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 Pink Black Black Orange Brown Black Black Black Orange 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 Pink Black Purple Yellow Black Black Black Orange Black Purple Black Purple Black
Black Black Black Black Black Black Black Brown Black Black Pink Black Black Black Black Black Pink
Black Black Black Black Black Black Gray Black Black Black Red 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 Black Black Black Black Black
Purple Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Black Black Black Pink Black Black Black Black Black Black
Black Black Black Black Brown Black Black Black Black Black Black Black Green Black Gray Black Black
Purple Black Green 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 Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black

Output:
Black Black Black Pink Black Black Orange Brown Black Brown Orange Black Black Pink 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 Purple Yellow Black Yellow Purple Black Pink Black Black Black Black
Black Black Black Black Black Black Black Brown Black Brown Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Black Black Black Gray Black Black Black Black Black Black
Yellow 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
Purple Black Black Black Black Black Red Black Black Black Green Black Black Black Black Black Purple
Black Black Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black
Black Black Black Black Brown Black Black Black Black Black Black Black Brown Black Black Black Black
Purple Black Green Black Black Black Black Black Black Black Black Black Black Black Green Black Purple
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


Example 2
Input:
Purple Black Black Black Black Black Black Black Black Black Red Purple Black Black Black
Black Black Black Blue Black Black Black Black Black Black Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black
Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Orange Black Black Pink Black Black Black Brown Black Black
Orange 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 Orange 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
Black Black Black Black Black Blue 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 Black Black Black Black Black Black Black

Output:
Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Blue 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 Green Black Black Black Green Black Black Black Black Black
Black Black Black Black Black Orange Black Black Black Orange Black Black Black Black Black
Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Orange Black Black Black Black Black Black Black Black Black Black Black Orange 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 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


Example 3
Input:
Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Purple 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 Green Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Orange Black Black Black Black Black Black Black Black Brown Orange 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 Orange
Black Black Black Black Black Blue Black Black Black Blue Black Black Black Green Black Pink
Black Black Black Red Black Black Black Black Pink 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 Pink Black Black Black Black Black Black Black Black Black Black Black Black
Brown Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black

Output:
Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Purple Black Black Black Black Black Black Black Black Black Black Purple 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 Orange Black Black Black Black Black Black Black Black Orange 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 Blue Black Black Black Black Yellow Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black Green Black Black Black
Black Black Black Black Black Black Gray Black Black Gray Black Black Black Black Black Black
Black Black Black Pink Black Black Black Black Black Black Black Black Pink Black Black Black
Brown Black Black Black Black Black Purple Black Black Purple Black Black Black Black Black Brown


Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Pink 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 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 Yellow Brown 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 Pink Purple Black Black Black Gray 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 Black Black Black Black
Black Black Black Black Black Black Black Orange Black Black Black Black Black Black
Black Pink Black Black Black Gray Yellow 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 Pink Pink 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 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 Pink Purple Black Black Purple Pink 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 Brown Black Black Brown Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Pink Black Black Black Gray Yellow Yellow Gray Black Black Black Pink Black
```
assistant