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 Black Black Black Black Black Black Black
Black Black Black Black Black 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 Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Yellow Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Purple Red Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red 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 Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black
Black Yellow Blue Yellow Black Black Black Black Black Black Black Black Black Blue Gray Blue Black Black Black Black
Black Yellow Yellow Yellow 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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black 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 Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black
Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black
Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black
Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black
Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black


Example 2
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 Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black 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 Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Red Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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 Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Purple Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black 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 Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Orange Green Orange Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Orange 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 Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black 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 Red Red Red Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red 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 Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Purple Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black


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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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 Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Black Brown Red Brown Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Yellow Green Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Orange Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Red Red Red Red Black Black Black Black Black Black Black Black Orange Orange Orange Orange
Yellow Yellow Yellow Yellow Red Red Red Red Black Black Black Black Black Black Black Black Orange Orange Orange Orange
Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange 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 Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black
Black Black Black Black Pink Pink Pink Black Black Yellow Yellow Yellow Green Purple Green Black Black Black Black Black
Black Black Black Black Pink Orange Pink Black Black Yellow Orange Yellow Green Green Green Black Black Black Black Black
Black Black Black Black Pink Pink Pink Black Black 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 Black Black Black Black
Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Gray Red Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red 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 Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Purple Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Green 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black
Black Black Black Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black Black Black
Black Black Black Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black Black Black
Black Black Black Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black Black Black
Black Black Black Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black Black Black
Black Black Black Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Black Black Black Black
Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Black Black Black Black Black Black Black 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
Purple Purple Purple Purple Black Black Black Black Black Black Black 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
```
assistant