
sudoku

sudoku (; modata sankhya sthalam anie pilustaaru) anedi tarka-aadhaarita, samyojita sankhya-placement puzzle. classic sudokulo, 9x9 gridnu ankelatho nimpadam lakshyam, tadwara prati kaalam, prati varusa mariyu gridnu roopondinche tommidi 3x3 sub gridlalo prati okkati ("baakslu", "blocks" ledhaa "regionlu" anie kooda pilustaaru) 1 nundi 9 varaku anni ankelanu kaligi untaayi. puzzle setter paakshikamgaa puurti chesina gridnu andistundi, idhi baga-position gala puzzle kosam oke parishkaram untundi.
french vaartaapatrikalu 19va sataabdamloo sudoku puzzles yokka vaividhyaalanu pradarsinchaayi, mariyu eee puzzle 1979 nundi puzzle pustakaalalo paeru sankhya sthaanamlo kanipinchindi. ayithe, aadhunika sudoku 1986loe japanese puzzle company nikoli "oke sankhya" anie ardham vachhe sudoku paerutoe prachurinchinappudu matrame vistruta prajaadarana pondadam praarambhinchindi. idhi modata a u loe kanipinchindi.ess. vaartaapatrika, aapai 2004loe "dhi times" (london), pratyaekamaina pajilsnu vaegamgaa utpatti cheyadaaniki computer prograamnu roopondinchina wayne gouled prayatnaalaku dhanyavaadaalu.
charitra.
puurveekulu.
19va sataabdam chivaralo french puzzle settarlu magic squarela nundi sankhyalanu tolaginchadamlo prayogaalu cheyadam praarambhinchinappudu vaartaapatrikallo sankhya puzzles kanipinchaayi. "leey seekal", oka paris dinapatrika, 1892 november 19naa 3x3 upavargaalato paakshikamgaa puurtayina 9x9 magic squarenu prachurinchindi. idhi sudoku kaadu endukante idhi rendu ankela sankhyalanu kaligi undhi mariyu parishkarinchadaaniki tarkam kante ankaganitam avasaram, conny idhi keelaka lakshanaalanu panchukundih prati varusa, kaalam mariyu upavargam oke sankhyaku jodinchabaddaayi.
juulai 6,1895naa, "lae seekal" pratyarthi "laa france", pajilnu meruguparichi, adhi daadaapu aadhunika sudokuga maari daaniki ('paisaachika magic square') anie paeru pettaru. idhi 9x9 magic square pajilnu saralikrutam chesindi, tadwara prati varusa, niluvu varusa mariyu virigina vikarnaalu 1-9 sankhyalanu matrame kaligi untaayi, conny upavargaalanu gurtinchaledu. avi gurtinchabadanivi ayinappatikee, prati 3x3 upavargamlo vaastavaaniki 1-9 sankhyalu undevi, mariyu virigina vikarnaalapai adanapu parimiti oke parishkaaraaniki daariteesindi.
eee varapu puzzles daadaapu oka dasaabdam paatu "ell 'eko dii paris" vanti french vaartaapatrikalalo oka lakshanamgaa undevi, conny modati prapancha yuddham samayamlo adrusyamayyaayi.
aadhunika sudoku.
aadhunika sudokunu bahusha indianaloni connersvilleku chendina 74 yella retired architect mariyu freelance puzzle constructor ayina howard garnes anamakamga roopondinchaaru mariyu 1979loe dell myagajainlu number placega prachurinchaayi (aadhunika sudokuku mottamodati udaaharanalu). dell pensil puzzles mariyu vard games" samasyalalo anke sthaanaanni kaligi unna mariyu laeni samasyalaku ellappuduu dhooramgaa unde contributorla jaabitaalo garnes paeru ellappuduu undedi. thana srushtini prapanchavyaapta drugvishayamgaa chuse avakaasam rakamunde 1989loe ayana maraninchaaru. paina jabita cheyabadina french vaartaapatrikalalo dheni gurinchi ayina garnes kuu teluso ledho aspashtamgaa undhi.
