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 Blue Blue Blue Blue
Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Blue Black Black Black Black Purple Black Blue
Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Blue Black Black Black Blue Blue Blue Blue
Black Black Black Black Red Black Black Blue Black Black Black Black Black Black Black
Black Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Blue
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 Blue
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

Output:
Black Black Black Black Black Black Black Black Black Black Purple Blue Blue Blue Blue
Red Blue Blue Blue Blue Blue Blue Blue Black Black Purple Purple Purple Purple Blue
Red Red Red Red Red Red Red Blue Black Black Purple Purple Purple Purple Blue
Red Red Red Red Red Red Red Blue Black Black Purple Purple Purple Purple Blue
Red Red Red Red Red Red Red Blue Black Black Purple Blue Blue Blue Blue
Red Red Red Red Red Red Red Blue Black Black Black Black Black Black Black
Red Blue Blue Blue Blue Blue Blue Blue Orange Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Blue
Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Blue
Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Blue
Black Black Black Black Black Black Black Black Orange Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black 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 Blue 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 Gray Black Black Blue Black Black
Black Black Black Black Black Black Black Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Blue Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Blue Black Black
Black Black Black Black Black Black Gray Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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 Blue Black Blue Blue Blue Blue
Black Black Black Black Black Black Red Black Blue Black Black Green Black Blue
Black Black Black Black Black Black Black Black Blue Black Black Black Black Blue
Black Black Black Black Black Black Black Black Blue Black Black Black Black Blue
Black Black Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue
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 Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Green Blue Blue Blue Blue
Black Red Red Red Red Red Red Red Blue Green Green Green Green Blue
Black Red Red Red Red Red Red Red Blue Green Green Green Green Blue
Black Red Red Red Red Red Red Red Blue Green Green Green Green Blue
Black Red Blue Blue Blue Blue Blue Blue Blue Green Blue Blue Blue Blue
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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black 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 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 Gray Blue 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 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 Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black 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 Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Blue Black Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Blue Black Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Blue Black Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Blue Black Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Blue Black Black Black
Black Black Black Black Black Black Gray Blue 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
```
assistant