chopsttikkukal (hand geyim)

rando athiladhikamo kalikkarkkulla oru hand geyimaanu chopsttikkukal (chilappol calculator ennu vilikkunnu), athil kalikkaar oro kaiyilum ninnu niravadhi viralukal neekkukayum oru kaii mattonnil thattunnathinayi aaa skorukal maattukayum cheiyunnu. oru kompinettoriyal geyiminte oru udaaharanamaanu chopsttikkukal, thikanja kaliyode eathu pooyintil ninnum oru opttimal straattaji ariyappedunnu enna ardhathilaanu ithu pariharikkappedunnathu.
niyamangal.
thaazhe vivarichirikkunnathu oru kaiyude thuka 5 kavian anchu viralukal kuraykkunna eee audyogika niyamangale "rollover" ennu vilikkunnu.
bisi 190ll veendum vanna eee geyim varshangalolam padichuvarikayaanu. roman raajyathin chopsttikkukalude aadyathe record geyim undaayirunnu, inii muthal geyim ippol line geyiminte mukalilekku purogamichu.
churukkezhuthu.
oru chopstikku sthaanam eluppathil naalu akka coode [abcd] aayi churukkam. eiii, bii enniva avarude oozham edukkaan pookunna kalikkaarante kaikalaanu (viralukalude aarohana kramatthil). sii, dii enniva avarude oozham edukkaan pookunna kalikkaarante kaikalaanu (viralukalude aarohana kramatthil). oro kalikkaaranteyum kaikal aarohana kramatthil rekhappeduthendathu pradhaanamaan, athinaal orotta vyathyastha sthaanam abadhathil rund kodukalaal prathinidheekarikkappedunna. udaaharanathinu, coode [1032] anuvadaneeyamalla, athu [0123] ennu rekhappeduthanam.
athinaal, arambha sthaanam [1111] aanu. adutha sthaanam [1211] aayirikkanam. adutha sthaanam [1212] allengil [1312] aayirikkanam. oro sthaanavum 4 akka samkhyayaayi kanakkaakkumbol, ettavum cheria sthaanam 0000 umm ettavum valia sthaanam 4444 umm aanu.
eee churukkezhuthu formula kooduthal kalikkaarulla geyimukalilekku eluppathil vikasikkunnu. moonnu kalikkaarude kaliye aarr akkangalaal prathinidheekarikkam (udha.jii. [111211]), aduthulla oro jody akkangalum orotta kalikkaarane prathinidheekarikkunnu, koodaathe oro jodiyum kalikkaar eppol avarude oozham edukkum ennathine adisthaanamaakkiyaanu oordar cheiyunnathu. ettavum idathuvashathulla jody thante oozham edukkaan pookunna kalikkaarante kaikale prathinidheekarikkunnu; madhya jody aduthathaayi pookunna kalikkaarane prathinidheekarikkunnu, thudangiyava. ettavum valath jody thante oozhathinu munbu ettavum kooduthal kaalam kaathirikkenda kalikkaarane prathinidheekarikkunnu (saadhaaranayaayi addeham veruthe poyathinaal).
neekkangal.
saadhaarana niyamangal prakaram, paramavadhi 14 neekkangal saadhyamaan
ennirunnaalum, ivayil ancho athil kuravo maathrame oru nischitha tenil labhyamaakoo. udaaharanathinu, 1312-nte aadyakaala sthaanam 2213,1313,2413,0113, allengil 1222-lake pookaam.
kaliyude dairkhyam.
saadhyamaaya ettavum cheria geyim 5 neekkangalaanu. oru udaaharanamunda
oro neekkatthilum arambha pooyintil ninnu kooduthal dooram pookunna ettavum dairkhyameriya geyim 9 neekkangalaanu. rund udaaharanangalund
punaparisodhanaasheshamulla ettavum dairkhyameriya geyim anishchithathvathilaanu.
sthaanangal.
roll-ovar thuka 5 aayathinal, chopsttikkukal oru bays-5 geyimaanu. oro sthaanathinum naalu akkangal veethamaanu neelam. 0000 muthal 4444 vare vare enniyaal 625 sthaanangal labikkum. ennirunnaalum, eee sthaanangalil bhooribhaagavum thettaaya notteshanukalaanu (udha.jii. 0132, 1023, 1032). avaa vyathyasthamayi kaanappedunnundengilum gameplayil pravartthanaparamaayi onnuthanneyaanu. pravartthanaparamaayi vyathyasthamaaya sthaanangalude ennam kandethaan, pravartthanaparamaayi vyathyasthamaaya jodikalude ennam vargeekarikkuka. 15 vyathyastha jodikalundu (00,01,02,03,04,11,12,13,14,22,23,24,33,34,44). rund kalikkaarkkum eee jodikalil eathenkilum undakaan kazhiyumennathinaal, nammal 15 * 15 gunikkuka, ithu 225 pravartthanaparamaayi vyathyastha sthaanangal nalkunnu.
athicheraanaavaatha 21 thasthikakalundu 0000,0100,0200,0300,0400,1100,1101,1200,1300,1400,2200,2222,2300,2400,3300,3303,3400,344,444,4400,444. 
