| Author |
Message |
| Chuck |
Posted: Thu Apr 04, 2002 2:21 am Post subject: 1 |
|
I tried lots of numbers, some with hundreds of digits. None ran off to overflow my 2600 digit limit. Most dropped to zero quickly. I don't know if any pair of numbers start a series that runs off to infinity.
If I subtract the highest cube instead of highest square the series usually gets very high very quickly and doesn't come back down. |
|
 |
| CrystyB |
Posted: Thu Apr 04, 2002 1:44 am Post subject: 0 |
|
Chuck, i meant can it be transcedental? (going into no loops, 0's or no 0's)
It sometimes rises, but i think in general it should not be possible, b/c of a finite number of values. |
|
 |
| Chuck |
Posted: Sun Mar 31, 2002 10:14 pm Post subject: -1 |
|
| Ok, ten points. |
|
 |
| ctrlaltdel |
Posted: Sun Mar 31, 2002 10:07 pm Post subject: -2 |
|
| oh, why didnt i think of that.... but hey, don't i get points for solving the question whether chuck is evil? |
|
 |
| Chuck |
Posted: Sun Mar 31, 2002 4:19 am Post subject: -3 |
|
| See reply 83. |
|
 |
| CrystyB |
Posted: Sun Mar 31, 2002 2:38 am Post subject: -4 |
|
| this has a second "thoeretically possible" question: can it not repeat itself? |
|
 |
| Chuck |
Posted: Sat Mar 30, 2002 12:30 am Post subject: -5 |
|
I've posted worse series puzzles.
Yes, I'm evil, but it's a lighthearted, funloving evil. |
|
 |
| SaberKitty |
Posted: Fri Mar 29, 2002 11:39 pm Post subject: -6 |
|
How would you describe that as easy? I agree with Lepton, you are evil, or maybe just crazy-with a warped perception of the world of math. But I must admit i had fun attempting to find the answer.  edit: spelling
[This message has been edited by SaberKitty (edited 03-29-2002 06:39 PM).] |
|
 |
| Chuck |
Posted: Fri Mar 29, 2002 11:29 pm Post subject: -7 |
|
I guess this has been around long enough. The answer, invisible, is:
Multiply the last two numbers and subtract the largest square that won't cause the result to go negative.
Example: The starting numbers 7 and 11 when multiplied give 77. The largest square equal to or less than 77 is 64, so subtract 64. The result, and third number of the sequence, is 13. Then multiply 11 and 13 giving 143. Subtract 121 giving 22 as the fourth number of the sequence. Continue until bored or zero is reached. |
|
 |
| The Hint Fairy |
Posted: Wed Mar 27, 2002 9:44 pm Post subject: -8 |
|
This just in: My "1057" was a typo for 1078. I got DOurk's correct, but the first number was typoed!
1057 853 1020 1436 620 1071 1424 2348 1968 2663 1263 3480 2024 5111 2008 3679 5343 5408 4319 8928 8351 11772 747 2459 848 96 183 144 108 176 239 39 105 126 5 5 0
The SCYTHER sequence: 10325 208518 26909 102026 76818 49427 105362 84678 96411 45342 9873 602 4577 3073 2621 89 945 5 101 21 5 5 0
The VULPIX sequence:
212012 16924 80188 1287 14031 3896 8327 8967 1328 5676 2703 7172 8312 15264 19199 27612 18212 33968 8832 22976 4007 807 845 1290 114 371 269 574 742 804 584 311 148 232 111 152 231 143 272 87 255 281 366 446 20 84 80 159 176 95 79 109 147 147 0
|
|
 |
| mathgrant |
Posted: Wed Mar 27, 2002 8:50 pm Post subject: -9 |
|
| Yes, they arrived only three days after I sent the e-mail with my address, and they were great! I loved that one with the curious and interesting numbers, I actually read the whole thing in one day. |
|
 |
| Jingle47 |
Posted: Wed Mar 27, 2002 5:55 pm Post subject: -10 |
|
If you will permit me Chuck.... To answer the previous questions
17 18 17 17 0
And the other one looks like this... 28 6 24 0
And all I will say about 1078 and 853 is that it does not end in 0.......
