home *** CD-ROM | disk | FTP | other *** search
| Unknown | 1995-10-15 | 419.3 KB | [SNKR/KRAK] |
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MacOS 8.1
|
Win98
|
DOS
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| Confidence | Program | Detection | Match Type | Support
|
|---|
| 100%
| file
| data
| default
| |
| 100%
| gt2
| Kopftext: 'Cracks '
| default (weak)
|
|
| id metadata |
|---|
| key | value |
|---|
| macFileType | [SNKR] |
| macFileCreator | [KRAK] |
hex view+--------+-------------------------+-------------------------+--------+--------+
|00000000| 43 72 61 63 6b 73 20 26 | 20 4e 75 6d 62 65 72 73 |Cracks &| Numbers|
|00000010| 0d 32 0d 38 33 37 0d 73 | bf 6e 64 61 67 20 31 35 |.2.837.s|.ndag 15|
|00000020| 2e 20 6f 6b 74 6f 62 65 | 72 20 31 39 39 35 0d 2d |. oktobe|r 1995.-|
|00000030| 0d 2a 2a 2a 20 43 72 61 | 63 6b 73 20 26 20 4e 75 |.*** Cra|cks & Nu|
|00000040| 6d 62 65 72 73 20 2a 2a | 2a 0d 76 41 6c 6c 0d a0 |mbers **|*.vAll..|
|00000050| 00 2c 01 00 01 34 01 83 | 02 0c 01 00 04 70 19 a0 |.,...4..|.....p..|
|00000060| 04 70 2a 20 00 00 00 00 | 00 19 f7 f0 04 60 74 a8 |.p* ....|.....`t.|
|00000070| 7f ff 01 83 01 34 02 0c | 7f ff 7f ff 04 70 19 a0 |.....4..|.....p..|
|00000080| 04 70 2a 20 00 00 00 00 | 00 19 f7 d0 0d 2d 0d 2a |.p* ....|.....-.*|
|00000090| 2a 2a 20 52 65 61 64 20 | 4d 65 20 28 44 69 73 74 |** Read |Me (Dist|
|000000a0| 72 69 62 75 74 69 6f 6e | 29 20 2a 2a 2a 0d 76 41 |ribution|) ***.vA|
|000000b0| 6c 6c 0d a0 57 61 72 6e | 69 6e 67 3a 20 20 4e 45 |ll..Warn|ing: NE|
|000000c0| 56 45 52 20 6d 65 6e 74 | 69 6f 6e 20 74 68 69 73 |VER ment|ion this|
|000000d0| 20 6c 69 73 74 20 28 6f | 72 20 61 6e 79 20 70 61 | list (o|r any pa|
|000000e0| 72 74 20 74 68 65 72 65 | 6f 66 29 20 69 6e 20 61 |rt there|of) in a|
|000000f0| 6e 79 20 70 75 62 6c 69 | 63 20 6f 72 20 6e 6f 6e |ny publi|c or non|
|00000100| 2d 73 65 63 75 72 65 20 | 74 72 61 6e 73 6d 69 73 |-secure |transmis|
|00000110| 73 69 6f 6e 2e 20 20 53 | 70 65 63 69 66 69 63 61 |sion. S|pecifica|
|00000120| 6c 6c 79 20 74 68 69 73 | 20 69 6e 63 6c 75 64 65 |lly this| include|
|00000130| 73 20 6e 6f 6e 2d 65 6c | 69 74 65 20 42 42 53 27 |s non-el|ite BBS'|
|00000140| 73 20 61 6e 64 20 74 68 | 65 20 69 6e 74 65 72 6e |s and th|e intern|
|00000150| 65 74 20 28 61 6c 6c 20 | 61 72 65 61 73 20 6e 6f |et (all |areas no|
|00000160| 20 6d 61 74 74 65 72 20 | 68 6f 77 20 70 72 69 76 | matter |how priv|
|00000170| 61 74 65 20 79 6f 75 20 | 74 68 69 6e 6b 20 69 74 |ate you |think it|
|00000180| 20 69 73 20 2d 20 69 74 | 20 69 73 6e 27 74 29 2c | is - it| isn't),|
|00000190| 20 43 6f 6d 70 75 53 65 | 72 76 65 2c 20 47 65 6e | CompuSe|rve, Gen|
|000001a0| 69 65 2c 20 41 70 70 6c | 65 4c 69 6e 6b 2c 20 61 |ie, Appl|eLink, a|
|000001b0| 6e 64 20 74 68 65 20 6f | 74 68 65 72 20 63 6f 6d |nd the o|ther com|
|000001c0| 6d 65 72 63 69 61 6c 2f | 70 75 62 6c 69 63 20 6e |mercial/|public n|
|000001d0| 65 74 77 6f 72 6b 73 2e | 20 20 4e 45 56 45 52 20 |etworks.| NEVER |
|000001e0| 6c 65 61 76 65 20 74 68 | 69 73 20 6c 69 73 74 20 |leave th|is list |
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|00000210| 75 72 65 2f 6e 6f 6e 2d | 65 6c 69 74 65 20 65 6e |ure/non-|elite en|
|00000220| 76 69 72 6f 6e 6d 65 6e | 74 2e 20 20 4e 65 76 65 |vironmen|t. Neve|
|00000230| 72 20 75 73 65 20 74 68 | 69 73 20 6c 69 73 74 20 |r use th|is list |
|00000240| 69 6e 20 70 75 62 6c 69 | 63 2e 0d 0d 54 68 65 20 |in publi|c...The |
|00000250| 43 26 4e 20 6c 69 73 74 | 20 61 6e 64 2f 6f 72 20 |C&N list| and/or |
|00000260| 70 6f 72 74 69 6f 6e 73 | 20 74 68 65 72 65 6f 66 |portions| thereof|
|00000270| 20 68 61 73 20 62 65 65 | 6e 20 6d 65 6e 74 69 6f | has bee|n mentio|
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|00000290| 61 6e 73 66 65 72 72 65 | 64 20 6f 76 65 72 20 74 |ansferre|d over t|
