ffi - university of california, san diegocseweb.ucsd.edu/classes/wi17/cse151-a/decisiontree.pdf ·...

17
a ( s>n-oa1 hqDu"u ,u-o ,-r;g,,>{S-o )tott<, T?cpol aurvs) .fa{lal )D oa sp.rods ?LLqt S.oz I qr.oS _ arr)fszf str+ Jo ?fr[Dr\ zLl+ uD ?ac'oq ?pDtw q3 1-4,D.LS.rcaP t):"Po(, 4d.rDf alngoagfr r .ItD pzsog S? apo,* 41r)1O-J z \aq'o1 LT'< zx E aa<*, sI \ eN\ -t '\"qol ".\ o x?Gro'1 17qo1 p a?a& @ I "N /,,u ) o4. ey sI a fzqol D \ 9l-{ '\ d, g ) lX sI '+<r'od Zyn'lyu szLfi4rr) ffi\@ -r ^rTOl o t"To-l '!) v "N\ / 6ak ffi z*'zx'* svt:o4v"J :TiSuroxl zx O r?W1 o f"qq1 O,6u{!] T lacno-l s'IE*L ,rro$f7?A i\ u.nytal

Upload: letuyen

Post on 11-Mar-2019

213 views

Category:

Documents


0 download

TRANSCRIPT

a( s>n-oa1 hqDu"u ,u-o ,-r;g,,>{S-o

)tott<, T?cpol aurvs) .fa{lal )D

oa sp.rods ?LLqt S.oz I qr.oS _arr)fszf str+ Jo

?fr[Dr\ zLl+ uD ?ac'oq ?pDtwq3 1-4,D.LS.rcaP t):"Po(, 4d.rDf

alngoagfr r.ItD pzsog S? apo,* 41r)1O-J

z \aq'o1LT'< zx E

aa<*, sI

\ eN\

-t '\"qol

".\

o x?Gro'1

17qo1p

a?a& @I

"N

/,,u ) o4. ey sI

a fzqol D

\ 9l-{ '\

d, g ) lX sI '+<r'od

Zyn'lyu szLfi4rr) ffi\@

-r ^rTOlo t"To-l

'!) v"N\ / 6ak

ffi z*'zx'*svt:o4v"J :TiSuroxl

zxO r?W1o

f"qq1

O,6u{!]

T lacno-l

s'IE*L ,rro$f7?Ai\ u.nytal

fi1rpza-r6

'e +l+ a+

,, i4 i +'a "r- n

..rrq1y-e* @LL u5>!'s!c?C. €,A,a. ?t4+ s1

sptaao-r,{ Soq+ '4uq1'9D6['o Pasn fi1t]oururoc ( 'a'& V

" frr' *tW frnfouomo+"d4roo s3 JP s 'or'op 5 t-lruto-tt

@4 ^zo-Lslc?,.p +s"N'o,{rs ?q+ Eclp?q* '6o-r'at'raB u1

(V *+ tala1)'r* ;1ffiG 2qJ- ;s2ffiI-Y

j n +p1 s? ?uQ cplL{or +nq { FlPzrroc-1o4^op 6cr:<-rto-.t ?tfr F{ iss"'o1e 5@4 t{4o8,

7 sak

Turr+

"S9'l>'r s[,,\oN\

iz/r ) rr flL=/t ) t1 srs.

oN\ :n\ /-n, I atrt >-zx. ,y l.

"*\+

/nt'+

Auag,T;zx sr\ oN\

{r

,/**jz4 ilX sT

t@

co't) @ffi

:1 oLL

( o'o)++ (t ,o7

* (z ,a)

€a4*px3

cl'l)(z'rS +

I 4ra s4O$oG

.+" Bq,cqr- aY\& 6uU{ll4s {o.Zh p\or1s?,r-q+ zsx) '1 arn5r,at

frptrc'(t 't) '(l'o)'(o'o) :s1u3-o{ ^o+oP, lrrnfon ocflr fo l,2\PPttt' 29t Lt)u ?\otls"'1qt ^o

