
sudoku parishkara algorithamlu

oka praamaanika sudoku puzzle 9x9 gridlo 81 kanaalanu kaligi untundi, ivi 3x3 kanaala 9 ververu pettelugaa upavibhajana cheyabaddaayi. prati kanam 1 nundi 9 varaku oka sankhyanu kaligi undavacchu, mariyu prati sankhya prati varusa, niluvu varusa mariyu pettelo okasari matrame sambhavistundi. sudoco sankhyalu ("aadharalu") kaligina konni kanaalatoe praarambhamavutundi, migilina kanaalanu parishkarinchadame lakshyam. saraina sudocus oke oka pratyaekamaina parishkaranni kaligi untaayi. kreedaakaarulu mariyu parisoedhakulu sudokasnu parishkarinchadaaniki, vaati lakshanaalanu adhyayanam cheyadaaniki mariyu aasaktikaramaina samaruupatalu ledhaa itara lakshanaalatoo kuudina vaatini kanugonadamtho sahaa kotta pajilsnu roopondinchadaaniki vistruta shreni paddhatulanu upayogistaaru.
sekanulo bhinnalalo 9x9 puzzles (= 9) nuu parishkarinche aneka computer algorithamlu unnaayi, conny perugutunna koddi combinatorial paeludu sambhavistundi, idhi sudocus lakshanaalaku parimitulanu srushtistundi, veetini nirminchavacchu, vislaeshimchavachchu mariyu perugudalato parishkarinchavacchu.
vividha ibbandula gurinchi prachurinchabadina chaalaa sudoku puzzles pensil mariyu kaagitapu paddhathulatho maanavulache parishkarinchadaginavigaa uddeshapoorvakamgaa nirminchabaddaayi, ayinappatikee oka pajilnu parishkarinchadaaniki trial und error avasarama anie tanikhi cheyakunda daanini nirminchadam gananaparamgaa sulabham. saadhaaranamgaa, puzzle tayaareedaarulu pajilnu saradaagaa parishkaristuu aatagaadini savaalu cheyadam madhya samatulyatanu saadhinchaalani lakshyamgaa pettukuntaaru. konni samuchita sanghaalu kooda saadhyamainanta kashtataramaina pajilsnu kanugonadaaniki prayatnistunnappatiki.
ganita mariyu ganana algorithamlu.
venakki taggadam.
kontamandi abhiruchi galavaaru byaak tracking algorithamnu upayoginchi sudoku pajilsnu parishkarinche computer prograamlanu abhivruddhi chesaaru, idhi oka rakamaina broot fores serch. bactracking anedi "depth-fust serch" ("vedalpu-modati shodhana" kuu viruddhamgaa), endukante idhi maroka saakhaku velle mundu oka saakhanu saadhyamayye parishkaaraaniki puurtigaa anveshistundi. sumaru 5.96 x 1126 tudi gridlu unnayani nirdhaarinchabadinappatiki, sudoku pajilsnu parishkarinchadaaniki broot fores algorithm oka aacharanaatmaka paddhati kaavacchu.
broot fores algorithm khaalii kanaalanu edho oka kramamlo sandarsistundi, varusaga ankelanu nimputundi ledhaa sankhya chellubaatu kaadani kanugonabadinappudu bactrack chestundi. kluptamgaa, oka programme modati sello "1" ankenu unchadam dwara mariyu adhi akkada undataaniki anumatinchabadindo ledho tanikhi cheyadam dwara oka pajilnu parishkaristundi. ullanghanalu lekapothe (varusa, niluvu varusa mariyu pette parimitulanu tanikhi cheyadam) appudu algorithm tadupari kanaaniki munduku velli aaa kanamlo "1" nuu unchutundi. ullanghanalanu tanikhi chesetappudu, "1" anumatinchabadadani kanugonte, viluva "2" kuu munduku untundi. 9 ankelalo edhee anumatinchani sell kanugonabadithe, algorithm aaa selnu khaliga vadili munupati sell kii tirigi velutundi. aaa kanamlooni viluva appudu okati penchabadutundi. chivari (81va) kanamlo anumatinchabadina viluva kanugonabade varaku idhi punaraavrutamavutundi.
eee paddhatitoe sudoku elaa parishkarinchabadutundo animation choopistundi. puzzle yokka aadharalu (erupu sankhyalu) sthiramgaa untaayi, ayithe algorithm prati parishkaram kaani kanaanni saadhyamaina parishkaaramtho pareekshistundi. ippatike unna samiti sudoku yokka parimitulanu neraverchaledani kanugonte algorithm gatamlo pareekshinchina anni viluvalanu vismarinchavacchani gamaninchandi.