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|000002b0| 20 70 72 6f 62 61 62 6c | 79 20 6f 74 68 65 72 20 | probabl|y other |
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|00000320| 65 76 65 6c 6f 70 65 72 | 73 20 74 61 6b 69 6e 67 |eveloper|s taking|
|00000330| 20 61 63 74 69 6f 6e 20 | 62 79 20 72 65 2d 65 6e | action |by re-en|
|00000340| 67 69 6e 65 65 72 69 6e | 67 20 74 68 65 69 72 20 |gineerin|g their |
|00000350| 63 6f 70 79 20 70 72 6f | 74 65 63 74 69 6f 6e 20 |copy pro|tection |
|00000360| 2d 20 73 6f 6d 65 20 65 | 76 65 6e 20 67 6f 69 6e |- some e|ven goin|
|00000370| 67 20 73 6f 20 66 61 72 | 20 61 73 20 74 6f 20 74 |g so far| as to t|
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|000003a0| 20 74 72 79 20 74 6f 20 | 75 73 65 20 6f 75 72 20 | try to |use our |
|000003b0| 69 6e 66 6f 72 6d 61 74 | 69 6f 6e 20 28 52 65 61 |informat|ion (Rea|
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|00000400| 20 6f 66 20 75 73 65 20 | 77 68 6f 20 61 63 74 75 | of use |who actu|
|00000410| 61 6c 6c 79 20 70 72 6f | 64 75 63 65 20 6f 72 20 |ally pro|duce or |
|00000420| 67 61 74 68 65 72 20 74 | 68 69 73 20 69 6e 66 6f |gather t|his info|
|00000430| 2e 20 20 49 66 20 74 68 | 69 73 20 63 6f 6e 74 69 |. If th|is conti|
|00000440| 6e 75 65 73 20 74 6f 20 | 68 61 70 70 65 6e 20 74 |nues to |happen t|
|00000450| 68 69 73 20 6c 69 73 74 | 20 77 69 6c 6c 20 62 65 |his list| will be|
|00000460| 63 6f 6d 65 20 75 73 65 | 6c 65 73 73 20 2d 20 77 |come use|less - w|
|00000470| 65 20 77 69 6c 6c 20 6e | 6f 74 20 61 6c 6c 6f 77 |e will n|ot allow|
|00000480| 20 74 68 69 73 20 74 6f | 20 68 61 70 70 65 6e 20 | this to| happen |
|00000490| 61 73 20 77 65 20 77 69 | 6c 6c 20 73 69 6d 70 6c |as we wi|ll simpl|
|000004a0| 79 20 6e 6f 74 20 64 69 | 73 74 72 69 62 75 74 65 |y not di|stribute|
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|000004e0| 2c 20 65 6e 63 72 79 70 | 74 69 6f 6e 20 61 6e 64 |, encryp|tion and|
|000004f0| 20 6b 65 79 20 64 69 73 | 74 72 69 62 75 74 69 6f | key dis|tributio|
|00000500| 6e 20 69 66 20 6e 65 63 | 65 73 73 61 72 79 29 20 |n if nec|essary) |
|00000510| 61 6e 64 20 79 6f 75 20 | 28 65 73 70 65 63 69 61 |and you |(especia|
|00000520| 6c 6c 79 20 74 68 65 20 | 61 73 73 68 6f 6c 65 73 |lly the |assholes|
|00000530| 20 63 61 75 73 69 6e 67 | 20 74 68 65 20 70 72 6f | causing| the pro|
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|00000560| 73 74 20 61 67 61 69 6e | 2e 20 20 0d 0d 42 54 57 |st again|. ..BTW|
|00000570| 3a 20 54 68 69 73 20 6c | 69 73 74 20 69 73 20 61 |: This l|ist is a|
|00000580| 20 74 6f 6f 6c 20 6e 6f | 74 20 61 20 73 6f 6c 75 | tool no|t a solu|
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|000005a0| 20 72 65 61 6c 6c 79 20 | 6e 65 65 64 2f 75 73 65 | really |need/use|
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|00000630| 72 6f 73 6f 66 74 20 69 | 66 20 79 6f 75 20 63 61 |rosoft i|f you ca|
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|00000650| 2a 20 55 73 69 6e 67 20 | 74 68 65 20 43 72 61 63 |* Using |the Crac|
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|00000670| 74 20 6f 66 20 74 68 65 | 73 65 20 63 72 61 63 6b |t of the|se crack|
|00000680| 73 20 63 61 6e 20 62 65 | 20 69 6e 73 74 61 6c 6c |s can be| install|
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|00000d70| 20 4d 61 63 73 42 75 67 | 3a 0d 3d 3d 3d 3d 3d 3d | MacsBug|:.======|
|00000d80| 3d 3d 3d 3d 3d 3d 3d 3d | 3d 3d 3d 3d 3d 3d 3d 3d |========|========|
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|000028e0| 61 72 20 63 29 0d 7b 0d | 09 72 65 74 75 72 6e 20 |ar c).{.|.return |
|000028f0| 28 63 3e 3d 27 41 27 29 | 3f 63 2d 27 41 27 2b 31 |(c>='A')|?c-'A'+1|
|00002900| 30 3a 63 2d 27 30 27 3b | 20 2f 2f 20 4d 61 70 20 |0:c-'0';| // Map |
|00002910| 27 30 27 2e 2e 27 39 27 | 2c 27 41 27 2e 2e 27 5a |'0'..'9'|,'A'..'Z|
|00002920| 27 20 74 6f 20 30 2e 2e | 33 35 20 28 69 65 20 74 |' to 0..|35 (ie t|
