True Leap Year

A given year (y) is called a true leap year if and only if it satisfies the following conditions:

• If \(y\) is not a multiple of 4, then it is not a true leap year.
• If \(y\) is a multiple of 4 but not a multiple of 100, then it is a true leap year.
• If \(y\) is a multiple of 100 but not a multiple of 400, then it is not a true leap year.
• If \(y\) is a multiple of 400 but not a multiple of 3200, then it is a true leap year.
• If \(y\) is a multiple of 3200 but not a multiple of 172800, then it is not a true leap year.
• If \(y\) is a multiple of 172800, then it is a true leap year.

Given a year \(y\), determine whether it is a true leap year.

inputFormat

The input consists of a single integer (y) representing the year.

outputFormat

Output true if the given year (y) is a true leap year; otherwise, output false.

sample

2020

true