Diseño y evaluación de una aplicación interactiva de análisis estructural para el aprendizaje de conceptos complejos de estructuras
Full text
ÿ 1ÿ223ÿ1ÿ 456789ÿÿ75ÿ47ÿÿ55ÿ575ÿ47ÿ 5656ÿ76ÿÿ7ÿ7457ÿ47ÿ9796ÿ 9796ÿ47ÿ766ÿ 7 ÿ ÿ!"# $ %ÿ5!&'(ÿ)#*+(*, ,- . %ÿ&/ÿ ÿ0( 1ÿ 2 3456785 4ÿ:;<=>?4ÿ@7ÿAB;C748;@?@Dÿ E FBC78<;G?@54?ÿH58@5I<54?>Dÿ J FBC78<;G?@54ÿH58@5I<54?>Kÿ L7H?4<?M7B< 5ÿ@7ÿN8<4=I<=4?8ÿ@7ÿN@;6;I?I;OBÿ7ÿFBG7B;74P?ÿ@7>ÿ:7447B5KÿN8I=7>?ÿ:QIB;I?ÿR=H74;54ÿ@7ÿ S4T=;<7I<=4?ÿ@7ÿ R7C;>>?Kÿ UVÿÿWXYZ[ \]^^W_Xÿ UVUVÿÿ` aÿbcdefdgaÿhiabgdgcfajÿefÿjakÿakglfahmiakÿbeÿnkhimdhmiakÿ `aÿbcd efdgaÿhiabgdgcfajÿefÿjakÿakglfahmiakÿbeÿnkhimdhmiakÿefÿoipmghedhmiaÿeÿWflefgeiqaÿ ekhrÿdefhiab aÿefÿdcfhefgbcksÿtÿhgefeÿmfÿefucpmeÿdcfÿdjakekÿhevigdakÿtÿdjakekÿwirdhgdaksÿefÿjakÿ pmeÿkeÿiekm ejxefÿwicyjezakÿdcfÿzcbejckÿkgzwjgugdabckÿbeÿekhimdhmiakVÿ`aÿzehcbcjclqaÿ bcdefheÿdcf kgkheÿwigfdgwajzefheÿefÿdjakekÿe{wckghgxaksÿtÿjaÿexajmadgvfÿkeÿjjexaÿaÿdaycÿ zebgafheÿe{ rzefekVÿ nkheÿhgw cÿbeÿbcdefdgaÿhgefeÿbckÿjgzghadgcfekÿumfbazefhajek|ÿÿ UVÿ`aÿ ekdakaÿiejexafdgaÿbeÿjakÿekhimdhmiakÿcy~ehcÿbeÿekhmbgcVÿ`akÿekhimdhmiakÿpmeÿ wme befÿiekcjxeikeÿaÿzafcÿkcfÿzmtÿjgzghabakÿtÿfcÿkcfÿiewiekefhahgxakÿbeÿjakÿ hgwc jclqakÿpmeÿkeÿmhgjgafÿayghmajzefheÿefÿejÿdcfhe{hcÿwicuekgcfajVÿ Vÿ`aÿ weidewdgvfÿbejÿafrjgkgkÿdczcÿmfÿugfÿefÿkqÿzgkzcVÿ`ckÿekhmbgafhekÿhiaya~afÿdcfÿ zc bejckÿbeÿekhimdhmiakÿkgzwjgugdabaksÿieajgafÿjckÿdrjdmjckÿweihgfefhekÿtÿcyhgefefÿ mfÿ iekmjhabcÿkgfÿdczwiefbeiÿjakÿgzwjgdadgcfekÿbejÿafrjgkgkÿefÿejÿwicdekcÿbeÿbgkecVÿ \eygbc ÿaÿjaÿbgugdmjhabÿbeÿjaÿzaheigaÿtÿajÿefucpmeÿhiabgdgcfajÿbejÿawiefbga~esÿjakÿ akglfahmiakÿ beÿnkhimdhmiakÿkeÿiejadgcfafÿhiabgdgcfajzefheÿaÿya~akÿhakakÿbeÿiefbgzgefhcÿ rpmec aÿehÿajVsÿ3U2Vÿÿ $.