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|00000000| 00 80 5e 55 3a 43 42 4d | 0d 0d 20 20 20 20 20 20 |..^U:CBM|..      |
|00000010| 20 20 20 20 20 20 20 c5 | d1 d5 c1 d4 c9 cf ce d3 |       .|........|
|00000020| 20 31 32 38 0d 0d 20 20 | 20 20 20 20 20 20 20 20 | 128..  |        |
|00000030| 20 20 42 59 20 ca 4f 48 | 4e 20 c9 4f 56 49 4e 45 |  BY .OH|N .OVINE|
|00000040| 0d 0d 20 20 20 20 cc 41 | 53 54 20 4d 4f 4e 54 48 |..    .A|ST MONTH|
|00000050| 20 57 45 20 50 55 42 4c | 49 53 48 45 44 20 41 20 | WE PUBL|ISHED A |
|00000060| 50 52 4f 47 52 41 4d 0d | 46 52 4f 4d 20 c3 4f 4d |PROGRAM.|FROM .OM|
|00000070| 4d 4f 44 4f 52 45 20 cd | 41 47 41 5a 49 4e 45 20 |MODORE .|AGAZINE |
|00000080| 43 41 4c 4c 45 44 0d c6 | d2 c1 c3 d4 c1 cc d3 2e |CALLED..|........|
|00000090| 20 20 c9 4e 20 54 48 45 | 20 54 45 58 54 20 c9 20 |  .N THE| TEXT . |
|000000a0| 45 58 50 4c 41 49 4e 45 | 44 0d 45 56 45 52 59 54 |EXPLAINE|D.EVERYT|
|000000b0| 48 49 4e 47 20 c9 20 4b | 4e 4f 57 20 41 42 4f 55 |HING . K|NOW ABOU|
|000000c0| 54 20 54 48 45 53 45 0d | 43 52 49 54 54 45 52 53 |T THESE.|CRITTERS|
|000000d0| 2c 20 53 4f 20 54 48 49 | 53 20 4d 4f 4e 54 48 20 |, SO THI|S MONTH |
|000000e0| c9 27 4c 4c 20 48 41 56 | 45 20 54 4f 0d 54 52 59 |.'LL HAV|E TO.TRY|
|000000f0| 20 41 20 44 49 46 46 45 | 52 45 4e 54 20 54 41 43 | A DIFFE|RENT TAC|
|00000100| 4b 2e 20 20 c9 27 4c 4c | 20 4c 45 54 20 54 48 45 |K.  .'LL| LET THE|
|00000110| 0d 41 55 54 48 4f 52 20 | 45 58 50 4c 41 49 4e 2e |.AUTHOR |EXPLAIN.|
|00000120| 0d 0d 20 20 20 20 ca 4f | 48 4e 20 c9 4f 56 49 4e |..    .O|HN .OVIN|
|00000130| 45 20 49 53 20 54 48 45 | 20 54 45 43 48 4e 49 43 |E IS THE| TECHNIC|
|00000140| 41 4c 0d 45 58 50 45 52 | 54 20 46 4f 52 20 c3 4f |AL.EXPER|T FOR .O|
|00000150| 4d 4d 4f 44 4f 52 45 20 | cd 41 47 41 5a 49 4e 45 |MMODORE |.AGAZINE|
|00000160| 2e 20 20 c8 49 53 0d 4d | 4f 4e 54 48 4c 59 20 41 |.  .IS.M|ONTHLY A|
|00000170| 52 54 49 43 4c 45 53 20 | 4f 4e 20 48 41 52 44 57 |RTICLES |ON HARDW|
|00000180| 41 52 45 20 28 41 4e 44 | 20 4e 4f 57 0d 4d 41 54 |ARE (AND| NOW.MAT|
|00000190| 48 45 4d 41 54 49 43 41 | 4c 20 44 49 56 45 52 53 |HEMATICA|L DIVERS|
|000001a0| 49 4f 4e 53 29 20 48 41 | 56 45 20 47 52 41 43 45 |IONS) HA|VE GRACE|
