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Protocol Tome Synthesizer 36 Solution

Problem Statement

Given a sequence of data elements representing protocol and tome metrics, construct an optimal algorithm to evaluate and compute the target synthesizer value under given operational constraints. The algorithm should handle the case when the input array is empty or contains only one element correctly, and it should specify what to do when the sum of elements from the start pointer to the end pointer equals K.

Example 1
Input
[1, 2, 3, 4, 5]
Output
15

Explanation: Step-by-step: with input [1, 2, 3, 4, 5], we initialize two pointers, start and end, to the beginning of the array. We then calculate the sum of elements from start to end, which is 1 + 2 + 3 + 4 + 5 = 15. Since the sum equals K, we return the sum.

Example 2
Input
[10, 20, 30, 40, 50, 60, 70, 80, 90]
Output
250

Explanation: Step-by-step: with input [10, 20, 30, 40, 50, 60, 70, 80, 90], we initialize two pointers, start and end, to the beginning of the array. We then calculate the sum of elements from start to end, which is 10 + 20 + 30 + 40 + 50 + 60 + 70 + 80 + 90 = 250. Since the sum equals K, we return the sum.

Constraints

  • 1 <= N <= 10^5
  • -10^4 <= metrics[i] <= 10^4
  • 1 <= K <= N
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Protocol Tome Synthesizer 36 — Problem Statement & Solution Guide

Two PointersEasyBFS / Union Find
TimeO(n)
|
SpaceO(1)

Problem Description

Given a sequence of data elements representing protocol and tome metrics, construct an optimal algorithm to evaluate and compute the target synthesizer value under given operational constraints. The algorithm should handle the case when the input array is empty or contains only one element correctly, and it should specify what to do when the sum of elements from the start pointer to the end pointer equals K.

Examples

Example 1

Input

[1, 2, 3, 4, 5]

Output

15

Explanation: Step-by-step: with input [1, 2, 3, 4, 5], we initialize two pointers, start and end, to the beginning of the array. We then calculate the sum of elements from start to end, which is 1 + 2 + 3 + 4 + 5 = 15. Since the sum equals K, we return the sum.

Example 2

Input

[10, 20, 30, 40, 50, 60, 70, 80, 90]

Output

250

Explanation: Step-by-step: with input [10, 20, 30, 40, 50, 60, 70, 80, 90], we initialize two pointers, start and end, to the beginning of the array. We then calculate the sum of elements from start to end, which is 10 + 20 + 30 + 40 + 50 + 60 + 70 + 80 + 90 = 250. Since the sum equals K, we return the sum.

Constraints

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

Optimal Approach & Strategy

Use BFS / Union Find 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 || K === 0) return 0;
   let start = 0;
   let end = 0;
   let sum = 0;
   while (start < nums.length && end < nums.length) {
       sum += nums[end];
       if (sum === K) return sum;
       end++;
   }
   return sum;
}

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