Binary Search vs Linear Search
Linear search, tseem hu ua qhov kev tshawb nrhiav sib txuas yog qhov yooj yim tshaj plaws nrhiav algorithm. Nws tshawb nrhiav tus nqi teev nyob hauv ib daim ntawv teev npe los ntawm kev txheeb xyuas txhua yam hauv daim ntawv teev npe. Binary tshawb nrhiav kuj yog ib txoj hauv kev siv los nrhiav tus nqi teev nyob rau hauv ib daim ntawv teev npe. Txoj kev tshawb nrhiav binary ib nrab ntawm cov ntsiab lus tshawb xyuas (hauv txhua qhov kev rov ua dua), txo lub sijhawm los nrhiav cov khoom muab hauv daim ntawv teev npe.
Kev Tshawb Nrhiav Kab Ntsig yog dab tsi?
Linear search yog txoj kev tshawb nrhiav yooj yim tshaj plaws, uas tshawb xyuas txhua lub ntsiab lus hauv ib daim ntawv teev npe ua ntu zus mus txog thaum nws pom cov ntsiab lus. Cov tswv yim rau txoj kev tshawb nrhiav kab yog ib ntus (xws li ib qho array, sau los yog ib txoj hlua) thiab cov khoom uas yuav tsum tau tshawb nrhiav. Cov zis tawm muaj tseeb yog tias cov khoom tau teev tseg nyob rau hauv qhov muab ib ntus lossis tsis tseeb yog tias nws tsis nyob hauv ib ntus. Txij li thaum txoj kev no kuaj xyuas txhua yam khoom hauv daim ntawv kom txog rau thaum pom cov khoom teev tseg, qhov phem tshaj plaws nws yuav mus dhau tag nrho cov ntsiab lus hauv daim ntawv ua ntej nws pom cov khoom xav tau. Lub complexity ntawm linear search yog o(n). Yog li ntawd nws yog suav tias yog qeeb dhau los siv thaum tshawb nrhiav cov ntsiab lus hauv cov npe loj. Tab sis qhov no yooj yim heev thiab yooj yim rau kev siv.
Kev Tshawb Fawb Binary yog dab tsi?
Binary search kuj yog ib txoj hauv kev siv los nrhiav cov khoom tshwj xeeb hauv cov npe txheeb. Txoj kev no pib los ntawm kev sib piv cov khoom tshawb nrhiav rau cov ntsiab lus hauv nruab nrab ntawm daim ntawv teev npe. Yog tias qhov kev sib piv txiav txim siab tias ob lub ntsiab lus sib npaug, txoj kev nres thiab rov qab rau txoj hauj lwm ntawm lub caij. Yog tias cov khoom tshawb nrhiav ntau dua qhov nruab nrab, nws pib txoj kev rov siv tsuas yog hauv qab ib nrab ntawm cov npe txheeb. Yog tias cov khoom tshawb nrhiav tsawg dua qhov nruab nrab, nws pib txoj kev rov siv tsuas yog sab saum toj ib nrab ntawm cov npe txheeb. Yog tias cov khoom tshawb nrhiav tsis nyob hauv daim ntawv teev npe, cov txheej txheem yuav rov qab tus nqi tshwj xeeb qhia qhov ntawd. Yog li ntawd txoj kev tshawb nrhiav binary ib nrab ntawm cov ntsiab lus piv (hauv txhua qhov iteration), nyob ntawm qhov tshwm sim ntawm qhov sib piv. Yog li ntawd, kev tshawb nrhiav binary khiav hauv lub sijhawm logarithmic uas ua rau o(log n) qhov nruab nrab qhov kev ua tau zoo.
Dab tsi yog qhov txawv ntawm Binary Search thiab Linear Search?
Txawm hais tias ob qho tib si kev tshawb nrhiav thiab kev tshawb nrhiav binary tab tom nrhiav txoj hauv kev lawv muaj ntau qhov sib txawv. Thaum kev tshawb nrhiav binary ua haujlwm ntawm cov npe txheeb, kev tshawb nrhiav liner tuaj yeem ua haujlwm ntawm cov npe tsis txheeb thiab. Kev txheeb xyuas cov npe feem ntau muaj qhov sib txawv nruab nrab ntawm cov ntaub ntawv n log n. linear search yog qhov yooj yim thiab ncaj nraim rau kev siv dua li kev tshawb nrhiav binary. Tab sis, kev tshawb nrhiav linear qeeb dhau los siv nrog cov npe loj vim nws qhov o(n) qhov kev ua haujlwm nruab nrab. Ntawm qhov tod tes, kev tshawb nrhiav binary suav tias yog ib txoj hauv kev zoo dua uas tuaj yeem siv nrog cov npe loj. Tab sis kev siv qhov kev tshawb nrhiav binary tuaj yeem yog qhov nyuaj heev thiab kev tshawb fawb tau pom tias cov lej raug rau kev tshawb nrhiav binary tuaj yeem pom hauv tsib ntawm nees nkaum phau ntawv xwb.
