Three-Prime Number

A number is called a Three-Prime Number if every set of three consecutive digits forms a prime number greater than $$100$$. For example, the 6-digit number 113797 is a Three-Prime Number because its consecutive three-digit segments, namely $$113$$, $$137$$, $$379$$, and $$797$$, are all prime numbers.

Your task is to determine whether a given number is a Three-Prime Number.

Note: A three-digit segment must satisfy the conditions:

• It is greater than $$100$$.
• It is a prime number.

inputFormat

The input consists of a single line containing a number (without spaces). This number is provided as a string. It is guaranteed that the number has at least three digits.

outputFormat

Output a single line: print Yes if the number is a Three-Prime Number; otherwise, print No.

sample

113797

Yes