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 Red Purple
Black Black Black Gray Pink Gray
Black Black Black Gray Gray Gray
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 Blue Orange Gray Black
Black Black Blue Orange Orange Black
Black Black Orange Blue Blue Black
Black Black Black Black Black Black

Output:
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 Blue
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:
Black Black Black Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Pink Blue Blue Black Black Black Black Black
Black Black Black Black Black Blue Orange Orange Black Gray Blue Green Pink
Black Black Black Black Black Blue Orange Orange Black Yellow Blue Green Pink
Black Black Black Black Black Black Black Black Black Yellow Blue Green Pink
Black Black Black Black Black Black Black Black Black Gray Blue Green Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Gray Gray Yellow Black Black Black Black Black Black Black
Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black
Black Black Gray Yellow Yellow Gray Black Black Black Black Black Black Black
Black Black Yellow Orange Orange Yellow Black Black Black Black Black Blue Blue
Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue
Gray Gray Black Black Black Black Black Black Black Black Black Black Black

Output:
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 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 Black Black Black Black Black Black Black Black Blue Blue
Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue
Gray Gray Black Black Black Black Black Black Black Black Black Black Black


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Brown Blue Black Black Black Black Blue Black Black Black
Black Black Blue Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black

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


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