Bob has been given a large number!

As a big fan of the number \(4\), Bob wants his large number to be divisible by \(4\). Is it possible for Bob to reorder the digits to find a number that is divisible by \(4\)? Output YES if there is a valid number and NO otherwise.

Note that a number is invalid if it has leading 0s.

Input Specification

The first and only line of the input will contain a positive integer \(N\) \((0 \lt N \le 10^9)\). \(N\) will not have leading 0s.

Output Specification

On a single line output YES if there is a valid number and NO otherwise.

Scoring

Your code will be graded against all \(16\) testcases. Your in-contest score will be equal to \(100 \cdot \frac{x}{16}\), where \(x\) is the number of cases that match the expected output.

Sample Input 1

601

Sample Output 1

YES

Sample Explanation 1

Bob can reorder \(N\) into 160, which is a multiple of \(4\). Note that the ordering 016 is invalid, making 160 the only valid ordering.

Sample Input 2

41

Sample Output 2

NO

Sample Explanation 2

The only two possible orderings are 41 and 14, neither of which are divisible by \(4\).