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
Orange Blue Blue Blue Blue Black Orange Blue Black Blue Blue Black Black
Black Blue Blue Blue Green Black Black Black Blue Blue Green Black Black
Black Black Black Green Black Black Black Black Black Green Black Black Black
Black Blue Blue Blue Green Black Black Blue Blue Blue Green Black Black
Orange Blue Blue Blue Blue Black Orange Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Blue Blue Blue Blue Black Orange Blue Blue Blue Black Black Black
Black Blue Blue Blue Green Black Black Blue Blue Blue Green Black Black
Black Black Black Green Black Black Black Black Black Green Black Black Black
Black Blue Blue Blue Green Black Black Blue Blue Blue Green Black Black
Orange Blue Blue Blue Blue Black Orange Blue Blue Blue 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 Black Black Black Black Black
Orange Blue Blue Blue Blue Black Orange Blue Blue Blue Blue Black Black
Blue Blue Blue Blue Green Black Blue Blue Blue Blue Green Black Black
Blue Blue Black Green Blue Black Blue Blue Black Green Blue Black Black
Blue Blue Blue Blue Green Black Blue Blue Blue Blue Green Black Black
Orange Blue Blue Blue Blue Black Orange Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Blue Blue Blue Blue Black Orange Blue Blue Blue Orange Black Black
Blue Blue Blue Blue Green Black Blue Blue Blue Blue Green Black Black
Blue Blue Black Green Blue Black Blue Blue Black Green Black Black Black
Blue Blue Blue Blue Green Black Blue Blue Blue Blue Green Black Black
Orange Blue Blue Blue Blue Black Orange Blue Blue Blue Blue Black Black


Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Black
Brown Black Brown Purple Black Black Brown Brown Brown Purple Black Black
Black Brown Brown Gray Yellow Black Black Brown Black Gray Yellow Black
Black Brown Gray Gray Red Black Black Brown Gray Gray Red Black
Black Brown Brown Gray Yellow Black Black Brown Brown Gray Yellow Black
Brown Brown Brown Purple Black Black Brown Brown Brown Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Purple Black Black Brown Brown Brown Purple Black Black
Black Brown Brown Gray Yellow Black Black Brown Brown Gray Yellow Black
Black Brown Gray Gray Red Black Black Brown Gray Gray Red Black
Black Brown Brown Gray Yellow Black Black Brown Brown Gray Yellow Black
Brown Brown Brown Purple Black Black Brown Brown Brown Purple Black Black

Output:
Black Black Black Black Black Black Black Black Black Black Black Black
Brown Purple Brown Purple Brown Black Brown Brown Brown Purple Brown Black
Brown Brown Brown Gray Yellow Black Brown Brown Brown Gray Yellow Black
Brown Brown Gray Gray Red Black Brown Brown Gray Gray Red Black
Purple Brown Brown Gray Yellow Black Purple Brown Brown Gray Yellow Black
Brown Brown Brown Purple Brown Black Brown Brown Brown Purple Brown Black
Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Purple Brown Black Brown Brown Brown Purple Brown Black
Brown Brown Brown Gray Yellow Black Brown Brown Brown Gray Yellow Black
Brown Brown Gray Gray Red Black Brown Brown Gray Gray Red Black
Purple Brown Brown Gray Yellow Black Purple Brown Brown Gray Yellow Black
Brown Brown Brown Purple Black Black Brown Brown Brown Purple Black Black


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

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