Here, we say that a natural n is primeful if it is possible to obtain a prime number by deleting some (possibly none) digits from n.
For example, 6814 is primeful because deleting 8 and 4 results in 61, which is prime.
Given several n, can you determine whether they are primeful or not?
Input
Input consists of several n, all between 1 and 10105 − 1.
Output
For every given n, tell if it is primeful or not.
Input
6814 1 9609 7 77 9088164 4444444444444444444 660000498 90014 46666669 60649
Output
yes no no yes yes yes no yes yes no yes