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

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


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 Brown 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 Brown Pink Black Black Brown Black Black Black Black
Black Black Black Black Pink Brown Black Pink Pink Black Brown Black Black Black
Black Black Black Brown Pink Black Pink Black Black Pink Brown Pink Black Black
Black Black Black Black Black Black Pink Pink Black Brown Brown Black Black Black
Black Black Black Black Black Pink Black Brown Brown Brown 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 Brown Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black

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 Pink Black Black Black Brown Black Black Black Black Black Black
Black Black Brown Brown Brown Black Pink Pink Black Black Black Black Black Black
Black Brown Black Pink Brown Brown Pink Black Black Brown Black Black Black Black
Black Black Pink Black Pink Brown Pink Pink Pink Black Brown Black Black Black
Pink Black Pink Brown Pink Brown Pink Brown Black Pink Brown Pink Black Brown
Pink Pink Pink Pink Pink Black Pink Pink Pink Brown Brown Black Black Black
Black Brown Brown Brown Black Pink Black Brown Brown Brown Black Black Black Black
Brown Brown Pink Pink Pink Black Pink Pink Pink Pink Pink Black Black Black
Brown Pink Black Brown Pink Brown Pink Brown Pink Black Pink Brown Black Pink
Brown Black Pink Pink Pink Brown Pink Black Pink Black Black Black Black Black
Black Brown Black Black Pink Brown Brown Pink Black Brown Black Black Black Black
Black Black Black Pink Pink Black Brown Brown Brown Black Black Black Black Black
Black Black Black Brown Black Black Black Pink Black Black Black Black Black Black


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 Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Gray Yellow Purple Purple Gray Black Black Black Black Black
Black Black Black Black Black Black Black Yellow Gray Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

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 Gray Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Purple Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Black Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Gray Yellow Yellow Purple Gray Black Black Black Black Black Black
Black Black Black Gray Purple Purple Yellow Gray Gray Gray Black Purple Black Black Black Black Black Black
Black Black Black Black Purple Black Gray Gray Gray Yellow Purple Purple Gray Black Black Black Black Black
Black Black Black Black Gray Purple Yellow Yellow Gray Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Purple Black Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Purple Purple Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


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 Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Orange Purple Black Orange Orange Brown Black Black Black Black Black Black
Black Black Black Black Black Black Black Orange Brown Black Black Orange Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Black Brown Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:

```
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Brown Orange Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Brown Black Orange Black Brown Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Purple Orange Black Brown Brown Black Black Black Black Black Black Black
Black Black Black Orange Black Black Brown Orange Brown Purple Black Black Black Black Black Black Black Black
Black Black Black Brown Orange Orange Orange Purple Orange Orange Orange Brown Black Black Black Black Black Black
Black Black Black Black Black Purple Brown Orange Brown Black Black Orange Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Orange Purple Brown Brown Black Black Black Black Black Black Black
Black Black Black Black Black Brown Black Orange Black Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Orange Brown Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant