Modify array to maximize sum of adjacent differences
Medium Accuracy: 39.58% Submissions: 91 Points: 4

Given an array arr of size N, the task is to modify values of this array in such a way that the sum of absolute differences between two consecutive elements is maximized. If the value of an array element is X, then we can change it to either 1 or X. Find the maximum possible value of the sum of absolute differences between two consecutive elements.

Example 1:

Input: N = 4, arr[] = [3, 2, 1, 4, 5]
Output: 8
Explanation: We can modify above array as
arr[] = [3, 1, 1, 4, 1]
Sum of differences = 
|1-3| + |1-1| + |4-1| + |1-4| = 8
Which is the maximum obtainable value 
among all choices of modification.
Example 2:
Input: N = 2, arr[] = {1, 5}
Output: 4
Explanation: No modification required

Your Task:  
You don't need to read input or print anything. Complete the function maximumDifferenceSum() which takes N and array arr as input parameters and returns the integer value

Expected Time Complexity: O(N)
Expected Auxiliary Space: O(N)

1 ≤ N ≤ 105

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