ÿÿ7 (ÿ!#ÿ (ÿ# & #ÿ&&ÿ(ÿ& *&ÿ ÿ7!""&!ÿ `aÿjjel abaÿbejÿcibefabciÿhiafkucizvÿbiakhgdazefheÿejÿhiaya~cÿwicuekgcfajÿbejÿ wictedhgkhaÿb eÿekhimdhmiaksÿtÿdcfbm~cÿajÿiewjafhazgefhcÿbeÿjaÿefkeafaÿbeÿnkhimdhmiakÿefÿ jakÿekdmejakÿ hdfgdakVÿoÿugfajekÿbeÿjckÿackÿ3sÿxaigckÿamhciekÿeffgflkÿÿgjyeihsÿUÿ cfkcfsÿU ÿayigeicfÿmfÿbeyaheÿkcyieÿjckÿdcfhefgbckÿpmeÿbeyeiqafÿefkeaikeÿefÿjakÿ akglfahmiakÿ beÿnkhimdhmiakÿwaiaÿabawhaijakÿaÿjckÿzhcbckÿbeÿafrjgkgkÿmkabckÿefÿejÿdazwcÿ wicuekgcfajVÿ ÿ nfÿ33 sÿjaÿWfkhghmdgvfÿbeÿWflefgeickÿnkhimdhmiajekÿyighrfgdckÿgfgdgvÿmfÿwictedhcÿwaiaÿ ekhayjedeiÿej ÿefucpmeÿtÿdcfhefgbckÿpmeÿbeyeiqafÿhefeiÿjakÿakglfahmiakÿbeÿnkhimdhmiakÿbeÿmfÿ
ÿ 1ÿ223ÿ1ÿ 4567ÿ89ÿ98ÿ897ÿÿ6ÿ78697659ÿ9ÿ9ÿ7597ÿ97ÿ56ÿ796ÿ 4496ÿ949ÿ65ÿ979ÿ68765ÿ7ÿ3ÿ9766ÿ56ÿ4977ÿ895ÿ 4697ÿ965ÿÿ66ÿ56ÿ4676ÿ89ÿ96ÿÿ96ÿ5ÿ9568ÿ 895ÿ67 5ÿ4 ÿ89768ÿÿ!ÿ98ÿ6765979ÿ56ÿ6977ÿ898686ÿ6ÿ5ÿ"8ÿ 687659 ÿ67659ÿ89ÿ67 5ÿ6797"785ÿ5ÿ97ÿ56ÿ9886ÿ97ÿ9ÿ5697ÿ6ÿ 896556ÿ56 ÿ4977ÿ895ÿ4697ÿ965ÿ #99ÿ6ÿ 56ÿ494789676ÿ895ÿ89768ÿÿ$96976ÿ89ÿ67 5ÿ97ÿ95ÿ ÿ 49765ÿ ÿÿ97ÿ95ÿ ÿ668"ÿ949ÿ$6ÿ968ÿ%9ÿ6ÿ87ÿ&'97ÿ 8ÿ979 ÿ87ÿ9ÿ95ÿÿ895ÿ89768ÿ466ÿ649789ÿ&6ÿ 3ÿ&5ÿ 89768ÿÿ$96976ÿ466ÿ6556ÿ49ÿ7ÿ466ÿ649789ÿ9ÿ89ÿ95ÿ 8 9768ÿ9ÿ56ÿ$96976ÿ7859ÿ9ÿ6 7ÿ5ÿ568ÿ97ÿ56ÿ4 6ÿ 4 9765ÿ49ÿ7ÿ9ÿ)5ÿ466ÿ9ÿ5ÿ98679ÿ68967ÿ56ÿ4977ÿ895ÿ 4697ÿ965ÿ49ÿ56ÿ95ÿ49ÿ89ÿ957ÿ895ÿ4596ÿ ÿ&5ÿ 89768ÿÿ$96976ÿ466ÿ6556ÿÿ649789ÿ9ÿ89ÿ95ÿ89768ÿ7ÿ 9ÿ 5ÿ76ÿ$96976ÿ4979ÿ466ÿ9656ÿ 55ÿ7ÿ9ÿ*66ÿ6ÿ56ÿ 4 58689ÿ9ÿ99ÿ89ÿ56ÿ56ÿ965868ÿ9ÿ6"7ÿ7ÿ797ÿÿ)5ÿ 46 6ÿ979789ÿ95ÿ4697ÿ965ÿ 6ÿ6 +6ÿ89ÿ5ÿ69ÿ9ÿ$67ÿ9868ÿ95ÿ96ÿ97ÿ56ÿ5966ÿ9ÿ75767ÿ4ÿ95ÿ 9*78ÿ97 9ÿ,$77ÿ3-.-ÿ4ÿ9%945ÿ6*9766ÿ /010ÿ30ÿ14546146780ÿ9464:038;010ÿ14ÿ3<=ÿ>?