LeetCode 3165: Maximum Sum of Subsequence With Non-adjacent Elements Solution

Master LeetCode problem 3165 (Maximum Sum of Subsequence With Non-adjacent Elements), 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.

3165. Maximum Sum of Subsequence With Non-adjacent Elements

Hard

Array Divide and Conquer Dynamic Programming Segment Tree

Problem Explanation

Explanation

To solve this problem, we can use dynamic programming. We will iterate through each query, update the nums array based on the query, and then calculate the maximum sum of a subsequence with non-adjacent elements using dynamic programming. We will keep track of two variables, inclusive and exclusive, where inclusive represents the maximum sum including the current element, and exclusive represents the maximum sum excluding the current element. At each step, we update these variables based on the previous values. Finally, we return the sum of the maximum sums for all queries modulo 10^9 + 7.

Time Complexity: O(N) where N is the number of elements in the nums array. Space Complexity: O(1)

Solution Code

class Solution {
    public int maxSum(int[] nums, int[][] queries) {
        int mod = 1000000007;
        int inclusive = 0, exclusive = 0;
        for (int[] query : queries) {
            int pos = query[0];
            int val = query[1];
            nums[pos] = val;
            int newInclusive = Math.max(inclusive, exclusive + nums[pos]);
            exclusive = inclusive;
            inclusive = newInclusive;
        }
        return inclusive % mod;
    }
}

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