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 Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Brown Blue Brown Black Black Black Black Green Black Black Black Black Black Black Black Black
Black Black Brown Black Black Black Black Purple Blue Purple Black Black Black Black Blue Black Black
Black Purple Purple Black Black Black Black Purple Purple Purple Black Black Black Black Blue Black Black
Blue Purple Purple Blue Black Black Black Black Black Black Black Green Green Blue Blue Black Black
Pink Purple Purple Pink Black Black Black Black Black Black Black Blue Black Black Black Black Black
Gray Purple Purple 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
Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Blue 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
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 Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Brown Blue Brown Black Green Black Black Green Black Black Black Black Black Black Black Black
Black Black Brown Black Purple Blue Purple Blue Blue Purple Black Black Black Black Blue Black Black
Black Purple Purple Black Purple Purple Purple Blue Purple Purple Black Black Black Black Blue Black Black
Blue Purple Purple Blue Black Black Black Blue Blue Green Green Green Green Blue Blue Black Black
Pink Purple Purple Pink Black Black Black Black Black Black Blue Blue Black Black Black Black Black
Gray Purple Purple 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
Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Blue 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
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
Black Black Black Black Black Purple Blue Blue Purple Black Black Black Black Black Black
Black Black Black Black Black Purple Blue Blue Purple Black Black Black Black Black Black
Black Black Black Black Black Purple Blue Blue Purple Black Brown Black Black Black Black
Black Black Black Black Black Purple Blue Blue Purple Brown Green Brown Black Black Black
Black Black Black Black Black Blue Blue Black Black Black Brown Black Black Black Black
Green Black Black Green Black Blue Blue Black Gray Black Gray Gray Black Black Black
Green Green Green Green Black Black Black Black Gray Blue Blue Black Black Black Black
Purple Pink Pink Purple Black Black Black Black Black Blue Blue Gray Black Black Black
Pink Black Black Pink Black Black Black Black Gray Gray 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

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


Example 3
Input:
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 Purple Purple Purple Black Black Black
Black Black Black Black Black Blue Black Black Black Black Black Purple Purple Purple Black Black
Black Black Black Black Blue Blue 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 Black Black Black Black Black Black Black Black Black
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 Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black

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