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:
Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue

Output:
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 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 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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black 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 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 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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink


Example 2
Input:
Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown
Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown
Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown
Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown
Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown
Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown
Black Black Black Black Black Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown
Black Black Black Black Black Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown
Black Black Black Black Black Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown
Black Black Black Black Black Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown

Output:
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 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 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 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 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
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 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 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 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 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
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 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 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 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 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
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 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 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 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 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
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


Example 3
Input:
Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange

Output:
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 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 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 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 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 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 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 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 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 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 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 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 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 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 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


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


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 Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black
```
assistant