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 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 Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red 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 Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Brown Black Black Black Brown Black Black Gray Gray Gray Gray Gray Black Purple Purple Purple Black Black Black
Black Brown Black Black Black Brown Black Gray Black Black Black Black Black Purple Black Black Black Purple Black Black
Black Brown Black Black Black Brown Gray Black Black Black Black Black Black Purple Gray Black Black Purple Black Black
Black Black Brown Brown Brown Black Gray Black Black Black Black Black Black Purple Gray Black Black Purple Black Black
Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Purple Purple Purple Black Black Black
Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black
Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black
Black Black Black Black Black Black Black Gray Black Black Black Black Black Gray Black Black Black Black Black Black
Pink Pink Pink Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black
Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink
Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Pink
Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Orange Pink
Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Orange Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Orange Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

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 Gray Gray Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray
Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
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 Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 Gray Gray Gray Gray Gray Gray Gray 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 2
Input:
Black Black Black Black Black Black Black Purple Black Black Black Purple Black Blue Orange Orange Black Blue Black Black Black
Black Black Black Black Black Black Black Purple Black Black Black Purple Orange Blue Black Black Orange Blue Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Purple Black Orange Black Blue Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Orange Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Orange Orange Orange Black Black Black Black Black
Black Black Red Red Red Black Black Gray Black Black Black Black Black Gray Black Black Black Black Black Black Black
Black Red Black Black Black Red Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Red Black Black Black Red Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Red Black Black Black Red Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Red Red Red Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Blue Blue Blue Black
Black Black Black Black Black Black Black Gray Black Black Black Black Black Gray Black Black Blue Black Black Black Blue
Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Blue Black Black Black Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Blue
Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Blue Blue Blue Black
Black Black Black Black Black Black Black Purple Black Black Black Purple Black Blue Black Black Black Blue Black Black Black

Output:
Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Gray
Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Orange
Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange
Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange
Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Brown Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black
Black Brown Black Black Black Pink Pink Pink Black Black Black Black Yellow Yellow Yellow Black Black
Black Brown Black Black Pink Brown Black Black Pink Black Black Yellow Black Black Black Yellow Black
Black Black Brown Brown Pink Black Black Black Pink Black Black Yellow Black Black Black Yellow Black
Black Black Black Black Pink Black Gray Gray Pink Gray Gray Yellow Black Black Black Yellow Black
Yellow Yellow Yellow Black Black Pink Pink Pink Red Red Red Gray Yellow Yellow Yellow Black Black
Black Black Black Yellow Yellow Yellow Yellow Red Black Black Black Red Gray Black Black Black Yellow
Black Black Black Purple Purple Purple Black Red Black Black Black Red Gray Black Black Black Yellow
Black Black Purple Yellow Brown Brown Purple Red Black Black Black Red Gray Black Black Black Yellow
Yellow Yellow Purple Brown Gray Black Purple Brown Red Red Red Black Gray Black Black Black Black
Black Black Purple Brown Yellow Yellow Purple Brown Black Black Black Black Gray Black Black Black Black
Black Green Green Purple Purple Purple Black Brown Black Black Black Gray Black Black Black Black Black
Green Black Black Black Green Brown Brown Gray Gray Gray Gray Black Black Black Black Black Black
Green Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black
Green Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Green Green Green 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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
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 Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Yellow Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Yellow Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Yellow Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Pink Pink Pink Red Red Red Gray Yellow Yellow Yellow Gray Gray
Gray Gray Gray Yellow Yellow Yellow Yellow Red Gray Gray Gray Red Gray Gray Gray Gray Gray
Gray Gray Gray Purple Purple Purple Gray Red Gray Gray Gray Red Gray Gray Gray Gray Gray
Gray Gray Purple Yellow Brown Brown Purple Red Gray Gray Gray Red Gray Gray Gray Gray Gray
Yellow Yellow Purple Brown Gray Gray Purple Brown Red Red Red Gray Gray Gray Gray Gray Gray
Gray Gray Purple Brown Yellow Yellow Purple Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Green Green Purple Purple Purple Gray Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Green Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


Here is the input grid for the test example:
Input:
Black Black Black Black Red Black Black Black Red Black Purple Black Black Black Purple Black
Black Black Black Black Red Black Black Black Red Black Purple Black Black Black Purple Black
Black Black Black Black Red Black Black Black Red Black Black Purple Purple Purple Black Black
Orange Orange Orange Purple Black Red Red Red Black Black Black Black Black Black Black Black
Purple Black Black Orange Purple Black Black Black Black Black Black Black Black Black Black Orange
Purple Black Black Orange Purple Black Gray Gray Gray Blue Blue Blue Black Black Black Orange
Purple Black Black Orange Purple Gray Black Black Blue Black Black Gray Blue Black Black Orange
Orange Orange Orange Purple Gray Black Black Black Blue Black Black Black Blue Black Black Black
Black Black Black Black Gray Black Black Black Blue Black Black Black Blue Black Black Black
Black Black Black Black Gray Black Black Black Black Blue Blue Blue Gray Black Black Black
Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black
Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black
Black Black Black Black Black Gray Pink Pink Pink Black Black Gray Black Black Black Black
Black Black Black Black Black Pink Gray Gray Gray Pink Gray Black Black Black Black Black
Black Black Black Black Black Pink Black Black Black Pink Black Black Black Black Black Black
Black Black Black Black Black Pink Black Black Black Pink Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black
Black Black Black Black Black Red Red Red Black Black Purple Black Black Black Purple 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Orange Orange Orange Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Purple Black Black Orange Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Purple Black Black Orange Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Purple Black Black Orange Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Orange Orange Orange Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
```
assistant