Arithmetic Slices 1

medium
1. You are given an array(arr) of integers.
2. You have to find the count of arithmetic slices in the given array.
3. Arithmetic slice is defined as the sub-array having all its elements in A.P and the length of sub-array should be greater than or equal to 3.

Input Format

A number N arr1 arr2.. N numbers

Output Format

Check the sample output and question video.

Constraints

1 <= N <= 10^8
-10^8 <= arr[i] <= 10^8

Notice

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3. We strongly advise you to watch the solution video for prescribed approach.

Example

Input
4
1
2
3
4
Output
3
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Arithmetic Slices 2

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