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Gelombang Bunyi dan Cahaya 51 P e t aKonsep Setelah mempelajari bab Gelombang Bunyi dan Cahaya, Anda dapat mendeskripsikan gejala dan ciri-ciri gelombang bunyi dan cahaya, serta menerapkan konsep dan prinsip gelombang bunyi dan cahaya dalam teknologi. Jika Anda belum mampu mendeskripsikan gejala dan ciri-ciri gelombang bunyi dan cahaya, serta menerapkan konsep dan prinsip gelombang bunyi dan cahaya dalam teknologi, Anda belum menguasai materi bab Gelombang Bunyi dan Cahaya dengan baik. Rumuskan materi yang belum Anda pahami, lalu cobalah Anda tuliskan kata-kata kunci tanpa melihat kata kunci yang telah ada dan tuliskan pula rangkuman serta peta konsep berdasarkan versi Anda. Jika perlu, diskusikan dengan teman-teman atau guru Fisika Anda. Kaji Diri Gelombang Interferensi Polarisasi Difraksi Celah Ganda Young Lapisan Tipis Minimum Maksimum Minimum Maksimum Polaroid Analisator Celah Tunggal Minimum Maksimum Minimum Maksimum Bunyi Pipa Organa Dawai Efek Doppler Resonansi Interferensi Pelayangan Minimum Maksimum Pipa Organa Terbuka Pipa Organa Tertutup Cahaya terdiri atas persamaan sumber bunyi di antaranya dapat mengalami menghasilkan pola membahas membahas dapat mengalami pada menghasilkan pola menghasilkan pola intensitas yang melewati oleh Kisi menghasilkan pola menghasilkan pola
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6/5=;9<=+=35+ ffiE12E18=E1D1><9CDB9;=1C9>7=1C9>7 fl41>N flD5B@9C18@141:1B1; 3= 1 ,5>DE;1> 25C1B 41> 1B18 71H1 @141=E1D1> @141 C5D91@=E1D1> 2 "9;1 :1B1;>H1 49:149;1> 3= 25B1@1 25C1B 71H1 1>D1B=E1D1> D5BC52ED C5;1B1>7 3 ! ffi9;5D18E9 fl P Nfl fl P Nfl41>* 3= = 1 5C1B 71H1 @141 C5D91@=E1D1> 7E>1;1>ffl$/0 + , 5 1=29< 81B71 @?C9D96>H1 fl fl &= fl = # * & '<58;1B5>1;54E1=E1D1>D1;C5:5>9C71H1>H1D1B9;=5>1B9;B1871H1@141 =E1D1> =5>E:E C541>7;1>1B1871H1@141=E1D1> =5>E:E 2 "1B1; 3= C1=1 45>71> ;1<9 :1B1; C5=E<1 3=ffi1B9ffl$/0 + , 5 E>DE;=E1D1> D5D1@ 71H1 1>D1B=E1D1> 25B21>49>7 D5B21<9; 45>71> ;E14B1D :1B1; * ffi5>71>;1D1<19>:9;1* ;1<9C5=E<11D1E* ;1<9C5=E<1 ;1<9 C5=E<1 "149 ;5D9;1 :1B1;>H1 49:149;1> 3= 71H1 1>D1B=E1D1> =5>:149 P & & ,9712E18@1BD9;5<25B=E1D1><9CDB9;D5B41@1D@141C1DE71B9C<EBECC5@5BD9D1=@1; @14171=21B25B9;ED 9DE>7<1871H1fl?E<?=2@141=E1D1> fl1;921D4E1 =E1D1><19>>H1 3 ! ffi9;5D18E9 flP Nfl fl P Nfl fl P Nfl* =41>* = %E1D1> =5>41@1D;1> 4E1 71H1 71H1 D?<1; ?<58 C52ED 41> 71H1 D1B9; ?<58 C52ED C5@5BD949@5B<981D;1>@141 +! /!5C1BC5D91@71H1D5BC52ED 141<18 fl fl &= fl = # * & = = ) $+.+ +803<35+@+8 $;+8-3<2+;6/< ./9>697, +.+6+2<+6+2<+=>367>@+8 :/;=+7+A+817/8/63=37/81/8+3 -+;+7>+=+863<=;35,/;/+5<3 !81&)5 ff ,%50)6()38031& < )0%.%, -6-/% #5D9;1=5>789DE>771H11>D1B=E1D1>=5>77E>1;1> E;E=fl?E<?=2 1219;1>D1>41=E1D1>491=29<>9<19@?C9D96>H1C1:141>1B18>H149D5>DE;1> C5@5BD9@141 +! / "9;1D5B41@1D2525B1@1=E1D1><9CDB9;CD1D9C71H1 H1>7491<1=9?<58C52E18=E1D1>=5BE@1;1>B5CE<D1>41B971H171H1H1>7 49C5212;1> ?<58 D1B9;=5>1B9; 1D1E D?<1;=5>?<1; 1>D1B1=E1D1>D5BC52ED 45>71>=E1D1><19>>H1'<58;1B5>171H1=5=9<9;925C1B41>1B1825C1B1> F5;D?B=5>:E=<18;1> 71H171H1 D5BC52ED 81BEC C5CE19 45>71> 1DEB1> F5;D?BC5@5BD9H1>7 D5<1849@5<1:1B949#5<1C0 !
