink
Purple Purple Blue Blue Gray Gray Black Black Purple Purple Blue Blue Gray Gray Black Black
Purple Purple Blue Blue Gray Gray Black Black Purple Purple Blue Blue Gray Gray Black Black
Purple Purple Blue Blue Gray Gray Black Black Purple Purple Blue Blue Gray Gray Black Black
Purple Purple Blue Blue Gray Gray Black Black Purple Purple Blue Blue Gray Gray Black Black
Purple Purple Blue Blue Brown Brown Pink Pink Purple Purple Blue Blue Brown Brown Pink Pink
Purple Purple Blue Blue Brown Brown Pink Pink Purple Purple Blue Blue Brown Brown Pink Pink
Purple Purple Blue Blue Brown Brown Pink Pink Purple Purple Blue Blue Brown Brown Pink Pink
Purple Purple Blue Blue Brown Brown Pink Pink Purple Purple Blue Blue Brown Brown Pink Pink
Purple Purple Blue Blue Gray Gray Black Black Purple Purple Blue Blue Gray Gray Black Black
Purple Purple Blue Blue Gray Gray Black Black Purple Purple Blue Blue Gray Gray Black Black
Purple Purple Blue Blue Gray Gray Black Black Purple Purple Blue Blue Gray Gray Black Black
Purple Purple Blue Blue Gray Gray Black Black Purple Purple Blue Blue Gray Gray Black Black
Purple Purple Blue Blue Brown Brown Pink Pink Purple Purple Blue Blue Brown Brown Pink Pink
Purple Purple Blue Blue Brown Brown Pink Pink Purple Purple Blue Blue Brown Brown Pink Pink
```
assistant