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


Example 2
Input:
Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black
Black Black Black Black Black Black Black Yellow Black Black Red Yellow Black Black Black
Black Black Black Black Black Black Black Yellow Red Red Red Yellow Black Black Black
Black Black Yellow Yellow Yellow Yellow Black Yellow Red Red Red Yellow Black Black Black
Black Black Yellow Green Green Yellow Black Yellow Black Black Red Yellow Black Black Black
Black Black Yellow Green Green Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black
Black Black Yellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Yellow Green Green Yellow Yellow Gray Gray Gray Yellow Yellow Orange Orange Yellow
Black Black Yellow Yellow Yellow Yellow Yellow Gray Gray Black Yellow Yellow Orange Orange Yellow
Black Black Black Black Black Black Yellow Gray Gray Black Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Yellow Gray Gray Gray Yellow Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black

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

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