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:
Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray
Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray
Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray
Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray
Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray
Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray
Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray
Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray
Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray
Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray
Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray
Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray

Output:
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black


Example 2
Input:
Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray
Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray
Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray
Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray
Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray
Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray
Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray
Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray
Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray
Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray
Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray
Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray

Output:
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black
Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black
Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black
Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black
Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black
Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black
Green Green Green Green Green Green Black Black Black Black Black Black
Green Green Green Green Green Green Black Black Black Black Black Black
Green Green Green Green Green Green Black Black Black Black Black Black
Green Green Green Green Green Green Black Black Black Black Black Black
Green Green Green Green Green Green Black Black Black Black Black Black
Green Green Green Green Green Green 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 Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray
Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray
Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray
Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray
Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray
Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray
Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray
Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray
Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray
Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray
Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray
Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray

Output:
Green Green Green Green Green Green Black Black Black Black Black Black
Green Green Green Green Green Green Black Black Black Black Black Black
Green Green Green Green Green Green Black Black Black Black Black Black
Green Green Green Green Green Green Black Black Black Black Black Black
Green Green Green Green Green Green Black Black Black Black Black Black
Green Green Green Green Green Green Black Black Black Black Black Black
Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black
Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black
Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black
Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black
Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black
Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black


Here is the input grid for the test example:
Input:
Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray
Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray
Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray
Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray
Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray
Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray
Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray
Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray
Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray
Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray
Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray
Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
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 Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue 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:

```
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black
Red Red Red Red Red Red Black Black Black Black Black Black
Red Red Red Red Red Red Black Black Black Black Black Black
Red Red Red Red Red Red Black Black Black Black Black Black
Red Red Red Red Red Red Black Black Black Black Black Black
Red Red Red Red Red Red Black Black Black Black Black Black
Red Red Red Red Red Red Black Black Black Black Black Black
```
assistant