Project 4 Final Paper

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    G[E]H SHY@]@E UP]MKD@

    ]hm`}u Fdhyjuhd

    Okf` Okjj`}

    M}`uu Ih}ehd

    On{ 5* =3>3

    U`no =E

    @w`bpuk|` Rpoon}{Hp} e`rkid u`no ynr s}`r`du`e ykug ug` unrf hl b}`nukdi nd nuunbgo`du uh nd `|`}{en{ lnpb`u ugnu

    yhpje b}`nu` `j`bu}kb shy`} m{ s}hs`jjkdi n up}mkd`$ Ykug ug` ik|`d bpruho`} kdspu nde hp}

    lkdekdir ep}kdi hp} `wu`}dnj r`n}bg* hp} u`no bno` ps ykug r`|`}nj kdkuknj e`rkid ke`nr ugnu y`}`

    kdu}hepb`e uh ug` i}hps$ Nlu`} b}kuk~pkdi ug`r` e`rkidr nde rbh}kdi ug`o ninkdru y`kigu`e

    b}ku`}kn* y` bghr` ug` m`ru hd` ygkbg bhdunkd`e n gh}kqhdunj up}mkd` nde ohuh} ygkbg yhpje

    shy`} n ekikunj bjhbf ugnu kr nuunbg`e uh ug` ghprkdi$ Ug` bjhbf ykjj m` mpkju kduh ug` ghprkdi nde

    r`jl bhdunkd`e l}ho ug` ynu`}$ Ykug ugkr r{ru`o e`rkid bhdb`su r`j`bu`e* y` ug`d s}hb``e`e uh

    s`}lh}o l`nrkmkjku{ bnjbpjnukhdr nde `bhdhokb ndnj{rkr u`rur uh r`` kl ugkr e`rkid yhpje m`

    shrrkmj`$ Ykug hp} lkdekdir* ugkr e`rkid bhdb`su kr dhu hdj{ shrrkmj{* mpu ku kr njrh s}hlkunmj`$ Hp}

    e`rkid kr nmj` uh s}hepb` nss}hwkonu`j{ $0 Y ygkj` ug` s}hepbu kr }pddkdi$ Ug` s}hepbu ykjj bhru

    nmhpu %=5 uh s}hepb` nde m` }`unkj`e lh} %57$

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    =

    Unmj` hl Bhdu`dur

    @w`bpuk|` Rpoon}{ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ >

    >$ Kdu}hepbukhd $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ 2>$>$S}hmj`o Runu`o`du $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ 2>$=$Mnbfi}hpde$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ 2>$2$S}ha`bu Sjnddkdi $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ 2

    =$ Bpruho`} D``e Nrr`rro`du $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ 2=$>$Bpruho`} d``er $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ 2=$=$Rs`bklkbnukhdr$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ 5

    2$ Bhdb`su E`|`jhso`du $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ 52$>$@wu`}dnj R`n}bg $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ 52$=$S}hmj`o E`bhoshrkukhd $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ 02$2$Ke`nukhd O`ugher $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ 02$5$E`rkid Bhdb`sur $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $Nuunbgo`du Bhdb`sur $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $R{ru`o S`}lh}ondb` S}`ekbukhdr $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ ;0$=$Onu`}knj nde Onu`}knj R`j`bukhd S}hb`rr $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ ;0$2$Bhoshd`du nde Bhoshd`du R`j`bukhd S}hb`rr $$$$$$$$$$$$$$$$$$$$$$$$$$$$ ;0$5$Onu`}knjr nde Lnm}kbnukhd S}hb`rr $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ >30$0$Ekll`}`db`r m`uy``d S}huhu{s` nde S}hepbukhd Ohe`j $$$$$$$$$$$$$$$ >30$3

    39$ @bhdhokb Ndnj{rkr $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ >>7$ U`ru ]`rpjur nde Ekrbprrkhd $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ >>;$ Bhdbjprkhd nde ]`bhoo`denukhdr $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ >=>3$Nss`dekb`r $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ >2

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    >$ Kdu}hepbukhd

    >$> S}hmj`o Runu`o`du

    Ug` s}hmj`o ugnu ynr s}`r`du`e uh pr kr uh e`|`jhs nde `bhdhokbnjj{ |knmj` s}huhu{s` hl n g{e}h

    shy`}`e r{ru`o ugnu bnd m` nuunbg`e uh n gho` lnpb`u$ Ugkr g{e}h shy`}`e r{ru`o ykjj s}hepb`

    `j`bu}kbnj `d`}i{ l}ho ug` ljhykdi ynu`} ugnu bnd m` pr`e uh shy`} ps nd nbb`rrh}{ nuunbg`e uhug` r{ru`o$ Ug` nbb`rrh}{ ykjj m` n ekikunj bjhbf ugnu kr mpkju kduh ug` ghprkdi pdku$ Ug` `d`}i{

    s}hepb`e m{ ug` up}mkd` ykjj m` oh}` ugnd nmj` uh shy`} ugkr bjhbf$ Njhdi ykug e`|`jhskdi n

    s}huhu{s` hl ug`r` ku`or* ug` s}huhu{s` kur`jl opru m` kd`ws`drk|`* `nr{ uh pr`* nuu}nbuk|`* nde

    `llkbk`du$ Ykug njj hl ug`r` lnbuh}r uh bhdrke`}* hp} i}hps sjndr uh mpkje n yh}fkdi s}huhu{s` ugnu

    h|`}bho`r njj hl ug`r` mn}}k`}r$

    >$= Mnbfi}hpde

    I}hps =E }pdr n bhosnd{ ugnu rs`bknjkq`e kd ynu`} up}mkd`r lh} okb}h/g{e}h shy`} r{ru`or lh}

    }`rke`duknj gho`r* ln}o`}r* nde }ndbg`}r$ Hp} bhosnd{ jhhfr uhyn}e ug` lpup}` yg`d ku bho`r uh`d`}i{ rpssjk`r m{ prkdi }`d`ynmj` }`rhp}b`r rpbg nr ynu`} uh shy`} hp} r{ru`or$ Nju`}dnuk|`

    lh}or hl `d`}i{ nde shy`} n}` bp}}`duj{ inkdkdi shspjn}ku{ kd hp} bhpdu{$ Prkdi }`d`ynmj`

    g{e}h`j`bu}kb shy`} kr hd` rpbg nju`}dnuk|` rhp}b`$ Ug` un}i`u on}f`u ugnu ykjj m`bho` hp}

    mkii`ru bhdrpo`}r ykjj m` gho`hyd`}r ugnu jk|` kd ug` bku{ h} rpmp}mr nde }p}nj ln}o`}r nde

    }ndbg`}r ygh jk|` ln} l}ho shy`} jkd`r nde yhpje jkf` uh s}hepb` ug`k} hyd shy`} rpssj{$ Ugkr

    on}f`u ykjj mp{ kduh ug` s}hepbu m`bnpr` ku ykjj njjhy ug`o uh shy`} n bjhbf ykughpu hpurke`

    `d`}i{$

    >$2 S}ha`bu Sjnddkdi

    Bhokdi ps ykug n lpdbukhdnj s}ha`bu sjnd ynr ug`d lk}ru ru`s$ Y` pr`e ug` `dikd``}kdi e`rkid

    o`ughe kd ygkbg y` pr` < ru`sr1 sjnddkdi* bhdb`su e`|`jhso`du* r{ru`o j`|`j e`rkid* e`unkj

    e`rkid* u`rukdi* nde s}hepbukhd }nos ps$ Hp} u`no b}`nu`e n rbg`epj` lh} ug` d`wu ohdug nde n

    gnjl nde ku e`unkjr s}ha`bu ru`s e`nejkd`r nde okj`ruhd`r$ Ugkr ik|`r pr n uko` unmj` lh} hp} u`no

    uh yh}f ykugkd$ @|`}{ o`om`} kd hp} i}hps kr }`rshdrkmj` lh} `nbg hl ug`k} e`rkidnu`e unrfr ykug

    ug` hug`} o`om`}r ug`}` lh} rpssh}u$ Ug` unrfr ykjj m` ekrbprr`e nde e`j`inu`e hpu uh ug`

    kdek|kepnj i}hps o`om`}r ep}kdi hp} y``fj{ o``ukdi ygkbg njjhyr ug` u`no uh }pd nu hsukonj

