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:
Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green

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


Example 2
Input:
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green

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


Example 3
Input:
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green

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


Here is the input grid for the test example:
Input:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Red Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


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 Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black
```
assistant