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 Red Black Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black Red Black Black
Black Red Black Black Black Red Black Red Black Black Black Red Black Red Black Black Black Red Black Red Black Black Black Red
Red Black Red Red Red Black Red Black Red Red Red Black Red Black Red Red Red Black Red Black Red Red Red Black
Black Black Black Black Red Red Black Black Black Black Red Red Black Black Black Black Red Red Black Black Black Black Red Red
Red Red Red Black Red Black Red Red Red Black Red Black Red Red Red Black Red Black Red Red Red Black Red Black
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black Red Black Black
Black Red Black Black Black Red Black Red Black Black Black Red Black Red Black Black Black Red Black Red Black Black Black Red
Red Black Red Red Red Black Red Black Red Red Black Black Red Black Red Red Red Black Red Black Red Red Red Black
Black Black Black Black Red Red Black Black Black Black Red Red Black Black Black Black Red Red Black Black Black Black Red Red
Red Red Red Black Red Black Red Red Red Black Red Black Red Red Red Black Red Black Red Red Red Black Red Black
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Black Black Black Red Black Black Black Black Black Black Black Black Red Red Black Red Black Black Red Red Black Red Black Black
Black Red Black Black Black Red Black Red Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Red
Red Black Red Red Red Black Red Black Red Red Red Black Red Red Red Red Red Black Red Red Red Red Red Red
Black Black Black Black Red Red Black Black Black Black Red Red Black Red Black Black Red Red Black Black Black Black Red Red
Red Red Red Black Red Black Red Red Red Black Red Red Red Red Red Red Red Black Black Red Red Black Red Black
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Black Red Black Black Red Red Black Red Black Black Red Red Red Red Black Black Red Red Black Red Black Black
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Black Black Black Black Red Red Black Black Black Black Red Red Black Black Black Red Red Red Black Black Red Red Red Red
Red Red Red Black Red Black Red Red Red Black Red Black Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red

Output:
Red Red Red Red Black Black Red Red Red Red Black Black Red Red Red Red Black Black Red Red Red Red Black Black
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Black Red Red Red Red Red Black Red Red Red Red Red Black Red Red Red Red Red Black Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Black Black Red Red Red Red Black Black Red Red Red Red Black Black Red Red Red Red Black Black
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Black Red Red Red Red Red Black Red Red Red Red Red Black Red Red Red Red Red Black Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Black Black Red Red Red Red Black Black Red Red Red Red Black Black Red Red Red Red Black Black
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Black Red Red Red Red Red Black Red Red Red Red Red Black Red Red Red Red Red Black Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Black Black Red Red Red Red Black Black Red Red Red Red Black Black Red Red Red Red Black Black
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Black Red Red Red Red Red Black Red Red Red Red Red Black Red Red Red Red Red Black Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red


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


Example 3
Input:
Black Green Green Green Green Green Green Black Green Green Green Green Green Green Green
Black Green Black Black Green Black Green Black Black Green Black Green Black Green Green
Black Black Green Green Black Black Black Green Green Black Black Black Green Green Black
Black Black Black Green Green Black Green Green Green Green Black Black Black Black Green
Black Black Green Green Black Green Black Green Green Black Black Black Green Green Black
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Green Black Green Green Black Green Green Green Green Black Green Black Green Green
Green Black Green Green Black Green Green Green Green Green Green Green Green Green Green
Green Black Black Green Green Green Black Green Green Green Green Black Green Green Green
Black Black Green Green Black Black Green Green Green Green Black Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Green Black Green Green Black Green Black Green Green Black Green Black Green Green
Green Green Green Green Green Green Green Green Green Green Black Green Green Green Green
Green Black Green Green Green Green Black Green Green Green Green Black Green Green Green
Black Green Black Green Green Black Green Green Green Green Black Green Green Green Green

Output:
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green


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