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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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 Black Black Black Gray Gray Black Black
Black Black Black Black Black Green Green Green Black Black Black Black Black Brown Green Black Black
Black Black Black Black Black Brown Gray Brown Black Black Black Purple Black Brown Green Black Black
Black Black Black Black Black Blue Gray Blue Black Black Black Purple Black Gray Gray Black Black
Black Black Black Black Black Black Gray Black Black Black Black Purple Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black Black Purple Black Orange Orange Black Black
Black Black Black Blue Blue Blue Black Black Black Black Black Purple Purple Purple Purple Black Black
Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Blue 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 Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Red Red Red Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Red Red Red Black Black Black Red Black Red Red Black Black
Black Black Black Black Black Red Red Red Black Black Black Red Black Red Red Black Black
Black Black Black Black Black Black Red Black Black Black Black Red Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Red Black Red Red Black Black
Black Black Black Red Red Red Black Black Black Black Black Red Red Red Red Black Black
Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Red Black Black Black Green Green Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black


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


Example 3
Input:
Black Black Black Black Black Black Gray Black Orange Black Gray Black Black Black Black Black
Black Black Black Black Black Black Gray Purple Gray Purple Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Blue Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple
Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Blue Blue Pink Black Black Black 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 Pink Blue Blue Pink Black Black Black 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

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