$;+5=3</6+4+;fl3<35+>8=>5 /6+<*ffff +52E18 C579D971fl C9;EC9;E 49 (1>:1>7 C9C9 3= 41> @1>:1>7 C9C9 fl 3= ,971 2E18=E1D1> D9D9;=1C9>7=1C9>7 fl fl 41> fl 49D5=@1D;1>25BDEBEDDEBED49 D9D9;41>fl,5>DE;1>71H1H1>7491<1=9=E1D1> <9CDB9;49D9D9; 3 ! ffi9;5D18E9 fl P Nfl fl P Nfl flP N fl * 3= =41>* 3= = %E1D1>49D9D9;49D1B9;?<58=E1D1>49D9D9;41>49D1B9;?<58=E1D1>49D9D9; flfl45>71>1B18=1C9>7=1C9>7C5@5BD949DE>:E;;1>@14171=21B25B9;ED 5C1B ;54E1 C5D91@ 71H1 D5BC52ED 141<18 B 6/5=;98 B 6/5=;9<=+=35+ B ffi+A+ 9>697, B ffl>5>7 9>697, B 98<=+8=+ 5/</,+8.381+8 B ">+=+863<=;35 B $/;73=3?3=+< 63<=;35 ;>+812+7:+ %7%82'- +52E18 25>41 25B=1CC1 7B1= 41> 25B=E1D1> fl 4971>DE>7;1> @141 C5ED1C D1<9 B9>71> H1>7=1CC1>H1 41@1D 491219;1> ,5@1D 49 C525<18 ;1>1> 25>41 @141:1B1; 3=49<5D1;;1>=E1D1> N flH1>7=5>H5212;1>@?C9C925>41 =5>:149 C5@5BD9 @141 +! / ,5>DE;1> 25C1B 71H1 D571>71> D1<9 C5BD1 CE4ED 1>D1B1 71H1 D571>71> D1<9 41> 71B9C F5BD9;1< fl fl &= fl & = # * '<58 ;1B5>1 25B<1G1>1> 1B18 45>71> B5CE<D1>>H1 141<18 N &N &N& ffi5>71> ;1D1<19> 25C1B 71H1 @141=E1D1> 141<18 & 41> 25B1B18 ;5 ;9B9 D1>41&ff ,!fi fl fl &= fl = # * & fl fl &= fl = # * & '<58 ;1B5>1 ;54E1 71H1 C1<9>7 D571;<EBEC B5CE<D1> 71H1@141=E1D1>49 D9D9; 141<18 & & & 41> 1B18>H1 & 1B3 D1> 1B3 D1> 1B3 D1> & D5B8141@ N 3= 3=
6/5=;9<=+=35+ +9CD5= 41<1= ;51411> C5D9=21>7=1;1 B5CE<D1> 71H1 H1>7 25;5B:1@141=E1D1> C1=145>71>>?<+531B17B169C;5D97171H1D5BC52ED=5=25>DE;C52E18C579D971 C9;EC9;EC5@5BD9D1=@1;@141 +! /"+531B175?=5DB949@5B?<58D1>41;EBE>7 291C1 7E>1;1> 41<9< (8HD17?B1C * ffi w & & & 41> CE4ED>H1 D5B8141@ 71B9C F5BD9;1< & 1B3 D1> 1B3 D1> 1B3 D1> & w 3 ! ffi9;5D18E9% 7 ;7 fl P N fl fl N fl 41> *3= = fi1H171H1H1>725;5B:1@141=E1D1> 49DE>:E;;1>@141 +! /!3141<18 71H1 fl?E<?=2 @141=E1D1> ?<58 w 141<18 71H1 25B1D=E1D1> 41> 141<18 71H1 D571>71> D1<9 H1>7 :E71 25;5B:1 @141 5C1B 71H1 fl?E<?=2 41> 71H1 25B1D C5D91@ 25>41 141<18 &= fl = ffi # * & 41>w % ;7 =C & ffiE12E18=E1D1><9CDB9; 41> D5B@9C18@141:1B1; *fi1H19>D5B1;C9 1>D1B=E1D1> D5BC52ED 141<18 ,5>DE;1> 25C1B71H19>D5B1;C9>H1 :9;1 1 :1B1;>H149:149;1>C5D5>718;1<9C5=E<1C541>7;1> =E1D1>>H1 D5D1@ 41> 2 25C1B;54E1=E1D1>=5>:1494E1;1<9C541>7;1> :1B1;>H1 D5D1@ ffiE1 2E18=E1D1><9CDB9; fl41> fl D5B@9C18@141:1B1; 3= 1 ,5>DE;1>71H1fl?E<?=21>D1B=E1D1> D5BC52ED 2 "9;1:1B1;>H149:149;1> 3=25B1@1;1825C1B71H1 fl?E<?=2 C5;1B1>7 3 "9;1C52E18=E1D1>)1;1>49<5D1;;1>49C5;9D1B ;54E1=E1D1> 49=1>1;18=E1D1> ) 81BEC 49<5D1;;1>171B=E1D1>D5BC52EDD941;=5>41@1D 71H1 $/( ) ,* & #' # * + !2)2 * 1'& ,,# ffl<5;DB?