LeetCode 3098: Find the Sum of Subsequence Powers Solution

Master LeetCode problem 3098 (Find the Sum of Subsequence Powers), 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.

3098. Find the Sum of Subsequence Powers

Hard

Array Dynamic Programming Sorting

Problem Explanation

Explanation

To solve this problem, we can sort the input array nums. Then we can iterate over all possible subsequences of length k by using a sliding window approach. For each window, we calculate the power as the difference between the maximum and minimum elements in that window. We keep track of the sum of powers for all subsequences and return the sum modulo 10^9 + 7.

Sort the input array nums.
Initialize the sum of powers to 0.
Iterate over all possible subsequences of length k using a sliding window.
For each window, calculate the power as the difference between the maximum and minimum elements.
Add this power to the sum of powers.
Return the sum modulo 10^9 + 7.

Time complexity: O(n log n) - Sorting the array Space complexity: O(1) - Constant extra space is used

Solution Code

class Solution {
    public int sumOfPowers(int[] nums, int k) {
        Arrays.sort(nums);
        int mod = 1000000007;
        int sumPowers = 0;

        for (int i = 0; i <= nums.length - k; i++) {
            int power = nums[i + k - 1] - nums[i];
            sumPowers = (sumPowers + power) % mod;
        }

        return sumPowers;
    }
}

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