lec0316-BSTanalysis-ann - Announcements: MP5 available. Due...

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Unformatted text preview: Announcements: MP5 available. Due 4/1 (EC due 3/18). Today: Binary Search Trees — removal and analysis http://webdiis.unizar.es/asignaluras/EDA/AVLTree/avltree.html I f To use. h 3 69 A alr'Ch‘On"V / \ insert k N ‘ remove @ / Ind E9 5 traverse — Boan Binary Search Tree - Remove voxd BBRK,D>udoRoI-avalttroouodo ' 5 Chat) | void BBT<K.D>:xr 1t ((cloot—>1o£t -- NULL) u. cannot-nun: - HULL“ 1! (cacot - nocnildnnovomloot): "tum: I .1" 1t ((cMot->lolt :- NULL) (.5 (cfloot->r19ht 1- mm.” olu 1f (capo tvochsldnonowtcnootn amen .1“ ~ .1“ I! (d < omsldmwtcloou: roam. (enact->z19ht. d)! Binary Search Tree - Remove void IBT<K.D>|zucchildlenovettxeeuode ' 5 clout) 1 delete clootl — vold BBT<K.D>:xr 1t (ciao: .- I elee t! (c800 doneuovel( (d< '0‘“'ni elee 1! {(cloot->le!t 1- NULL) 66 lcloot->riqht '- NULL!) cucchildlenove(cflootla else oneChAldlenove¢clootla elee t! else re-oveccloot->rtght.d): Binary Search Tree - Remove vold DST<K.D>IIonochildflonovoltrcouodo ' 6 enact) i troonod. ‘ (cup - cnoot: votd BBT<K' 1: (enact->101: - HULL) CROOt - Root->rsqht: 1, ‘(c . 0100 cloo - clock->lott: nochi doloto W— 01-. it tuoChsldnnnovo(cRootlz 01-. onoChlldlonovv(clootl: voxd BBT<K.D>::r 1: (cRoot -- / 01-. 1f (cRoo doflnnovalt roturn: 01.0 I! (d < roaovo(c - 01.0 tonovodcaoot->thht.d): Binary Search Tree - Remove votd BST<K.D>':tvochtldflnuovoitrooflodo ' b choc!) ( tmuodo ' Q - xorlcaootn ’ cfloot->koy - gonzo)" I‘ “’O’& MOON" “M dolonovull10P(c=oot)|: O I. voxd BBT<K, 1! ((c - vold BBT<K.D>:xr 1t (caoot - D noCh1 01-. 1t tuochsldnonovotcnootl: ole. cnoChlldlonovotclootl: I 01.. if (caoo doaanova1( 01.0 I! (d < 3.1080: ole. renovoccnoot->z19ht.d)y Binary Seats: Tree - Remove trocflodo ' s I8?<K,D>x:l°f(ttooflodo ' 5 c890!) ( ‘. return tightfloatChi1dtcloot->lo£tiz void BBT<K. 1! ((c - uncut 01-0 1! tucchildlonovo(cflootla 01.. on.ChAldloaovo(clootla void BBT<K.D>::r it (ciao: .- I 0100 1! (cloo doflnnoval( 01.0 t! (d < IOIIII'I'H’ .100 renowoccloot->zlqht.d); Binary Search Tree - Remove ttulbdo ' 6 I8?<K.D>utiqhtuootchudttmlbdc ' 6 clout) I 11 (canal->tiqht -- NULL) “turn cflootl 01.. "turn rightmutchild (clout->ttqhtn votd DIRK. 1! ((c - noctu do. 1! tvochildlanovo (cloot) : also omChHMvoklootH void BBT<K. I»!!! 1: (ciao: - return: I .1" 1! (also Walt (d< 01” H olu rm.(cloot->:1¢It.d) 3 Binary Search Tree - miscellaneous characteristics and analysis XIIY ' {IV/X: -..1nnuxl(3|: '..huuuxl(7l: “..)n:oxl(lbi: “..)HEUII(J-I: ..1nn»rt(ffll: Binary Tree - The algorithms on BST depend on the height (h) of the tree. 6 The analysis should be in terms of the a amt of data (n) the tree contains. 2 2 1122 $0.0?“ on many/{u \ / E9 é) E» So we need a relationship between h and d t M rm .4 film, g) n. the height of a Binary Tree h S 9‘") f, 5"“! t u height(T) is: "— r ‘ “ . o ‘\ ifTisempty “ ,.. u - 1 + max(height(TL). heightUR)}. otherwise k? M A > Binary Tree - ory moment #1) “.98 what is maximum number of nodes (0) in a tree $8322“ # .9 “1.4 u bung ktk, «\(03: I’mM: 3, mlz\:'7._. “W‘s: \4- what is the least possible hei ht (h) for a tree of n nodes? 165850;: “‘Q‘QOW Binary Tree (theory moment #2) what ls minimum number of nodes (n) In a tree of height h? what is the greatest possible height (h) for a tree of n nodes? Binary Search Tree - The height of a BST depends on the order in which the data Is inserted Into it. 1324576 vs. 4236715 ...
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This note was uploaded on 01/26/2012 for the course CS CS 225 taught by Professor Heeren during the Spring '09 term at University of Illinois, Urbana Champaign.

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lec0316-BSTanalysis-ann - Announcements: MP5 available. Due...

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