Given is a digit sequence $S$ consisting of the digits from $1$ through $9$.
Takahashi, the bee, loves multiples of $8$.
He is trying to make a multiple of $8$ by permuting the digit sequence $S$.
Determine whether it is possible.

A digit sequence $S$.

If it is possible to make a multiple of $8$ by permuting the digit sequence $S$, print ${Yes}$; otherwise, print ${No}$.

$1≤|S|≤2×10^5$
Each character of $S$ is one of the digits from $1$ through $9$.

Yes

For example, permuting $1234$ into $1432$ results in a multiple of $8$.

No

There is no way to permute $1333$ into a multiple of $8$.