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


Example 3
Input:
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 Gray Gray Gray Gray Gray
Gray Gray Gray Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray
Gray Gray Gray Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray
Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray
Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray
Black Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black
Black Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black
Black Gray Gray Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black
Black Gray Gray Black Black Black Black Gray Gray Black Gray Gray Gray Gray Gray Black
Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black
Black Gray Gray Black Black Black Black Gray Gray 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 Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Red Red Red Red Blue
Blue Red Red Black Black Blue Blue Blue Black Black Blue Red Red Red Red Blue
Blue Red Red Black Black Black Blue Black Black Black Blue Red Red Red Red Blue
Blue Red Red Black Black Black Blue Black Black Black Blue Red Red Red Red Blue
Blue Black Red Red Red Red Blue Black Black Black Blue Red Red Red Red Blue
Blue Black Red Red Red Red Blue Black Black Black Blue Red Red Red Red Blue
Blue Red Red Black Black Black Blue Black Black Black Blue Red Red Red Red Blue
Blue Red Red Black Black Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue
Blue Red Red Black Black Black Blue Blue Blue Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black


Here is the input grid for the test example:
Input:
Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black
Black Black Gray Gray Gray Gray Gray Black Gray Gray Gray Black Black Black
Black Black Black Black Black Gray Gray Black Gray Gray Gray Black Gray Gray
Black Black Black Black Black Gray Gray Black Gray Gray Gray Black Gray Gray
Black Black Black Black Black Gray Gray Black Gray Gray Gray Black Gray Gray
Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Gray Gray
Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black
Gray Gray Gray Black Black Black Black Black Gray Gray Black Black Black Black
Gray Gray Gray Black Black Black Black Black Gray Gray Black 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 Gray Gray Black 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


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:

```
Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black
Blue Black Red Red Red Red Blue Black Blue Blue Blue Black Black Black
Blue Black Black Black Black Red Blue Black Blue Yellow Blue Black Blue Blue
Blue Black Black Black Black Red Blue Black Blue Yellow Blue Black Blue Blue
Blue Black Black Black Black Red Blue Black Blue Blue Blue Black Blue Blue
Blue Black Red Red Red Red Blue Black Black Black Black Black Blue Blue
Blue Black Red Red Red Red Blue Black Black Black Black Black Black Black
Blue Red Red Black Black Black Blue Black Blue Blue Black Black Black Black
Blue Blue Blue Blue Blue Blue Blue 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 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 Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant