Q MnZkQ maXc}cbSmq=~+ $KNS¢®¢Q - orre. · PDF fileZLUXuNaXc[ugQmI¯®xU...

$: Q MnZkQ maXc}cbSmq=~+ $KNS¢®¢Q - orre. · PDF fileZLUXuNaXc[ugQmI¯®xU Zk°PS»SkKN_h Ãa S·ZLQT_mUX XuNOÎLO}U u aduNM/ltUXIkUXZ_6U u ILZkU cÄ¶[OÎORS§JKgOÎLQ!ZLQTa S\U uNadŃc}Q:ILU$
� � �� !�� #" �$"% ��&��'� ��" ()��+*,�� .-/�

021436587:9);�<=<=>@?!AB7:9�>C<=D�EF587:DG7:>C<HJILKNMPORQTSVUXWGY[Z\ILO^]`_6ObadcfeCQTKgZhadciH$jPS\IkQmlnS

o QTpPITqrUdWse[KgltQmZLOR_TadcfY[uNadcRjPS\ObSVaduNMwvxU l4pNKPIkQTZ[HP_6ORQmuN_mQy Uzj adc�{|uNS\IkO}IkKgIkQ�UdW=~�QT_h�gugU c}U �Xj

�P�[�'��f��C�[�'�i�:�`��=��\�X� �.� ��`��L��g�d��@��r�h�X�m�A��:Di s<=5�¡¢

Y£l4QmIk�gUPM¤W¥UXZ¦S\Q�§JKgQmuJIkObadc4pNadI\IkQTZku¨ZkQ�_6UX� ugO}IkORUXuäXuNM©pgZLQTMPOb_ªILO}U uÖRu« a¬jXQ�S\ObaduugQ6I¯®¢UXZL°PS:ORSwO}u$±XQ�S¯ILO}�JazILQTM²q³~+�gQFŃa S\Ob_¦adpgpNZkUJaX_h�O}u�IL�gORSltQ6IL�gUPM¦ORS.IkUµaXMgM¦S\IkORl.KNc}KNS4MPQTcRa¬jµc}ORugQ�S8ILU!aduFa SkSkUP_6ObazILO}± QnugQ6I¯®¢UXZL°�¶Ik�$KNS�_mUXu$±XQTZ\ILO}uN�·IkQTltp�U ZLaXc�S¯ILZkKN_6IkKgZLQ@IkU�a�SkpNadIkObadc=UXuNQXq4HPUXltQtl4QmIk�P¸UPMgS�ILUwa¬±XU ORMµ±XQTZkj¹cRaXZk� Q·_6UXuNugQT_6IkORUXu�lnazIkZLOb_6QTS.adZLQ·S¯ILKNMPORQTM²q y Q�S\Kgc}ILSSk�gUz®Ik�NadIºO}I�ObSCpÙ SLS\OR´gcRQ8ILU»Q6¼·_mO}QTu ILc}j�S\IkU ZkQ.SkQT§JKgQTuN_6Q�SCORu¹a·uNQ6I¯®¢UXZL°®V�gQTZkQ�Ik�NQ8_6UXuNugQT_6IkORUXu�ltadIkZLO^½�ORSCS\IkZLUXuN�XcRjnZkQ�MPKN_6Q�M²q

¾ ¿ 5�¡�À·Á.<=14Â�7:9vxUXu�S\ObMPQmZLORug�4_mQmZkILaXO}u�aXSkp�Q�_ªILS¢UXW�ORuPW¥UXZLlnazIkORUXu�pgZLU$_mQTSLS\ORug�4p�QTZ\W¥U ZkltQ�M·´$j·´gORUXcRUX� OR_TadcùgQmKP¸ZLUXuNaXc[ugQmI¯®xU Zk°PS»SkKN_h�Ãa S·ZLQT_mUX�XuNOÎLO}U uaduNM/ltUXIkUXZ�_6U u ILZkU cÄ¶[OÎ�ORS�§JKgOÎLQ!ZLQTa S\U uNadŃc}Q:ILUaXSLSkKgltQ.IL�NazI'Ik�NQ@ILZkQ�azILl4QTuJI�UXW�IkQTl4pÙXZhadcGpNadI\ILQmZLuNS'ORS'a»W¥KguNMgaXltQmuJILaXc=pgZkU p�QTZ\I¯j:UXWrIk�NQugQTZk± UXKNS=SkjPS¯ILQml:q�{|utIL�gQC_ma S\QVUXW�aXKNMPO}IkU Zkj@ZkQ�_6UX� ugO}IkORUXu@Ik�gQ[_mUP_h�gc}Q�a�p�QTZ\W¥U ZklnS�SkUXltQ6IL�gORug�§JKgO}IkQ·SkO}ltORcRaXZ'IkUwaduµQmcRQT_6IkZLUd¸�ltQT_h�NaXugOR_Tadc=MPObSk_mZkQmIkQnÅgU KgZLO}QTZ'IkZhaduNS\W¥UXZLlÆUdWxIk�gQ�S\U KguNM!O}uP¸pgKPI�q�~+�NQnl4Q�_h�NaduNOR_Tadc�pgZLQTSLSkKgZkQt±zadZLObazIkORUXu�S�adZLQt_mUXu$±XQTZ\ILQTM¹IkUwa�ILO}ltQ·±zadZLj$O}uN��p�azI\ILQmZLuUdWCORuJIkQTuNS\O}IkORQTS@W¥U Z8Ik�NQ�MPQ�_6UPMPQ�M�W¥ZkQ�§JKgQmuN_mO}Q�SmqFvxQmZkILaXO}u#S\U KguNMgS@adZLQ»UXuNc}j¦MPObSk_mZkORltO}u�ad´gcRQMPKgQ»IkU¹Ik�gQTO}Z@IkQTl4pÙXZhadc¢pgZLUXp`QmZkIkORQTSTq¹ÅgU Z.ORuNS\ILadu�_6QX¶=®V�NQmu�a¹ZkQ�_6UXZhMPQ�M�pgORaXugUwObS.pNcRa¬j QTMŃa _h°J®+adZhMgS=O}I+®VO}cRc`_mQmZkILaXO}ugcRjtugUdI¢´�Q�ZLQT_6U �XugORÇmQ�MtaXS¢a8pgObadugU�qs~+�NQ�SLadltQCQmÈ`Q�_ªI+ORS¢S\QTQmu·U u�gOR�X�gQTZºcRQm± Qmc=adK�MPO}U�p�QTZL_mQmpPILO}U uf¶fSkKN_h�¹aXS�cRORS\IkQTugORug�·ILU�ltQmcRUPMPORQTS�UXZ'S\p`QmQ�_h�¹Kgu�MPQmZhS¯IhaduNMP¸ORug�Nq¦Y[StaXugUdIL�gQmZ@Q6½gadltpgcRQ�®¢Q�_mUXKgcbMF_mUXuNSkORMgQmZ4l4UXIkU ZkOb_·QmÈ`QTZkQTuN_6Q q!É/�gQTu#� QmugQTZLadIkORug�ltUdILUXZtaX_ªILO}U uNS4S\KN_h�ÊaXS4S\p`QmQ�_h�#aXuNMFcRUP_6UXltUXIkORUXuf¶=´ÙdIL�#a!pgZkQ�_6ObS\Q»IkORltO}ug��adu�MFpgZLQT_mORSkQpNadI\IkQTZku�S@UXW[l.K�Sk_mc}Q:aX_6IkOR±¬adIkORUXuÊS\Q�§ KNQmuN_mQTS4adZLQ�Q�SkSkQmuJIkObadcxW¥UXZnaXu#aX_T_6KgZhazILQ»ZLQTSkKgc}ITq�Ë�Q6IltU S\I�UXW�Ik�NQ@ZLQTSkQTaXZL_h��ORu¹IL�gQ@]NQmcbM¹UXWxadZkIkO}]�_mORaXc�ugQTKgZhadcsugQ6I¯®¢UXZL°PS[�Na S'MPQTaXcÎ'®VOÎL�!S\ILadIkOb_pNadI\IkQTZku:ZLQT_mUX�XuNOÎLO}U u�adu�M�_mcRa SkSkO}]�_madIkORUXu�pgZkU ´gcRQmlnSmqxÌ[W=_6U KgZhS\Q'O}I[ORSVW¥KguNMgaXl4QTuJILadcfIkUtIk�NQSL_6ORQmuN_mQ�UdW=ugQmKNZLaXc²ugQ6I¯®¢UXZL°PS¢IkUn�Na¬± Q8at�XU$UPM�°$ugUz®VcRQTMg�XQ�aduNM�Kgu�MPQmZhS¯IhaduNMgO}ug�nUXWs�NUz®ÃILUMPQ�S\OR�Xu»S\ILadIkOb_[_mcRa SkSkO^]�QmZhSradu�M·aXSLS\UP_mORadIkOR±XQCltQmltU ZkORQTSTq=Ìºu·Ik�gQ�UdIL�gQmZ¢�Nadu�M²¶JW¥UXZ+S¯ILKNMPORQTSxUdW�gOR�X�gQTZ�c}QT±XQTc=´�QT�Na¬±$O}U ZLaXcGa S\p`QT_6ILS'UXWx´gORUXcRUX� OR_Tadc=S\jPS\IkQTltS�aXuNM¹W¥UXZ8adpNpgc}Ob_madIkORUXuµUdW+ugQmKNZLaXcugQmI¯®xU Zk°�SkUXcRKPIkORUXuNSºILU�ZLQTaXc�®¢UXZLcRM¹pgZLUX´gcRQmlnST¶Ò}I�ORS'ORltp�U Z\IhaduJI�IkU��Na¬±XQ@ugQ6I¯®¢UXZL°:l4UPMPQTcRSIk��azICpgZLUP_6QTSLSkQTSxIkQTl4pÙXZhadc²p�azI\ILQmZLuNS+®VO}Ik�:ZkQ�aXSkUXuNaX´gcRQºp`QmZkW¥UXZLlnaduN_mQXq

Í Î Â:<�Ïµ1.Ds>~+�gQt�XUJadcGUdWxIk�gQtpgZLQTSkQmuJI'®xU Zk°�®+aXSºILU:MgQm±XQTc}U p!a�KNSkQ6W¥Kgc=ltUPMPQTcGW¥UXZ'IkQTltp�U ZLaXcsp�azI\ILQmZLuZLQT_6U �XugO}IkORUXutadu�Mt�XQmuNQmZhazIkORUXu4KNSkO}uN�8a'ugQmKgZhadcNugQ6I¯®¢UXZL°.Ńa S\Q�M4UXu « a¬jXQTSkObadu4c}Q�adZLugO}uN�Nq�~+�NQIkQTltp�U ZLaXcsuNQ6I¯®¢UXZL°�l4UPMPQTc=®VO}cRcGW¥KgZkIk�gQTZ8S\QTZk± Q4a S'a�p�adZkI�UXW¢adu�Y[e�H�ÐÄYCZkIkO}]�_6ObadcxeCQmKNZLaXcH$jPS\IkQml·Ñ6q·{�I8pgZLUz±JObMPQ�S�a�®+a¬j�IkU�MPUwSkORl.KgcbazILO}U uµS\IkKNMgO}Q�S�UdW¢pgZkU ´gcRQmlnS�Ik�NadI8ugQmQ�M!IkU�´`QIkZLQTadIkQ�M»ORu�a.ILQmltpÙXZhadc²lnaduguNQmZ�q

Ò

� � >��¹7��ª ��6147 1�� :> G>� Ïµ1.<=583ÊÏ:<=1@��3m>�{¯S.Ik�gQTZkQ:S\K�_h��a�IL�gO}uN�µa S@aXuFORMgQTadc¢ILQmltp�U ZLaXc¢a SkSkUP_6ObazILO}± Qnl4QTltUXZLj � {�W�S\U�¶GIk�gQTu��gUz®_6U KgcbM4Ik�NadIx´`QºMPQm]NugQTM��:Y/IkQTltp�U ZLaXcNltQmltUXZLj@_mUXKgcbMt´`Q[ORltaX�XORugQTM4ILU8ZLQmltQml@´�QTZxSkpNazILO}UX¸IkQTltp�U ZLaXc=pNazIkIkQmZLuNSTq��=½Pp`QmZLO}QTuN_6Q@W¥ZkU l�S\ILazILOR_na SkSkUP_6ObazILO}± Q@ugQmI¯®xU Zk°PSºIkQTc}cbS'KNST¶i�gUz®¢Qm± QmZ�¶Ik��azI[pNadI\ILQmZLuNS[S\IkU ZkQ�M�ORu¹atugQmI¯®xU Zk°�S\�NUXKgcbM:ugUdIº´�Q.MgQmp`QmuNMPQTuJIºUXu�ORuJIkQTZkltQTMgORadIkQ�±zadcRKgQTSW¥UXZ4S\ORug� c}Q·uNQmKgZLUXuNSTq¹H$KN_h�#a�ugQ6I4®VO}cRc¢´�Q»IkU$U!SkQmuNSkO}IkOR±XQnILU¹MPObS¯ILKgZk´�aduN_mQTS.a S8ugU ORSkQ»aXuNMW adKNcÎ¯j�ugQmKNZkU uNSmqV{�W=®¢Q.®+aduJI[_6U uJIkORuJKNUXKNS[±¬aXc}KNQTSC®¢Q8KNSkQ8� ZkU KgpNSVUXWGuNQmKgZLUXuNS[O}u�S¯ILQTaXMfqCYZLQTaXSkUXu�ad´gcRQ=c}ORltOÎsIk�NQmu8®¢UXKgcbM�´`Q�ILUCIkZLQTadI�U ugc}j'SkQT§JKgQmu�_6QTS�UdWgp�azI\ILQmZLuNST¶�®V�NU SkQ�pgZLUdIkUXI¯j$p�Q�SadZLQ�´gORuNadZLjX¶CaXuNMÊIkU�KNS\Q!�XZhaXMPQ�MÊUXKPILpgKPI»W¥ZLUXl KgugO}ILS�aXS»´�QTc}ORQ6W8pgZLUXp�ad� adIkORUXufq{|uÃaXuJj_ma S\Q ¶X� ZLa MPQTM@±zadcRKgQTS�aXuNMtS\p�azIkORUd¸ IkQTltp�U ZLaXcPpNazIkIkQmZLuNS�_Tadut´`Q[adpgpNZkU¬½PORltadIkQTc}j.a _h�gORQm±XQ�M.´$jMPO}È`QTZkQTuJI[_6UPMPORug�4IkQT_h�NugOR§JKgQ�SVS\K�_h�:a S¢O}uJIkQTZk±zaXcf_6UPMPORug�·aduNM�pÙXpgKgcbazILO}U u�_6UPMPORug�Nq

ÌºugQ8aXpgpgZLU aX_h�»IkU»MgQ6]NugQ@anS\Q�§ KNQmuJIkObadcfltQTl4U Zkj�_6UXKNcRM:´`Q�IkUnQm½$IkQmu�M�anMPQ6]NuNOÎLO}U u�UdWa8S\ILadIkOb_VltQmltUXZLjXq�vxUXuNSkObMPQmZrIk�gQ[W¥UXcRc}Uz®VORug�8MPQm]NugO}IkORUXu·UXW²aXunORMgQTadc`S¯IhazILOR_ºadKPILU aXSLSkU$_mORadIkOR±XQltQmltUXZLjnW¥U ZV´gO}u�adZLj·pNazIkIkQTZkuNS�Ð��'UX�gU ugQmu Ò�� Ñ��Ð¥O Ñw�º�� d��P�|�� ! 6��"�#�z�$�&%¬�w�t�m�t�('�)*�+ ��* �), h�|�m� ��-� �h�F�g�d�}�, w�h��./� �0 :�21��+ ª�� 6�

� ��./�P�/ ��43X�/�z�- m�m�# 6587:9";!<#=?> Ò <!@ <�A"A"A�<!B�� C� �� D� ��"'ª�/�d�� ª�E�z�|�ª�F�z��G./'k��N�h�0 r�¥�g�C�h��.H)�I1J��.K��'ª�$� �0�P�L�('� m�m�M5F7LN�;O>³Ð#P 7LN�;Q <2P 7LN�;R <"A"A�A"<SP 7LNS;#;T �MUWV Ò <!@ <�A"A"A�<!B/�|�w�¥�g�:�(�P�X.H�P�# h��g�m�`�"%¬�"'�YZ� �F� �N��'L�L�!�d� ��t��X�I[�� N�\� �(./�P�� \�('k�»��]$�0� �|�h�_^")_�` m�6�'�I1C ��43X�/�z�X a5b>ÐcP Q <2P R <"A�A"A0<SP T Ñ?� � ��-� �h�d�_ �.N�h�0� e¢�h�f ��K^0 m�6�.�21»�¥�g�`%��z�X�N�0 �P"gt�\�z�|�h�g�0 »�h� � �#�¥�g��L�('�'k�0 �.N�z�� -3� ��K^0 m�6�+�I1iP 7LN�;gkj

~+�gObSV_6U KgcRM:SkQmZL±XQ'aXS¢IL�gQ�ŃaXSkObSrW¥U ZCatMPQ6]NuNOÎLO}U u�UXWGaXu`lXORMgQTadc+l4S\Q�§ KNQmuJIkObadc²ltQmltU Zkj qG~+�NQW¥UXcRcRUz®VO}ug�nMPQm]NugO}IkORUXu:�Na S+´�QTQmu�Ik�gQ�´�aXSkORSxW¥UXZCIk�gQ�pgZLQTSkQmuJI+®xU Zk°H�Ð¥ORO Ñw�º�� X�!�z�F 6�!m"�N�6��#�d�6�, ! m��0�#�d��&%z�@�t�m�t�('�)@�g�d�}�, @�h��.H� �� @�21n m��m"�N�m�`�h�� 8�I1o� �p ª�Z�d�N�E�z�

�`�h��- D.p�d�Ä�|�"'ª�p h�x�X��e��L�?�, O� �qYZ� [¬�587:9�r sE;0<#=J> Ò <�@p<"AtALAt<�BHu!v�>wv�x�<�v Q <�ALAtAL<!v T� �� # n� �N�|�0'ª�H�z�/ ª�Z�d��6�=��g�"'k�a n�+ O�d�� y.��X� �0� �D ª�Z�d��K�P�\^L�"'h�z�z�`�n./'k��N�h�0 a�·�h��.H){ 7LNSr sE;�>d5F7LN x r s x ;!<"AtALAt<25F7LN g r s g ;�<�ALAtAL<S587LNI|Sr s$|S;0<"AtAtAL<S587LN�}~r sE}i;

�I1��o.K��'ª�$� �0�P�t��'� h�|��'L�L�J m�!m0�N�m�`�h�t�I1�� p ª�E�z��Z�d�`�h��- i.K�z� ��"'ª�p h�+��g�m�`�"%¬�"'h�i� ��'L�L�!�d� ��t��X�6�� N�8��6�D�+ O ª�� P�L�z�|�h�t�h� �¥�_�\ 6�!m"�N�6��h�.�I1o� �p ª�Z�d�N�E�z��L�(�- G.K�z� �|�0'ª�K

� 7L��r sE; >�� 7L�,�"r sE�2; AtAtA � 7L�,�Er sI�c; ALAtA � 7L��r sZ�2;��g�"'k�ª�6� �`�a $.N�h�0� e¢�L�o ��K^� m�m�s�21V� �N�� m�!m"�N�6��L� � 7t��r sI; �� L�·�n�6�\^h�0'h� 7t� g r s g ; �C�d��h�g�0 �W $.g�h�"� ex�h�q ��K^� m�m�4�I1µ�!�X�h�/�n�6�\^h�0'J5 7LN g r s g ; � �h�L�('k�� -3Ê��wYZ� [��\� �� N�� m�!m"�N�6��L�{ 7tN2r sI; j �º�*� � �!�z�=�|�6��.g�('S�z�z�� m��0�#�d��&%z�n�n�m�t�('�):�h��P�R�� N�6�b^h�n�X��e��L��^!�� 6�h��d�Y$�&� [��N�0'k�·� �N��'L�6�L�d��&%z�»�� n�J^h�m�Ä�r�h�m�#�� [�"'k�m�N�n� �p ª�E�z�N�E�z��h��- y.K�z� �|�0'ª�K \�d�`��¥�g��^0 6�d�X�P�|�o'k�h�!�z� �8 �.N�h�h�\�+ ��z�X 6��h�z�p �� 0'k�h� j

Ð O}ORO Ñw�º�� X�!�z��|�m�y.N��'S�d�G�, ! m�T�"�#�z�$�&%z�»�n�m�t�('�)��g�z�R�, »�h��./� �0 »�I1� m�!m0�N�m�`�h�0 t�21C� �p ª�Z�d�N�E�z��`�h��- D.p�d�Ä�|�"'ª�p h��g�"'k�4�� L�f� �p ª�E�z��Z�d�`�h��- D.p�d�Ä�|�"'ª�f�+ ��C m�6�V�I1n ��43X�/�d�: h�

5 7:9�r �c; <�=?> Ò <�@ <�ALAtAt<�BHuS��>d�Ex�<2� Q <"AtALAt<2� T� �f� �# O� ��"'ª�/�d�� ª�Z�d��6��g�"'k�.�D�+ ��z�*� �y.��X� �"� �¢�$� �n�O ª�E�z��.��D�z��a.H'k��N�h�� L�!./){ 7LNSr ��;6>d5F7LNI�"r �I�I;!<�ALAtAL<S587LN2�Er �I�&;�<�ALAtAt<2587tNE��r �E�I;!<�ALAtAL<S587LN2�ir �I��;

�I1o�n.K��'ª�$� �"�P�L��'O ª�|��'k�h�·��m�y.N��'��z�� m�!m0�N�m�`�h�4�I1a� �K h�E�z��Z�d�`�h��- D.K�z� ��"'ª�p { 7LNSr �c;�>w587tN � r � � ;�<"AtALAt<25F7LN � r � � ;!<"AtALAt<25F7LN � r � � ;!<�ALAtAt<2587tN � r � � ;

��g�m�`�"%¬�"'h�O� ��'k�h�!�z� �¢�n�T� �ª��¥�g��`�m�a�+ \ ª�� P�L�z�|�h�!�h� � ��¹��m�y.N��'��z�D 6�!m"�N�6��h��21� �p ª�Z�d�N�E�z��L�(�- G.K�z� �|�0'ª�K

� 7L��r �c;z>��/7L� � r � � ;!AtALA �/7L� � r � � ;!AtALA �/7L� � r � � ;��g�"'k�ª�6� �?�n $.g�h�"� ex�h�a ��K^0 m�6��21+� �N�i m�!m0�N�m�`�h� � 7L��r �c; �!�X�h�t�n�6�\^h�0'�� 7L� g r � g ; �C�d��h�g�0 �* �.N�h�0� e¢�h�� K^� m�m�@�I1��!�X�h� �n�6�\^h�0'�587tN � r � � ;L�C�X�h�h��'k�(� ��3��YZ� [¬�� ¥�g�` m�!m"�N�6��L�{ 7LNSr �c;�� !�t�d�`�d��d�K� �t��'k� �0'h�i�z�`�

�Ex��*�Ig�>d�� Ð#�0xy��"g Ñ0<2�Exy�� | >d�� Ð#�0xy�� | Ñ�<�ALAtALuS��V`� j

@

{|u�l4UJS¯IC_mO}Zh_6KglnS\ILaXuN_6Q�Sm¶$�gUz®¢Qm± QmZ�¶J®¢Q'adZLQ�uNUdIVO}uJILQmZLQTS\IkQTM»O}u:ZLQm± QmZhS\Q�MnZkQ�_maXc}cbSmq=~+�$KNS¢®¢Qlna¬j.cRO}ltO}I�Ik�NQCpgZLU$MgKN_6Q�M4SkQT§JKgQTuN_6Q[UdW²S\QmILSGILU�Ik�gUJS\QV®V�NQmZLQC~��g¶ OÄq QXqGa�SkQT§JKgQmu�_6QC®¢UXKgcbMUXuNc}j¦´`Q�ZLQT_TadcRc}Q�M¦ORu�IL�gQ�SLadltQ�UXZhMPQmZtaXS@O}It®+aXS4S\IkUXZLQTMfqFY[Sta�W¥KgZkIk�NQmZtZkQ�S¯ILZkOb_ªILO}U uf¶�ORuIk�NQt_mKgZLZkQTu I'S¯ILKNMPjw®¢Q4�Na¬±XQ.W¥U$_mKNSkQTMwU u!SkQT§JKgQTu ILORaXcGl4QTltUXZLO}Q�Sºa _m_6U ZLMgO}ug�»IkU:MPQ6]�ugOÎLO}U uÐ¥ORO Ñªq�~+�$KNS�O}I:ObS�UXugcRj Ik�NQ!U ZLMPQTZ�UXW.ORuNS¯IhaduJILaXugQmU KNS�pNazIkIkQmZLuNS�ORu aÊS\Q�§ KNQmuN_mQ¹IL�NazI:ORSQTSLSkQmuJIkObadc qÃ{|u IL�gQ�W¥UXcRcRUz®VO}ug�¦Qm½gadltpgcRQTS·SkUXltQwSkQT§JKgQmu�_6QTS�u�H Ò ¶CHp@�adu�MH��pu�adZLQ��XOR±XQmuiq�ra _h�:O}uNS\ILaXuJILaduNQmUXK�SCpNadI\IkQTZku�ORu�IL�gQTSkQ8ObSºa·_h��adZhaX_ªILQmZ�¶gUXZ�¶�a SCORu�Q6½gadltpgcRQTS[Q�@naXuNM�Q��napNaXO}Z¢UdWi_h�NaXZLa _ªILQmZhSmqsY[SLS\KgltORug�@Ik�NadI¢®¢Q[�Na¬± Q[adu�ORMgQTadc�aXSLSkU$_mORadIkOR±XQCltQTl4U Zkjna¬±zadORcbad´gcRQX¶JaSkQT§JKgQmuJILORaXcfltQmltUXZLj»lna¬j·IL�gQmu¹´�Q8ORltpgcRQmltQmuJIkQ�M:KguNMPQTZ[U ugQ�UdWGI¯®¢UtIkZLO}±$Obadci_mUXuNS\IkZhadORuJILSTqvxUXu�S¯ILZLaXO}uJI Ò ¶$QTa _h�»ORuNS¯IhaduJILaXugQmU KNSxpNazIkIkQmZLu�ORS¢KgugOb§JKgQXq�~+®¢UtS\Q�§ KNQmuN_mQTST¶PH Ò aXuNM�HK@P¶PadZLQS\IkUXZLQTM�ORu�IL�gQ8aXSLSkU$_mORadIkOR±XQºl4QTltUXZLjX¶gSkKN_h��aXS��Ð¥Q Ò Ñ��

�� QTZkQ�adu$j4UdW²Ik�NQ�SkQT§JKgQTuN_6Q�SxH Ò UXZ¢HK@P¶J´�UXIk�»ORuP]NuNOÎLQmcRj4cRUXuN�N¶Jlta¬jt´`Q[KguNOR§JKgQTc}jtpgZLUPMPKN_6Q�MO}W¢a»S\IkORl.KNc}KNS�pNadI\ILQmZLu¹j²Ð¥Kf¶ IhÑºlnazIh_h�gQTS'aXuJj:QTc}QTl4QTuJI�UXW�Ik�gQtpNadI\ILQmZLu!SkQ6ILS Ò ¶:@P¶ !N¶#"P¶%$$¶ � U Z�g¶ �g¶ � q8vxUXu�S¯ILZLaXO}uJIn@g¶`®¢Q4�Na¬±XQ�IL�gQ4p�UJSkSkO}ŃO}cROÎ¯j�ILU�S\IkU ZkQ.IkORl4Q4UXZºQT§JKgOR±zadcRQmuJI'_mUXuJIkQm½$IkKNaXcORuPW¥UXZLlnazIkORUXu�IkU �XQmIk�gQTZV®VOÎL��Q�aX_h��O}u�S¯IhaduJILaXugQmU KNS¢pNazIkIkQmZLu�½²Ð pf¶ IhÑª¶bÐ y U SkQmu$´gcbazI\I Ò��'& @XÑ0�Ð QTShÑ��)(�*,+-�/.0+�(213+45.0+�(�*6+-�7.0+�('89+:�/.0+�(;*,+<��.9+�(:=�+��7.

��)(�>,+-�/.0+�(?89+45.0+�(�>6+-�7.0+�(<13+:�/.0+�(;>,+<��.9+�(21@+��7.�ra _h��O}uNS\ILaXuJILaduNQmUXK�S8pNadI\IkQTZkui¶sORu�Ik�NORS4_ma S\Q ¶sObS8lna MPQ·KgugOb§JKgQ»´$jµ�XOR±$O}ug�¹OÎtadu¦Q6½PpgcROb_6O}IIkORltQ'ILaX�N¶P´gKPI[aXu$j·pNazIkIkQTZku:lna¬jnUP_m_6KNZ7A¯KNS¯IºUXuN_mQ�ORu�atS\p`QT_mO^]�_'_mUXuJIkQm½JICU ZVazI[atS\p`QT_mO^]`_IkORltQXq4{�WxIL�gQnS\Q�§JKgQmuN_mQTS�H Ò adu�MµHp@»ORuÊÐ Q�@XÑ�aX´�Uz± Q4aXZkQ4c}Q�adZLugQTM!aduNMµa»Ik�gORZLM�SkQT§JKgQTuN_6Q ¶H��N¶gS\KN_h��a S"�Ð¥Q-�JÑ��B�)(?89+-�/.0+�(:=C+45.0+�(�*6+-�7.0+�(-=C+:�/.0+�('89+<��.9+�(�*6+��7.ObS4a MgMPQ�M²¶GIk�gQ:SkQT§JKgQmu�_6QTStH Ò aduNMÊH��¹_mUXKgcbMFugUXI@´`Q�KNuNadl@´gO}� KgUXK�S\cRj�ZkQ�_madcRcRQTM�´`QT_maXKNSkQIk�NQ�ORuNS\ILaXu IhadugQTUXKNS@pNadI\IkQTZkuÐ aN¶ @ Ñ8ObStugUµc}U ug�XQTZ@KguNOR§JKgQ:adltUXuN�¹IL�gQ�SkQT§JKgQTuN_6Q�SnH Ò ¶xHK@adu�M�H��´`QT_TadKNSkQ»O}I@UP_m_mKgZhS8´ÙdIk��O}u#H Ò adu�MFH��gqµYCugUXIk�gQTZ@MPZha¬®VŃaX_h°!UdWClnad°$ORug�wQ�aX_h�ORuNS¯IhaduJILaXugQmU KNS�pNazIkIkQmZLuÃKNugOR§JKgQµObS»IL�NazI�O}I�´�Q�_6UXltQ�S»�NaXZLMW¥UXZ�Ik�NQ!ugQmI¯®xU Zk°ÊILU#lnad° Q�XQTugQmZhadcRORÇTazILO}U uNSTq�DfQmIT¶XW¥UXZrQm½gadltpgcRQX¶ a�IkQmltpÙXZhadc�ugQ6I¯®¢UXZL°8cRQTadZLu4Ik�gQ[W¥UXcRc}Uz®VORug�8SkQT§JKgQTuN_6Q�SH Ò adu�M:HK@ �Ð¥Q:!$Ñ��*E17*E1F8G=�>

��1�8H*E1F8H*E1É/�gQTuwS¯ILUXZLO}ug�tSkKN_h��S\Q�§ KNQmuN_mQTSVaXSºH Ò aduNM�Hp@g¶gO}u:®V�gOb_h��adu:ORuNS¯IhaduJILaXugQmU KNS+pNadI\IkQTZku lXa�lObS@aXc}®+a¬jPS'W¥UXcRc}Uz®¢QTM�´$j�a_lX´Klg¶GO}[email protected]Ù SLS\OR´gcRQnIkU!�XQTugQmZhadcRO}ÇTQ·ad´ÙXKPI@Ik�gObSTq!Y�_mUXuNS\IkZhadORuJIIk��azIrlnad° QTS=Q�aX_h�tORuNS¯IhaduJILaXugQmU KNSGpNadI\IkQTZkutILU8´`QCKgugOb§JKgQX¶JOÄq QXqs®V�gQTZkQ[a'uNQ6I¯®¢UXZL°8lna¬j.UXuNc}jKNSkQ�p�azI\ILQmZLu#ORuPW¥U ZklnazILO}U u¦W¥ZLUXl IL�gQ�pNZkQT±JORUXK�S.ILO}ltQ�S¯ILQmpf¶x®VO}cRcV´�Q:�NaXZLM¦IkUµW¥Kgc}]Nc}c q#~+�NQŃa S\Ob_8pgZLUXŃc}QTl ORuwILQmltpÙXZhadcsugQ6I¯®¢UXZL°PSCObS[�gUz®�ILU�MgQTadcs®VO}Ik�wIL�gQ4�gORS\IkU Zkj q�Y pgZLQTMPOb_ªILO}U ul.K�S¯I'ugUXZLlnadcRc}j:KNSkQtMgazIha»U cRMPQTZ[IL�Nadu!I'l4ORu$KNS Ò q8~+�gQtpgZLUXp`QmZkI¯j:UdWxa�SkQ6I'UdWxSkQT§JKgQTuN_6Q�SIkQTc}cRORug��gUz®¤U cRM!Ik�NQtMNazILa�l@KNS¯I8´`QtW¥UXZ�U ugQ4IkU�MPQ�adc=®VO}Ik��OÎ�¶iORu�UXZhMPQmZ�IkU�Skp�Q�_6O}W¥j¹Q�aX_h�_6U uJIkORuJK�azIkORUXu�KgugOb§JKgQmcRjX¶NORS+�gQTZkQ�_TadcRc}Q�M�_mUXuJIkQm½JICcRQmuN�dIk�iqo Q6]NugO}IkORUXuF�

�`�N�n�h�z�N�|��]X�+�}�m��3X�¥�!�21��J m�!m0�N�m�`�h��+ .�¥�g�4�\�"]�� P� ��3 �n�21.�¥�g�n��z�E�?'k�!m0� �&'k�h��|� �.N�h�0� 1!)�� L�¹�h�z�N�$� �K�K�d�� d�_�P��#m0�N�m�X) j

ÅgU Z@Qm½gadltpgcRQ��·~+�gQ:S\Q�§JKgQmuN_mQ?l Ò !�@ � "4$ Ò !-@ � "I$JqRq}q l¹Ð¥W¥ZLa _ªILO}U uFpNadZkI@UXW Ò;J $dÑ��aXS._mUXuJIkQm½$IcRQmug�XIk� Ò ´gKPI»Ik�gQ�®¢UXZhM�ldlnazIL�gQmlnazILOR_TSSlµ�Na S·_6U uJIkQ6½$I·cRQmug�XIk�K!�q eCUz®�¶+_6U uNSkORMPQTZnIk�NQMPO}È`QTZkQTuN_6Q�S[´`Q6I¯®¢QmQTuwIL�gQ@pNZkU p�QTZ\ILO}Q�SCugQTQTMPQ�M�W¥UXZ'SkQT§JKgQmuJILORaXc�pNadI\ILQmZLu¹_6cbaXSLS\O}]NQTZLSºaduNM!S\Qm¸§JKgQmuJILORaXcfpNazIkIkQTZku�� QmugQTZLadIkUXZhSTqrÅgU Z[_6cbaXSLS\O}]�_TazIkORUXu�pgKgZLpÙ SkQTST¶gQXq �Nq¢pg�gU ugQmltQ�ZLQT_6U �XugO}IkORUXui¶

�

Ik�NQxpgZLUXŃc}QTl¤_6UXu�S\ObS¯IhSilnaXO}ugcRj�UdW`MPQ6ILQT_ªILO}U u.UXW�S\p`QT_mO^]`_�W¥Q�azIkKNZkQ�S�ORu8IL�gQ¢O}ugpNKPI�S¯ILZkQ�adl:¶¬W¥QTad¸IkKNZkQ�S¢Ik�NadI[adZLQ�UXW IkQTu�ORu$±zadZLORaXu I¢IkU·SkUXltQ'pgZLUXp`QmZkIkORQTS+UXWiIk�NQ�O}ugpNKPIºSkO}� uNadc qrÌºugQ'pgZkU p�QTZ\I¯jIkU�p�a¬j.azIkIkQmuJILO}U u@ILU�O}utZLQT_mUX�XuNOÎLO}U u@_6ORZh_6KglnS\ILadu�_6QTSGObS=®V�gQmIk�gQTZradKgIkUXlnadIkOb_¢SkQm� ltQmuJILadIkORUXuUdWsIk�NQ�O}ugpNKPI[S¯ILZkQ�adl ��aXS¢IkUt´`Q�lnaduNaX�XQTMfq=HPKN_h��aXS��

�� "!�#�� #��$"��%��$"&��#��'�"!�#�� (#��$"��%��$ &��#)�

~+�gObS4ORSna!®xQTc}c+°$ugUz®Vu#pgZkU ´gcRQml O}ui¶�W¥UXZtQm½PaXltpgc}Q ¶rZLQT_mUX�XuNOÎLO}U uFUdWº_mUXuJIkORu$KgUXK�S@Skp�QTQT_h�fq~+�gQTZkQ:adZLQ�_mQmZkILadORu�cbaduN�XKNaX�XQTST¶=cRO}° Q�ÅsORugugObS\�f¶¢®V�gQTZkQ�OÎnlna¬j¦´�Q:cRQTSLStaX_m_mQmuJIkK�azIkQ�M�MPKNQIkUF_mUXuNSkQT§JKgQTuJInS\IkZLQTSLStUdWºIk�gQw]NZLS\I·S\j$cRcRaX´gcRQ�UXW�Q�aX_h�Ê®xU ZLMfq~+�gQ�S¯ILZkQ�SkStUXW'aµ®¢UXZhM�ObSm¶�gUz®¢Qm± QmZ�¶CugUdI:jXQmI:a#pgZLUXp`QmZkI¯j IkUÊ´�QµILZkQ�azIkQ�MORu aXu Qm¼n_mO}QTuJI�lnaduNugQmZ:ORuaXKPIkU ltadIkOb_Skp�QTQT_h��ZLQT_6U �XugO}IkORUXuiqºÐ#�rc}QTugORKNS��tqR¶Np`QmZhS\U uNadcf_mUXltl.KNugOR_TazILO}U u�ÑªqVÅgU ZCpNadI\IkQTZku�� QmugQTZLadIkORUXupgKgZLpÙ SkQTSV®¢Q8lna¬j»pNa¬j�azIkIkQmuJILO}U u:IkU·�gUz® Ik�NQ@SkQT§JKgQmu�_6Q�ObS[aX_6IkOR±zazIkQ�M�aduNM:�NUz®ÃILUXcRQmZhaduJIIk�NQ��XQmuNQmZhazIkQ�M»SkQT§JKgQTuN_6Q'�Na SrILUn´�Q�aX� adORuNS\I¢QTZkZLUXZhS¢O}u�Ik�NQ'IkZLO}� �XQmZLORug�@S\IkORl.KgcRKNSTq�ÅgU ZVc}Uz®cRQm±XQTcrpNadI\ILQmZLu¦�XQmuNQmZhazIkU ZLS8O}u¦´gORUXcRUX� OR_Tadc�ltUXIkUXZ4S\jPS\IkQTltST¶GOÎ4�NaXS.´�QTQmu�Sk�gUz®Vu/Ð+*�ZLORc}cRugQmZQ6ICaXc Ò�� $dÑ�Ik�NadIVŃaXSkOR_'SkpgORuNadc²pNadI\ILQmZLu�� QmugQTZLadIkUXZhSxlta¬jn´`Q8MPZLO}± Qmu�´Jj�a.ILUXugOb_'S¯ILO}l@KgcRKNSmq~+�gObS=�Na S=adcbS\U'´`QmQmunSk�gUz®Vu4O}unSkO}l@KgcRadIkQ�M@ltUPMPQTcRS=UXW`SkpgORuNadcgp�azI\ILQmZLu@� QmugQTZLadIkU ZLS+Ð D�aduNSkugQTZQ6I[aXc Ò�� Ñ6q=Å�OR�XKNZkQ Ò S\�NUz®CSVa@ltUPMPQTcfUdWsIk�gQCD�adltpgZLQmj·Sk®VO}l��XQTugQmZhazILUXZ¢Ik�NadIC�NaXS+´`QmQTuSkO}l@KgcRadIkQ�M²q

MN MN

E ECC

L L

CC

RS RS

,�-/.�0'13254�687:9�2<;>=�-@?�A�BC;EDF-/G<G<-@?�.H139�I�J39�GK.�2L?�2M1NAOJ3-/?�.P?�2MJQDSR�13TUR�VWA5X�AOG<=�132MI�Y<Z�[CZ5AO1322M\']L-^JNAOJ3RO1>I_-/?�J32M13?�2L0�13R�?�;:J39�A`Jba'13-/c�2dJ39�2dG<ROJ3R�13?�2M0�13R�?�;LY)Z�eWeSZfA`132g-@?�J32M13?�2L0�13R�?�;:J39�AOJF-/?�h9�-/i�-/JjJ39�2<R�=�="R�;>-^J32<;>-ka'2�Y5Z�X�ZPA`132fBkA`J32M1NA�Bl-/?�J32m13?�2L0'13R�?�;gJ39�AOJjJ32M13G<-/?�A`J32<A�]MJ3-/c�-^JQInR�?oJ39�2A�]mJ3-@c�2p;>-@a�2�YCZ�q_rsZ<AO132gG<ROJ3R�13?�2L0�13R�?�;FA�?�aHZ�tpu�ZvAO132s132MJ3-/]L0�B/R�;>=�-/?�A�B�?�2L0'13R�?�;LYC7:9�2p132MJ3-/]Mh0�B/R�;>=�-/?�AOBl?�2L0�13R�?�;jAO132fa�13-/c'-/?�.HJ39�2w;>=�-/?�AOBl?�2MJQDSR�13T"Yf,�-/B/B@2Lao]L-^13]LB/2L;8a�2L;>-/.�?�AOJ32<-/?�9�-/i�-^J3R�1>I;EI'?�AO=�;>2L;bA�?�aH0�?�x�B/B/2yaz]L-^13]LB/2L;s2m\�]M-/JNA`J3R�1>IH;EI'?�A�=�;>2L;LYÅgU Z�IkQmltpÙXZhadcGltUdILUXZ�_6U u ILZkU c�ltQ�_h�NadugObSkltS�®¢QnMPU�uNUdI�jXQmI'°$ugUz®©®V��azI�°$O}uNM!UdW+aX_6¸

IkOR±zazILO}ug��pNadI\IkQTZku�S�aXZkQ@KNSkQTM²q8{�I'ObSº�NUz®xQT±XQmZºZkQ�aXSkUXuNaX´gcRQ8IkU�´`QmcRO}QT±XQ@Ik�NadIºIL�gQnaX_ªILO}±zadIkORug�pNadI\IkQTZku�S\Q�§ KNQmuN_mQTSraXZkQº§ KNOÎLQºSk�gUXZkITqG{|unW a _ªIT¶JIL�gQºS\ILaXZ\Ix_mUXuNMgOÎLO}U u»_6U KgcRM·´�Q�A¯KNS¯IVa.SkORug�XcRQpNadI\IkQTZkui¶icRO}° Qta:� U aXcG_mU$UXZhMPO}u�azIkQtORu¦a�ZLQTa _h�gORug��ltUz± QmltQmuJITq·Y¢I.a:_mQmZkILadORuµc}QT±XQmcrO}uµIk�NQSkj$S\IkQTl�IL�gObSClna¬j»ZLQ`{NQ�_ªIC�gUz® Ik�NQ.ltUz±XQTl4QTuJI+ObSCORugO}IkObadcRO}ÇTQTM²q+{|u:IL�gQ�W¥UXcRcRUz®VO}ug�n®¢Q'W¥UP_6KNSUXu�Ik�NQ�pgZkU ´gcRQml UXWs� QmugQTZLadIkORug�@cRUXuN�tSkQT§JKgQTuN_6Q�S¢W¥ZkU l�Sk�gUXZkICaX_ªILO}±zadIkORug�nS\Q�§ KNQmuN_mQTSTq

| � �y}�>C<=>[7t >V �:1·9�D �d1.<£ s>~ Ïµ1.<=583¨D�>j~�Â:>[74 ��m583 7:>V )�� 1.<=À»D

ÉµQ.ORu ILZkUPMPK�_6Q.´$j:�XOR±$O}uN�»a»Sk�gUXZkI[ZLQm±$ORQm®©UdWrSkUXltQ8pNZkQT±JORUXK�S\cRj�S\IkK�MPO}Q�MwltQ6IL�gUPMgS[W¥UXZ'S\Qm¸§JKgQmuJILORaXcfpNazIkIkQTZku:ZLQT_6U �XugO}IkORUXu:adu�M�_mUXltpgcRQ6ILO}U ufqx~+�gObSVObSVORu�ugUn®¢a¬j�an_6UXltpgcRQ6ILQ�ZkQT±$O}QT®�q{�ICObSVadu�O}cRc}K�S¯ILZLadIkORUXu�UdW=S\U l4Q'ltQ6IL�gUPMgS+®V�gOb_h��MPO^È�QmZ+W¥ZLUXl�Ik�gQ8aXpgpgZLU a _h�·O}u�IL�gQ�pgZLQTSkQmuJI

!

®¢UXZL°`qY2S\ILadIkQ�lnaX_h�NO}ugQ�ŃKgO}c}I»ZLUXKgu�M#aXu a SkSkUP_6ObazILO}± Q�ltQmltU ZkjFObS·S\IkKNMgO}Q�M ´Jj��'UX�gUX¸ugQTufq¢ÌºKPILpgKPILSVW¥ZkU l Ik�NQ8aXSLS\UP_6ObazILO}± QºltQTl4U Zkj�adZLQºW¥Q�M�ŃaX_h°nIL�gZLUXKg� ��MPQTcRa¬j»c}ORugQTSVIkUtIk�NQugQmI¯®xU Zk°�q o Qmcba¬jXQ�M�ZLQmpgcROR_TaXS[UdW�IL�gQ.U KPIkpgKgILS�®VO}cRcG´�QtaXSLSkU$_mORadIkQ�M:®VOÎL�¹ORuN_6U l4ORug��S¯ILO}l@Kgc}OÐ#�'U �gUXuNQmu Ò�� Ñªq��QmIk�gUPMgS4aduNM¦Ik�gQTUXZLO}Q�S'W¥ZkU l aXMgaXpPIkOR±XQ»SkOR�XuNaXcrpgZLUP_6QTSLSkO}ug�:IL�NazItadZLQKNSkQTM#W¥UXZnpNZkQ�MPOR_6IkORUXu UdW'S¯ILUP_h�NaXS\IkOb_�pgZkUP_mQTSLS\Q�SnadZLQ:aXcRSkU�adpgpgcROb_madŃc}Q:ILUµuNQmKgZhadcVugQmI¯®xU Zk°ltUPMPQmcbSmqn~+�gQn®¢QmOR�X�JIhSºlna¬jw´`Q·_maXcR_mKgcbazIkQ�M¹K�S\ORug��Ik�gQncRQTa S¯Ik¸ ltQ�aduP¸|Sk§JKNaXZkQ�Ð D��¹HgÑ'adcR�XUX¸ZLOÎL�gl U ZT¶xQXq �NqR¶M��aXc}lnadug¸Ä]Nc}IkQTZnadcR�XUXZLO}Ik�glnS:Ð ~�Zk±$u Ò�� ÑªqÊ{|u aXugUdIL�gQmZnltUPMPQTcÄ¶xIk�NadI·ORS_maXc}cRQTM�Sk�gUXZkI�IkQTZkl³ltQmltUXZLj#Ð HP~��¹Ñ6¶iQTa _h��KgugO}I@ZLQmltQml@´�QTZLS�awSklnadcRc��gObS¯ILUXZLj¹UXW¢O}ILS.O}uP¸pgKPICSkO}� uNadc�´$j·cRQ6IkIkORug�4Ik�gQ�SkO}� uNadc`pNaXSLS+at_6UXu$± UXcRKPIkQº�XOR±JORug�tadu�Q6½Pp�U ugQmuJILORaXc�MgQT_ma¬jwÐÄ~iZL±$uÒ�� Ñªq6�xaX_h�tS\OR�Xu�adcPpNa SkSkQTS=a8HP~��¸ cRU$UXpfqG~+�gQmZLQCadZLQVS\QT±XQTZLaXcPHg~��:¸ cRU$UXpNS�O}utpNaXZLaXc}cRQmcgaXuNMIk�NQ8UXKPILpgKPIhSVW¥ZLUXl�Q�aX_h��HP~��:¸�c}U$U p:aXZkQ�®¢QmOR�X�JILQTM�O}uJILU·anMPQT_mORSkO}U u:ugQ6ICIL�NazI[SkQmcRQT_6ILSVU KPI\¸pgKPIºpNazIkIkQmZLuNS¢IL�NazI[aXZkQ'ltU S\I[_6cRU SkQ'IkU4Ik�NQ8±zadcRORM�pNadI\IkQTZku�Smqr~+�NQ ObMgMPQmu��waXZk° Uz±��UPMPQmcObS8a:°$O}uNM�UXWCS¯IhazIkQnlna _h�gO}uNQn®V�gQmZLQtIk�gQ»®xQTO}� � IhS�adZLQnO}uJILQmZLpgZkQmIkQ�Mµa S'IkZhadu�S\O}IkORUXu�pgZLUXŃad¸´gORc}O}IkORQTSTq�Y �� lna¬j!´`Q�IkZhadORugQTM�KNSkORug�wIL�gQ»W¥U Zk®+adZhM$¸�ŃaX_h°$®+adZhMwadcR�XU ZkO}Ik�Nl Ð ÉµaXO}´`QmcQ6I�adc Ò�� $XÑªq�Y��XU ZLMNaduwugQmI¯®xU Zk°�ObS�a�®+a¬j�UXWrORl4pNc}QTl4QTuJIkORug��S\Q�§ KNQmuJIkObadcGaXSLS\UP_mORadIkORUXuwORuŃa _h°�pgZkU pNad�JazILO}U u�ugQ6I¯®¢UXZL°PSº´$jwa MgMPORug�»W¥QTQTMP´�aX_h°wadu�M!a�S\QmI�UdWxZLQT_mKgZLZkQTu I'S¯IhazILQ4KNugOÎhSmqÐ� UXZhMgaXu Ò��I& Ñ6¶¢Ð�waXSLS\U ugQX¶ « ORÇmÇmO Ò�� ÑªqwYCuNUdIk�NQmZ4®¢a¬j¹IkU¹K�S\Q�ŃaX_h°J¸�pgZkU pNad�JazILO}U u¹W¥U ZIkQTltp�U ZLaXc`pNZkUP_6Q�SkSkORug�@ObSxIkUtKNSkQOlX~+ORl4Q o Qmcba¬jXQTM�eCQTKgZLaXc²eCQ6I¯®¢UXZL°PS'Ð ~ o e[e�� ShÑIlgq�~ o e[eObS�UdW ILQmunKNSkQTM4ILU.MPQ�S\OR�XuNadIkQVl@KgcÎLO}cba¬jXQTZ=ŃaX_h°$pgZLUXp�ad� adIkORUXu@ugQ6I¯®¢UXZL°PS=®V�gQmZLQVQTa _h�tKgugO}Ix�Na Sl.KNcÎLO}pgcRQC®¢QmOR�X�JILS�®VOÎL�tMgO^È�QmZLQmuJIxMPQTcRa¬jPSTq�~+�gQ�S\Q[KgugO}ILS=lna¬j.�NUz®xQT±XQmZG´`QCKNSkQTMt®VO}Ik�nUXIk�gQTZcRQTadZLugORug�'ZkKNc}Q�SVÐ¥É�adOR´�QTcNQ6IraXc Ò�� $dÑ6¶NÐ D�adug��¶ ORuJIkU u Ò�� Ñªqs~+�gQVS\Q�§JKgQmuJIkObadcNUXZGIkQTltp�U ZLaXcugQmI¯®xU Zk°PS�ltQmuJILO}U ugQTM¦aX´�Uz± Qnlta¬j!´�Q�KNSkQTM�QmO}Ik�NQmZ8W¥U Z.pNadI\ILQmZLu¦ZkQ�_6UX� ugO}IkORUXu�UXZ8p�azI\ILQmZLu�XQTugQmZhazILO}U ufq ��U S\IVUdWiIL�gQml��Na¬±XQ�O}u:_6U ltl4U u·IL�NazI+Ik�NQmj»lna¬jn´`Q�S\QTQmu:aXS¢O}ltpgcRQmltQTu ILO}uN�a@I¯j$p�Q�UXWspgZLQTMgOR_6IkUXZ

�=�Ðc�\Ñz>��nÐ�vJÐ#�\Ñ�< �=sÐc�� Ò Ñ�<�A"A�A0< �=sÐc��WBNÑ\Ñ Ð Ò Ñ®V�gQTZkQ@Ik�gQ4QTS\IkORlnazILQTM!pNazIkIkQmZLu!adIºILO}ltQ4I'ORS'SkUXcRQmcRjwa·W¥Kgu�_ªIkORUXu!UdW�IL�gQnS¯ILO}l@KgcRKNS'azI'IkORltQI8aduNM¹°¹S\IkQmp�SºUXWxpgZLQTMgOR_6IkQTM¹pNazIkIkQTZku!�gORS\IkU Zkj q.~+�gObS'ORST¶²UdW+_6U KgZLSkQX¶�ugUXI'IkZLKgQ.W¥U Z'l4UPMPQTcRS®V�gQTZkQºKgugO}ILSx®VOÎL��MPO}È`QTZkQTuJIxORugpgKPIVMPQmcba¬jPSm¶$aXSrIk�NQº~ o e[e KgugO}ILST¶$aXZkQºKNSkQTMtILU@SLadltpgcRQCIk�NQS\IkORl.KgcROÄq�~+�NQ�UdIk�NQmZVQ6½$ILZkQTl4Q'ORu�Ik�NadI[_maXSkQ�ORS

�=sÐc��mÑz>��nÐ$v Ð#�\Ñ�<!v Ð#�h� Ò Ñ�<�A"A"A"<�vJÐc��BgÑ\Ñ Ð�@ Ñ®V�gQTZkQ+IL�gQ[Q�S¯ILO}lnazILQTMtpNadI\ILQmZLu·azI=IkORltQCIk¸�_VObSrSkUXcRQmcRj@a�W¥KNuN_ªILO}U u·UdW�Ik�NQCO}uNpgKPI¢S\IkORl.KNc}O q ~+�NQ_6U uNS\ILaduJI»_:ObS·ugU ZklnaXc}cRj�_h�gUJS\QTuÊ´`Q6I¯®¢QmQTuK�FaduNMÊ°�q�ÅgUXZ�_6cbaXSLS\O}]�_madIkORUXuÊpgKgZLp�UJS\Q�StIk�NQQTS\IkORlnazILQTMwp�azI\ILQmZLuwlna¬j:´�Qta�MgQT_6ObSkO}U uf¶�c}OR°XQ@�Jj$pg�NQmuNadIkQ.±PS�ugUXIº�$j$pg�gQmu�azIkQ q�Y¨±zadZLObaduJIUdWsIk�NQ�cRadI\IkQTZVORS

�=�Ð#��<2�� Ò <"A�A"A0<S��BgÑz>��nÐ�vJÐc�\Ñ0<�vJÐc�� Ò Ñ0<"A"A�A0<�vJÐ#��BgÑkÑ Ð �JÑ®V�gQTZkQ.a»S\Q�§ KNQmuN_mQ8lna¬j�´`Q8ZLQT_6U �XugORÇmQ�M:aXS[a·®V�gUXcRQXqCYügQ6I¯®¢UXZL°»ltUPMPQmc�W¥UXZ[ZkQ�_6UX� ugO}IkORUXuUdW[IkQmltpÙXZhadc¢pNazIkIkQTZkuNS.Ik��azIn_6UXZLZLQTSkp�U uNMgS8ZhazIL�gQmZ4®¢QmcRcrILU¹IL�gORS4pgZLQTMgOR_6IkUXZ4pgZLO}u�_6ORpgc}Q��Na S´`QmQmuFS\IkK�MPO}Q�M/Ð ~sadug°�¶ UXpg]NQmcbM Ò��'& Ñ6q�HJILO}l@Kgc}O¢adZLQtpgZkU'A¯QT_6IkQTMµU u�a:uNQ6I¯®¢UXZL°�Ik�gZLUXKN�X�_6U uJIkORuJKNUXKNSVMPQTcRa¬jtW¥KNuN_ªILO}U uNS+Ik��azI[adcbSkU4lnaX°XQ'an_6UXltpgZLQTSLSkO}U u»UdWsO}ugW¥UXZLltadIkORUXu�O}u�ILO}ltQnq

� � >+ h:1·9�D�587:9 D��" Â�365� h�61@7 <=>CDGÂ�3h sD{|u�Ik�gObSCSkQT_6IkORUXu�®xQ'pgZLQTSkQmuJI+Ik�gQ�ltUPMPQTcRSCMgQm±XQTc}U p�Q�M�aXuNM�S\U l4Q�SkO}l@KgcbazIkORUXu�ZLQTSkKgcÎhSmq

�� ! #"%$'&�(# *)+�-,/.0��1+2�34��.5)�60798��'(~+�gQ@ŃaXSkOR_8l4QmIk�gUPM:W¥U Z[ORltpgc}QTltQmuJILadIkORUXuwUXW=SkQT§JKgQTuJIkObadciltQTl4U ZkORQTSºS¯ILKNMPORQTM�ORu�IL�gORSº®¢UXZL°ObS[IL�gQtaXMgMPO}IkORUXu!UdWxMgQmcba¬jXQTM¹S¯ILO}l@Kgc}K�S�_mUXuguNQT_ªILO}U uNS[IkU:adu!aXKPIkUJaXSLS\UP_mORadIkOR±XQ�ugQmI¯®xU Zk°�¶�OÄq QXq

"

IkQTltp�U ZLaXcgS¯ILZkKN_6IkKgZLQVObSGIkZhaduNS\W¥UXZLltQTM8IkU8a�SkpNazILORaXcPUXugQ8Ð¥]N�XKgZLQy@XÑ6q�É/O}Ik�tIL�gORSradZh_h�gOÎLQT_6IkKgZLQ®¢Q�®VORcRcf�XQmI¢IL�gQ�pgZLQTMPOb_ªILUXZ�=�Ðc��<2�� Ò <"A�A"A0<S�6�WBgÑz>��nÐ�vJÐc�\Ñ0<�vJÐc�� Ò Ñ�<�A"A"A"<�vJÐc��WBNÑ�< �=sÐc�\Ñ0< �=�Ð#�6� Ò Ñ0<"A"A�A"< �=iÐc��BNÑ\ÑµÐ !$Ñ

®V�gQTZkQ¢Ik�NQ+SkQT§JKgQTuN_6Q+®VO}Ik�gORu4Ik�gQ+®V�gU c}QV_mUXuJIkQm½JIGcRQmug�XIk�t°8ObSGpgZkQ�MPOb_ªIkQ�M8W¥ZLUXl¨´�UXIk�4°.S¯ILQmpNSUdW�pgZLQTMPOb_ªILQTMtpNadI\ILQmZLu4�NORS\IkU Zkj.aXuNM@W¥ZkU l¨°�� Ò S¯ILQmpNSrUdW²S¯ILO}l@KgcRKNSmqGY[SLSkKgltpPIkORUXuNS��Ik�gQCZhazILQUdW�S\IkORl.KgcRKNSC_h��adug� Q�ORSCSkcRUz®_mUXltpNadZLQTM�®VO}Ik�:IL�gQ8ZLQmcbaz½gazILO}U u»ILO}ltQ8UXW�IL�gQ8ugQmI¯®xU Zk°�qx~+�NQMPQTcRa¬j·cRORugQTS+�Na S+QT§JKNaXcfMPQmcba¬j»_h�NaXZLa _ªIkQTZkObS\IkOb_mSTq

tt-1

D

StimulusOutput

D

D

,�-/.�0'132��6��)-/]MJ30�132W-/B/B/0�;EJ>1NAOJ3-/?�.pJ39�2:='13-@?�]L-/=�B/2:V RO1lJ32MG<="R�1NA�B�J3Rp;>=�AOJ3-@A�B�]LR�?�c�2m13;>-@R�?�Y)7:9�2WB/2MV Jx�.�0�132W;>9�R`DF;CAsV 0�B/BÎv]LR�?�?�2L]MJ32ya8A�;>;>R�]L-@AOJ3-/c�2b?�2mJ��9�2m132S132L=�132M;>2L?�J32yawi�I�p?�2L0'13R�?�A�B'0�?�-^J3;LY�=�A`1>JWR�VJ39�2s?�2MJlDF-/B@B;>2L2dA8a'2LB@AyI�2yav132L=�B/-/]yA8ROV�J39�2s-/?�=�0�JS;>-@.�?�AOB � J>h34��mY��d0�J3=�0'J3;CVk13R�G ;>R�G<2R�V�J39�2b0�?�-/J3;lDF-@B/B i"2bG<-/\'2yavDF-^J39fJ39�2b-@?�=�0'J:;>-/.�?�A�B Y:7:9�2s13-/.�9�Jlx�.�0'132d;>9�R`DF;:J39�2s;3AOG<2d-/?HAG<R�132FV RO13GfA�B/-��L2ya<DWALI�Y� ?�2mJQD:RO13Tv="R�=�0�B@AOJ3-/R�?z-/;S132M=�132L;>2L?�J32ya<9�2M132si�IvAj132L]mJNA�?�.�0�B@AO1:i"R`\ Ys?nR`c�AOB)DF-^J39 AO? A`1>13R`D ;>9�R`DF;jJ39�A`JgJ39�2v="R�=�0�BkA`J3-/R�?o-/;g132L]L0'1>132L?�JyY�s?oAO13]<i�-@?�a�-/?�.zJQDSR?�2mJQD:RO13Tv="R�=�0�B@AOJ3-/R�?�;SJ3R�.�2MJ39�2M1WG<2yAO?�;lJ39�AOJ:A�B/B"0�?�-/J3;l-/?HR�?�2b="R�=�0�B@AOJ3-/R�?HAO132s=�13R��E2L]MJ32LazR�?A�B/B�0�?�-^J3;W-/?_J39�2pR�J39�2M1b="R�=�0�B@AOJ3-/R�?5-/?zJ39�2ja�-^132L]mJ3-@R�?5R�V�J39�2jAO1>13RyDF;LY~+�gQµaXSLS\UP_6ObazILO}± Q�ugQ6I¯®¢UXZL°Êl4UPMPQTc�_h�NU SkQmu/ObS»UXW « a¬j QTSkORaXuÊI¯jJp`Q Ð DiaXuNSkugQmZ�¶ �r°XQT´�QTZk�

Ò�� Ñªqw~+�gQTZkQ»aXZkQ�S\QT±XQmZhadcrZkQ�aXSkUXuNS'W¥U Z@_h�gU$UJS\ORug�wa « a¬j QTSkORaXu!ugQmI¯®xU Zk°�qw~+�gQ�c}Q�adZLugORug�ZLKgc}Q�ObSrW aXO}ZLcRj·S\ORltpgc}Q'adu�M»´gORUXcRUX� OR_TadcRc}j4ZLQTaXSkUXu�ad´gcRQXqG~+�gQ « a¬j QTSkORaXu·_6ZLOÎLQmZLO}U u·ObSVadcbS\U4_6UXug¸SkORMPQTZkQ�M�ILU�´`Q4Ik�gQ4´�Q�S¯I�ORuµ_mUXltpNaXZkObS\U u�®VOÎL�!UXIk�gQTZ�_6UXltltUXuµ_6cbaXSLS\O}]NQTZLSºaXS��GQmZh_6QTpPIkZLUXuÐ DiO}uNQTadZªÑª¶ DiQTa S¯I0��Q�adu�Hg§ K�adZLQ'aXuNM:H$O}� ltUXObM¹Ð « aXZkuNaXZLMf¶gv¢a Ska S\QTuJI Ò�� ÑªqG~+�gQ'c}Q�adZLugORug�pgZLUX´gcRQml�ORu.IL�gQTSkQxI¯jJp`QTSsUXW « a¬j QTSkORaXu�ugQ6I¯®¢UXZL°PSiObS�ltaXO}uNc}j8a�§JKgQTS\IkORUXu8UXW�_6U c}cRQT_6IkORug�'S¯IhazIkObS\¸IkOb_mSTq+~+�gQ�®xQTO}� �JILSCaXZkQ8_mUXltpgKPILQTM�W¥ZkU l�l@KPIkK�adcRc}j�_6UXu�MPOÎLO}U uNadcipgZkU ŃadŃO}cROÎLO}Q�S8Ð a SkSkKgltORug�ORuNMPQmp`Qmu�MPQmuJICpNadI\IkQTZku�SLÑ6¶NS\K�_h�»IL�NazI��

� g | > cRu�� Ð�� ¯Ñ� Ð��JÑ >/cRu�� Ð��! ��¯Ñ

� Ð"�¯Ñ � Ð��$Ñ Ð " Ñ

~+�gQ�ltQ6Ik�NU$M�KNSkQTMFORuFIL�gObS@®¢UXZL°!W¥UXZt_6UXcRcRQT_ªILO}uN�¹ZLQmcRQm±zaduJI4S\ILadIkObS¯ILOR_TS4ORS4adu#O}uN_mZkQTltQmuJILaXccRQTadZLugORug�8ZLKgcRQ.Ð#�r°XQm´`QmZL�·qR¶ p`QmZhSkUXuNaXc�_6U ltl.KgugOb_madIkORUXu�Ñ6qs~+�NQ[pgZLUXŃaX´gORc}O}IkORQTSxadZLQCQTS\IkORlnazIkQ�M®VO}Ik�gU KPIºpgZLORUXZ[°$ugUz®VcRQTMg�XQ�UdWGIL�gQ.pNadI\ILQmZLuNS[´$j�KNSkO}ug�»Q6½Pp�U ugQmuJILORaXc�_6U u$±XUXcRKPILQTS[aXuNM�Ik�$KNS®VORc}cV´`Q:�XU$UPM¦QTS\IkORlnazIkQ�S4W¥UXZt´ÙdIk�ÊS¯IhazILO}U uNadZLj¦aduNM#ugUXug¸�S\ILadIkORUXuNaXZkjµpgZLU$_mQTSLS\Q�Smq¦{|u#Ik�NQugUXILazILO}U u�KNSkQTM'�gQTZkQxH;AmÐ¥u�ÑiORS�SkaXltpgc}Qr±¬aXc}KNQ=W¥UXZ�KgugO}IGAf®V�gQTu'Ik�gQxu � IL�8pNadI\IkQTZku�ObS�pgZkQ�S\QTuJIkQTMfq��O AmÐ¥u`Ñ�ORS'IL�gQ·_6U ltp�U KguNM!pgZkU ŃadŃO}cROÎ¯jwIk�NadI8KgugO}I8OraduNM A�adZLQtSkORl.Kgc}ILaXugQmU KNS\cRj¹a _ªIkOR±XQ q4IObSVa.ILO}ltQ8_mUXuNS\ILaXu I+IL�NazICObSV_h�gU SkQmu�cbadZL�XQ�QmugU Kg�X�»IkU·Skl4U$UXIk��UXKPICSk�gUXZkI+IkQmZLl ±zadZLObazIkORUXu�S´gKPI[Sk�gU Z\IVQmuNUXKg� �»ILUtW¥UXcRc}Uz®uNUXuNS\ILadIkORUXuNaXZkjnpgZLUP_6Q�SkSkQTSTq

