Watson`s memory#5223

Watson`s memory

0.5 seconds
16 megabytes
Easy

Watson's memory is in critical state, it means all its cells are filled with ones. Rybka learned that if one considers all the Watson's memory as one big hexadecimal number, this number would be divisible by . However, she did not believe this and decided to check it. In order to do this, Rybka asked Watson about a number of cells his memory consists of. It turned out that the memory contains many cells – Rybka has not seen such a big numbers before. Help Rybka to check divisibility property of Watson's memory content.

Input

One non-negative decimal integer – number of cells in Watson's memory. This integer has not more than decimal digits.

Output

You need to print checking result as one word (without quotes): "yes" - Watson's memory is divisible by , "no" - Watson's memory is not divisible by .

Examples

Example 1

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