> 1D?= 894B?75> 25B75B1;=5>75<9<9>799>D9 1D?= @141 ?B29D<9>7;1B1> 45>71> :1B9:1B9 K %E1D1>9>D91D?=P Nfl41>=E1D1>5<5;DB?> NP Nfl 1 ,5>DE;1> 71H1 5<5;DB?CD1D9; fl?E<?=2 1>D1B1 5<5;DB?>41>9>D91D?=D5BC52ED 2 ,5>DE;1> ;535@1D1> 5<5;DB?> ffi9;5D18E9=1CC1 5<5;DB?>P N ;7 (141D9D9;D9D9;CE4EDC52E18C579D971C1=1C9C945>71> @1>:1>7 C9C9 3= D5B41@1D=E1D1><9CDB9; CD1D9C =1C9>7=1C9>7 fl fl41> fl,5>DE;1>71H1 fl?E<?=2 H1>7491<1=9 C5D91@=E1D1> !3%0ff)2+8%6%%2,ff*! w w ! "
$;+5=3</6+4+;fl3<35+>8=>5 /6+<*ffff %1&%5 ;+27/.+8 63<=;35 +.3</53=+;7>+=+8:9<3=30.+8 ,.3</53=+;7>+=+88/1+=30 ffffl&$!+,*!# 141<18 BE1>7 1D1E 415B18 H1>7=1C98 49@5>71BE89 71H1 <9CDB9;%541><9CDB9; C5<1<E 141 49 C5;9D1B=E1D1><9CDB9; 5C1B1> H1>7 497E>1;1>E>DE;=5>H1D1;1>=541><9CDB9;49C52ED;E1D=541><9CDB9; ffi)(%2fl-675-/30),)2(%"-7-/)518%7%2 41D941;>H1=541><9CDB9;49CE1DE415B1849E:945>71>31B1=5>H9=@1> C52E18=E1D1> E:9 @?C9D96 49 415B18 D5BC52ED "9;1=E1D1> E:9 D5BC52ED =5>41@1D 71H1 25B1BD9 141=541><9CDB9; 49 415B18 D5BC52ED +521<9;>H1 :9;1=E1D1>E:9D941;=5>41@1D71H125B1BD9D941;141=541><9CDB9;49415B18 D5BC52ED #5D9;1=E1D1> E:9=5>41@1D 71H1 ;E1D=541><9CDB9; 49 415B18 D5BC52ED 494569>9C9;1> C521719 71H1 H1>7 491<1=9=E1D1> E:9 492179 ?<58 25C1B=E1D1>E:9+531B1=1D5=1D9C49DE<9C ) N 45>71> ;E1D=541><9CDB9;&fl 71H1H1>7491<1=9=E1D1>E:9&41> )? 25C1B=E1D1>E:9fl ffl$/0 + , 5 =5>E>:E;;1> 218G1 1B18=541><9CDB9; C5<1<E C1=1 45>71> 1B18 71H1 @141=E1D1> E:9->DE;=5=181=9 1B18=541><9CDB9; D9>:1E<18 +! / #5D9;1=E1D1>E:9@?C9D9649C9=@1>@141 :1B1;*41B9 =E1D1>CE=25B@?C9D96<981D +! / =E1D1>E:9D5BC52ED1;1>=5>41@1D 71H1 D?<1; 41B9=E1D1> CE=25B '<58 ;1B5>1 1B18 71H1 @141=E1D1> E:9 =5>:1E89=E1D1>CE=25B1B18=541><9CDB9;>H1@E>=5>:1E89=E1D1>CE=25B ;1> D5D1@9 ;5D9;1=E1D1> CE=25B>H1 >571D96 <981D +! / ! 1B18 71H1@141=E1D1>E:9=5>E:E=E1D1>CE=25BD1B9;=5>1B9;C589>7711B18 =541><9CDB9;>H1@E>=5>E:E=E1D1>CE=25B>571D96ffi5>71>45=9;91>41@1D 49C9=@E<;1>218G11B18=541><9CDB9;49C5;9D1B=E1D1>CE=25B@?C9D96C5<1<E =5>:1E89=E1D1> CE=25B>H141> C521<9;>H1 1B18=541><9CDB9;49 C5;9D1B =E1D1>CE=25B>571D96C5<1<E=5>E:E;5=E1D1>D5BC52ED +5CE1945>71>ffl$/0 + , 571H1H1>7491<1=9=E1D1>E:9@?C9D96) 41B9C52E18=E1D1>CE=25BH1>7D5B@9C18@141:1B1;*41@1D49DE<9C ) # / "9;1@5BC1=11>D5BC52ED49CE2CD9DEC9;1>;5ffl$/0 + , 5 25C1B;E1D =541><9CDB9;H1>74981C9<;1>?<58CE=25B=E1D1> D9D9;49>H1D1;1>45>71> @5BC1=11> ffi)(%2fl-675-/ B "/.+863<=;35 B ">+=+8=3=35 %7%82'- !
