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:
Yellow Yellow Purple Purple Orange Orange Pink Pink Yellow Yellow Pink Pink
Yellow Yellow Purple Purple Orange Orange Pink Pink Yellow Yellow Pink Pink
Brown Brown Purple Purple Gray Gray Yellow Yellow Orange Orange Yellow Yellow
Brown Brown Purple Purple Gray Gray Yellow Yellow Orange Orange Yellow Yellow
Green Green Green Green Yellow Yellow Orange Orange Brown Brown Orange Orange
Green Green Green Green Yellow Yellow Orange Orange Brown Brown Orange Orange
Gray Gray Yellow Yellow Blue Blue Orange Orange Gray Gray Purple Purple
Gray Gray Yellow Yellow Blue Blue Orange Orange Gray Gray Purple Purple
Yellow Yellow Yellow Yellow Purple Purple Gray Gray Orange Orange Gray Gray
Yellow Yellow Yellow Yellow Purple Purple Gray Gray Orange Orange Gray Gray
Green Green Orange Orange Gray Gray Purple Purple Green Green Orange Orange
Green Green Orange Orange Gray Gray Purple Purple Green Green Orange Orange

Output:
Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray
Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray
Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray
Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray
Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black
Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black
Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray
Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray


Example 2
Input:
Green Green Pink Pink Orange Orange Yellow Yellow Blue Blue Red Red
Green Green Pink Pink Orange Orange Yellow Yellow Blue Blue Red Red
Green Green Pink Pink Blue Blue Gray Gray Red Red Orange Orange
Green Green Pink Pink Blue Blue Gray Gray Red Red Orange Orange
Brown Brown Blue Blue Purple Purple Red Red Gray Gray Red Red
Brown Brown Blue Blue Purple Purple Red Red Gray Gray Red Red
Blue Blue Purple Purple Red Red Brown Brown Pink Pink Orange Orange
Blue Blue Purple Purple Red Red Brown Brown Pink Pink Orange Orange
Blue Blue Red Red Brown Brown Pink Pink Green Green Pink Pink
Blue Blue Red Red Brown Brown Pink Pink Green Green Pink Pink
Red Red Yellow Yellow Pink Pink Yellow Yellow Blue Blue Purple Purple
Red Red Yellow Yellow Pink Pink Yellow Yellow Blue Blue Purple Purple

Output:
Black Black Black Black Black Black Black Black Black Black Gray Gray
Black Black Black Black Black Black Black Black Black Black Gray Gray
Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black
Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black
Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black
Black Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray
Black Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray
Gray Gray Black Black Gray Gray Black Black Black Black Black Black
Gray Gray Black Black Gray Gray Black Black Black Black Black Black


Example 3
Input:
Green Green Orange Orange Gray Gray Brown Brown Yellow Yellow Yellow Yellow
Green Green Orange Orange Gray Gray Brown Brown Yellow Yellow Yellow Yellow
Red Red Gray Gray Blue Blue Yellow Yellow Purple Purple Yellow Yellow
Red Red Gray Gray Blue Blue Yellow Yellow Purple Purple Yellow Yellow
Gray Gray Red Red Yellow Yellow Blue Blue Gray Gray Yellow Yellow
Gray Gray Red Red Yellow Yellow Blue Blue Gray Gray Yellow Yellow
Orange Orange Yellow Yellow Red Red Gray Gray Blue Blue Gray Gray
Orange Orange Yellow Yellow Red Red Gray Gray Blue Blue Gray Gray
Yellow Yellow Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink
Yellow Yellow Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink
Purple Purple Gray Gray Red Red Pink Pink Red Red Brown Brown
Purple Purple Gray Gray Red Red Pink Pink Red Red Brown Brown

Output:
Black Black Black Black Gray Gray Black Black Gray Gray Black Black
Black Black Black Black Gray Gray Black Black Gray Gray Black Black
Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black
Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black
Black Black Gray Gray Gray Gray Black Black Gray Gray Black Black
Black Black Gray Gray Gray Gray Black Black Gray Gray Black Black


Here is the input grid for the test example:
Input:
Gray Gray Gray Gray Pink Pink Gray Gray Green Green Pink Pink
Gray Gray Gray Gray Pink Pink Gray Gray Green Green Pink Pink
Brown Brown Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray
Brown Brown Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray
Pink Pink Gray Gray Pink Pink Gray Gray Brown Brown Gray Gray
Pink Pink Gray Gray Pink Pink Gray Gray Brown Brown Gray Gray
Gray Gray Pink Pink Gray Gray Brown Brown Brown Brown Brown Brown
Gray Gray Pink Pink Gray Gray Brown Brown Brown Brown Brown Brown
Blue Blue Gray Gray Pink Pink Pink Pink Gray Gray Blue Blue
Blue Blue Gray Gray Pink Pink Pink Pink Gray Gray Blue Blue
Gray Gray Brown Brown Brown Brown Pink Pink Purple Purple Orange Orange
Gray Gray Brown Brown Brown Brown Pink Pink Purple Purple Orange Orange


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:

```
Gray Gray Gray Gray Black Black Gray Gray Black Black Black Black
Gray Gray Gray Gray Black Black Gray Gray Black Black Black Black
Black Black Gray Gray Gray Gray Black Black Gray Gray Black Black
Black Black Gray Gray Gray Gray Black Black Gray Gray Black Black
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray
Black Black Gray Gray Gray Gray Black Black Black Black Black Black
Black Black Gray Gray Gray Gray Black Black Black Black Black Black
Gray Gray Black Black Black Black Gray Gray Black Black Black Black
Gray Gray Black Black Black Black Gray Gray Black Black Black Black
```
assistant