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C. One-Based Arithmetic

time limit per test

0.5 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputProf. Vasechkin wants to represent positive integer *n* as a sum of addends, where each addends is an integer number containing only 1s. For example, he can represent 121 as 121=111+11+–1. Help him to find the least number of digits 1 in such sum.

Input

The first line of the input contains integer *n* (1 ≤ *n* < 10^{15}).

Output

Print expected minimal number of digits 1.

Examples

Input

121

Output

6

Codeforces (c) Copyright 2010-2019 Mike Mirzayanov

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