CF185A Plant
Description
Dwarfs have planted a very interesting plant, which is a triangle directed "upwards". This plant has an amusing feature. After one year a triangle plant directed "upwards" divides into four triangle plants: three of them will point "upwards" and one will point "downwards". After another year, each triangle plant divides into four triangle plants: three of them will be directed in the same direction as the parent plant, and one of them will be directed in the opposite direction. Then each year the process repeats. The figure below illustrates this process.
Help the dwarfs find out how many triangle plants that point "upwards" will be in $ n $ years.
Input Format
The first line contains a single integer $ n $ $ (0
Output Format
Print a single integer — the remainder of dividing the number of plants that will point "upwards" in $ n $ years by $ 1000000007 $ $ (10^{9}+7) $ .
Explanation/Hint
The first test sample corresponds to the second triangle on the figure in the statement. The second test sample corresponds to the third one.