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Feature #10: Minimum Variation

Explore how to analyze network traffic data to identify the longest consecutive days with minimal variation using Kotlin. Understand how to apply sliding window techniques and deques for efficient max-min tracking to solve real-world network billing problems. This lesson equips you with skills to optimize network traffic analysis by computing sub-array variations within set thresholds.

Description

We monitored a network for several days and stored the daily traffic rates the network handled in an array. When billing customers for network traffic, we want to offer a discount to the traffic profiles for which traffic the rate stays more or less constant, meaning it does not vary too much. To this end, we want to find the longest stretch of consecutive days on which the traffic variation was the least on our array. Here, we define variation in a sub-array v[i..j] as the absolute difference between the maximum element and the minimum element in the sub-array, max(t[i..j]) - min(t[i..j]). We will define the threshold minimum value against which the variation will be compared. If the traffic variation is below this threshold (for at least x number of days), we will offer a discount on the bill. Therefore, we are looking for the days on which traffic variation is less than or equal to the defined threshold. For example, if a ...