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
Blue Purple Purple Purple Purple Purple Blue Blue Black Black Black Black Black Black
Blue Purple Purple Purple Purple Purple Blue Blue Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Blue Blue Green Green Black Green Green Black
Blue Blue Blue Blue Blue Blue Blue Blue Green Black Black Black Green Black
Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Black
Black Black Blue Blue Blue Blue Black Black Green Black Black Black Green Black
Black Black Black Black Black Black Black Black Green Green Black Green Green Black
Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Black Purple Purple Purple 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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Blue Black Black Black Black Black Blue Blue Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Blue Blue Green Green Black Green Green Black
Blue Blue Blue Blue Blue Blue Blue Blue Green Black Black Black Green Black
Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Black
Black Black Blue Blue Blue Blue Black Black Green Black Black Black Green Black
Black Black Black Black Black Black Black Black Green Green Black Green Green Black
Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Black Purple Purple Purple 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


Example 2
Input:
Black Black Black Black Red Red Red Black Black Black Black Blue Blue Black Black Black Black Black
Blue Blue Black Yellow Red Black Red Black Black Black Black Blue Blue Black Black Black Black Black
Blue Yellow Yellow Yellow Red Black Red Black Black Black Blue Blue Blue Black Black Black Black Black
Blue Black Black Black Red Black Red Blue Blue Blue Blue Blue Blue Blue Black Black Black Black
Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Yellow Orange Orange Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Yellow Yellow Yellow Orange Orange Black Blue Blue Blue Black Black Black Black Black
Black Black Black Black Black Black Black Orange Orange Black Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Orange Orange 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 Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Black Black Black Black Blue Blue Black Black Black Black Black
Blue Blue Black Yellow Red Black Red Black Black Black Black Blue Blue Black Black Black Black Black
Blue Yellow Yellow Yellow Red Black Red Black Black Black Blue Blue Blue Black Black Black Black Black
Blue Black Black Black Red Black Red Blue Blue Blue Blue Blue Blue Blue Black Black Black Black
Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Yellow Black Black Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue 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 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 Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Brown Brown Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Black Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Red Brown Brown Red Blue Blue Blue Blue Blue Black Black Blue Black Black Black Black Black Black
Black Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Black Brown Brown Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Brown Brown Black
Black Black Black Black Black Black Brown Black Black Yellow Yellow Yellow Yellow Yellow Black Brown Brown Black
Black Black Black Black Black Black Brown Brown Black Black Black Yellow Black Black Black Brown Brown Black
Black Black Black Black Black Black Brown Brown Black Yellow Yellow Yellow Yellow Yellow Black Brown Brown Black
Black Black Black Black Black Black Brown Brown Black Black Black Red Red Red Black Brown Brown Black
Black Black Black Black Black Black Brown Black Black Black Black Black Red Black Black Black Black Black

Output:
Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Brown Brown Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Black Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Red Brown Brown Black Blue Blue Blue Blue Blue Black Black Blue Black Black Black Black Black Black
Black Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Black Brown Brown Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Brown Brown Black
Black Black Black Black Black Black Brown Black Black Yellow Yellow Yellow Yellow Yellow Black Brown Brown Black
Black Black Black Black Black Black Brown Brown Black Black Black Yellow Black Black Black Brown Brown Black
Black Black Black Black Black Black Brown Brown Black Yellow Yellow Yellow Yellow Yellow Black Brown Brown Black
Black Black Black Black Black Black Brown Brown Black Black Black Red Red Red Black Brown Brown Black
Black Black Black Black Black Black Brown Black Black Black Black Black Red 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Yellow Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Yellow Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black
Blue Blue Blue Yellow Black Blue Black Black Black Black Black Black Black Black
Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Orange Orange Orange Orange Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Orange Orange Orange Black Black Black
Blue Blue Black Black Blue Blue Black Black Orange Orange Orange Black Black Green
Blue Black Black Black Black Blue Black Orange Orange Orange Orange Green Green Green
Black Black Black Black Blue Blue Blue Blue Black Green Green Green Black Black
Black Black Black Blue Blue Blue Blue Blue Black Black Green Green Black Black
Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Blue Blue 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Black Black Blue Black Black Black Black Black Black Black Black
Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Orange Orange Orange Orange Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Orange Orange Orange Black Black Black
Blue Blue Black Black Blue Blue Black Black Orange Orange Orange Black Black Green
Blue Black Black Black Black Blue Black Orange Orange Orange Orange Green Green Green
Black Black Black Black Blue Blue Blue Blue Black Green Green Green Black Black
Black Black Black Blue Blue Blue Blue Blue Black Black Green Green Black Black
Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black
```
assistant