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 Red Black Black Black Black Black Black Black Black Orange Orange Orange Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Orange Orange Orange Black
Black Black Black Black Black Red Red Red 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 Blue 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 Blue Black Black Black Black Black Brown 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 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 Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black
Black 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 Black Black Black Black Black Black Black

Output:
Black Blue Blue Blue Blue Gray Blue Blue Blue Blue Black Black Gray Blue Blue Blue Gray Gray
Black Blue Blue Blue Blue Gray Blue Blue Blue Blue Black Black Gray Blue Blue Blue Gray Gray
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Gray Gray
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Gray Gray
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Gray Gray
Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Red Red Gray Blue Blue Blue Gray Gray
Black Blue Blue Blue Blue Gray Blue Blue Blue Blue Red Red Black Blue Blue Blue Blue Black
Black Blue Blue Blue Blue Gray Blue Blue Blue Blue Red Red Black Blue Blue Blue Blue Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Black
Black Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Black Blue Blue Blue Blue Black
Black Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Black Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Gray Gray Gray Gray Gray Gray Gray
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Gray Gray Gray Gray Gray Gray Gray
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Black
Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Blue Black
Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Blue Black
Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue Blue 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 Gray 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 Gray Gray Black Black Black Black Black Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Black Black 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 Orange Orange 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 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 Green Green Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Green Green Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Green Green Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black
Black Black Green 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

Output:
Black Black Blue Blue Black Blue Blue Black Blue Blue Blue Gray Gray Gray Gray Gray Blue Blue Black Black
Blue Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Blue Blue Blue Blue
Blue Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Blue Blue Blue Blue
Blue Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Blue Blue Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Blue Blue Gray Gray Gray Gray Blue Blue Blue Gray Blue Blue Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue
Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Black Blue Blue 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 Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Black Black Black Black
Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black
Black Black Black 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

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

```
Black Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray Gray Gray Gray Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue
Black Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray Gray Gray Gray Blue Blue Black
Black Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray Gray Gray Gray Blue Blue Black
Black Black Gray Gray Gray Blue Blue Gray Black Black Black Black Blue Blue Blue Black Blue Blue Black
Black Black Gray Gray Gray Blue Blue Gray Black Black Black Black Blue Blue Blue Black Blue Blue Black
Blue Blue Gray Gray Gray Blue Blue Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray
Blue Blue Gray Gray Gray Blue Blue Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray
Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray
Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray
Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Blue Blue Blue Black Blue Blue Black
Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Blue Blue Blue Black Blue Blue Black
Black Black Black Black Blue Blue Blue Black Red Red Black Black Blue Blue Blue Black Blue Blue Black
```
assistant