Multiple of 9

An integer N is a multiple of 9 if and only if the sum of the digits in the decimal representation of N is a multiple of 9.

Determine whether N is a multiple of 9.

Constraints

• 0 \leq N < 10^{200000}
• N is an integer.

Input

Input is given from Standard Input in the following format:

N

Output

If N is a multiple of 9, print Yes; otherwise, print No.

Examples

Input

123456789

Output

Yes

Input

0

Output

Yes

Input

31415926535897932384626433832795028841971693993751058209749445923078164062862089986280

Output

No

inputFormat

Input

Input is given from Standard Input in the following format:

N

outputFormat

Output

If N is a multiple of 9, print Yes; otherwise, print No.

Examples

Input

123456789

Output

Yes

Input

0

Output

Yes

Input

31415926535897932384626433832795028841971693993751058209749445923078164062862089986280

Output

No

样例

123456789

Yes