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

Output:
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow
Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow
Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow
Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow


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

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


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

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple
Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple
Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple
Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple
Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple
Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple


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


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:

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