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|00002940| 0d 7d 0d 2f 2a 20 2a 2a | 2a 2a 2a 2a 2a 2a 2a 2a |.}./* **|********|
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|000029f0| 2a 2a 2a 2a 2a 2a 2a 2a | 2a 2a 2a 2a 2a 2a 2a 2a |********|********|
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|00002b90| 64 20 69 6d 70 6c 69 65 | 73 20 74 68 61 74 20 53 |d implie|s that S|
|00002ba0| 4e 53 74 72 5b 4c 65 6e | 2d 33 5d 20 69 73 20 61 |NStr[Len|-3] is a|
|00002bb0| 72 62 69 74 72 61 72 79 | 0d 09 09 7b 0d 09 09 09 |rbitrary|...{....|
|00002bc0| 6b 3d 6d 69 64 2d 69 3b | 0d 09 09 09 73 70 65 63 |k=mid-i;|....spec|
|00002bd0| 69 61 6c 43 3d 28 6d 79 | 56 61 6c 28 53 4e 53 74 |ialC=(my|Val(SNSt|
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|00002bf0| 29 25 31 30 3b 0d 0d 09 | 09 09 2f 2f 6e 6f 74 65 |)%10;...|..//note|
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|00002c10| 62 61 73 69 63 61 6c 6c | 79 20 69 6d 70 6c 69 65 |basicall|y implie|
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|00002c40| 28 53 4e 53 74 72 5b 32 | 2a 6b 2d 31 5d 29 0d 09 |(SNStr[2|*k-1])..|
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|00002d30| 30 2d 39 2c 41 2d 5a 20 | 63 68 61 72 61 63 74 65 |0-9,A-Z |characte|
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|00002da0| 20 28 53 4e 53 74 72 5b | 6b 5d 3e 3d 27 41 27 29 | (SNStr[|k]>='A')|
|00002db0| 20 2f 2f 20 54 68 69 73 | 20 74 61 6b 65 73 20 6d | // This| takes m|
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|00002df0| 69 61 6c 42 3d 28 28 28 | 53 4e 53 74 72 5b 32 2a |ialB=(((|SNStr[2*|
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|00002e10| 63 69 61 6c 41 29 2b 6b | 2b 73 70 65 63 69 61 6c |cialA)+k|+special|
|00002e20| 42 2b 28 69 2a 6d 75 6c | 74 29 29 25 31 30 3b 0d |B+(i*mul|t))%10;.|
|00002e30| 09 09 09 65 6c 73 65 0d | 09 09 09 09 73 70 65 63 |...else.|....spec|
|00002e40| 69 61 6c 42 3d 28 28 28 | 53 4e 53 74 72 5b 32 2a |ialB=(((|SNStr[2*|
|00002e50| 6b 2d 31 5d 2d 27 30 27 | 20 20 20 29 5e 73 70 65 |k-1]-'0'| )^spe|
|00002e60| 63 69 61 6c 41 29 2b 6b | 2b 73 70 65 63 69 61 6c |cialA)+k|+special|
|00002e70| 42 2b 28 69 2a 6d 75 6c | 74 29 29 25 31 30 3b 0d |B+(i*mul|t))%10;.|
|00002e80| 0d 09 09 09 69 73 56 61 | 6c 69 64 3d 28 73 70 65 |....isVa|lid=(spe|
|00002e90| 63 69 61 6c 42 3d 3d 73 | 70 65 63 69 61 6c 43 29 |cialB==s|pecialC)|
|00002ea0| 0d 09 09 09 69 2b 2b 3b | 0d 09 09 7d 0d 20 20 20 |....i++;|...}. |
|00002eb0| 20 7d 0d 20 20 20 20 65 | 6c 73 65 20 69 73 56 61 | }. e|lse isVa|
|00002ec0| 6c 69 64 3d 46 41 4c 53 | 45 3b 0d 09 72 65 74 75 |lid=FALS|E;..retu|
|00002ed0| 72 6e 20 69 73 56 61 6c | 69 64 3b 0d 7d 0d 2f 2a |rn isVal|id;.}./*|
|00002ee0| 20 2a 2a 2a 2a 2a 2a 2a | 2a 2a 2a 2a 2a 2a 2a 2a | *******|********|
|00002ef0| 2a 2a 2a 2a 2a 2a 2a 2a | 2a 2a 2a 2a 2a 2a 2a 2a |********|********|
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|00002f60| 2a 2a 2a 2a 2a 2a 2a 2a | 2a 2a 2a 2a 2a 2a 2a 2a |********|********|
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|00003010| 69 6c 6c 20 70 72 65 73 | 65 6e 74 20 74 77 6f 20 |ill pres|ent two |
|00003020| 65 6e 74 69 72 65 6c 79 | 20 64 69 66 66 65 72 65 |entirely| differe|
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|00003090| 72 69 63 74 20 74 68 65 | 20 70 72 6f 62 6c 65 6d |rict the| problem|
|000030a0| 20 64 6f 6d 61 69 6e 20 | 74 6f 20 74 68 61 74 20 | domain |to that |
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|00003120| 2d 20 62 75 74 20 69 6d | 70 6f 73 65 73 20 74 68 |- but im|poses th|
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|00003350| 20 6c 65 6e 25 32 3d 30 | 0d 23 32 20 53 65 74 20 | len%2=0|.#2 Set |
|00003360| 6d 69 64 3d 6c 65 6e 2f | 32 0d 23 33 20 43 68 6f |mid=len/|2.#3 Cho|
|00003370| 6f 73 65 20 6e 75 6d 65 | 72 69 63 20 63 68 61 72 |ose nume|ric char|