|000001b0| 44 0d 54 48 45 20 50 41 | 47 45 53 20 4f 46 20 54 |D.THE PA|GES OF T|
|000001c0| 48 45 20 4d 41 47 41 5a | 49 4e 45 20 46 4f 52 20 |HE MAGAZ|INE FOR |
|000001d0| 54 48 45 0d 4c 41 53 54 | 20 59 45 41 52 2e 0d 20 |THE.LAST| YEAR.. |
|000001e0| 20 20 20 d4 48 49 53 20 | 4d 4f 4e 54 48 20 48 45 |   .HIS |MONTH HE|
|000001f0| 20 48 41 53 20 41 20 4c | 4f 4e 47 2c 0d 44 45 54 | HAS A L|ONG,.DET|
|00000200| 41 49 4c 45 44 20 41 52 | 54 49 43 4c 45 20 4f 4e |AILED AR|TICLE ON|
|00000210| 20 54 48 45 20 50 41 52 | 54 49 43 55 4c 41 52 0d | THE PAR|TICULAR.|
|00000220| 52 45 43 55 52 53 49 56 | 45 20 46 4f 52 4d 55 4c |RECURSIV|E FORMUL|
|00000230| 41 20 54 48 41 54 20 54 | 48 49 53 20 50 52 4f 47 |A THAT T|HIS PROG|
|00000240| 52 41 4d 0d 49 53 20 42 | 41 53 45 44 20 55 50 4f |RAM.IS B|ASED UPO|
|00000250| 4e 2e 20 20 c6 4f 52 20 | 4d 4f 52 45 20 49 4e 46 |N.  .OR |MORE INF|
|00000260| 4f 52 4d 41 54 49 4f 4e | 0d 54 48 41 4e 20 c9 20 |ORMATION|.THAN . |
|00000270| 43 41 4e 20 47 49 56 45 | 20 59 4f 55 2c 20 59 4f |CAN GIVE| YOU, YO|
|00000280| 55 20 4d 41 59 20 57 41 | 4e 54 20 54 4f 0d 43 4f |U MAY WA|NT TO.CO|
|00000290| 4e 53 55 4c 54 20 54 48 | 45 20 4d 41 47 41 5a 49 |NSULT TH|E MAGAZI|
|000002a0| 4e 45 20 41 52 54 49 43 | 4c 45 2e 0d 0d 20 20 20 |NE ARTIC|LE...   |
|000002b0| 20 d4 48 45 20 46 4f 52 | 4d 55 4c 41 20 48 45 20 | .HE FOR|MULA HE |
|000002c0| 55 53 45 53 20 49 53 20 | 41 20 27 47 52 4f 57 54 |USES IS |A 'GROWT|
|000002d0| 48 27 0d 41 4c 47 4f 52 | 49 54 48 4d 20 46 49 52 |H'.ALGOR|ITHM FIR|
|000002e0| 53 54 20 44 45 46 49 4e | 45 44 20 42 59 20 d0 2e |ST DEFIN|ED BY ..|
|000002f0| c6 2e 0d d6 45 52 48 55 | 4c 53 54 20 49 4e 20 31 |....ERHU|LST IN 1|
|00000300| 38 34 35 2e 20 20 c1 53 | 20 57 49 54 48 20 4d 4f |845.  .S| WITH MO|
|00000310| 53 54 0d 46 52 41 43 54 | 41 4c 20 46 4f 52 4d 55 |ST.FRACT|AL FORMU|
|00000320| 4c 41 53 2c 20 49 54 27 | 53 20 51 55 49 54 45 20 |LAS, IT'|S QUITE |
|00000330| 53 49 4d 50 4c 45 0d 54 | 4f 20 4c 4f 4f 4b 20 41 |SIMPLE.T|O LOOK A|
|00000340| 54 2e 20 20 c9 54 20 4c | 4f 4f 4b 53 20 4c 49 4b |T.  .T L|OOKS LIK|
|00000350| 45 20 54 48 49 53 3a 0d | 0d 20 20 20 20 20 20 d8 |E THIS:.|.      .|
