 binery shoodhana  vs  itara shoodhana padhakaalu elaa untai ?
 binery shodhanatho kramabaddheekarinchabadina srenulu choppinchadam mariyu tholagimpu karyakalapalu tirigi pondadam ,  teesukovadamto inter ‌ leave cheyabadinappudu chaaala asamarthamaina parishkaaram .

 atuvanti prathi aapareshan choose  O(n)  samayam .  adanamga ,  kramabaddheekarinchabadina srenulu memary viniyoganni klishtataram chestaayi ,  pratyekinchi elements tarachugaa shreniloki choppinchabadinappudu .  marinta samardhavanthamaina choppinchadam mariyu tholagimpuku maddatu ichey itara deetaa nirmaanaalu unnayi .  binery shoodhana khachitamaina saripolikanu nirvahinchadaaniki mariyu sabhyatvaanni sett cheyadanki upayoeginchavachchu  ( viluvala sekaranalo lakshya viluva undhoo ledo nirnayinchadam ).  vaegavanthamaina khachitamaina saripolika mariyu sett member ‌ ship ‌ ku maddatu ichey deetaa nirmaanaalu unnayi .  ayinappatikee ,  anek itara shoodhana padhakaala vale kakunda ,  binery sodhananu samardhavanthamaina ujjayimpu saripolika choose upayoeginchavachchu ,  saadharanamga ituvante match ‌ lanu 
 viluvala rakam ledha nirmaanamtho sambandam lekunda  O(log n)  samayam .  adanamga ,  kramabaddheekarinchabadina shrenilo samardhavantamgaa nirvahinchagala athi chinna mariyu athipedda muulakaanni kanugonadam vento konni karyakalapalu unnayi .

 sarala shoodhana :

 liinear serch anede ooka sadarana shoodhana algaritham ,  idi lakshya viilevanu kanugone varku prathi recordunu tanikhii chesthundu .  rekheeya shoodhana linc cheyabadina jaabitaalo cheyavachu ,  idi shraeniki kante vaegamgaa choppinchadam mariyu tholaginchadam choose anumatistundi .  kramabaddheekarinchabadina shrenula choose sarala shoodhana kante binery shoodhana vaegamgaa umtumdi ,  shraeniki chinnadi ayithe tappa ,  srenini mundugane kramabaddheekarinchaali .  tvarita kramabaddheekarana mariyu vileena kramabaddheekarana vento amshalani saripolchadam aadhaaramga anni kramabaddheekarana algaritham ‌ laku kanisam avsaram 
 chethha sandarbhamlo  O(nlog n)  polikalu .  sarala shoodhana vale kakunda ,  samardhavanthamaina ujjayimpu saripolika choose binery sodhananu upayoeginchavachchu .  kramabaddheekarinchani shrenilo kakunda kramabaddheekarinchabadina shrenilo samardhavanthamgaa cheeyagala athi chinna mariyu athipedda muulakaanni kanugonadam vento karyakalapalu unnayi .

 chetlu :

 binery shoodhana treelu binery shoodhana maadirigaane algoritham upayoginchi sodhinchabadataayi .
 binery serch trey anede binery serch sutram aadhaaramga panichaesae binery trey deetaa structure .  chettu yokka recordulu kramabaddheekarinchabadina kramamlo amarchabadi untai mariyu chettulooni prathi rikard ‌ nu binery shoodhana maadirigaane ooka algaritham ‌ ni upayoginchi sodhinchavachhu ,  sagatu lagarithmic samayanni teesukuntundi .  binery shoodhana treelalo choppinchadam mariyu tholaginchadam kudaa sagatu lagarithmic samayam avsaram .  idi kramabaddheekarinchabadina shrenula yokka sarala same choppinchadam mariyu tholaginchadam kante vaegamgaa umtumdi mariyu binery treelu paridhi mariyu ujjayimpu prashnalato sahaa kramabaddheekarinchabadina shrenilo saadhyamayye anni karyakalapalanu nirvahinchagala saamardhyaanni kaligi untai .

 ayinappatikee ,  binery shoodhana saadharanamga sodhinchadaaniki marinta samardhavanthamgaa umtumdi ,  endhukante binery shoodhana treelu asampuurnamgaa samatulyamgaa untai ,  falithamgaa binery shoodhana kante komchem adhvaannamaina paniteeru umtumdi .  idi balance ‌ d binery serch treelaku ,  thama sonta nod ‌ lanu balance chese binery serch treelaku kudaa vartistundi ,  endhukante avi aruduga saadhyamainanta takuva sthaayilathoo chettunu utpatthi chestaayi .  balance ‌ d binery serch treelu minahaa ,  chettu iddharu pillalathoo konni amtargata nod ‌ lato teevramgaa asamatulyata kaligi vumdavacchu ,  falithamgaa sagatu mariyu chethha shoodhana samayam sameepistundi 
n  polikalu .  binery shoodhana treelu kramabaddheekarinchabadina shrenula kante ekuva sdhalaanni teesukuntaayi .

 binery serch treelu haard disick ‌ lalo nilwa cheyabadina baahya memarilo vaegavanthamaina sodhanaku runaalu andistaayi ,  endhukante binery shoodhana treelu fail ‌ sistom ‌ lalo samardhavantamgaa nirminchabadataayi . B- trey chettu samshtha yokka yea addhatini saadhaaraneekaristundi .  databases ‌ lu mariyu fail ‌ sistom ‌ l vento deerghakaalika nilvanu nirvahinchadaaniki  B- treelu tarachugaa upayoginchabadataayi .