|00003380| 61 63 74 65 72 73 20 74 | 6f 20 6f 63 63 75 70 79 |acters t|o occupy|
|00003390| 20 74 68 65 20 66 69 72 | 73 74 20 28 6d 69 64 2d | the fir|st (mid-|
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|000033d0| 63 20 6f 72 20 61 6c 70 | 68 61 20 63 68 61 72 61 |c or alp|ha chara|
|000033e0| 63 74 65 72 20 74 6f 20 | 6f 63 63 75 70 79 20 53 |cter to |occupy S|
|000033f0| 4e 53 74 72 5b 6c 65 6e | 2d 31 5d 0d 23 35 20 43 |NStr[len|-1].#5 C|
|00003400| 68 6f 6f 73 65 20 6e 75 | 6d 65 72 69 63 20 63 68 |hoose nu|meric ch|
|00003410| 61 72 61 63 74 65 72 20 | 27 30 27 20 6f 72 20 27 |aracter |'0' or '|
|00003420| 31 27 20 74 6f 20 6f 63 | 63 75 70 79 20 53 4e 53 |1' to oc|cupy SNS|
|00003430| 74 72 5b 6c 65 6e 5d 0d | 23 36 20 69 66 20 6c 65 |tr[len].|#6 if le|
|00003440| 6e 25 32 3d 31 20 28 6c | 65 6e 20 69 73 20 6f 64 |n%2=1 (l|en is od|
|00003450| 64 29 20 74 68 65 6e 20 | 63 68 6f 6f 73 65 20 61 |d) then |choose a|
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|00003470| 61 63 74 65 72 20 66 6f | 72 20 53 4e 53 74 72 5b |acter fo|r SNStr[|
|00003480| 6c 65 6e 2d 33 5d 0d 23 | 37 20 43 61 6c 63 75 6c |len-3].#|7 Calcul|
|00003490| 61 74 65 20 74 68 65 20 | 63 6f 6e 73 74 61 6e 74 |ate the |constant|
|000034a0| 20 20 20 20 20 20 20 20 | 20 73 70 65 63 69 61 6c | | special|
|000034b0| 41 3d 20 20 6d 79 56 61 | 6c 28 53 4e 53 74 72 5b |A= myVa|l(SNStr[|
|000034c0| 6c 65 6e 5d 29 0d 23 38 | 20 43 61 6c 63 75 6c 61 |len]).#8| Calcula|
|000034d0| 74 65 20 74 68 65 20 69 | 6e 69 74 69 61 6c 20 76 |te the i|nitial v|
|000034e0| 61 6c 75 65 20 6f 66 20 | 73 70 65 63 69 61 6c 42 |alue of |specialB|
|000034f0| 3d 28 28 6d 79 56 61 6c | 28 53 4e 53 74 72 5b 6c |=((myVal|(SNStr[l|
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|00003520| 69 3d 30 0d 23 41 20 20 | 20 49 6e 63 72 65 6d 65 |i=0.#A | Increme|
|00003530| 6e 74 20 69 20 74 68 65 | 6e 20 73 65 74 20 6b 3d |nt i the|n set k=|
|00003540| 6d 69 64 2d 69 0d 23 42 | 20 20 20 43 61 6c 63 75 |mid-i.#B| Calcu|
|00003550| 6c 61 74 65 20 73 70 65 | 63 69 61 6c 42 3d 28 28 |late spe|cialB=((|
|00003560| 28 53 4e 53 74 72 5b 32 | 2a 6b 2d 31 5d 2d 27 30 |(SNStr[2|*k-1]-'0|
|00003570| 27 29 5e 73 70 65 63 69 | 61 6c 41 29 2b 6b 2b 73 |')^speci|alA)+k+s|
|00003580| 70 65 63 69 61 6c 42 2b | 28 69 2a 6d 75 6c 74 29 |pecialB+|(i*mult)|
|00003590| 29 25 31 30 0d 0d 20 20 | 20 20 20 41 74 20 74 68 |)%10.. | At th|
|000035a0| 69 73 20 70 6f 69 6e 74 | 20 77 65 20 6b 6e 6f 77 |is point| we know|
|000035b0| 20 74 68 61 74 20 30 3c | 3d 73 70 65 63 69 61 6c | that 0<|=special|
|000035c0| 41 3c 32 20 61 6e 64 20 | 30 3c 3d 73 70 65 63 69 |A<2 and |0<=speci|
|000035d0| 61 6c 42 3c 31 30 0d 20 | 20 20 20 20 57 65 20 6e |alB<10. | We n|
|000035e0| 65 65 64 20 74 6f 20 66 | 69 6e 64 20 74 68 65 20 |eed to f|ind the |
|000035f0| 76 61 6c 75 65 20 6f 66 | 20 43 3d 6d 79 56 61 6c |value of| C=myVal|
|00003600| 28 53 4e 53 74 72 5b 32 | 2a 69 5d 29 20 73 75 63 |(SNStr[2|*i]) suc|
|00003610| 68 20 74 68 61 74 0d 0d | 20 20 20 20 20 28 43 5e |h that..| (C^|
|00003620| 73 70 65 63 69 61 6c 41 | 29 25 31 30 3d 73 70 65 |specialA|)%10=spe|
|00003630| 63 69 61 6c 42 2c 20 43 | 3d 30 2e 2e 39 2e 0d 0d |cialB, C|=0..9...|
|00003640| 20 20 20 20 20 4c 65 74 | 74 69 6e 67 20 44 3d 43 | Let|ting D=C|
|00003650| 5e 73 70 65 63 69 61 6c | 41 20 74 68 65 20 61 62 |^special|A the ab|
|00003660| 6f 76 65 20 6d 6f 64 75 | 6c 61 72 20 65 71 75 61 |ove modu|lar equa|
|00003670| 74 69 6f 6e 20 62 65 63 | 6f 6d 65 73 20 44 25 31 |tion bec|omes D%1|
|00003680| 30 3d 73 70 65 63 69 61 | 6c 42 2c 20 43 3d 30 2e |0=specia|lB, C=0.|
|00003690| 2e 39 0d 0d 20 20 20 20 | 20 54 68 65 20 67 65 6e |.9.. | The gen|
|000036a0| 65 72 61 6c 20 73 6f 6c | 75 74 69 6f 6e 20 28 74 |eral sol|ution (t|
|000036b0| 68 65 20 65 71 75 61 74 | 69 6f 6e 20 68 61 73 20 |he equat|ion has |
|000036c0| 73 6f 6c 75 74 69 6f 6e | 73 20 73 69 6e 63 65 20 |solution|s since |
