' version 17-06-2015 ' compile with: fbc -s console Function hailstone_fast(number As ULongInt) As ULongInt ' faster version ' only counts the sequence Dim As ULongInt count = 1 While number <> 1 If (number And 1) = 1 Then number += number Shr 1 + 1 ' 3*n+1 and n/2 in one count += 2 Else number Shr= 1 ' divide number by 2 count += 1 End If Wend Return count End Function Sub hailstone_print(number As ULongInt) ' print the number and sequence Dim As ULongInt count = 1 Print "sequence for number "; number Print Using "########"; number; 'starting number While number <> 1 If (number And 1) = 1 Then number = number * 3 + 1 ' n * 3 + 1 count += 1 Else number = number \ 2 ' n \ 2 count += 1 End If Print Using "########"; number; Wend Print : Print Print "sequence length = "; count Print Print String(79,"-") End Sub Function hailstone(number As ULongInt) As ULongInt ' normal version ' only counts the sequence Dim As ULongInt count = 1 While number <> 1 If (number And 1) = 1 Then number = number * 3 + 1 ' n * 3 + 1 count += 1 End If number = number \ 2 ' divide number by 2 count += 1 Wend Return count End Function ' ------=< MAIN >=------ Dim As ULongInt number Dim As UInteger x, max_x, max_seq hailstone_print(27) Print For x As UInteger = 1 To 100000 number = hailstone(x) If number > max_seq Then max_x = x max_seq = number End If Next Print "The longest sequence is for "; max_x; ", it has a sequence length of "; max_seq ' empty keyboard buffer While Inkey <> "" : Wend Print : Print : Print "hit any key to end program" Sleep End