[This message has been edited by Jingle47 (edited 03-27-2002 12:56 PM).] |
|
 |
| CrystyB |
Posted: Wed Mar 27, 2002 4:59 pm Post subject: -11 |
|
Courk asked for 1078 and 853... And may i request 17&18 and 28&6? TY!
Is there a reason you're still unregistered, Hint Fairy? What if your loop is wrong? Shouldn't you be able to edit/delete your posts?
[This message has been edited by CrystyB (edited 03-27-2002 12:02 PM).] |
|
 |
| Chuck |
Posted: Wed Mar 27, 2002 3:25 pm Post subject: -12 |
|
You obviously know the rules. The prize list is in the second post on page 1 here: http://www.greylabyrinth.com/Forums/Forum7/HTML/002929-6.html
Choose any three and email me a postal mailing address at Chuck1863@msn.com
Mathgrant took all the good stuff, but there's plently left. I'm now reading Flatterland by Ian Stewart. You can have that as one of your choices if you're willing to wait a few days.
Mathgrant, did the box of books arrive? |
|
 |
| Jingle47 |
Posted: Wed Mar 27, 2002 1:11 pm Post subject: -13 |
|
Well I believe these examples may show that I have figured it out.... Are there any prizes left? Prizes for me? How do I get them? 1111 4747 2301 6431 6015 6504 9044 8615 15784 239 1012 787 780 771 755 1461 555 855 1181 1739 270 305 554 49 250 150 251 14 33 21 17 33 32 32 0
Wow that was longer than I thought, but I strarted so I must finish.... Here is a shorter one...
2002 47 458 210 80 159 176 98 79 109 147 147 0
And here is my birthday sequence....
910 1976 2560 559 624 716 560 271 439 633 158 158 0
|
|
 |
| The Hint Fairy |
Posted: Wed Mar 27, 2002 5:37 am Post subject: -14 |
|
1057 853 1770 1826 2811 2661 5315 5615 10281 13406 22965 6674 4010 2811 2661
Hey! A loop! So the answer is no, it doesn't always give 0!
100 36 0
I think Jingle knows it. . .
100 37 100 100 0
I think Jingle may know it! If you do, don't forget the prizes! |
|
 |
| Jingle47 |
Posted: Wed Mar 27, 2002 3:54 am Post subject: -15 |
|
What about 100 and 36? They should return zero right? What about 100 and 37? |
|
 |
| Courk |
Posted: Wed Mar 27, 2002 3:11 am Post subject: -16 |
|
| How about... 1078 and 853? |
|
 |
| ctrlaltdel |
Posted: Sun Mar 24, 2002 1:08 pm Post subject: -17 |
|
thousand apologies o jen the merciful!!! what can i say to defend your wrath? erm.. btw psyduck conflicts also with poliwrath the obviously inadequate knowledge of english is my only excuse - and this of course is but my shame and blame. i hereby proclaim that i will (try to) not be picky with you again. 
[This message has been edited by ctrlaltdel (edited 03-24-2002 08:09 AM).] |
|
 |
| Jen Aside |
Posted: Fri Mar 22, 2002 12:48 pm Post subject: -18 |
|
any = one
It does not conflict with at least ONE, STOP BEING PICKY!!!!!!!111 
Muk, in my boredom, I seem to have skipped in subconscious realization of its inconsequence, on several levels. However, I like Mew, so Mew is on the list. |
|
 |
| The Hint Fairy |
Posted: Thu Mar 21, 2002 8:17 pm Post subject: -19 |
|
| Infernal Series Error |
|
 |
| The Hint Fairy |
Posted: Thu Mar 21, 2002 8:16 pm Post subject: -20 |
|
This puzzle is too hard, obviously. We need a vacation!
Let's go on down to Squaresville! |
|
 |
| Mendoza |
Posted: Thu Mar 21, 2002 8:00 pm Post subject: -21 |
|
~newbie tiptoes in, clears throat~
Well, some days ago I noticed that
if a chuck b = c (which we know to be equivalent to b chuck a = c) with a>b then 1/if a-b is even, then c=2b-(((a-b)/2)-1)^2 (if positive); and 2/if a-b is odd then c=b-((a-b-1)/2))^2 (if positive).