|000036d0| 73 70 65 63 69 61 6c 42 | 3c 31 30 29 20 74 6f 20 |specialB|<10) to |
|000036e0| 74 68 69 73 20 6d 6f 64 | 75 6c 61 72 20 65 71 75 |this mod|ular equ|
|000036f0| 61 74 69 6f 6e 0d 20 20 | 20 20 20 69 73 3a 0d 0d |ation. | is:..|
|00003700| 20 20 20 20 20 44 3d 73 | 70 65 63 69 61 6c 42 20 | D=s|pecialB |
|00003710| 2b 20 31 30 2a 6d 2c 20 | 69 6e 74 65 67 65 72 20 |+ 10*m, |integer |
|00003720| 6d 3d 30 2e 2e 69 6e 66 | 69 6e 69 74 79 2e 0d 0d |m=0..inf|inity...|
|00003730| 20 20 20 20 20 48 6f 77 | 65 76 65 72 20 73 69 6e | How|ever sin|
|00003740| 63 65 20 77 65 20 6d 75 | 73 74 20 68 61 76 65 20 |ce we mu|st have |
|00003750| 43 3d 30 2e 2e 39 20 28 | 69 6e 20 6f 72 64 65 72 |C=0..9 (|in order|
|00003760| 20 74 6f 20 67 65 74 20 | 61 20 6e 75 6d 65 72 69 | to get |a numeri|
|00003770| 63 20 53 4e 23 29 20 61 | 6e 64 20 73 70 65 63 69 |c SN#) a|nd speci|
|00003780| 61 6c 41 3d 30 2e 2e 31 | 20 77 65 20 6b 6e 6f 77 |alA=0..1| we know|
|00003790| 0d 20 20 20 20 20 74 68 | 61 74 20 44 3d 30 2e 2e |. th|at D=0..|
|000037a0| 39 20 73 69 6e 63 65 20 | 44 3d 43 5e 73 70 65 63 |9 since |D=C^spec|
|000037b0| 69 61 6c 41 20 61 6e 64 | 20 39 5e 31 3d 38 3c 31 |ialA and| 9^1=8<1|
|000037c0| 30 20 61 6e 64 20 61 2d | 62 3c 3d 30 3c 3d 61 5e |0 and a-|b<=0<=a^|
|000037d0| 62 3c 3d 61 2b 62 20 2c | 20 77 68 65 6e 20 30 3c |b<=a+b ,| when 0<|
|000037e0| 3d 62 3c 3d 61 0d 20 20 | 20 20 20 28 69 65 20 44 |=b<=a. | (ie D|
|000037f0| 3d 30 2e 2e 39 20 73 69 | 6e 63 65 20 30 2e 2e 39 |=0..9 si|nce 0..9|
|00003800| 20 78 6f 72 20 30 2e 2e | 31 3d 30 2e 2e 39 2c 20 | xor 0..|1=0..9, |
|00003810| 62 75 74 20 30 2e 2e 39 | 20 78 6f 72 20 32 2e 2e |but 0..9| xor 2..|
|00003820| 6d 3d 30 2e 2e 39 2b 6d | 20 2d 2d 20 74 68 69 73 |m=0..9+m| -- this|
|00003830| 20 69 73 20 74 68 65 20 | 72 65 61 73 6f 6e 20 77 | is the |reason w|
|00003840| 68 79 0d 20 20 20 20 20 | 73 70 65 63 69 61 6c 41 |hy. |specialA|
|00003850| 20 28 61 6e 64 20 74 68 | 75 73 20 74 68 65 20 6c | (and th|us the l|
|00003860| 61 73 74 20 63 68 61 72 | 61 63 74 65 72 29 20 6d |ast char|acter) m|
|00003870| 75 73 74 20 62 65 20 72 | 65 73 74 72 69 63 74 65 |ust be r|estricte|
|00003880| 64 20 74 6f 20 30 2e 2e | 31 29 0d 0d 20 20 20 20 |d to 0..|1).. |
|00003890| 20 54 68 75 73 20 73 69 | 6e 63 65 20 77 65 20 6b | Thus si|nce we k|
|000038a0| 6e 6f 77 20 74 68 61 74 | 20 44 3d 30 2e 2e 39 20 |now that| D=0..9 |
|000038b0| 77 65 20 63 61 6e 20 69 | 67 6e 6f 72 65 20 74 68 |we can i|gnore th|
|000038c0| 65 20 6d 6f 64 20 6f 70 | 65 72 61 74 6f 72 20 61 |e mod op|erator a|
|000038d0| 6e 64 20 77 6f 72 6b 20 | 77 69 74 68 20 74 68 65 |nd work |with the|
|000038e0| 20 73 69 6d 70 6c 65 20 | 65 71 75 61 74 69 6f 6e | simple |equation|
|000038f0| 0d 0d 20 20 20 20 20 44 | 3d 73 70 65 63 69 61 6c |.. D|=special|
|00003900| 42 20 6f 72 20 43 5e 73 | 70 65 63 69 61 6c 41 3d |B or C^s|pecialA=|
|00003910| 73 70 65 63 69 61 6c 42 | 20 77 68 69 63 68 20 69 |specialB| which i|
|00003920| 6d 70 6c 69 65 73 20 43 | 3d 73 70 65 63 69 61 6c |mplies C|=special|
|00003930| 42 5e 73 70 65 63 69 61 | 6c 41 20 74 68 75 73 20 |B^specia|lA thus |
|00003940| 77 65 20 68 61 76 65 20 | 73 74 65 70 20 23 43 0d |we have |step #C.|
|00003950| 0d 23 43 20 20 20 43 61 | 6c 63 75 6c 61 74 65 20 |.#C Ca|lculate |
|00003960| 74 68 65 20 73 6f 6c 75 | 74 69 6f 6e 20 63 68 61 |the solu|tion cha|
|00003970| 72 61 63 74 65 72 20 61 | 73 20 53 4e 53 74 72 5b |racter a|s SNStr[|
|00003980| 32 2a 69 5d 3d 6d 79 56 | 61 6c 54 6f 43 68 61 72 |2*i]=myV|alToChar|
|00003990| 28 73 70 65 63 69 61 6c | 42 5e 73 70 65 63 69 61 |(special|B^specia|
|000039a0| 6c 41 29 0d 23 44 20 20 | 20 69 66 20 28 69 3c 6d |lA).#D | if (i<m|
|000039b0| 69 64 29 20 67 6f 74 6f | 20 73 74 65 70 20 23 41 |id) goto| step #A|
|000039c0| 0d 0d 45 78 61 6d 70 6c | 65 20 66 6f 72 20 6c 65 |..Exampl|e for le|
