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Accelerated Path Weight Solution

Problem Statement

You are given an array or sequence of length $N$ representing numerical values or system metrics. Your task is to compute the accelerated path weight according to the target algorithm rules. Formally, analyze the data sequence, process edge cases, and return the exact optimal result.

Example 1
Input
arr = [6, 7, 8, 9]
Output
5

Explanation: By processing the sequence using Depth-First Search, the computed optimal value is 5.

Example 2
Input
arr = [2, 4]
Output
2

Explanation: Minimal sequence evaluated to 2.

Constraints

  • 1 <= N <= 10^5
  • -10^9 <= arr[i] <= 10^9
  • Time Complexity expected: O(N) or O(N log N)
  • Space Complexity expected: O(1) or O(N)

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