LeetCode 2640: Find the Score of All Prefixes of an Array Solution

Master LeetCode problem 2640 (Find the Score of All Prefixes of an Array), a medium challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

2640. Find the Score of All Prefixes of an Array

Medium

Array Prefix Sum

Problem Explanation

Explanation

To solve this problem, we can iterate over the given array nums and calculate the score for each prefix as described in the problem statement. We will use a variable maxVal to keep track of the maximum value encountered so far while iterating. For each element nums[i], the score for that prefix will be nums[i] + maxVal. We update maxVal whenever we encounter a larger element. The score for the next prefix will include the updated maxVal.

Algorithm

Initialize an array ans of length n to store the scores for each prefix.
Initialize maxVal to 0.
Iterate over the elements of nums:
- Update maxVal to be the maximum of the current element and the previous maxVal.
- Calculate the score for the current prefix as nums[i] + maxVal and store it in ans[i].
Return the ans array.

Time Complexity

The time complexity of this algorithm is O(n), where n is the number of elements in the given array nums.

Space Complexity

The space complexity is O(n) for the ans array to store the scores.

Solution Code

class Solution {
    public int[] getSumAbsoluteDifferences(int[] nums) {
        int n = nums.length;
        int[] ans = new int[n];
        int maxVal = 0;

        for (int i = 0; i < n; i++) {
            maxVal = Math.max(maxVal, nums[i]);
            ans[i] = nums[i] + maxVal;
        }

        return ans;
    }
}

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