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Maximum Product Subarray
Medium Accuracy: 29.84% Submissions: 100k+ Points: 4

Given an array Arr[] that contains N integers (may be positive, negative or zero). Find the product of the maximum product subarray.

Example 1:

N = 5
Arr[] = {6, -3, -10, 0, 2}
Output: 180
Explanation: Subarray with maximum product
is [6, -3, -10] which gives product as 180.

Example 2:

N = 6
Arr[] = {2, 3, 4, 5, -1, 0}
Output: 120
Explanation: Subarray with maximum product
is [2, 3, 4, 5] which gives product as 120.

Your Task:
You don't need to read input or print anything. Your task is to complete the function maxProduct() which takes the array of integers arr and as parameters and returns an integer denoting the answer.
Note: Use 64-bit integer data type to avoid overflow.

Expected Time Complexity: O(N)
Expected Auxiliary Space: O(1)

1 ≤ N ≤ 500
-102 ≤ Arri ≤ 102

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Maximum Product Subarray

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