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

Output:
Blue Blue Blue Blue Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue
Blue Blue Blue Blue Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue
Blue Blue Blue Blue Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue
Blue Blue Blue Blue Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Red Red Red Red Gray Red Red Red Red Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue
Red Red Red Red Gray Red Red Red Red Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue
Red Red Red Red Gray Red Red Red Red Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue
Red Red Red Red Gray Red Red Red Red Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Red Red Red Red Gray Blue Blue Blue Blue Gray Blue Blue Gray Blue Gray Blue Blue Blue Blue
Red Red Red Red Gray Blue Blue Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Blue Blue
Red Red Red Red Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue
Red Red Red Red Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue
Blue Blue Blue Blue Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue
Blue Blue Blue Blue Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue
Blue Blue Blue Blue Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue Gray Blue Blue Blue Blue


Example 2
Input:
Black Black Black Yellow Black Gray Black Black Black Black Green Gray Black Black Black Black Black
Yellow Yellow Black Black Yellow Gray Black Black Black Green Green Gray Black Black Gray Black Black
Black Black Black Black Yellow Gray Black Green Black Black Black Gray Black Black Black Black Black
Black Black Yellow Yellow Yellow Gray Black Black Black Green Black Gray Black Black Black Gray Black
Yellow Black Yellow Yellow Black Gray Black Black Black Black Black Gray Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Black Gray Black Black Black Black Black Gray Black Black Black Black Green
Black Black Black Black Black Gray Black Black Black Black Black Gray Green Green Black Black Black
Black Black Black Black Black Gray Black Black Black Black Black Gray Black Green Black Black Black
Black Black Black Black Black Gray Black Black Black Brown Black Gray Green Green Black Green Green
Black Black Black Black Black Gray Black Black Black Black Black Gray Green Green Black Black Green
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Green Black Black Black Gray Red Black Black Black Black Gray Black Black Black Black Black
Black Black Black Green Green Gray Black Red Red Red Red Gray Black Pink Pink Black Black
Black Black Black Black Green Gray Black Black Red Black Black Gray Black Black Pink Black Pink
Black Black Black Black Black Gray Black Black Red Red Black Gray Black Pink Black Black Black
Green Black Black Black Black Gray Black Black Black Black Black Gray Black Pink Black Pink Pink

Output:
Red Red Red Red Red Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue
Red Red Red Red Red Gray Blue Blue Blue Blue Blue Gray Blue Blue Gray Blue Blue
Red Red Red Red Red Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue
Red Red Red Red Red Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Gray Blue
Red Red Red Red Red Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Red Red Red Red Red
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Red Red Red Red Red
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Red Red Red Red Red
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Red Red Red Red Red
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Red Red Red Red Red
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue


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

Output:
Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Gray Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Blue Blue Blue Gray Blue Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Gray Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Gray Gray Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Blue Blue Gray Blue Blue Gray Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Gray Blue Blue Gray Blue Gray Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Gray Blue Gray Blue Blue Gray Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Gray Blue Blue Gray Blue Gray Blue Blue Blue Blue Blue
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Gray Red Red Red Red Red Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Red Red Red Red Red Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Red Red Red Red Red Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Red Red Red Red Red Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Red Red Red Red Red Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue Blue Gray Blue Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue
Blue Gray Gray Blue Blue Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue


Here is the input grid for the test example:
Input:
Black Black Black Gray Black Black Pink
Black Black Black Gray Black Black Black
Black Black Black Gray Black Black Pink
Gray Gray Gray Gray Gray Gray Gray
Black Pink Black Gray Black Black Gray
Black Pink Pink Gray Gray Black Black
Black Black Black Gray Black Black Black


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 Blue Blue Gray Blue Blue Blue
Blue Blue Blue Gray Blue Blue Blue
Blue Blue Blue Gray Blue Blue Blue
Gray Gray Gray Gray Gray Gray Gray
Red Red Red Gray Blue Blue Gray
Red Red Red Gray Gray Blue Blue
Red Red Red Gray Blue Blue Blue
```
assistant