Mobile Phone#930

Mobile Phone

0.5 seconds
128 megabytes
Very easy

A mobile phone number is given. Determine which digits are absent in this number.

Input

The mobile phone number is provided in a single line.

Output

In the first line, output the number of digits that are absent from the number. In the second line, output the absent digits in ascending order, separated by spaces.

Examples

Example 1

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Example 24

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