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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Red Red Yellow Yellow Yellow Yellow Red Red Red Red Yellow Yellow Yellow Yellow Red Red
Black Black Red Red Yellow Yellow Yellow Yellow Red Red Red Red Yellow Yellow Yellow Yellow Red Red
Black Black Gray Gray Red Red Red Red Gray Gray Gray Gray Red Red Red Red Gray Gray
Black Black Gray Gray Red Red Red Red Gray Gray Gray Gray Red Red Red Red Gray Gray
Black Black Gray Gray Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray
Black Black Gray Gray Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray
Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange

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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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
Red Red Red Red Yellow Yellow Yellow Yellow Red Red Red Red Yellow Yellow Yellow Yellow Red Red
Red Red Red Red Yellow Yellow Yellow Yellow Red Red Red Red Yellow Yellow Yellow Yellow Red Red
Gray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray Red Red Red Red Gray Gray
Gray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray Red Red Red Red Gray Gray
Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray
Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange


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 Orange Orange Purple Purple Blue Blue Purple Purple Orange Orange Orange Orange Purple Purple Blue Blue Purple Purple Orange Orange
Black Black Orange Orange Purple Purple Blue Blue Purple Purple Orange Orange Orange Orange Purple Purple Blue Blue Purple Purple Orange Orange
Black Black Purple Purple Brown Brown Blue Blue Brown Brown Purple Purple Purple Purple Brown Brown Blue Blue Brown Brown Purple Purple
Black Black Purple Purple Brown Brown Blue Blue Brown Brown Purple Purple Purple Purple Brown Brown Blue Blue Brown Brown Purple Purple
Black Black Gray Gray Yellow Yellow Green Green Yellow Yellow Gray Gray Gray Gray Yellow Yellow Green Green Yellow Yellow Gray Gray
Black Black Gray Gray Yellow Yellow Green Green Yellow Yellow Gray Gray Gray Gray Yellow Yellow Green Green Yellow Yellow Gray Gray
Black Black Gray Gray Orange Orange Brown Brown Orange Orange Gray Gray Gray Gray Orange Orange Brown Brown Orange Orange Gray Gray
Black Black Gray Gray Orange Orange Brown Brown Orange Orange Gray Gray Gray Gray Orange Orange Brown Brown Orange Orange Gray Gray
Black Black Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red
Black Black Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red

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
Orange Orange Orange Orange Purple Purple Blue Blue Purple Purple Orange Orange Orange Orange Purple Purple Blue Blue Purple Purple Orange Orange
Orange Orange Orange Orange Purple Purple Blue Blue Purple Purple Orange Orange Orange Orange Purple Purple Blue Blue Purple Purple Orange Orange
Purple Purple Purple Purple Brown Brown Blue Blue Brown Brown Purple Purple Purple Purple Brown Brown Blue Blue Brown Brown Purple Purple
Purple Purple Purple Purple Brown Brown Blue Blue Brown Brown Purple Purple Purple Purple Brown Brown Blue Blue Brown Brown Purple Purple
Gray Gray Gray Gray Yellow Yellow Green Green Yellow Yellow Gray Gray Gray Gray Yellow Yellow Green Green Yellow Yellow Gray Gray
Gray Gray Gray Gray Yellow Yellow Green Green Yellow Yellow Gray Gray Gray Gray Yellow Yellow Green Green Yellow Yellow Gray Gray
Gray Gray Gray Gray Orange Orange Brown Brown Orange Orange Gray Gray Gray Gray Orange Orange Brown Brown Orange Orange Gray Gray
Gray Gray Gray Gray Orange Orange Brown Brown Orange Orange Gray Gray Gray Gray Orange Orange Brown Brown Orange Orange Gray Gray
Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red
Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red


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 Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Blue Blue
Black Black Black Black Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Orange Orange Pink Pink Pink Pink Orange Orange Orange Orange Pink Pink Pink Pink Orange Orange
Black Black Black Black Orange Orange Pink Pink Pink Pink Orange Orange Orange Orange Pink Pink Pink Pink Orange Orange

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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Blue Blue
Blue Blue Pink Pink Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
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 Pink Pink Pink Pink Pink Pink
Orange Orange Pink Pink Orange Orange Pink Pink Pink Pink Orange Orange Orange Orange Pink Pink Pink Pink Orange Orange
Orange Orange Pink Pink Orange Orange Pink Pink Pink Pink Orange Orange Orange Orange Pink Pink Pink Pink Orange Orange


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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Green Green Yellow Yellow Green Green Green Green Yellow Yellow Green Green
Black Black Black Black Black Black Black Black Green Green Yellow Yellow Green Green Green Green Yellow Yellow Green Green
Black Black Black Black Black Black Black Black Green Green Yellow Yellow Green Green Green Green Yellow Yellow Green Green
Black Black Black Black Black Black Black Black Green Green Yellow Yellow Green Green Green Green Yellow Yellow Green Green


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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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
Green Green Yellow Yellow Green Green Green Green Green Green Yellow Yellow Green Green Green Green Yellow Yellow Green Green
Green Green Yellow Yellow Green Green Green Green Green Green Yellow Yellow Green Green Green Green Yellow Yellow Green Green
Green Green Yellow Yellow Green Green Green Green Green Green Yellow Yellow Green Green Green Green Yellow Yellow Green Green
Green Green Yellow Yellow Green Green Green Green Green Green Yellow Yellow Green Green Green Green Yellow Yellow Green Green
```
assistant