@<1<=ÿ0A@<>B@87<=ÿ14ÿ06B38=8=ÿ46ÿ30ÿ5:B7@870Cÿ50:474:D0ÿ :0;<60E34ÿ86@46@0:ÿ46=4F0:ÿ0ÿ3<=ÿ9:01A01<=ÿ039A6<=ÿ7<6745@<=ÿEB=87<=ÿ14ÿ><14301<ÿ14ÿ4=@:A7@A:0=ÿ4ÿ86@4:5:4@078G6ÿ 14ÿ:4=A3@01<=CÿHÿ0=A>8:ÿIA4ÿ30ÿJ<:>0ÿ>B=ÿ4J47@8K0ÿ14ÿ334K0:ÿ0ÿ70E<ÿ4=@0ÿ@0:40ÿ5<1:D0ÿ=4:ÿ5:478=0>46@4ÿ>41806@4ÿ 43ÿA=<ÿ14ÿA6ÿ5:<9:0>0ÿ14ÿ06B38=8=ÿ86J<:>B@87<Cÿ46ÿ3A90:ÿ14ÿA=0:ÿ4=@:0@4980=ÿ8618:47@0=Lÿ ,9777* ÿMÿN59ÿ3-..ÿ89978+67ÿ9ÿ95ÿÿ895ÿ89768ÿ97ÿ56ÿ656ÿ98+6ÿ56ÿ 894978976 ÿ89ÿ5ÿ459%ÿ"8ÿ67659ÿÿ98679ÿ978 7ÿ6+ÿ ÿ 47868 9ÿ466ÿ9769ÿ97ÿ5ÿ649ÿ46979ÿ794659ÿ895ÿ4697ÿ OPQRSTQSRUVWÿ YÿUZ[S\R\RÿS]Uÿ^T_`aRO]P\b]ÿcORZUZORUdeÿf]ÿVUÿ`\P`UÿVg]OUeÿh_iOVVÿjkllmnÿ 789ÿ9 ÿ56ÿ49868ÿ895ÿ89768ÿ9ÿ5ÿ"8ÿ67659ÿ466ÿ896556ÿ56ÿ 77ÿ9 65ÿ o56pÿ Mÿqÿ3--rÿ4497ÿ7ÿ895ÿ466ÿ649789ÿ&6ÿ97ÿ s96 ÿ678ÿ56ÿ976%6ÿ9ÿ4476ÿ95ÿ89768ÿ466ÿ56ÿ4977ÿÿ tÿ uÿ64 89ÿ89ÿ 55ÿ9ÿ499ÿ6ÿ5ÿ98679ÿ9'49976ÿ4ÿ+ÿÿÿ 9ÿ 46ÿ56ÿ&6ÿ7ÿ87ÿ968ÿ89ÿ6*6ÿ89655678ÿ56ÿ77ÿ 9 65ÿÿ tÿ 6ÿ4 5868ÿ9ÿ99ÿ89ÿ8956ÿ96ÿ9659ÿ459%6ÿ tÿ 6ÿ6 5868ÿ466ÿ979ÿ56ÿ89686ÿ9ÿ79ÿ56ÿ64'67ÿ ÿ65ÿ65ÿ 77 697ÿ89ÿ56ÿ&6ÿ tÿ 6ÿ4 58689ÿ9'$66ÿ89ÿ977ÿ89ÿ9568ÿ97ÿ6ÿ* ÿ9ÿ 499 7ÿ986ÿ95ÿ4697ÿ*565ÿ89ÿ56ÿ&6ÿ89ÿ6ÿ$5+6ÿ
ÿ 1ÿ223ÿ1ÿ 4567589ÿÿ5955ÿ878ÿ89ÿÿÿ9858ÿ89ÿÿ5697ÿ8ÿ 77ÿ8ÿ6ÿ89ÿ7989ÿ8ÿ7587ÿ8ÿÿ9585ÿ8ÿ485ÿ8ÿ5ÿ 79ÿ6ÿÿ788898ÿ89ÿ8ÿ7ÿ8ÿ89ÿÿ8589ÿ898 ÿÿ !"ÿÿ$%ÿ &'(&)%'*%ÿ+&ÿ&(,-./,.-%(ÿ&'ÿ$%ÿ&(/.&$%ÿ+&ÿ %-0.1,&/ ,.-%ÿ+&ÿ(&21$$%ÿ !"3"ÿÿ/ 4567864ÿ9:9;<=>:4ÿ ?ÿ 895ÿ8ÿ77ÿ89ÿ8ÿ6ÿ89ÿ7989ÿ8ÿ7587ÿ8ÿ58ÿ89ÿ @ÿ5697 ÿA565ÿ8ÿBÿC5ÿ89ÿ58ÿ88ÿÿ7ÿ7ÿDÿÿ89ÿÿ 88ÿ8ÿ 7587ÿ98ÿ8ÿ8ÿ8ÿ77ÿ8ÿ895ÿ9ÿ8ÿ8 ÿ9ÿÿ 5697ÿ 77ÿEÿ8ÿ58ÿ7ÿÿ87598ÿ8A89ÿ898ÿÿ98ÿ A5ÿ78ÿ 5689ÿ8ÿ589ÿ877 ÿÿ !"!"