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761. Mobile Phone
Vaqt limiti: 1 sekund
Xotira limiti: 64 MB

Mobile phone number is set. Define, what digits are absent in this number.

Input

In a unique line set mobile phone number. It is not empty and not more than 100000 digits.

 

Output

In the first line deduce quantity of digits absent in number. In the second line in ascending order deduce the absent digits parted by a blank.

Samples

Input

Output

1

0631562976

2

4 8

 

Tayyorladi: Azat Yusupov
Text from: e-olimp.com
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