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Problems

Divisibility by digits

Divisibility by digits

Four-digit number is given. Determine whether it is divisible by each of its digits.

Input

One four-digit number.

Output

Print "YES" if the number is divisible by each of its digits, and "NO" otherwise.

Time limit 1 second
Memory limit 128 MiB
Input example #1 
2244
Output example #1 
YES
Input example #2 
2344
Output example #2 
NO
Two identical digits
Square of maximum