Number of Distinct Averages
You have a list of evenlength integers, and you are required to find the minimum and maximum numbers in the list repeatedly, remove them, and then calculate the average of those two numbers. You have to continue this process until the list becomes empty. The task is to count the number of distinct averages you have calculated during this process.
Solution
We can use a set data structure to store the distinct averages, as sets do not allow duplicate values.
Here’s the stepbystep guide to solving this problem:
Sort the List: Sort the list of numbers. This helps in easily finding the minimum and maximum numbers, which will be at the start and end of the sorted list, respectively.
Initialize a Set: Create an empty set to store the distinct averages.
Calculate Averages: Iterate through half the length of the list (since we are removing two numbers at each step) and calculate the averages by taking the smallest and largest numbers from the list. Add each average to the set.
Find Distinct Averages: The number of distinct averages will be equal to the size of the set, as a set only stores unique values.
Code


Key Takeaways
 Sorting the list helps us easily access the minimum and maximum numbers.
 Using a set allows us to keep track of distinct averages efficiently.
 The final answer is the number of unique values in the set, representing the distinct averages.