    `llkbk`db{$ Ykug ug` s}ha bu sjnd kd sjnb` nde ug` s}`e`u`}okd`e e`nejkd` r`u* hp} i}hps sjndr uh

    gn|` n yh}fkdi s}huhu{s` ps nde }pddkdi ykugkd n ohdug ugnu ykjj sj`nr` hp} s}hrs`buk|`

    bpruho`}r$

    =$ Bpruho`} D``er nde Rs`bklkbnukhdr=$> Bpruho`} D``erKu ynr e`u`}okd`e ng`ne hl uko` ugnu ug` bpruho`}r yndu`e gkig s`}lh}ondb`* jhy bhru*n`rug`ukbnj nss`nj* ynu`} ekrbgn}i` uh m` |`}ukbnjj{ ehydyn}e nde `nr{ nuunbgo`du$Njhdi ykug ughr`* ug`{ njrh yhpje jkf` ug` uhunj j`diug hl ug` e`|kb` uh m` okdkonj 'pde`} 5kdbg`r+* ug` e`|kb` uh m` r`jl/bhdunkd`e* ug` hpuj`u hl ug` s}hepbu uh u`}okdnu` kd n runden}e

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    Lkip}` >1 NGS }`rpjur

    kdu`}dnj sks` ug}`ne* ug` e`|kb` uh lpdbukhd }`jknmj{* nde ug`nmkjku{ uh r`` ug` kdu`}dnj yh}fkdir$ Ug` }`rpjur l}ho nd NGS*rghyd kd Lkip}` >* e`u`}okd`e ugnu ug` ohru kosh}undu d``ery`}` ug` `nr` hl nuunbgo`du* s`}lh}ondb`* nde bhru$ Ug` lpjj

    NGS bnd m` lhpde kd Nss`dekw B$

    =$= Rs`bklkbnukhdrNlu`} }`b`k|kdi ug` bpruho`} d``er* `dikd``}kdirs`bklkbnukhdr y`}` e`|`jhs`e$ Ug` rs`bklkbnukhdr n}`1shy`} i`d`}nukhd* `llkbk`db{* bhru* kdepru}knj e`rkid*bhosnukmj` ug}`ner* |`}ukbnj g`kigu* ynu`} bhdu}hj* bh}}hrkhd}`rkrundb`* nde ghprkdi u}ndrsn}`db{$ Ug` lnpb`u shy`}`ei`d`}nuh} opru i`d`}nu` nu j`nru >$0 |hjur h|`} n >3 hgo}`rkruh}$ Ugkr s}hepbu opru dhu bhru kd `wb`rr hl %03$Bhos`ukuk|` s}hepbur bhru hdj{ %53$ Bhdrpo`}r opru lkde ugkr e`rkid nss`njkdi rh nd kdepru}knj

    e`rkid kr }`~pk}`e lh} ug` e`rkid$ Ugkr e`|kb` opru m` dh jn}i`} ugnd 5 kdbg`r kd |`}ukbnj g`kigunde ug` e`rkid opru m` nr bh}}hrkhd }`rkrundu nr shrrkmj` m`bnpr` ug` e`rkid ykjj m` kd n y`u`d|k}hdo`du$ Ug` `dikd``}kdi rs`bklkbnukhdr y`}` }`jnu`e uh ug` bpruho`} d``er kd n ^LE rghydkd Lkip}` =$

    2$ Bhdb`su E`|`jhso`du2$> @wu`}dnj R`n}bgUg` `wu`}dnj r`n}bg }`|`nj`e n rkokjn} bhdb`su1 ug` R{j|ndkn @BHjkigu$ Ugkr s}hepbu nuunbg`r uh nrghy`} g`ne nde shy`}r n J@E jkigu V}`l >_$ Ug` @BHjkigu njjhyr ynu`} uh snrr ug}hpig nup}mkd` ygkbg ykjj }hunu` n i`d`}nuh} nde shy`} ug` J@E jkigu$ Ug` s}hepbu njrh gnr ynu`}

    Bhdrpo`} D``e Y`kigu

    Gkig S`}lh}ondb` >7$33

    Jhy Bhru >5

    @nr{ Nuunbgo`du =2$3$>$33

    @dikd``}kdi Rs`bklkbnukhdr

    Bpruho`} D``er

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    Gkig S`}lh}ondb` w w w

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    N`rug`ukbnjj{ Sj`nrkdi w

    @nr{ Nuunbgo`du w w w

    \`}ukbnj Ekrbgn}i` w w

    Ronjj Rkq` w w

    R`jl Bhdunkd`e w w w

    ]`jknmj`(@dep}ndb` w w

    S}hb`rr \krpnjkqnukhd w

    Pdkur Ynuur % D(N Ini` kd$ kd2(rOnu`}knj

    R`j`bukhd

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    Lkip}` =1 ^LE

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    u`os`}nup}` kdekbnuh} jkigur ygkbg ykjj nss`n} mjp` kl ug` ynu`} kr bhje h} }`e kl ug` ynu`} kr ghu$Ugkr s}hepbu kr }`jnuk|`j{ ronjj6 o`nrp}kdi nmhpu =5 bpmkb kdbg`r$

    N lnpb`u i`d`}nuh} snu`du ynr njrh ekrbh|`}`e$ PR Snu`du dpom`} 9>2 ynr krrp`e Ns}kj 2* =33> lh} n ynu`} yg``j up}mkd` lh} sposkdi runukhdrV}`l 2_$ Ugkr snu`du kr e`rkid lh} jn}i`} rbnj`r mpu ug` bhdb`su bnd rukjj m` pr`e lh} ronjj rbnj`nssjkbnukhdr$ Ug` e`rkid njjhyr ug` ljhy hl ynu`} uh }hunu` ug` up}mkd` nde i`d`}nu` shy`}$ Ug`ynu`} ljhyr kduh mpbf`ur ygkbg n}` bjhr`e m{ n rs}n{ hl ynu`}$ Ug` mpbf`ur n}` ug`d hs`d`e nuug` mhuuho hl ug` yg``j m{ ug` lh}b` hl ug` ynu`}$

    Nu ug` run}u hl ug` s}ha`bu* n up}mh onbgkd`}{ bgnsu`} hd g{e}npjkb up}mkd`r ynr s}h|ke`e V}`l 5_$

    Ug` bgnsu`} kdu}hepb`e ug}`` mnrkb up}mkd` e`rkidr ygkbg n}` ug` S`juhd* L}ndbkr* nde Fnsjndup}mkd`r$ Ug` S`juhd e`rkid kr |`}{ rkokjn} uh ynu`} yg``jr$ Ug` up}mkd` e`rkid gne bps rgns`emjne`r ugnu yhpje bhjj`bu ug` `d`}i{$ Ug` rgnlu yhpje m` bhosj`u`j{ gh}kqhdunj rh ug` e`rkidyhpje m` pr`e hd }k|`}r h} ru}`nor$ Ug` L}ndbkr up}mkd` e`rkid gnr bp}|`e mjne`r ugnu bhjj`bu ug`lh}b` hl ug` ynu`}$ Ugkr e`rkid gnr n ljnu mhuuho ykug mjne`r ugnu `wu}pe` ps$ Ugkr e`rkid kr |`}{rkokjn} uh ug` @BHjkigu up}mkd` e`rkid$ Ug` Fnsjnd up}mkd` e`rkid kr |`}{ rkokjn} uh mhnus}hs`jj`}$ Ugkr e`rkid kr ugkbf`ru nu ug` uhs hl ug` up}mkd`* yg`}` ug` kosnbu lh}b` hl ug` ynu`}yhpje m` ug` i}`nu`ru$