#� 7 T%$ Q ;| > #� 7 T ;| �'& 7 T ;| � #� 7 T ;|�

#� 7 T($ Q ;g | > #� 7 T ;g | �)& 7 T ;g � & 7 T ;| � #� 7 T ;g |� Ð & Ñ

&

Y�pgZLUX´gcRQml�®VOÎL��Ik�gQ�S\Q'W a S¯I[aXuNM:S\ORltpgc}Q�cRQTaXZkuNO}ug�tZLKgcRQTS+ORu�U ugQ�cba¬jXQmZ+ugQmILSVObS+IL�NazICpgZLUX´g¸adŃO}cROÎLO}Q�SxaXZkQ�aXSLS\KNl4Q�M4IkU4´�QºpNadORZL®VORSkQ[ORuNMPQTp�QTuNMPQmuJI�q�~+�gORSxltQTaXuNS�IL�NazIV_6QTZ\IhadORu·pNadI\IkQTZku�SadZLQ�ugUdInMPObS¯ILO}ug� KgObS\�NaX´gcRQXq�{�InObStp�UJSkSkOR´gc}Q�IkU¦MPQ�adc+®VO}Ik� MPQmp`QmuNMgQmuJI·pNazIkIkQTZkuNS4´$j¦KNSkO}uN�l.KNcÎLO}cRQm± QmcsugQ6IhSmqO�Cq �Nq�a·U ugQ.cRQm± Qmc « a¬j QTSkORaXu:ugQ6I¯®¢UXZL°�_mUXKgcbM�´`Q@QTug�NaXuN_6Q�M�´$jw_6UXltpgcRQ6½ugUPMPQ�SnÐ DiaXuNSkugQmZ�¶8��° Qm´`QmZL� Ò�� $XÑª¶²O q Q q�lXO}uJIkQTZkuNQmKgZLUXuNS�lg¶�®¢UXZL°$O}ug��aXSºW¥QTadIkKgZLQnMPQ6ILQT_6IkUXZhST¶Ik��azI�adZLQrKNSkORug��a�MPO}È`QTZkQTuJI=aXuNM8ltU ZkQ+_6U l4pNc}Ob_madIkQTM.c}Q�adZLugORug�[ZLKgcRQXqs{|u.IL�gORSs®¢UXZL°�Ik�gQTZkQ+�Na S´`QmQmu�ugUtazIkIkQmuJILO}U u�pNaXORM·IkU4Ik�NORS+pÙ SLS\OR´gORc}O}I¯jXq QmZLQX¶PUXuNc}jnU ugQºcba¬jXQTZxuNQ6ILS+®VO}Ik��ORuN_6ZLQmltQmug¸ILaXc « a¬j QTSkORaXu4cRQTaXZkuNO}ug�@adZLQ[_6U uNS\ObMPQTZkQ�M²qGÉ!Q�aXSLS\KgltQ[Ik�NadIrIk�NQºpgZLUXŃc}QTl UXWfO}uNMgQmp`QmuNMPQTuN_6Q�Na Sn´�QTQmuÃSkUXcR±XQ�M�´`Q6W¥U ZkQwIk�gQwORugpgKgI�ObS·�XOR±XQTuÊIkU�Ik�NQ!~�Qmltp�U ZLaXc[Y[SLSkU$_mORadIkOR±XQ�eCQmI¯®xU Zk°Ð ~sY[e�Ñªq�{|u�a:uNQ6I¯®¢UXZL°w®V�gQmZLQ A¯KNS\I.UXugQnMPQTcRa¬jµS¯ILQmp�ObS�KNSkQTM²¶ aXS�Sk�gUz®VuµO}uµ]N� KgZkQJ@g¶iO}I8ORSpÙ SLS\OR´gcRQCIkU4S¯ILUXZLQ[SkQT§JKgQmu�_6QTSx®VO}Ik�»a@_6UXuJILQ6½$IxcRQmug�XIk�·UXWfUXugQ q=~iU@ZkQ�_madcRc�SkQT§JKgQTuN_6Q�S�ORu·IL�gORSugQmI¯®xU Zk°�¶²UXKgIkpgKPI�W¥ZLUXlÆIk�gQtpNaXZ\I�UdWxIk�gQnuNQ6I¯®¢UXZL°:Ik�NadI8ORS�S\IkORl.KgcbazILQTM!®VOÎL�gUXKgI.MPQmcba¬j�ORSW¥QTM¹ŃaX_h°:adu�MwltO^½PQ�M�®VOÎL�wIL�gQ4MgQmcba¬jXQTM�S\IkORl.KNc}KNSTq�~iU�lnaduNaX�XQ8cRUXug� QmZ�_6UXuJILQ6½$IºcRQmug�XIk�NSIk�NQ@ltU S\I'UX´$±$O}U KNSCIL�gORug��®¢UXKNcRM¹´�Q@IkU:aXMgM¹ltUXZLQ@S\IkORl.KgcRKNS'MPQmcba¬j:c}ORugQ�S[IL�$KNS'S\pgZLQTa MPORug�Ik�NQ»ILQmltp�U ZLaXcxORuPW¥U ZklnazILO}U uFUz±XQTZ.a!cRaXZk� QmZ8ugQmI¯®xU Zk°�¶s]N� KgZkQ �gq�~+�gQ�UXKPILpgKPILS@W¥ZLUXl³Ik�NQSkKg´gugQmILSVObSC_6U KgpgcRQTM»IkUtIL�gQ8MPQmcba¬j·cRO}uNQTSCaXuNM·W¥ZLUXl�Ik�gQTZkQ'pgZLUXp�ad� adIkQ�M²q=~+�gORS+ObSVZLQ6W¥QTZkQ�M·ILU�gQTZkQ»a S�UXKgIkpgKPI@W¥QmQ�MPŃaX_h°�q�~+�gQ»MgQm�XZLQmQnUXWCUXKPILpgKPI8W¥QTQTMP´�aX_h°µORS.ugUdI@_mZkO}IkOb_maXcr´gKgI4SkUXltQIkQ�S¯IhS.Sk�gUz®¢QTM!ZLadIk�gQTZ8�XU$UPM¹ZLQTSkKgc}ILS.®V�gQmuµIk�NQ·UXKPILpgKPIhS.adu�MµIk�gQ·ORugpgKgILS8ORu"{NKNQmuN_mQTMµIk�NQpgZLUXpNaX� adIkQTM4MgadILa�®VO}Ik�nU ugQC�NaXc^W²QTa _h�fqs{�WÌL�gQ[U KPIkpNKPI�W¥QmQ�MPŃa _h°@ObS=ILUJU�cbadZL�XQ+IL�gQCugQmI¯®xU Zk°®VORc}c=�Na¬± Q.�NaXZLMwIkU�_h�NaXug�XQ4a»W aXKgc}I¯jwMPQT_mORSkO}U ufq.{|u!Ik�NQt_mUXZLZkQ�S\pÙXu�MPO}uN�·®¢a¬j:IL�gQtugQ6I�®VORc}c´`Q8S\QTuNS\O}IkOR±XQ�ILU4uNUXObS\Q�®V�gQTu»IL�gQ�ORu"{NKgQTuN_6Q�UXW�IL�gQ�O}uNpgKPILSCORS¢ILUJUn�NO}� �fq

D

D

D

D

D

,�-/.�0'132��'6 ?�2mJQD:RO13T<DF-/J39��wa�2LB@ALIH;EJ32L=�;WJ39�A`JF]LR�0�B@a_GfA�?�A�.�2g]MR�?�J32M\�JFB/2L?�.OJ39�;FR�V��YS7:9�2;EJ3-/Gw0�B@-)-/;j=�13R�=�A�.�AOJ32yan-@? J39�2<a'-^132L]MJ3-/R�? ROV:J39�2wc�2M1>J3-/]yA�BCA`1>13R`DF;LY FV J32M1jJ39�2w?�2MJ+D:R�13TU9�A�;132yAO]m9�2ya AP;EJNAOJ32zR�VF132LB@AO\�AOJ3-/R�? -^J8=�13R�a�0�]L2L;wA�? R�0'J3=�0'J8Vk13R�G 2yA�]N9�?�2L0'13R�?�AOBS="R�=�0�B@A`J3-@R�?� J39�2F132L]MJNAO?�.�B@2M; �mY �d0'J3=�0�J3;)V 13R�G�J39�2b?�2M0�13R�?�A�B ="R�=�0�B@AOJ3-/R�?�;WA`132dV 2yafi�AO]mT8J3R J39�2d;EJ3-/Gw0�B@0�;=�13R�=�AO.�AOJ3-/R�?wB/-/?�2:AO;�J39�2lAO1>13RyDF;).�R�-@?�.bVk13R�G J3R�=8ROV"AW132L]MJNAO?�.�B/2WAO?�agB/2MV J+DWA`1Na�; ;>9�RyDgY)7:9�2L;>2]LR�?�?�2M]MJ3-/R�?�;bA`132g9�2M132g]yAOB/B@2La5R�0�J3=�0�J:V 2L2ya'i�A�]NTUY~+�gQ�S¯ILUXZhad�XQC_TadpNa _6O}I¯j�Ð��`lnaz½NÑ�O}u�adu»a SkSkUP_6ObazIkOR±XQVuNQ6I¯®¢UXZL°@ZLQmcbazILQTSrIkU8IL�gQ�uJKNl.´`QmZ¢UdW

KgugO}ILS.Ð eºÑ6¶N®V�gQTZkQOlXc}uKl4ObS¢Ik�gQ�u�azIkKNZLaXc²c}U � adZLO}Ik�gl:¶PaXS�Ð Diadu�S\ugQTZT¶p�r°XQT´�QTZk� Ò�� "XÑ0�

� }�� > ��Ð��cRuiÐ � Ñ Ñ R�� Ð $XÑ

É/�gQTu#S\IkUXZLORug�wS\Q�§JKgQmuN_mQTS@UdWCpNadI\ILQmZLuNS8ORu�awuNQ6I¯®¢UXZL°`¶=_mUXuP]N� KgZLQTM�aXS@O}uF]N�XKgZLQ?@g¶GIk�NadI_6U KgcbMFlnaduNaX�XQ:a!_mUXuJIkQm½$I4cRQmug�XIk�ÊUdW�UXugQ ¶�OÎn®¢UXKgcbMF´`Q:Q6½Pp`QT_ªILQTM�Ik�NadItIk�gQ:lnaz½PORl.Kgl

$

u$Kgl.´`QmZVUXWGSkQT§JKgQTuN_6Q�S+UdWsc}QTug�dIL� lXctl4pÙ SLS\OR´gcRQ�IkUnS¯ILUXZLQ'®xU KgcRM�´`Q

&�� }�� > � � Ð�� 7 � ; Ñ R � Ò� Ð � Ñ

~+�gQtaXSLS\KNl4pgIkORUXu¹´`Qm�NO}uNM¹Ik�NORS'ObSºIk�NadI'Q�aX_h�wORuNS\ILaXu IhadugQTUXKNSºpNadI\IkQTZku!O}u!Ik�NQ4SkQT§JKgQTuN_6Q4ORS_6UPMPQ�MtaXS=a�SkO}ug� c}Q+KguNOÎ�qs{�WÌk�NORS=ObSGIL�gQC_ma S\Q ¶zIk�gQC]NZLS\I�aduNM4cbaXS\IrS¯ILQmptUdW`QTa _h�4SkQT§JKgQTuN_6QV®VORc}cugUXI[�XQTugQmZhazILQ.adu$j»®¢QmOR�X�JIº_h��adug� QX¶NO q QXqVQTa _h��pNazIkIkQTZku�ORuwa·SkQT§JKgQmu�_6Q8ObS[a SkSkUP_6ObazIkQ�M:®VOÎL�O}ILS�W¥UXcRcRUz®xQTZT¶�Q6½g_mQmpPI�¶fUdW+_6UXKNZLSkQX¶`W¥UXZ�IL�gQtcRa S¯I�UXuNQXq.É/�NQmuµ®xQtaXMgM!ltUXZLQ4MgQmcba¬j�c}ORugQTSºILUlnaduNaX�XQ'_6U u ILQ6½$ILS¢UXWic}QTug�dIL�`l _"lN¶$a S¢O}u�]N�XKNZkQO@P¶$®¢Q�®¢UXKNcRM²¶$®VO}Ik��Ik�gQ�SLadltQ�aXSLS\KNl4pgIkORUXuaXS+ORu�Ik�gQ�pNZkQT±JORUXK�SxQm½gadltpgcRQX¶PQ6½Pp`QT_6IVIk�gQ�lnaz½PORl.Kgl _maXpNaX_mOÎ¯jtILUn´�Q8MPQ�_6ZLQTa S\Q�MnIkU

&�� }�� > � � Ð �� 7 � ; Ñ R � �M�W@ Ð � Ñ

É/�gQTu¹®¢Q.ugQTQTM�ILU·ILZkQ�azIºcRUXuN��_6U uJIkQ6½$I�c}QTug�dIL�NSm¶�®VO}Ik�¹Ik�gObS�l4UPMPQTcÄ¶�± QmZLj�cbadZL�XQ@adltUXKguJIhSUdW�®xQTO}� � IhSxaXZkQ[ZkQ�§ KNO}ZLQTM²q=~+�gQºu$Kgl.´`QmZ+UdW�®xQTO}� � IhSr®VORcRcÒRuN_mZkQ�aXSkQC®VOÎL�·IL�gQ�SL§JKNadZLQ[UXWfIk�NQ_6U uJIkQ6½$IVcRQmug�XIk��lX_�l»¶ ®V�gQmZLQoldu�l.ObSVu$Kgl.´`QmZVUXWsKNugOÎhSVORu:atSkO}uN�XcRQ�p�azI\ILQmZLu8�

� � �I� >��LÐ�� Ò Ñ�� R Ñ�� Ð� � Ò Ñ�� Ð Ò �JÑ

� � 5� s<z�� <=>C9wÂ:¡¢ h�6147 9wÂ:> G1B ��" > �T7��5�<z�65874 ¤<=>[3m5� ��m1@7:DÉ/�gQTu.cRUJU °$O}ug��azIsIk�gQ+_6U ugugQ�_ªIkORUXu@lnazIkZLO}½nÐ¥]N�XKNZkQF!JÑiUXugQ+_6U KgcRM8Q6½Pp�Q�_ªI=S\U ltQ¢Skj$l4ltQmIkZLO}Q�SIkU4´`Q[W¥U KguNM»MgKgQ�IkU@MgQmp`QmuNMPQTuN_6ORQTS+´`Q6I¯®¢QmQTu·pNadI\IkQTZku�S¢adI+MgO^È�QmZLQmuJI¢IkORl4Q�S¯ILQmpNSTq=YltadIkZLO^½QmcRQmltQTu Iºc}OR°XQ�� I\¸ �g¶ I\¸I@��fIL�NazI�_6UXuNugQT_6ILSCU KPIkpNKPICW¥ZLUXl ILO}ltQ�S¯ILQmp�Ð¥I\¸ � Ñ+®VO}Ik��ORugpgKPIhS[adI@Ð Ik¸E@ ÑSk�gUXKgcbM�´�Q'IL�gQ8SkaXltQ'a S¢Ik�gQ�QTc}QTltQmuJI�� Ik¸ !�¶ Ik¸ ��fQ6Ih_dq

t t-1 t-2 t-3 t-4 t-5t

t-1

t-2

t-3

t-4

t-5

inputs

outp

uts

,�-/.�0'132 ��6 7:9�2w]LR�?�?�2L]MJ3-/R�? GfAOJ>13-^\PJ39�A`Jj]LR�?�?�2L]mJ3;ja�- � 2M132L?�JgJ3-/G<2L;EJ32L=�;pDF-/J39n2yA�]N9 ROJ39�2M1yY�di�;>2m13c�28J39�AOJdJ39�2w2LB/2LG<2M?�J3;dR�VSJ39�-/;pGfAOJ>13-^\UA`132<A�B/;>R5GfA`J>13-@]M2L;dDF9�-/]N9nGfAOT�2jJ39�2w?�2MJQDSR�13TAOJs2yAO]m95J3-/G<2L;EJ32L=5132M]L0�1>132L?�JyYF7:9�2j-@?�J32M13='132MJNAOJ3-/R�?P-@;FJ39�A`JsJ39�2jR�0�J3=�0�J3;WV 13R�G J3-/G<2L;EJ32M=_J>h �]LR�?�?�2M]MJ3;WJ3Rv-/?�=�0'J3;FAOJFJ3-/G<2L;EJ32L=zJ>h � A�?�aH;>R<R�?Y{�WsIk�gQ.Skj$ltl4QmIkZLj»pgZLORuN_6ORpgcRQ�ORSº_6UXZLZLQT_ªI¢Ik�NQmu�®¢Q�®xU KgcRM�� Q6I[atlnazILZkO}½�cRO}° Q'Ik�gQ.UXugQ�ORu

]N� KgZkQ,"Pq=~+�gQ�_6UXuNugQT_6IkORUXu·lnazILZkO}½n®VO}cRc��Na¬±XQ�a.MPObad� UXuNaXc�S\IkZLKN_ªILKgZLQ[®V�gQTZkQºQTaX_h�»QmcRQmltQmuJIT¶ZLQmpgZLQTSkQmuJIkORug��Ik�NQ�SkQ6I8UdWV®¢QmOR�X�JILS8pgZkU'A¯QT_6IkORug��UXugQnpÙXpNKgcRadIkORUXu¦U uFadugUXIk�gQTZT¶�ORS@_6UXu�S¯IhaduJIadcRUXuN��a�MPObad� UXuNaXcÄq o KgQtIkU�Ik�NORS8Skj$ltl4QmIkZLOR_tS\IkZLKN_ªILKgZLQ@IL�gQnu$Kgl.´`QmZ.UdWxKNugOR§JKgQn®¢QmOR�X�JIhSObSCZLQTMPKN_mQTM�IkU»O}uN_mZkQ�aXSkQ'c}ORugQTaXZkcRj»®VO}Ik�wIk�gQ._mUXuJIkQm½$ICc}QTug�dIL��O}uNS\IkQ�aXM:UXWG� ZkUz®VORug�4®VOÎL��Ik�NQSL§ K�adZLQXq

�

t t-1 t-2 t-3 t-4 t-5t

t-1

t-2

t-3

t-4

t-5

inputs

outp

uts

,�-/.�0'132 ��6��p0�2 J3RH-/?�c�AO13-@A�?�]L2wi"2MJ+D:2L2M?oa'2L="2L?�a'2L?�]M-@2M;gAOJja'- � 2M132L?�JpJ3-/G<2L;EJ32L=�;sJ39�28GfAOJ>13-^\DF-/B/B�;>9�RyD(Ava'-kAO.�R�?�A�B�;EJ>130�]MJ30'132�Y

« j.KPILO}cRORÇmORug��Ik�NQºMPObad� UXuNaXcgS¯ILZkKN_6IkKgZLQVUdW�IL�gQ[_6U ugugQ�_ªIkORUXutlnazILZkO}½@O}Ir®¢UXKgcbM4´�Qºp�UJSkSkOR´gc}Q ¶XORua[SkORl.KgcbazILQTM�ugQmI¯®xU Zk°�ltUPMPQmc ¶¬IkUºKNS\Q¢a[SklnadZkIic}U$U °JKNp8UdWg®¢QmOR�X�JI�±zaXc}KgQ�Smq�{�WgIk�NORS�ORS�pÙ SLS\OR´gcRQIkU�ZLQTaXc}ORÇmQnORuFa�SkO}l@KgcRadIkQ�M!ltUPMPQTcrO}I.ORS@S¯ILO}cRc ¶��gUz®¢Qm± QmZ�¶fugUXI.±XQTZkj¹adI\ILZLa _ªIkOR±XQt´`QT_TadKNSkQ·O}IObS@S\IkORc}cV_mUXltpgKPIhazIkORUXu�adcRc}jµQ6½Pp`QmuNSkO}± Q�aXuNM�IkUXILaXc}cRj!KNugpgcbadKNSkO}Ńc}Q�W¥ZkU l a�´gORUXcRUX�XOb_maXcrpÙXORuJIUdWG±$O}QT®�qx{�Iº®xU KgcRM:aXcRSkUt´�Q8ZhazIL�gQmZ[KgugpgZhaX_6IkOb_madc�ILU·ORl4pNc}QTl4QTuJICIk�gObSCltUPMPQTcfO}u��adZhMP®¢aXZkQ q�GQmZL�NaXpNSfO}I�_6UXKNcRM.´�QVa�_6ZLQTazILO}± QxaXpgpgZLU aX_h�'ILUºZLQTa S\U u8ORu.IL�gQrW¥U c}cRUz®VORug�º®+a¬jXq�~+�gQ+l.Kgc}IkORpgcRQSkQ6ILSrUdW²QT§JKNaXcg®¢QmOR�X�JILS�aXc}U ug�'Ik�NQ[MPObad�XU uNadcbS=adZLQVZLQTMPKgu�MgaduJI�ORunIk�gQºS\QTuNS\Q+IL�NazI�¶ U uN_6Qºa�S\QmIUdWf®¢QmOR�X�JIhS=�NaXSx´`QmQmu»KNS\Q�MtO}u·Ik�gQ�ZkQTcRad½gazIkORUXutO}IxObS�pÙ SLS\OR´gcRQCILU8O}� ugUXZLQVIL�NazI+S\QmI¢azIrW¥KgZ\IL�gQmZIkORltQTS\IkQTpNSmq�Y[S8a�_mUXuNSkQT§JKgQTuN_6Q ¶i®¢Q·_6U KgcRM!IL�gQmuµIkZLjwILUwS\ORltpgcRj¹ZLQmltUz±XQ4Ik�NQnZkQ�MPKguNMgaXuJIpNaXZ\IGUdWgIL�gQ¢ltadIkZLO^½.a S�Sk�gUz®Vu8´$j']N� KgZLQ & q�~+�gObSsUXp`QmZhazIkORUXu.®xU KgcRM@adcbS\Uºlnad°XQrIk�gQ¢u$Kgl.´`QmZUdWG®¢QmOR�X�JILS¢cRO}ugQ�adZLc}j»pgZkU p�U Z\ILO}U uNadcÌLU@IL�gQ8_6U uJIkQ6½$IVcRQmug�XIk�f¶NSkKN_h��Ik�NadI��

