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CF1157A.Reachable Numbers
Reachable Numbers
Let's denote a function in such a way: we add to , then, while there is at least one trailing zero in the resulting number, we remove that zero. For example,
- : ;
- : ;
- : ;
- : .
We say that some number is reachable from if we can apply function to some (possibly zero) times so that we get as a result. For example, is reachable from because ; and any number is reachable from itself.
You are given a number ; your task is to count how many different numbers are reachable from .
Input
The first line contains one integer ().
Output
Print one integer: the number of different numbers that are reachable from .
Note
The numbers that are reachable from are:
$1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 1098, 1099$.
Samples
1098
20
10
19
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