ÿÿ% 5FG>H>Hÿ;7ÿ57:7H>;9;7Hÿ 9ÿÿ 5697ÿA5ÿ8ÿ77ÿ98ÿÿ8I5ÿ8ÿÿ98ÿ78ÿ 95789ÿ 8ÿ95589ÿ8ÿÿ5559ÿÿ98ÿ559898ÿÿ79ÿÿD958ÿ 8ÿÿ C5ÿ8ÿ885898ÿ8898ÿÿ55J9ÿ8ÿ87ÿ5658ÿ78ÿ 5589ÿ8ÿ 895KI8 ÿ9ÿ8ÿ8ÿ5ÿ78ÿ9ÿ975ÿ78ÿ8ÿ8ÿ8ÿ 575K5J9 ÿ78ÿ889ÿÿ896Dÿ5658ÿ55ÿ898898ÿÿ895J9ÿ8ÿ 98ÿ8 778ÿ8IÿLMNÿOÿP7ÿEQQ@R ÿÿ S9ÿ 8ÿ85ÿÿ8ÿ8ÿÿ8589ÿ79ÿ955ÿ8ÿ98858ÿ855Jÿ 8859ÿ 78ÿ89ÿÿ98ÿ8ÿ885ÿ557ÿÿÿ87598ÿ89ÿÿ 5697ÿ 8ÿ77 ÿP8ÿ898ÿÿ98ÿ58955ÿÿA85ÿ8ÿ 86589ÿ Tÿ8ÿ7ÿ8ÿ878Kÿÿ56ÿÿÿ575K5J9ÿ8ÿÿ8 ÿ ÿ U"ÿVW,X+ Xÿ ÿ8 898ÿ875ÿ5898ÿÿAI85ÿ8ÿ58Yÿÿ875J9ÿ8ÿ79ÿ55J9ÿ 5985ÿ 8ÿ955ÿ8ÿ877ÿÿ89ÿ78ÿ558ÿ8ÿ895KI8ÿÿCÿ8ÿÿ 88589 5J9ÿ8ÿ98ÿ859ÿ9ÿ878Kÿ5989ÿÿ8598ÿ89ÿ 877ÿ 9 ÿ 486Z9ÿ [989ÿLEQQ\Rÿÿ87ÿ8ÿ895KI8ÿ8A89ÿ5975ÿÿÿ87598ÿ 89ÿÿ 8I5ÿ8ÿÿ85ÿ59ÿÿ5899ÿ7ÿ755ÿÿ7ÿ5ÿ8ÿ K9589 ÿ8ÿ598959ÿÿ55J9ÿ85ÿ8ÿÿ8D ÿ?ÿ885J9ÿ8ÿÿ896Dÿ ÿ87 ÿÿ88ÿAI85ÿ8A8ÿ85K8ÿÿÿ7Kÿ8ÿÿ8Dÿ6955ÿ8ÿ 895KI8ÿ ÿ55ÿ8ÿ8589ÿ6955ÿ8ÿ98ÿ8IÿL]8ÿEQ\QRÿ ÿ9 8ÿ89ÿ896Dÿ5658ÿ78ÿ5589ÿÿ895J9ÿL575K598ÿ 57598 ÿ8 R ÿ P8ÿ7 8ÿ9ÿ]85ÿL3^^@RÿÿCÿ8ÿ898Y9Kÿ55ÿ9ÿ89ÿ8ÿ 7889ÿ 55ÿ89ÿ8ÿ5ÿ86Z9ÿÿ55J9ÿ875ÿ89ÿ78ÿ8ÿ89Tÿ8ÿ8978ÿ 975 ÿ8ÿ8ÿÿ56Dÿ6955ÿÿ8ÿ9755ÿLP7ÿOÿ[989ÿEQQ3R ÿÿ 58Yÿ8ÿ ÿ55J9ÿ5985ÿ8ÿÿ8ÿÿAÿ86Z9ÿ8ÿ56ÿ9755ÿ
ÿ 1ÿ223ÿ1ÿ 45ÿ6784ÿ94968ÿ4ÿ898ÿ8759995ÿ4ÿ798ÿ65ÿ89ÿÿ48ÿ9869ÿ ÿ48ÿ599498ÿÿ6895ÿ494ÿ 8ÿ 55458ÿ798ÿÿ88ÿÿ48ÿ9968695ÿÿ ÿ!ÿ"75ÿ#$%&%'ÿ88ÿ4ÿ 85445ÿ ÿ565ÿ56ÿ74998(ÿ &ÿ*9 8ÿ8(ÿ9+5ÿ ,ÿ -9+5 ÿÿ#&'ÿ98ÿ#$'ÿ7678ÿ#3'ÿ6595ÿ#.'ÿ98669ÿ65ÿ4ÿ77895ÿ ,ÿ -996 9ÿÿ48ÿ898ÿÿ/847869(ÿ6969ÿÿ6995ÿÿ975ÿ8ÿ 84968ÿ 88ÿ98ÿ48ÿ968698ÿ4ÿ565ÿ $ÿ" 78ÿ8(ÿ94869ÿ ,ÿ 0869 ÿÿ5595(ÿ485869ÿÿ48ÿ8496869ÿ65ÿ85445ÿ8ÿ9/4ÿÿ5595ÿ 14ÿ5 88ÿÿ854482ÿÿ478ÿ*569ÿ7ÿ478ÿÿ58869ÿ 885 ÿÿ38/8ÿ59985ÿ88ÿ565ÿ74998ÿ ,ÿ 458 49869(ÿ78ÿÿ26968ÿÿ/847869ÿ4ÿ588ÿ9869/5ÿ985ÿ ÿ7ÿ 55ÿ65769/98ÿÿ898ÿÿ48ÿ89878ÿÿ17678ÿ&ÿ4ÿ 85ÿ ÿ 785ÿÿ5679678ÿÿ48ÿ16748ÿ76968ÿ"795ÿÿ5679678ÿ ÿ"/9 448ÿÿ ,ÿ -8 5445ÿÿ48ÿ8898(ÿ5996869ÿÿ58ÿ4ÿ5595ÿ9+5ÿ984ÿÿ48ÿ 849686 9ÿ ,ÿ 1/8478 69ÿ984ÿÿ979ÿÿ48ÿ8898(ÿ/847869ÿ789/8ÿ67ÿ7ÿÿ78ÿ /99 ÿ5ÿ8ÿÿ5ÿ#5585'ÿÿ7ÿ795ÿÿ685ÿ#885ÿ65ÿ4ÿ 8478 5'ÿ 9:ÿ<=>?