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Monotonic Stack Horizon 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 monotonic stack horizon according to the target algorithm rules. Formally, analyze the data sequence, process edge cases, and return the exact optimal result.

Example 1
Input
arr = [4, 7, 10, 13]
Output
27

Explanation: By processing the sequence using Floyd Cycle Detection, the computed optimal value is 27.

Example 2
Input
arr = [4, 8]
Output
8

Explanation: Minimal sequence evaluated to 8.

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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