Kutsvakurudza kwebhinari kunopesana sei nedzimwe nzira dzokutsvaka?
Context:Sorted arrays ne binary search is a very inefficient solution when insertion and deletion operations are interleaved with retrieval, taking  (n) nguva yechiito chimwe nechimwe chakadaro. Mukuwedzera, akarongwa arrays anogona kuomesa ndangariro kushandiswa kunyanya kana zvinhu kazhinji akaiswa kupinda array. Kune zvimwe zvivako zvemashoko zvinotsigira kupinza nokudzima kunobudirira zvikuru. Binary kutsvaka inogona kushandiswa kuita chaiwo enzanirana uye yakatarwa nhengo (kuziva kana chipfuro ukoshi ari muunganidzwa tsika). Pane zvivako zvemashoko zvinotsigira kukurumidza kunyatsowirirana uye kunyorwa kwenhengo. Zvisinei, kusiyana nedzimwe nzira dzakawanda dzokutsvakurudza, kutsvakurudza kwebhinari kunogona kushandiswa pakuenzanisa kwakanaka, kazhinji kuita kuenzanisa kwakadaro mumamiriro ezvinhu akaoma. O ((log n) nguva pasinei nerudzi kana chimiro chemitengo yacho pachavo. Mukuwedzera, pane mamwe mabasa, akadai sokuwana chinhu chiduku uye chikuru, chinogona kuitwa zvakanaka pamutsetse wakarongwa.  Kutsvaka kwakananga:  Kutsvaka kwakananga inzira iri nyore yokutsvaka inonzvera chinyorwa chimwe nechimwe kutozosvikira chawana kukosha kwakananga. Kutsvaka kwakananga kunogona kuitwa pane runyorwa rwakabatanidzwa, izvo zvinobvumira kuisa nekukurumidza uye kubvisa pane array. Binary search inokurumidza kupfuura linear search for sorted arrays kunze kwekunge iyo array ipfupi, kunyange zvazvo iyo array inoda kurongedzwa zvisati zvaitika. Zvose zvigadziriswa zvigadziriswa zvinobva pakuenzanisa zvinhu, zvakadai sequicksort uye kusanganisa kusarudzwa, zvinoda zvishoma O ((nlog n) kuenzanisa mumamiriro ezvinhu akaipisisa. Kusiyana nokutsvakurudza kwakananga, kutsvakurudza kwebhinari kunogona kushandiswa nokuda kwokuenzanisa kwakanaka. Pane mabasa akadai sokuwana chinhu chiduku uye chikuru chinogona kuitwa zvakanaka pane aramu yakarongwa asi kwete pane aramu isina kurongwa.  Miti:  Miti yokutsvaka miviri inotsvakwa ichishandisa algorithm yakafanana nekutsvaka miviri. Muti wokutsvakurudza weBinary muti weBinary tree data structure iyo inoshanda yakavakirwa pamutemo wekutsvaga kweBinary. Zvinyorwa zvemuti zvakarongedzwa zvakarongeka, uye chinyorwa chimwe nechimwe chiri mumuti chinogona kutsvakwa uchishandisa algorithm yakafanana nekutsvaga kwebhinari, kutora paavhareji logarithmic nguva. Kuisa nokudzima kunodawo paavhareji nguva yelogarithmic mumiti yokutsvaka miviri. Izvi zvinogona kukurumidza kupfuura Linear nguva kuisa uye kudzima akasarudzwa akaturikidzana, uye binary miti kuramba kukwanisa kuita zvose akavhiyiwa zvinogoneka pamusoro akasarudzwa akaturikidzana, kusanganisira siyana uye approximate queries.  Zvisinei, binary search inowanzoshanda zvakanyanya pakutsvaga sezvo miti yekutsvaga yebhinari ingangove isina kukwana, zvichikonzera kuita kwakashata zvishoma pane kutsvaga kwebhinari. Izvi zvinoshanda kunyange kumiti yokutsvaka miviri yakaenzana, miti yokutsvaka miviri inoenzanisa mapfundo ayo, nokuti kashoma kuti ibudise muti une mwero muduku zvikuru unobvira. Kunze kwemichero yebharanzi yekutsvaga, muti wacho unogona kunge usina kuenzana zvikuru nemakumbo mashoma emukati ane vana vaviri, zvichiita kuti nguva yekutsvaga yepakati uye yakaipisisa iswedere pedyo n kuenzanisa.[e] Binary kutsvaka miti kutora nzvimbo yakawanda pane akarongeka arrays.  Miti yokutsvaka miviri inobatsira kutsvaka nokukurumidza mundangariro yokunze yakachengetwa muzvinyorwa zvakaoma, sezvo miti yokutsvaka miviri inogona kurongwa zvakanaka mumapurogiramu epafaira. B-muti unoita kuti nzira iyi yokuronga miti ive yakajairika. B-mitengo inowanzoshandiswa kuronga kuchengetedza kwenguva refu senge dhatabhesi uye mafaera.  