Sum Of All Odd Length Subarrays

easy
Given an array of positive integers arr, calculate the sum of all possible odd-length subarrays.

A subarray is a contiguous subsequence of the array.

Return the sum of all odd-length subarrays of arr.

Input Format

Input and output are managed for you. Just complete the function.

Output Format

Input and output are managed for you. Just complete the function.

Constraints

1 <= arr.length <= 100
1 <= arr[i] <= 1000

Notice

NA

Example

Input
5
1 4 2 5 3
Output
58
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