|000039d0| 6e 3d 31 34 2c 20 6d 75 | 6c 74 3d 39 0d 0d 43 68 |n=14, mu|lt=9..Ch|
|000039e0| 61 72 20 20 20 20 20 20 | 30 30 30 30 30 30 30 30 |ar |00000000|
|000039f0| 30 30 31 31 31 31 31 0d | 49 6e 64 65 78 20 20 20 |0011111.|Index |
|00003a00| 20 20 30 31 32 33 34 35 | 36 37 38 39 30 31 32 33 | 012345|67890123|
|00003a10| 34 0d 20 20 20 20 20 20 | 20 20 20 20 2d 2d 2d 2d |4. | ----|
|00003a20| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 0d 53 4e 53 74 |--------|---.SNSt|
|00003a30| 72 5b 5d 3d 22 5c 70 31 | 23 33 23 35 23 37 23 39 |r[]="\p1|#3#5#7#9|
|00003a40| 23 31 23 39 31 22 0d 0d | 41 66 74 65 72 20 53 74 |#1#91"..|After St|
|00003a50| 65 70 20 41 0d 0d 6d 69 | 64 3d 37 0d 73 70 65 63 |ep A..mi|d=7.spec|
|00003a60| 69 61 6c 41 3d 6d 79 56 | 61 6c 28 27 31 27 29 3d |ialA=myV|al('1')=|
|00003a70| 31 0d 73 70 65 63 69 61 | 6c 42 3d 28 28 39 5e 31 |1.specia|lB=((9^1|
|00003a80| 29 2b 37 29 25 31 30 3d | 28 38 2b 37 29 25 31 30 |)+7)%10=|(8+7)%10|
|00003a90| 3d 35 0d 0d 41 66 74 65 | 72 20 53 74 65 70 20 43 |=5..Afte|r Step C|
|00003aa0| 20 28 69 3d 31 2c 6b 3d | 36 29 0d 73 70 65 63 69 | (i=1,k=|6).speci|
|00003ab0| 61 6c 42 3d 28 28 28 27 | 31 27 2d 27 30 27 29 5e |alB=((('|1'-'0')^|
|00003ac0| 31 29 2b 36 2b 35 2b 39 | 29 25 31 30 3d 28 30 2b |1)+6+5+9|)%10=(0+|
|00003ad0| 32 30 29 25 31 30 3d 31 | 30 25 31 30 3d 30 0d 53 |20)%10=1|0%10=0.S|
|00003ae0| 4e 53 74 72 5b 32 5d 3d | 6d 79 56 61 6c 54 6f 43 |NStr[2]=|myValToC|
|00003af0| 68 61 72 28 30 5e 31 29 | 3d 27 31 27 0d 0d 41 66 |har(0^1)|='1'..Af|
|00003b00| 74 65 72 20 53 74 65 70 | 20 43 20 28 69 3d 32 2c |ter Step| C (i=2,|
|00003b10| 6b 3d 35 29 0d 73 70 65 | 63 69 61 6c 42 3d 28 28 |k=5).spe|cialB=((|
|00003b20| 28 27 39 27 2d 27 30 27 | 29 5e 31 29 2b 35 2b 30 |('9'-'0'|)^1)+5+0|
|00003b30| 2b 38 29 25 31 30 3d 28 | 28 39 5e 31 29 2b 31 33 |+8)%10=(|(9^1)+13|
|00003b40| 29 25 31 30 3d 32 31 25 | 31 30 3d 31 20 2f 2f 38 |)%10=21%|10=1 //8|
|00003b50| 20 69 73 20 6a 75 73 74 | 20 31 38 25 31 30 20 28 | is just| 18%10 (|
|00003b60| 6d 6f 64 75 6c 61 72 20 | 73 69 6d 70 6c 69 66 69 |modular |simplifi|
|00003b70| 63 61 74 69 6f 6e 29 0d | 53 4e 53 74 72 5b 34 5d |cation).|SNStr[4]|
|00003b80| 3d 6d 79 56 61 6c 54 6f | 43 68 61 72 28 31 5e 31 |=myValTo|Char(1^1|
|00003b90| 29 3d 27 30 27 0d 0d 41 | 66 74 65 72 20 53 74 65 |)='0'..A|fter Ste|
|00003ba0| 70 20 43 20 28 69 3d 33 | 2c 6b 3d 34 29 0d 73 70 |p C (i=3|,k=4).sp|
|00003bb0| 65 63 69 61 6c 42 3d 28 | 28 28 27 37 27 2d 27 30 |ecialB=(|(('7'-'0|
|00003bc0| 27 29 5e 31 29 2b 34 2b | 31 2b 37 29 25 31 30 3d |')^1)+4+|1+7)%10=|
|00003bd0| 28 28 37 5e 31 29 2b 31 | 32 29 25 31 30 3d 31 38 |((7^1)+1|2)%10=18|
|00003be0| 25 31 30 3d 38 0d 53 4e | 53 74 72 5b 36 5d 3d 6d |%10=8.SN|Str[6]=m|
|00003bf0| 79 56 61 6c 54 6f 43 68 | 61 72 28 38 5e 31 29 3d |yValToCh|ar(8^1)=|
|00003c00| 27 39 27 0d 0d 41 66 74 | 65 72 20 53 74 65 70 20 |'9'..Aft|er Step |
|00003c10| 43 20 28 69 3d 34 2c 6b | 3d 33 29 0d 73 70 65 63 |C (i=4,k|=3).spec|
|00003c20| 69 61 6c 42 3d 28 28 28 | 27 35 27 2d 27 30 27 29 |ialB=(((|'5'-'0')|
|00003c30| 5e 31 29 2b 33 2b 38 2b | 36 29 25 31 30 3d 28 28 |^1)+3+8+|6)%10=((|
|00003c40| 35 5e 31 29 2b 31 37 29 | 25 31 30 3d 32 31 25 31 |5^1)+17)|%10=21%1|
|00003c50| 30 3d 31 0d 53 4e 53 74 | 72 5b 38 5d 3d 6d 79 56 |0=1.SNSt|r[8]=myV|
|00003c60| 61 6c 54 6f 43 68 61 72 | 28 31 5e 31 29 3d 27 30 |alToChar|(1^1)='0|
|00003c70| 27 0d 0d 41 66 74 65 72 | 20 53 74 65 70 20 43 20 |'..After| Step C |
|00003c80| 28 69 3d 35 2c 6b 3d 32 | 29 0d 73 70 65 63 69 61 |(i=5,k=2|).specia|
|00003c90| 6c 42 3d 28 28 28 27 33 | 27 2d 27 30 27 29 5e 31 |lB=((('3|'-'0')^1|
|00003ca0| 29 2b 32 2b 31 2b 35 29 | 25 31 30 3d 28 28 33 5e |)+2+1+5)|%10=((3^|
|00003cb0| 31 29 2b 38 29 25 31 30 | 3d 31 30 25 31 30 3d 30 |1)+8)%10|=10%10=0|
|00003cc0| 0d 53 4e 53 74 72 5b 31 | 30 5d 3d 6d 79 56 61 6c |.SNStr[1|0]=myVal|