    Ug` u`no j`n}d`e ugnu ug`}` y`}` ond{ up}mkd` e`rkidr uh bghhr` l}ho$ Ug`}` kr dh rkdij` up}mkd`e`rkid ugnu bnd m` pr`e kd `|`}{ nssjkbnukhd$ Njrh* ykug ug` e`rkid snu`dur ugnu gn|` nj}`ne{ m``d

    krrp`e* ug` u`no on{ gn|` u}hpmj` snu`dukdi hp} e`rkid rkdb` ug` h|`}njj bhdb`su hl i`d`}nukdishy`} l}ho }pddkdi ynu`} eh`r dhu bgndi`$ D`y bjnkor yhpje d``e uh m` e`|`jhs`e rh ugnu y`bhpje }`b`k|` hp} hyd snu`du$

    2$= S}hmj`o E`bhoshrkukhdKd h}e`} uh o``u ug` bpruho`} d``er* ug` u`no ynr nmj` uh m}`nf ehyd ug` s}hmj`o kduh ug}``ronjj`} rpm s}hmj`or$ Ug`r` rpm s}hmj`or n}` ug` kdj`u* ug` up}mkd` e`rkid* nde u}ndrokuukdi`d`}i{ l}ho ug` up}mkd` uh ug` i`d`}nuh}$ @nbg rpm s}hmj`o ynr m}hf`d ehyd kduh e`rkidrs`bklkbnukhdr ugnu ug` e`rkid opru kdbjpe`$ Ug` kdj`u s}hmj`o ynr m}hf`d ehyd kduh bhdd`bukdiuh ug` `wkrukdi lnpb`u* ek}`bukdi ug` ljhy nde kdb}`nrkdi ug` |`jhbku{ hl ynu`} uhyn}er ug` up}mkd`$N jn}i`} |`jhbku{ ykjj kdb}`nr` ug` lh}b` hd ug` up}mkd` mjne`r nde s}h|ke` n i}`nu`} uh}~p`$ Ug`up}mkd` e`rkid opru bhd|`}u fkd`ukb `d`}i{ uh }hunukhdnj `d`}i{ nde ku opru m` nmj` uh u}ndroku ug`uh}~p` uh ug` i`n}r$ Uh u}ndroku ug` `d`}i{* ug` }hunukhdnj rs``e hl ug` i`n}r opru m` kdb}`nr`e uhkdb}`nr` ug` i`d`}nuh} `llkbk`db{$

    2$2 Ke`nukhd O`ugherNlu`} ug` u`no m}hf` ps ug` `duk}` e`rkid kduh rpm s}hmj`or* mnrkb ke`nr y`}` i`d`}nu`e uh rhj|`hp} e`rkid s}hmj`or$ Kd h}e`} uh o``u ug` e`rkid }`~pk}`o`dur lh} ug` kdj`u* ug` u`no lhpde uyhshrrkmj` rhjpukhdr$ N dhqqj` bhpje m` pr`e uh kdb}`nr` ug` |`jhbku{ nde ek}`bu ug` ljhy uhyn}er

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    Nuunbgo`du Bhdb`surYg`d ug` u`no o`u uh ekrbprr nuunbgo`du ke`nr* uyh shrrkmj`e`rkidr y`}` s}hepb`e$ Ug` lk}ru ynr n ekikunj bjhbf$ Ug` shy`}i`d`}nu`e l}ho ug` i`d`}nuh} yhpje shy`} ug` J@E ekrsjn{ ndeug` uko` yhpje m` f`su nde shy`}`e m{ n mnuu`}{$ Ug` mnuu`}{ykjj m` }`sjnb`nmj` nde }`bgn}i`nmj`$ Ug` bjhbf yhpje njrhl`nup}` 5 mpuuhdr ugnu yhpje neapru ug` uko` nde jkigu ps ug` bjhbf$N mnrkb e`rkid lh} ug` bjhbf kr s}h|ke`e kd Lkip}` 2$

    Ug` r`bhde nuunbgo`du e`rkid kr n rhns ekrs`dr`} ugnu yhpjehdj{ ekrs`dr` rhns yg`d ug` bpruho`} s}`rr`e n mpuuhd$ Ug`rhns yhpje m` ruh}`e m`jhy ug` i`d`}nuh} kd n undf$ Ugkr undf yhpje ruh}` nmhpu ug` rno`nohpdu hl rhns nr n ronjj mhuuj` hl jk~pke rhns$ Ugkr e`rkid yhpje }`~pk}` n ronjj spos uhekrs`dr` ug` rhns ugnu on{ }`~pk}` oh}` shy`} ugnu bnd m` rpssjk`e$

    2$5$= Up}mkd` Bhdb`surYg`d ug` bhdb`su e`|`jhso`du o``ukdirykubg`e uh ug` up}mkd` i`d`}nuh} e`rkid*ug}`` e`rkidr y`}` b}`nu`e$ Ug` lk}ru e`rkidl`nup}`r n mnrkb S`juhd up}mkd` e`rkid$ Ndhqqj` yhpje kdb}`nr` ug` rs``e hl ug` ynu`}nde ek}`bu ku uhyn}er ug` up}mkd`$ Nlu`} ug`ynu`} ynr pr`e* ku yhpje ljhy ug}hpig ug`hpuj`u nu ug` mhuuho hl ug` e`rkid$ I`n}r

    yhpje m` nuunbg`e uh ug` mnbf hl ug` up}mkd`ghprkdi nde bhdd`bu uh ug` i`d`}nuh}$ Nrf`ubg hl ug` S`juhd e`rkid kr s}h|ke`e kdLkip}` 5$

    Ug` r`bhde e`rkid kr bnjj`e ug` i`n}r hd uhsnde l`nup}`e n up}mkd` e`rkid rkokjn} uh ug`L}ndbkr up}mkd`$ Ug` kdj`u sks` yhpje m`de nde

    Lkip}` 21 Bjhbf e`rkid

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    9

    n dhqqj` yhpje m` nuunbg`e uh ug` sks` uh ek}`bu ug` ljhy uhyn}er ug` up}mkd` mjne`r$ Ug` ynu`}yhpje ekrbgn}i` pde`} ug` up}mkd` nde hpu ug` sks` nu ug` mhuuho$ I`n}r yhpje m` nuunbg`e uh ug`uhs rke` hl ug` up}mkd` ghprkdi nde bhdd`bu uh ug` i`d`}nuh}$ Ug` i`d`}nuh} yhpje m` sjnb`e|`}ukbnjj{ ep` uh kur ronjj rkq` nde bhdd`bu uh ug` nuunbgo`du$ Ugkr e`rkid kr s}h|ke`e m`jhy kdLkip}` 0$

    Ug` lkdnj e`rkid kr bnjj`e ug` i`n}r m`jhy e`rkid nde l`nup}`e n L}ndbkr h} Fnsjnd up}mkd`$ Ug`kdj`u yhpje gn|` n dhqqj` ugnu ek}`bu`e ug` ljhy mpu eh`r dhu m`de$ Rkokjn} uh ug` r`bhde e`rkidbhdb`su* ug` ynu`} yhpje ekrbgn}i` hpu ug` sks` ygkbg ynr jhbnu`e pde`} ug` up}mkd`$ Ugkr e`rkidnjrh sjnb`e ug` i`n}r m`d`nug ug` up}mkd` ghprkdi nde ug` i`d`}nuh} yhpje m` sjnb`e hd rke` hlug` up}mkd` ghprkdi$ Ugkr e`rkid ynr ug` ohru bhosnbu`e e`rkid hl ug` ug}`` e`rkid bhdb`sur$Ug` i`n}r m`jhy e`rkid kr l`nup}`e kd Lkip}` /0 hd ghy y`jj ug`{ o`u `nbg bpruho`} d``e$ Ug`{y`}` ug`d ik|`d n y`kigu`e rbh}` mnr`e hd ug`k} }nukdi nde ug` y`kigu`e |njp` hl ug` bpruho`}d``er$ Ug` y`kigu`e |njp`r y`}` ug`d rpoo`e lh} n uhunj rbh}`$ @nbg e`rkid bhdb`su ynr ug`dik|`d n }ndfkdi hl >/2$ Ug` e`rkid ykug ug` gkig`ru uhunj rbh}` yhpje m` }ndf`e dpom`} hd` ndeug` jhy`ru uhunj rbh}` yhpje }`b`k|` ug` jhy`ru }ndfkdi$ N rpoon}{ hl ug` bhdb`su r`j`bukhdbgn}u kr rghyd m`jhy kd Lkip}` 9nde ug` lpjj bhdb`su r`j`bukhd bgn}u bnd m` lhpde kd nss`dekw E$