@@ ABBAÿ 9:C:ÿÿ< DEDFGHIJKHLIÿMDNÿKOIEDIHMOPÿHIEDFQJRÿSÿDTEFUKEUFJÿMDÿNJÿVDFFJGHDIEJÿ 8ÿ9/ 9869ÿ88ÿ48ÿ9996869ÿÿ698ÿÿ849ÿ5ÿ95ÿÿ /98ÿ 84988ÿ8ÿ6785ÿ798ÿ67ÿ6785ÿ48ÿ89878ÿ17678ÿ&ÿÿ675ÿ 895ÿ 8ÿ/98ÿ7/95ÿ7ÿ6826ÿ976785ÿÿÿ448ÿÿ4885ÿÿ 6795ÿ8 98(ÿ &ÿWX7 ÿ865ÿÿ48ÿ89878ÿ4869585ÿ65ÿ4ÿ898ÿÿ75ÿ 9 5ÿÿ95ÿÿ68785ÿ85ÿ996748Yÿÿ $ÿW1 ÿ67ÿ6ÿ67ÿ8968ÿ48ÿ996748ÿ67ÿ98ÿ78ÿ7ÿ898Yÿ 3ÿWX7 ÿ6895ÿ58ÿ869498ÿ4ÿ898ÿÿ5ÿ6565Yÿ 8ÿ 78ÿÿ45ÿ8475ÿ75ÿ884988ÿ65ÿ6968ÿÿ82499ÿ6784989/5ÿ 88ÿ78ÿ 5ÿ659ÿÿ48ÿ698ÿÿ48ÿ879698ÿ658ÿ8ÿ78ÿÿ 64899685ÿ ÿ6858ÿ88ÿ99968ÿ48ÿ6878ÿÿ48ÿ996748ÿÿ898ÿ8ÿ 96984ÿ 996748ÿÿ898ÿ999688ÿ5ÿ45ÿ798ÿ4869588ÿ65ÿ45ÿ 6565ÿ ÿ75ÿÿ9ÿ75(ÿ ,ÿ -99674 8ÿ88ÿ9979ÿÿ55ÿ465ÿÿ588ÿ
ÿ 1ÿ223ÿ1ÿ 4ÿ 678997ÿ9ÿ989ÿ99ÿÿ7ÿ9ÿÿÿÿ7ÿ97ÿ9ÿ7ÿ 4ÿ 67879ÿÿ97ÿÿ7ÿ9ÿ989ÿÿÿ97ÿ 4ÿ 6787 9ÿÿ777ÿÿ97ÿ999ÿÿ9ÿ9ÿ97ÿÿ ÿ ! ÿ7ÿ9"ÿ9ÿÿ997ÿ7ÿÿÿ979#ÿ $%ÿ'()%*+,ÿ-)%ÿ%.ÿ/*0.(0/0,ÿ1%ÿ(,23'4'ÿ+0230.5)0*ÿ%.3*%ÿ67%809.ÿ:ÿ7'ÿ+%6,*1'(09.;ÿ<%.2'4'ÿ-)%ÿ7'ÿ67%809.ÿ %2ÿ7'ÿ+%6,*1'(09.;ÿ<,*-)%ÿ7'ÿ67%809.ÿ2%ÿ/'*%(%ÿ'ÿ7'ÿ+%6,*1'(09.;ÿ =7ÿ(>,-)%ÿ+%ÿ>'(%*ÿ?@20('ÿ:ÿ7)%5,ÿ=23*)(3)*'2Aÿ%2ÿ-)%ÿ>':ÿ1)(>'2ÿ(,2'2ÿ-)%ÿ%.ÿ3%,*@'ÿ2,.ÿ7,ÿ1021,ÿ/%*,ÿ 7)%5,ÿ.,ÿ%2ÿ%7ÿ1021,ÿ%.6,-)%Aÿ:ÿ*%2)73'ÿ(,.6)2,ÿ'+'/3'*ÿ%7ÿ(,.,(010%.3,ÿ/*%B0,;ÿ Cÿ7 79ÿÿ9ÿ7Dÿ7879ÿ9ÿ99ÿ787ÿ9ÿ9ÿ9#ÿ 4ÿ E99 97ÿ9ÿÿ7ÿÿÿ97ÿÿ787ÿÿ9Fÿ9ÿÿ97ÿ 4ÿ C ÿ9ÿ99ÿ9ÿ97F9ÿ9ÿÿ989ÿÿÿ98ÿ 4ÿ G7 7ÿ8ÿ99ÿ9ÿ989ÿHÿ7ÿ9ÿÿ7ÿ9ÿ7ÿÿ9ÿ 98 9ÿHÿ777ÿÿ7ÿ9ÿÿ7ÿ9ÿÿ IJKJÿMJNÿOMNOPQMÿRMÿSOTUVMWRXJYÿJÿNOQZÿXQÿ[\WQYÿ]OSJÿ^ROÿMJÿXJÿQNJT\V_QKJN`ÿaROÿMOTON\UJÿQNJT\QSXJÿ TJMÿQXWJÿbcN\TJ`ÿdXWJÿSOQXYÿeÿXROWJYÿTJKJÿXQÿfObJSKQfQÿMJNÿXQÿOMNOPQMÿNOKQMQNÿKVNÿUQSfO`ÿgJÿXJÿOMUOMfcQYÿ +%ÿ%.3*'+'Aÿ'75,ÿ3'.ÿ'423*'(3,Aÿ20.