Make a Number

Two positive integers $A, B$ are given.

You may apply the following two operations to $A$ in any order and any number of times.

1. Let the decimal representation of $A$ be $d_{k-1} \cdots d_0$. That is, $A = \sum_{i=0}^{k-1} d_i \cdot 10^i$, where each $d_i$ is an integer with $0 \le d_i \le 9$, and $d_{k-1} \ne 0$. Choose any integer $i$ ($0 \le i < k$) and any $x$ ($0 \le x \le 9$), and replace $d_i$ with $x$. If $i = k-1$, then $0 < x \le 9$ must hold. The cost of this operation is $|x - d_i|$.
2. Choose any integer $y$ with $y > -A$ and add it to $A$. The cost of this operation is $|y|$.

For example, choosing $i=1$ and $x=7$ for the number 2024 and performing operation 1 once gives 2074. The cost of this operation is $|7-2| = 5$.

However, choosing $i=3$ and $x=0$ to get 0024, or choosing $i=4$ and $x=1$ to get 12024, is not allowed because it violates the conditions.

Also, choosing $y=-926$ for the number 926 and performing operation 2 twice to get 0 is not allowed either.

What is the minimum total cost of turning $A$ into $B$?

The first line contains two positive integers $A, B$ ($1 \le A, B < 5\,000\,000$), separated by a space.

Print the minimum total cost of turning $A$ into $B$.