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 Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Black Black Yellow
Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Black Black Yellow
Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Black Black Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Black Black Yellow
Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Black Black Yellow
Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Black Black Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Black Black Yellow
Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Black Black Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Black Black Yellow
Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Black Black Yellow

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


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

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


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

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


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

```
Purple Purple Yellow Orange Orange Yellow Purple Purple Yellow Yellow Orange Yellow Purple Yellow
Purple Purple Yellow Orange Orange Yellow Purple Purple Yellow Yellow Orange Yellow Purple Yellow
Purple Purple Yellow Orange Orange Yellow Purple Purple Yellow Yellow Orange Yellow Purple Yellow
Purple Purple Yellow Orange Orange Yellow Purple Purple Yellow Yellow Orange Yellow Purple Yellow
Purple Purple Yellow Orange Orange Yellow Purple Purple Yellow Yellow Orange Yellow Purple Yellow
Purple Purple Yellow Orange Orange Yellow Purple Purple Yellow Yellow Orange Yellow Purple Yellow
Purple Purple Yellow Orange Orange Yellow Purple Purple Yellow Yellow Orange Yellow Purple Yellow
Purple Purple Yellow Orange Orange Yellow Purple Purple Yellow Yellow Orange Yellow Purple Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Orange Orange Yellow Purple Purple Yellow Orange Orange Yellow Yellow Purple Yellow Orange Yellow
Orange Orange Yellow Purple Purple Yellow Orange Orange Yellow Yellow Purple Yellow Orange Yellow
Orange Orange Yellow Purple Purple Yellow Orange Orange Yellow Yellow Purple Yellow Orange Yellow
Orange Orange Yellow Purple Purple Yellow Orange Orange Yellow Yellow Purple Yellow Orange Yellow
Orange Orange Yellow Purple Purple Yellow Orange Orange Yellow Yellow Purple Yellow Orange Yellow
```
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