4358: One-Based Arithmetic

Memory Limit:256 MB Time Limit:2.000 S
Judge Style:Text Compare Creator:
Submit:0 Solved:0

Description

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