6/5=;9<=+=35+ ,9D9;(25B:1B1; 3=41B9C52E18=E1D1>D9D9;H1>725C1B>H1 fl 1 9DE>725C1B41>1B18=541><9CDB9;49 D9D9;( 2 5B1@1 @5B35@1D1> 1G1<=E1D1> ) fl H1>7 49<5@1C;1> 41B9 D9D9; ( :9;1 =1CC1>H1 7 3 ! ffi9;5D18E9* 3= = fl P Nfl) fl P Nfl 41>% 7 P N ;7 1 5C1B;E1D=541><9CDB9;49 D9D9;(141<18 fl &= fl = # * &fl 41> 1B18>H1=5>:1E89=E1D1> 2 5B41C1B;1> E;E=#54E1&5GD?> % fi1H1 H1>7491<1=9=E1D1>)49 D9D9; ( 25B41C1B;1>ffl$/0 + , 5 141<18 ) P Nfl P &fl& C589>771 @5B35@1D1> 1G1<>H1 & ;7 % =C # ) / N ffl$/0 + , 5=5>E>:E;;1> 218G1 ;E1D=541><9CDB9; @141 CE1DE D9D9; 49 C5;9D1B C52E18=E1D1><9CDB9; C521>49>7 45>71> 25C1B=E1D1>>H1 41> 25B21>49>7 D5B21<9; 45>71> ;E14B1D :1B1; D9D9; ;5=E1D1> D5BC52ED ffi5>71>;1D1<19>:9;1=E1D1>>H149:149;1> ;1<9C5=E<1@141:1B1;H1>7 D5D1@;E1D=541><9CDB9;>H1=5>:149 ;1<9C5=E<1;1>D5D1@9:9;1:1B1;>H1 49:149;1> ;1<9 C5=E<1=E1D1> CE=25B>H1 D5D1@ ;E1D=541><9CDB9;>H1 1;1>=5>:149 ;1<9C5=E<1;1B5>1;E1D=541>25B21>49>7D5B21<9;45>71> ;E14B1D :1B1;>H1 #E1D=541><9CDB9; 49 CE1DE D9D9; 1;921D 2525B1@1 CE=25B=E1D1> D9D9; 49D5>DE;1>45>71>31B1=5>:E=<18;1>C531B1F5;D?BC5=E1;E1D=541><9CDB9; H1>7 49D9=2E<;1> ?<58 C5D91@=E1D1> C5@5BD9 H1>7 D5<18 49<1;E;1> E>DE; =5>789DE>771H1fl?E<?=2@141C52E18=E1D1>?<582525B1@1=E1D1><19> ffiE12E18=E1D1><9CDB9;=1C9>7=1C9>7 fl41> N flD5B@9C18@141 :1B1; 3=C1DEC1=1<19>,5>DE;1>25C1B41>1B18=541><9CDB9;49D9D9;(:9;1 1 D9D9;( D5BC52ED 25B141@14171B9C8E2E>7;54E1=E1D1> C5:1E8 3=41B9 1D1E 3=41B9) 41> 2 D9D9;(25B141@141:1B1; 3=41B9 41> 3=41B9 3 ! %541><9CDB9; 49 C5;9D1B 4E1 2E18=E1D1><9CDB9;=5BE@1;1> B5CE<D1> 41B9=541> <9CDB9;H1>749D9=2E<;1>?<58C5D91@=E1D1>D5BC52ED'<58;1B5>19DE>41D5B<5298 418E<E81BEC=5>771=21B;1> 1B18=541>49 D9D9;(H1>749C5212;1>?<58 C5D91@ =E1D1> !3086- )5(%6 >+:+;=35/67+<3817+<381 ,/;7>+=+8 .+8 A+81 ,/<+;.+84/83<8A+=3.+5 .35/=+2>3=/;:3<+2.+;3"3 +8=+;+5/.>+7>+=+8=/;</,>= .+8:+.+1+;3<2>,>818A+ .+;3% fi35+7/.+863<=;35.3 =3=35$7+5+ + .+8 +.+6+27>+=+8 7>+=+8A+81=3.+5</4/83< , :9=/8<3+6.3=3=35$A+81 .3</,+,5+896/2 .+8 <+7+ - ,/<+;7>+=+8 5+63 ,/<+;7>+=+8 .+8 </4/83< . ,/<+;7>+=+8 5+63 ,/<+;7>+=+8 .+8 </4/83< =/;.+:+==3=35$:+.+4+;+5 / ,/<+;7>+=+8 5+63 ,/<+;7>+=+8 .+8 </4/83< ff)2;)0)6%-%2 35/=+2>3: : :C: :C: : : 1 4 </4/83< %:%&) #ffl $ " : :
$;+5=3</6+4+;fl3<35+>8=>5 /6+<*ffff ffiE1 2E18=E1D1>=1C9>7=1C9>7 fl 41> fl D5B@9C18 @141 :1B1; 3= ,9D9; ( D5B<5D1; C545=9;91> C589>771 ;E1D=541>>H1 C1=145>71> >?< ,5>DE;1>@?C9C9 D9D9;(41B9=E1D1> 3 ! #E1D=541> 49 D9D9; ( 141<18 B5CE<D1> 4E1 ;E1D=541><9CDB9; F5;D?B H1>7 49D9=2E<;1> ?<58=E1D1> 41> *5CE<D1> 4E1 2E18 F5;D?B C1=1 45>71> >?< :9;1 25C1B ;54E1 F5;D?B D5BC52ED C1=1 D5D1@9 25B<1G1>1> 1B18 +H1B1D D5BC52ED 49@5>E89:9;1 D9D9;(25B141@14171B9C8E2E>71>D1B1 41> 1 #E1D=541><9CDB9; 49 D9D9; ( ?<58=1C9>7=1C9>7=E1D1> 49DE>:E;;1> @141 71=21B1B18;E1D=541><9CDB9;?<58=E1D1> fl49D9D9;(C52ED =5>:1E89;5=E1D1> ;1B5>1 @?C9D961D1E=5>E:E 41>1B18;E1D=541> <9CDB9;49 D9D9;(?<58=E1D1> N flC52ED 141<18=5>E:E=E1D1> ;1B5>1 >571D965C1B=1C9>7=1C9>7;E1D=541><9CDB9; D5BC52ED 141<18 fl &= fl = # * &fl 41> fl &= fl = # * &fl '<58 ;1B5>1 41> C51B18 B5CE<D1>>H1 141<18 P &fl &fl &fl "149;E1D=541><9CDB9;49D9D9;(141<18P &fl=5>E:E=E1D1> 2 #E1D=541><9CDB9;49D9D9;(?<58C5D91@=E1D1>49DE>:E;;1>@14171=21B2 5C1B ;E1D=541><9CDB9; ?<58 C5D91@=E1D1> 141<18 ( fl &= fl = # * &fl 41> ( fl &= fl = # * &fl '<58 ;1B5>1 41> C1<9>7 D571;<EBEC 25C1B B5CE<D1>>H1 141<18 ( &fl &fl &fl 3= ( 3= ! 3= 3= 3= N
6/5=;9<=+=35+ ffl$/0 + , 5=5>E>:E;;1>218G1 171B;E1D=541><9CDB9; C1=1=1;1 2 Q r 81BECC1=1ffi5>71>;1D1<19> * * 1D1E * * C589>771 49@5B?<58 ** ffi5>71>45=9;91>@?C9C9 D9D9;(41B9=E1D1>) 141<18@141 :1B1; * 3=3=;51B18 08/6fl-675-/(%28/81%866 +5:1E89>9>41D5<18=5>77E>1;1> E;E=fl?E<?=2E>DE;=5>789DE>7 =541><9CDB9;49CE1DED9D9;49C5;9D1B=E1D1>CE=25B%5D?41<19>H1>741@1D 497E>1;1> E>DE;=5>789DE>7=541><9CDB9; 141<18 45>71>=5>77E>1;1> E;E=fi1ECC->DE;=5=181=9 E;E=fi1ECCD5B<5298418E<E>4181BEC =5=181=9@5>75BD91>71B9C71B9C71H1=541><9CDB9;41>6<E;C<9CDB9; %541><9CDB9; 41@1D 4971=21B;1> ?<58 71B9C71B9C 71H1=541><9CDB9; B1871B9C71B9C71H1=541><9CD9;49C5;9D1B=E1D1>C5<1<E;5<E1B41B9=E1D1> <9CDB9;@?C9D9641>=5>E:E;5=E1D1><9CDB9;>571D96 +! / =5=@5B<981D;1> 71B9C71B9C71H1=541><9CDB9;49C5;9D1B=E1D1><9CDB9;@?C9D9641>>571D96 ->DE;=5=181=9 6<E;C<9CDB9; @5B81D9;1> +! / %9C1<>H1 14171B9C71B9C71H1=541><9CDB9;C5B171=45>71>;5B1@1D1>=5>5=2EC 2941>7C5<E1C 45>71>=5=25>DE;CE4ED D5B8141@2941>7>?B=1<H19DE F5;D?BH1>7;5<E1B D571;<EBEC2941>71>H1;>H171B9C71B9C71H1=541> <9CDB9;H1>7=5>5=2ECD571;<EBEC<E1C2941>7D5BD5>DE49C52EDfi$-#+$!+,*!# +531B1=1D5=1D9C6<E;C<9CDB9;49DE<9C;1> N dengan: = fluks listrik (weber, disingkat Wb), A = luas bidang (m2 ), dan = rapat garis gaya medan listrik yang berimpit garis normal atau tegak lurus bidang (Wb/m2 ). %1&%5 ffi+;3<1+;3<1+A+7/.+8 63<=;35 + .3</53=+;.>+7>+=+8 =3=35.+8 , .3+8=+;+.>+5/:381 </4+4+;,/;7>+=+8 * * 3= !