ÿ>'4%*ÿB023,ÿ'75,ÿ*%'7;ÿ 9ÿ ÿ7 9ÿ79ÿ97ÿÿÿ979ÿÿ9ÿÿ 7879ÿ 9ÿ9"979hÿÿHÿ999ÿ#ÿ 4ÿ !9 7F9ÿÿ9997ÿ7H9ÿ9ÿ98ÿÿÿ989ÿÿ 4ÿ i99 7ÿ9ÿ9"79ÿÿÿ8ÿÿ9ÿ989ÿ7ÿ9ÿÿ7ÿ9ÿ7ÿ 4ÿ E99 97ÿ7797ÿ7H9ÿ9ÿ7hÿ9 hÿ989ÿÿ979ÿ j5)'7ÿ%23%ÿ+0'5*'1'ÿ2%ÿ%.30%.+%ÿ1)(>,ÿ1k2ÿ6k(071%.3%ÿ20ÿ%.ÿB%lÿ+%ÿ+04)m'*7,ÿ(,1,ÿ).ÿ*%(3k.5)7,Aÿ/)%2ÿ2%ÿ +04)m'ÿ(,1,ÿ).'ÿB05'ÿj<=;ÿ<,*-)%ÿ%.3,.(%2ÿ:'ÿ2'4%1,2ÿ(7'*'1%.3%ÿ-)nÿ%23'1,2ÿ+04)m'.+,;ÿ ÿ 97hÿÿ9ÿ9ÿÿ7879ÿ9Hÿ97ÿÿÿ987799ÿ 9997 ÿ9ÿÿ9ÿÿÿ9hÿÿÿÿÿ97ÿ99ÿ9#ÿ 89o98 hÿ7o97ÿ pqrqÿt uvwxwywzxÿ{uÿ|}~ÿ}uw}~ÿ{uÿ|ÿuwuxÿ ÿ9 ÿ79787ÿÿ7879hÿ9ÿ77ÿ F97ÿ9ÿÿ77ÿ797ÿ 89ÿÿ7 77ÿ7797ÿ7H9ÿ9ÿ79ÿ9ÿ9ÿ989ÿÿ98ÿ9ÿ ÿ9 hÿÿ7 77ÿ9ÿ9 99ÿ78999ÿ799ÿ9ÿÿÿ9ÿ99ÿ9ÿÿ ÿÿ999 7ÿ9ÿ989ÿÿ979ÿ ÿHÿ9 98799hÿÿ F97ÿ9ÿÿÿ97ÿ89ÿÿ7799#ÿ 4ÿ 67 F ÿÿ7ÿ9ÿ989ÿ9ÿÿ9hÿ77ÿÿ9ÿH"7ÿ
ÿ 1ÿ222ÿ1ÿ 3ÿ 56789ÿÿÿÿÿ88ÿ 3ÿ 6ÿÿ686ÿÿÿ66ÿÿ8ÿ66ÿÿÿ6ÿ ÿÿ 88ÿÿ8ÿÿ8ÿÿ6ÿÿ6ÿ6ÿÿ ÿ !6 ÿ8ÿÿ796ÿ"6ÿÿ6ÿ88ÿÿÿ8ÿ 3ÿ #686 ÿÿ6ÿÿÿÿ8ÿÿÿ88ÿÿÿ6ÿ68ÿ 76 ÿÿ6ÿÿÿÿ66ÿ$ÿ8ÿ66ÿÿÿ8ÿ 8 8ÿÿ ÿ6ÿ6ÿÿ 3ÿ % ÿÿÿ6ÿÿ&88ÿ68ÿÿ6789ÿÿÿ7ÿ 'ÿ ÿ6 ÿ 3ÿ (66 ÿÿ686ÿÿÿ "ÿÿÿ&88ÿ)$ ÿÿ9ÿ6*ÿ 3ÿ +66 ÿÿ866ÿ6$6ÿÿ"6ÿÿ66ÿ8ÿ66ÿÿ6ÿ ÿ ÿÿ ,-.-ÿÿ0 1234526789ÿ:;ÿ<54=4=7<4ÿ >ÿ7 ÿ8ÿ?ÿ66ÿÿ6ÿÿ@5ÿÿ6ÿÿ8ÿ ÿÿ6 ÿ 76ÿA6 ÿ)%ÿBCDD*ÿ6ÿÿÿ6866ÿÿ6ÿÿÿÿ8ÿ 88ÿ ÿ66ÿÿ6Eÿ66ÿÿ88ÿ>ÿ6ÿ8ÿ6ÿÿ 9ÿ6 ÿÿÿ ÿÿÿÿÿ86ÿÿ&ÿ?ÿ 6766ÿÿ 6866ÿÿ6ÿÿÿ8ÿÿÿÿÿÿ88ÿ+ÿ (6 8ÿDÿ8 ÿ8ÿ8ÿÿÿÿ ÿ ÿ ( 6 8ÿDÿFÿÿ886ÿÿ ÿÿ68ÿ88 Gÿ &ÿ" ÿ ÿÿ866ÿ6ÿÿ ÿÿÿ6 86ÿ
ÿ 1ÿ223ÿ1ÿ 45ÿ67897ÿ7ÿÿ5ÿÿ7ÿ5ÿÿ5ÿÿÿ477ÿÿ7ÿ5ÿ 77ÿÿ65ÿÿ7ÿ5ÿ5ÿ885ÿÿ678985ÿ96ÿ5ÿ588ÿ 9788ÿ45ÿÿ857ÿÿ896ÿ ÿ ÿ ÿÿ688 5ÿÿÿ5ÿ685ÿÿ8 5ÿ78ÿÿ98985ÿ5ÿ ÿ5 ÿ!"ÿ#ÿ9$%ÿ ÿ &785 ÿÿ6985ÿ'ÿ87ÿÿÿ(79ÿÿ77ÿÿ5ÿÿ7ÿ 5ÿ(7 9ÿÿ77ÿ9ÿ76ÿ8ÿÿÿ477ÿÿ98985ÿ5ÿÿ 5 ÿ ÿ ÿ7 5ÿÿ7ÿ5ÿ5ÿÿ85ÿÿ857ÿ95ÿÿ7ÿ5ÿ (79 ÿÿ77ÿÿ5ÿÿ6ÿ5787ÿ ÿ 45ÿ ÿ878 5ÿÿ78)ÿÿ77ÿ5ÿÿÿÿ ÿ 8ÿÿ 7ÿÿ5ÿÿ5ÿ5ÿ5ÿÿ*ÿÿÿ+8878ÿ'ÿ858ÿÿ 67 ÿ878ÿÿÿ45ÿÿ5778ÿ8588ÿÿ885ÿ857ÿÿ896ÿ 5ÿÿ+ ÿÿÿÿ7687ÿÿÿ67ÿ ,5ÿ ÿÿÿÿ85ÿÿÿ77ÿÿ76755ÿÿ879ÿÿ 7ÿ5 ÿÿÿ77ÿ 2ÿ-4,./ 01ÿ 2343ÿÿ6 789:8;<=>ÿ?