Leetcode Problem 813. Largest Sum of Averages

813. Largest Sum of Averages

Leetcode Solutions

Calculate prefix sums for the input array nums to allow constant time average calculation.
Initialize a 2D array dp where dp[i][k] will hold the maximum score for partitioning nums[i:] into k subarrays.
Populate the dp array starting from the smallest subproblems (largest i and smallest k) and build up to the solution.
For each i and k, consider all possible partitions by iterating over j where i < j <= N, and calculate the score for each partition as the sum of the average of nums[i:j] and dp[j][k-1].
The answer is dp[0][k], which represents the maximum score for partitioning the entire array into at most k subarrays.

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