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6/5=;9<=+=35+ ,9D9;( D5B<5D1;@141:1B1; 3=41B9=E1D1><9CDB9; fl41> 3=41B9=E1D1> <9CDB9;N fl,5>DE;1>@?D5>C91<<9CDB9;49 D9D9;(H1>74981C9<;1>?<58 1 =E1D1> @5BD1=1 2 =E1D1> ;54E1 41> 3 ;54E1=E1D1> 3 ! ffi9;5D18E9 fl P Nfl* 3= = N flNP Nfl41> * 3= = 1 (?D5>C91<<9CDB9;49 D9D9;(?<58 141<18 fl &= fl = # * . 2 (?D5>C91<<9CDB9;49 D9D9;(?<58 141<18 fl &= fl = # * . 3 (?D5>C91<<9CDB9;49 D9D9;(?<58;54E1=E1D1> 141<18 ( . . . ,971 2E18=E1D1><9CDB9;=1C9>7=1C9>7 fl N fl 41> N fl 25BDEBED DEBED 49<5D1;;1> @141 D9D9;D9D9; CE4ED C52E18 C579D971fl C9;EC9;E 49 "1B1; 3= 41> :1B1;fl 3= ,9D9;ffi 25B141 @141 71B9C D5@1D 49 D5>718 D5>718>H1 ,5>DE;1> EC181 H1>7 49@5B<E;1> E>DE;=5=9>418;1>=E1D1><9CDB9; 41B9D9D9;fl;5D9D9;ffi 3 ! ffi1B9ffl$/0 + , 5EC181E>DE;=5=9>418;1>=E1D1>)41B9D9D9;fl;5D9D9;ffi 141<18flffi)ffi0fl'<58;1B5>19DED5B<5298418E<E>41D5>DE;1>@?D5>C91< <9CDB9;49D9D9;fl41>ffiH1>74981C9<;1>?<58=E1D1>49D9D9;41>=E1D1>49fl D941; 49<921D;1> ;1B5>1=E1D1> D5BC52ED 141<18=E1D1> H1>7 49@9>418;1> ff37)26-%0fl-675-/30),)2(%"-7-/)518%7%2 (?D5>C91< H1>74981C9<;1> ?<58 C52E18=E1D1> D9D9;49DEBE>;1>45>71> 21>DE1>;1<;E<EC9>D57B1<D941;49DEBE>;1>49C9>9(?D5>C91<<9CDB9;@141CE1DE D9D9;H1>725B:1B1;*41B9C52E18=E1D1>D9D9;49>H1D1;1>?<58@5BC1=11> Q V k r N 45>71> =5>H1D1;1> @?D5>C91<=ED<1; 49 CE1DE D9D9; (141* D1; D5B89>771 ffi5>71> ;1D1<19>=5BE@1;1>2541@?D5>C91< 1>D1B1* 41> D941; D5B89>771 '<58;1B5>1@?D5>C91<<9CDB9;=5BE@1;1>25C1B1>C;1<1B>9<19>H149CE1DE D9D9; 41@1D @?C9D96 41> 41@1D @E<1 >571D96 25B71>DE>7 @141=E1D1> CE=25B>H1 (?D5>C91< 49 CE1DE D9D9; 1;921D 2525B1@1=E1D1> CE=25B C1=1 45>71>:E=<18@?D5>C91<<9CDB9;?<58C5D91@=E1D1>+531B1=1D5=1D9C@?D5>C91< <9CDB9;?<582E18=E1D1>CE=25B49DE<9C ! # # # ** * N
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$;+5=3</6+4+;fl3<35+>8=>5 /6+<*ffff +52E18;1@1C9D?BD5B2E1D41B94E1;5@9>7C5:1:1B$E1CD91@;5@9>7 3= 41>:1B1; 1>D1B;5@9>7 ==%549E= 49 1>D1B1 ;54E1 ;5@9>7 141<18 495<5;DB9; 45>71> ;?>CD1>D1 1 ,5>DE;1> ;1@1C9D1C ;1@1C9D?B 2 "9;1;1@1C9D?B9>9498E2E>7;1>45>71>21D5B19 .25B1@1=E1D1>41>5>5B79 <9CDB9; H1>7 41@1D 49C9=@1> 49 41<1=>H1 3 ! ffi9;5D18E9 3= P N = ffl==P N =41> . 1 #1@1C9D1C ;1@1C9D?B :9;1 2181> 49 1>D1B1 ;54E1 ;5@9>7H1 E41B1 141<18 = fl &= = ffl ff 2 %E1D1> 41> 5>5B79 H1>7 41@1D 49C9=@1> 41<1= ;1@1C9D?B 141<18 P N ff . P N fl 1 2 1 2 P N ff . P N " %2+/%-%2%4%6-735 ffi1<1= B1>7;191><9CDB9; ;1@1C9D?B 41@1D 49CECE> C531B1 C5B9 @1B1<5< 1D1E712E>71>C5B941>@1B1<5<#1@1C9D?B4925B9C9=2?< % %2+/%-%2 !)5- %4%6-735 +! / =5=@5B<981D;1>D9712E18;1@1C9D?B 41> H1>7 49B1>7;19 C5B9 #5D9;1 B1>7;191>9>9 498E2E>7;1> 45>71> 21D5B19 H1>7 =5=9<9;9 D571>71> ;1@1C9D?B 1;1> D5B9C9=E1D1><9CDB9; H1>7 C1=1 ffi>-3!/A./8+.+6+2+6+= :/;=+7+A+81.31>8+5+896/2 367>@+8 >8=>5 7/8A37:+8 7>+=+863<=;35A+817/;/5+ ,>+=#+7++6+==/;</,>= .3+7,36.+;3=/7:+=.37+8+ +6+==/;</,>=.35/7,+815+8 :+.+=+2>8 A+3=> (83?/;<3=+< !/A./8 /6+8.+ ffi>-3!/A./87/;>:+5+84/83< 5+:+<3=9;:/;=+7+ !81&)5 ff 8'-fl);()2 E>DE; ;1@1C9D?B @5<1D C5:1:1B H1>7<E1C @5<1D>H1 :1B1; 1>D1B@5<1D>H1 ffl 41>25B9C9E41B1491>D1B1;54E1@5<1D>H1141<18 ffl N "9;1 1>D1B@5<1D>H1 499C9 2181> 495<5;DB9; 45>71> ;?>CD1>D1 495<5;DB9; ;1@1C9D1>C9>H1=5>:149 ffl N +1DE1>;1@1C9D1>C9141<1861B1449C9>7;1Dff #5D9;1;1@1C9D?B4925B92541@?D5>C91<498E2E>7;1>;521D5B19;1@1C9D?B D5BC52ED C575B1 D5B9C9=E1D1> +1<18 C1DE@5<1D=5>5B9=1=E1D1>@?C9D9641> H1>7<19>>H1=E1D1>>571D96(B?C5C@5>79C91>=E1D1>@141;1@1C9D?BE=E=>H1 25B<1>7CE>7C9>7;1D41>;5D9;1;51411>DE>1;=1>D1@4931@191D1E;1@1C9D?B D5<18D5B9C9=E1D1>=1;C9=E=D941;141@5>79C91>=E1D1><17941>D941;141 1<9B1> 1BEC<9CDB9; "E=<18=E1D1> H1>741@1D D5BC9=@1>4941<1= ;1@1C9D?B C521>49>745>71>2541@?D5>C91<41>C531B1=1D5=1D9C49DE<9CC52171925B9;ED N +5=5>D1B19DE5>5B79 H1>741@1D D5BC9=@1>41<1= ;1@1C9D?B=5=5>E89 @5BC1=11> N %1&%5 +:+<3=9;5+:+<3=9; =/;<><>8</;3 )0%.%, -6-/%