 hashing :
 anubandha shrenulanu amalu cheyadanki ,  haash table ‌ lu ,  hyash function ‌ ni upayoginchi rikard ‌ laku keelanu map chese deetaa structure ,  saadharanamga kramabaddheekarinchabadina recordula shrenilo binery shoodhana kante vaegamgaa untai .  chaaala haash table amalulaku sagatuna maarna sthiramaina samayam Bara avsaram .  ayithe ,  hashing tadupari - chinna ,  tadupari - athipedda mariyu sameepa keyni computing cheeyadam vento ujjayimpu match ‌ laku upayogapadadu ,  endhukante viphalamaina sodhanalo andimchabadina ekaika Datia lakshyam e recordulonu ledhu .  binery shoodhana atuvanti match ‌ laku anuvainadi ,  vatini lagarithmic samayamlo pradarsistundi .  binery shoodhana kudaa sumaarugaa saripolikalaku maddatu estunde .  athichinna mariyu athipedda muulakaanni kanugonadam vento konni karyakalapalu kramabaddheekarinchabadina shrenulalo samardhavanthamgaa cheyavachu conei haash pattikalalo kadhu .

 member ‌ ship algaritham ‌ lanu sett chaeyamdi :
 sodhanaku sambamdhinchina samasya sabhyatvaanni sett cheeyadam .  binery shoodhana vento shoodhana chese edaina algoritham sett sabhyatvam choose kudaa upayoeginchavachchu .  sett member ‌ ship choose marinta pratyekamgaa saripaye itara algaritham ‌ lu unnayi .  bitt shraeniki anede saralamainadi ,  keela paridhi parimitamgaa unnappudu upayogakaramga umtumdi .  idi bitt ‌ l sekarananu sankshiptamgaa nilwa chesthundu ,  prathi bitt keela paridhiloo oche keyni suchisthundi .  bitt srenulu chaaala vaegamgaa untai ,  avsaram Bara 
O(1)  samayam . Judy1  rakam judy shraeniki  64- bitt keelanu samardhavantamgaa nirvahisthundhi .

 ujjayimpu phalithaala choose ,  blum filter ‌ lu ,  hashing aadhaaramga maroka sambhaavya deetaa nirmaanam ,  bitt array mariyu bahulha haash function ‌ lanu upayoginchi keelanu ene ‌ kooding cheeyadam dwara keela samitini nilwa chesthundu .  blum filter ‌ lu chaaala sandarbhaalalo bitt shrenula kante ekuva spaces - affective ‌ gaaa untai mariyu chaaala nemmadigaa undavu :  thoo 
k  haash function ‌ lu ,  sabhyathva prasnalaku Bara avsaram 
 O(k)  samayam .  ayithe ,  blum filterlu tappudu positive ‌ lato baadhapadutunnaayi .

 itara deetaa nirmaanaalu :
 kramabaddheekarinchabadina shrenula choose shoodhana mariyu itara kaaryakalaapaala choose konni sandarbhaallo binery sodhanalo meruguparachabade deetaa nirmaanaalu unnayi .  udaharanaku ,  wan emde boyas treelu ,  phyuujan treelu ,  prayatnalu mariyu bitt shrenula vento pratyeka deetaa structure ‌ lapai binery shoodhana kante sodhanalu ,  sumaarugaa saripolikalu mariyu kramabaddheekarinchabadina shrenulaku andubatulo umdae aapareshan ‌ lu marinta samardhavanthamgaa nirvahinchabadataayi .  yea pratyekamaina deetaa structure ‌ lu saadharanamga vegavantamainavi endhukante avi nirdishta lakshanam  ( saadharanamga chinna puurnaamkaalugaa umdae keelu ) thoo keela lakshanhaala prayojananni teesukuntaayi mariyu aa lakshanam laeni keela choose samayam ledha sdhalam viniyogistundi .  keelanu aurdar cheyagaliginanta kaalam ,  yea karyakalapalu allappuduu keelatho sambandam lekunda kramabaddheekarinchabadina shrenilo kanisam samardhavantamgaa cheyavachu .  judy shrenula vento konni nirmaanaalu ,  samarthatanu mariyu inchuminchu saripolikanu nirvahinchagala saamardhyaanni nilupukuntu dheenini tagginchadaaniki vidhanala kalayikanu upayogistaayi .
 binery shodhanatho kramabaddheekarinchabadina srenulu choppinchadam mariyu tholagimpu karyakalapalu tirigi pondadamtho antarleenamgaa unnappudu chaaala asamarthamaina parishkaaram .  adanamga ,  kramabaddheekarinchabadina srenulu memary viniyoganni klishtataram chestaayi ,  pratyekinchi elements tarachugaa shreniloki choppinchabadinappudu .
 kramabaddheekarinchabadina shrenula choose sarala shoodhana kante binery shoodhana vaegamgaa umtumdi ,  shraeniki chinnadi ayithe tappa ,  srenini mundugane kramabaddheekarinchaali .
 binery shoodhana saadharanamga sodhinchadaaniki marinta prabhavavamtamgaa umtumdi ,  endhukante binery shoodhana treelu asampuurnamgaa samatulyamgaa untai ,  falithamgaa binery shoodhana kante komchem adhvaannamaina paniteeru umtumdi .
 hyash function ‌ ni upayoginchi rikard ‌ laku keelanu map chese deetaa structure ,  saadharanamga kramabaddheekarinchabadina recordula shrenilo binery shoodhana kante vaegamgaa umtumdi .