�� 2� >¤Ð � R � �iÑ��XÐ$@n� � � Ò Ñ Ð ÒXÒ Ñ

t t-1 t-2 t-3 t-4 t-5t

t-1

t-2

t-3

t-4

t-5

inputs

outp

uts

,�-/.�0'132��'6 s;>;>0�G<-/?�.8J39�A`JWJ39�2gG80�B^J3-/=�B/2pR�]L]L0'1>132L?�]M2L;FR�V)2��0�AOBDS2L-/.�9�Jb;>2MJ3;bROc�2M1WJ39�2ja'-kAO.�hR�?�A�B/;FAO132b132ya�0�?�a�A�?�J��D:2b]LR�0�B@az;>-/G<=�B/Iw132LG<R`c�2WJ39�2LG)� .�132MI �mYC7:9�0�;CJ39�2bJ3R�JNA�B"GfA`J>13-^\vDF-/B@Bi"2jXh ;>9�A�="2yaHA�?�afJ39�2gAOG<R�0�?�JFROV�D:2M-@.�9�J3;bDF-/B/B�.O13R`D(B/-/?�2yA`13B/IzDF-^J39_J39�2d]LR�?�J32M\�JFB/2L?�.OJ39�Y

Y/ugQmI¯®xU Zk°@®VOÎL�·_6U ugugQT_6IkOR±$OÎ¯j4ZkQ�MPKN_mQTMnaX_T_6U ZLMPORug��IkU8Ik�gQC�$j$pÙdIk�NQTSkORSGIL�NazI¢l.Kgc}IkORpgcRQ[SkQ6ILSUdWsIkORltQ�O}u$±zadZLObaduJI¢®¢QmOR�X�JIhSVadZLQºZLQTMPKNuNMgaduJICObSVS\�NUz®Vu�ORu�]N�XKgZLQ�$$q

�

D

D

D

D

D

,�-/.�0'132��6 7 sr � 7�2LG<="RO1NA�B%s;>;>R�]M-kA`J3-/c�2:rd2mJQD:RO13T!�DF-^J39 �ba�2LB@ALIj;EJ32L=�;�A�?�ajZ�132La�0�?�a�AO?�J3Z]LR�?�?�2M]MJ3-/c'-^J+Iz132MG<ROc�2yaY

~�U»_h�NadZhaX_6IkQTZkORÇmQºIk�gQ@p�QTZ\W¥U ZklnaXuN_6Q'UdWGIL�gQ.pgZLQTSkQmuJICltUPMPQmcsaduNM�ILU·ORuJ± QTS\IkOR� adIkQ�Ik�gQ@Q6È�QT_6IUdW¢ZkQTltUz±JORug�»Ik�gQ\ldZLQTMgKguNMgaXu I!l·pNaXZ\I�UXW�Ik�gQnlnadIkZLO^½¹SkUXltQ@IkQTS\ILS'��a¬±XQ.´`QmQTu!p`QmZkW¥UXZLltQTM²q]N� KgZkQ � Sk�gUz®CSVSkUXltQ�ZkQ�S\KNcÎhS+W¥ZkU l IkQ�S¯IhSVIL�NazIC�Na¬± Q'´�QTQmu�ZLKgu:KNS\ORug�nZhaduNMgUXl�SkQT§JKgQTuN_6Q�SUdW�_h�NaXZLa _ªIkQTZLS4aXStORugpgKgITq �xaX_h� _h�NadZhaX_6IkQmZt�Na St´�QTQmu/_6UPMPQ�M aXSnaµKgugOb§JKgQwaX_6IkOR±XQ:KgugO}ITq« j�_6UPMPORug��Q�aX_h�w_h�NaXZLa _ªILQmZ[KNugOR§JKgQTc}j�®¢Q@aXZkQ4S\KNZkQ.Ik�NadIºIL�gQ4_h��adZhaX_ªILQmZhS+Ik�NQmlnS\QTc}± QTS�adZLQpNaXO}ZL®VORSkQtO}u�MPQmp`QmuNMgQmuJITq»~�QTS\ILS8®V�gQmZLQnMPORS\IkZLOR´gKPIkQ�M�_h�NadZhaX_6IkQmZ�_mU$MgO}ug�:ObS�KNSkQTMµ�Na¬± Q4aXcRSkU´`QmQmu¹p�QTZ\W¥U ZkltQTM:®VO}Ik�!ZkQ�aXSkUXuNaX´gcRQ�ZLQTSkKgc}ILSºUXu:IL�gQ.cbadZL�XQTZCugQ6IhS[ŃKPI[IL�gQmj�adZLQ8ugUXI�Sk�gUz®Vu�gQTZkQ qw~+�gQ»SLadltQ»SkQ6I@UXW+IkZhadORugO}uN�¹aduNMµILQTS\I4MgadILa��aXS8´`QmQTuFKNSkQTMµW¥U Z@adcRc�IL�gQ·W¥U c}cRUz®VORug�IkQ�S¯IhSmq

0 10 20 30 40 50 600

20

40

60

80

100

6x7 units6x14 units6x21 units6x42 units

Full Connection Matrix

# Sequences, L=12

% C

orre

ct S

eque

nces

0 10 20 30 40 50 600

20

40

60

80

100


Reduced Connection Matrix

# Sequences, L=12

% C

orre

ct S

eque

nces

,�-/.�0'132��6seSR�G<=�A`13-/;>R�?UR�VCi"2L9�A`c�-/R�1si"2MJ+D:2L2L? Af7�br DF-^J39UV 0�B/B�]LR�?�?�2L]MJ3-/R�?UGfAOJ>13-^\ � B/2MV J �A�?�a A 7�brKDF-^J39 132ya'0�]L2ya ]LR�?�?�2L]mJ3-@R�? GfAOJ>13-^\ � 13-/.�9�J �mY(7:9�2P;3A�G<251NAO?�a'R�G ]N9�AO1NAO]MJ32M1;>2��0�2M?�]L2L;F9�A�;bi"2L2L?50�;>2yaH-/?Pi"R�J39zJ39�2pJ32L;EJ3;LY:7:9�2gc�2m1>J3-@]LA�B�A`\'-@;F;>9�R`DF;bJ39�2p="2m13]L2L?�JNA�.�2 ROV;>2��0�2M?�]L2L;�J39�AOJ 9�A�;)i"2L2L?f4��di"2L2L?8;EJ3-/Gw0�B@A`J32yajDF-^J39 J39�2lx�13;EJ J39�132L2S;EJ32L=�; ROV�J39�2S;>2��0�2L?�]L2L;B/2yAO13?�2yaY

É/�gQTu�_mUXltpgcRQ6IkORUXu»IkQ�S¯IhS¢aXZkQ�ZLKgu»U u·Ik�NQ�uNQ6IV®VOÎL�·W¥KgcRciaXuNM·ZLQTMPK�_6QTM�_6U ugugQT_6IkORUXu�ltadIkZLO^½®¢Q·S\QTQX¶�a S�]N�XKNZkQ � Sk�gUz®CSm¶iIk�NadI�Ik�gQnuNQ6ILS.´�QT�Na¬±XQnaXc}ltU S\I�QT§JKgOR±zadcRQmuJIkcRjXq»YºS.a�lnazIkIkQmZUdW�W aX_6IT¶PIL�gQ�ugQ6IhS+®VOÎL�:ZkQ�MPKN_6Q�M»lnadIkZLOR_mQTS¢p�QTZ\W¥U Zkl�S\cRO}� �JIkcRj·´�QmI\ILQmZCQm½P_mQmpPI+W¥U Z+Ik�gQ�SkltaXc}cugQmI4®VO}Ik� !-@�KguNOÎhSmq�~+�gQ»ZLQTSkKgc}ILS4ad´Ùz±XQ·ORuNMPOb_madIkQ»Ik�NadI@IL�gQ�pNZkORuN_6ORpgcRQ·W¥U Z8IkQTltp�U ZLaXcrILU

Ò �

SkpNazILORaXci_6U uJ± QmZhS\ORUXui¶$Ik�NadI[ORSCKNS\Q�M:�gQmZLQX¶�_6UXKNcRM:´`Q.atKNSkQ6W¥Kgc�ltQ6Ik�NU$M�W¥U ZCORl4pNc}QTl4QTuJILazILO}U uUdW=SkQT§JKgQmuJILORaXc�a SkSkUP_6ObazILO}± QºltQmltU ZkORQTSTq

� E�>y�¬ )��0 �mÁ�4 2¡V1@7t s> �· ÌºugQ8ZLQTa S\U u�W¥UXZ[K�S\ORug�»anuNQ6I¯®¢UXZL°·Ik��azIºObSºZkQ�_6KgZLZkQTuJICO}u:IL�gQ8ILO}ltQ@MgUXlnadORuf¶�aXSC®¢Q.MPObM�ORuIk�NQ[pgZLQm±$ORUXKNS�SkQT_6IkORUXuf¶ ORS�Ik�NadIrIL�gORSrlnad°XQ�S=O}IxpÙ SLS\OR´gcRQVIkU.MgU8pNazIkIkQTZku·_mUXltpgcRQ6IkORUXu�S=®VOÎL�gORuIk�NQ�®V�gUXcRQ�lnaduNaX�XQTaX´gcRQ�_mUXuJIkQm½JIncRQmug�XIk�ÊW¥UXZ·Ik�gQ�ugQmIT¶+O q Q q/®xQ�ugUXI·UXugcRjFlna¬jFpgZLQTMgOR_6IIk�NQtW¥KPIkKgZLQtW¥ZLUXlÆU cRM�MgadILag¶i´gKPI.adcbSkU�ILQmcRc�®V�NadI�Ik�gQnpNa S¯I8Sk�gUXKNcRM!�Na¬±XQt´`QmQTuf¶iŃa S\Q�M¹U uZLQT_6QTuJI[MgazIhagqD�xadZLc}ORQmZ+®¢Q8MPQ6]�ugQTM�IL�gQ._6U uJIkQ6½$ICcRQmug�XIk�:W¥U Z[anS\Q�§JKgQmuN_mQ8aXS¢IL�gQ8lnaz½PORl.Kglu$Kgl.´`QmZxUdW²ILO}ltQTS\IkQTpNS�ZLQT§JKgORZLQTM4IkU@S\p`QT_mO^W¥jtQTa _h�·_6U u ILO}u$KNadIkORUXutKgugOb§JKgQmcRjXq=~+�gQ�_6U u ILQ6½$IrORu�gObSCMPQm]NugO}IkORUXuw_6U KgcbM�´`Q.MPQ�S\OR�Xu�azIkQ�M ldcRQ6W I\¸|_6U uJIkQ6½$I!lgq�{|u:IL�gQ8SkaXltQ�®¢a¬j ¶KldZLO}� �JI\¸|_6UXuJILQ6½$I�l_6U KgcbM�´`Q.MPQm]NugQ�M�aXS+IL�gQ8u$Kgl.´`QmZ[UdW=S¯ILQmpNSVZLQT§JKgORZLQTM�IkU·Skp�Q�_6O}W¥j�atKNugOR§JKgQ.�gORS\IkU Zkj q�{�I[ObSm¶UdW¢_6UXKNZLSkQX¶�IkUXILadcRcRj�ORZLZkQTc}QT±¬aXuJI[IkU�S\p`QTaX°�ad´ÙXKPI'c}QmW I'aXuNMwZLOR�X�JIºORuwIL�gQ.ILO}ltQtMPUXlnaXO}uwŃKPIT¶O}WC®xQ»a SkSkUP_6ObazILQtIkORl4Q�®VOÎL�f¶GW¥UXZ.O}uNS\ILaXuN_6Q ¶=S\Q�§ KNQmuJIkObadcxZkQ�aXMPORug��UdWVILQ6½$IT¶G®V�gOb_h�FORu¦ltU S\Icbadug� KNad� QTS�ORS'p`QmZkW¥UXZLltQTM¹W¥ZkU lÆcRQ6W I�IkU�ZLOR�X�JIT¶f®¢Qt�XQmI�a�KNSkQ6W¥KNc�O}uJILQmZLpgZkQmILadIkORUXufqnY ltUXZLQ�XQTugQmZhadc=Qm½PpgZkQ�SkSkORUXuµ®xU KgcRMµ´`Q·pgZLQTaXuNMµp�UJS¯Ih_6UXuJILQ6½$ITq:H$QmQTu�W¥ZkU lBa�S\ILazILORS\IkOb_maXc�pÙXORu I@UdW±$O}QT®¨pgZLQ6¸[aXuNMµp�UJS¯Ik¸�_mUXuJIkQm½$I�lna¬jw´`Q·_6U l4p�adZLQTM!®VOÎL�µpNZkQm¸VaXuNMµp�UJS¯Ik¸�MgOR_6IkUXZhSºIk�NadI.adZLQKNSkQTM.IkU�MPQmIkQmZLltO}uNQxIL�gQV_6U ZkZLQT_6Is±zadcRKgQ+UdW�a'S\OR�XuNaXc$ŃaXSkQTM.Kgp�U u@p�aXSLS\Q�M.�gObS\IkUXZLj8adu�M8W¥KPILKgZLQÐ �=aXZLSkUXu�S Ò�� $XÑªq �rZkQm¸faduNM@p�UJS¯Ik¸�_mUXuJIkQm½$ILSs�Na¬±XQxIk�NQCSkaXl4Q+SkO}ÇTQxW¥U Z�adu$j8SkQT§JKgQmu�_6Q+´gKPI=IL�gORSMPU$QTS+uNUdICORl4pNc}j»Ik�NadIVIk�gObSCadltU KguJI+UXWiILO}ltQTS\IkQTpNSVObSVugQ�_6QTSLSLadZLjtW¥UXZCMPQmIkQmZLltO}u�azIkORUXu�UdWsIk�NQSkQT§JKgQmu�_6Q.KNugOR§JKgQTc}j q8~+�gQt_6UXuJILQ6½$IºcRQmug�XIk�µMPQ6]NuNQTSºIk�gQ4ltO}uNO}lnadcGu$Kgl@´�QTZºUXWxMPQmcba¬j�S¯ILQmpNS®¢Q�uNQmQTM»IkUn� QmugQTZLadIkQºIk�gQ�SkQT§JKgQTuN_6Q q�~+�gQmZLQ'lta¬jn´`Q�lnadu$j·pNaXZ\IhS¢UdW=a4SkQT§JKgQTuN_6Q'Sk�gUXZkIkQTZIk��aduwIL�gQt_6UXuJILQ6½$IºcRQmug�XIk�¹Ik�NadI�KguNOR§JKgQTc}jwSkp�Q�_6O}]NQTSºO}ITq8Y[SLSkKgltQ8Ik��azI�a»ugQmI¯®xU Zk°:SkO}ltORcRaXZIkU�Ik�NQ@U ugQ@ORu!]N�XKgZLQ $P¶²´gKPI'®VOÎL� Ò �»MPQTcRa¬j�S\IkQTpNSm¶²��aXS�c}Q�adZLuJI[Ik�NQ@W¥U c}cRUz®VORug��SkQT§JKgQTuN_6Q�S®V�gUJS\Q�_6U uJIkQ6½$IVcRQmug�XIk�:ORS ! �

�� #��#��"�� #��"&�&�� #��&��

{�W�Ik�gQwuNQ6I·ObS·S¯ILO}l@KgcbazIkQ�M�®VO}Ik�/Q q ��qwl �wY=~�lµO}I»®VORc}cCuNUdI·´`Qwad´gcRQ:IkU�KguNaXl.´gOR�XKNUXKNSkc}j_h�gU$U SkQ�an_6U u ILO}u$KNadIkORUXufq¢~+�gQ�ugQmI[®VO}cRc�_h�NUJUJS\Q'U ugQ�UdWsIk�gQ@S\Q�§ KNQmuN_mQTSCaXuJj$®+a¬jXqxvxU uNS\ObMPQTZIk�NQ'W¥UXcRc}Uz®VORug�nS¯ILO}l@KgcRKNS¯¸�ZLQT_maXc}c�pgZLUP_6Q�SkS'Ð#lNq l4ltQTaXuNS+QmltpPI¯j�O}uNpgKPIhÑO�

�� #�� #�� #�� #�� #�� #��#�� #��3& �� #��&�� #��3&�� #��&�&�� #��3&��>� �� #��' &�� #��3&��>�� #��' &��

« j#S\IkORl.KgcbazILO}uN��Ik�gQwSLadltQ�ugQmI·®VOÎL� ��y�� O}I»®VORc}c[ZkQ�_madcRc ��#��#��"�� ¶O q Q q}¶+´$jFKPILO}cRO}ÇTO}uN��Ik�gQwZLOR�X�JI\¸|_6U u ILQ6½$I�Ð¥UXZnpÙ S\I\¸|_6U uJIkQ6½$IªÑª¶+aµIkQmltpÙXZhadcVugQmI¯®xU Zk°�®VO}cRcC´`QadŃc}Q�IkU�ZLQT_maXc}c+aµ®V�gUXcRQ��gORS\IkU Zkj¦U Z�l _maXKNS\Q�lw®V�gQTu#O}InORSnS\IkORl.KNcRadIkQTM�®VOÎL�/a¹pNaXZ\ItUdW�aSkQT§JKgQmu�_6Q8U Zº_h�NaXug�XQ�O}ILS�MPQT_mORSkORUXu�®V�gQTu¹aXMgMgOÎLO}U uNadc�O}ugpNKPIºObSºa¬±zaXO}cbad´gcRQXqVÅNUXZºa�S\Q�§JKgQmuN_mQ�XQTugQmZhazILO}uN�!ugQmI¯®xU Zk°�IL�gObSnORSnaµ±zadcRKNaX´gc}Q:pgZLUXp`QmZkI¯j¦ILUµpNZkQT±XQmuJInugU ORSkQ:O}uÊO}uNpgKPI·ILUµ� O}± QQmZLZLUXZhS+O}uwU KPIkpNKPITq��½Pp�QTZkORltQmuJILS[c}OR°XQ�IL�gQTSkQ.��aXSC´`QmQTuwp`QmZkW¥UXZLl4Q�M:UXu��$Kglnadu�´`QmORug�JSCW¥U ZIk�NQf��ug� c}ObS\�Êcbadug� KNad� Q�Ð H$�NaXugugUXu Ò�� " Ò Ñªq {�I·®+aXS4W¥UXKNuNM#Ik�NadI·Ik�gQ�pNZkQ�MPOR_6IkU Z·aduNM#Ik�NQpÙ S\ILMPOb_ªILUXZ»��a¬±XQ:Ik�NQ!SLadltQw_h�NadZhaX_6IkQTZkObS¯ILOR_TSt´gKPI�Ik�gQ!pgZkQ�MPOb_ªIkU Z·ObS�Skc}OR�X�JILc}j#´�QmI\IkQTZTq¨{�I

ÒXÒ

ltQTaXuNS�Ik�NadI.O}I8ORS8SkUXltQT®V�NazI�QTa S\ORQmZ'ILU:�XKgQ�SkS�a:®¢UXZhM¹®V�NQmu��XOR±XQTu¹IL�gQn´�QT�XORugugORug��UdW+O}IIk��aduÊ�XOR±XQmu�Ik�gQ:QTuNM²q#Yº_ªILKNadcRc}j ¶¢a!ugQmI¯®xU Zk°�®VO}Ik�#IkQmltpÙXZhadcVZLQT_mKgZkZLQmu�_6jX¶=cROR°XQ�Ik�gQ:UXuNQ�gQTZkQ:MPQTSL_6ZLOR´�Q�M²¶x_mUXKgcbMFQ�§ K�adcRc}j¦®¢QmcRc+´�Q:KNSkQTM�IkUµZkQ�_maXc}cVaµS\Q�§ KNQmuN_mQ�Ńa _h°$®¢aXZLMgS@O}W[Ik�NQMPQTcRa¬j4c}ORugQ�Sr®¢QmZLQCZLQm±XQTZLSkOR´gc}Q q « ORUXcRUX�XOb_maXcgQm±$ObMPQmu�_6QVW¥U ZxZLQm± QmZhS\OR´gcRQ+IkQmltpÙXZhadc�ugQ6I¯®¢UXZL°PS�adZLQ_6KNZkZLQmuJIkcRj'Kgug°$ugUz®Vuf¶X´gKPIGW¥UXZ=_6QTZ\IhadORu.pgZLUXŃc}QTl¤MPUXlnadORuNSiIk�gObS=_6U KgcbM8´`Q+aºKNSkQ6W¥KgcPpNZkU p�QTZ\I¯j q~sad°XQxW¥UXZ=ORuNS\ILaXuN_6Q+a�cRaX´Jj$ZLO}uJIL�.cRQTadZLugORug��ugQ6I¯®¢UXZL°'Ik�NadI=�NaXSGcRQTaXZkuJI=a�SkQT§JKgQTuN_6Q¢UdW�IkKgZLuNSsILU]NuNM�O}ILSV®+a¬j·aX_mZkUJSkSrIk�NQ�cRaX´Jj$ZLO}uJIL�fq « j�ZkQT±XQTZLSkO}uN�8Ik�NQ8MPO}ZLQT_6IkORUXu�UdWsZkQ�_madcRcfadu�M»ZLQm± QmZhS\ORug�Ik�NQ8MPO}ZLQT_6IkORUXu�UdWsIkKgZLu�Ik�gQ�ugQmI¯®xU Zk°»®xU KgcRM»]NuNM�IL�gQ�ZkQT±XQTZLSkQ[®+a¬j»aX_mZkUJSkSTq

� � >C>[9��d1.< � 5�<=9 ¡C365�DsD��0�w¡V5� ��m1@7 1��Ã1@3m9 9�5� s5~�U�pgZkQ�MPOb_ªI8ILO}ltQ»SkQT§JKgQTuN_6Q�S'ORS@S\U l4QT®V�NazI8cROR°XQn®+adcR°JORug�:ORuFa:ZLadIk�gQTZ�®xQTc}c}¸ °$ugUz®Vu�cbaduNMP¸SL_madp`QXq�Ì[W ILQmu�®¢Qnlta¬j¹°JuNUz®¨®V�gQTZkQn®¢QnadZLQtaXuNMµ®V�gQmZLQ4IkU�� U�´$j A¯K�S¯I.cRU$UX°$ORug�:O}uµIk�NQ_6cRU SkQTS\IxQTu$±JORZLUXugltQmuJI�q « KPI�¶$SkUXltQmIkORl4Q�S�IL�gQ'_6cRU SkQTS\IxQmu$±$ORZkU ugltQmuJIrObSxuNUdIxQTugUXKN�X�»aXuNMn®¢Q�Na¬± QVIkU@c}U$UX°tadZLUXKNuNMtW¥UXZ¢MPObS¯IhaduJIxcbaduNMgltaXZk°PSTq�É/�NQmu»®¢QCcRU$UX°tO}u·Ik�gQ'_6cRU SkQCQmu$±$ORZkU ugltQmuJI®¢Q'SkUXltQmIkORl4Q�S+ILaX°XQ�a@W adKgc}I¯j�MgQT_6ObSkO}U uf¶P´gKPI[SkU$UXu�®xQ�lna¬j·ZLQT_mUX�XuNO}ÇTQ�atMPObS¯IhaduJICQmu$±$ORZkU uP¸ltQmuJILaXc`W¥QTazILKgZLQºIL�NazIVlnad° QTSxKNSV_h�NaXug�XQºUXKgZ+ltO}u�M�aXuNM»_h�NUJUJS\Q�a4ugQm®ÃMgO}ZLQT_6IkORUXufq�~+�gObS¢ORSQTa S\j ¶z´gKPI�O}W`®¢Q¢�Na¬±XQ¢ltORSkO}uJILQmZLpgZkQmIkQ�M@a�MPObS¯IhaduJI=cRaXuNMPlnadZL°�®xQ+lna¬j8� U�SkQm± QmZhadcJ°JORcRUXltQ6ILQmZhSORunIk�gQº®VZkU ug�8MPORZkQ�_ªILO}U ufq�{|u�a8S\Q�§JKgQmuJIkObadcàXSLS\UP_mORadIkOR±XQ+ugQ6I¯®¢UXZL°.O}I¢_mUXKgcbM²¶JZkQmW¥QmZLZkORug�'ILU8Ik�NQadu�adcRUX�XjnaX´�Uz± QX¶$´�Q�ZLQTa S\U uNadŃc}Q[IkUnaXSLS\KNl4QºIk��azIC®¢Qºlna¬j·KNSkQ�Ik�gQ�W¥QTQTM$W¥U Zk®+adZhM·pgZLORuN_6ORpgcRQW¥UXZsUXcbM8MgadILaN¶zOÄq QXq�lXMPObS\ILaduJIscRaXuNMPlnadZL°PSSlVaXuNM�IL�gQxZLQT_mKgZLZkQTu I�pgZkORuN_mO}pgcRQ�W¥U Z�ZLQT_mQmuJIsMNazILaN¶zOÄq QXqlX_mc}UJS\Q'QTuJ±$ORZkU ugltQmuJI�lNqr~+�gQ8uNQ6I¯®¢UXZL°·®VO}cRcfIL�gQmu�´`Q8ZLUX´gK�S¯ICORu:Ik�gQ�ZLQT_mKgZLZkQTu ICp�adZkIC®V�gQmZLQMgadILa4adZLQ[�gOR�X�gcRj·_6U ZkZLQmcbazILQTM·aXuNM»aXu»QTZkZLUXZxO}u�S¯ILO}l@Kgc}O²lna¬j·_TadKNSkQ[� ZkQ�azIxQTZkZLUXZhS�ORu�Ik�gQ'MPQ6¸_6ObMPQ�M:UXKPILpgKPITq¢É/�gQTu�Ik�gQ@S¯ILO}l@Kgc}ORUXKgIkpgKPIhSCltO}½�ObSCpgZLUXpNaX� adIkQTM»IkUtIL�gQ�W¥QTQTM$W¥U Zk®+adZhM�pNadZkIUdWiIk�gQ�ugQ6I¯®¢UXZL°4Ik�gQ�UXKgIkpgKPICMPQ�_6ObMPQTM»ORS¢ugU4cRUXug� QmZrpÙ SLSkO}´gcRQºIkUt_h�Nadug� QXqG~iU4ORuJ± QTS\IkOR� adIkQ[O}WIk�NQ'W¥QmQTMPW¥UXZL®¢aXZLM»pgZkORuN_mO}pgcRQ�ObS¢W¥QTaXSkOR´gc}Q'®VO}Ik��Ik�NQ « a¬j QTSkORaXu»cRQTaXZkugORug�4ZkKNc}Q'W¥U ZVpgZkQ�MPOb_ªIkORUXu�SUdWfSkQT§JKgQTuN_6Q�S�S\U ltQ+IkQTS\ILSr�NaXS�´�QTQmu·MPU ugQCUXu4W¥QTQTM$W¥U Zk®+adZhM@_mUXuguNQT_ªILQTMtugQmI¯®xU Zk°PSVÐ¥]N�XKgZLQ � ¶DfQmW IhÑ6q

Y[Ss_maXu.´`Q¢SkQmQTu�W¥ZLUXl�IkQ�S¯IhSsUXu.aCW¥QmQTMPW¥UXZL®¢aXZLM�uNQ6I¯®¢UXZL°4Ð¥]N�XKgZLQ � ¶ y OR�X�JIhÑfIk�gQ+_maXpNaX_mOÎ¯jObS�aX´�U KPI'�Nadc}WrUdW=IL�gQn_maXpNaX_mOÎ¯j�W¥UXZ�a·ZLQT_mKgZLZkQTu I�ugQ6I¯®¢UXZL°�Ð ]N� KgZkQ � Ñ6¶�®VOÎL�¹IL�gQ4SLadltQ4S\QmIUdW�MgazIhagqF~+�gObStORS4Qm½$p`QT_6IkQ�M�SkO}uN_mQ»IL�gQmZLQ�ORS4�NaXc^WºIk�gQ�u$Kgl.´`QmZtUdW�_6UXuNugQT_6IkORUXuNStadu�M¦Ik�NQS\IkORl.KgcRKNSVObS+ugUdIVugU ORSkjXq�YugQmI¯®xU Zk°nUXW�IL�gObS¢I¯jJp`Q��Na S¢IkUtlnad°XQ�_mUXZLZkQ�_ªIVMPQT_mORSkO}U uNSVazIVQ�aX_h�IkORltQTS\IkQTpf¶$UdIk�NQmZL®VORSkQVIk�NQ[W aXKgcÎ¯j4pNadI\IkQTZku�Sr®VORc}c`´`QºpgZLUXp�ad� adIkQ�M4aXuNMn´`QCIL�gQ[Ńa S\ObSrW¥UXZruNQm®MPQ�_6ObS\ORUXuNSTqGYCu�adI\ILQmltpPI¢IkU@MgQT_6ZLQTa S\QCIk�gQ�u$Kgl.´`QmZ¢UdWf®¢QmOR�X�JILSr®VOÎL�gUXKgI¢cRU$U SkO}ug�8IkU$U.l@KN_h�_maXpNaX_mOÎ¯j»UXZVIL�gQ8cRQ6W I\¸�ZLO}� � I[_mUXuJIkQm½$ICpgZkORuN_mO}pgcRQ�ObS+IkU·K�S\Q�ZLQT_mKgZkZLQmu�_6jnW¥U ZVZkQ�_6QmuJI[MgadILanaXuNMW¥QmQ�M$W¥UXZL®+adZhM¹_6U ugugQ�_ªIkOR±$OÎ¯jwW¥UXZ�UXcbMµMgazIha�a S�]N�XKNZkQ Ò ��Sk�gUz®CSmqt~+�gQ·_TadpNa _6O}I¯j�ORS8SkcRO}� � ILc}jcRQTSLS�Ik�NaXu!W¥U Z�Ik�gQtW¥KgcRcRj¹ZLQT_6KNZkZLQmuJI'ugQ6I�q·~+�gQtZkQ�aXSkUXuwW¥U Z'Ik�gQ·_TadpNa _6O}I¯j:IkU�´`Q4Ik�NadI8�gO}� ��gQTZkQnlna¬jµ´�Q·Qm½PpgcRaXO}uNQTM�®V�gQTu¦UXugQ»_mUXuNSkObMPQmZhS'�gUz® adKPILUP_6UXZLZLQmcbazIkORUXu¹W¥KguN_6IkORUXuNS@KNSkKNadcRc}j´`Qm�Na¬± QxaXS�aVW¥Kgu�_ªIkORUXu@UdWgILO}ltQ+MPO}È`QTZkQTuN_6Q qsH$ORuN_6Q¢ltU S\IsSkQT§JKgQTuN_6Q�SipgZLUX´�ad´gcRjº��a¬±XQra[ZLadIk�gQTZSk�gUXZkIC_6UXuJILQ6½$IVc}QTug�dIL�f¶PIk�NQºW¥QTQTM$W¥U Zk®+adZhM�®xQTO}� � IhS+adZLQ�U ugcRj·ugQmQ�MPQTM»IkUnZLQTSkUXcR±XQFA¯KNS\I[a@W¥Qm®adl@´gOR�XKgO}IkORQTSTq

Ò @

D

D

D

D

D

0 10 20 300

20

40

60

80

100

6x14 units6x21 units6x42 units

Feedforward Network

# Sequences, L=12

% C

orre

ct S

eque

nces

,�-/.�0'132��6 � X2MV J �mY oJ32LG<="R�1NAOB�?�2MJQDSR�13TsDF-^J39gV 2M2ya'V R�1>DWA`1NajJ32MG<="R�1NA�B�]LR�?�?�2L]mJ3-@R�?�;LY � ts-/.�9�J �mYtb2L;>0�B^J3;WV 13R�G ]LR�G<=�B@2mJ3-@R�?_J32L;EJ3;FR�?_A8V 2M2ya'V R�1>DWA`1Na5J32LG<="R�1NAOB?�2MJQDSR�13T"Y

D

D

D

D

D

0 10 20 30 40 50 6020

40

60

80

100

6x14 units6x21 units6x42 units

Recurrent+Feedforward

# Sequences, L=12

% C

orre

ct S

eque

nces

,�-/.�0'132w4��6 � X2MV J �m6 J32LG<="R�1NAOB"?�2MJ+D:R�13TvDF9�2M132d132L]M2L?�JWJ3-@G<2M;EJ32L=�;WA`132d132L]L0'1>132L?�JFA�?�azR�B@a�2M1J3-/G<2L;EJ32L=�;jAO132wV 2L2ya'V R�1>D:AO1Na R�?�BÎ�Y � ts-/.�9�J �m6 V 2MD�132L;>0�B^J3;jR�i'JNA�-/?�2yaUDF-^J39nJ39�2w]LR�G8i�-/?�2ya?�2mJQD:RO13T"YC7:9�2L;>2g132L;>0�B/J3;bA`132gR�?�BÎH;>B/-@.�9�J3B/IzD:RO13;>2gJ39�A�?zV RO1bJ39�2pV 0�B@BÎz132L]L0'1>132L?�JF?�2MJ+D:R�13T"Y

Ò �

� � 1.5�<=Ds> DGÂ� 5� ��6147 1�� 1@369 9�5� G5{�Wº®¢Q�_6U uNS\ObMPQTZ.IL�gQ�_6UXu�S\Q�§ KNQmuN_mQTS4UdW�´�QTO}ug�¦aX´gc}Q�IkU�lnadu�ad�XQ�±XQTZkj¦cRUXug��SkQT§JKgQmu�_6QTS4ORuIkQTltp�U ZLaXcùNQmKgZhadc�ugQmI¯®xU Zk°PS¢®xQ�®VORc}c²pgZLUX´�ad´gcRj·_6U l4QºIkU4IL�gQ�_6UXu�_6cRKNS\ORUXu»Ik�NadIVOÎVObS+ZLadIk�gQTZKgugZLQTaXc}ObS\IkOb_tIkUw��a¬±XQ·a�IkQTltp�U ZLaXcrZLQTSkUXcRKPIkORUXuµIk��azI@ObS8cRORugQTaXZ8®VOÎL�¦IkORltQXq�ÉµQ»®¢UXKgcbMµ�XQmI±XQTZkjÊcbadZL�XQ¹_mUXugugQ�_ªILO}U ulnazIkZLOb_6QTS�Qm± Qmu®V�NQmuKNSkORug�FIL�gQµSkj$ltl4QmIkZLj/aduNMW¥QmQTMPW¥UXZL®¢aXZLMpgZLO}u�_6ORpgc}Q�S�O}u$±XQ�S¯ILO}�JazILQTMwaX´�Uz± QXq �wadu$j�UXW�Ik�gQ4®¢QmOR�X�JILS�®¢UXKgcbM�´`Q4KNuJK�S\Q�M¹MPKgQ@IkU:SkltaXc}c_6U ZkZLQmcbazILO}U uNSV´`Q6I¯®¢QmQTu¹MgazIhan®VO}Ik�¹cbadZL�XQ8IkORl4Q4MPO}È`QTZkQTuN_6Q�Smq�Y[S�aduwQm½PaXltpgc}Q.®xQ4_madu¹c}U$UX°azI@Ik�gQ»W¥UXcRc}Uz®VORug�wQm½PpgZkQ�SkSkORUXu�lzIL�gQ»_6U ZkZLQmcbazILO}U u�ORS@c}Uz®ylNq�{�WC®xQ�_6U uNS\ObMPQTZ�Ik�gQ�IkQTltp�U ZLaXc_6U ugugQ�_ªIkORUXu�S[´`Q6I¯®¢QmQTu*lzIL�gQ�l�aduNM_ldcRUz®ylnOÎ�Sk�gUXKgcbMw´`Qt§ KNOÎLQ4_mc}Q�adZCIL�NazI�Ik�NQ@Qm½Pa _ªI�IkORltQ®V�gQTuCldIk�gQ�l�U$_T_6KgZLZLQTM4_6UXltpNaXZkQ�M.®VO}Ik��lXc}Uz®ylºObS=c}Q�SkSGORltp�U Z\IhaduJIr_6U ltpNadZLQTM.®VOÎL��lzI�l'aXuNMldQ�l·ORu*ldIk�gQ�lgq�É/�gQmu!c}U$UX°$ORug��adI�p`QmZh_6QTpPIkORUXu¹O}u!´gO}U c}U �XOb_maXc�Skj$S\IkQTlnSº®¢Q.°$ugUz®�IL�NazI�Ik�NQIk�NZkQ�S\�gU cRMnW¥UXZVa.MPO}È�QmZLQmuN_mQºORu�SkQmuNSLazILO}U unZkQTcRadIkQ�S�ILU.IL�gQ�_h��adug� Q[ORu�S\IkORl.KgcRKNS+aXS�Ð¥ÉµQm´`QmZ � Scba¬®[ÑwÐ#��aXuNMPQTc Ò�� " Ñ��°K> o H J H�¶¢OÄq QXq�IL�gQ¹IL�gZLQTSk�gUXcbM W¥UXZ�Q6½Pp`QmZLO}QTuN_6Q!UdW.a#_h�Nadug� Q¹ORuS\IkORl.KgcRKNSnObSnpgZLUXpÙXZkIkORUXuNaXc+IkU�IL�gQwS\ORÇmQ�UXWºIL�gQ¹S\IkORl.KgcRKNSTq{|u Ik�NORSn®+a¬jFU KgZ·S\QTuNSLazIkORUXu�SadZLQ»pNZkU p�U Z\ILO}U uNadcxIkU!Ik�gQ:cRUX�JadZLOÎL�gl UdWCIL�gQ:ltaX�XugO}IkK�MPQ�UXWCIk�NQ:aXŃSkUXcRKPIkQ:S¯ILO}l@KgcRKNSmq#Y�$j$p�UXIk�gQ�S\ObSVad´ÙXKPIVILQmltpÙXZhadc²ZLQTSkUXcRKPIkORUXu�_6UXKNcRM�Ik�NQmu:´�Q8S\ILadIkQ�M»ORu�Ik�gQ8SLadltQ'®¢a¬j

� � � v�� `> B�� Ð Ò @ Ñ®V�gOb_h�:®xU KgcRM:� O}± Q�atZkQ�S\U c}KPILO}U u�Ik�NadI[ORS[atc}U � adZLO}Ik�gltOb_[W¥KNuN_ªILO}U u�UdWGIkORltQ.MPObS¯IhaduN_mQXq+ÌºuNQ®+a¬j#UXW8O}ltpgcRQmltQmuJILO}ug�ÊaFcRUX�JadZLOÎL�gltOR_6¸ cRO}° Q�ZkQ�S\U c}KgIkORUXu/ORu aFuNQ6I¯®¢UXZL°�cRO}° QwIk�NQ!U ugQw®¢Q�Na¬± QTMPQ�Sk_mZkOR´�Q�M»�NQmZLQX¶N®¢UXKNcRM�´`Q�IkU»SkKgl�Ik�gQ.�gORS\IkU Zkj�Uz±XQTZCanu$Kgl.´`QmZCUXWGIkORl4Q@S¯ILQmpNSCIk�NadI�XZLUz®CS@Q6½Pp�U ugQmuJILORaXc}cRj¦®VOÎL�ÊIk�gQ�lXSkKg´�A¯Q�_ªILO}± Q�l¹IkORl4Q�MPObS\ILadu�_6QXq ÅsO}� KgZLQ Ò Ò Sk�gUz®CStSkUXltQQ6½gaXl4pNc}Q�S²UdW$Ik�NORSsS\KNl4lnadIkORUXu�UdWP�gObS\IkUXZLjCIL�NazI�®xQ�®VORcRcXugUz®µZkQmW¥QmZiIkU[a Sf_6UJadZhS\Q=SkKgltltadIkORUXufq

++ + + +

2 11 17

1 2 4 8 16 32 64 128

83 51 2 26

256

1 3 422 21 1 4 1.2 t

1.5t

2.0 t

"subjective t"1 2 43 50 6 7 8

+ + +

,�-/.�0'132b4�4�6�7:9�2)=�13-/?�]M-@=�B/2CV R�1�]MR�AO13;>2C;>0�G<GfA`J3-/R�?pROV�='13R�=�A�.�A`J32yag;EJ3-/Gw0�B/-�OR�0�J3=�0�J3;"J3RFR�i�JNAO-/?AsB/R�.�AO13-^J39�G<-@]mh+B/-/T�2SJ3-/G<2)132L;>R�B/0'J3-@R�?�YC7:9�2:?�0�Gwi"2m1�ROV�;>0�G(;EJ32L=�; -/;)AO?82M\'="R�?�2L?�J3-@A�B�V 0�?�]MJ3-/R�?R�V�J39�2gZ�;>0�i(�Q2L]MJ3-/c�2LZvJ3-/G<2 �'9�2M132dDF-^J395i�AO;>2L;j4�Y �%��4�Y �vA�?�a ��Y ��Y

{|unadu4O}ltpgcRQmltQTu IhazILO}U u4UXW�aºILQmltp�U ZLaXcPugQ6I¯®¢UXZL°'Ik��azI�KNSkQTS�_mU aXZLSkQ¢SkKgltlnazILO}U u@O}I�ORS�ugQT_mQTS\¸SLadZLjVIkU[_h�NUJUJS\QsIL�gQ�Ńa S\QGW¥U Z²Ik�gQrQ6½Pp�U ugQmuJILORaXcdW¥KguN_6IkORUXu�ORu8aX_T_6UXZhMgaXuN_6Qs®VOÎL��Ik�NQrS¯IhazILORS\IkOb_maXcpgZLUXp`QmZkIkORQTSVUXW�IL�gQ.MgadILaNqx~�U·S\QTQ�O^WGIk�NQ8�$jJpÙdIL�gQTSkObSCad´ÙXKPIºc}U � adZLO}Ik�gltOb_ºZLQTSkUXcRKPILO}U u�_mUXKgcbM´`Q�ZLQTa S\U uNadŃc}Q[aXu$jJ®+a¬jX¶$SkUXltQCILQTS\ILS+®¢QmZLQ[ZLKgu»U u�a@ugQ6I¯®¢UXZL°n_6UXug]N�XKgZLQTM»aXS¢O}u»]N�XKNZkQ Ò @g¶®VO}Ik�f@4aXSVa4ŃaXSkQ�W¥UXZ+IL�gQ�Q6½PpÙXugQTu ILORaXciSkKgltltadIkORUXufq

Ò !

D

D

D

D

D

D

D

D

D

0 10 20 30 40 50 600

20

40

60

80

100


Full Matrix+Coarse Sum

# Sequences, L=12%

Cor

rect

Seq

uenc

es,�-/.�0'132s4��6 � X2MV J ��oJ32LG<="R�1NAOB�?�2mJQD:RO13TdJ39�A`J�AO]m9�-/2Lc�2L; AWB/R�.�AO13-^J39�G<-/]Mh B/-/T�2)132L;>R�B/0�J3-/R�?8c�2m13;>0�;A�.�2dROV�a�AOJNA�YC7:9�2bc�A`1>I�-/?�.p132L;>R�B/0�J3-/R�?z-/;WAO]m9�-/2Lc�2yavi�I8]LR�A`13;>2d;>0�G<GfA`J3-/R�?<R�VR�Bkafa�AOJNA'YC7:9�2]LR�AO13;>2F;>0�G<G<2yaja�AOJNAd-/; V 2L2La8V RO1>DWAO1NawDS2L-/.�9�J32yaw-/?�J3RpAbV 0�B/B^I 132L]L0�1>132M?�J)?�2MJ J39�A`J);>=�AO?�;)R`c�2M1AsV 2MD�J3-@G<2M;EJ32L=�;LY � tb-/.�9�J ��tb2L;>0�B^J3;�V 13R�G�;>R�G<2SJ32L;EJ3; DF-^J39w1NAO?�a�R�G ;>2��0�2L?�]L2L; R�?v;>R�G<2:?�2MJ3;DF-^J395]LR�AO13;>2j;>0�G<GfA`J3-@R�?�Y

10 2020

40

60

80

100

(a)(b)(c)(d)

Capacity degradation for different coarse summations

# Sequences, L=12

% C

orre

ct S

eque

nces

,�-/.�0'132 4��'6o7:9�-/;za�-@AO.�1NA�G ;>9�R`DF;z9�RyD J39�2_]yA�=�A�]L-^JQI a�2M.�1NA�a'2L;<DF9�2L? a�- � 2M132L?�J<JQI'="25ROV]LR�AO13;>2z;>0�G<GfAOJ3-/R�?n-/; 0�;>2ya Y57:9�2<]yA�=�A�]L-^JQInV RO1w="2M1>V 2L]MJ 132L]yAOB@Bl-/; �)-@?nJ39�-/;gJ32L;EJ��J39�2<;3AOG<2V RO1FA�B/B �'i�0'JlJ39�2MIv;>9�R`D a�- � 2M132L?�J:a�2L.O1NA�a�A`J3-/R�?fDF9�2L?<J39�-/;lGfAO\'-/Gw0�G ]yA�=�A�]L-^JQIf-/;l2M\']L2L2ya'2yaY� A �m6��d?�-/JbR�?5-^VSAO?�I_-/?�=�0�JF-/;dR�? ��- Y 2�Y:B@-/T�2 AvB/R�.�-/]yA�B �dtFh V 0�?�]MJ3-/R�?Y � i �m6 bc�2M1NA�.�2 ��- Y 2�Y:J39�2;>0�G 9�AO;di"2L2M?na'-/c'-@a'2ya_DF-^J39UJ39�28?�0�Gwi"2M1bR�Vl]LR�AO13;>2w;>0�G<G<2ya_0�?�-^J3;LY � ]��m6� 0�?�-^Jd-@;sR�?U-^VG<R�;EJSR�VJ39�2b0�?�-/J3;:AO132dR�? ��- Y 2�YCA�?HAyc�2M1NAO.�2sDF-^J39HAjJ39'132L;>9�R�B@aY � a �m6)7:9�2s;>0�G<GfAOJ3-/R�?<0�?�-^J�� ;R�0'J3=�0'JFc�AOB@0�2p-/; �E0�;EJFJ39�2g;>0�G ROV)-/J3;F-/?�=�0�J3;LY

Ò "

D

D

D

D

D

D

D

D

D

0 10 20 30 40 50 600

20

40

60

80

100


Reduced Matrix+Coarse Sum

# Sequences, L=12

% C

orre

ct S

eque

nces

,�-/.�0'132 4 ��6 � X2MV J � J32LG<="R�1NAOBF?�2MJ+D:R�13T DF-^J39 B/R�.�AO13-^J39�G<-/]Mh B/-/T�25J3-/G<2H132L;>R�B/0�J3-/R�? DF9�2M132J39�2 ]LR�AO13;>2v;>0�G<G<2ya_;EJ3-/Gw0�B@-�-@;dR�?�BÎ5V 2L2ya�V R�1>D:AO1NaUD:2L-/.�9�J32yaU-/?�J3RfJ39�2 132M]L0�1>132L?�Jd=�AO1>JdR�V:A?�2mJQD:RO13T DF-^J39w132La�0�]M2yaw]LR�?�?�2M]MJ3-/c'-^J+I�Y � tb-@.�9�J � tb2L;>0�B/J3; Vk13R�G J32L;EJ3; DF-^J39<]LR�A`13;>2b;>0�G<GfAOJ3-/R�?A�?�az132ya'0�]L2LaH]LR�?�?�2M]MJ3-/c'-^J+I�Y

Y§ KNQTS\IkORUXunIL�NazIVadZLORSkQTSxObSr�gUz® IL�gQ'S¯ILO}l@Kgc}O²��aXSrIkU.´`Q'S\KgltltQTM·IkU4�XOR±XQ[Ik�gQ�´�Q�S¯I+p`QmZkW¥UXZk¸lnaduN_mQXqG{�Wf®¢Q[aXSLS\KNl4Q[Ik�NadIrIL�gQº_mU adZhSkQCS\KgltltQTM·ugQ6I¯®¢UXZL°.®¢UXZL°PSraX_T_6U ZLMPORug�'ILU�Ik�gQ'SLadltQpgZLO}u�_6ORpgc}Q�S@a S�IL�gQ»W¥QTQTM$W¥U Zk®+adZhMµugQ6I¯®¢UXZL°�MPQTSL_6ZLO}´`QTM�ad´Ùz±XQX¶sIL�gQmu¦IL�gQ�´�Q�S¯ItS\KgltlnazILO}U upgZLO}u�_6ORpgc}Qn®¢UXKNcRMµpgZLUXŃaX´gcRj¹´`Q·UXugQn®¢QmZLQ4Ik�gQ»ugQm® ®¢QmOR�X�JI�±¬aXc}KNQTS8lnadIL_h�µIk�gQ»±¬aXc}KNQTS�ORuIk�NQtW¥QmQTMPW¥UXZL®¢aXZLM¹ugQ6I¯®¢UXZL°waXS�l.K�_h�µa S'p�UJSkSkO}Ńc}Q qt~�U�aX_h�gORQm± Q.IL�gObSm¶iIk�gQnU KPIkpgKgI�W¥ZLUXlBa_6UJadZhS\QtSkKgltltadIkORUXuµKgugO}I._6U KgcRM!´`Q,A¯KNS¯I.a:SkO}ltpgcRQnS\KNl�UdW¢OÎhS'O}uNpgKPILSTq·Y S\IkZhadug� Q.IL�gO}uN�®VO}Ik�FIL�gObS@ltQmIk�gUPM#ORS.Ik�NadI@IL�gQ�UXKPILpgKPILS4UXWCIk�gQ:SkKgltltadIkORUXu#KgugO}ILS4®xU KgcbM¦Q6½g_6QTQTM¦U ugQXq~+�gQVU KPIkpgKgI�W¥ZkU l a'KguNOÎrORutIk�NQ « a¬j QTSkORaXu@uNQ6I¯®¢UXZL°8ltU$MgQmcPIL�NazIrObS=KNSkQTM4�gQTZkQVZLQ`{�QT_ªIhSGIk�NQpgZLUXŃaX´gORc}O}I¯jnW¥UXZ+IL�gObSVKgugO}ICIkUt´`Q.aX_6IkOR±XQ q=É!Q�lna¬j·�gUz®¢Qm± QmZ�¶PS\QTQºIL�gQTSkQ8SkKgltltadIkORUXu:KgugO}ILSaXS8�gQmcRpFKgugO}ILS8Ik�NadI@lnad° QTS�K�S._6U c}cRQT_6ILS8S\ILadIkObS¯ILOR_TS�W¥U Z@SkQm±XQTZLaXc=KgugO}ILS4azI8IL�gQ»SLadltQnILO}ltQXqy Q�S\Kgc}ILSVW¥ZkU l�a@IkQ�S¯ICZLKgu:®VOÎL�wS\U ltQ'MgO^È�QmZLQmuJIVI¯j$p�Q�SVUdW=_6UJadZhS\Q'SkKgltltadIkORUXu:ObSCS\�NUz®Vu�ORu]N� KgZkQ Ò �gq�~+�gObS�ILQTS\I@ORuNMPOb_mazILQTS8Ik�NadI8Ik�gQ»´�Q�S¯I@I¯jJp`Q·UXWVSkKgltlnazILO}U u�IkUwKNSkQ·ObS8QTOÎL�gQmZ4aSkO}ltpgcRQ@Ì y ¸ W¥KguN_ªILO}U u�U ZCatS\ORltpgc}Q8SkKgl:q

vxUXltpgcRQ6ILO}U u�IkQTS\ILSCUXu�ugQmI¯®xU Zk°PS+®VO}Ik�w_6UJadZhS\Q'SkKgltltadIkORUXu�UXWsU cRM:MgadILanSk�gUz®xQ�M:§ KNOÎLQ�XU$UPM�ZkQ�S\KNcÎhSC®V�gQTu:Ik�gQ4S\KglnS[®V�gQmZLQ8_6U KgpgcRQTM�IkU�atW¥KgcRc}j�_6U ugugQ�_ªIkQ�M:ugQ6I¯®¢UXZL°�¶P]N� KgZkQ Ò @Ð y O}� � IªÑªq»vxUXZLZLQTSkp�U uNMPORug�·ILQTS\ILS'UXu!ugQ6I¯®¢UXZL°�®V�gQTZkQ4Ik�NQ4ZLQT_mKgZLZkQTu I�pNadZkI��NaXMµa�ZkQ�MPKN_6Q�MlnazILZkO}½�Sk�gUz®�¶gaXSV_Tadu�´�Q8SkQmQTu�ORu�]N�XKgZLQ Ò !�¶PQm±XQTu�atSkc}OR�X�JILc}j·´`Q6IkIkQTZCZkQ�S\KNcÎ�q

¾�� >j~»Â:>[7:¡V> ¡V58Ï:5�¡y�h �� d1@<29f�y}�>C<=>[74 25�<=¡G��h G>C¡¢ GÂ:<=>[D~+�gQ�� U adcV®VO}Ik�ÊIL�gORS»®xU Zk°¦®+aXSnIkUµ]NuNM/a�KNSkQ6W¥KNcCltU$MgQmcVW¥U ZnIkQTl4pÙXZhadcCa SkSkUP_6ObazILO}U u#ORu« a¬jXQ�S\Obadu�ugQ6I¯®¢UXZL°PS+IkU»´�Q8K�S\Q�M:O}u¹SkORl.KgcbazILO}U u:S\IkK�MPO}Q�SCUXW=IkQmltpÙXZhadcfpN�gQmugU ltQmuNaNq+~+�$KNSO}I.ORS.O}ltpÙXZkILaXu I.IkU¹_mUXuNSkORMgQmZ�IL�gQ·ltUPMPQmc¢_h�NadZhaX_6IkQmZLObS¯ILOR_TS�S\KN_h�¦a Sm¶G_maXpNaX_mOÎ¯j!±XQmZhSkKNS'Ik�NQu$Kgl.´`QmZVUXWsKNugOÎhSCadu�M»u$Kgl@´�QTZCUdWs®xQTO}� � IhSmq

~�U@lnad° QºpÙ SLSkO}´gcRQ�S\K�_h��a4_6U l4p�adZLORSkUXu»aXc}c�ILQTS\ILS+�Na¬± Qº´`QmQTu�ZLKgu�®VOÎL�»IL�gQ8SLadltQºZhadug¸MPU l�IkZhadORugO}uN��aXuNM8ILQTS\IGSkQT§JKgQTuN_6Q�SsUdW`_h��adZhaX_ªILQmZhSf®VO}Ik�4KgugOb§JKgQ+KgugO}I=_mUPMPO}uN�ºUXW�_h�NadZhaX_6IkQTZLSTq�ra _h��SkQT§JKgQTuN_6Q.O}u�Ik�NQ�IkQ�S¯I[��aXM�Ik�NQ8c}QTug�dIL� Ò @Pq¢~+�gQ8u$Kgl@´�QTZCUdW=ugQTKgZkU uNadcip�U pgKgcbazIkORUXu�S®¢QmZLQ & ¶¬O q Q qiIL�gQrlnadu�ad�XQ�ad´gcRQ�_6U uJIkQ6½$Isc}QTug�dIL�8®xU KgcbM'´�Q "P¶¬Q6½g_mQmpPI�W¥UXZfIL�gQ+_6U aXZLSkQ�SkKgltl4Q�MugQmI¯®xU Zk°tIL�NazI[_mUXKgcbM»pÙ SLSkO}´gcRj»lnaXuNad� Q�at_6U uJIkQ6½$IVcRQmug�XIk�:UdW � q

Y[S�IL�gQx´�aXSkOR_rpgZkORuN_mO}pgcRQxW¥UXZ�IkQmltpÙXZhadcPaXSLSkU$_mORadIkORUXu�ORu$±XQTS\IkOR� adIkQ�M��gQmZLQrObS�IkUºKNS\Q+MPQTcRa¬j QTMORugpgKPIhSnW¥UXZ·_mUXu$±XQTZLSkORUXu�UXWºILQmltpÙXZhadcCORuPW¥UXZLlnazILO}U u#ILUFS\p�azIkObadc ¶xIk�gQTZkQ�lna¬jF´`Q¹MPO}È`QTZkQTuJIp`QmZkW¥UXZLltaXuN_6Q�S�Q6½Pp�Q�_ªILQTM�MPQmp`Qmu�MPO}uN��UXuµ�gUz®¤IL�gQnS\pNadIkObadc=lnazILZkO}½¹ObS�_6U ugugQT_6IkQ�MµMgKgQ4IkUN¶W¥UXZVORuNS\ILaXuN_6Q ¶$IkORl4Q.O}u$±zadZLORaXuN_6Q�Q6È�QT_6ILSTq

Ò-&

~+�gQ4u$Kgl.´`QmZ�UdWrKNugOÎhS'O}u¹Ik�gQ�S\Q4ltUPMPQmcbS��Na¬±XQ@´�QTQmu¹° QmpPI�Ik�NQtSLadltQ q'Y lXKgugO}I�l��gQmZLQMPQ�S\OR�XuNadIkQ�SºQT±XQTZkjJIk�NO}ug��®V�gOb_h�¹�Na S'OÎhS'UXKPILpgKPIhS�_6UXuNugQT_6IkQTMwIkU:UdIL�gQmZ'KguNOÎhS�±$ORa�®xQTO}� �JILSTqH$U l4Q¢UdW�Ik�gQ�S\Q+KguNOÎhS=adZLQX¶¬W¥UXZsIL�gQ¢W¥QmQTM.W¥UXZL®+adZhM�ugQ6IhSm¶<A¯KNS¯I=KNSkQTM4aXSsORugpgKPI=KguNOÎhSm¶ UXZsW¥UXZsIk�NQ_6UJadZhS\QºS\KgltltQTM»ugQ6I¯®¢UXZL°PSra S¢S\IkORl.KNc}KNS+SkKgltlnazIkORUXu»KgugO}ILSTq ~�U@±zaXZkj4Ik�NQºu$Kgl@´�QTZ¢UXWiKgugO}ILSORuFa�ugQ6I¯®¢UXZL°¹ltUPMPQTcÄ¶sIk�NQ·®VORMPIk�FUXW+Q�aX_h��pNadI\IkQTZkuFaXuNMµIk�NQ»ZLQmp`QmZkIkUXORZLQ4UXWVIk�gQ»ZLaXuNMPUXlSkQT§JKgQmu�_6QTS+®¢QmZLQ�±¬aXZkORQTMfq

ÅsO}� KgZLQ Ò "!Sk�gUz®CS@Ik�NQw_madp�aX_6O}I¯j¦pgcRUdIkIkQTM a S@u$Kgl@´�QTZnUdW�S\Q�§JKgQmuN_mQTS4±XQTZLSkKNS4u$Kgl.´`QmZUdW+KgugO}ILS8W¥UXZ�IL�gQ»MPO}È�QmZLQmuJI8ltU$MgQmcbS�O}u$± QTS\IkOR� azILQTM!O}u�IL�gObS8®¢UXZL°`qn{�I4S\�gU KgcbM!´`Q·U ŃS\QTZk± QTMIk��azIGIk�gQ¢IL�gQmU ZkQmIkOb_madcP_TadpNa _6O}I¯j�ORSsŃa S\Q�M.U u.Q6½Pp`QmZLO}QTuN_6Q�S�W¥ZkU l¨S¯IhazILOR_¢_6U u ILQmuJI�aXMgMgZkQ�SkSLad´gcRQltQmltUXZLORQTS.Ð�v¢Y �¹Ñ6q�{�I�lna¬j�´`Q@a�S\KgZLpgZLORSkQ'Ik��azI[IL�gQ8IL�gQmU ZkQmIkOb_maXc�_maXpNaX_mOÎ¯j�ORSºcRUz®xQTZVIk�NaXultU S\IVUdWsIk�gQ�_maXpNaX_mOÎLO}Q�S+ltQTaXSkKgZLQTM²q=~+�gQTZkQ'ObSm¶P�NUz®xQT±XQmZ�¶$ugUdIL�gORug�nS¯ILZLaXug�XQ�O}u�IL�gORSTq=É/�NadIZLQTadcRcRj�ltadI\ILQmZhSºObS�Ik��azI8®¢Q@�Na¬± Q.IL�gQnSkaXltQ4pNZkU p�U Z\ILO}U uNadcROÎ¯j q.~+�gQ4Ik�NQmUXZLQ6ILOR_Tadc=_maXpNaX_mOÎ¯jObSrŃa S\Q�MnUXu»QmltpgORZkOb_maXc�ZLQTSkKgc}ILSrW¥UXZ¢O}uNMgQmp`QmuNMPQTuJI¢pNadI\ILQmZLuNSr®VO}Ik��a.SkpNadZhSkQ[aX_6IkOR±JO}I¯jtZLadIkQºUdWad´ÙXKgI Ò IkQTltp�U ZLaXc²Q6½gadltpgcRQTS+®¢Q��Na¬±XQ'´ÙdIL�:MgQmp`QmuNMPQTuN_6ORQTS[´�QmI¯®xQTQmu�Ik�NQ�pNazIkIkQmZLuNSCaXuNM�a±zadZLj$O}ug�4ZhazIkQ'UXWGa _ªIkOR±$OÎ¯j q

0 100 200 3000

10

20

30

40

(a)(b)(c)(d)(e)(f)

Capacity for different connectivity models

Units

Sequ

ence

s, l=

12

,�-/.�0'132z4��6se:A�=�A�]L-^J+IPc�2M13;>0�;s?�0�G8i"2M1bR�VC0�?�-^J3;bV R�1p;>R�G<2 J32MG<="R�1NA�B�?�2MJ+D:RO13T_G<R�a�2MB@;bDF-^J39a�- � 2M132M?�JF]MR�?�?�2L]MJ3-/c�-^JQIf=�13-/?�]L-/=�B/2L;LY�� A �m6C,�0�B/B/Iz]LR�?�?�2L]MJ32yaf132L]L0�1>132M?�J:?�2MJ+D:R�13T"Y � i �m6)ts2L]M0�1>h132L?�JF?�2mJQD:RO13T<DF-/J39H132ya�0�]L2yaH]MR�?�?�2L]MJ3-/c�-^JQIHa�0�2dJ3Rw;EI'G<G<2MJ>1>I�Y � ]��m6)rd2MJ+D:RO13TfDF-^J39_V 2L2ya�V R�1>hDWA`1NaUJ32MG<="R�1NA�B�-@?'V RO13GfAOJ3-/R�? R�?�B/I�Y�� a �m6dq_-^\�2LaP132M]L0�1>132L?�J �V 0�B/BÎP]LR�?�?�2M]MJ32yaPDF-/J39 ]LR�AO13;>2V 2M2ya'V R�1>DWA`1Na5;>0�G<GfA`J3-@R�? � 2��m6lq_-^\'2yaH132M]L0�1>132L?�J��132ya'0�]L2yaz]LR�?�?�2L]mJ3-@c�-^JQI ��DF-^J395]LR�AO13;>2gV 2M2ya'hV RO1>DWA`1Na5;>0�G<GfAOJ3-/R�? � V �m6l7:9�2LR�132MJ3-/]yAOB�]yAO=�AO]L-^JQI�YCi�AO;>2yaHR�?5;EJNAOJ3-/] e pq 132L;>0�B^J3;LY

¾.¾ � >j~»Â:>[7:¡V> ¡V58Ï:5�¡y�h �� @>[<=DsÂ:D 7·Â� �!>[< 1�� >��6Á�4 sD{|uµIk�gQnpNZkQT±JORUXK�S'pgc}UXI8O}uµ]N� KgZLQ Ò "�®xQtcRUJU °XQ�M!adI�_TadpNa _6O}I¯jw±XQTZLSkKNS�u$Kgl.´`QmZ.UdW+KgugO}ILS�ORuQTa _h�FUdW[Ik�gQ�IkQ�S¯ILQTM�ugQ6I¯®¢UXZL°!ltUPMPQTcRST¶r´gKgIT¶�®V�NadI4ZLQTaXc}cRj�lnad°XQ�S8IL�gQ�_6UJS¯I�¶�azItc}Q�aXS\IT¶�ORuadZkIkO}]�_mORaXc²ugQmKgZhadc²uNQ6I¯®¢UXZL°$ST¶$ORS¢IL�gQ�u$Kgl.´`QmZ[UdW�®¢QmOR�X�JIhSmq=~�U·_h�gQT_h°n®V�gOb_h�:ltU$MgQmcfKNSkQTS+O}ILS®¢QmOR�X�JILSGORu4Ik�gQVltU S\I=Q6¼·_6ORQmuJI�lnaduNugQmZGIL�gQCSkaXltQ+MNazILa'a S=ad´Ùz±XQ+ORSGK�S\Q�M²¶X´gKgI�O}uNS\IkQ�aXM@Ik�NQu$Kgl.´`QmZ�UdW�ZLQT_TadcRc}Q�M:O}ugW¥UXZLltadIkORUXuwŃOÎhS[± QmZhS\KNSCIk�gQ4u$Kgl.´`QmZºUdWr®¢QmOR�X�JIhSVW¥UXZ[Ik�gQtMPO}È`QTZkQTuJIltUPMPQmcbS=ObSGO}u$±XQ�S¯ILO}�JazILQTM²qs~+�gQVO}ugW¥UXZLltadIkORUXut_6U u ILQmuJI�UdW²a�ZkQ�_maXc}cRQTM4S\Q�§JKgQmuN_mQ+ORS�MgQTSkO}� uNazILQTMaXSCIk�gQ@ZLadIkORU·´`Q6I¯®¢QmQmuwIk�gQ@uJKNl.´`QmZ�UdW�pÙ SLS\OR´gcRQ�W¥KgcRcscRQmuN�dIk�wSkQT§JKgQTuN_6Q�S[aXuNM:Ik�NQ.u$Kgl.´`QmZUdW=pÙ SLS\OR´gcRQ8S\Q�§JKgQmuN_mQTS¢IL�NazIºaXZkQ�K�S\Q�M�a SVORugpgKPIºW¥UXZCZLQT_TadcRcÄqr~+�NQ8u$Kgl.´`QmZCUXW=O}uPW¥U ZklnadIkORUXu´gO}ILS[O}uwatZLQT_TadcRc}Q�M�SkQT§JKgQTuN_6Q�ObS7A¯KNS\I[IL�gQ'I¯®xUX¸ cRUX�JadZLOÎL�gl UXW�IL�gORS[ZLadIkORUNq�ÉµQ8� Q6IVIk�NQ�IkUXILadcu$Kgl.´`QmZ+UXWfO}uPW¥U ZklnadIkORUXu»ŃOÎhS�Ð {\Ñra S�IL�gQ'MPO^È�QmZLQmu�_6Q�´�QmI¯®xQTQmu·IL�gQºI¯®xUX¸ cRUX�JadZLOÎL�glnSGW¥UXZ¢Ik�NQu$Kgl.´`QmZxUdW�p�UJSkSkOR´gc}QºS\Q�§ KNQmuN_mQTS�aXuNM4Ik�gQ[uJKNl.´`QmZ�UXW�pÙ SLSkO}´gcRQCORugpgKPI¢S\Q�§ KNQmuN_mQTSCÐ y ÑGILO}ltQTSIk�NQ�uJKNl.´`QmZVUdW=S\IkUXZLQTM�SkQT§JKgQmu�_6QTS'Ð HgÑªq