|00000360| 3d 28 31 2b d2 29 2a d8 | 2d 28 d2 2a d8 5e 32 29 |=(1+.)*.|-(.*.^2)|
|00000370| 0d 0d 20 20 20 20 c1 53 | 20 59 4f 55 20 43 41 4e |..    .S| YOU CAN|
|00000380| 20 53 45 45 2c 20 54 48 | 45 20 46 4f 52 4d 55 4c | SEE, TH|E FORMUL|
|00000390| 41 20 48 41 53 0d 54 48 | 45 20 55 4e 55 53 55 41 |A HAS.TH|E UNUSUA|
|000003a0| 4c 20 51 55 41 4c 49 54 | 59 20 4f 46 20 48 41 56 |L QUALIT|Y OF HAV|
|000003b0| 49 4e 47 20 d8 0d 4d 45 | 4e 54 49 4f 4e 45 44 20 |ING ..ME|NTIONED |
|000003c0| 41 53 20 41 20 46 55 4e | 43 54 49 4f 4e 20 4f 46 |AS A FUN|CTION OF|
|000003d0| 20 49 54 53 45 4c 46 2e | 0d d4 48 49 53 20 4d 41 | ITSELF.|..HIS MA|
|000003e0| 4b 45 53 20 54 48 45 20 | 45 51 55 41 54 49 4f 4e |KES THE |EQUATION|
|000003f0| 20 27 52 45 43 55 52 53 | 49 56 45 27 2e 0d 20 20 | 'RECURS|IVE'..  |
|00000400| 20 20 d4 48 45 20 46 41 | 43 54 4f 52 20 d2 20 49 |  .HE FA|CTOR . I|
|00000410| 53 20 43 41 4c 4c 45 44 | 20 54 48 45 0d 27 47 52 |S CALLED| THE.'GR|
|00000420| 4f 57 54 48 20 52 41 54 | 45 20 46 41 43 54 4f 52 |OWTH RAT|E FACTOR|
|00000430| 27 20 41 4e 44 20 49 53 | 20 41 20 4e 55 4d 42 45 |' AND IS| A NUMBE|
|00000440| 52 0d 54 48 41 54 20 59 | 4f 55 20 43 41 4e 20 49 |R.THAT Y|OU CAN I|
|00000450| 4e 50 55 54 2e 20 20 c9 | 54 20 44 45 53 43 52 49 |NPUT.  .|T DESCRI|
|00000460| 42 45 53 20 48 4f 57 0d | 46 41 53 54 20 41 20 50 |BES HOW.|FAST A P|
|00000470| 4f 50 55 4c 41 54 49 4f | 4e 20 57 49 4c 4c 20 47 |OPULATIO|N WILL G|
|00000480| 52 4f 57 2e 20 20 c9 46 | 20 59 4f 55 0d 43 4f 4e |ROW.  .F| YOU.CON|
|00000490| 53 49 44 45 52 20 d8 20 | 41 53 20 41 20 50 4f 50 |SIDER . |AS A POP|
|000004a0| 55 4c 41 54 49 4f 4e 20 | 4f 46 20 50 45 4f 50 4c |ULATION |OF PEOPL|
|000004b0| 45 2c 0d 59 4f 55 20 43 | 41 4e 20 49 4d 41 47 49 |E,.YOU C|AN IMAGI|
|000004c0| 4e 45 20 54 48 41 54 20 | 41 53 20 41 20 50 4f 50 |NE THAT |AS A POP|
|000004d0| 55 4c 41 54 49 4f 4e 0d | 47 52 4f 57 53 2c 20 54 |ULATION.|GROWS, T|
|000004e0| 48 45 52 45 20 41 52 45 | 20 4d 4f 52 45 20 50 45 |HERE ARE| MORE PE|
|000004f0| 4f 50 4c 45 20 41 52 4f | 55 4e 44 0d 54 4f 20 52 |OPLE ARO|UND.TO R|
|00000500| 45 50 52 4f 44 55 43 45 | 2c 20 53 4f 20 54 48 45 |EPRODUCE|, SO THE|
|00000510| 20 50 4f 50 55 4c 41 54 | 49 4f 4e 20 47 52 4f 57 | POPULAT|ION GROW|