nikoli puzzle company adhyakshudu japaanlo 1984 eprillo "nelawari nicholist" anae patrikalo eee pajilnu pravesapettaaru, dheenini "ankelu tappanisarigaa oke undaali" ledhaa "ankelu oka sanghatanaku parimitam cheyabaddaayi" (japanese bhaashalo, "dokushin" antey "avivaahita vyakti") anie anuvadinchavacchu. eee paerunu taruvaata "sudoku" (мите) gaa sankshipteekarinchaaru, mishrama padaala yokka modati kanjeeni matrame teesukoni chinna samskarananu roopondinchaaru. "sudoku" anedi japaanlo namodaina trademark mariyu pajilnu saadhaaranamgaa rendu padaala sankshiptata ledhaa, marinta anadhikarikamga, anie pilustaaru. 1986loe, nikoli rendu aavishkaranalanu pravesapettindih icchina vaati sankhya 32 kante ekkuva undakunda parimitam cheyabadindi, mariyu puzzles "cemetrical" gaa marai (antey icchinavi rotationalga cemetric kanaalalo pampinhee cheyabaddaayi). idhi ippudu "asahi shimbun" vanti pradhana sravanti japanese patrikalalo prachurinchabadindi.
japan velupala vyaapinchindi.
1997loe, hankong nyaayamuurti wayne gouled oka japanese pustaka dukaanamloo paakshikamgaa puurtayina pajilnu chuusaaru. aaru samvatsaraalalo, athanu pratyaekamaina pajilsnu vaegamgaa utpatti cheyadaaniki oka computer prograamnu abhivruddhi chesaadu. british vaartaapatrikalu padabandhaalu mariyu itara pajilsnu prachurinchadamlo sudeergha charitra undani telusukuni, athanu sudokunu britainlo "dhi times" gaa pracharam chesaadu, idhi november 12,2004naa praarambhinchabadindi (dheenini suu doku anie pilustaaru). suu dokuku sambandhinchi "dhi times" kuu raasina modati lekha marusati roeju november 13naa brentfordku chendina eoin payne nundi prachurinchabadindi, eee puzzle kaaranamgaa athanu tube meeda aagipoyaadani firyadu chesaaru. sudoku puzzles saadhaarana lakshanamgaa itara vaartaapatrikalaku vaegamgaa vyaapinchayi.
britainlo sudoku saapeksha aspashtata nundi jaateeya vaartaapatrikalalo modati paejeeki vaegamgaa peragadam medialo vyakhyanam mariyu anukarananu aakarshinchindi ("guardian" zii2 vibhagam prati pageelo sudoku gridto modati vaartaapatrika anubandhamgaa pracharam chesinappudu). sulabhamaina mariyu kashtamaina puzzles yokka vibhina manasika aakarshanhalanu gurtistuu, "dhi times" juun 20,2005naa rendintinee prakka prakkaga pravesapettindi. juulai 2005 nundi, chhaanel 4 vaari teletext sevalo rojuvaaree sudoku aatanu cherchindi. augustu 2naa, bbc yokka programme guide "radeo times" loe 16x16 gridto varapu suupar sudoku pradarsinchabadindi.
united stateslo, wayne gouled raasina sudoku pajilnu prachurinchina modati vaartaapatrika 2004loe "dhi conway dialy sunn" (nyuu hampshire).
prapanchamlooni mottamodati pratyaksha tv sudoku show, "sudoku live", juulai 1,2005naa skye vanlo modatisaari prasaram cheyabadina puzzle pootii. dheenini karol orderman samarpinchaaru. bhougolika praantaalaku praatinidhyam vahistunna tommidi mandhi aatagaallato kuudina tommidi jatlu (prati jattulo oka pramukhuditho) oka pajilnu parishkarinchadaaniki pootii paddayi. prati aatagadu naalugu kanaalaku samaadhaanaalaku anugunamgaa sankhyalanu namodu cheyadaaniki chethitho pattukune parikaranni kaligi undevaaru. inglaandlooni vinchelseeki chendina phil collin syries grand prize vijaetagaa nilichaadu, varusa aatalalo £23,000 kante ekkuva sampaadinchaadu. intlo prekshakulu oka pratyeka paraspara pootiiloo unnaaru, dheenini cheshairku chendina hannah vidhee geluchukunnaru.
taruvaata 2005loe, bbc "sudo-kyuu" anae game shonu praarambhinchindi, idhi sudokunu saadhaarana ghnaanamtho militam chesindi. ayithe, idhi 4x4 mariyu 6x6 puzzles matrame upayoginchindi. 2007loe pradarsana mugiselopu naalugu seasonlu nirminchabaddaayi.
