Based Arithmetic

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

inputFormat

Input

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

outputFormat

Output

Print expected minimal number of digits 1.

Examples

Input

121

Output

6

样例

121

6

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