,uDlssTrfslp zrcw 'e6,ro"fe 4 rt4s aor,

?Po5C % '8a

ogyl '.'rro:.1 *74JO2 "V'.Srffi

'"P\41

-crr4-t+ =4r..pr-&. *T,.H J-'\ 'D +?xeLot + # 4L?W '(<zqo1

?uo 6l.oo fo ^o+oP 'o.-{ '' v) "tt4 s? zN \D 9p f o 6'*u j1

( +1& ^p..q* ^'J) ( *'r* qcrqc, rof '\,n I.r 'D+oP \\Y ) \ A ql e{oP l* )

\r/**

: s'.,9 rz\ F{rpotrf (a)

p"qrcrsap ?q -t) ,,a\ntl,6u1p.r.oc,oo er.ro(, 'N 40,.1Hd5, o+ tplqa^ 6u'aPpu,o $ ,,.tt+or! Y l?ld, G)2pott, amd uut 6u.o >Pf5 (O)

\ of.( \

'6a9op 5-u1u.ro-r.1 ag1 $o ffisp o.t sP,ro4s?r,r-o)

u{+leo65o aq1 u1 ?pota or6rpJ

(-+ot6qr+{}l"l5, o.t

^Dlrop ?tF+ p logs-z,-u\!

n a1dr56ntrr ql.asrv

llaS., ?PoN

t-5aocol \slupd ^o$cnp \

.Epo1 arrrffil I

'+oo., €Dza?o,J,

s} 40+DP

,*.drul ue sl 2-L* ?l?t1lo 't6u1u5oq z1o!M 'F"6po31u1

' T

:uj,tfl:("loblv €,4L

aLY-t&?81d,

f;''"1/,,^ -1

q 'u4_l\ oN\

l-h ) q,, sr : 1r,

'z* astP>! tt e4-, -dw ( '* 4\ 4s q ) zr+ P loLt'a-*+l

o ,{D }P2 ad

"so44-S 'n

\ oN\

(o ,p+ota^bq F', q+og) o*yl&

' (zn-S <.r.o3fra1as mrq+)'ar-n{,.r,t1

iah ) r''4 sI : ?oo t!(.r-aop rrj +rl4s

"q "l) arnclcul

g 'o t+,r?.od -+-O g z 7n

5ah

Z/l p loy saLg+ ' t><, >{c.r4 ovt zs.4d.S(P','q'u) :+oo&

(p'r'q'u) soy -{-oot I ft1^6o31)u1P

'9

'(o '(o't) )'(o '1t 'o) )?n

(o '(t 't) )' (l' (o 'o) )

v

4'v I Tw

/*u

:rD4D? bulLllo&I : alCr-trox3

(o = oBo; .o +oW

xd.6"l ,d^rD3q2 {.I9) ?tfr 6'f1:,1o5f )zd,6olt4,- t{6o1 14- = (X)rt

;rp ?aLt.4rp sl (XlH Fg Pa+ow"?'X f,c 6{o-qua r,aagl'2d.,.. ,t* 5,a?+3.1 r.+ogor.{, r{+$o >n ' " e lN

TrnfDA sa\fl -TOW a\topro6 .1ttogttrr.,t, rc -a1 X Ft :7to^+r€

EW ?T6[0" 'fitoztg'cto;rgocrt-qf ur d1 {D3{o1.1, p g$no-r,.11_ j Bt"rgtxiDurn aL:{\sv?u,L a+ Oofl

'4rsou ?t*

\wtaogtjr,rrr E?,"'nnp"..t 41oql zL<D ?soorl'J ?cn t ta*L dDssloa( Zai all

i apou, "o 4:{4s o4 r6elqsl6*r, ?loclsa,-L{+ pr{,^o ar-n5o,z$ ^o 6oocP et cnoH ffi

()Ttul,v

O Xrlgar'5\

"N\

\/

salv

T rt tc Wz*S

saA/' 2rrop ?r--o ?cn oS

& & oteo

,+ulod slLllsaPoL{, \lv

57 :7a Aah ) zx

lZ*A>'x =t 'wJr6J

' '/T

'4 'wS,r U.LnQr ))Coq,

'r'4s-tjnD)a ?irt\aN ,$J'lrD ^raqcrt 6\* p2'^clqP.I,

s-,ril- '21 Bo1 7 (x)tt 'fl-rn-PN , ,::* x' Jr

sD 'o ; 14.6o1 2L"!@ ' l4'5o1 '+ f - = (X)tt

[ 6.{04, ' (tF"coro ) o'< (x)Y

'f,rntrpn €u-tts-uP $t saSlll$oq o^'Q 2W \)o Gt*vTn-r.foA -rp.o)<a or-1+ :Jo p t"4'V +au saoP (X)+t ' 1