6/5=;9<=+=35+ ffi5>71>=5>77E>1;1>8E2E>71> D571>71>@141 C5D91@;1@1C9D?B=5=5>E898E2E>71> 41> ,571>71>21D5B19 C1=145>71>:E=<18 D571>71>41B9C5D91@;1@1C9D?B H1;>9 C589>77149@5B?<58;1@1C9D1>C95;9F1<5>>H1 1D1E N ffl$/0 + , 5 =5>E>:E;;1> 218G1 ;1@1C9D1>C9 5;9F1<5> E>DE; ;1@1C9D?B;1@1C9D?BC5B9C5<1<E<5298;539<41B9@141;1@1C9D1>C9D5B;539<41<1= B1>7;191> D5BC52ED & %2+/%-%2 ff%5%0)0 %4%6-735 +! / =5=@5B<981D;1>D9712E18;1@1C9D?B 41> H1>7 49B1>7;19 @1B1<5< (141B1>7;191>D5BC52EDC5D91@;1@1C9D?B=5=9<9;9D571>71>H1>7C1=1 D5D1@9=E1D1>25B2541=1C9>7=1C9>7=5=5>E898E2E>71>C52171925B9;ED %E1D1>D?D1<H1>749C9=@1>@141;5D971;1@1C9D?B141<18 fl 41>;1@1C9D1>C95;9F1<5>>H1141<18 N ffl$/0 + , 5 =5>E>:E;;1>218G1;1@1C9D1>C9;1@1C9D?B;1@1C9D?B @1B1<5<<529825C1B41B9@141;1@1C9D1>C9C5D91@;1@1C9D?B41<1=B1>7;191> D5BC52ED %1&%5 +:+<3=9;5+:+<3=9; =/;<><>8:+;+6/6 B +:+<3=9; B +:+<3=+<5+:+<3=9; B &+815+3+8</;35+:+<3=9; B &+815+3+8 :+;+6/6 5+:+<3=9; %7%82'-
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6/5=;9<=+=35+ #1@1C9D1>C9 ;1@1C9D?B ;5@9>7 C5:1:1B H1>7 D5B41@1D E41B1 49 1>D1B1 ;54E1 ;5@9>7>H1 141<18 "9;1 =549E= 49 1>D1B1 ;54E1 ;5@9>7 4971>D9 45>71> 495<5;DB9;H1>7;?>CD1>D1>H1 41>:1B1;1>D1B;5@9>7 49:149;1> ;1<9C5=E<125B1@1;18;1@1C9D1>C9>H1 C5;1B1>7 #1@1C9D?B ;5@9>7 C5:1:1B 45>71><E1C C5D91@ ;5@9>7 3= 41> 1>D1B;5@9>7 D5B@9C18 @141 :1B1; == 498E2E>7;1>45>71>21D5B19 .%549E=491>D1B1 ;54E1 ;5@9>7 141<18 495<5;DB9; 45>71> ;?>CD1>D1 ,5>DE;1> 1 ;1@1C9D1>C9 ;1@1C9D?B 2 =E1D1>H1>741@1DD5BC9=@1>@141;1@1C9D?B41> 3 5>5B79 H1>741@1D D5BC9=@1>41<1= ;1@1C9D?B $/( ) ,* & #' # * + !2)2 * 1'& ,,# ,9712E18;1@1C9D?B45>71>;1@1C9D1>C9 ff ff 41> ff #5=E491> B1>7;191>9>9 498E2E>7;1> 45>71> 21D5B19 . ,5>DE;1><18 D571>71> C5D91@ ;1@1C9D?B ffiE1 2E18 ;1@1C9D?B945>D9; 45>71> ;1@1C9D1>C9 85>41; 498E2E>7;1> 45>71> C52E18 21D5B19%E<1 =E<181>H1C52E18;1@1C9D?B498E2E>7;1>;521D5B19 41> D5B>H1D1 5>5B79 H1>7 41@1D D5BC9=@1> @141>H1 141<18 "9;1;54E1;1@1C9D?B498E2E>7;1> C5B941> 498E2E>7;1> ;5 21D5B19 25B1@1 5>5B79 H1>7 41@1D D5BC9=@1> @141 ;1@1C9D?B D5BC52ED&H1D1;1><18 41<1= !3%0ff)2+8%6%%2,ff*! @1;18 @5>77?C?;1>=5BE@1;1> @B?C5C=5=25B9;1>=E1D1> @141 2181> H1>7 497?C?;@1 C525>1B>H1 H1>7 D5B:149 C11D 49<1;E;1> @5>77?C?;1> =9C1<>H1 ;5D9;1=9CD1B @<1CD9; 497?C?; ?<58 ;19> ffi1@1D;1825>41D1;25B=E1D1>49D1B9;?<5825>4125B=E1D1><9CDB9;%5>71@1 45=9;91> @1;18 71H19>D5B1;C9 1>D1B1 4E1=E1D1><9CDB9; D5B=1CE; 71H1 1;C9NB51;C9 %5>71@1 45=9;91> fi1=21B;1><18 71B9C71B9C 71H1=17>5D 49 C5;9D1B 4E1=E1D1> @?C9D96 H1>7 D5B@9C18 @141 :1B1;* ffl<5;DB?> 49<5@1C;1> 49 45;1D @5<1D >571D96 41B9 ;1@1C9D?B@1;18 5<5;DB?> 1;1> 25B75B1;<EBEC%5>71@1 45=9;91>
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6/5=;9<=+=35+ 2)2+ -2*-+!=5>H1D1;1> 218G1 71H1 D1B9; =5>1B9; 1D1E D?<1;=5>?<1; 1>D1B1 4E1=E1D1> <9CDB9;25B21>49>7<EBEC45>71>25C1BC5D91@=E1D1> 41> 25B21>49>7 D5B21<9; 45>71> ;E14B1D :1B1; 1>D1B1 ;54E1=E1D1> D5BC52ED # / fl$# ,*'01/')141<18BE1>71D1E415B18H1>7=1C98 49@5>71BE89 71H1<9CDB9; 5C1B1> H1>7 497E>1;1> E>DE;=5>H1D1;1>=541><9CDB9;49C52ED)2 1+$# , *'01/') ) 2)2+ 200=5>H1D1;1> 218G1 :E=<18 71B9C 71H1=541><9CDB9; H1>7=5>5=2EC CE1DE @5B =E;11>D5BDEDE@C521>49>745>71>:E=<18=E1D1> <9CDB9; H1>7 49<9>7;E@9 ?