@A9<B<>8@ÿ;C>ÿ?@CDAEC@AEÿ 4ÿ67 86ÿÿ98 ÿÿ5ÿ8 5ÿ798ÿ67ÿ67ÿÿ677ÿÿ 6795 ÿÿ477ÿÿÿ4./ÿÿ8ÿ5ÿÿ)8ÿÿ677ÿÿ688 5ÿ 4ÿ7 ÿÿÿ8 5ÿ75ÿ5ÿ78ÿÿ6ÿ688ÿ6ÿ58ÿ'ÿ 676ÿ ÿ9)7ÿ FGHGHGÿJ KLMNLOPQRSÿPSORNTUSÿOUSLTLVUSÿ ÿ W7 7ÿ8578ÿ5ÿ76ÿ8598ÿ ÿ X57 ÿ78ÿ78ÿ8588ÿ'ÿ8ÿÿ7ÿ ÿ "88 ÿ'ÿ78ÿ5ÿÿ888 5ÿ5ÿ896ÿ7ÿÿ7ÿ'ÿ79ÿ YZ[\]^ Zÿ`Z[ÿab\cÿ`d[edfÿZg^cgÿdhÿad\i]d[ÿhdÿgZaa]bfjÿhcgÿZfhdaZgjÿZ^akÿ ÿ 4 8 5ÿ58ÿÿÿ6ÿ5ÿ7ÿ5ÿ896ÿ7ÿ+ÿ676785ÿ5ÿ 88 8 5ÿ8588ÿÿÿ7ÿ'ÿ7985ÿ ÿ ÿ85 798 5ÿ+ÿ57ÿ85ÿ5ÿÿ658ÿ88ÿ FGHGlGÿJ KLMNLOPQRSÿPSORNTUSÿMRmPTLVUSÿ ÿ X5 8 5ÿÿ968ÿ/688 5ÿÿ7878ÿÿÿ88ÿÿÿ 587 ÿ
ÿ 1ÿ223ÿ1ÿ 4ÿ 67879ÿÿÿÿ7879ÿ9ÿÿ9ÿ97ÿÿ 797ÿÿÿ 4ÿ 8 ÿ7 ÿ9ÿ!979ÿÿÿÿ"7ÿ 4ÿ #9ÿ9 ÿÿÿ$ÿÿ ÿÿÿ ÿÿ9ÿÿ8ÿÿ897ÿ 4ÿ %ÿ ÿ777ÿÿ97ÿÿ!ÿÿÿ9&ÿÿÿÿ 97 ÿÿ'ÿÿÿ997ÿ9ÿÿÿÿÿ9ÿ97ÿ 4ÿ %ÿ ÿ977ÿÿÿ9!9ÿ ()*)+)ÿ- ./01/23456ÿ2.72856936ÿ:5ÿ;5<7.3ÿ 4ÿ => ÿÿ77879ÿÿ977ÿÿ797ÿ?'7ÿÿÿ7ÿ ÿ ÿ97 ÿÿÿÿÿ 4ÿ @97 ÿ97ÿÿ7ÿ 77ÿ9ÿ8ÿAÿÿ8ÿ77ÿ 97 ÿÿ9ÿ 4ÿ ?'7 ÿÿ9ÿÿ9ÿ"7ÿÿ9!ÿ 4ÿ => ÿ97ÿÿÿ99B79ÿÿÿ&ÿ997ÿÿ7ÿ 4ÿ # ÿ!879ÿ9ÿÿ7897ÿÿ7ÿ!ÿ797 ÿ9ÿ777ÿÿ 97 ÿÿBÿÿ997ÿÿ7ÿ8ÿ7ÿÿÿÿ ÿ CDEDÿÿG HIJKILMNOÿPMOIJÿLQOÿIJKROQSÿ T! ÿÿÿ 97ÿ7ÿÿÿ8ÿÿÿ7ÿÿ 79 ÿÿÿÿÿ>ÿÿ7ÿUÿ 7ÿ87ÿÿÿ7997ÿ ÿÿÿVW ÿ>9797ÿÿ9ÿ7ÿÿÿ97ÿÿ97ÿ9ÿ ÿÿ7 ÿX9ÿVÿÿÿÿ%ÿÿ?$79ÿÿÿXYZ?ÿÿ Z 7ÿÿ ÿ7ÿÿÿ 97ÿ7 ÿÿÿÿ[\ÿÿÿ7ÿÿ 9ÿ ÿÿ7ÿ]ÿ8ÿÿÿ^7_ÿÿ ()`)*)ÿa 395b7.c36ÿ:5ÿ280976ÿd85.956ÿ;e6ÿd.51850956ÿ Vÿ%977 ÿÿ 7797ÿÿÿÿÿÿÿÿÿ%997&ÿ`fghfÿÿ Xÿ ÿ8ÿ$ÿÿ77ÿ9ÿ!ÿ8997ÿ!ÿ97ÿ9ÿÿ777ÿ $ÿ89ÿ ÿÿÿ 77ÿÿ8ijklÿjnopqlÿrÿjsltpuvlwÿxyizÿu{uÿojiopiuÿi|iu}wÿ tlÿjsuo{suvlÿ qsÿtlÿsuvj{yv{jlÿlzvsÿqpuvpzvluÿupv{lypizsu~ÿsÿvjlvlÿqsÿ{zÿlojszqpl|sÿxpu{lt}wÿ $ÿ7ÿ ÿ77ÿ!ÿ7ÿÿÿ7ÿ 695ÿ9/27ÿ:5ÿ319//:3:56ÿ076ÿ38:3ÿ3ÿ5.ÿ43ÿ569.8198.3ÿ3ÿ50950:5.43ÿ3ÿ5.ÿ17;7ÿ65ÿ;855ÿÿ686ÿ280976ÿ :/456)ÿ5ÿ79.3ÿ;305.3ÿ97:7ÿ65.c3ÿ08;5.747bc3ÿÿ65.c3ÿ;e6ÿ:/dc1/4ÿ:5ÿ5.ÿ1;7ÿ56ÿ43ÿ.534/:3:)ÿ ÿ%977 ÿÿÿÿÿÿÿÿÿÿÿÿÿ%997&ÿ*`g`fÿÿ