2006loe, oka sudoku website paatala rachayita peater levy yokka sudoku nivaali patanu prachurinchindi, conny bhaarii traaphik kaaranamgaa ventane empi3 failnu tolaginchaalsi vachindi. british mariyu australian radeo eee patanu enchukundi, idhi british nirmita sudoku documentarylo pradarsinchabadutundi. japan rayabara karyalayam kooda eee patanu avaarduku nominate chesindi, eee patanu singlega vidudala cheyadaaniki japaanlo soneetho levy charchalu jaripaaru.
pisilu, websitelu mariyu mobile phonelalo sudoku software baga prachuryam pondindi. idhi linux yokka aneka pampinheelatho vastundi. nintendo ds, playstation portable, game baay advance, exbox live arcade, nook ii-book reader, kindle fair tablet, aneka ipod namuunaalu mariyu iphone vanti veediyo game consollalo kooda eee software vidudala cheyabadindi. aneka nokia phonelalo sudoku kooda undedi. nijaaniki, aapil ink tarvaata kevalam rendu vaaralu. juulai 11,2008naa daani itunes storelo online yap storenu praarambhinchindi, ippatike daadaapu 30 ververu sudoku games unnaayi, veetini vividha software developerlu, mukhyamgaa iphone mariyu ipod touch kosam roopondinchaaru. sudoku kaligi unna atyanta prajaadarana pondina veediyo gamelalo okati. vimarsanaatmakamgaa mariyu vaanijyaparamgaa manchi aadarana pondina idhi, daani sudoku amaluku pratyeka prasamsalanu andukundi mariyu prapanchavyaaptamgaa 8 millionlaku paiga kaapeelu ammudaindi. daani prajaadarana kaaranamgaa, nintendo "medadu vayassu 2" anae paerutoe rendava "medadu yugam" aatanu roopondinchindi, indulo 100 kii paiga kotta sudoku puzzles mariyu itara karyakalapalu unnaayi.
juun 2008loe, pannendu mandhi nyaayamuurtulaloo naluguru ledhaa aiduguru sakshyalanu vinadaniki badulugaa sudoku aadutunnaarani kanugonappudu $1 million kante ekkuva kharchutho australian drugs-sambandhita jurie vichaarana raddu cheyabadindi.
vaividhyaalu.
grid parimaanaalu ledhaa praanta aakaaraala vaividhyaalu.
3x3 praantaalatoo kuudina 9x9 grid chaalaa saadhaaranamainappatikii, aneka itara vaividhyaalu unnaayi. namuunaa puzzles 2x2 praantaalatoo 4x4 gridlu kaavacchu; "pentomino" praantaalatoo 5x5 gridlu laagi-5 paerutoe prachurinchabaddaayi; prapancha puzzle chhampiyanshiplo 2x3 praantaalatoo 6x6 grid mariyu aaru "heptomino" praantaalu mariyu oka vidadeeyabadina praanthamtho 7x7 grid unnaayi. pedda gridlu kooda saadhyame, ledhaa vividha kramarahita akaaraalu ("suguru", "tectonic", "jigsa sudoku" modalaina vividha paerlatoe).). "times" "4x3 chadarapu 12 praantaalatoo 12x12 grid" "dodeca sudoku" "nuu andistundi". dell patrikalu kramam tappakunda 16x16 "number plays challenger" pajilsnu prachuristaayi (1-16 ledhaa a-p aksharaalanu upayoginchi). nikoli 25x25 "sudoku anae pedda" behemoths "nuu andistundi. sudoku-jilla anie piluvabade 100x100-grid puzzle 2010loe prachurinchabadindi.
minee sudoku.
minee sudoku" paerutoe, 3x2 praantaalatoo kuudina 6x6 roopaantaram american vaartaapatrika "usa tude" mariyu itara pradaesaalaloo kanipistundi. vastuvu praamaanika sudoku maadirigaane untundi, conny puzzle 1 nundi 6 varaku sankhyalanu matrame upayogistundi. puzzles yokka yuva parishkaarakartalaku idhe vidhamaina roopam, "juuniyar sudoku" anie piluvabadutundi, idhi "dialy mail" yokka konni editionla vanti konni vaartaapatrikalalo kanipinchindi.
adanapu parimitulanu vidhinchadam.
maroka saadhaarana roopaantaram emitante, saadhaarana varusa, niluvu varusa mariyu pette avasaralaku minchina sankhyala sthaanampai parimitulanu jodinchadam. tarachugaa, parimiti adanapu "parimaanam" roopaanni teesukuntundi; grid yokka pradhana vikarnaalalo unna sankhyalu kooda pratyaekamainavigaa undaalsina avasaram chaalaa saadhaaranam. paina perkonna "number plays challenger" puzzles annee eee rakamainavi, alaage "dialy mail" looni sudoku x puzzles kooda 6x6 gridlanu upayogistaayi.
killer sudoku.
killer sudoku roopaantaram sudoku mariyu kakuro yokka amsaalanu militam chestundi.
