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3180: One-Based Arithmetic

金币值:2 定数:1 时间限制:2.000 s 内存限制:256 M
正确:0 提交:0 正确率:0.00% 命题人:
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题目描述

time limit per test
0.5 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

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.

Input

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

Output

Print expected minimal number of digits 1.

Examples
Input
121
Output
6