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    Lkip}` 71 Up}mkd` E`rkid

    Ug` S`juhd e`rkid }`b`k|`e ug` gkig`ru rbh}` m`bnpr` ug` `d`}i{ i`d`}nukhd s}hb`rr yhpje m`r``d kd kur `duk}`u{$ Ugkr e`rkid ynr njrh jn}i`} ugnd ug` hug`} uyh bhdb`su e`rkidr rh ugkr e`rkid}`b`k|`e n jhy`} rbh}`* mpu ku yhpje dhu s}`|`du ug` ehydyn}e ynu`} ekrbgn}i` nr opbg nde ug`hug`} uyh e`rkidr$ Ugkr e`rkid ynr ughpigu uh m` nr }`jknmj` nr ug` i`n}r nmh|` e`rkid nde oh}`}`jknmj` ugnd ug` i`n}r m`jhy e`rkid m`bnpr` |`}{ l`y sn}ur yhpje m` `wshr`e uh ynu`}$ Rkdb`

    ug` i`d`}nuh} ynr nmh|` ug` up}mkd` nde m`gkde ug` i`n}* ug`}` yhpje m` n ronjj`} bgndb` ugnuynu`} yhpje }`nbg ug` i`d`}nuh} nde enoni` ku$

    Ug` L}ndbkr up}mkd` e`rkid ynr ug` m`ru e`rkid i`d`}nu`e m{ ug` u`no$ Ku yhpje }`~pk}` j`rr}`ek}`bukhd hl ljhy nde bhpje m` shrkukhd`e |`}ukbnjj{$ Ug` e`rkid yhpje njjhy i}n|ku{ ndes}`rrp}` uh m` ug` e}k|kdi lh}b`r hl ug` e`rkid$ Ug` e`rkid yhpje njrh rnukrl{ hp} rkq` }`ru}kbukhdrnde hp} shy`} i`d`}nukhd }`~pk}`o`dur$

    Ep` uh ug` rkq` bhdru}nkdur* ug` e`rkid yhpje d``e uh pr` i`n}r h|`} n spjj`{ r{ru`o$ I`n}r n}`m`uu`} pr`e yg`d ug` ekrundb` m`uy``d ug` rgnlur n}` }`jnuk|`j{ ronjj$ Njrh* n spjj`{ r{ru`oyhpje }`~pk}` m`jur ugnu n}` rpma`bu uh oh}` y`n} nde u`n} ugnd i`n}r$

    Ug` nuunbgo`dur y`}` dhu }nu`e ninkdru n l`y hl ug` bpruho`} d``er m`bnpr` ug` d``er y`}` dhu}`j`|ndu uh ug` nuunbgo`du e`rkidr$ Ug` u`no bghr` ug` bjhbf h|`} ug` rhns ekrs`dr`} lh} ond{}`nrhdr$ Ug` bjhbf kr ronjj`} nde yhpje }`~pk}` j`rr shy`} uh hs`}nu`$ Ug` bjhbf yhpje njrh}`~pk}` j`rr bhdrpo`} onkdu`dndb` h|`} uko`$

    5$ R{ru`o J`|`j E`rkid5$> E`rb}ksukhd hl E`rkidUg` bghr`d e`rkid hl ug` up}mkd` kr hd` rkokjn} uh n L}ndbkrup}mkd` 'Lkip}` 7+$ Ku gnr 7 mjne`r* `nbg 53h r`sn}nu`e l}houg` d`wu$ Ug` yghj` e`rkid gnr n = }nekpr nde kr $0 yke`$Ug`}` kr n $>= ekno`u`} ghj` ug}hpig ug` b`du`} lh} ug`

    rgnlu$ Ug`}` kr njrh n $> jks nu ug` mhuuho lh} runmkjku{$

    Ug` i`d`}nuh} ynr bghr`d uh m` n ]L/293BN/>0293 ohe`j$Ugkr ohuh} gnr n 3$39; kdbg ekno`u`} rgnlu nde ug`

    ekno`u`} hl ug` i`d`}nuh} kr 3$;< kdbg`r$ Ug` j`diug hlug` i`d`}nuh} kr >$=> kdbg`r nde ug` lpjj j`diug 'kdbjpekdiug` rgnlu+ kr >$$7 hpdb`r$

    Lh} ug` ghprkdi hl ug` up}mkd`* ug` hpu`} ekno`u`} kr =$7 ykug n > ykeug$ N $90 kdj`u dhqqj``du`}r n $= ekno`u`} kdj`u ghj` hl ug` ghprkdi uh shy`} ug` up}mkd`$ Ug` ynu`} ug`d ljhyr uh ug`mhuuho yg`}` ku `wkur ug}hpig n $290 ekno`u`} hpuj`u kduh ug` rkdf$ Nuunbg`e uh ug` up}mkd`

    ghprkdi kr neekukhdnj rsnb` lh} ug` i`n}r nde ohuh}$ Ug` neekukhdnj ghprkdi kr =$7 unjj* 2 ugkbf*nde 5 jhdi$ Ugkr yhpje onf` ug` g`kigu hl ug` `duk}` ghprkdi bhosj`w 5 unjj nde 5$0 yke`$Ug`r` rs`bklkbnukhdr ykjj njjhy ugkr s}hepbu uh lku bholh}unmj` hduh nd n|`}ni` rkdf lnpb`uykughpu i`uukdi kd ug` yn{ hl dh}onj en{/uh/en{ nbuk|kuk`r$

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    5$= L`nrkmkjku{ BnjbpjnukhdrM`lh}` u`rukdi bnd m`ikd* ug` l`nrkmkjku{ hl s}hepbkdi ug` shy`} }`~pk}`e opru m` bnjbpjnu`e$ Ug`l`nrkmkjku{ bnjbpjnukhdr bnd m` lhpde kd nss`dekw @$ Mnr`e hll hl ug` ik|`d nrrposukhdr* y`lhpde ug` lhjjhykdi$ Uh lkde }hunukhdnj kd`}ukn* ug` onrr nde }nekpr hl ug` up}mkd` y`}` `rukonu`euh m` $> fi nde $3=05 o`u`}r* }`rs`buk|`j{$ O`ndygkj`* ug` i`n} }nukh* uh g`js onwkokq`

    `llkbk`db{* ynr e`u`}okd`e uh m` nmhpu >3$ Ugkr ykjj s}hepb` $92Ynuur$ Lkdnjj{* ug` ekno u`} hlug` dhqqj` ynr e`u`}okd`e uh m` 3$330 o`u`}r lh} nd kdb}`nr`e hpuspu |`jhbku{$ Ug` ljhyo`nrp}`o`dur y`}` unf`d nu >(2 lpjj ljhy uh r`` kl ug` bhdb`su yhpje yh}f ykug okdkonj ljhy$