.EL

'e

'y Bq uzDfpt

' F4"r{* oW rl rac1.6.ru1 'z,/-tr 4, cl sr (o --x) *5 &zsol? ( l "t' -t lo }4

'q Bol = 1'"f ? '?s'r ?- ?t"l? -4s"t*

.4'..u >l (" 'V'T 7fl,l^toN salfo+ ^-Pltlol 'n'J.,

o = oBnlo-15o1-t-'o- T4' 'a=

' o = (t.-X)*5 ''n ''L l lo " X' 'V

('suo:6o rr',[o, "szq+qf .<t*r-p-',-o-psol [D-,fo(, Qo{t ?st 'F1pts6 ) b9'o z'

z 6olw -- i ,"1,i - =T$ol+ - = r{6o1 t{ -od, 6ol o$ - = (x)tt

ah = (t =*) u, = t4'

zh=(o=X)rd =od %z/r = (t= X) ad, ' ( n '*) e1 to?'ro 'uro?ul?'L -f /o " >+ ' 1

\o

= (x)+t

sl y.'V-a t9ttol,

>l'/rfJorA a

: tarr6o1, bl9o4u1 2 uros

ee,g, 'Zval€ = o'T+Zbol'Z =

o= o6ola-T5o11/Bo1 = '46otz4 - th 6q zh -

-t =x) tao =X) *a,

t =X) )rbo =x) od,

(z lx)tt :oS

= 6=z\ x)r{= (o = Zlx)t

'. 1=Zl*o = (" =z-F = (t =Z

Zh=(o=Zzrt = (o=t.

"e.rv -fu ato1ar.q gLls3f

= (T =tl* =*) t&

: e =ZlxTouo?lll?lr.oD , os

(*z'x-=N) 4,e/z

(o =U '2. =>() Ld,= (o =Z\*=X)nd,,a-, 6uuo aol &*A,

',& ? = (o= Z)Ld,

i 2,X., fo ,trg--rfl"g lr+slq- +rrgJ.

GW. (Zooul zcry {o*l ,,or.O"U&+* aBoralro '61al3tn+ul)

xfo z(z = Zlx)x (a=z) d,Z z- (e 1x p

: sro pa ullap sJ

F4or1.rz \olr.oH rptro? 2t1L '5'A'& olo+ ?7 Z ')L +"1

€h

Cgr\

T = lT=z)

0zan

ea

eTo

1o*

7 uzr.pD K fof4'"+,-g 1ouo3tl,?uo,

€6ol + . ks(t = zlx,)u 6 =a1 *d,, + (o = zl

68o1 =

z Bot$ -eB.; = 4s.,+ - 2u",

€/-r = G =z lz=y.) *6€/-c = (, =zlt = x,) 4,€/v = (t = z lo =x,) Ldt

',2 uapfi'X,, tro

=

\{.

ptr Z,6oli - gSol

"t€ -e8"r) *x) +t (o=z) *d,

zo €.Tool T'g-=eZ - o6ole- =

€/-r = (, =Z€/z = (o=ZoA = (o=Z

srrD3pnq lqs Pp

x,) +t

(r=z(o=z

x,)+1

lx)r

z =x,) ^a,'r = x,) *d,

1o= *) "d,for.rr3{}P ueE

hh=t/s =

C =z) *a(o = z) *a,

tvo:rtfig-1r{sry +u to!

zt/-rz/,zt/v-F

t/tzhoo

7,1,0N,z-1laffi]

(r$""fr) e /1 s). (pr) ynoB 4rostoou*$rt rrotlt qeool s acl \)'toc +l'(U cyr,oq)1 ?gt,

"srr.Df,aq prrnrrnpar. qr X fo E{or1tra qPflw g1o9 tft;6oguzs9)

GIX))I 4 (X)g = (z)"-tpe ^'l>3+\our^-J*r

(x)t = (* =z) pa,K (r)*-, = (*=z[r)+t (z=z) "aZ = (elx)+t

(x)y= (e=zlx)+t .os

'f, vo .lorqnlHsry au-c'os 2W 6hpo*, set\ Z = 1 | >( '"'t'(x =X,,) tb o{ to"r"ba s}