eee paddhati yokka prayojanaaluh
eee paddhati yokka pratikuulata emitante, deductive paddhatula taruvaata roopondinchina algorithamlatho poliste parishkara samayam nemmadigaa undavacchu. atuvanti algorithanku saadhaaranamgaa 15,000 chakralu ledhaa 900,000 chakralu avasaramavutaayani oka programmer nivedinchaaru, prati chakram anedi sudoku kanaala gundaa kadulutunnappudu "pointer" yokka sthithilo maarpu.
backtracking kooda upayoginche vaerae vidhanam, praamaanika sudoku parishkaaramlo prati okka chihnaniki (viluva) pampinhee 46656 namoonaalalo okatigaa undaali anae vaastavam nundi teesukobadindi.
manueval sudokulo eee saanketikatanu parishkarinchadam anedi namuunaa poralanu ledhaa templetlanu upayoginchadam anie suuchistaaru mariyu chivari viluvalanu nimpadaaniki matrame parimitam cheyabadutundi.
saadhyamayye anni namuunaalatoe kuudina library programme praarambhamlo load kaavacchu ledhaa srushtinchabadavachu. appudu icchina prati chihnaniki icchina aadhaaraalaku anugunamgaa aaa namuunaalatoe filter cheyabadina samiti ketayinchabadutundi.
chivari dasalo, eee setla nundi vaastavamaina bactracking bhaagam, namuunaalanu oka anumatinchadagina kalayikanu taakenta varaku sangharshana laeni vidhamgaa kalapadaniki ledhaa ativyaapti cheyadaaniki prayatnistaaru.
bitt vektarlanu upayogistunnappudu amalu cheyadam anoohyamgaa sulabham, endukante anni pareekshalaku varusalu mariyu niluvu varusalo edainaa samuuha punaraavruttulaku badulugaa bitt-vaareegaa taarkika karyakalapalu matrame avasaram.
vadapotha samayamlo namuunaala setlanu marinta tagginchadam dwara gananeeyamaina optimizationnu saadhinchavachchu. itara chihnalaku ippatike aamodinchabadina anni tagginchina setlaku vyatiraekamgaa prati prashnaarthakamaina namuunaanu pareekshinchadam dwara bactracking kosam migili unna mottam namuunaala sankhya baga taggutundi.
mariyu anni sudoku broot-fores paddhatula maadirigaane, konni 'sulabhamaina' viluvalanu nimpagala konni atyanta saralamaina parishkara paddhatulanu modata vartimpajeyadam dwara runn timenu chaalaa varaku tagginchavachhu.
bactracking vyatiraekamgaa panicheyadaaniki sudokunu nirminchavacchu. parishkaram eguva nundi diguvaku panichestundani (animationlo vale) bhaavisthe, konni aadharalu (17), eguva varusalo aadharalu laevu, mariyu modati varusaku "987654321" parishkaram undani bhaavisthe, algorithanku vyatiraekamgaa panichestundi. anduvalla programme pajilnu santruptipariche grid vaddaku rakamunde paiki "lekkinchadaaniki" gananeeyamaina samayanni vecchistundi. oka sandarbhamlo, oka programmer atuvanti sudoku (2008-yugapu computernu upayoginchinappatiki) parishkaaraaniki raavadaaniki broot fores programme aaru gantalu avasaramani kanugonnadu. atuvanti sudokunu eee rojullo samagra shodhana rotein mariyu vegavantamaina praasesarlanu upayoginchi 1 sekanu kante takkuva samayamlo parishkarinchavacchu.
yaadruchchika shodhana/optimisation paddhatulu.
