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


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 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 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 Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black 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 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 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

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


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


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