<58 @5B=E;11> D5BDEDE@ D5BC52ED %541><9CDB9; 49 41<1= 2?<1 ;?>4E;D?B 25B=E1D1> C541>7;1> 49 @5B=E;11> 2?<1 ;?>4E;D?B 25B=E1D1> # / 41>49<E1B2?<1;?>4E;D?B25B=E1D1> # / $# .-1$,0' *<9CDB9; 49 D9D9; D5B8141@ 49 4569>9C9;1> C521719 EC181 H1>7 49@5B<E;1> E>DE; =5=9>418;1>=E1D1><9CDB9; 41B9 D9D9; ;5 D9D9; 492179 25C1B=E1D1> H1>7 49@9>418;1> ) ) (?D5>C91<<9CDB9; @141 CE1DE D9D9; 25B:1B1;* 41B9 C52E18=E1D1> D9D9; 141<18 # * C541>7;1> E>DE; 2525B1@1=E1D1> CE=25B 141<18 ! ! ! # * (?D5>C91<<9CDB9; 49<E1B 2?<1 141<18 # * (?D5>C91<<9CDB9; 49 @5B=E;11> 2?<1 41> 49 C5D91@ D9D9; 41<1= 2?<1 141<18 # . 0'1-/141<181<1DH1>741@1D=5>H9=@1>=E1D1> <9CDB9; 1D1E 5>5B79<9CDB9;5C1B1> H1>7=5>H1D1;1> ;5=1=@E1> ;1@1C9D?B E>DE;=5>H9=@1>=E1D1> 1D1E 5>5B79 49C52ED ;1@1C9D1>C9 1D1E ;1@1C9D1C ;1@1C9D?B&9<19) . 0'1 ,0'25B71>DE>7@14149=5>C9 41>=549E=41<1=;1@1C9D?B9DEC5>49B9+531B1E=E= ffl (141 B1>7;191> 0$/' ) . 0'1-/25B<1;E @5BC1=11> + ->DE;B1>7;191>. / *$*) . 0'1-/25B<1;E@5BC1=11> · · · @ %2+/81%2
$;+5=3</6+4+;fl3<35+>8=>5 /6+<*ffff P e t a 98</: fl2 1 , '01/') 5>41 ,9D9; 5B=E1D1> %E1D1> H1>7 ,5B49CDB92EC9 #?>D9>E +1DE ,9D9; $5298 41B9 +1DE ,9D9; (5>:E=<181> .5;D?B ?<1 #?>4E;D?B 5B=E1D1> #1@1C9D?B E k Q r = 2 E;E=fi1ECC %541>$9CDB9; 541 (?D5>C91< $9CDB9; ffl fi1H1 fl?E<?=2 ) ffl>5B79 (?D5>C91< $9CDB9; )ffl '/=/6+2 7/7:/6+4+;3 ,+, 6/5=;9<=+=35+ 8.+ .+:+= 7/7 09;7>6+<35+81+A+63<=;355>+=7/.+863<=;3506>5<:9=/8<3+6 63<=;35/8/;13:9=/8<3+663<=;35</;=+:/8/;+:+88A+:+.+5/:381 </4+4+;fi35+8.+,/6>77+7:>7/709;7>6+<35+81+A+63<=;35 5>+=7/.+87+18/=06>5<:9=/8<3+663<=;35/8/;13:9=/8<3+6 63<=;35</;=+:/8/;+:+88A+:+.+5/:381</4+4+;8.+,/6>7 7/81>+<+37+=/;3,+,6/5=;9<=+=35+./81+8,+35&>7><5+8 7+=/;3A+81 ,/6>78.+ :+2+736+6> -9,+6+28.+=>63<5+8 5+=+5+=+5>8-3=+8:+7/632+=5+=+5>8-3A+81=/6+2+.+.+8 =>63<5+8:>6+;+815>7+8</;=+:/=+598</:,/;.+<+;5+8?/;<3 8.+fi35+:/;6>.3<5><35+8./81+8=/7+8=/7+8+=+>1>;> fl3<35+ 8.+ %.--5- .+:+= ,/;>:+ =/;.3;3 +=+< 7/811>8+5+8 7>+=+8 6+38 fl .+6+7 7/.+8 63<=;35 7/81+6+73 .>+ =3=35 .+6+7 7/.+8 63<=;35 7/736353 7/8A37:+8 >8=>5 7/8/8=>5+8 7/811>8+5+8 7/811>8+5+8 =/;.+:+= :+.+
6/5=;9<=+=35+ $36326+2<+6+2<+=>4+@+,+8A+81:+6381=/:+=.+85/;4+5+86+2:+.+,>5>6+=32+88.+ ffiE1 25>41 25B=E1D1> ) 41> ) 25B:1B1;* C1DE C1=1<19> "9;1 :1B1;* 49E218E218 7B169; H1>7 =5>H1D1;1>8E2E>71>71H19>D5B1;C9;54E1=E1D1> 45>71>*141<18M 1 4 2 5 3 ffiE1 2E18=E1D1><9CDB9; C1<9>7=5>?<1; 45>71> 71H1 @141 :1B1; D5BD5>DE "9;1 :1B1;>H1 49:149;1> 4E1;1<9C5=E<171H1 D?<1;>H1=5>:149M 1 1 4 2 1 2 3 4 5 +52E18 25>41 25B=1CC1 7B1= 41> 25B=E1D1> ) fl 4971>DE>7 ;1>@141C5ED1CD1<9B9>71> H1>7 =1CC1>H1 41@1D 491219;1>,5@1D49 C525<18 ;1>1> 25>41@141:1B1; 3=49<5D1;;1>=E1D1>)N flH1>7=5>H5212;1> @?C9C925>41=5>:149C5@5BD9@14171=21B "9;1 P &= fl 41> 7 =C D571>71> @141 D1<9 141<18M 1 & 2 & 3 & 4 & 5 & (141D9D9;D9D9;CE4EDflffiC52E18@5BC579flffi 45>71> @1>:1>7 25BDEBEDDEBED 49D5=@1D;1> =E1D1>)))41>)%E1D1>)=5>71<1=9B5CE<D1> 71H1 41B9=E1D1><19> C525C1B ) =1;1 . 141<18M 1 2 4 1 2 2 2 2 2 5 1 1 2 2 3 1 2 #E1D=541><9CDB9;49CE1DED9D9;(H1>749D9=2E<;1> ?<58C52E18=E1D1>)49D9D9;1C1<' 1B18>H1=5>:1E89):9;1A@?C9D9641>=5>E:E) :9;1)>571D96 25B21>49>7<1>7CE>7 45>71> ) 25B21>49>7 D5B21<9; 45>71> ;E14B1D :1B1;'( 1B18>H1 C1=1 45>71> 71H1 fl?E<?=2 @141 =E1D1> )49 ( 29<1 ) @?C9D96 41> 25B<1G1>1> 45>71>71H1fl?E<?=2D5BC52ED29<1)>571D96 (5B>H1D11> H1>7 25>1B 141<18M 1 41> 2 41> 3 41> 4 5 41> ffiE1@1BD9;5<=1C9>7=1C9>725B=E1D1>) 41>) H1>7 D941;49;5D18E9 25C1B41>:5>9C>H1 D5B@9C18 C5:1E8ffl (14171B9C8E2E>7 491>D1B1 ;54E1=E1D1> D5BC52ED D5B41@1D D9D9;(H1>7@?C9C9>H1 2 3 ffl41B9) "9;1;E1D =541>49 D9D9;( C1=145>71>>?