vividha chihnalu.
praamaanika sudoku ankaganitaanni kaligi undadu kabatti, 1 nundi 9 varaku unna ankelanu rekhaganita akaaraalu, roman sankhyalu (udhaa.zii. "quadratum latinum", latin puzzle magazine "hebdomada anigmatum" loe prachurinchabadindi) ledhaa aksharalu, mariyu etuvanti kriyaatmaka vyatyaasam ledhu.
aksharaalanu upayoginchinappudu, pajilnu konnisaarlu vardoku anie pilustaaru. tv guide magazine" vanti konni vaividhyaalalo, okasari parishkarinchabadina pradhana vikarna, varusa ledhaa niluvu varusa venta oka padha patanam untundi; mundugaane padaanni nirnayinchadam anedi parishkara sahayamga chudavachu. oka vardoku pradhana padam kakunda itara padaalanu kaligi undavacchu.
hyper sudoku/vindoku.
hyper sudoku ledhaa vindoku 3x3 praantaalatoo classic 9x9 gridnu upayogistundi, conny 1-9 sankhyalu khachitamgaa okasari kanipinchaalsina naalugu adanapu antargata 3x3 praantaalanu nirvachistundi. dheenini "peater ritmister" kanugonnadu mariyu october 2005loe dutch vaartaapatrika "nrc handelsblad" loe modatisaari prachurinchaadu, mariyu april 2007 nundi "international newyork times" (international herold tribune) loe rojuvaareegaa prachurinchaadu. dheenini modatisaarigaa hyper sudoku anie pilicharu, idhi will shortz yokka ishtamaina sudoku vaividhyaalalo (fibravari 2006) undhi. grid yokka naalugu antargata praantaalu needatho unnanduna, idhi glazing baarlatho kuudina kitikeeni pooli untundi kabatti dheenini vindoku anie kooda pilustaaru.
janta sudoku.
janta sudokulo rendu saadhaarana gridlu 3x3 pettenu panchukuntaayi. ativyaapti chendagala aneka rakaala gridlalo idhi okati. prati okka grid kosam niyamaalu saadhaarana sudokulo maadirigaane untaayi, conny ativyaapti chendutunna vibhaagamlo ankelu prati sagam panchukoobadataayi. konni kuurpulaloo okkokka gridnu matrame parishkarinchalemu-prati okka grid kaneesam paakshikamgaa parishkarinchabadina tarvaata matrame puurti parishkaram saadhyamavutundi.
itara rakalu.
rendu kante ekkuva gridla nundi nirminchina puzzles kooda saadhaaranam. muula praantaalalo "quinkanks" aakaaramlo ativyaapti chendhe aidu 9x9 gridlanu japaanlo "gattay" 5 (aidu vileenam) sudoku anie pilustaaru. dhi times", "dhi age", mariyu "dhi sidney marning herold" loe, eee puzzle roopaanni samuray sudoku anie pilustaaru. "dhi baltimore sunn" mariyu "torranto starr" tama aadivaaram sanchikalo eee roopaantaram yokka puzzle (hye five anae paerutoe) nuu prachurinchaayi. tarachugaa, ativyaapti chendutunna praantaalalo ivvabadanivi unchabadavu. ativyaapti chendadaaniki badulugaa, varusa gridlu kooda prachurinchabadataayi, gridloni nirdishta pradaesaalaloo viluvalanu itarulaku badilee cheyavalasi untundi.
sudoku yokka tabletop versionnu praamaanika 81-kaardula sett dectho aadavacchu (sett game chudandi). tri-miteeya sudoku puzzle mae 2005loe "dhi dialy telegraph" loe prachurinchabadindi. "dhi times" treadoku paerutoe trimiteeya samskarananu kooda prachuristundi. alaage, rubics cube yokka sudoku version kuu sudoku cube anie paeru pettaru.
aneka itara rakalu abhivruddhi cheyabaddaayi. seethaakokachiluka, windmill ledhaa puvvu vanti 9x9 gridla ativyaapti amarikalo konni ververu akaaraalu. itarulu gridnu parishkarinchadaaniki tarkaanni maarustaaru. veetilo okati "sudoku kante goppadi". indulo, rendu prakkane unna sankhyala ummadi rekhapai (>) kante ekkuva ledhaa (<) kante takkuva 12 chihnalatho sudoku yokka 3x3 grid ivvabadutundi. parishkaram yokka tarkampai maroka roopaantaram "aspashtamaina sudoku", dheenilo tommidi 9x9 sudoku gridlu okkokkati 3x3 shrenilo unchabadataayi. mottam tommidi puzzles yokka prati 3x3 gridloni center sell khaliga vadiliveyabadutundi mariyu yea sell puurti cheyakunda padava sudoku pajilnu yerparustundi; anduvalla, "teliyanidi". oka kotta roopaantaram sudoku slide exteriumlo sliding tyle pajiltho sudokuni militam chestundi. eee variantlo, anni postulu bharti cheyabadataayi. pajilnu parishkarinchadaaniki tails saraina sthaanaaniki taralinchabadataayi. eee roopaantaram power-aplu mariyu prachara vidhananni kaligi untundi. udaaharanalu mariyu itara vaividhyaalanu sudoku padakosam loe chudavachu.