Kutaura: Nokuda kushandisa associative arrays, hash tables, a data structure that maps keys to records using a hash function, are generally faster than binary search on a sorted array of records. Most hash table implementations require only amortized constant time on average. Zvisinei, hashing haibatsiri pakuenzanisa, zvakadai sokunyorwa kwechidimbu chinotevera, chikuru chinotevera, uye chiri pedyo, sezvo ruzivo chete runopiwa pakutsvaga kwakakundikana ndechokuti chinangwa hachipo mune chero zvinyorwa. Kutsvakurudza kwebhinari kwakanakira kuwirirana kwakadaro, kuchiita munguva yelogarithmic. Kutsvakurudza kwebhinari kunotsigirawo kuenzana kunenge kuripo. Mamwe mabasa, akadai sokuwana chinhu chiduku uye chikuru, anogona kuitwa zvakanaka pamapoka akarongwa asi kwete pamatafura ehash.  Gadza nhengo dzemaalgorithms: Chinetso chine chokuita nokutsvaka ndiko kuva nhengo yesangano. Chero algorithm inoita kutsvaka, kufanana binary kutsvaka, rinogonawo kushandiswa kuti yakatarwa nhengo. Kune dzimwe nzira dzinoshanda dzakakodzera zvikuru kuva nhengo dzeboka. A bit array ndiyo yakapfava, inobatsira apo nharaunda yamakiyi inoganhurirwa. Iyo inochengeta muunganidzwa wemabiti, nebhiti rimwe nerimwe rinomiririra kiyi imwe chete mukati mehuwandu hwemakiyi. Bit arrays inokurumidza zvikuru, inoda bedzi O(1) nguva. Judy1 mhando yeJudy array inobata makiyi makumi matanhatu nematanhatu zvinobudirira.  Nokuda kwezvakawanikwa, Bloom filters, imwe probability data structure yakavakirwa pa hashing, inochengetedza seti yemakiyi nekunyoresa makiyi achishandisa bit array uye akawanda hash functions. Bloom filters vane zvakawanda nzvimbo-kwakabudirira pane zvishoma arrays muzviitiko zvizhinji uye kwete zvikuru anononoka: pamwe k hash functions, membership queries zvinoda chete Nguva yakanaka. Zvisinei, mafirita eBloom anotambura nemigumisiro isina kururama.  Mamwe magadzirirwo edata: Pane zvivako zvemashoko zvinogona kuvandudza kutsvaka binary mune zvimwe zviitiko zvose kutsvaka uye mamwe mashandiro aripo nokuda akasarudzwa arrays. Somuenzaniso, kutsvaka, kuenzanisa, uye kushanda kunowanika kumapoka akarongwa kunogona kuitwa nenzira inobudirira kupfuura kutsvaka binary pane zvivako zvemashoko zvakadai semiti yevan Emde Boas, miti yekubatanidza, kuedza, uye bit arrays. Aya magadzirirwo e data anowanzo kukurumidza chete nekuti anotora mukana wezvinhu zvekiyi zvine chimwe chinhu (kazhinji makiyi ari madiki akazara), uye nekudaro anozotora nguva kana nzvimbo yekushandisa makiyi asina hunhu ihwohwo. Chero bedzi makiyi anogona kurongwa, mabasa aya anogona nguva dzose kuitwa zvinobudirira pane yakarongwa array pasinei makiyi. Zvimwe zvivako, zvakadai seJudy arrays, zvinoshandisa nzira dzakasiyana-siyana kuti zvidzivise izvi asi zvichiramba zvichibudirira uye zvichikwanisa kuenzanisa.
Sorted arrays ne binary search is a very inefficient solution when insertion and deletion operations are interleaved with retrieval. Sorted arrays with the binary search are a very inefficient solution when insertion and deletion operations are interleaved with retrieval. Mukuwedzera, akarongwa arrays anogona kuomesa ndangariro kushandiswa kunyanya kana zvinhu kazhinji akaiswa kupinda array. Binary search inokurumidza kupfuura linear search for sorted arrays kunze kwekunge iyo array ipfupi, kunyange zvazvo iyo array inoda kurongedzwa zvisati zvaitika. Binary search inowanzoshanda zvakanyanya pakutsvaga sezvo miti yekutsvaga yebhinari ingangove isina kukwana, zvichikonzera kuita kwakashata zvishoma pane kutsvaga kwebhinari. chimiro chemashoko chinoronga makiyi kumarekodhi achishandisa hash basa, kazhinji chinokurumidza kupfuura kutsvaga kwebhinari pane yakarongedzwa array yemarekodhi.