Random Generator: Difference between revisions

From TetrisWiki
Jump to navigation Jump to search
No edit summary
*>Jujubo
reverted to revision by moi
Line 1: Line 1:
[http://eighty-8088.blogspot.com buying propecia] [http://lavender-dove.blogspot.com california casino indian] [http://the-murderer.blogspot.com barona casino] [http://brat-nikodim.blogspot.com cheap delivered find fl phentermine] [http://ratonhteroad.blogspot.com casino guide] [http://zanuda-juja.blogspot.com casino microgaming online] [http://psmorrison.blogspot.com snorting valium] [http://ivoyt.blogspot.com propecia hair] [http://konstantine01.blogspot.com casino royale] [http://lawrencegillies.blogspot.com ameristar casino] [http://arketon24.blogspot.com casino hotel] [http://hand-stained-xx.blogspot.com casino game] [http://iehf.blogspot.com book casino sport] [http://jeanniexong.blogspot.com casino online tournament] [http://azn-chickadee.blogspot.com buy link onlinehtml xanax xanax00procom] [http://thesam118.blogspot.com casino horseshoe] [http://raezey.blogspot.com bonus casino code online] [http://jimmini.blogspot.com cheap phentermine yellow] [http://jokerupot.blogspot.com casino free game online slot] [http://silly-n.blogspot.com best bonus casino online] [http://asaia.blogspot.com casino palm] [http://normanburke.blogspot.com casino fallsview] [http://s1xbucksamonkey.blogspot.com casino english harbour online] [http://moody-immortal2.blogspot.com buy link online traxto xanax] [http://murdersoul.blogspot.com casino hard rock] [http://enchanted1312.blogspot.com injecting valium] [http://foedu-de-solnil.blogspot.com propecia effects] [http://gorillashaman.blogspot.com ativan drug lorazepam] [http://hclt-events.blogspot.com cheap 37 5 phentermine] [http://vegetnuks.blogspot.com picture propecia result] [http://angelcakez.blogspot.com cheap herbal phentermine] [http://dogzilla30.blogspot.com valium vs vicodin] [http://paperroom.blogspot.com casino gaming online] [http://sakura-watanuki.blogspot.com 37 5mg cheap phentermine] [http://pearlibuttons.blogspot.com buy cheap com h1 phentermine phentermine ripway] [http://jesuisleflet.blogspot.com casino game online poker] [http://falling-anvil.blogspot.com casino gambling line online] [http://seranton.blogspot.com propecia side effects] [http://pashkak0marov.blogspot.com casino riverside] [http://piggy-soldier.blogspot.com borgata casino] [http://techinpet.blogspot.com casino fun online play] [http://xitokiry.blogspot.com casino gambling guide online] [http://kalbongzig64.blogspot.com casino hotel palm] [http://peacedoorball.blogspot.com valium without prescription] [http://meadelante.blogspot.com order propecia online] [http://callsecurity.blogspot.com order cheap phentermine online overnite] [http://solacemysoul.blogspot.com phentermine cheap order by] [http://jessiethebestie.blogspot.com valium iv] [http://soulswallo.blogspot.com casino online slot] [http://jon-a-ross.blogspot.com casino com online] [http://phoenixbrngbrt.blogspot.com bonus casino] [http://pyrebi.blogspot.com casino flash online] [http://winter-gossamer.blogspot.com casino free online slot] [http://aurney.blogspot.com get phentermine cheap] [http://mutantalias.blogspot.com valium use] [http://zebbiejohnson.blogspot.com cheap phentermine pill] [http://mrwolfy49.blogspot.com cheap order phentermine prescription] [http://bear-terry.blogspot.com casino gaming] [http://jeffrorocks21.blogspot.com cheap cod extremely phentermine] [http://roxyobsessed7.blogspot.com buy link nowcom online xanax] [http://pastmagic.blogspot.com casino greektown] [http://smackinghotlips.blogspot.com buy link online sitekreatorcom xanax] [http://lilhaq.blogspot.com casino chip] [http://ekviceaia.blogspot.com indication of valium] [http://machi-neko.blogspot.com cheap prescription diet pill phentermine] [http://ryu-jounetsu.blogspot.com canadian casino online] [http://chuvak-org.blogspot.com