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:
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 Yellow Black Black Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Yellow Yellow Yellow Black Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Yellow Yellow Yellow Black Purple
Purple Purple Purple Black Black Yellow Black Black Purple Purple Purple Black Black Yellow Black Black Purple
Purple Purple Purple Black Yellow Yellow Yellow Black Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Black Black Yellow Black Black Purple Purple
Purple Purple Purple Black Yellow Yellow Yellow Black Purple Purple Black Yellow Yellow Yellow Black Purple Purple
Purple Purple Purple Black Black Yellow Black Black Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Yellow Yellow Yellow Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Yellow Black Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple

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


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

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


Example 3
Input:
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 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 Purple Purple Purple Purple Black Yellow Black Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Yellow 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 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

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


Here is the input grid for the test example:
Input:
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 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 Yellow Black Purple Purple
Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple
Purple Black Black Yellow Black Black Black Yellow Black Purple Purple
Purple Black Yellow Yellow Yellow Black Purple Purple Purple Purple Purple
Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple
Purple Black Yellow Yellow Yellow Black Purple Purple Purple Purple Purple
Purple Black Black Yellow 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


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:

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