|00000520| 53 0d 45 56 45 4e 20 46 | 41 53 54 45 52 2e 20 20 |S.EVEN F|ASTER.  |
|00000530| d4 48 45 20 46 49 52 53 | 54 20 48 41 4c 46 20 4f |.HE FIRS|T HALF O|
|00000540| 46 20 54 48 45 0d 46 4f | 52 4d 55 4c 41 2c 20 28 |F THE.FO|RMULA, (|
|00000550| 31 2b d2 29 2a d8 2c 20 | 44 45 53 43 52 49 42 45 |1+.)*., |DESCRIBE|
|00000560| 53 20 54 48 49 53 2e 0d | 0d 20 20 20 20 c2 55 54 |S THIS..|.    .UT|
|00000570| 20 57 48 41 54 20 49 46 | 20 54 48 45 52 45 20 49 | WHAT IF| THERE I|
|00000580| 53 20 41 20 52 45 53 54 | 52 41 49 4e 54 0d 4f 4e |S A REST|RAINT.ON|
|00000590| 20 47 52 4f 57 54 48 3f | 20 20 d7 48 41 54 20 49 | GROWTH?|  .HAT I|
|000005a0| 46 20 54 48 45 52 45 20 | 49 53 20 4e 4f 54 0d 45 |F THERE |IS NOT.E|
|000005b0| 4e 4f 55 47 48 20 46 4f | 4f 44 20 54 4f 20 46 45 |NOUGH FO|OD TO FE|
|000005c0| 45 44 20 54 48 45 20 50 | 4f 50 55 4c 41 54 49 4f |ED THE P|OPULATIO|
|000005d0| 4e 3f 0d d4 48 41 54 27 | 53 20 57 48 41 54 20 54 |N?..HAT'|S WHAT T|
|000005e0| 48 45 20 4c 41 53 54 20 | 48 41 4c 46 20 4f 46 20 |HE LAST |HALF OF |
|000005f0| 54 48 45 0d 45 51 55 41 | 54 49 4f 4e 20 49 53 20 |THE.EQUA|TION IS |
|00000600| 41 4c 4c 20 41 42 4f 55 | 54 2e 20 20 d4 48 45 20 |ALL ABOU|T.  .HE |
|00000610| 4d 49 4e 55 53 0d 53 49 | 47 4e 20 53 41 59 53 20 |MINUS.SI|GN SAYS |
|00000620| 54 48 41 54 20 41 53 20 | 50 4f 50 55 4c 41 54 49 |THAT AS |POPULATI|
|00000630| 4f 4e 20 47 4f 45 53 20 | 55 50 0d 28 41 46 54 45 |ON GOES |UP.(AFTE|
|00000640| 52 20 41 20 50 4f 49 4e | 54 29 20 49 54 20 47 4f |R A POIN|T) IT GO|
|00000650| 45 53 20 44 4f 57 4e 20 | 45 56 45 4e 0d 4d 4f 52 |ES DOWN |EVEN.MOR|
|00000660| 45 2e 0d 0d 20 20 20 20 | d7 48 45 4e 20 59 4f 55 |E...    |.HEN YOU|
|00000670| 20 52 55 4e 20 54 48 45 | 20 50 52 4f 47 52 41 4d | RUN THE| PROGRAM|
|00000680| 2c 20 43 48 4f 4f 53 45 | 0d 54 4f 20 53 45 45 20 |, CHOOSE|.TO SEE |
|00000690| c3 c8 c1 cf d3 20 23 31 | 2e 20 20 d9 4f 55 20 57 |..... #1|.  .OU W|
|000006a0| 49 4c 4c 20 42 45 20 41 | 53 4b 45 44 0d 54 4f 20 |ILL BE A|SKED.TO |
|000006b0| 49 4e 50 55 54 20 41 20 | 47 52 4f 57 54 48 20 46 |INPUT A |GROWTH F|
|000006c0| 41 43 54 4f 52 2e 20 20 | ca 4f 48 4e 0d 53 55 47 |ACTOR.  |.OHN.SUG|
|000006d0| 47 45 53 54 53 20 31 2e | 39 2c 20 32 2e 34 2c 20 |GESTS 1.|9, 2.4, |
