Leap Year

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

In the Gregorian calendar, a year is leap if it is divisible by $400$, or if it is divisible by $4$ but not by $100$. Check the given year $y$.

Input

One integer $y$ represents the calendar year.

Output

Print YES if $y$ is a leap year in the Gregorian calendar; otherwise print NO.

Subtasks

Subtask 1 (20 points): Year y is in [1,400]. Subtask 2 (30 points): Year y is in [1,2400]. Subtask 3 (50 points): Year y is in [1,9999].

Examples

Example 1

Input

1900

Output

NO

Explanation

1900 is divisible by 100 but not by 400, so it is not a leap year.

Example 2

Input

2000

Output

YES

Explanation

2000 is divisible by 400, so it is a leap year.