valium dosage] [http://sahezzz.blogspot.com casino choctaw] [http://prettyhair24-7.blogspot.com propecia study] [http://ouglova.blogspot.com valium half life] [http://woolygrrl.blogspot.com valium side effects] [http://missensign.blogspot.com buy link onlinefansto xanax] [http://anw66.blogspot.com buy doctor xanax] [http://oltcha.blogspot.com bingo casino free game online play] [http://dirty-ru-lenta.blogspot.com propecia online] [http://codigodor.blogspot.com brand buy online xanax] [http://spirit-of-llama.blogspot.com cheap phentermine without rx] [http://sijalik.blogspot.com casino free online play] [http://rm-ast-pants.blogspot.com buy online upjohn xanax] [http://nekostar3.blogspot.com ativan anxiety] [http://sweetpniangel87.blogspot.com long term side effects of propecia] [http://yell0w-n1njaman.blogspot.com casino hotel las vegas] [http://jewels667.blogspot.com propecia impotence] [http://your-starry-sky.blogspot.com casino new york] [http://skvonk.blogspot.com ativan birth defect] [http://pyr0lys1s.blogspot.com cheap phentermine no prior prescription] [http://firejedi.blogspot.com cheapest cheap phentermine] [http://mywaybackwhen.blogspot.com casino deposit new no online] [http://bakamandy.blogspot.com ativan dose lethal] [http://hwantiig-yg.blogspot.com buy xanax legally] [http://laynamarya.blogspot.com ativan and alcohol] [http://xjenhx.blogspot.com viagra medication prescription levitra cialis propecia] [http://manka-kapak.blogspot.com casino craps online] [http://comradealtmer.blogspot.com casino thunder valley] [http://mafy69.blogspot.com casino online play] [http://danga4ka.blogspot.com casino online wagering] [http://bostvndaoe.blogspot.com ativan forum] [http://ridiaulctions.blogspot.com buy overseas xanax] [http://guess76.blogspot.com casino in las vegas] [http://gatx10258.blogspot.com casino links] [http://femdog.blogspot.com casino on net] [http://nord9maedchen73.blogspot.com ativan for depression] [http://chic-ks.blogspot.com casino golden online palace] [http://apesapoppin.blogspot.com canada cheap phentermine] [http://lola-providence.blogspot.com ativan addiction] [http://lilo-n.blogspot.com buy xanax cod] [http://redfxo.blogspot.com propecia before and after] [http://telnushka.blogspot.com buy cheap lowest phentermine price] [http://tart0938.blogspot.com casino grand online] [http://azu-erlove.blogspot.com casino free game online] [http://yasashisa.blogspot.com valium online] [http://xboct13.blogspot.com ativan attack medication online order panic] [http://the-craftman.blogspot.com buy propecia online] [http://yoshi-in-black.blogspot.com how propecia works] [http://kulhain.blogspot.com buy insurance medication without xanax] [http://kabierac.blogspot.com casino eagle soaring] [http://sand-stars.blogspot.com valium sale] [http://vands88.blogspot.com casino gambling internet online] [http://jupka97.blogspot.com cheap online order phentermine] [http://thedailywash.blogspot.com online casino game] [http://justanotherebel.blogspot.com cheap phentermine no prescription needed] [http://hitm4n.blogspot.com buy buy target xanax xanax] [http://ktbug1373.blogspot.com casino vegas] [http://annugel--h.blogspot.com propecia result] [http://fragolla.blogspot.com casino deposit no] [http://ejreoonster.blogspot.com propecia and woman] [http://gololed.blogspot.com buy link member spacesmsncom xanax] [http://mama-rachelbeth.blogspot.com casino slot] [http://mothrinventor.blogspot.com online prescription propecia] [http://rappture.blogspot.com baldness hair lasercomb loss propecia] [http://llillith.blogspot.com casino news online] [http://tayamarn.blogspot.com casino commerce] [http://angry-sister.blogspot.com casino payout] [http://cetki.blogspot.com addicted to ativan] [http://fau75.blogspot.com casino hard rock seminole] [http://un-fois.blogspot.com casino pechanga] [http://suzulan.blogspot.com propecia sale] [http://nixve.blogspot.com