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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Orange Orange Gray Gray Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Orange Orange Gray Gray Purple Purple

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


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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black 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 Gray Gray Purple Purple Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Purple Purple Orange Orange

Output:
Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Orange Orange
Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple Purple Purple
Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Orange Orange
Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple Purple Purple
Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Orange Orange
Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Purple Purple Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Purple Purple Orange Orange


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 Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
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 Blue Blue Blue Blue
Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
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 Blue Blue Blue Blue
Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink
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 Blue Blue Blue Blue
Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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 Blue Brown Brown Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Brown Brown Yellow Yellow


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