Feature #3: Identify Peak Interaction Times

Description

For this next Twitter feature, the company has decided to create an API that can be used by business accounts on Twitter. This API will identify three disjoint time intervals in which the most users followed or interacted with the businesses’ Tweets. We will be given the historical data of user interaction per hour for a particular business’ Twitter account. The API will have another parameter for hours. Our goal is to find three continuous intervals of a size equal to hours such that the sum of all the entries is the greatest. These time intervals should not overlap with each other.

Consider a Twitter profile with the following history of user interactions: [0, 2, 1, 3, 1, 7, 11, 5, 5] and hours = 2. The interaction array represents that this particular business’ account received no interactions during the first hour, 2 in the second hour, and so on. In this case, we want three intervals of size 2 with the maximum sum. These intervals will be [1, 3], [7, 11], and [5, 5]. Our function should return the indices of the first elements in the intervals. Therefore, the output will be: [2, 5, 7].

Note: If there are multiple answers, we need to return the chronologically earliest one.