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Distinct Absolute Array Elements

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

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Distinct Absolute Array Elements

medium

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

Constraints

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

Format

Input

Input is managed for you

Output

Output is managed for you

Example

Sample Input

6 -3 -2 0 3 4 5

Sample Output

5

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