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

Output:
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


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 Yellow Black Black Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Black Yellow Yellow Black Black Black Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black 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 Black Black
Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Gray Yellow Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Pink Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Black Black Pink Pink Black Black Black Black Gray Gray Gray Black Black Black Black Black
Black Black Pink Black Pink Pink Black Black Black Black Black Gray Black Black Black Black Black Black Black
Black Black Black Black Pink Black Pink Black Black Black Black Gray Black Black 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 Blue Blue 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 Blue Blue
Black Black Blue Blue 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 Blue Blue
Black Black Blue Blue 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 Blue Blue
Black Black Blue Blue 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 Blue Blue
Black Black Blue Blue 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 Blue Blue
Black Black Blue Blue 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 Blue Blue
Black Black Blue Blue 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 Blue Blue
Black Black Blue Blue 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 Blue Blue
Black Black Blue Blue 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 Blue Blue
Black Black Blue Blue 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 Blue Blue
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 Blue Black Blue 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 Blue 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Black Black Black Gray Black Black Red Black Red Pink Pink Pink Pink Pink Black Black Black Black Black
Black Black Black Black Black Black Black Gray Black Black Red Black Pink Pink Black Pink Black Pink Black Black Black Black Black
Black Black Black Black Black Black Black Gray Black Black Red Black Pink Red Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Brown Black Black Black Black Gray Black Gray Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Black Brown Black Black Gray Black Gray Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Black Brown Black Black Gray Black Gray Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black
Black Black Brown Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Gray Black Black Pink Black Black
Black Black Brown Brown Gray Black Black Gray Black Gray Black Black Black Black Black Black Black Gray Pink Black Black Black Black
Black Black Black Black Gray Black Black Gray Black Gray Black Black Black Black Black Black Black Gray Pink Pink Pink Black Black
Black Black Black Black Gray Black Black Gray Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black
Black Black Black Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


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 Orange Black Orange Orange Black Black Black Black Gray Gray Gray Gray Black Black Black Black
Black Black Black Black Orange Orange Black Black Black Gray Black Black Black Black Black Black Black
Black Orange Orange Black Orange Black Black Black Black Gray Black Black Black Pink Black Black Black
Black Black Black Orange Orange Black Black Black Black Gray Black Black Pink Black Pink Black Black
Black Black Orange Orange Black Orange Black Black Black Black Pink Black Pink Black Pink Black Black
Orange Black Orange Orange Black Orange Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Gray Gray Pink Pink Pink Pink Black Black Black
Yellow Black Yellow Yellow Black Black Black Black Gray Gray Black Black Black Black Black Black Black
Black Black Gray Gray Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black
Black Yellow Gray Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black
Yellow Yellow Gray Black Black Black Black Black Gray Black Black Black Black Black Black Black Black
Black Black Black Yellow Black Black Black Black Gray Black Black Black Black Black Black Black Black
Yellow Black Yellow Yellow Black Black Black Black Gray Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Black Red Black Black 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 Black Black Red Red Black Black Black
Black Black Black Black Black Black Black Black Black Red Red Black Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Black Red 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
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue 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
```
assistant