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:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Pink Gray Gray
Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Blue Pink Pink Pink Gray
Gray Gray Gray Gray Gray Gray Orange Orange Orange Gray Pink Pink Pink Pink Pink
Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Gray Pink Pink Pink Gray
Gray Gray Gray Gray Gray Gray Orange Orange Orange Gray Gray Gray Pink Gray Gray
Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray

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 Purple Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray
Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Orange Orange Orange Orange Gray
Gray Gray Gray Gray Gray Gray Orange Orange Orange Gray Orange Orange Orange Orange Orange
Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Gray Orange Orange Orange Gray
Gray Gray Gray Gray Gray Gray Orange Orange Orange Gray Gray Gray Orange Gray Gray
Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray


Example 2
Input:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray
Gray Blue Blue Red Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Red Red Red Gray Gray Gray Gray Gray Red Gray Gray Gray Gray
Gray Gray Gray Red Gray Gray Gray Gray Gray Red Red Red Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray 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:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray
Gray Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Purple Purple Purple Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray
Gray Gray Gray Purple Gray Gray Gray Gray Gray Orange Orange Orange Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray 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:
Gray Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Blue Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Blue Gray Gray Blue Blue Blue Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Gray Gray
Gray Gray Gray Gray Gray Red Gray Gray Gray Orange Orange Orange Orange Orange Gray
Gray Gray Gray Gray Red Red Red Gray Gray Gray Orange Orange Orange Gray Gray
Gray Gray Gray Red Red Red Red Red Gray Gray Gray Orange Gray Gray Gray
Gray Gray Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray 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:
Gray Gray Gray Gray Gray Gray Gray Purple Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Purple Purple Purple Gray Gray Purple Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Purple Gray Gray Purple Purple Purple Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Gray Gray
Gray Gray Gray Gray Gray Orange Gray Gray Gray Orange Orange Orange Orange Orange Gray
Gray Gray Gray Gray Orange Orange Orange Gray Gray Gray Orange Orange Orange Gray Gray
Gray Gray Gray Orange Orange Orange Orange Orange Gray Gray Gray Orange Gray Gray Gray
Gray Gray Gray Gray Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


Here is the input grid for the test example:
Input:
Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


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:

```
Gray Gray Gray Gray Gray Gray Purple Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Purple Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
```
assistant