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LeetCode 2926: Maximum Balanced Subsequence Sum Solution

Master LeetCode problem 2926 (Maximum Balanced Subsequence Sum), a hard 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.

Problem Explanation

Explanation:

  • Algorithmic Idea:
    1. Sort the input array nums.
    2. Initialize two arrays prefixSums and maxSum with size n where n is the length of nums.
    3. Iterate over the sorted nums array and update prefixSums and maxSum arrays.
    4. Calculate the maximum balanced subsequence sum by iterating over nums array.
  • Time Complexity: O(nlogn) for sorting + O(n) for iterating = O(nlogn)
  • Space Complexity: O(n) for the two arrays.

:

Solution Code

class Solution {
    public int maxBalanceSum(int[] nums) {
        Arrays.sort(nums);
        int n = nums.length;
        int[] prefixSums = new int[n];
        int[] maxSum = new int[n];
        
        prefixSums[0] = nums[0];
        maxSum[0] = nums[0];
        
        for (int i = 1; i < n; i++) {
            prefixSums[i] = prefixSums[i - 1] + nums[i];
            maxSum[i] = Math.max(maxSum[i - 1], prefixSums[i]);
        }
        
        int res = Integer.MIN_VALUE;
        for (int i = 0; i < n; i++) {
            res = Math.max(res, maxSum[i] - (i > 0 ? prefixSums[i - 1] : 0));
        }
        
        return res;
    }
}

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