( y pttao Z Eu^D --"5 (Z = ,1pt,r-yvrzrpurz4z.e rnry "t\o Z | * qaqls

i, (Zl x)+f st €L{cr}, 'grrpu24r? r'. a,Lp Z,/, zso{d.ng .g

( iaB-ool Eo^ st (r)tr +" *: ?lo.-1 6ow srql)'o = o '(z =Z) '-e Z = (Z\X)+t '-.-lL

'o= (z=ZlX)t1 ,oS

T 'C'o, Z = X, foL.l+ crror\>1 ogy 'Z =Z }oLft rrzr?rD 'eooMZ,

' (z = ZlX,)++ (e= Z) na Z ?- (Zlx)tra (Zl$g sr -iFotty '*,=>d r,oc.Ans 'T

//&@3,,J,&q*

L.,- t *n Lzo"tz -?oolj - =( r)t 'os

t = tr =Y-) na,' ; =(o = >c)'o : 4,t1pr!

'N',Jr p 2q Ptrnoc'r * 6*a?t-'o{sr^ro, a<4 & '"t1L.T y?qpl ,g^f$ry Z 'O 1.rTol 4H1IVI slursel I S\D,.1 N o?a1, '.9 aSo{{rT S ' *

;@

(n* *ffrr,lu^ d

'+> t oYalPzt "-P?clc'l.o5 s1.-rr-d P{o? 'st'+t

6crot'r'ro

Ar {o ttrrctrol {o '<pr$nq$ls}P i -t --ZIX

+ 4.{ o-r,Pa! q lqc'? tots1uro4 ^ofop zsocl-1 6r-lot'tlo N 4

1 ,o5 of 9) s[aofol fo uo3rnq'143tP i Q =Z lXsaTo+ t+ Plogs2rr4+ gu.ro f z*raoz! N o+ s?lreQ*r;-,oc Z (Pp3

( r r"Tol € 'o rrolol "^\ot'l stu'o4 ^ofoP * 'B'').yapout p Frps t ogow rc +o spqigl $o arolfnqg+slP : X' 'o+l

'(zlr)u (r)+r = (z)or',aanoBzrD !1€:&J-DJ:' qP s?tr-l1uul)nou{'

,'p?qan Plorls?r-g+ ?u.ro a*'naoa! oql wi4 a$ ""\md' E'qH \4g2

(r = +lx)+t (r= z) "a-.(

1t. tl- tt- - t t t-4 -

(rc qlo f ott/L+ \tD

qupC *, ra+o+ a%

gt -0 =(o=zlr)r b--z).na= (Zl>o)u :os/l- l- - u-

) tls = (t=z) \., i?,ro

tlv = (o = z)n+ ;oslV

+at

wr

.r t/'rr s so

zy ff l.tvt, Y-fe qrr.o Z t.'9)

=x) L& 'I's o 'F"tol f

(z)U)

' (+" q. {a E.T >

)-L-?Eor ;_=(x,)+r

Pt tr '"fulo{ -o+op-, Pcr.ol Y 'o Pcrol s $oY N ,og

o .tu ?Po.{, .o lFo "o{op z,B ulusorl aql sceoqa arrr6g t*44tS

T.

toe

+,^ Lzwtz

On

o-,ooo0

ao

1,r",+ - *n"rtt- = (r--zlr)rrlo=*)*Asoa{ t , Z\*

' o = o5o1o - 16olT - = (o =z lx)tt 'os

' sT rrq.o 1 o

s.l > Iv,s.I /< t,4

7* )'z Bu.,./p

Slz=eT=2ft=Y-)*d- 'Sle = (t=Z's,T @Io|c Pu't) q,o tra$ol ?,

rt t, a --Zof =p*4*r1o, o=Z zsod$r,S

+rl4s o+ a4rtr p ^tr,oo1 ?crv ,so d{ng

+ 19 arnfaeC

= (o=Zlo=x)nd,,soLl O=Zl>C '*r..lL

0

r\. ";'I

Gp* ,roa)Q .F3P2L&

( r,T fvqol Z 't, O f, $ol g )(r Z'oS) 'F11o''11u1

.(e) '(r) '(q) '(p) vvrt+ T[oD'B*ro 1g{s q s'r'oC

(p\".lrar.t1+ 6rnfo2$ ) a1q Psso{ }r

g-+aB q (q) {a'zlzs "d^d ?"r" tql- 'oS

b€.o = (z\x)+t

(v o 'a s) : Q t 'o t) i:ryTns"?L

se'a -- (zlx)tr(ta'o o) : ?r a 'o s) is'{Ftrns?t} r(c)