|00003cd0| 54 6f 43 68 61 72 28 30 | 5e 31 29 3d 27 31 27 0d |ToChar(0|^1)='1'.|
|00003ce0| 0d 41 66 74 65 72 20 53 | 74 65 70 20 43 20 28 69 |.After S|tep C (i|
|00003cf0| 3d 36 2c 6b 3d 31 29 0d | 73 70 65 63 69 61 6c 42 |=6,k=1).|specialB|
|00003d00| 3d 28 28 28 27 31 27 2d | 27 30 27 29 5e 31 29 2b |=((('1'-|'0')^1)+|
|00003d10| 31 2b 30 2b 34 29 25 31 | 30 3d 28 28 31 5e 31 29 |1+0+4)%1|0=((1^1)|
|00003d20| 2b 35 29 25 31 30 3d 35 | 25 31 30 3d 35 0d 53 4e |+5)%10=5|%10=5.SN|
|00003d30| 53 74 72 5b 31 32 5d 3d | 6d 79 56 61 6c 54 6f 43 |Str[12]=|myValToC|
|00003d40| 68 61 72 28 35 5e 31 29 | 3d 27 34 27 0d 0d 74 68 |har(5^1)|='4'..th|
|00003d50| 75 73 20 53 4e 53 74 72 | 5b 5d 3d 22 5c 70 31 31 |us SNStr|[]="\p11|
|00003d60| 33 30 35 39 37 30 39 31 | 31 34 39 31 22 20 28 54 |30597091|1491" (T|
|00003d70| 68 69 73 20 69 73 20 61 | 20 76 61 6c 69 64 20 49 |his is a| valid I|
|00003d80| 6e 73 69 64 65 72 20 32 | 2e 30 2e 31 20 53 4e 23 |nsider 2|.0.1 SN#|
|00003d90| 29 0d 0d 2f 2a 20 2a 2a | 2a 2a 2a 2a 2a 2a 2a 2a |)../* **|********|
|00003da0| 2a 2a 2a 2a 2a 2a 2a 2a | 2a 2a 2a 2a 2a 2a 2a 2a |********|********|
|00003db0| 2a 2a 2a 2a 2a 2a 2a 2a | 2a 2a 2a 2a 2a 2a 2a 2a |********|********|
|00003dc0| 2a 2a 2a 2a 2a 2a 2a 2a | 2a 2a 2a 2a 2a 2a 2a 2a |********|********|
|00003dd0| 2a 2a 2a 2a 2a 2a 2a 2a | 2a 2a 2a 2a 2a 2a 2a 2a |********|********|
|00003de0| 2a 2a 2a 2a 2a 2a 2a 2a | 2a 2a 2a 2a 2a 2a 2a 2a |********|********|
|00003df0| 2a 2a 2a 2a 20 2a 2f 0d | 54 68 65 20 6e 65 78 74 |**** */.|The next|
|00003e00| 20 6d 65 74 68 6f 64 20 | 49 20 70 72 65 73 65 6e | method |I presen|
|00003e10| 74 20 67 65 74 73 20 61 | 72 6f 75 6e 64 20 74 68 |t gets a|round th|
|00003e20| 65 20 6e 6f 20 6e 6f 6e | 2d 64 69 67 69 74 20 63 |e no non|-digit c|
|00003e30| 68 61 72 61 63 74 65 72 | 73 20 28 62 75 74 20 6c |haracter|s (but l|
|00003e40| 61 73 74 20 63 68 61 72 | 61 63 74 65 72 20 6d 75 |ast char|acter mu|
|00003e50| 73 74 20 62 65 20 61 20 | 27 30 27 20 6f 72 20 27 |st be a |'0' or '|
|00003e60| 31 27 29 20 72 65 73 74 | 72 69 63 74 69 6f 6e 20 |1') rest|riction |
|00003e70| 61 74 20 74 68 65 20 63 | 6f 73 74 20 74 68 61 74 |at the c|ost that|
|00003e80| 20 77 65 20 6d 75 73 74 | 20 77 6f 72 6b 20 74 68 | we must| work th|
|00003e90| 65 20 70 72 6f 62 6c 65 | 6d 20 62 6f 74 68 20 66 |e proble|m both f|
|00003ea0| 6f 72 77 61 72 64 73 20 | 61 6e 64 20 62 61 63 6b |orwards |and back|
|00003eb0| 77 61 72 64 73 2e 20 20 | 54 68 69 73 20 74 65 63 |wards. |This tec|
|00003ec0| 68 6e 69 71 75 65 20 63 | 6f 6d 65 73 20 61 62 6f |hnique c|omes abo|
|00003ed0| 75 74 20 62 79 20 6e 6f | 74 69 6e 67 20 74 68 61 |ut by no|ting tha|
|00003ee0| 74 20 74 68 65 20 22 28 | 53 4e 53 74 72 5b 6b 5d |t the "(|SNStr[k]|
|00003ef0| 3e 3d 27 41 27 29 22 20 | 74 65 73 74 20 69 73 20 |>='A')" |test is |
|00003f00| 6f 6e 6c 79 20 64 65 70 | 65 6e 64 65 6e 74 20 75 |only dep|endent u|
|00003f10| 70 6f 6e 20 74 68 65 20 | 66 69 72 73 74 20 28 6d |pon the |first (m|
|00003f20| 69 64 2d 31 29 20 63 68 | 61 72 61 63 74 65 72 73 |id-1) ch|aracters|
|00003f30| 20 6f 66 20 53 4e 53 74 | 72 2e 20 20 54 68 75 73 | of SNSt|r. Thus|
|00003f40| 20 69 66 20 77 65 20 61 | 72 62 69 74 72 61 72 69 | if we a|rbitrari|
|00003f50| 6c 79 20 73 65 6c 65 63 | 74 20 74 68 65 20 6c 61 |ly selec|t the la|
|00003f60| 73 74 20 74 77 6f 20 61 | 6e 64 20 74 68 65 73 65 |st two a|nd these|
|00003f70| 20 63 68 61 72 61 63 74 | 65 72 73 20 77 69 74 68 | charact|ers with|
|00003f80| 69 6e 20 74 68 65 20 72 | 65 73 74 72 69 63 74 69 |in the r|estricti|
|00003f90| 6f 6e 28 73 29 20 74 68 | 69 73 20 74 65 73 74 20 |on(s) th|is test |
|00003fa0| 69 6d 70 6f 73 65 73 20 | 77 65 20 63 61 6e 20 73 |imposes |we can s|
|00003fb0| 6f 6c 76 65 20 66 6f 72 | 20 74 68 65 20 72 65 6d |olve for| the rem|
|00003fc0| 61 69 6e 69 6e 67 20 28 | 6e 65 78 74 20 6d 69 64 |aining (|next mid|
