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Cax3), (nfioo + dog) % belon ys to o(n) v £ tatan) (nt), Cnt+dogens ) 3 belongs to 0(a*) Ly omega Notation s— _[Hrepresens HM Lowen found af running a gf an algorsth mt - Tides i+ provides +4 best car & _ complexity 2 an olgorith Pan pig oe cnzen), Cant), Catesegens) 9 belings #9 BLU) —D Qlala), (2n+3)_, Colioo+ tog (a) ) 4 belongs te A(9) __v_§ 100, toy C2000), i 4 % belongs_to 24) I i | ex- | ek I us Sodue 1M -faltousigg by using jab Sequencs. pith eacliines _ ey Geen a ae to, 531) and (d--de) = Gls 3 Ars— a i i a Sip-T We woth arragge fra aecrange profits Pi _in descending eden along vith Correa pondliay dean eI t Profit 20 15 Ca shiaioa | Wy t, Po Pa (fc Ps Ocadsine Ds | @ B Skp-T — Creeder an _s0tey JF Ca ushih shoves se 700s “Tattlaty 49 wit be ee 2 i) a § o ° ° ° OQuendia or dor w2 Hou) Howe Sorte doris M follow a, $7, 4H (12, oth a neat allegra representing eae a a . a PRESS S70 Noy TA Sc, °K J ) In 33, ; mh e s7[ 3] [afss] (2 [ress] VS SO SEN IS] eal ed lea) Nel Bs) eee Gobet - Wii fl wy Gb & Ge fe) a & Wee \W [44] upl sty fa [56 22 [33 [76 65,34 \ Wa | 12 | My ys] sé | say. J3 33 [65/76 fayom casec — smO=M ink SOC3X 45IN3K- SOL Jae sin 8 i c pen SecO — cas ORAM PRACTICAL NOTE BOOK ar ep a i* gob_in avray TCT at index derotel by iS cleadune| Pst job ts Px, ate ie Sa ne SSF ae eee e AY _— Heme tnsere Phin array, TOI os ah dex. an] Next Job ts P2 uskose deadune Is 2. but JL2Z ts alread Sccupte dl + Ue wit Aeonch for enpty tocation < J [2] - Tre TL fs eripy + Trou p2_at TC1]. Next deb ts Pg ustese deadltne ts 4- Qutas Tra] Is already | occupied discard ths job + Nee Job Is >Py with deadbine 3. Toent Pa at US] —Stp-r Nex Job ts PS with deadline 3, buck ac thew ts expiry. | a Jot at <= JCS] , wit alscand Ms fos-NO Explain Prim's Afgarhthe with cpproprtott example ' WHEE ( se Now Choose Fhe edge CA + Hou, we cannot color AL edge CE 94 tb euould Cireake a_cyck to # Grph, So theese Hu edge CA andl adel Gi Botte. graph _pyodluctal _M._Siep S ty Minimuer panei tree of gid graph. Te cash MST ts pen befor’ D1 Gacy Nt c= TN SO b| _Kwvusial’s _fifgoritie. é=_Hris ates algerither wed In graph theo fo frrak ee Minimum ae Te (MST) gy a connecitd]_, undirected graph fe AST Is a cubsed of edges that connects all TAL vertices without any yolus and with th AudlmuM pocuble fotal edge Udtight Krusteal’s “abgerithn 1S Greedy, Meaning iF buts pre MST bg abuoys Cheasing TAL atct- Shortesr e phot ofoesn’t frm o Oyclee eo SK of Kruagal's Adgoritnns— sli Sort of 24ges: Begin ms Aortigg alt We edge tn Huave “Repeat untie MST ts complete : fhina non decresing order of ther Welgik” i qpuiauiz Subsets 8 aM — Create a seb fr each vowtn se graph Trig ts usually cone ustag ¢ Ms jor cr UNION ~find olaia Sfructuut , whi nelps t_Managieg and Neng dels epplelertly, cer union C osu) iy Jtvaie oven Sorted edges 3 Trawere te _Sorte al edge Mist) cand for each edge dervrrdan padding It te He growing spanning Hel toorlal prt a cyekt - Als is done by checking if the TH90 yentias of ft edge beteng 70 life do, incuele MS eye | SESAME DT A HST end union AL 6S se. hon Venting = [peg boing to Psat gee , Meluctieg THS |e would fore a cyt , So ims alte carded - Continut "the procws ieee untid fru ow V~t | efots Ine MIT, whou Y fs fer nmeber gf vedanta Te graphs Explaln pu Kaapsacis._prebtert » Find areptimal goin +0 ti a Knapoacre Innianch NET, M=LS Geel Clea (A — — ad) (to 51 5,7) 6,(8,3) ond (Wr — 1) = 06 235,79, HDPRACTICAL Exe a NOTE BOOK il is tn knapsack problem , fou need to pack a set of Hems , von given, uluis ancl Sizes Couch as welts or vobnes) phe fotat size tan e1 ye Ce with MakiMum Capaclty 6 tf of fe Tks @xowtela Mc capacity, You can't pacs them ane me, the prevent ie fo choose a Aubserof Tens, of daxinum fotel volut Rat WIN ft tn fre contlne- Optinat_sobutton fhak: gives “Ne nue profit Sept “To find prapie]wmagis eto a Beh type BSs oem! — pel, = 5/2 = 167 pee = laf = 41S jw = sls = 3 Py fio = 31 = 3 _ puja = Wh = il Sept (Aeacge ns profs] lot vasio 19 non Jnowastng ow valuts )» Groce The Abghest fit] ely as great profiel sy ts 6 * Tor ts poles So 4st valuihs S- econd i elata eyeeea wetio fg 5. Trat fS Sin) Bal abe (8 so Simihetly -coLoulate “such » valuis 0nd arianse the fn men Jnowtastng _ orden - : = Order = (S14 Bh 2) a