tr.o = (z1x7s

(t t'e r) f (r a 'o Y) :s{rns2tl') '(1)th.e = (elx)+r

G6'0e) 1(l O oo1ry-) i6{fnsat,,'(e)

,(O

+ lyu ,2an1oa;tz 'l ,o

o'o(q)--' -6 -r -o

ota

0

T, ZA

z't ./ (;) t'> t

3 sJu

qa4 ?q{

'bg 'o-=rtu?-'o E)a

= r*rn: ft6'og 'y

1

TPt-Pz*6O.tP lf "^d.,

Teq f>lre) /asg)Bc.r zg"',{ s*g? 4 "+t

Grteil(t(t r 'a 1 ) ' (r

' (q) F u,o (')

O 4r9el6T Pry"td,

oNSalrv

s.rL++ rr1 'O - Dt Jt u?|,?

+,u P [nocls o@ t -tot\? Coolt

be .e = (zlx)rT ,o I) I Trnstl : (q) rqj

be'o = (z\x)+t1 'o T) : lrmsau : (\o) PJ:+el4s o+ sRo- a$tssod C

ao Zi b"l7(1 r

a$v =

'wlo o rlr,4 s3, -{r3i tPuo? ?LFztr"lgr 'F ? {)3qs, "lqolr\o^/ J

[email protected]),rp q! uno sur>>uL s? ( .) f J

-.tDtt-a ?rut ",6.oor{$O ?foouls-t-or-ra) 6u1uya-q /roqop ?tDtn- "-f+r.srt '*'$1ssop P"xS a aJ

Q. v C6'*)(k f 6)Y) na = @)xa: rcr$rssop 'P lo a*o onl.1

(?fr I Gx)y ) r'#,+ = (r) aa;.raf$ tss,o P rc fo .ts.tt:? 6<-r1u1er,J-

'A4uD4$ sa1{<-raos ,t6o + aolpp +sz+ 'u1-op 6u1ufor.1_'(.t^D3fnqqs3? ,1'n+ EuS.Fpapvrn 21,rr{5 <.uor$ sa("tls) ^o{oc,

i 6u3-9.{rz,,.g q pqM

'rOSoP 6u1u.ru-r1 et7q 1t4 r-z .lro Foirs?Cn r.f,?+1 /a-*>d ?to SaPot4 "trfo <l?qcn

s4o{s +oY+ Tar+ <rq}stD"p to plPq aw 5L',1o1,.o\2 Fsrow

A4'DS ,r-D .L?3Ffng <,r"to al fuUL O olL

i$r^o Fro',t*

n tzlc", 4o{5"ff e s?t41 +\19,

ooo

ooCJ

xxx*xoxxXxxx

401pP ?qo?o1D F.rzt-; , fo16, Eurddots

e"6r?J,)_ ^l.o"lsle76, W 66rI

urvXJ

'dnq aT

'N ?q,o1* /./Prrlg a!/ 91 2),1-14 ?11"t qYl\l?4\'o)

, L @4 {aB q 1t 4l a6z\ol fuuoFot"r,, A *a'4,d,L* apotl' at6u15 hg N P ?atoo-r', a'4Tts 'alo1dz5,,

:Lw N ??oa 'c'poa n)