    5$2 @bhdhokb Ndnj{rkrUh e`u`}okd` ygnu ug` `duk}` e`rkid rghpje r`jj lh}* ku ynr |`}{ |kunj uh lkde hpu ghy opbg ug`ohuh} bhru$ Ug` s}kb` hl ug` ohuh} ynr lhpde uh m` %5$=0(ohuh} yg`d rhje kd mpjf V}`l 5_$Prkdi ugkr kdlh}onukhd nde `rukonukhdr lh} ug` ondplnbup}kdi s}hb`rr* ug` s}kb` hl ug` `duk}`e`rkid ykjj m` nmhpu %=5 uh ondplnbup}` nde %57 uh r`jj$ Ugkr bhru kr bhos`ukuk|` uh ugnu hl ug`R{j|ndkn @BHjkigu$

    0$ E`unkj`e E`rkid0$> R{ru`o S`}lh}ondb` S}`ekbukhdrUg` u`no m`jk`|`r ugnu ug` e`rkid ykjj bhd|`}u 23 hl ug` uhunj fkd`ukb `d`}i{ hl ug` ynu`} kduh}hunukhdnj `d`}i{ kd ug` up}mkd` mnr`e hd lpjj ljhy nde up}mkd` e`rkid `ru konukhdr$ Ykug n i`n}}nukh hl >* ug` u`no m`jk`|`r ugnu ug` }hunukhdnj rs``e hl ug` i`d`}nuh} ykjj m` nss}hwkonu`j{=5933 }so$ Ugkr i`n} }nukh ynr }`nekj{ n|nkjnmj` l}ho ug` kdru}po`dunukhd }hho nu ug`S`ddr{j|ndkn Runu` Pdk|`}rku{$ Ug` i`d`}nuh} ykjj ug`d b}`nu` $0; Y hl pr`lpj shy`} nde hs`}nu`nu nd `llkbk`db{ hl 0 ykug n >3 hgo }`rkruh} nuunbg`e uh ug` r{ru`o$ Ug` }`rpjukdi bp}}`du nde|hjuni` nb}hrr ug` }`rkruh} ykjj m` $=5 N nde =$5 \ }`rs`bulpjj{$ N e`unkj`e hpujkd` hl hp}

    s}`ekbukhdr bnd m` lhpde kd nss`dekw L$

    0$= Onu`}knj nde Onu`}knj R`j`bukhd S}hb`rrUg` d`wu ru`s uhyn}er s}hepbukhd hl ug`r` okb}h/up}mkd` shy`} rpssjk`r kr uh bghhr` ug`onu`}knjr ugnu ug`{ ykjj m` mpkju l}ho$ Hp} u`no gnr e`bke`e uh pr` n okw hl sjnrukb nde ru``j$Ug` ghprkdi ykjj m` one` hpu hl n u}ndrjpb`du sjnrukb kd h}e`} uh njjhy ug` bpruho`} uh ykud`rrug` s}hb`rr hl `d`}i{ s}hepbukhd$ Ug` uyh i`n}r ykjj njrh m` one` hpu hl sjnrukb kd h}e`} uh f``sug` s}hepbu jhy bhru nde jkigu y`kigu$ Y` ykjj pr` n runden}ekq`e i`d`}nuh} ygkbg kr s}`/nrr`omj`e rh y` eh dhu gn|` uh yh}}{ nmhpu onu`}knj r`j`bukhd lh} ugnu bnr`$ Ug` rgnlu ugnubhdd`bur ug` up}mkd` uh ug` i`n}r ykjj m` runkdj`rr ru``j uh s}`|`du bh}}hrkhd$ Lkdnjj{* ug` up}mkd`ykjj m` hl n RSM ynu`} jpm}kbnu`e bhoshrku` sjnrukb onu`}knj uh `drp}` runmkjku{ nde `ll`buk|`d`rrygkj` kd pr` ykug ynu`}$ N bhoshrku` kr runden}e sjnrukb okw`e ykug lkm`}ijnrr ru}nder uh neeru}`diug$

    0$2 Bhoshd`du nde Bhoshd`du R`j`bukhd S}hb`rrYkug ug` fdhyj`ei` hl ygnu onu`}knjr uh pr`* hp} u`no gnr s}hi}`rr`e uh r`j`bukdi ug`bhoshd`dur lh} onrr s}hepbukhd$ Ug` up}mkd` ynr e`rkid`e uh m` }`nrhdnmj{ ronjj nde `llkbk`du$Ug` >(7 ekno`u`} ru``j rgnlu ynr r`j`bu`e m{ kur rkq` bhosn}`e uh ug` up}mkd rgnlu ghj`$ Ug`rgnlu rkq` njjhyr ug` up}mkd` uh m` s}`rr lkuu`e$ Ug` i`n}r y`}` r`j`bu`e uh nbbhosjkrg n i`n}

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    >3

    }nukhd hl >$ Y` bghr` uyh >3 uhhug i`n}r ygkbg ik|`r pr ug` s}hs`} i`n} }nukh lh} shy`}s}hepbukhd$ Ug` >3 uhhug i`n}r n}` runden}ekq`e sn}ur hmunkdnmj` l}ho nd{ i`n} ondplnbup}`}$Ug` ohuh} ynr n runden}e ]L/293BN/>0293 ohuh} rh ug`}` ynr dh kd e`sug r`j`bukhd s}hb`rr$Ug` dhqqj`r ugnu y`}` r`j`bu`e n}` 2(7-/>7 DSR kdu`}dnj sks` ug}`ne kd h}e`} uh nuunbg uh ug`lnpb`u s}hs`}j{$ Ug` ekikunj bjhbf lnb` ykjj m` mpkju kduh ug` ghprkdi* nde ug` yk}`r ykjj }pd l}ho

    ug` lnb`sjnu` nde ug` ohuh}$ Lkdnjj{* ug` up}mkd` ghprkdi ykjj m` mpkju kd h}e`} uh bhdunkd ug`up}mkd` nde s}`|`du ynu`} l}ho ekr}psukdi ug` ohuh}$ Ug` ghprkdi ykjj m` r`nj e hd mhug rke`rykug uyh Sj`wkijnr bnsr uh bhdunkd ug` ynu`} ykugkd ug` ghprkdi$ Nss`dekw I bhdunkdr ug`e`rkid`e sn}ur nr y`jj nr ug` nrr`omj{ |k`y$ Ug` Mkjj hl Onu`}knjr lh} njj hl ug`r` bhoshd`durbnd m` lhpde kd nss`dekw G$

    0$5 Onu`}knjr nde Lnm}kbnukhd S}hb`rrLh} ug` s}hepbukhd ohe`j* s}`bkrkhd kr |`}{ kosh}undu$ Ykug rpbg n ronjj hma`bu* ug`}` n}` hdj{rh ond{ o`ugher uh nrr`omj` ku$ Ug` i}hps gnr e`bke`e ugnu ug` ghprkdi ykjj m` spu uhi`ug`}prkdi rdns hd sn}ur$ Ug` up}mkd` ykjj m` s}`rr`e hduh ug` rgnlu nde ug`d sjnb`e kduh ug` ghprkdi$D`wu ug` i`n}r nde ohuh} ykjj m` nrr`omj`e uh lkw`e shrkukhdr hd ug` ghprkdi$ Ug` dhqqj` ykjj m`

    nuunbg`e nde ug`d ug` up}mkd` ghprkdi ykjj m` bjhr`e$ Ugkr `duk}` nrr`omj{ ykjj ug`o m` sjnb`ekduh n jn}i`} ghprkdi uh krhjnu` ug` `j`bu}hdkbr$ Ug` uyh ghprkdir ykjj m` nuunbg`e prkdi n rdns/lku nuunbgo`du$