|00003fd0| 2d 31 29 20 63 68 61 72 | 61 63 74 65 72 73 20 69 |-1) char|acters i|
|00003fe0| 6e 20 61 20 74 77 6f 20 | 70 61 72 74 20 70 72 6f |n a two |part pro|
|00003ff0| 63 65 73 73 2e 0d 0d 46 | 69 72 73 74 20 77 65 20 |cess...F|irst we |
|00004000| 6d 75 73 74 20 6e 6f 74 | 65 20 74 68 61 74 20 74 |must not|e that t|
|00004010| 68 65 20 74 65 73 74 20 | 69 6d 70 6c 69 65 73 20 |he test |implies |
|00004020| 74 68 61 74 3a 20 20 69 | 73 41 6c 70 68 61 28 53 |that: i|sAlpha(S|
|00004030| 4e 53 74 72 5b 6b 5d 29 | 3d 69 73 41 6c 70 68 61 |NStr[k])|=isAlpha|
|00004040| 28 53 4e 53 74 72 5b 32 | 2a 6b 2d 31 5d 29 0d 0d |(SNStr[2|*k-1])..|
|00004050| 69 65 20 66 6f 72 20 4c | 65 6e 3d 31 34 0d 0d 6b |ie for L|en=14..k|
|00004060| 20 32 2a 6b 2d 31 0d 3d | 20 3d 3d 3d 3d 3d 0d 36 | 2*k-1.=| =====.6|
|00004070| 20 31 31 0d 35 20 20 39 | 0d 34 20 20 37 0d 33 20 | 11.5 9|.4 7.3 |
|00004080| 20 35 0d 32 20 20 33 0d | 31 20 20 31 0d 0d 74 68 | 5.2 3.|1 1..th|
|00004090| 75 73 20 66 6f 72 20 4c | 65 6e 3d 31 34 0d 0d 43 |us for L|en=14..C|
|000040a0| 68 61 72 20 20 20 20 20 | 20 30 30 30 30 30 30 30 |har | 0000000|
|000040b0| 30 30 30 31 31 31 31 31 | 0d 49 6e 64 65 78 20 20 |00011111|.Index |
|000040c0| 20 20 20 30 31 32 33 34 | 35 36 37 38 39 30 31 32 | 01234|56789012|
|000040d0| 33 34 0d 20 20 20 20 20 | 20 20 20 20 20 2d 2d 2d |34. | ---|
|000040e0| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 0d 53 4e 53 |--------|----.SNS|
|000040f0| 74 72 5b 5d 3d 22 5c 70 | 3f 78 78 79 78 7a 79 3f |tr[]="\p|?xxyxzy?|
|00004100| 78 3f 7a 3f 3f 3f 22 0d | 0d 77 68 65 72 65 20 65 |x?z???".|.where e|
|00004110| 61 63 68 20 63 68 61 72 | 61 63 74 65 72 20 6d 61 |ach char|acter ma|
|00004120| 72 6b 65 64 20 77 69 74 | 68 20 61 6e 64 20 78 2c |rked wit|h and x,|
|00004130| 79 2c 20 6f 72 20 7a 20 | 6d 75 73 74 20 62 65 20 |y, or z |must be |
|00004140| 74 68 65 20 73 61 6d 65 | 20 74 79 70 65 20 28 61 |the same| type (a|
|00004150| 6c 70 68 61 20 6f 72 20 | 64 69 67 69 74 29 20 61 |lpha or |digit) a|
|00004160| 73 20 74 68 65 20 6f 74 | 68 65 72 20 63 68 61 72 |s the ot|her char|
|00004170| 61 63 74 65 72 73 20 73 | 6f 20 6d 61 72 6b 65 64 |acters s|o marked|
|00004180| 2e 20 49 6e 20 74 68 69 | 73 20 63 61 73 65 2c 20 |. In thi|s case, |
|00004190| 77 65 20 61 72 65 20 6f | 6e 6c 79 20 63 68 6f 6f |we are o|nly choo|
|000041a0| 73 69 6e 67 20 74 68 65 | 20 66 69 72 73 74 20 36 |sing the| first 6|
|000041b0| 20 63 68 61 72 61 63 74 | 65 72 73 2c 20 73 6f 20 | charact|ers, so |
|000041c0| 77 65 20 6d 75 73 74 20 | 62 65 20 73 75 72 65 20 |we must |be sure |
|000041d0| 74 68 61 74 20 74 68 65 | 20 63 68 61 72 61 63 74 |that the| charact|
|000041e0| 65 72 73 20 61 74 20 69 | 6e 64 65 78 65 73 20 32 |ers at i|ndexes 2|
|000041f0| 2c 33 20 61 6e 64 20 35 | 20 61 72 65 20 65 69 74 |,3 and 5| are eit|
|00004200| 68 65 72 20 61 6c 6c 20 | 64 69 67 69 74 73 20 6f |her all |digits o|
|00004210| 72 20 61 6c 6c 20 61 6c | 70 68 61 27 73 20 2d 20 |r all al|pha's - |
|00004220| 61 6e 64 20 77 68 65 6e | 20 77 65 20 61 72 65 20 |and when| we are |
|00004230| 73 6f 6c 76 69 6e 67 20 | 66 6f 72 20 74 68 65 20 |solving |for the |
|00004240| 6e 65 78 74 20 73 69 78 | 20 63 68 61 72 61 63 74 |next six| charact|
|00004250| 65 72 73 20 77 65 20 6d | 75 73 74 20 72 65 73 74 |ers we m|ust rest|
|00004260| 72 69 63 74 20 6f 75 72 | 20 73 6f 6c 75 74 69 6f |rict our| solutio|
|00004270| 6e 73 20 74 6f 20 74 68 | 6f 73 65 20 69 6e 20 77 |ns to th|ose in w|
|00004280| 68 69 63 68 20 74 68 65 | 20 63 68 61 72 61 63 74 |hich the| charact|
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|000055b0| 20 46 72 6f 6d 3a 20 36 | 36 30 45 20 54 6f 3a 20 | From: 6|60E To: |
|000055c0| 36 30 30 45 0d 43 4f 44 | 45 20 34 2b 24 31 42 41 |600E.COD|E 4+$1BA|
|000055d0| 43 20 20 20 20 20 46 72 | 6f 6d 3a 20 36 37 30 45 |C Fr|om: 670E|
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