Distinct Absolute Array Elements

medium
Given a sorted array of size N. Count the number of distinct absolute values present in the array.

Input Format

Input is managed for you

Output Format

Output is managed for you

Constraints

1 <= N <= 10^5
-10^8 <= Arr[i] <= 10^8
The array may contain duplicates

Notice

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Example

Input
6
-3 -2 0 3 4 5
Output
5
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