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:
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue
Black Black Orange Orange Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue
Black Black Orange Orange Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue
Red Red Purple Purple Orange Orange Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue
Red Red Purple Purple Orange Orange Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Brown Brown Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Brown Brown Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue
Black Black Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black

Output:
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue
Black Black Orange Orange Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue
Black Black Orange Orange Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue
Red Red Purple Purple Orange Orange Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue
Red Red Purple Purple Orange Orange Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Brown Brown Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Brown Brown Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black Black Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black Black Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue
Black Black Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black


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

Output:
Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Black Black Purple Purple Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Black Black Purple Purple Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Orange Orange Black 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 Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black
Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black
Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black Black
Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black Black
Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Red Red Black Black
Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Red Red Black Black
Blue Blue Blue Blue Blue Blue Black Black Purple Purple Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Purple Purple 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 Black Black Black Black Black Black Black Purple Purple Black Black


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Gray Gray Black Black Black Black Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Gray Gray Black Black Black Black Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Green Green Purple Purple Red Red Black Black Red Red Black Black Black Black
Blue Blue Blue Blue Blue Blue Green Green Purple Purple Red Red Black Black Red Red Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black

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


Here is the input grid for the test example:
Input:
Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Green Green Black Black Orange Orange Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Green Green Black Black Orange Orange Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black 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 Black Black Black Orange Orange
Black Black Black Black Black Black Green Green Purple Purple Blue Blue Blue Blue Blue Blue Green Green
Black Black Black Black Black Black Green Green Purple Purple Blue Blue Blue Blue Blue Blue Green Green
Black Black Black Black Black Black Pink Pink Black Black Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Pink Pink Black Black Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Green Green Black Black Orange Orange Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Green Green Black Black Orange Orange Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Green Green
Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Green Green
Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Brown 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 Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Green Green Purple Purple Blue Blue Blue Blue Blue Blue Green Green
Black Black Black Black Black Black Green Green Purple Purple Blue Blue Blue Blue Blue Blue Green Green
Black Black Black Black Black Black Pink Pink Black Black Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Pink Pink Black Black Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black
```
assistant