yaadruchchika (yaadruchchika-aadhaarita) algorithamlanu upayoginchi sudokunu parishkarinchavacchu. eee paddhatiki oka udaaharana ilaa untundih
appudu puzzle kii parishkaram kanugonabadutundi. sankhyalanu maarchadaaniki vidhanalalo simulated annealing, genetic algorithm mariyu tabu serch unnaayi. yaadruchchika-aadhaarita algorithamlu vegavantamainavigaa prasiddi chendaayi, ayithe bahusha deductive technicla vale vaegamgaa undavu. ayithe, rendodaaniki bhinnamgaa, optimisation algorithamlaku samasyalu tarka-parishkaaraaniki avasaramainavi kaavu, ivi vistruta shreni samasyalanu parishkarinche saamarthyaanni istayi. graph colouring kosam roopondinchina algorithamlu sudokasto baga panicheestaayi. sudoco nii oka puurnaanka sarala prograaming samasyaga vyakteekarinchadam kooda saadhyame. ituvanti vidhanalu twaragaa oka parishkaaraaniki daggaravutaayi, aapai chivarana saakhalanu upayoginchavacchu. simplexes algorithm saraina sudokasnu parishkarinchagaladu, idhi sudoku chellubaatu kaleda (parishkaram ledhu) anie suuchistumdi. okati kante ekkuva parishkaralu (anukuulam kaani sudocus) unte simplexes algorithm saadhaaranamgaa konni chaturasraalalo okati kante ekkuva ankela pakshika mottaalatoe parishkaranni istundi. ayithe, saraina sudocus kosam, sarala prograaming presol techniclu matrame simplexes punaraavruttulu avasaram lekunda parishkaranni kanugontaayi. elpi samasyalanu tagginchadaaniki presol techniclu upayoginche taarkika niyamaalalo sudokasnu parishkarinchadaaniki maanavulu upayoginche taarkika niyamaala samiti unnaayi.
parimita prograaming.
sudoku kooda oka addanki santrupti samasyaga roopondinchavacchu. sudoku yaz eah constraint problem" anae thana paperlo, helmut simonis, namuunaaku vartimpajeyagala mariyu samasyalanu parishkarinchagala parimitula aadhaaramgaa aneka "reasoning algarithms" nuu vivarinchaadu. konni addankula parishkaralalo sudocus namuunaanu roopondinchadaaniki mariyu parishkarinchadaaniki oka paddhati untundi, mariyu oka prograamku saadhaarana sudokunu parishkarinchadaaniki 100 kante takkuva panktula code avasaram kaavacchu. code balamaina reasoning algorithamnu upayoginchinatlayithe, backtracking cherchadam atyanta kashtataramaina sudokasku matrame avasaram. bactrackingtho addanki-namuunaa-aadhaarita algorithamnu kalipe algorithm vegavantamaina parishkara samayam yokka prayojanaanni kaligi untundi-konni milliseconla kramamlo-mariyu anni sudokaslanu parishkarinche saamarthyaanni kaligi untundi.
khachitamaina cover.
sudoku puzzles nuu khachitamaina cover samasyaga ledhaa marinta khachitamgaa, khachitamaina hitt sett samasyaga varninchavachhu. idhi samasya yokka sogasaina vivarana mariyu samarthavanthamaina parishkaranni anumatistundi. sudokunu khachitamaina cover samasyaga modal cheyadam mariyu naath yokka algorithm x mariyu athani dance links technic vanti algorithamnu upayoginchadam anedi sudoku puzzlesku saadhyamayye anni parishkaralanu vaegamgaa kanugonadaaniki [micro seconlalo kolustaaru] empika chese paddhati."
oka pratyaamnaaya vidhanam emitante, niluvu varusa mariyu varusa strikingtho kalipi gaas elemination upayoginchadam.
sambandhaalu mariyu avasheshaalu.
q" anedi 9x9 sudoku maatrika, "n" = {1,2,3,4,5,6,7,8,9}, mariyu "x" anedi saadhaarana varusa, niluvu varusa ledhaa blacknu suuchistumdi. "n" "q" "nii nimpadaaniki chihnalanu alaage edainaa" "x" "yokka 9 muulakaalaku suuchika samitini andistundi". q" loe icchina muulakaalu "q" nundi "n" varaku pakshika functionnu suuchistaayi. parishkaram "r" anedi "mottam sambandham" mariyu anduvalla oka function. sudoku niyamaalaku "r" nundi "x" parimiti oka bijection anie avasaram, kabatti "x" kii parimitam cheyabadina edainaa pakshika parishkaram "c" anedi "n" yokka pakshika kramaparivartana.
t" = {"x": "x" anedi "q"} yokka varusa, niluvu varusa ledhaa block, kabatti "t" loe 27 muulakaalu untaayi. amarika" anedi pakshika kramabaddheekarana ledhaa "n" paie kramabaddheekarana. n" paie anni erpaatla samiti "z" gaa undanivvandi. anukuulamaina erpaatlu avasaramayye "a" (okati nundi moodu) mariyu "b" sambandhaala kuurpugaa niyamaalanu chaerchadaaniki pakshika parishkaram "c" nuu samskarinchavachuhu
puzzle yokka parishkaram, "q" loki pravesinchadaaniki kotta "q" kosam suuchanalu, nishedhita amarikala suutram _ 2 nundi vachayi, idhi "q" x "z" loe "c" yokka puurakamh sambandhaala gananalo upayogakaramaina sadhanalu avasheshaalu