How to resolve the algorithm Greatest subsequential sum step by step in the AutoHotkey programming language

Published on 12 May 2024 09:40 PM
#Autohotkey

How to resolve the algorithm Greatest subsequential sum step by step in the AutoHotkey programming language

Table of Contents

Problem Statement

Given a sequence of integers, find a continuous subsequence which maximizes the sum of its elements, that is, the elements of no other single subsequence add up to a value larger than this one.

An empty subsequence is considered to have the sum of   0;   thus if all elements are negative, the result must be the empty sequence.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Greatest subsequential sum step by step in the AutoHotkey programming language

Source code in the autohotkey programming language

seq = -1,-2,3,5,6,-2,-1,4,-4,2,-1
max := sum := start := 0
Loop Parse, seq, `,
   If (max < sum+=A_LoopField)
      max := sum, a := start, b := A_Index
   Else If sum <= 0
      sum := 0, start := A_Index
; read out the best subsequence
Loop Parse, seq, `,
   s .= A_Index > a && A_Index <= b ? A_LoopField "," : ""
MsgBox % "Max = " max "`n[" SubStr(s,1,-1) "]"

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