"p>4u6i A 6u151 o<trt'&

srras Bu1'1o'1 6utsn L@ry €47- elln&.N ryS

.4(o]-t^op ygoA g!!,o 5 -{?s 6tr1u1'or1 qYrr {){f)1 'w 6clpcrro4 ?q +\4s

'x?solroxc 4'D3+Op'rTOA p 6*ttn 6>4 a<+ 6ulte'ctr( 6g -

o"G-5 FrA, LwzLL'"to+s P2<

'arfflssorp no qY '[-,.?o'rl *o<t ?T no c'ls ?o,l

^,fJ tqa, r<,tctr o :l l fo -axnf'JTtr{S "otJ)ou[)'" ?\o'os 2l'9Y fitre cu' -fn9

,zt-n+arrr{s s.rr4t {o ?ulrs sa,cn1{sp ^ofoP 6U1ulv1g 'zcTl++oa o+ ?Ifd

fTnoco2Cr,.,Plq(nf254lnr1scu}rtSs^oq^r,o3{o9(,1151-P.o+op?,rtJtl 'as.rool az6 Fotrr' ?u/D

s{o4s tDrv> 'fn+'+.:-o4 ?urDs 1V 'fifi"r.?P t'otMa

Pu,r2 2rDr4 't',"4 "91 ?>r9w "crv sv rpa.ro>:t t0,".o aloul

z,€

''l

6u"no-r,{urt5 u 1u yorl

o>4 <re],9P-/e Ya s>Pou +6u1up[

'.^,rrqw sun{.foq 6*H *';ang

'aa2-l:z

-LtZ)Q

' 1CrfDP <.peso??rc qErnotp ?/so(.1 ?cfi g''q3.to^'d

{ro3fo?f.I-o^ ?W utr 927>a\!zt ?q Ta-trru slLl-l-'?SJ-DCn lPg

fuu* f,lr.ro Bu.r,-o t{ta17 t{ot" )r,L'L? afi1 rlurocl ouDS' 4y'*?osr,sa? t'ot'e 6u1r.rp4 rpa5oo:u\{trroc ,),,t'lt'/ s,,ol6 @* 9{

r>4 ur,,'.s)atP Yt E?^Pou+

t-c.JJ1 6 u.ru1u.r-1_

.lo*I3

* n*ar5s>k:n

4Dqof.-Coly U-\*^r3 *rrJ-u

)c f3f "!d-,o +)!PLd,52k-

. bu 1u.or"O f+t y1,

'N +o )(, 6r3fcrt?L+ 4/Uoq1

Jorr,2r 4-rD]+loPgoTr, ra.16f t1 ?^oq fl$ryN 4P P2{oar, @+.Tf,s ?q 4?W 'ran-L7

.'t'O V ^/Yv>(nP1 y" {u?-o4 g "Lpt jf

O \ttVzl5

/-Ptgzt'5

xxxxxx "^\ ,7 nr \./

,| toizx srl:r1&r*wx1

"'ToE @1{qru"r"p$ut ""tq saz}u.lrxuu& -{foq1 -rr'o{ -d-{1- >Pld *(z [z)+t (x)u = er

y,rm5 4lo "rro.rl*oj*f 1nnduuo, *

,aApg ?pou Vtq. q-3crr,

" ( CA")s ra (rn)S Joil-D"r> yva^$ n *J-"w

(rn)s \ ('')s = (.r)s(n)S fo *-sq.6 = ( rn)S

(r",)s E]

.nv14a6

^o puU

E ? l?q h11,,

Fnou r*lzPou_ wv1

"-F

JI,

'* *

,,4 S'flloqs"arr-rfl- 'S sa-r-xtgoa;f fo s.rrv{ .T[o rp3 ']

irlmE Eu?q ll{S

r?s3{ +.,N 'orrn{u.r1 . *.$21 ?urr2s ,,t'

Pr+rlDoss, s{uto4 0+or nro ;?poL{ ,, ?rrd. o

yp {o trrryl '"afl sfr3rp"r4 *oq) ?poqr"To*rr, 1,r*.r{ _ "rxo \1 to h afip Jf

+ > "i,fr

(=r) s

.f" Jq 0n *qf

rqs"k( )1)S

:4,11$Y1, Y',l

,, i 4 > sK 5I,,',s.4 'anxdr frog '?r .^41 ?ln.r, G.U ttd,';wJ* 4.u2J"on" DL& $onj.oa1 ,. arn$<g1\ rfi?

, q>s 6ururur+ x1r1p z (1oo*) g ,. qoo.r, &,

(r") s ras 6ut urr,* $o tlsol^ns .o s?q i /\)

c+> f)c sT.'.!

.,tt?ls,l??G ,y^nu 3 ( edL ) <ttty|yo6ty 4/o?{"r1qsuo, q"^L