Unfortunately as soon as a-b is large enough compared to b, these expressions give negative quantities and then I don't know what's going on anymore!! Clearly a by-product of the actual rule which is simpler and more elegant...
Like most people here I'm sure, I reckon that as a 14-year old I would have cracked this in minutes. 
|
|
 |
| ctrlaltdel |
Posted: Wed Mar 20, 2002 11:55 pm Post subject: -22 |
|
5 chuck 8 = 4 5 chuck 6 = 5 (and also 6 chuck 5 = 5) 5 chuck 5 = 0 5 chuck 1 = 1
it can't be that hard!! |
|
 |
| Chuck |
Posted: Wed Mar 20, 2002 8:20 pm Post subject: -23 |
|
I wouldn't consider zero to be no data. It's just that applying the rule to zero and any other number always results in zero. The sequence continues. It's just not very interesting any more.
I was thinking of replacing you with Mathgrant in the next universe design team anyway. |
|
 |
| ChienFou |
Posted: Wed Mar 20, 2002 7:47 pm Post subject: -24 |
|
The fact that you are losing data as the sequence progresss (ie you can't backtrack) suggests to me that finally you will have no data. Hence the series will always end with zero. Is this a valid postulate? Alternatively can you construct a starting position in which no data is ever lost? Then if you can, there will be a series which does not converge on zero.
I am of course no nearer to solving the problem, and I'm very tempted to break up my partnership with Chuck in "Design-a-Universe Corp" because anyone who is this malevolent can't design a benign universe  |
|
 |
| The Hint Fairy |
Posted: Wed Mar 20, 2002 5:56 pm Post subject: -25 |
|
| Speaking of missing stuff, you missed Muk. |
|
 |
| The Hint Fairy |
Posted: Wed Mar 20, 2002 5:52 pm Post subject: -26 |
|
| I can't believe I missed Flareon! |
|
 |
| Chuck |
Posted: Wed Mar 20, 2002 5:42 pm Post subject: -27 |
|
| You wouldn't get a unique series by working backward. When working forward, different starting numbers can fall into the same ending sequence. |
|
 |
| ctrlaltdel |
Posted: Wed Mar 20, 2002 5:28 pm Post subject: -28 |
|
can the sequence be worked the other way??
if you know the last digits are:
5 6 5 5 0
can you work your way back up the list? going up to infinity? |
|
 |
| ctrlaltdel |
Posted: Wed Mar 20, 2002 12:04 pm Post subject: -29 |
|
what do you mean it does not conflict?
it does conflict with Dunsparce, Cyndaquil, and Dragonite
[This message has been edited by ctrlaltdel (edited 03-20-2002 07:05 AM).] |
|
 |
| Jen Aside |
Posted: Wed Mar 20, 2002 11:02 am Post subject: -30 |
|
I feel so silly but here are all the non-repeating Pokémon names I found, in order from highest number of letters to lowest, then alphabetized by letter content... problem letters seem to be A (mostly A), O, R, and sometimes I.
