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I. Truncatable primes

time limit per test

3 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputA truncatable prime is a prime number which contains no zeros in decimal notation and all its suffixes are primes. 1 is considered to be not a prime.

You are given a positive integer *n*. Figure out whether it is a truncatable prime.

Input

The only line of input contains an integer *n* (2 ≤ *n* ≤ 10^{7}).

Output

Output "YES" if *n* is a truncatable prime. Output "NO" otherwise. Quotes for clarity only.

Examples

Input

19

Output

NO

Input

9137

Output

YES

Note

In the first sample 19 is a prime but its suffix 9 is not.

In the second sample 9137, 137, 37 and 7 are all primes, so 9137 is a truncatable prime.

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