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 Black Black 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 Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Blue Blue Blue 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 Blue Blue Blue Blue Black Black Black Purple Black Black Black Black Black Black Black Black
Black Blue Black Black Blue Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Orange 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 Yellow Black Black Black Black Black Black Black Black Black Black Black

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Blue Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Blue Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple
Purple Purple Purple Purple Purple Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


Example 2
Input:
Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black
Black Black Black Orange Blue Blue Blue Blue Blue Black Black Black Black Black Pink
Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black
Black Black Gray Black Blue Blue Black Blue Blue Black Black Black Black Yellow Black
Black Black Black Black Blue Blue Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Yellow 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
Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Orange Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Pink
Purple Purple Purple Purple Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Blue Blue Purple Blue Blue Purple Purple Purple Purple Yellow Purple
Purple Purple Purple Purple Blue Blue Purple Blue Blue Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Yellow Green Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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 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 Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Yellow Orange Black Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Blue Blue Black Blue Black Black Black Black Black Black Black
Orange Black Black Black Blue Blue Blue Black Red Black Black Black Yellow Black
Black Black Black Blue Blue Blue Black Black Pink Black Black Gray Black Black
Black Black Brown Blue Black Blue Blue Black Black Black Orange Black Black Black

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Red Purple Purple Purple Purple Purple Purple Purple
Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Orange Purple Brown
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


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 Red Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black
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 Black Black Black
Pink Black Black Black Green 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 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:

```
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Blue Blue Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
```
assistant