< @5B>H1D11> H1>7 25>1B 141<18 1 ) 41> ) 141<18=E1D1>=E1D1> H1>7 D941; C5:5>9C 2 @?D5>C91<49D9D9;(H1>749C5212;1>?<58) 41> ) C1=1 3 @?D5>C91<49 D9D9;(C1=145>71>>?< 4 25C1B=E1D1>) ;1<925C1B=E1D1>) 5 25C1B=E1D1>) ;1<925C1B=E1D1>) ffiE1 2E18 @1BD9;5< 41> =1C9>7=1C9>7 25B =E1D1><9CDB9; fl 41> fl D5B@9C18 @141 :1B1;3="9;1fl141<18D9D9;H1>7D5B<5D1;491>D1B1 41> C545=9;91> C589>771=541> 49 fl C1=1 45>71> <5D1;fl41B9141<18M 1 3= 2 3= 3 3= 4 3= 5 3= (141D9D9;D9D9;CE4ED41>ffiC52E18@5BC579flffi 49<5D1;;1>C52E18@1BD9;5<25B=E1D1>)71B;E1D =541><9CDB9; 49 D9D9; >?<=1;1 49 D9D9; fl 81BEC 49<5D1;;1> C52E18@1BD9;5< 25B=E1D1> C525C1BM * * * * * ) ) 3= 9%08%6-ffi%7)5-%&
$;+5=3</6+4+;fl3<35+>8=>5 /6+<*ffff 1 N) 4 ) 2 2 ) 5 N ) 2 3 N) 2 (141 ;55=@1D CE4ED C52E18 @5BC579 C9C9 3= D5B<5D1;=E1D1><9CDB9; "9;1 4E1=E1D1> H1>7 25BD5D1>771 141<18 fl 41> N fl @?D5>C91< <9CDB9;49 D9D9;@EC1D@5BC579141<18 1 P F?<D 4 NP F?<D 2 N P F?<D 5 >?< 3 P F?<D (?D5>C91<49CE1DE D9D9;H1>725B:1B1;*41B9=E1D1> 141<18 . !>D5>C9D1C=541> 49 D9D9; D5BC52ED 141<18 &fl "9;1 # P &= fl 25C1B =E1D1>141<18M 1 P Nfl 2 P Nfl 3 P Nfl 4 P Nfl 5 P Nfl +57E=@1< 1G1>=5=@E>H19 @?D5>C91< P F?<D D5B8141@E=9#5D9;1D5B:149;9<1D1>D1B11G1>41> E=9CE1DE=E1D1><9CDB9;C525C1B fl49<5@1C;1> 1>H1;>H1 5>5B79 H1>7 89<1>7 @141 @5B9CD9G1 D5BC52ED141<18M 1 P N" 2 P " 3 P " 4 P " 5 P " +52E18 5<5;DB?> 45>71>=1CC1 P N ;7 41> =E1D1>NP Nfl25B75B1;41B9C1DED9D9;;5D9D9; <19> 41<1= BE1>7 H1>7 @?D5>C91<>H1 F?<D<5298 D9>779ffl>5B79;9>5D9;H1>749@5B?<585<5;DB?>41<1= @5B@9>4181> ;54E4E;1> D5BC52ED 141<18M 5.P Nfl 1 5. 4 5. 2 5. 5 5. 3 5. +52E18 5<5;DB?> H1>7=E<1=E<1 491= ;5=E491> 25B75B1;=5<1<E9 2541 @?D5>C91< . "9;1=1CC1 5<5;DB?>P N ;741>=E1D1>>H1NP Nfl 5>5B79 ;9>5D9; 1;89B>H1 141<18M 1 " 4 NP N " 2 P N" 5 P N " 3 P N " +52E18 5<5;DB?> H1>7=E<1=E<1 491= ;5=E491> 25B75B1;=5<1<E9 2541@?D5>C91< . "9;1=1CC1 5<5;DB?>P N ;741>=E1D1>>H1NP Nfl =1;15>5B79@?D5>C91<>H11;1> DEBE>C525C1BM 1 P 5. 4 P 5. 2 P 5. 5 P 5. 3 5. ffiE12E185<5;DB?>45>71>)NP Nfl41> %P N ;749<5@1C;1>41B9;51411>491=@141 C11D25B:1B1; P N =#535@1D1>5<5;DB?> D5BC52ED ;5D9;1;54E1>H125B:1B1;P N =141<18M 1 P =C 2 P =C 3 P =C 4 P =C 5 P =C (14171B9CH1>7=5<1<E9D9D9;41>D5B41@1DCE1DE =E1D1> D9D9; "1B1; D9D9; 41> 141<18 ffl =5D5B (?D5>C91< 49;EB1>79@?D5>C91< 141<18 F?<D ffl<5;DB?> =1CC1% ;7 41>=E1D1> ) 3?E<?=249<5@1C49D9D9;=1;15<5;DB?>D5BC52ED 25B75B1; 45>71><9>D1C1><EBEC =5>41@1D D1=2181>5>5B79):?E<5 =5=@E>H1925C1B;535@1D1>1;89B ) % =C =5=@E>H19 @5B35@1D1> ) %ffl =C (5B>H1D11> H1>7 25>1B 141<18M 1 41> 4 2 41> 5 41> 41> 3 41> +52E185<5;DB?>=5<1:E4941<1= D12E>7@5C1G1D,. H1>725BD571>71> .5C1B>H1=?=5>DE=5<5;DB?> D5BC52EDC11D=5=25>DEB;131,.141<18M 1 P N &C 2 P N &C 3 P N &C 4 P N &C 5 P N &C +52E18;1@1C9D?BD5B25>DE;41B94E1<5=@5>71<E=9>9E= H1>7<E1C@5B=E;11>>H1= 49@9C18;1>?<58C5<5=21B ;5BD1C@1B169> H1>7 D521<>H1 ==41> ;?>CD1>D1 495<5;DB9;>H1 "9;1 0 P N fl &= ;1@1C9D1C ;1@1C9D?B D5BC52ED 141<18M 1 ff 2 ff 3 ff 4 ff 5 ff +52E18;1@1C9D?B=5=@E>H19;1@1C9D1C C525C1B ff :9;1141E41B1491>D1B1;5@9>7;5@9>7>H141> ff :9;1 1>D1B1 ;5@9>7;5@9>7>H149D5=@1D;1><5=21B1> @?BC5<5>#?>CD1>D1495<5;DB9;@?BC5<5> 141<18M 1 4 2 5 3 +52E18;1@1C9D?B;5@9>7C5:1:1B49E41B1=5=@E>H19 ;1@1C9D1C "9;1 :1B1; ;54E1 ;5@9>7>H1 49E218 =5>:149 1 2 ;1<9C5=E<141>;54E1;5@9>74935<E@;1> ;541<1==549E=45>71>;?>CD1>D1495<5;DB9;E= ;1@1C9D1C>H1=5>:149M 1 1 4 4 2 1 2 5 3
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