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 Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black 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 Purple Purple Black Black Black Black Black Black Black Green Green Green Black Black Black Black
Black Gray Gray Black Black Black Black Black Black Black Black Green Gray Gray Black Black Black
Black Gray Blue Black Black Brown Black Black Black Black Green Blue Green Black Black Black Black
Black Red Red Black Brown Blue Brown Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Brown Black Black Green Black Green Green Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Blue Green Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Black Green Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

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


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


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 Black Black Black Pink Red Red Pink Black Black Black
Black Black Black Blue Blue Black Black Black Black Pink Purple Blue Pink Black Black Black
Black Black Black Blue Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Green Blue Green 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

Output:
Gray
Gray
Blue
Blue
Blue
Pink
Pink


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 Black Black Black Black
Black Black Black Black Black Black Black Purple Blue Pink Blue Black Black Black
Black Black Black Black Black Black Black Purple Blue Pink Pink 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 Blue Black Black Black Black Black Black Black Black Black Black Black
Black Yellow Blue Black Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Pink Gray Black Purple Black Black Black Black Black
Black Black Black Black Black Pink Blue Black Purple Blue Black Black Black Black
Black Black Black Black Black Black Black Black Purple Blue 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 Purple
Black Purple
Black Purple
Black Pink
Black Pink
Black Orange
Yellow Purple
Blue Purple
Blue Purple
```
assistant