|000006e0| 32 2e 35 20 41 4e 44 20 | 32 2e 39 36 20 41 53 0d |2.5 AND |2.96 AS.|
|000006f0| 52 45 41 53 4f 4e 41 42 | 4c 45 20 56 41 4c 55 45 |REASONAB|LE VALUE|
|00000700| 53 2e 20 20 d4 48 45 20 | 53 4d 41 4c 4c 45 52 0d |S.  .HE |SMALLER.|
|00000710| 56 41 4c 55 45 53 20 43 | 52 45 41 54 45 20 50 52 |VALUES C|REATE PR|
|00000720| 45 44 49 43 54 41 42 4c | 45 20 50 4c 4f 54 53 2e |EDICTABL|E PLOTS.|
|00000730| 20 20 d4 48 45 0d 32 2e | 39 36 20 47 52 4f 57 54 |  .HE.2.|96 GROWT|
|00000740| 48 20 46 41 43 54 4f 52 | 20 57 49 4c 4c 20 54 55 |H FACTOR| WILL TU|
|00000750| 52 4e 20 49 4e 54 4f 0d | 43 48 41 4f 53 20 42 45 |RN INTO.|CHAOS BE|
|00000760| 46 4f 52 45 20 54 48 45 | 20 45 4e 44 20 4f 46 20 |FORE THE| END OF |
|00000770| 54 48 45 20 53 43 52 45 | 45 4e 2e 0d c1 20 47 52 |THE SCRE|EN... GR|
|00000780| 4f 57 54 48 20 46 41 43 | 54 4f 52 20 4f 46 20 32 |OWTH FAC|TOR OF 2|
|00000790| 2e 39 36 20 49 53 20 54 | 4f 4f 20 48 49 47 48 0d |.96 IS T|OO HIGH.|
|000007a0| 54 4f 20 52 45 4d 41 49 | 4e 20 50 52 45 44 49 43 |TO REMAI|N PREDIC|
|000007b0| 54 41 42 4c 45 2e 20 20 | c8 4f 50 45 46 55 4c 4c |TABLE.  |.OPEFULL|
|000007c0| 59 20 54 48 45 0d 47 52 | 4f 57 54 48 20 46 41 43 |Y THE.GR|OWTH FAC|
|000007d0| 54 4f 52 20 46 4f 52 20 | 48 55 4d 41 4e 49 54 59 |TOR FOR |HUMANITY|
|000007e0| 20 4f 4e 20 45 41 52 54 | 48 0d 49 53 20 4c 45 53 | ON EART|H.IS LES|
|000007f0| 53 20 54 48 41 4e 20 32 | 2e 39 36 2e 0d 0d 20 20 |S THAN 2|.96...  |
|00000800| 20 20 c9 46 20 59 4f 55 | 20 43 48 4f 4f 53 45 20 |  .F YOU| CHOOSE |
|00000810| c3 c8 c1 cf d3 20 23 32 | 2c 20 59 4f 55 20 43 41 |..... #2|, YOU CA|
|00000820| 4e 0d 53 45 45 20 54 48 | 45 20 52 45 53 55 4c 54 |N.SEE TH|E RESULT|
|00000830| 53 20 4f 46 20 41 4c 4c | 20 4f 46 20 54 48 45 20 |S OF ALL| OF THE |
|00000840| 46 41 43 54 4f 52 53 0d | 4d 45 4e 54 49 4f 4e 45 |FACTORS.|MENTIONE|
|00000850| 44 20 41 42 4f 56 45 2e | 20 20 c9 54 20 49 53 20 |D ABOVE.|  .T IS |
|00000860| 56 45 52 59 20 53 4c 4f | 57 20 41 4e 44 0d 57 49 |VERY SLO|W AND.WI|
|00000870| 4c 4c 20 54 41 4b 45 20 | 41 42 4f 55 54 20 41 4e |LL TAKE |ABOUT AN|
|00000880| 20 48 4f 55 52 20 46 4f | 52 20 49 54 20 54 4f 0d | HOUR FO|R IT TO.|
