Roaming Romans

/problems/romans/file/statement/en/img-0001.png
The English word “mile” derives from the Latin “mille passus”, meaning “a thousand paces”. A Roman mile was the distance a soldier would walk in $1\, 000$ paces (a pace being two steps, one with each foot).

Over time, the actual distance referred to as a “mile” has changed. The modern English mile is $5\, 280$ (modern) feet. The Roman mile is believed to have been about $4\, 854$ (modern) feet. Therefore a distance of $x$ English miles would correspond to $1\, 000 \cdot \frac{5\, 280}{4\, 854}$ Roman paces.

Write a program to convert distances in English miles into Roman paces.

Input

Input will consist of a single line containing a single real number $0 \le X \le 1\, 000$ denoting a distance in English miles. The number $X$ has at most $3$ digits of precision after the decimal point.

Output

Print an integer denoting the closest number of Roman paces equivalent to X. Your answer should be rounded to the closest integer (with an exact $.5$ decimal part rounded up).

Sample Input 1 Sample Output 1
1.0
1088

Sample Input 2 Sample Output 2
20.267
22046