propecia picture] [http://lettersof-love.blogspot.com propecia cost] [http://nmagiietending.blogspot.com buy xanax online pay by check] [http://xelby0.blogspot.com casino fortunelounge online] [http://estarcollector.blogspot.com 2mg buy generic xanax] [http://leadora.blogspot.com buy xanax overnight] [http://bekahboo3.blogspot.com propecia work] [http://tsvibak.blogspot.com casino online poker] [http://cloudydayshadow.blogspot.com casino hotel paris] [http://deadums.blogspot.com propecia body building] [http://mkiss47346.blogspot.com advice casino online] [http://foecedh3artbrat.blogspot.com cheap phentermine no prescription required] [http://fllood.blogspot.com propecia vs rogaine] [http://eudrayv.blogspot.com picture pill valium] [http://laus-rmore.blogspot.com casino forum online] [http://berrycow.blogspot.com ativan ativan buy cheap online] [http://amidnitesunset.blogspot.com valium versus xanax] [http://melsner.blogspot.com ativan benefit] [http://lilett.blogspot.com casino game online play] [http://magneticwoman88.blogspot.com cheap est phentermine] [http://touya012.blogspot.com casino directory gambling online] [http://l1ttleblacky.blogspot.com casino internet] [http://leeticarus.blogspot.com what does valium do] [http://yume-taira.blogspot.com ativan and pregnancy] [http://dlaners.blogspot.com 2005com buy link onlinebuy xanax] [http://4erni-pes.blogspot.com casino download free online] [http://germani4.blogspot.com blogspirit cheap com online phentermine] [http://leopard-lady.blogspot.com buy cheap link onlinecom xanax xanax] [http://lolabear1121.blogspot.com does effects propecia side work] [http://ceasius.blogspot.com capri casino isle] [http://atashi-tada.blogspot.com casino gambling] [http://dissected-voice.blogspot.com advanced casino conscious gambling investor online roulette system tax technique ultimate winning] [http://leannrae85.blogspot.com ativan effects] [http://his13lessings.blogspot.com hair loss propecia] [http://uncledeadly83.blogspot.com best price for propecia] [http://courtinfroggie.blogspot.com ativan combining neurontin tramadol] [http://amyjkb.blogspot.com get propecia] [http://impossiblemale61.blogspot.com cache casino creek] [http://simtershrapnel.blogspot.com order propecia] [http://uraharaben1hime.blogspot.com cheap phentermine table] [http://114418523.blogspot.com casino guide online] [http://huapatossu.blogspot.com casino online review] [http://7982257596.blogspot.com california casino] [http://nostawnevets53.blogspot.com casino free] [http://kleinerachel.blogspot.com valium ativan] [http://cmubroadway.blogspot.com casino poker] [http://evil-gummiworm.blogspot.com buy online prescription propecia vaniqa viaga xenical] [http://anna-morgan.blogspot.com propecia patent] [http://unseenoyster.blogspot.com propecia effectiveness] [http://brokenbond.blogspot.com cheap phentermine online] [http://princesskariboo.blogspot.com propecia rogaine] [http://im-really-cool.blogspot.com propecia patent expiration] [http://dashulya.blogspot.com casino casino] [http://0x009.blogspot.com casino online top] [http://lovejuliet3.blogspot.com casino winner] [http://khawkslaxfan51.blogspot.com propecia hair loss treatment] [http://amino-vera.blogspot.com generic propecia canada] [http://brightflashes.blogspot.com casino wager] [http://theillegalcause.blogspot.com loss propecia] [http://sinbiom.blogspot.com casino las vegas] [http://azur3skye.blogspot.com best casino] [http://mayphyoe.blogspot.com buy no online prescription xanax] [http://kaizokukitsune.blogspot.com propecia alternative] The '''Random Generator''' is BPS's name for the algorithm used to generate the sequence of [[tetromino]]es in ''Tetris'' brand [[game]]s that follow the [[Tetris Guideline]].
The '''Random Generator''' is BPS's name for the algorithm used to generate the sequence of [[tetromino]]es in ''Tetris'' brand [[game]]s that follow the [[Tetris Guideline]].


