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 Gray Gray Black Purple Purple Purple Black Black Black Black Black Gray Black
Black Black Black Black Purple Purple Purple Gray Black Gray Black Black Black Black
Black Black Black Black Purple Red Red Red Red Red Black Black Black Black
Gray Black Black Black Gray Red Red Red Red Red Black Black Black Black
Black Gray Black Black Black Red Red Red Red Red Black Black Black Black
Black Black Black Black Gray Red Red Red Red Red Black Black Black Black
Gray Black Purple Purple Purple Red Red Red Red Red Black Black Black Black
Gray Black Purple Purple Purple Purple Purple Gray Black Black Black Black Black Black
Gray Black Purple Purple Purple Purple Purple Black Black Black Gray Black Black Gray
Black Gray Purple Purple Purple Purple Purple Black Gray Black Black Gray Black Black
Black Black Purple Purple Purple Purple Purple Black Black Gray Black Black Black Black
Black Black Black Black Gray Black Black Black Gray Black Gray Black Black Black
Black Black Gray Black Black Black Black Black Black Black Black Gray Black Gray
Black Black Black Gray Black Black Gray Black Black Black Black Black Black Black

Output:
Black Gray Gray Black Purple Purple Purple Black Black Black Black Black Gray Black
Black Black Black Black Purple Purple Purple Gray Black Gray Black Black Black Black
Black Black Black Black Purple Red Red Red Red Red Black Black Black Black
Gray Black Black Black Gray Red Red Red Red Red Black Black Black Black
Black Gray Black Black Black Red Red Red Red Red Black Black Black Black
Black Black Black Black Gray Red Red Red Red Red Black Black Black Black
Gray Black Purple Purple Purple Red Red Red Red Red Black Black Black Black
Gray Black Purple Purple Purple Purple Purple Gray Black Black Black Black Black Black
Gray Black Purple Purple Purple Purple Purple Black Black Black Gray Black Black Gray
Black Gray Purple Purple Purple Purple Purple Black Gray Black Black Gray Black Black
Black Black Purple Purple Purple Purple Purple Black Black Gray Black Black Black Black
Black Black Black Black Gray Black Black Black Gray Black Gray Black Black Black
Black Black Gray Black Black Black Black Black Black Black Black Gray Black Red
Black Black Black Gray Black Black Gray Black Black Black Black Black Black Red


Example 2
Input:
Black Yellow Black Black Black Black Black Black Yellow Black Black Black Yellow Black Yellow
Black Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Yellow Black
Black Black Brown Brown Brown Brown Black Black Black Yellow Black Black Black Yellow Yellow
Black Black Brown Brown Brown Brown Black Black Black Black Yellow Black Yellow Black Black
Black Black Brown Brown Brown Brown Black Black Black Yellow Black Yellow Black Yellow Black
Black Black Brown Brown Brown Brown Yellow Yellow Black Black Black Yellow Black Yellow Black
Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black
Black Black Black Black Black Black Black Yellow Black Black Black Black Yellow Black Black
Black Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black
Black Yellow Black Black Black Black Purple Brown Brown Brown Brown Brown Black Black Black
Black Black Black Black Black Black Purple Brown Brown Brown Brown Brown Black Yellow Black
Black Black Black Black Black Black Purple Brown Brown Brown Brown Brown Black Yellow Black
Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Yellow Black Black
Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Black Black Yellow
Black Black Yellow Yellow Black Yellow Black Black Black Yellow Yellow Black Black Black Yellow
Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black