    0$0 Ekll`}`db`r m`uy``d S}huhu{s` nde S}hepbukhd Ohe`jYgkj` ug` onrr s}hepbukhd pdkur ykjj m` one` `wnbuj{ uh rbnj` ykug s`}l`bu s}`bkrkhd* ug` njsgns}huhu{s` ykjj ekll`}$ Ug` s}huhu{s` ykjj bhru }hpigj{ rkokjn} uh ug` s}hepbukhd ohe`j* ughpigug` jnmh} ykjj bhru oh}`* nr ug` nrr`omj{* m{ gnde* ykjj unf` jhdi`} lh} ug` s}huhu{s` uh m` spuuhi`ug`}$ Ug` s}huhu{s` ykjj }`r`omj` ug` onrr s}hepbukhd mpu dhu njj hl ug` l`nup}`r ykjj m``wnbuj{ ug` rno`$ Hdj{ n|nkjnmj` sn}ur* rpbg nr S\B skskdi nde neg`rk|`r* ykjj m` pr`e lh} ug`njsgn s}huhu{s`* yg`}`nr ug` s}hepbukhd pdku ykjj hdj{ m` nrr`omj`e ykug sn}ur ugnu ykjj m`

    e`rkid`e l}ho ug` ondplnbup}`}$ Ug` s}huhu{s` hdj{ d``er uh s}h|` ug` bhdb`su yh}fr rh ku eh`rdhu d``e uh m` nr n`rug`ukbnjj{ sj`nrkdi nr ug` onrr s}hepb`e pdku$ Ug` njsgn s}huhu{s` up}mkd`ghprkdi ykjj njrh m` oh}` lh}ik|kdi uh ug` `wnbu rkq` d``e`e* prkdi ug` bjhr`ru rkq`e S\B sks`n|nkjnmj`* yg`}` nr ug` s}hepbukhd pdku ykjj m` rs`bklk`e uh `wnbu rkq`$ Ug` kdj`u nde hpuj`u hl ug`up}mkd` ghprkdi ykjj dhu m` s}hepb`e uh rs`bklkbnukhdr lh} ug` s}huhu{s`$

    0$< U`ru S}hb`ep}`Uh u`ru ug` r{ru`or s`}lh}ondb`* ug` u`no ykjj o`nrp}` ug` |hjuni` i`d`}nu`e h|`} n >3 hgo}`rkruh}$ Kl ug` shy`} eh`r dhu o``u ug` }`~pk}`o`dur* ug` i`n} }nukh ykjj m` neapru`e uh kdb}`nr`ug` hpuspu hl ug` i`d`}nuh}$ Ug` u`no ykjj njrh o`nrp}` ug` s}`rrp}` nu ug` dhqqj`$ Ug` s}`rrp}`

    nu ug` dhqqj` ykjj e`u`}okd` ghy opbg lh}b` kr `w`}u`e hd ug` up}mkd` mjne`r$ Ugkr kdlh}onukhdykjj m` pr`e kd ug` lpup}` uh g`js e`u`}okd` ug` hsukonj e`rkid hl ug` up}mkd` mjne`r$

    $0 j`diug lh} ug` up}mkd` ghprkdi$ N 2(7 ekno`u`} ghj` ynr bpu kduh ug` b`du`}hl ug` ghprkdi j`diug uh b}`nu` nd kdj`u nde ug` b`du`} hl ug` ghj` kr hllr`u m{ 2(5- l}ho uhs hl ug`

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    sks`$ N 0(7 ekno`u`} ghj` ynr bpu kduh ug` mhuuho hl ug` S\B sks` uh s}h|ke` }hho lh} ug`hpuj`u$

    N jn}i` sk`b` hl >(7 J`wnd ynr u}koo`e ehyd kduh = bk}bpjn} sk`b`r$ Ug` bk}bpjn} sk`b`r gne nekno`u`} hl 2$ N >(7 ekno`u`} ghj` ynr bpu hpu hl ug` b`du`} hl ug` J`wnd uh nbu nr n m`n}kdi lh}

    ug` >(7 ekno`u`} rgnlu uh lku ughpig$

    Ug` up}mkd` e`rkid hpujkd`e nmh|` ynr lnm}kbnu`e m{ n ug}`` eko`drkhdnj s}kdu`} nu ug` J`n}dkdiLnbuh}{ nu S`ddr{j|ndkn Runu` Pdk|`}rku{$ Ug` b`du`} ghj` ynr kdb}`nr`e kd rkq` uh $>== kd h}e`}uh s}`rr lku ug` rgnlu hduh ug` up}mkd`$

    N onj` nde l`onj` 2(7/DSR ghr` `der y`}` bpu ehyd rh ugnu ug` onj` `de hdj{ bhdunkd`e ug`ug}`ne`e `der$ Ug` l`onj` `de ynr bpu ehyd rh ugnu ug` dhqqj` ynr hdj{ gnjl nr jhdi$ Ku ynr ug`dbgnol`}`e ehyd rh ugnu ku yhpje dhu kdu`}l`}` ykug ug` up}mkd` mjne`r$

    N jhdi sk`b` hl > KE S\B sks` ynr bpu ehyd uh = uh ghpr` ug` i`d`}nuh}$ N bpu hpu hl >(= kd

    j`diug nde >(5- kd g`kigu ynr one` rh ugnu ug` i`n}r bhpje m` r``d yg`d ug` r{ru`o yhpje m`njkid`e$ N >(5- ekno`u`} ghj` ynr bpu hd ug` uhs hl ug` S\B sks` n >(=- l}ho ug` mnbf hl ug`sks` lh} n r`u rb}`y ugnu yhpje r`bp}` ug` i`d`}nuh}$

    Ug` lk}ru ru`s hl ug` nrr`omj{ ynr uh nuunbg hd` hl ug` uyh sk`b`r hl J`wnd uh hd` rke` hl ug`S\B sks` ykug Ih}kjjn Ijp`$ Yg`d ugkr sk`b` ynr e}{* ug` up}mkd`/rgnlu ynr sjnb`e kd ug`ghprkdi$ Ug` up}mkd` ynr b`du`}`e m{ sjnbkdi 0 / >(7 KE* >(7 ugkbf* }pmm`} H/}kdir hd `kug`}rke` hl ug` up}mkd`$ Ug` r`bhde sk`b` hl J`wnd ynr b`du`}`e hd ug` mnbf ghprkdi nde r`bp}`eykug Ih}kjjn Ijp`$ N >3 uhhug rsp} i`n} ynr ug`d s}`rr lkuu`e hduh ug` rgnlu hd ug` mnbf `de hlug` up}mkd` ghprkdi$ Ug` onj` ghr` `de ynr ug`d r`bp}`e uh ug` mhuuho hl ug` ghprkdi prkdiJhbuku` Rukfd R`nj Pju}n$ Ug` l`onj` ghr` `de ynr ug`d shrkukhd`e kd kur rjhu nde njrh r`bp}`e

    ykug Jhbuku` Rukfd R`nj Pju}n$ Mhug ghr` `der gne uh m` g`je kd sjnb` lh} 0 okdpu`r ygkj` ug`Jhbuku` mhde`e ug` rp}lnb`r$

    N r`bhde >3 uhhug rsp} i`n} ynr s}`rr lkuu`e hduh ug` i`d`}nuh} rgnlu$ Yk}`r y`}` rhje`}`e hduhug` i`d`}nuh} nde bhdd`bu`e uh nd nensu`}$ Ug` yk}`r y`}` j`lu uh m` > jhdi rh ugnu ug` nensu`}yhpje m` sjnb`e nr ln} nyn{ nr shrrkmj` l}ho n shrrkmj` j`nf kd ug` s}huhu{s`$ Ug` i`d`}nuh} ynrug`d sjnb`e kduh ug` > KE S\B sks` nde r`bp}`e kduh sjnb` ykug n >(5/=3 r`u rb}`y yg`d ug`i`n}r y`}` njkid`e$ Ug` i`d`}nuh} nrr`omj{ ynr nuunbg`e uh ug` mnbf hl ug` up}mkd` ghprkdiprkdi Ih}kjjn Ijp` nde Jhbuku`$

