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Protocol Pipeline Partition 37 Solution

Problem Statement

Given a sequence of data elements representing protocol and pipeline metrics, construct an optimal algorithm to evaluate and compute the target partition value under given operational constraints.

Example 1
Input
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]
Output
0

Explanation: Step-by-step: Given the input array [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20], we need to find the sum of all elements greater than K. In this case, K is not specified, so we assume K = 15. Since there are no elements greater than 15, the correct output is 0.

Example 2
Input
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21]
Output
21

Explanation: Step-by-step: Given the input array [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21], we need to find the sum of all elements greater than K. In this case, K = 15. Since there are elements greater than 15 (21), the correct output is 21.

Constraints

  • 1 <= N <= 10^5
  • -10^4 <= metrics[i] <= 10^4
  • 1 <= K <= N
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Protocol Pipeline Partition 37 — Problem Statement & Solution Guide

HeapEasyDFS Traversal
TimeO(n)
|
SpaceO(1)

Problem Description

Given a sequence of data elements representing protocol and pipeline metrics, construct an optimal algorithm to evaluate and compute the target partition value under given operational constraints.

Examples

Example 1

Input

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]

Output

0

Explanation: Step-by-step: Given the input array [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20], we need to find the sum of all elements greater than K. In this case, K is not specified, so we assume K = 15. Since there are no elements greater than 15, the correct output is 0.

Example 2

Input

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21]

Output

21

Explanation: Step-by-step: Given the input array [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21], we need to find the sum of all elements greater than K. In this case, K = 15. Since there are elements greater than 15 (21), the correct output is 21.

Constraints

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

Optimal Approach & Strategy

Use DFS Traversal 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) {
   if (nums.length === 0 || nums.length === 1) return 0;
   let sum = 0;
   for (let i = 0; i < nums.length; i++) {
       if (nums[i] > K) sum += nums[i];
   }
   return sum;
}

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