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

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


Example 2
Input:
Blue Blue Blue Black Black Blue Black Black Blue Blue
Blue Blue Blue Black Blue Blue Blue Black Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Black Blue Blue Blue Black Blue Blue
Blue Blue Blue Black Black Blue Black Black Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Black Black Black Blue Black Black Black Blue Blue
Blue Black Blue Blue Blue Blue Blue Black Blue Blue
Blue Black Blue Blue Blue Blue Blue Black Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Black Blue Blue Blue Blue Blue Black Blue Blue
Blue Black Blue Blue Blue Blue Blue Black Blue Blue
Blue Black Black Black Blue Black Black Black Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue

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


Example 3
Input:
Black Black Black Blue Black Black Black Purple Purple Purple Purple Purple Purple
Black Blue Blue Blue Blue Blue Black Purple Black Black Blue Black Black
Black Blue Blue Blue Blue Blue Black Purple Black Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Purple Blue Blue Blue Blue Blue
Black Blue Blue Blue Blue Blue Black Purple Black Blue Blue Blue Black
Black Blue Blue Blue Blue Blue Black Purple Black Black Blue Black Black
Black Black Black Blue Black Black Black Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Black Black Blue Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Black Blue Blue Blue Black Purple Purple Purple Purple
Purple Purple Purple Purple Blue Blue Blue Blue Blue Purple Purple Purple Purple
Purple Purple Purple Purple Black Blue Blue Blue Black Purple Purple Purple Purple
Purple Purple Purple Purple Black Black Blue Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple

Output:
Black Black Black Blue Black Black Black Purple Purple Purple Purple Purple Purple
Black Blue Blue Blue Blue Blue Black Purple Black Black Blue Black Black
Black Blue Blue Blue Blue Blue Black Purple Black Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Black Purple Blue Blue Blue Blue Blue
Black Blue Blue Blue Blue Blue Black Purple Black Blue Blue Blue Black
Black Blue Blue Blue Blue Blue Black Purple Black Black Blue Black Black
Black Black Black Blue Black Black Black Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Black Blue Black Blue Black Purple Purple Purple Purple
Purple Purple Purple Purple Blue Blue Black Blue Blue Purple Purple Purple Purple
Purple Purple Purple Purple Black Blue Black Blue Black Purple Purple Purple Purple
Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple


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


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:

```
Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Black Black Black Blue Black Black Black Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Black Black Blue Blue Blue Blue Black Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Black Black Blue Blue Blue Blue Black Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Blue Black Blue Blue Blue Blue Blue Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Black Black Blue Blue Blue Blue Black Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Black Black Blue Blue Blue Blue Black Gray Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Black Black Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray
Black Blue Blue Blue Black Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray
Black Blue Blue Blue Black Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Blue Black Black Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray
```
assistant