ÿ 1ÿ223ÿ1ÿ 45ÿ6789ÿÿ85ÿ75ÿÿ985ÿ87ÿÿÿÿ8ÿÿ979ÿ 95ÿ9757ÿÿ975ÿ7887ÿ5ÿÿ5ÿÿ77ÿ 8ÿ7ÿÿ9ÿÿ5ÿÿÿÿ575ÿ ÿ!"#$!ÿ!ÿ%&$'ÿ(!)'ÿ*&(!(ÿ(+,ÿ-,'ÿ.#ÿ%&,'/ÿ!ÿ0!*'ÿ,1/'&(2ÿ/3(ÿ&ÿ/,&(ÿ+,-#+-+4!/,-555ÿ 6ÿ8 ÿÿ9757ÿ5ÿ975ÿÿÿÿÿÿ:785;ÿ<<=>?ÿÿ 45ÿ9 75ÿ975ÿÿÿ85ÿ58ÿ75ÿÿ9ÿ 99ÿÿ 9ÿ@8ÿ75ÿÿÿÿ9757ÿ985ÿÿ7ÿ 79ÿÿ7 98ÿÿÿ7887ÿÿ977ÿÿ977ÿÿ795ÿAÿ97ÿ ÿÿ97 5ÿÿ975ÿ7887ÿ B(ÿ$ÿC'!,ÿ#-+D+$!$ÿ%&'.#ÿ,&ÿ(&D&ÿ/#(-'!ÿD!(ÿ*&,(*#,*+!(ÿ$ÿ#,!ÿE#'F!ÿ,ÿ*&,*'-&2ÿ(+,&ÿ.#ÿ$!ÿD!ÿ %&(+)+D+$!$ÿ$ÿ+'ÿ*!/)+!,$&ÿD!ÿ/!C,+-#$ÿ$ÿ$+*0!ÿE#'F!2ÿDÿ%#,-&ÿ$ÿ!%D+*!*+G,ÿ&ÿD!ÿE&'/!ÿ,ÿD!ÿ.#ÿ(ÿ!%D+*!ÿ D!ÿE#'F!5ÿ HÿA 8ÿÿÿÿÿÿÿÿÿÿÿÿ:785;ÿI=>?ÿÿ J685 ÿ85ÿK75ÿÿ95ÿÿ97L5ÿ5ÿÿ@8ÿÿ979ÿ 87ÿ ÿ78ÿ5ÿ79ÿÿ8ÿ58ÿÿÿ7ÿ7ÿ97ÿÿ 977ÿ5ÿ ÿ977ÿM6N5ÿÿ85ÿÿ97L5ÿ85ÿÿ59ÿÿ7ÿ O!ÿ$+E',*+!ÿ(ÿ.#ÿ!.#Pÿ-ÿD&ÿ4(ÿ*G/&ÿ/3(ÿQ!*-&2ÿDÿ%'&E(&'ÿDGC+*!/,-ÿ(!)'32ÿ%'&ÿ0!"ÿ4*(ÿ.#ÿ,&ÿ (ÿ4ÿ-!,ÿ*D!'&ÿ%&'.#ÿ(ÿ#,ÿ$+)#R&ÿ!ÿ/!,&2ÿ!DÿE+,ÿ"ÿ!Dÿ*!)&5ÿS.#PÿD&ÿ.#ÿ-ÿ$!ÿ(ÿD!ÿE!*+D+$!$ÿ$ÿ.#ÿD&ÿ4(ÿ Q!*-&5ÿ T5>5>5ÿU !-C&'P!(ÿ$ÿ%#,-&(ÿ$V)+D(ÿ/3(ÿE'*#,-(ÿ WÿX 5ÿ5ÿ85ÿÿ97L5ÿÿ977ÿÿÿ ÿÿÿ:785;ÿ>Y=>?ÿÿ Aÿ985 ÿZÿ55ÿ97ÿÿ85ÿ5ÿ7ÿ785ÿ8ÿÿL5ÿ 5ÿÿ9 ÿÿ977ÿ977ÿ[8ÿ75ÿÿ5ÿ97ÿ9757ÿ ÿ578 5ÿ975ÿÿ7ÿÿÿ67\ÿÿL5ÿÿÿ77ÿÿ ],&ÿ$ÿD&(ÿ%#,-&(ÿ$V)+D(ÿ('P!ÿD!ÿ+,*!%!*+$!$ÿ$ÿC,'!'ÿ/3(ÿ%&(+)D(ÿ(+(-/!(ÿ(-'#*-#'!D(5ÿ^!ÿ.#ÿ,ÿ *!(&ÿ$ÿ.#''ÿ0!*'ÿ#,!ÿ(-'#*-#'!ÿ.#ÿ(-Vÿ*&/%#(-!ÿ%&'ÿ#,ÿ,#/'&ÿD4!$&ÿ$ÿ%G'-+*&(2ÿ(-ÿ(+(-/!ÿ(ÿ,&(ÿ .#$!'P!ÿ(*!(&ÿ%!'!ÿ%&$'ÿ0!*'ÿ"ÿ,-,$'D&5ÿ _ÿ`8 ÿÿ5L5ÿÿ8ÿÿÿÿÿÿÿÿ:785;ÿ<<=>?ÿÿ J685 ÿ85ÿ8975ÿ8ÿ97ÿ57ÿÿ87ÿÿ979ÿ5ÿ85ÿÿ 57977ÿ ÿ57ÿ5787ÿ5ÿÿ a#+F3(2ÿ!DC1,ÿ%#,-&ÿ$V)+Dÿ%&$'P!ÿ('ÿD!ÿ+,-'E!Fÿ$Dÿ%'&C'!/!5ÿU'&ÿ.#ÿ%&$'P!ÿ(+/%D+E+*!'(ÿ"ÿ('ÿ/3(ÿ (,*+DD!ÿ$ÿ/!,R!'555ÿ T5>5Y5ÿb (#/,ÿ$ÿD&(ÿ'(#D-!$&(ÿ$ÿD!ÿ4!D#!*+G,ÿ Xÿ7 85ÿÿÿ985ÿ87ÿÿZÿÿ79ÿ5ÿÿ585ÿÿ 875ÿ5 ÿÿ:687ÿ_ÿAÿ985ÿ87ÿÿ79ÿÿÿÿÿ98L5ÿÿÿ
