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:
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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Purple Purple
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Purple Purple
Purple Purple Black Black Black Black Red Red Red Red Black Black Black Black Black Black Red Red Purple Purple
Purple Purple Black Black Black Black Red Red Red Red Black Black Black Black Black Black Red Red Purple Purple
Purple Purple Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Purple Purple
Purple Purple Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Purple Purple
Purple Purple Black Black Black Black Red Red Red Red Black Black Red Red Black Black Black Black Purple Purple
Purple Purple Black Black Black Black Red Red Red Red Black Black Red Red Black Black Black Black Purple Purple
Purple Purple Black Black Black Black Red Red Red Red Black Black Red Red Black Black Black Black Purple Purple
Purple Purple Black Black Black Black Red Red Red Red Black Black Red Red Black Black Black Black Purple Purple
Purple Purple Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Purple Purple
Purple Purple Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black 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

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


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

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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black
Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black
Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple 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


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

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 Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Pink Pink Pink Pink Blue Blue Black Black
Black Black Blue Blue Blue Blue Pink Pink Pink Pink Blue Blue Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Blue Blue Pink Pink Blue Blue Black Black Black Black Black Black
Black Black Blue Blue Pink Pink Blue Blue Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Blue Blue Blue Blue Pink Pink Pink Pink Blue Blue Black Black
Black Black Blue Blue Blue Blue Pink Pink Pink Pink Blue Blue Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black
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


Here is the input grid for the test example:
Input:
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink
Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink
Pink Pink Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Pink Pink
Pink Pink Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Pink Pink
Pink Pink Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Pink Pink
Pink Pink Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Pink Pink
Pink Pink Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Pink Pink
Pink Pink Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Pink Pink
Pink Pink Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Pink Pink
Pink Pink Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Pink Pink
Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink
Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink
Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink
Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink


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 Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black
Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black
Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black
Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black
Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black
Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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
```
assistant