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:
Blue Blue Blue Blue Blue Blue Blue Orange Orange Gray Gray Purple Purple Purple Purple
Blue Blue Blue Blue Blue Blue Blue Orange Orange Gray Gray Purple Purple Purple Purple
Blue Blue Blue Blue Blue Blue Blue Orange Orange Gray Gray Purple Purple Purple Purple
Blue Blue Blue Blue Blue Blue Blue Orange Orange Gray Gray Purple Purple Purple Purple
Blue Blue Blue Blue Blue Blue Blue Orange Orange Gray Gray Purple Purple Purple Purple
Blue Blue Blue Blue Blue Blue Blue Orange Orange Gray Gray Purple Purple Purple Purple
Blue Blue Blue Blue Blue Blue Blue Orange Orange Gray Gray Purple Purple Purple Purple
Blue Blue Blue Blue Blue Blue Blue Orange Orange Gray Gray Purple Purple Purple Purple
Blue Blue Blue Blue Blue Blue Blue Orange Orange Gray Gray Purple Purple Purple Purple
Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Purple Purple Purple Purple
Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Purple Purple Purple Purple
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple

Output:
Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Blue
Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue Black
Black Black Blue Black Black Black Black Black Black Black Black Black Blue Black Black
Black Black Black Blue Black Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Blue Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Blue Black Black Black Blue Black Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black Blue Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black Black Blue Black Black Black
Black Black Blue Black Black Black Black Black Black Black Black Black Blue Black Black
Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue Black
Blue 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 Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


Example 2
Input:
Red Red Red Red Red Red Red Red Red Red Red Gray Gray Purple Purple Yellow Yellow Yellow Yellow
Red Red Red Red Red Red Red Red Red Red Red Gray Gray Purple Purple Yellow Yellow Yellow Yellow
Red Red Red Red Red Red Red Red Red Red Red Gray Gray Purple Purple Yellow Yellow Yellow Yellow
Red Red Red Red Red Red Red Red Red Red Red Gray Gray Purple Purple Yellow Yellow Yellow Yellow
Red Red Red Red Red Red Red Red Red Red Red Gray Gray Purple Purple Yellow Yellow Yellow Yellow
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Yellow Yellow Yellow Yellow
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow

Output:
Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red
Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black
Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Red Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Red Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Red Black Black Black Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Black Black Red Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Red Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Red Black Black Black 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 Red Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black Black


Example 3
Input:
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Brown Brown Purple Purple Purple Purple
Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Purple Purple Purple Purple
Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Purple Purple Purple Purple
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple

Output:
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow
Black Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow Black
Black Black Yellow Black Black Black Black Black Black Black Black Black Yellow Black Black
Black Black Black Yellow Black Black Black Black Black Black Black Yellow Black Black Black
Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black
Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black
Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black
Black Black Black Yellow Black Black Black Black Black Black Black Yellow Black Black Black
Black Black Yellow Black Black Black Black Black Black Black Black Black Yellow Black Black
Black Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow Black
Yellow Black Black Black Black Black Black Black Black Black Black Black 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 Black


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


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:

```
Blue Black Black Black Black Black Black Black Black Black Black Black Blue
Black Blue Black Black Black Black Black Black Black Black Black Blue Black
Black Black Blue Black Black Black Black Black Black Black Blue Black Black
Black Black Black Blue Black Black Black Black Black Blue Black Black Black
Black Black Black Black Blue Black Black Black Blue Black Black Black Black
Black Black Black Black Black Blue Black Blue Black Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Blue Black Black Black Blue Black Black Black Black
Black Black Black Blue Black Black Brown Brown Brown Brown Brown Brown Brown
Black Black Blue Black Black Black Black Black Black Black Blue Black Black
Black Blue Black Black Black Black Black Black Black Black Black Blue Black
Blue Black Black Black Black Black Black Black Black 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 Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black 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