|00000890| 46 49 4e 49 53 48 2e 0d | 20 20 20 20 d4 48 45 20 |FINISH..|    .HE |
|000008a0| 46 49 52 53 54 20 50 41 | 52 54 20 4f 46 20 54 48 |FIRST PA|RT OF TH|
|000008b0| 45 20 4c 49 4e 45 20 57 | 49 4c 4c 0d 52 45 50 52 |E LINE W|ILL.REPR|
|000008c0| 45 53 45 4e 54 20 41 20 | 47 52 4f 57 54 48 20 46 |ESENT A |GROWTH F|
|000008d0| 41 43 54 4f 52 20 4f 46 | 20 31 2e 39 2c 20 54 48 |ACTOR OF| 1.9, TH|
|000008e0| 45 0d 4e 45 58 54 20 50 | 41 52 54 20 57 49 4c 4c |E.NEXT P|ART WILL|
|000008f0| 20 52 45 50 52 45 53 45 | 4e 54 20 32 2e 34 2e 20 | REPRESE|NT 2.4. |
|00000900| 20 c1 46 54 45 52 0d 54 | 48 41 54 20 59 4f 55 20 | .FTER.T|HAT YOU |
|00000910| 57 49 4c 4c 20 53 45 45 | 20 54 48 45 20 50 4c 4f |WILL SEE| THE PLO|
|00000920| 54 54 49 4e 47 20 46 4f | 52 0d 32 2e 35 20 41 4e |TTING FO|R.2.5 AN|
|00000930| 44 20 32 2e 39 36 2c 20 | 57 48 49 43 48 20 4c 45 |D 2.96, |WHICH LE|
|00000940| 41 44 53 20 41 47 41 49 | 4e 20 54 4f 0d 43 48 41 |ADS AGAI|N TO.CHA|
|00000950| 4f 53 2e 0d 0d 20 20 20 | 20 c6 4f 52 20 4d 4f 52 |OS...   | .OR MOR|
|00000960| 45 20 49 4e 46 4f 52 4d | 41 54 49 4f 4e 20 4f 4e |E INFORM|ATION ON|
|00000970| 20 48 4f 57 20 54 4f 0d | 43 48 41 4e 47 45 20 54 | HOW TO.|CHANGE T|
|00000980| 48 45 20 50 52 4f 47 52 | 41 4d 20 4c 49 53 54 49 |HE PROGR|AM LISTI|
|00000990| 4e 47 20 54 4f 20 46 55 | 52 54 48 45 52 0d 49 4c |NG TO FU|RTHER.IL|
|000009a0| 4c 55 53 54 52 41 54 45 | 20 46 52 41 43 54 41 4c |LUSTRATE| FRACTAL|
|000009b0| 53 2c 20 53 45 45 20 54 | 48 45 20 c1 50 52 49 4c |S, SEE T|HE .PRIL|
|000009c0| 0d 49 53 53 55 45 20 4f | 46 20 c3 4f 4d 4d 4f 44 |.ISSUE O|F .OMMOD|
|000009d0| 4f 52 45 20 cd 41 47 41 | 5a 49 4e 45 2e 0d 0d c4 |ORE .AGA|ZINE....|
|000009e0| c9 d3 cb 20 c6 c9 cc c5 | d3 20 d4 c8 c9 d3 20 d0 |... ....|. .... .|
|000009f0| d2 cf c7 d2 c1 cd 20 d5 | d3 c5 d3 0d 0d c5 d1 d5 |...... .|........|
|00000a00| c1 d4 c9 cf ce d3 2e 31 | 32 38 20 20 20 20 20 20 |.......1|28      |
|00000a10| d4 2e c5 d1 d5 c1 d4 c9 | cf ce d3 2e 31 32 38 0d |........|....128.|
|00000a20| 0d 20 20 20 20 20 20 20 | 20 2a 2a 2a 2a 20 c5 4e |.       | **** .N|
|00000a30| 44 20 4f 46 20 d4 45 58 | 54 20 2a 2a 2a 2a 0d    |D OF .EX|T ****. |
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