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

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


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

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


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

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


Here is the input grid for the test example:
Input:
Black Black Gray Black Black Brown Gray Black Black Black
Red Black Black Gray Purple Black Black Black Black Black
Black Purple Red Black Black Black Gray Purple Brown Black
Black Black Black Black Purple Black Black Black Blue Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Purple Black Black Black
Black Black Black Purple Purple Black Purple Purple Brown Black
Black Black Black Purple Purple Black Black Black Red Black
Brown Black Black Black Black Gray Purple Black Black Black
Black Black Black Purple Black Red Blue Black Blue 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 Gray Black Black Brown Gray Black Black Black
Red Black Black Gray Purple Black Black Black Black Black
Black Purple Red Black Black Black Gray Purple Brown Black
Black Black Black Black Purple Black Black Black Blue Black
Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Purple Black Black Black
Black Black Black Purple Black Black Purple Purple Brown Black
Black Black Black Black Black Black Black Black Red Black
Brown Black Black Black Black Gray Purple Black Black Black
Black Black Black Purple Black Red Blue Black Blue Black
```
assistant