Description:
You are given a positive (greater than zero) integer $$$n$$$.
You have to represent $$$n$$$ as the sum of integers (possibly negative) consisting only of ones (digits '1'). For example, $$$24 = 11 + 11 + 1 + 1$$$ and $$$102 = 111 - 11 + 1 + 1$$$.
Among all possible representations, you have to find the one that uses the minimum number of ones in total.
Input Format:
The single line contains one integer $$$n$$$ ($$$1 \le n < 10^{50}$$$).
Output Format:
Print one integer $$$x$$$ — the minimum number of ones, such that there exist a representation of $$$n$$$ as the sum of integers (possibly negative) that uses $$$x$$$ ones in total.
Note:
None