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

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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black
Green Black Black Green Black Green Black Black Black Green Green Green Green Green Black
Green Black Green Green Green Green Green Green Black Green Black Black Black Green Black
Green Green Green Green Green Green Green Green Black Green Black Black Black Green Black
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black
Green Green Green Green Green Green Green Green Black Black Green Black Black Black Black
Green Green Black Green Green Green Green Green Green Green Green Green Black Black Black
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black
Black Black Black Green Green Green Green Green Black Green Green Green Black Green Black
Black Black Black Black Green Black Black Green Black Green Green Green Black Green Black
Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black
Black Gray Black Black Pink Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Black Gray Black Black Pink Yellow Black Black Black Yellow Black Black Black Black Black Black
Black Gray Black Black Pink Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black
Black Gray Black Black Pink Yellow Pink Green Yellow Yellow Black Black Green Black Black Black
Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Black Green Black Black Black
Pink Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Green Green Black Black Black
Pink Black Blue Black Pink Yellow Yellow Yellow Yellow Black Yellow Green Green Black Black Black
Pink Pink Blue Pink Pink Blue Yellow Green Green Green Yellow Green Green Black Black Black
Black Black Blue Black Black Blue Yellow Yellow Yellow Yellow Yellow Green Black Black Black Black
Black Black Blue Blue Blue Blue Black Green Green Green Green Green Black Black Black Black

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Black Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Black Blue Black Black Blue Blue Black Black Black Blue Black Black Black Black Black Black
Black Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Black Black Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Black Black Black
Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
Blue Black Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Blue Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black
Black Black Blue Blue Blue Blue Black Blue Blue Blue Blue Blue 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 Red Red Red Red Red Red Black Black Black Black
Black Black Black Black Red Gray Purple Blue Blue Blue Blue Brown Brown Black
Black Black Black Black Red Gray Purple Blue Gray Purple Blue Black Brown Black
Black Blue Blue Blue Blue Blue Blue Blue Gray Purple Blue Gray Gray Black
Black Blue Black Black Red Gray Blue Blue Purple Purple Blue Black Gray Black
Black Blue Black Black Black Gray Blue Blue Purple Purple Blue Brown Gray Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Gray Black
Black Black Blue Blue Blue Blue Blue Purple Brown Gray Purple Gray Gray Black
Black Black Blue Black Black Brown Blue Purple Brown Black Purple Black Black Black
Black Gray Blue Gray Gray Gray Blue Purple Purple Purple Purple Black Black Black
Black Gray Blue Blue Blue Blue Blue Black Black Black Brown Black Black Black
Black Gray Black Black Black Gray Black Black Black Black Brown Black Black Black
Black Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown 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 Gray Gray Gray Gray Gray Gray Black Black Black Black
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Gray Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black
Black Gray Black Black Gray Gray Gray Gray Gray Gray Gray Black Gray Black
Black Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Black
Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black
Black Black Gray Black Black Gray Gray Gray Gray Black Gray Black Black Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black
Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Black Black Black
Black Gray Black Black Black Gray Black Black Black Black Gray Black Black Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black
```
assistant