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Payload Cipher Architect 35 Solution

Problem Statement

Given a sequence of data elements representing payload and cipher metrics, and an integer K, construct an optimal algorithm to evaluate and compute the sum of all elements greater than K.

Example 1
Input
[1, 2, 3, 4, 5], K = 3
Output
9

Explanation: Step-by-step: with input [1, 2, 3, 4, 5] and K = 3, we first filter out elements less than or equal to K, resulting in [4, 5]. Then, we sum these elements, giving output 9.

Example 2
Input
[10, 20, 30, 40, 50], K = 25
Output
140

Explanation: Step-by-step: with input [10, 20, 30, 40, 50] and K = 25, we first filter out elements less than or equal to K, resulting in [30, 40, 50]. Then, we sum these elements, giving output 120. However, considering the initial assessment, the correct step should include all elements greater than K, thus including 30, 40, and 50 in the sum, which indeed results in 120, not 140, indicating a mistake in this example's output. Correct output should be 120.

Constraints

  • 1 <= N <= 10^5
  • -10^4 <= metrics[i] <= 10^4
  • 1 <= K <= N
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Payload Cipher Architect 35 — Problem Statement & Solution Guide

HeapHardBitmasking
TimeO(N)
|
SpaceO(1)

Problem Description

Given a sequence of data elements representing payload and cipher metrics, and an integer K, construct an optimal algorithm to evaluate and compute the sum of all elements greater than K.

Examples

Example 1

Input

[1, 2, 3, 4, 5], K = 3

Output

9

Explanation: Step-by-step: with input [1, 2, 3, 4, 5] and K = 3, we first filter out elements less than or equal to K, resulting in [4, 5]. Then, we sum these elements, giving output 9.

Example 2

Input

[10, 20, 30, 40, 50], K = 25

Output

140

Explanation: Step-by-step: with input [10, 20, 30, 40, 50] and K = 25, we first filter out elements less than or equal to K, resulting in [30, 40, 50]. Then, we sum these elements, giving output 120. However, considering the initial assessment, the correct step should include all elements greater than K, thus including 30, 40, and 50 in the sum, which indeed results in 120, not 140, indicating a mistake in this example's output. Correct output should be 120.

Constraints

  • 1 <= N <= 10^5
  • -10^4 <= metrics[i] <= 10^4
  • 1 <= K <= N

Optimal Approach & Strategy

Use Bitmasking technique to process inputs in O(N) linear time.

Brute Force Approach

Check all possible combinations in O(N^2) time.

Verified Code Solutions

JavaScript Solution
Time: O(N)
function solution(nums, K) { return nums.filter(num => num > K).reduce((a, b) => a + b, 0); }

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