#P440C. One-Based Arithmetic

    ID: 7823 Type: RemoteJudge 1000ms 256MiB Tried: 0 Accepted: 0 Difficulty: 6 Uploaded By: Tags>brute forcedfs and similardivide and conquer*1800

One-Based Arithmetic

Description

Prof. 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.

The first line of the input contains integer n (1 ≤ n < 1015).

Print expected minimal number of digits 1.

Input

The first line of the input contains integer n (1 ≤ n < 1015).

Output

Print expected minimal number of digits 1.

121

6