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Task/Hailstone-sequence/AutoHotkey/hailstone-sequence.ahk
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Task/Hailstone-sequence/AutoHotkey/hailstone-sequence.ahk
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; Submitted by MasterFocus --- http://tiny.cc/iTunis
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; [1] Generate the Hailstone Seq. for a number
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List := varNum := 7 ; starting number is 7, not counting elements
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While ( varNum > 1 )
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List .= ", " ( varNum := ( Mod(varNum,2) ? (varNum*3)+1 : varNum//2 ) )
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MsgBox % List
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; [2] Seq. for starting number 27 has 112 elements
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Count := 1, List := varNum := 27 ; starting number is 27, counting elements
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While ( varNum > 1 )
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Count++ , List .= ", " ( varNum := ( Mod(varNum,2) ? (varNum*3)+1 : varNum//2 ) )
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MsgBox % "Sequence:`n" List "`n`nCount: " Count
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; [3] Find number<100000 with longest seq. and show both values
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MaxNum := Max := 0 ; reset the Maximum variables
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TimesToLoop := 100000 ; limit number here is 100000
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Offset := 70000 ; offset - use 0 to process from 0 to 100000
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Loop, %TimesToLoop%
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{
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If ( TimesToLoop < ( varNum := Index := A_Index+Offset ) )
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Break
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text := "Processing...`n-------------------`n"
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text .= "Current starting number: " Index "`n"
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text .= "Current sequence count: " Count
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text .= "`n-------------------`n"
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text .= "Maximum starting number: " MaxNum "`n"
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text .= "Maximum sequence count: " Max " <<" ; text split to avoid long code lines
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ToolTip, %text%
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Count := 1 ; going to count the elements, but no "List" required
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While ( varNum > 1 )
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Count++ , varNum := ( Mod(varNum,2) ? (varNum*3)+1 : varNum//2 )
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If ( Count > Max )
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Max := Count , MaxNum := Index ; set the new maximum values, if necessary
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}
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ToolTip
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MsgBox % "Number: " MaxNum "`nCount: " Max
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