code:
Dunsparce ACDENPRSU Cyndaquil ACDILNQUY Dragonite ADEGINORT Poliwrath AHILOPRTW Growlithe EGHILORTW
Kabutops ABKOPSTU Clefairy ACEFILRY Articuno ACINORTU Quagsire AEGIQRSU Sunflora AFLNORSU Cloyster CELORSTY Squirtle EILQRSTU Slowking GIKLNOSW
Machoke ACEHKMO Chansey ACEHNSY Pikachu ACHIKPU Kingdra ADGIKNR Metapod ADEMOPT Flareon AEFLNOR Seaking AEGIKNS Haunter AEHNRTU Starmie AEIMRST Persian AEINPRS Omanyte AEMNOTY Spearow AEOPRSW Poliwag AGILOPW Miltank AIKLMNT Ivysaur AIRSUVY Snorlax ALNORSX Umbreon BEMNORU Golduck CDGKLOU Psyduck CDKPSUY Shuckle CEHKLSU Scyther CEHRSTY Pidgeot DEGIOPT Dugtrio DGIORTU Kingler EGIKLNR Tyrogue EGORTUY Moltres ELMORST
Ledyba ABDELY Crobat ABCORT Golbat ABGLOT Kabuto ABKOTU Raichu ACHIRU Machop ACHMOP Ledian ADEILN Zapdos ADOPSZ Fearow AEFORW Horsea AEHORS Mankey AEKMNY Slugma AGLMSU Gastly AGLSTY Raikou AIKORU Ponyta ANOPTY Tauros AORSTU Staryu ARSTUY Cubone BCENOU Swinub BINSUW Pineco CEINOP Scizor CIORSZ Pidgey DEGIPY Rhydon DHNORY Togepi EGIOPT Meowth EHMOTW Vulpix ILPUVX
Magby ABGMY Arbok ABKOR Zubat ABTUZ Ekans AEKNS Lugia AGILU Aipom AIMOP Pichu CHIPU Golem EGLMO Hypno HNOPY
Natu ANTU Xatu ATUX Onix INOX Jynx JNXY
Mew EMW
I came across a puzzle idea (or three, actually) in doing this... but I haven't decided whether to bother formally posting anything... but no, Psyduck is the only one that doesn't conflict with any of the top five...
|
|
 |
| The Hint Fairy |
Posted: Tue Mar 19, 2002 5:10 pm Post subject: -31 |
|
I looked at Nintendo's Official Pokedex, and found these 7's with no repeats:
Ivysaur Metapod Pidgeot Spearow Pikachu Dugtrio Persian Psyduck Golduck Poliwag Machoke Haunter Kingler Chansey Seaking Starmie Scyther Omanyte Snorlax Moltres Umbreon Shuckle Kingdra Tyrogue Miltank
How many was that? 25? We need a 7 and a 9 to tie with Psyduck and Growlithe. That's 125 possibilities. |
|
 |
| mathgrant |
Posted: Tue Mar 19, 2002 3:35 pm Post subject: -32 |
|
Well duh! I'm a Pokemon fan, and I'm The Hint Fairy, so The Hint Fairy is a Pokemon fan! 
------------------ Sometimes life gives you a deck without any aces. Deal with it. |
|
 |
| Chuck |
Posted: Tue Mar 19, 2002 3:29 pm Post subject: -33 |
|
| Factoring the numbers isn't necessary. I don't know if it will help. Doing so might cause you to notice things, I suppose. |
|
 |
| ctrlaltdel |
Posted: Tue Mar 19, 2002 12:20 pm Post subject: -34 |
|
| im still clueless, im messing around with dividing each number with all of its primes... am i on the right track even...? |
|
 |
| Jen Aside |
Posted: Tue Mar 19, 2002 11:12 am Post subject: -35 |
|
Considering:
Dunsparce, Cyndaquil, Dragonite, Poliwrath, and Growlithe all have nine letters each,
and
Kabutops, Clefairy, Articuno, Quagsire, Sunflora, Cloyster, Squirtle, and Slowking all have eight letters each,
and
any two pairs of Pokémon listed above share at least one letter,
and
there are no other Pokémon with more than seven letters in its name (non-repeating),
Growlithe and Psyduck have the most non-repeating letters between them of any pair (although other pairs might tie--I haven't bothered to check).
Is the Hint Fairy a Pokémon fan, or is it just a ready puzzle source?
...this seems unrelated, but only invisibly so  |
|
 |
| The Hint Fairy |
Posted: Mon Mar 18, 2002 3:01 pm Post subject: -36 |
|
| It does in this case. Can you find the logic behind thestarters for that sequence? |
|
 |
| cubestudent |
Posted: Mon Mar 18, 2002 9:29 am Post subject: -37 |
|
my mind has slowed too far with age.
i think if i were 14, i could get it too. 
remarkable puzzle, chuck |
|
 |
| ctrlaltdel |
Posted: Mon Mar 18, 2002 9:12 am Post subject: -38 |
|
8100 ->modChuck-> 2916 = 0???
insane...
does the fact that 8100 = 81x4x5^2 and 2916 = 81x4x3^2 (or 3^6x4) mean anything?
[This message has been edited by ctrlaltdel (edited 03-18-2002 04:18 AM).] |
|
 |