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 Gray Gray Gray Gray Gray
Black Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black Black
Black Purple Black Black Black Black Black Black Purple Black Black Black Black
Black Purple Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Purple Black Black Black Black Black Purple Purple Purple Purple Purple Purple
Black Purple Black Black Black Black Black Black Purple Black Blue Black Black
Black Purple Black Black Brown Black Black Black Purple Black Blue Black Black
Black Purple Black Black Brown Black Black Black Purple Black Blue Black Black
Black Purple Black Black Brown Black Black Black Purple Black Blue Black Black
Black Purple Black Black Brown Black Black Black Purple Black Blue Black Black
Black Purple Black Black Brown Black Black Blue Purple Blue Blue Blue Blue
Black Purple Black Black Brown Black Yellow Yellow Purple Yellow Blue Yellow Yellow
Black Purple Black Black Brown Black Black Black Purple Black Blue Black Black

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray
Black Black Black Black Black Black Black Black Gray Black Black Black Black
Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Black Black Black Black Gray Black Black Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black Black
Black Purple Black Black Black Black Black Black Purple Black Black Black Black
Black Purple Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Purple Black Black Black Black Black Gray Gray Gray Gray Gray Gray
Black Purple Black Black Black Black Black Black Purple Black Gray Black Black
Black Purple Black Black Brown Black Black Black Purple Black Blue Black Black
Black Purple Black Black Brown Black Black Black Purple Black Blue Black Black
Black Purple Black Black Brown Black Black Black Purple Black Blue Black Black
Black Purple Black Black Brown Black Black Black Purple Black Blue Black Black
Black Purple Black Black Brown Black Black Blue Gray Gray Blue Blue Blue
Black Purple Black Black Brown Black Yellow Gray Gray Gray Gray Gray Gray
Black Purple Black Black Brown Black Black Black Purple Black Blue Black Black


Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Pink Black Black Orange Black
Black Black Black Black Black Black Black Pink Black Black Orange Black
Black Black Green Black Black Black Black Pink Black Black Gray Gray
Black Green Green Green Green Green Green Pink Green Green Orange Green
Black Green Green Black Black Black Black Pink Black Orange Orange Black
Black Green Green Black Black Black Black Pink Black Orange Orange Black
Black Green Green Black Gray Black Black Pink Black Orange Orange Black
Black Gray Green Black Gray Black Black Pink Purple Orange Orange Black
Black Gray Green Black Gray Black Pink Pink Pink Pink Pink Pink
Black Gray Green Black Gray Black Black Pink Purple Orange Orange Black
Black Gray Green Black Gray Black Black Pink Purple Orange Orange Black
Black Gray Green Black Gray Black Black Pink Purple Orange Orange Black
Black Gray Green Black Gray Black Black Pink Purple Purple Purple Purple
Black Gray Green Black Gray Black Black Pink Purple Orange Orange Black

Output:
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Pink Black Black Orange Black
Black Black Black Black Black Black Black Pink Black Black Orange Black
Black Black Green Black Black Black Black Pink Black Black Gray Gray
Black Green Green Green Green Green Green Gray Gray Green Gray Gray
Black Green Green Black Black Black Black Pink Black Gray Orange Black
Black Green Green Black Black Black Black Pink Black Orange Orange Black
Black Green Green Black Gray Black Black Pink Black Orange Orange Black
Black Gray Gray Black Gray Black Black Pink Gray Gray Orange Black
Black Gray Gray Black Gray Black Pink Pink Gray Gray Gray Pink
Black Gray Gray Black Gray Black Black Pink Gray Gray Gray Black
Black Gray Gray Black Gray Black Black Pink Gray Gray Orange Black
Black Gray Gray Black Gray Black Black Pink Gray Gray Orange Black
Black Gray Gray Black Gray Black Black Pink Gray Gray Gray Purple
Black Gray Gray Black Gray Black Black Pink Gray Gray Gray 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 Green Black
Black Black Black Black Black Black Black Black Black Black Green Black
Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Pink
Black Black Black Black Gray Gray Gray Gray Green Gray Green Gray
Black Black Black Black Black Black Black Pink Green Black Green Black
Black Black Black Black Yellow Black Black Pink Green Black Green Black
Black Black Black Black Yellow Black Black Pink Green Black Green Black
Black Blue Blue Blue Yellow Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Yellow Black Black Pink Green Black Green Black
Black Black Black Black Yellow Black Black Pink Green Black Yellow Black
Black Black Black Green Yellow Green Green Green Green Green Yellow Green
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Yellow Black Black Pink Green Black Yellow Black
Black Black Gray Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Gray Black Yellow Black Black Pink Green Black Yellow Black

Output:
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Black
Black Black Black Black Black Black Black Black Black Black Green Black
Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Black Black Black Gray Gray Black Green Black
Black Black Black Black Yellow Black Black Pink Gray Black Green Black
Black Black Black Black Yellow Black Black Pink Gray Black Green Black
Black Blue Blue Blue Gray Gray Blue Gray Gray Blue Gray Blue
Black Black Black Black Yellow Black Black Gray Gray Black Gray Black
Black Black Black Black Yellow Black Black Pink Gray Black Gray Black
Black Black Black Green Gray Gray Green Gray Green Green Gray Gray
Black Black Black Black Yellow Gray Gray Gray Gray Gray Yellow Gray
Black Black Black Black Yellow Black Black Gray Gray Black Yellow Black
Black Black Gray Black Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow
Black Black Gray Black Yellow Black Black Gray Gray Black Yellow 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 Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Blue Black Black Black Blue Black Black Black Black
Black Black Black Black Black Blue Black Black Black Blue Black Black Black Black
Black Purple Purple Purple Purple Blue Purple Purple Purple Blue Purple Purple Purple Purple
Black Black Black Black Black Blue Brown Black Black Blue Red Black Black Black
Black Black Black Black Black Blue Brown Gray Brown Blue Brown Brown Brown Brown
Black Black Black Black Black Blue Purple Purple Purple Blue Purple Purple Purple Purple
Black Black Black Black Black Blue Gray Gray Black Blue Red Black Black Black
Black Black Black Black Black Blue Gray Gray Black Blue Red Black Black Black
Black Black Black Black Black Blue Blue Gray Black Blue Red Black Black Black
Black Black Black Black Black Blue Blue Gray Black Blue Red Black Black Black
Black Black Black Black Black Blue Blue Gray Black Blue Gray Gray Gray Gray
Black Black Black Black Black Blue Blue Gray Black Blue Red 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 Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Blue Black Black Black Blue Black Black Black Black
Black Black Black Black Black Blue Black Black Black Blue Black Black Black Black
Black Purple Purple Purple Purple Gray Gray Purple Purple Gray Gray Purple Purple Purple
Black Black Black Black Black Blue Gray Black Black Blue Gray Black Black Black
Black Black Black Black Black Blue Gray Gray Gray Gray Gray Brown Brown Brown
Black Black Black Black Black Blue Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Black Blue Gray Gray Black Blue Gray Black Black Black
Black Black Black Black Black Blue Gray Gray Black Blue Gray Black Black Black
Black Black Black Black Black Blue Gray Gray Black Blue Gray Black Black Black
Black Black Black Black Black Blue Blue Gray Black Blue Gray Black Black Black
Black Black Black Black Black Blue Blue Gray Black Blue Gray Gray Gray Gray
Black Black Black Black Black Blue Blue Gray Black Blue Gray Black Black Black
```
assistant