    9$ @bhdhokb Ndnj{rkr

    Kd h}e`} uh ondplnbup}` ugkr s}hepbu* nd ndnj{rkr hl njj bhrur opru m` s`}lh}o`e uh r`` kl ku kr`bhdhokbnjj{ |knmj` uh s}hepb`$ Ug` rkopjnukhd ynr n |hjpo` hl >33*333 pdkur oh|`e s`} {`n}lh} 5 { n}r$ Lh} `|`}{ pdku* ug` bhru hl apru ug` s}hepbur bho`r uh %=2$7;$ Neekukhdnjj{* hp} u`nobnjbpjnu`e ugnu jnmh} bhrur bho` hpu uh m` %5$03 s`} pdku$ Onu`}knjr nde uhhjkdi bhomkd`e y`}`bnjbpjnu`e uh bhru pr %2$33 s`} pdku s}hepb`e$ Lkdnjj{* h|`}g`ne bhrur lh} ug` e`|`jhso`du ndeon}f`ukdi bno` hpu uh m` %5$33 s`} pdku s}hepb`e$ Lh} hd` {`n} hl >33*333 pdkur* hp} uhunj bhruhl ondplnbup}kdi nde s}hepbukhd bho`r hpu uh %2*02;*333$ Ug` s}hepbu kur`jl ykjj m` rhje lh}%50 n pdku rh ug` kdbho` s`} {`n} kr %5*033*333 ygkbg ik|`r pr n %;*333 s}hlku s`} {`n}$

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    >=

    Ug`}`lh}` hp} 5 {`n} uhunj bhru kr %>5*>07*333*333 ygkbg ik|`r pr n s}hlkuhl %2*755*333 h|`} lh} {`n}r$ Njhdi ykug hp} bnjbpjnu`e s}hlku on}ikd* hp} u`no e`u`}okd`e hp}d`u s}`r`du |njp`$ Prkdi ug` `~pnukhd lh} d`u s}`r`du |njp`* ygkbg kr s}hlku ek|ke`e m{ ekrbhpdu}nu` hl >3 }nkr`e uh ug` `jnsr`e uko`* hp} u`no ekrbh|`}`e ugnu h|`} n 5 {`n} s`}khe* hp} d`us}`r`du |njp` kr %=*351>$ Ug` d`wu u`ru* ug`up}mkd` r``o`e uh m` lpdbukhdkdi y`jj pdukj ku ynr dhukb`e ugnu ug`}` ynr n j`nf kd ug` bnrkdi$Ug` i}hps r`nj`e ug` j`nf nde u`ru`e ninkd$ Nlu`}yn}er* ug` up}mkd` ynr }pddkdi lkd` ndeshy`}kdi ug` ohuh} ykughpu s}hmj`or$ Nr n }`rpju* ku up}d`e hpu yg`d ug` i}hps up}d`e ug` fdhmlh} bhje ynu`} uh kur onwkopo* > |hju ynr rpssjk`e$ Ug` un}i`u* >$0 \ ynr }`nbg`e yg`d hd`fdhm ynr nu onw nde ug` hug`} ynr gnjlyn{ uh onwkopo$ Yg`d mhug fdhmr 'ghu nde bhje+ y`}`

    up}d`e uh onw* ug` hpuspu ynr nss}hwkonu`j{ = \$ Kd r`bukhd 31> nde ug` ohuh} yhpje s}hepb` =$9 \$ Ep` uh jhnekdi nde ug`}`epbukhd kd i`n} }nukh* ug` nbupnj |hjuni` hpuspu ynr dhu nr i}`nu nr `ws`bu`e$ @|`d rh* ku ynrug` }`rpjur n}` dhu ekrnsshkdukdi nde rukjj nbb`sunmj` lh} ug` e`rkid$ Ug` u`no njrh u`ru`e ug`ynu`} s}`rrp}` yg`d ug` ljhy }nu` ynr onwkokq`e* prkdi n unbgho`u`}* nde ihu n }`rpju hl => srk$

    ;$ Bhdbjprkhd nde ]`bhoo`denukhdrU`no =E m`jk`|`r ugnu ugkr s}hepbu bnd m` `nrkj{ s}hepb`e lh} %=5 nde }`unkj`e nu %57$ Ugkrs}hepbu bhpje njrh m` pr`e yg`}` `|`} n ynu`} lnpb`u `wkrur$ Ku bhpje m` pr`e kd ug` rghy`}* ug`rkdf nde shu`duknjj{ nd hpuehh} ghr`$ Ug` bjhbf s}h|ke`r n rkosj` nbb`rrh}{ ugnu bhpje m` pr`e nu

    nd{ uko` hl en{$ Ugkr s}hepbu kr njrh |`}{ sh}unmj` nde bhpje m` oh|`e l}ho lnpb`u uh lnpb`u}`nekj{$

    Ugkr s}huhu{s` e`rkid bhpje m` kos}h|`e m` kdb}`nrkdi ug` up}mkd` rkq` h} e`b}`nrkdi ug` up}mkd`ghprkdi rkq` kd h}e`} uh okdkokq` l}`` rsnb` ykugkd ug` up}mkd` ghprkdi$ Ugkr yhpje kdb}`nr``llkbk`db{ nde s}`|`du pdd`b`rrn}{ jhrr`r$ Njrh ug` up}mkd` rgnlu nde ug` ohuh} rgnlu bhpje m`s}`rr lkuu`e uhi`ug`} rh ugnu ug` i`n}r yhpje m` `jkokdnu`e l}ho ug` `duk}` nrr`omj{$

    Ug` u`no `ws`}k`db`e ug` `duk}` e`rkid uh ondplnbup}kdi s}hb`rr lk}ru gnde$ Ug` u`no e`rkid`e*s}huhu{s`e* }`lkd`e ug` e`rkid* u`ru`e nde s}`r`du`e ug` lkdnj e`rkid$ Njrh* ug` u`no j`n}d`e ghyuh e`nj ykug shu`duknj sku lnjjr nde hug`} bgnjj`di`e ugnu kos`e`e ug` s}hi}`rr hl ug` u`no ykugug` e`rkid$ Ug` u`no j`n}d`e ghy up}mkd` i`d`}nuh}r yh}f nde ghy uh ndnj{q` ug` r{ru`o$ Ugkrs}ha`bu bhpje m` kos}h|`e m{ gn|kdi ug` s}hl`rrh} rku ehyd ykug ug` bjnrr nde ekrbprr ghy uhndnj{q` ug` `duk}` r{ru`or s`}lh}ondb`$ Ku yhpje njrh m` g`jslpj kl `nbg u`no ynr ik|`d ug`R{j|ndkn @BHjkigu uh ekrr`bu nde rupe{$

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    >2

    Nss`dekw N1 ]`l`}`db`r

    V>_ -@BHJKIGU$- Hrg}no R{j|ndkn$ R{j|ndkn* =33;$ Y`m$ =0 On} =3>3$:guus1((nrr`ur$r{j|ndkn$bho(nrr`ur(ehbpo`dur(@bh=3Jkigu=3JPOK3$=>l;57;7/7m=>/5mnb/;590/b2=;n;m3m`b3$sel4$

    V=_ Rgkokqp* Unf`rgk$ -PR Snu`du 93$ :guus1((yyy$snu`duruh}o$pr(snu`dur(selr(snu`duXke(92$- Snu`du Ruh}o$ Snu`du Ruh}o* 32 Ns} =33>$ Y`m$ 7Ns} =3>3$ :guus1((yyy$snu`duruh}o$pr(snu`dur(selr(snu`duXke(3>>2$guoj4$

    V5_Ekwhd* R$J$6 @di* M$ Ljpke O`bgndkbr* Ug`}ohe{dnokbr hl Up}mhonbgkd`}{ '0ug @ekukhd+$'ss1 =;3/2==+$ @jr`|k`}$ Hdjkd` |`}rkhd n|nkjnmj` nu1 guus1((fdh|`j$bho(y`m(sh}unj(m}hyr`( ekrsjn{8X@WUXFDH\@JXEKRSJN[Xmhhfke?=39>,\`}ukbnjKE?3