athicheraavunna 14 end geyimukal undu 0001,0002,0003,0004,0011,0012,0013,0014,0022,0023,0024,0033,0034,0044. thripthikaramaayi mathi, ivayellaam saadhyamaaya 14 end geyimukalaanu; mattoru vidhathil paranjaal, 14 vyathyastha live jodikalil eathenkilum upayogichu aarkkenkilum vijayikkaan kazhiyum. eee 14 end geyimukalil, aadya kalikkaaran athil 8 ennam vijayikkunnu, geyimukal kuranja neekkangalil avasaanichuvennu karuthuka.
opttimal thanthram.
mukalilulla niyamangal upayogichu, rund thikanja kalikkaar anischithamaayi kalikkum; geyim oru looppil thudarum. vaasthavathil, valare parichayasampannarallaatha kalikkaarkku polum oru neekkam munnott nokkiyaal tholvi ozhivakkaan kazhiyum.
kattoof vyathiyaanathil, aadya kalikkaaran oru vijayam nirbandhikkaan kazhiyum. oro neekkathinum sesham ellaayppozhum inipparayunna konfigareshanukalilonnil ethuka ennathaanu oru vijaya thanthram, onniladhikam choisukal undengil pattikayil aadyathethu thiranjedukkuka. 
neremarichu, divisionilum aathmahathyayilum maathram vyathiyaanam, appol randaamathe kalikkaaran vijayikkunna thanthramund.
saamaanyavalkkaranangal.
chopsttikkukale oru (pii, aarr)-tharam geyimaayi saamaanyavalkkarikkam, avide "pii" ennathu kalikkaarude ennavum "aarr" ennathu roll-ovar thukayum aanu.
rund kalikkaaril kuravu.
oru kalikkaaran ulla oru geyim kaliyile avasana kalikkaaran enna nilayil nissaaramaayi geyim vijayikkunnu. poojyakkaaraaya kalikkaarulla oru gaim athupole nissaaramaan, kaaranam geyimil kalikkaarum illa, athinaal vijayikalilla.
rund kalikkaar.
formula _ 2-nte oru roll-ovar nalkiyirikkunnu,
roll-ovar thuka formula _ 2 aayathinal, chopsttikkukal oru bays-formula _ 2 geyimaanu. oro sthaanathinum formula _ 11 akkangal neelamundu. adisthaana soothravaakyathile ellah samkhyakalum 11 akkangalude soothravaakyathode kanakkaakkunnath namukk soothravaakyam 5 sthaanangal nalkunnu. ennirunnaalum, eee sthaanangalil bhooribhaagavum thettaaya notteshanukalaanu (udha.jii. 1002, 0120, 1020). avaa vyathyasthamayi kaanappedunnundengilum gameplayil pravartthanaparamaayi onnuthanneyaanu. pravartthanaparamaayi vyathyasthamaaya sthaanangalude ennam kandethunnathinu, pravartthanaparamaayi vyathyasthamaaya jodikalude ennam nammal vargeekarikkunnu. formula _ 2-nte oru roll-oovarinu, formula _ 16 vyathyastha jodikalundu, avide formula _ 16 formula _ 2-aam trikona samkhyayaanu. eee jodikalil eathenkilum oru kalikkaaran undakaamennathinaal, falamaayundaakunna moolyathe nammal square cheiyunnu, ithu namukk formula _ 6 pravartthanaparamaayi vyathyasthamaaya sthaanangal nalkunnu.
formula _ 7-nuu formula _ 20 athicheraanaavaatha sthaanangalundu. 
randil kooduthal kalikkaar.
5 enna roll ovar nalki.
kesukal vashalaakunnu.
1 enna roll-ovar thukayulla oru geyim nissaramaaya kaliyaanu, kaaranam onninte moolyangal poojyatthinte moolyangalaayi maarunnathinal ellah kaikalum thudakkathil marichupokunnu.
2 roll ovar alavulla oru geyim degenerate aanu, kaaranam vibhajanam asaadyamaanu, roll ovar, kattoof vyathiyanangal ore gaeminu kaaranamaakunnu. kaikal onnukil 'jeevanode', 'maricha', oru kaii aakramikkunnath kaii kollunnu. vaasthavathil, oru kalikkaaran ulla 'kaikal' (viralukaloo mattethenkilum ennal reethiyo upayogichu) kanakkakkaan kazhiyum, oru kalikkaaran ethiraaliye aakramikkumbol, ethiraaliyude kaikalude ennam onnu kurayunnu. geyimil motham 39 formulakal athicheraavunna sthaanangalundu, koodaathe 40 formulayude oru geyim dairkhyamundu. rund kalikkarkkulla geyim oru aadya vyakthi vijayamayi shakthamayi pariharikkappedunnu.
rund kalikkaarkku oru kaii maathram ullappol, kalii degenerate aakunnu, kaaranam pilarppukal sambhavikkaan kazhiyilla, oro kalikkaaranum oru neekkam maathrameyulloo. formula 25 neekkangalkk sesham oro sthaanavum formula 2-nte roll ovar nalkiyaal tupple formula 43 prathinidheekarikkam, avide formula 44 ennathu formula 46 umm formula 47 umm ulla formula 25-aamath fibonacci nambaraanu. sthaanangalude ennam kuranja positteev nambar formula 25 nalkunnu, athaayath formula 2 formula 50-neey vibhajikkunnu. formula 2-neey aashrayich iruvashathekkum vijayamayi eee vakabhedam shakthamayi pariharikkappedunnu. kaliyude neelam formula _ 52 aanu.