sudoku yokka ganitam.
eee vibhagam jigsa, hyper mariyu itara vaividhyaalanu vismarinchi, classic sudokunu suuchistumdi.
puurtayina sudoku grid anedi oka pratyeka rakam latin chaturasram, idhi tommidi blacklalo (ledhaa 3x3 kanaala "pettelu") punaraavruta viluvalu laeni adanapu lakshanamtho untundi. blacklanu prastaavinchani modati-arder suutram latin chaturasraalaku chellubaatu ayithe matrame sudokuku chellubaatu avtundani niroopinchabadina taruvaata, rendu siddhaantaala madhya sambandham telustundi.
n" 2 × "n" 2 gridla "n" × "n" blacklapy sudoku pajilsnu parishkarinche saadhaarana samasya np-complete anie pilustaaru. bactracking mariyu dance linklu vanti aneka computer algorithamlu chaalaa 9x9 pajilsnu samarthavantamgaa parishkarinchagalavu, conny "n" perige koddi combinatorial paeludu sambhavistundi, idhi sudocus lakshanaalaku parimitulanu srushtistundi, veetini "n" perige koddi nirminchavacchu, vislaeshimchavachchu mariyu parishkarinchavacchu. sudoku pajilnu graph colouring samasyaga vyakteekarinchavachhu. paakshikamgaa 9 rangulu icchina oka nirdishta graph yokka 9-rangulanu nirminchadame dheeni lakshyam.
saraina sudoku kosam saadhyamainanta takkuva aadharalu 17 (niroopitamaina janavari 2012, mariyu dhruveekarinchabadina september 2013). 17 aadhaaraalatho mottam 49,158 sudocus kanugonabaddayi, veetilo chaalaa varaku japanese autsaahikulachae kanugonabaddayi. 18 aadharalu mariyu bhramana samaruupata kaligina sudocus kanugonabaddayi, mariyu 18 aadhaaraalanu kaligi unna, dvimukha vikarna samaruupatanu pradarsinche mariyu svayamchaalakamgaa unde kaneesam oka sudoku undhi. oka pratyaekamaina parishkaranni andinchanappatikii andinchagala garishta sankhyalo aadharalu puurti grid (77) kante naalugu takkuvagaa untaayi; oka orthogonal deerghachaturasram yokka muulalanu aakraminche kanaala nundi rendu sankhyala rendu udaaharanalu tappipoyinatlayite, mariyu eee kanaalalo sarigga rendu kanaalu oka praantamloo unte, sankhyalanu rendu margallo ketayinchavacchu. idhi saadhaaranamgaa latin chaturasraalaku vartistundi kabatti, sudoku yokka chaalaa rakalu oke garishta sthaayini kaligi untaayi.
classic 9x9 sudoku solution gridla sankhya 6,670,903,752,021,072,936,960 ledhaa daani chuttoo untundi. idhi 9x9 latin chaturasraala sankhyaku daadaapu rettimpu. vividha itara grid parimaanaalu kooda lekkinchabaddaayi-vivaraala kosam pradhana kathanaanni chudandi. bhramanam, pratibimbam, prastaarana mariyu punahnaamakaranam vanti samaruupatalanu parigananaloki teesukunnappudu, tappanisarigaa vibhina parishkarala sankhya kevalam 5,472,730,538 gaa choopabadindi.
puurti sudoku gridla sankhya vale kakunda, kaneesa 9x9 sudoku puzzles sankhya khachitamgaa teliyadu. (parishkaram yokka pratyaekatanu kolpokunda yea kloonu tolaginchalenidi kaneesa puzzle.) ayithe, puzzle generatortho kalipi ganaanka paddhatulu sumaru (0.065% saapeksha lopamtho) 3.10 × 1037 kaneesa puzzles mariyu 2.55 × 1025 anavasaramgaa samaanamaina kaneesa puzzles unnayani chuupistunnaayi.