Package g3101_3200.s3165_maximum_sum_of_subsequence_with_non_adjacent_elements

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    3165 - Maximum Sum of Subsequence With Non-adjacent Elements.

    Hard

    You are given an array nums consisting of integers. You are also given a 2D array queries, where <code>queriesi = pos<sub>i</sub>, x<sub>i</sub></code>.

    For query i, we first set <code>numspos<sub>i</sub></code> equal to <code>x<sub>i</sub></code>, then we calculate the answer to query i which is the maximum sum of a subsequence of nums where no two adjacent elements are selected.

    Return the sum of the answers to all queries.

    Since the final answer may be very large, return it modulo <code>10<sup>9</sup> + 7</code>.

    A subsequence is an array that can be derived from another array by deleting some or no elements without changing the order of the remaining elements.

    Example 1:

    Input: nums = 3,5,9, queries = \[\[1,-2],0,-3]

    Output: 21

    Explanation: After the 1<sup>st</sup> query, nums = [3,-2,9] and the maximum sum of a subsequence with non-adjacent elements is 3 + 9 = 12. After the 2<sup>nd</sup> query, nums = [-3,-2,9] and the maximum sum of a subsequence with non-adjacent elements is 9.

    Example 2:

    Input: nums = 0,-1, queries = \[\[0,-5]]

    Output: 0

    Explanation: After the 1<sup>st</sup> query, nums = [-5,-1] and the maximum sum of a subsequence with non-adjacent elements is 0 (choosing an empty subsequence).

    Constraints:

    • <code>1 <= nums.length <= 5 * 10<sup>4</sup></code>

    • <code>-10<sup>5</sup><= numsi<= 10<sup>5</sup></code>

    • <code>1 <= queries.length <= 5 * 10<sup>4</sup></code>

    • <code>queriesi == pos<sub>i</sub>, x<sub>i</sub></code>

    • <code>0 <= pos<sub>i</sub><= nums.length - 1</code>

    • <code>-10<sup>5</sup><= x<sub>i</sub><= 10<sup>5</sup></code>

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final Integer maximumSumSubsequence(IntArray nums, Array<IntArray> queries)

      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait