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 Gray Black Black Black Black Black Blue Black
Black Black Black Black Red Black Black Black Black Red
Black Black Black Black Black Blue Black Black Black Black
Gray Black Black Gray Black Red Red Blue Black Green
Black Black Black Black Blue Black Black Black Black Black
Black Green Black Red Black Black Black Gray Black Black
Gray Black Blue Black Green 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 Black Red Black Black Black Black Black

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


Example 2
Input:
Black Black Black Purple Black Black Black Blue Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Blue Black Black Brown Black
Black Black Blue Red Black Black Black Black Black Black
Blue Black Black Gray Gray 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 Red Black Black Black Black Black Black Black
Black Black Black Purple Black Black Brown Black Black Black
Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Black Red Black Black Black Blue Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Blue Black Black Red Black
Black Black Blue Red Black Black Black Black Black Black
Blue Black Black Green Green Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Black
Black Black Black Black Black Black Black Black Black Black
Black Black Red Black Black Black Black Black Black Black
Black Black Black Red Black Black Red Black Black Black
Black Black Black Black Black Black Black Black Black Black


Example 3
Input:
Purple Black Black Black Black Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Pink Black
Black Black Black Black Black Green Black Black Black Black
Black Black Black Black Black Black Red Black Brown Red
Black Black Black Black Black Brown Green Black Black Black
Black Black Red Black Red Black Green Black Black Black
Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Green Black Black Black Black Black
Black Black Black Black Black Green Black Black Black Black

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


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