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 Pink Black Pink Black Pink Pink Black Black Black Black Black Black Black
Black Black Black Pink Black Black Black Pink Black Black Pink Pink Pink Black
Black Black Black Black Pink Pink Pink Black Pink Pink Black Black Pink Black
Pink Black Black Black Black Black Black Pink Black Black Black Black Black Black
Pink Black Pink Black Pink Pink Pink Pink Pink Black Black Pink Black Black
Black Black Black Black Black Pink Black Black Pink Black Black Black Pink Black
Black Pink Black Black Black Pink Black Black Pink Pink Pink Black Black Pink
Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black
Black Pink Black Pink Black Black Black Black Black Black Black Pink Black Pink
Black Black Black Pink Black Black Black Pink Black Pink Pink Pink Black Black
Black Black Black Pink Black Black Pink Black Pink Black Black Black Black Black
Pink Black Black Black Black Black Black Pink Black Pink Pink Black Black Pink
Pink Black Black Pink Black Black Black Black Black Pink Black Black Black Black
Black Black Black Black Black Pink Black Black Black Black Black Black Black Pink

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


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

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

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


Here is the input grid for the test example:
Input:
Black Gray Gray Gray Gray Black Gray Gray Black Black Black Gray
Gray Black Black Black Gray Black Black Black Black Black Gray Black
Black Gray Black Gray Gray Gray Black Black Gray Black Black Black
Black Black Gray Black Black Black Gray Black Black Gray Black Black
Black Gray Black Black Black Black Black Black Black Black Black Black
Black Gray Black Black Gray Gray Black Black Gray Gray Gray Gray
Black Black Black Black Black Black Black Black Black Gray Black Black
Black Black Gray Black Black Black Black Black Black Gray Black Gray
Black Gray Black Black Black Black Black Black Black Black Black Black
Black Black Gray Black Gray Gray Gray Black Black Black Black Black
Black Gray Black Black Black Black Black Black Black Gray Black Gray
Gray Gray Black Black Gray Black Gray Gray Black Black Gray 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 Blue
Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue
Blue Blue Blue Black Black Black Black Black Black Black Black Black
Blue Black Blue Black Black Black Black Black Black Black Black Black
Blue Blue Blue Black Black Blue Black Black Black Blue Black Black
Blue Blue Blue Black Black Blue Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Blue Black Blue
Blue Black Black Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Blue Blue Blue Black Black Black Black
Black Black Black Black Black Blue Blue Blue Black Black Black Black
Black Black Black Black Black Blue Blue Blue Black Black Black Black
Black Black Black Black Black Blue Blue Black Black Black Black Black
```
assistant