Random Generator generates a sequence of all seven one-sided tetrominoes (I, J, L, O, S, T, Z) permuted randomly, as if they were drawn from a bag. Then it deals all seven tetrominoes to the piece sequence before generating another bag. There are [http://en.wikipedia.org/wiki/Factorial 7!], or 5,040, permutations of seven elements, and it is believed that ''Tetris'' assigns a nearly equal probability to each of these, making it much less likely that the player will get an obscenely long run without a desired tetromino. It can produce a maximum of 12 tetrominoes between one I and the next I, and a run of S and Z tetrominoes is limited to a maximum of 4.
Random Generator generates a sequence of all seven one-sided tetrominoes (I, J, L, O, S, T, Z) permuted randomly, as if they were drawn from a bag. Then it deals all seven tetrominoes to the piece sequence before generating another bag. There are [http://en.wikipedia.org/wiki/Factorial 7!], or 5,040, permutations of seven elements, and it is believed that ''Tetris'' assigns a nearly equal probability to each of these, making it much less likely that the player will get an obscenely long run without a desired tetromino. It can produce a maximum of 12 tetrominoes between one I and the next I, and a run of S and Z tetrominoes is limited to a maximum of 4.

Revision as of 07:03, 10 May 2007

The Random Generator is BPS's name for the algorithm used to generate the sequence of tetrominoes in Tetris brand games that follow the Tetris Guideline.

Random Generator generates a sequence of all seven one-sided tetrominoes (I, J, L, O, S, T, Z) permuted randomly, as if they were drawn from a bag. Then it deals all seven tetrominoes to the piece sequence before generating another bag. There are 7!, or 5,040, permutations of seven elements, and it is believed that Tetris assigns a nearly equal probability to each of these, making it much less likely that the player will get an obscenely long run without a desired tetromino. It can produce a maximum of 12 tetrominoes between one I and the next I, and a run of S and Z tetrominoes is limited to a maximum of 4. Exception: In Random Generator as implemented in Tetris The Grand Master Ace, the first piece of the first bag is always I, J, L, or T, just as in the traditional TGM randomizer.

Despite the generic sounding name, presumed employees of BPS are known to treat the term "Random Generator" as a unique name, referring only to this particular algorithm.

Snake sequences

There are two "snake" tetrominoes, called S and Z. As only two snakes will be in a given bag, a sequence of more than two snakes must cross the "seam" between bags. The probability of the next two bags having a sequence of four consecutive snakes, the maximum possible, is 1/(7*6*7*6) for SZSZ and likewise for SZZS, ZSSZ, and ZSZS, for a total of 1/441. But the probability of these being your three next pieces are 1/441 times the probability of being at position 6 in a bag, so the probability of the next four pieces being SZSZ are 1 in 3087.

Define a "2|1 combo" as chosen sixth and seventh pieces in one bag and first piece in next bag, and a "1|2 combo" as chosen seventh piece in one bag and first and second pieces in next bag. Define a "snake" as the S tetromino or the Z tetromino.

The probability of any 2|1 combo (e.g. SZ|Z) is 1/(7*6*7) = 1/294. There are four different 2|1 combos containing all snakes (SZ|Z, SZ|S, ZS|Z, and ZS|S), so the probability of getting a 3-snake 2|1 in your next two bags is 4/294. But the probability of being at the sixth piece in a bag, where your next three pieces are a 2|1, is 1/7, making the probability of being at a three-snake 2|1 equal to 4/(294*7) = 2/1029. By symmetry, the 1|2 probabilities are exactly the same: 2/1029. So for Random Generator, this makes a 1 in 257 chance of your next three tetrominoes being snakes.

To do: compare with odds for TGM randomizer

References

See also