Output:
Black Yellow Black Black Black Black Black Black Yellow Black Black Black Yellow Black Red
Black Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black Red
Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Yellow Red
Black Black Brown Brown Brown Brown Black Black Black Yellow Black Black Black Yellow Red
Black Black Brown Brown Brown Brown Black Black Black Black Yellow Black Yellow Black Red
Black Black Brown Brown Brown Brown Black Black Black Yellow Black Yellow Black Yellow Red
Black Black Brown Brown Brown Brown Yellow Yellow Black Black Black Yellow Black Yellow Red
Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Red
Black Black Black Black Black Black Black Yellow Black Black Black Black Yellow Black Red
Black Black Black Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Red
Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Red
Black Yellow Black Black Black Black Purple Brown Brown Brown Brown Brown Black Black Red
Black Black Black Black Black Black Purple Brown Brown Brown Brown Brown Black Yellow Red
Black Black Black Black Black Black Purple Brown Brown Brown Brown Brown Black Yellow Red
Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Yellow Black Red
Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Black Black Blue
Black Black Yellow Yellow Black Yellow Black Black Black Yellow Yellow Black Black Black Blue
Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black 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 Purple Black Black Black Black Black Purple Black Black Purple Purple Black Black Purple Black
Purple Black Black Purple Black Purple Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Purple Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Purple Black
Purple Purple Purple Black Black Purple Black Black Black Black Pink Pink Pink Black Black Purple Purple Purple
Black Black Purple Black Black Black Black Black Black Black Black Purple Black Purple Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Purple Black Black Black Purple Black Black Black Black Black Purple Purple Purple Black Black
Black Black Black Black Black Black Purple Purple Black Purple Black Black Black Purple Black Black Black Black
Black Black Purple Black Black Black Black Black Gray Gray Gray Gray Black Black Purple Black Black Black
Black Black Purple Black Black Black Purple Purple Gray Gray Gray Gray Black Black Black Black Black Black
Black Purple Purple Black Purple Purple Black Black Gray Gray Gray Gray Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Purple Black
Purple Black Black Purple Purple Purple Black Black Purple Black Brown Brown Brown Gray Gray Black Purple Black
Purple Black Black Purple Black Black Purple Black Purple Black Brown Brown Brown Gray Gray Black Black Purple
Black Black Purple Black Black Black Purple Purple Black Black Brown Brown Brown Gray Gray Black Black Black
Purple Purple Black Black Purple Black Black Black Black Black Black Black Black Black Black Purple Black Purple

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Purple Black Black Purple Purple Black Black Purple Black
Purple Black Black Purple Black Purple Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Purple Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Purple Black
Purple Purple Purple Black Black Purple Black Black Black Black Pink Pink Pink Black Black Purple Purple Purple
Black Black Purple Black Black Black Black Black Black Black Black Purple Black Purple Black Black Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Purple Black Black Black Purple Black Black Black Black Black Purple Purple Purple Black Black
Black Black Black Black Black Black Purple Purple Black Purple Black Black Black Purple Black Black Black Black
Black Black Purple Black Black Black Black Black Gray Gray Gray Gray Black Black Purple Black Black Black
Black Black Purple Black Black Black Purple Purple Gray Gray Gray Gray Black Black Black Black Black Black
Black Purple Purple Black Purple Purple Black Black Gray Gray Gray Gray Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Purple Black
Purple Black Black Purple Purple Purple Black Black Purple Black Brown Brown Brown Gray Gray Black Purple Black
Purple Black Black Purple Black Black Purple Black Purple Black Brown Brown Brown Gray Gray Black Black Purple
Black Black Purple Black Black Black Purple Purple Black Black Brown Brown Brown Gray Gray Black Black Black
Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red


Here is the input grid for the test example:
Input:
Black Black Black Black Red Black Black Black Black Black Red
Black Black Black Red Red Red Black Black Black Black Black
Black Black Black Black Black Red Red Black Red Red Black
Black Red Black Red Black Black Red Red Black Black Red
Black Black Black Black Black Black Black Black Black Black Red
Black Red Red Blue Blue Blue Blue Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Black Black Black
Black Red Black Blue Blue Blue Blue Blue Black Red Black
Red Black Black Blue Blue Blue Blue Blue Black Black Black
Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black
Red Red Black Red Red Red Red Red Black Black Black
Red Red Black Red Black Black Black Black Black Black Red
Black Black Black Black Black Red Black Red Black Black Black
Black Black Black Black Red Black Black Black Black Red Black
Black Black Black Red Black Black Red 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 Red Black Black Black Black Black Red
Black Black Black Red Red Red Black Black Black Black Black
Black Black Black Black Black Red Red Black Red Red Black
Black Red Black Red Black Black Red Red Black Black Red
Black Black Black Black Black Black Black Black Black Black Red
Black Red Red Blue Blue Blue Blue Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Black Black Black
Black Red Black Blue Blue Blue Blue Blue Black Red Black
Red Black Black Blue Blue Blue Blue Blue Black Black Black
Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black
Red Red Black Red Red Red Red Red Black Black Black
Red Red Black Red Black Black Black Black Black Black Red
Black Black Black Black Black Red Black Red Black Black Red
Black Black Black Black Red Black Black Black Black Red Red
Black Black Black Red Black Black Red Black Black Red Red
```
assistant