    V0_ -]L293BN/>0293 $-Ano`bh @j`bu}hdkbr KB)r nde R`okbhdepbuh}r$ Ano`bh @j`bu}hdkbr*

    =33;$ Y`m$ 2 Ns} =3>3$ :guus1((yyy$ano`bh$bho(y`mnss(ybr(ruh}`r(r`}|j`u(

    S}hepbuEkrsjn{8jndiKe?/>,s}hepbuKe?=27592,bnunjhiKe?>333>,l}``U`wu?]L/293BN/

    >0293,nss$s}hepbur$onws`}sni`?>0,ruh}`Ke?>333>,r`n}bgXu{s`?ano`bhnjj,eef`{?

    guus1Ruh}`BnunjhiE}kjjEhyd\k`y4$

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    >5

    Nss`dekw M1 S}ha`bu Ondni`o`du

    Mhm Fdhyjuhd U`no J`ne`}* Up}mkd` E`rkid`}* Y}ku`}* Ondplnbup}`}Okf` Okjj`} Ghprkdi E`rkid`}* Y}ku`}* Ondplnbup}`}M}`uu Ih}ehd Y}ku`}* E`rkid Rf`ubg`}* Ondplnbup}`}

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    >0

    Nss`dekw B1 NGS

    Bhdrpo`} d``e

    Gkig

    S`}lh}ondb`

    Jhy

    Bhru Nuu}nbuk|`

    @nr{

    Nuunbgo`du

    \`}ukbnjj{

    Ehydyn}e

    Ekrbgn}i`

    Ronjj

    Rkq`Gkig S`}lh}ondb` w >$33 5$33 3$03 0$33 =$33

    Jhy Bhru >$33 w 2$33 3$03 0$33 =$33

    Nuu}nbuk|` 3$=0 3$22 w 3$=0 =$33 3$03

    @nr{ Nuunbgo`du =$33 =$33 5$33 w 9 w 3$=0

    Ronjj Rkq` 3$03 3$03 =$33 3$22 5$33 w

    R`jl Bhdunkd`e 3$=0 3$22 3$03 3$=3 >$03 3$22

    ]`jknmj` 3$03 3$22 2$33 3$22 2$33 >$33

    S}hb`rr

    \krpnjkqnukhd 3$53 3$03 2$33 3$53 5$33 >$33

    Bhdrpo`} d``e

    R`jl

    Bhdunkd`e ]`jknmj`

    S}hb`rr

    \krpnjkqnukhd Uhunj Y`kigu`e

    Gkig S`}lh}ondb` 5$33 =$33 =$03 =>$33 3$>7

    Jhy Bhru 2$33 2$33 =$33 >;$03 3$>9

    Nuu}nbuk|` =$33 3$22 3$22 $33 >=$22 3$>>

    R`jl Bhdunkd`e w 3$03 3$03 5$>= 3$35

    ]`jknmj` =$33 w 3$3$72 3$3;

    S}hb`rr

    \krpnjkqnukhd =$33 >$03 w >=$73 3$>>

    Uhunj >>

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    >7 2 3$05 2 3$05

    Jhy Bhru 3$> 2 3$03>

    Nuu}nbuk|` 3$30>5 2 3$>05= 2 3$>05=

    @nr{ Nuunbgo`du 3$=2< 2 3$937 2 3$937

    \`}ukbnjj{ Ehydyn}e

    Ekrbgn}i` 3$3== 0 3$>> 0 3$>>

    Ronjj Rkq` 3$>3< 5 3$5=5 5 3$5=5

    R`jl Bhdunkd`e 3$3202 0 3$>9979

    ]ndf = >

    Ygnur d`wu8 Bhomkd` Bhomkd`

    I`n}r m`jhy

    e`rkid Bjhbf Rhns ekrs`dr`}

    Bpruho`} d``er Y`kigu ]nukdi Rbh}` ]nukdi Rbh}` ]nukdi Rbh}`

    Gkig S`}lh}ondb` 3$>7 2 3$05 D(N D(N D(N D(N

    Jhy Bhru 3$> 0 3$720 = 3$225Nuu}nbuk|` 3$30>5 2 3$>05= 0 3$=09 2 3$>05=

    @nr{ Nuunbgo`du 3$=2< 2 3$937 0 >$>7 = 3$59=

    \`}ukbnjj{ Ehydyn}e

    Ekrbgn}i` 3$3== 5 3$377 D(N D(N D(N D(N

    Ronjj Rkq` 3$>3< 0 3$02 0 3$02 5 3$5=5

    R`jl Bhdunkd`e 3$3202 0 3$>95>= = 3$393 3$3;2

    S}hb`rr \krpnjkqnukhd 3$>> 2 3$22 = 3$== = 3$==

    Uhunj

    Rbh}` 2$23$9 =Ygnur

    d`wu8 dhd` e`|`jhs dhd`

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    >9

    Nss`dekw @1 L`nrkmkjku{ Bnjbpjnukhdr

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    >7

    Nss`dekw L1 S`}lh}ondb` Bnjbpjnukhdr

  • 8/9/2019 Project 4 Final Paper

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    >;

    Nss`dekw I1 Sn}ur nde Nrr`omj{

  • 8/9/2019 Project 4 Final Paper

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  • 8/9/2019 Project 4 Final Paper

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  • 8/9/2019 Project 4 Final Paper

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    =;

    Nss`dekw G1 Mkjj hl Onu`}knjr

    KU@O " SN]U DNO@ \@DEH]

    > >(7- RU@@J RGNLU OBONRU@]/BN]]

    = >3 UHHUG SJNRUKB I@N] OBONRU@]/BN]]2 ]L/293BN/>0293 OHUH] ANO@BH

    5 2(7-/>7 DSR KDU@]DNJ SKS@ UG]@NE DHQQJ@ OBONRU@]/BN]]

    0 2(7-/>7 DSR @WU@]DNJ SKS@ UG]@NE DHQQJ@ OBONRU@]/BN]]

    < UP]MKD@ BNSRUHD@ UP]MKD@ BH]S$

    9 UP]MKD@ GHPRKDI OBONRU@]/BN]]

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    Nss`dekw K1 Nrr`omj{ nde Onkdu`dndb` Kdru}pbukhdr

    Nrr`omj{ Kdru}pbukhdr>+ S}`rr ug` rgnlu kduh ug` up}mkd` ghj`$

    =+ Sjnb` ug` rgnlu kd kur rjhu kd ug` up}mkd` ghprkdi$ Neapru ug` shrkukhd hl ug` up}mkd` nr d``e`e$2+ R`bp}` ug` dhqqj` hd ug` up}mkd` ghprkdi$5+ Sjnb` r`njndu hd ug` up}mkd` ghprkdi nde rdns hd ug` sjnrukb up}mkd` ghprkdi bh|`}$0+ S}`rr hd hd` i`n} hduh ug` `de hl ug` up}mkd` rgnlu$3+ Sjnb` r`njndu hd ug` j`lu bnrkdi nde rdns lku ug` bnrkdi hd$>>+ U`ru ug` nrr`omj{ nde snbfni` ug` s}hepbu$

    Onkdu`dndb`Kl ug` up}mkd` m}`nfr* }`oh|` ug` s}hepbu l}ho pr`$ Kl n j`nf hbbp}r d`n} ug` i`d`}nuh}* up}d hllug` ynu`} nde }`oh|` ug` r{ru`o ykug }pmm`} ijh|`r$ Njjhy ug` s}hepbu uh e}{ nde jhhf bjhr`j{nu ug` j`nf$ Kl ku eh`r }`nbg ug` i`d`}nuh}* ekrshr` hl ug` r{ru`o$Yg`d ug` bjhbf mnuu`}{ ek`r* up}d hll ug` ynu`} nde hs`d ug` mnuu`}{ rjhu nde }`sjnb` ug` mnuu`}{$Bjhr` ug` mnuu`}{ rjhu nde s}`rr ug` jkigu mpuuhd nde neapru ug` uko` nr d`b`rrn}{$