� > & �XÐÄc}U � R Ð & 9��sIs g��TÑ��µc}U � R Ð#� 9��SsIs g��TÑ\Ñ Ð Ò �JÑ

Ò $

~+�gObS�ObS'ŃaXSkQTM!KgpÙXu¦_6U ZkZLQTSkp�U uNMPORug�:_madcb_6KNcRadIkORUXuNSºW¥UXZ8S\ILadIkOb_·v¢Y � _maXpNaX_mOÎ¯j�Ð DiaXuNS\uNQmZ�¶��° Qm´`QmZL� Ò�� " ÑªqºÅsOR�XKgZLQ Ò�& Sk�gUz®CSº�gUz®�Ik�gQ4ZLQT_maXc}cs_maXpNaX_mOÎ¯j:p`QmZ�®xQTO}� � I'MPO}È`QTZLSºW¥UXZºIk�NQMPO}È`QTZkQTuJI�adZh_h�gO}IkQ�_ªIkKNZkQ�Smq+Y[S[Ik�gQ�S\Q8IkQTS\IºORuNMPOb_madIkQ.Ik�gQ@®xQTO}� � IhSCadZLQ�l.K�_h�w´�QmI\ILQmZ[KgIkORc}ORÇmQ�M®V�gQTu�_6U ugugQ�_ªIkOR±$OÎ¯jtObSrZLQTMgKN_6Q�MnIk��adu·®VO}Ik�»W¥Kgc}cRj·_6U ugugQ�_ªIkQ�M·ugQmI¯®xU Zk°PSTq�~+�gQ'_6ZLO}IkQmZLORUXunW¥U Z_6U ZkZLQT_6I'_mUXltpgcRQ6ILO}U u!ORuµIk�gObS']N� KgZkQtObS�Ik�NadI.azI8cRQTa S¯I � "·IkQ�S¯IhS8ad´Ùz±XQtSk�gUz® a:MPORp�O}uµIk�NQ_maXpNaX_mOÎ¯j�ILU�Q q ��q � � Ò �I�V]N� KgZLQ Ò�& ®¢QmZLQxpgcRUdIkIkQ�M²¶zIk�NQx]�ZLS\IGMgO}p4O}u4_maXpNaX_mOÎ¯j'®+aXSG_6U uNS¯ILZkKNQTMaXS¢IL�gQ8_maXpNaX_mOÎ¯jncRORl4O}ITq

0 20000 40000 60000 800000

1000

2000

(a)(b)(c)(d)(e)(f)

Information recall for different architectures

Weights

Info

rmat

ion

bits

,�-/.�0'132_4��6 e:A�=�A�]L-^JQIoA�;p132M]yA�B/B/2yao-/?�V R�13GfA`J3-@R�?o="2M1dD:2L-/.�9�J3;gV RO1j;>R�G<2wJ32MG<="R�1NA�B ?�2MJQDSR�13TG<R�a�2MB@;CDF-^J39Ha'- � 2M132L?�JS]MR�?�?�2L]MJ3-/c�-^JQIv='13-/?�]L-/=�B/2L;LY � A �m6C,�0�B/BÎv]MR�?�?�2L]MJ32yaw132M]L0�1>132L?�JS?�2MJ+D:R�13T"Y� i �m6wts2M]L0�1>132L?�J8?�2MJ+D:RO13TnDF-^J39 132ya�0�]L2ya ]LR�?�?�2M]MJ3-/c'-^J+I a�0�2<J3RP;EI�G<G<2mJ>1>I�Y � ]��m6<rs2MJQDSR�13TDF-^J39 V 2L2La'V RO1>DWA`1Na J32MG<="R�1NA�BC-/?�V R�13GfAOJ3-/R�? R�?�BÎ�Y � a �m6wq_-^\�2Lao132L]L0�1>132M?�J��V 0�B@BÎo]LR�?�?�2L]MJ32LaDF-^J39P]LR�A`13;>2 V 2L2ya�V R�1>D:AO1NaP;>0�G<GfA`J3-/R�? � 2��m6:q_-^\'2ya_132L]L0'1>132L?�J��132ya'0�]L2La_]LR�?�?�2L]mJ3-@c�-^JQI ��DF-^J39]LR�AO13;>2fV 2L2ya�V RO1>DWAO1Na ;>0�G<GfAOJ3-/R�?Y � V �m6w,�2L2ya�V RO1>DWAO1Na R�?�BÎ �)A�; -/? � ]�� i�0�JjDF-^J39 4��Pa�2MBkALI;EJ32L=�;LY

¾'Í � �mD�¡CÂ:DsD��61@7ÉµQrlna¬j�a S\°H�²{¯SiIk�gQTZkQxadu$j�Skp`QT_6Obadc ZkQ�aXSkUXu�IkU�_h�gU$U SkQ�a+IkQTltp�U ZLaXc ltUPMPQmcXIk�NadIsSkpgZLQTaXMNS²Ik�NQIkQTltp�U ZLaXcNORuPW¥UXZLlnazIkORUXuna _6ZLU SLS=a8S\p�azIkObadcNugQ6I¯®¢UXZL°p�·Ë�Q�Sm¶ Ik�NORSrl4QmIk�gUPMnuNUdIrU ugc}j4�XOR±XQ�SGIk�NQSkj$S\IkQTl�Ik�gQ¢pÙ SLS\OR´gORc}O}I¯j�IkU'MPZLa¬®F_mUXuN_mc}K�S\ORUXuNS�UXKgIsUXWPIk�gQ+ORugpgKPI=MgazIhaCW¥ZLUXlIL�gQx�NORS\IkU Zkj'´gKPIadcbSkUºILUOlX_h�NaXug�XQ¢OÎhS=ltO}u�Mpl'®V�gQmutugQT®#ORugpgKgILS�Sk�gUz®FIL�NazIraXu@Q�adZLc}ORQmZ=MPQ�_6ObS\ORUXut®+aXSs®VZLUXug��q~+�$KNST¶iIL�gQ·ugQmI¯®xU Zk°w®VORcRcr´`Q·ZkU ´gKNS\I.ad�JadORuNS¯I�ugU ORSkQnORu�Ik�gQ·ORugpgKgI4adu�M!� QmugQTZLadIkQn_6U ZkZLQT_6ISkQT§JKgQmu�_6QTS�aXcRSkU�®V�gQmuµW adKNcÎ¯j¹MgQT_6ObSkO}U uNS'S\U l4QmIkORltQTS�adZLQ4ILaX°XQmuiq��ºS\ORug��Ik�NQtW¥QmQTMPW¥UXZL®¢aXZLMpgZLO}u�_6ORpgc}Q'W¥U ZVUXcbM�MNazILa4ltQTaXuNS¢Ik��azIVIk�NQ�ugQ6I¯®¢UXZL°n®VO}cRcf´`Q�KguNaX´gc}Q'ILUnMPU4Ik�gObSmq

~+�gQTZkQCaXZkQVSkUXltQCaXSkp�Q�_ªIhS=UdW�IkQTltp�U ZLaXcNaXSLS\UP_mORadIkORUXu@Ik�NadIr�Na¬±XQ+ugUXIr´`QmQmu·MgQTadc}Ir®VO}Ik�nORuIk�NQ�pgZkQ�S\QTuJI+®¢UXZL°H�sSkp`QmQTM�UXW�ZLQT_maXc}c ¶PZLQT_maXc}c�ORu:ZkQT±XQmZhSkQ[UXZhMPQTZT¶JIkORltQ�O}u�MPQmp`QmuNMgQmuJIºSkQT§JKgQmug¸IkObadc ¶dcRUX� OR_Tadc$ZkQ�aXSkUXugORug��aduNM@S\QTl4O}¸|S\Q�§ KNQmuJIkObadc$pgZLUP_6QTSLSkO}ug�[Ik�NadI=lta¬j.ZkKgu@O}u�MPQmp`QmuNMgQmuJIkcRj.ORupNaXZLaXc}cRQmc�Q6½g_6QTpPIxW¥U Z¢_mQmZkILaXO}u·ZLQmu�MPQmÇT±XUXK�Smqs{�I¢��aXS¢adcbS\U8´`QmQTu�a SkSkKgltQTMtIL�NazI¢Ik�NQ�SkQT§JKgQTuN_6Q�SMPUtugUXICUz±XQmZLcbadpnILUnl.KN_h��W¥UXZCatU ugQ6¸�cRa¬j QmZ¢ugQ6I¯®¢UXZL°�q

H$p`QmQ�M�UXW�ZLQT_TadcRcfaduNM�ZLQT_maXc}c�ORu:ZkQT±XQmZhSkQºU ZLMPQTZVadZLQ�´ÙdIL�:ZkQTpgZkQ�S\QTuJIkQTM»´$j·Ik�NQ8_6UXu�S¯IhaduJI~�XOR±XQTu�ORu�IL�gQ8pNaXZLaX�XZhadpg� l o Q6]NuNOÎLO}U u�UdWGIk�gQ.IkQTl4pÙXZhadcipgZkU ´gcRQml\lnad´Ùz±XQ qxÉ/�gQTu¹~ORScRQTSLS8IL�NaduFU ugQX¶sIL�gQ�ZLQT_TadcRcxSkp�QTQTM¦ObS@�XZLQTazILQmZ�IL�NaduFIk�gQ�c}Q�adZLugORug�¹Skp�QTQTMFaXuNM¦®V�gQTu�~ ORS�XZLQTadIkQTZ=Ik�NaXunUXugQ ¶XIL�gQ[ZLQT_TadcRcNSkp�QTQTMnObS�cRUz®xQTZTqsÅgKgZkIk�NQmZ�¶ ®V�gQTu»~ ObS�ugQT� azILO}± Q+Ik�gQºUXZhMPQmZrUdWZLQT_maXc}c$ObSGZkQT±XQTZLSkQTM²qGvxUXuNSkORMgQmZLO}ug�ºIk�NQV±¬aXZkj$ORug�ºSkp`QmQTM4UXW�ZLQT_maXc}c ¶zO}IrS\QTQmlnS�IkU'�Na¬±XQ¢ZLQmcRQm±zaduN_mQORu·´gORUXcRUX�XOb_maXcgS\jPS\IkQTltSTqsÉ/�gQmu·®¢QC�Na¬± QVc}Q�adZLugQTM4W¥U ZrQm½PaXltpgc}QCa.S\Q�§ KNQmuN_mQCUdW²ltUz±XQTl4QTuJILST¶Ik�NQ4Skp�QTQTM�lna¬j:´`Q.±zadZLO}Q�M�®VO}Ik�gORu!_mQmZkILadORuwcRO}ltO}ILSTq�Y ZLQm±XQTZLSkQTM�U ZLMPQTZ[UXW�ZkQ�_madcRcslta¬j�ugUXI´`Q8QT§JKNaXc}cRj»ZLQmcRQm±zaduJICORu�´gORUXcRUX�XOb_maXcfS\jPS\IkQTltSTq¢{�I[ORS[_6UXltltUXu:IL�NazIºp�QTUXpgcRQ��Na¬±XQ�pNZkU ´gc}QTlnS®V�gQTu�IkZLj$O}ug�·IkU�MgU�_6QTZ\IhadORu:ILa S\°PSCORuwZLQm± QmZhS\Q�U ZLMPQTZTqº~iZLj»W¥U ZºORuNS\ILaXuN_6Q�ILU»ZhazIkIkcRQ.UdÈµIk�NQadcRpg�NaX´�QmICŃaX_h°$®+adZhMgS��

É/�gQTuÃcRUJU °$O}ug� azI:ltUdILUXZ:S\jPS\IkQmlnS�O}I:ObS�ZLadIk�gQTZ�KNugZkQ�adcRORS\IkOb_¹IkUÊO}lnad� O}uNQ¹IL�NazI:Ik�NQp`QmZkW¥UXZLltaXuN_6QnUXW+aXuFaX_6IkORUXu¦_6U KgcRMµ´`Q·ZLQm±XQTZLSkQTM!´$j A¯K�S¯I.ZLQm± QmZhS\ORug��Ik�gQ»UXZhMPQmZ8UXW¢l@KNSL_6cRQS\IkORl.KgcbazILO}U ufq=~iU8ZLQm± QmZhS\QCa.ltUz±XQmltQTu I¢a8_6U l4pNc}QmIkQmcRjnMPO}È`QTZkQTu I+S¯ILZLadIkQT�Xj.��aXSrIkU8´`Q[Ihad° Qmu

Ò��

®VO}Ik��MPO}È�QmZLQmuJI.l.K�Sk_mc}Q�S�O}u$± UXcR±XQTMµQmIL_dqw~+�NORS@MPU$QTS8uNUdI.ORltpgc}j!Ik��azI.IL�gObS.Sk�gUXKgcbM�´`Q·Ik�NQW aX_6I¢ORu»aXc}c�cRQm±XQTcRSrUdWfIL�gQ'S\jPS\IkQml:qG{�I+ORSxp�UJSkSkOR´gc}Q[Ik�NadI+aXu»aX_6IkORUXu»S\IkU ZkQ�M·azI+a8�gOR�X��c}QT±XQTc�ORuIk�NQ'SkjPS¯ILQml:¶$®V�gQmZLQFA¯KNS¯I+ltUPMPQmcf_mUJU ZLMgO}uNadIkQ�Srad´ÙXKgI¢IL�gQ�UXKPILQmZ+®xU ZkcbMnObSxIkZLQTazILQTM²¶$lna¬jn´`QZLQT_maXc}cRQTM�ORu:a4ZLQm± QmZhS\Q�MnUXZhMPQmZ�q

~+�gQ�aX_ªILKNadcxltUz±XQmltQTu IhS.aXZkQnIL�gQmu�pgcRaXugugQ�M�W¥ZkU l³Ik�gQ�S\Q�_6U$UXZhMPORuNazILQTS8aXuNMFMPO}È`QTZkQTuJIcRQTadZLugQ�MµS\IkZhazILQm� O}Q�S'®xU KgcRM!IL�gQmuF´`Q·KNSkQTMµORuFMPO}È`QTZkQTu I4MPO}ZLQT_6IkORUXuNSTq�É/�gQmu¦U ugQ·_6U uNS\ObMPQTZ_6UJadZhS\Q:SkKgltltadIkORUXu/aXS»a�l4QmIk�gUPM#IkU¦lnaXuNad� Q�cRUXuN�F_6UXuJILQ6½$I·c}QTug�dIL�NStIL�gQmZLQwadZLQ�aµW¥Qm®§JKgQTS\IkORUXu�SCIL�NazI�lta¬j�aXZkObS\Q q.Ð aJÑC{¯S[Ik�NORS�a·ZLQmcRQm±zaduJI[ltQmIk�gUPMK��Ð ´�ÑC{¯S[Ik�NORSºO}uµS\U ltQ@SkQmuNSkQ´gORUXcRUX� OR_TadcRc}jnZLQmcRQm±zaduJI��Ð aJÑ�ÅgKgZkIk�gQTZVIkQ�S¯IhSCUXWsIL�gObSCltQ6IL�gUPM:UXuwSkQT§JKgQmu�_6QTSC®VOÎL��c}U ug�·_6U u ILQ6½$ILSC�NaXS+ILU·´`Q.MPUXuNQ

O}u»_mUXl@´gO}u�azIkORUXu»®VOÎL�»a8ltUXZLQCIL�gUXZLUXKN�X�·S\ILazILORS\IkOb_maXcàXuNadcRjPS\ObSTq�{�WfcRU$UX°$O}uN�@azI¢O}ltpgcRQ6¸l4QTuJILazILO}U u!UXW¢SkKN_h��a»ltQ6IL�gUPMµOÎ8lna¬jwadcbSkU�SkQmQTlÆO}ltpgZhaX_6IkOb_maXcGIkU:pgZLUXpNaX� azILQ@aXuNMS\Kgl�S¯ILO}l@KgcRO J UXKPILpgKPILS�O}u4Ik�NQC®¢a¬j.®xQVMPU��gQTZkQ qGHPUXltQ+W¥KguN_6IkORUXutIk��azIradpNpgZkU¬½PORlnazIkQ�SIk�gObS+´�QT�Na¬±$O}U ZVORS+pNZkU Ńad´gcRjnILU4´`Q�pgZLQ6W¥QTZkZLQTM²q

Ð¥´`Ñ:~+�gQmZLQ:ORS·_mKgZLZkQTu ILc}j#ugU¦ORuNMPOb_mazILO}U uÊIk�NadI�_6UJadZhS\Q:S\KNl4lnadIkORUXuf¶VaXStO}I»ObS·MPQ�Sk_mZkOR´�Q�M�gQmZLQX¶flna¬j�Ihad° Q4pNcRa _6QtO}u�´gORUXcRUX� OR_Tadc=Skj$S\IkQTlnSmqt{�WVS\KN_h�¦a�ltQT_h�NaXugObS\lÆQm½PORS\ILS'O}I8ORSl4U ZkQ'pgZLUX´�ad´gcRQ�Ik�NadICOÎCObSVŃa S\Q�M»KgpÙXui¶gW¥UXZVORuNS\ILaXuN_6Q ¶N_6U uN_6QTu ILZLadIkORUXu�_h�Nadug� QTS+QmIL_dqO}u�´gORU$_h�NQmltOR_Tadc²ZLQTa _ªIkORUXu:Skj$S\IkQTlnSmq

YCcRcPIL�gQ+IkQ�S¯IhSGO}u4Ik�NORS=®¢UXZL°��Na¬± Qx´`QmQTu4ZLKgutUXu4ZhaduNMPU l¤S\Q�§JKgQmuN_mQTSGUXW`_h�NaXZLa _ªIkQTZLSTqiÅNKgZ\IL�gQmZORuJ± QTS\IkOR� adIkORUXuNSs�Na¬± QrILU�´`QCMPU ugQ+UXutS¯ILZkKN_6IkKgZLQTMtSkQT§JKgQTuN_6Q�S�UXW�MNazILaN¶dO q Q qsSkQT§JKgQTuN_6Q�SG®V�gQmZLQO}I¢ObS¢p�UJSkSkO}Ńc}QºIkUtMPQ6]�ugQ�a@�XZhadltlnadZ�u$aXSx®xQTc}c²aXSxUXu�S\Q�§JKgQmuN_mQTSx®VOÎL��MgORS\IkZLO}ŃKPIkQ�M�a _ªIkOR±$OÎ¯jORuIk�NQ!ORuNS\ILaduJIhadugQTUXKNS»pNazIkIkQmZLuNSTq {|uJ± QTS\IkOR� adIkORUXuNSn��a¬±XQwILU�´`QµMgUXugQµ®VOÎL�ÃugU ORSkj/S¯IhadZkISkQT§JKgQmu�_6QTStaXuNMFIL�gQ�_maXpNaX_mOÎ¯jF_mUXu$±XQTZk� QmuN_mQnW¥UXZncbadZL�XQ�ugQ6I¯®¢UXZL°PS@��aXS@IkU�´`Q:_h�NQT_h°XQ�M�a S®¢QmcRcÄq

¾n� � 147:¡C3mÂ:D��61@7~+�gQCS\IkKNMgO}Q�S�MPUXuNQ¢ORu4Ik�gObS�®¢UXZL°�ORuNMPOb_mazILQ+Ik�NadI�Q6¼·_6ORQmuJIrSkQT§JKgQTu ILORaXcgaXSLS\UP_mORadIkOR±XQ¢l4QTltUXZLO}Q�Slna¬j�´`Q�´gKgORcÎ�KNS\ORug�¦U ugQ�cRa¬j QmZ « a¬jXQ�S\Obadu#ugQ6I¯®¢UXZL°PSm¶x®V�gQmZLQ:IkQTltp�U ZLaXcCO}ugW¥UXZLltadIkORUXuÊORSIkZhadu�S¯W¥U ZkltQTM�ILU�SkpNadIkObadcsO}uPW¥U ZklnadIkORUXuwKNSkORug��S\IkORl.KgcRKNS'MPQTcRa¬j�c}ORugQ�Smq�~+�gQ4ZkQ�aXSkUXu:W¥U Z[IL�gORSpgZLO}u�_6ORpgc}Q�ILU4´`Q8azÈ�UXZhMgaX´gc}Q�ObS¢Ik�NadIT¶gMPKgQ'ILU4IkORl4Q'ORu$±¬aXZkObaduJI+ZkQTcRadIkORUXuNS¢´`Q6I¯®¢QmQTu�pNadI\ILQmZLuNSm¶Ik�NQ�®xQTO}� � I·lnadIkZLO^½��aXS·a¦S\IkZLKN_ªILKgZLQ�®VO}Ik�/l@Kgc}IkORpgc}QwSkj$ltl4QmIkZLO}Q�Sn®V�gQTZkQ�ldZLQTMgKguNMgaXu I!l_6U ugugQ�_ªIkORUXu�S'lta¬j¹´�QnZLQmltUz±XQ�M²qt~+�gQnu$Kgl.´`QmZ�UXW¢_6U ugugQ�_ªIkORUXu�S'®VO}cRc=Ik�NQmu��XZLUz®¤cRO}ugQ�adZLc}j®VO}Ik��Ik�gQ�lnad½$ORl.KNl�_6U uJIkQ6½$IVcRQmug�XIk��ltaXuNad� QTM�´$jnIk�gQ�uNQ6I¯®¢UXZL°`q

« j�KNS\ORug�µZkQ�_6KgZLZLQmuN_mjµORuFIL�gQ�IkORltQ:MgUXlnadORuf¶ra¹IkQTl4pÙXZhadc¢ugQmI¯®xU Zk°�®VORc}cV´`Q�aX´gcRQ»ILUIkQTc}cÌL�gQ'ugQ6½$IV_6UXuJILO}u$KNadIkORUXu·UXW�a.SkQT§JKgQTuN_6Q'aduNM»azI¢Ik�gQ�SLadltQCILO}ltQ'_h�Nadug� Q[O}ILS¢pgZLQm±$ORUXKNSkc}jILaX°XQTuµMPQ�_6ObS\ORUXuµ®V�gQTu!ugQT®�_mUXuJIkZhaXMgOR_6IkORug��S\IkORl.KNc}OraXZkZLOR±XQTSTq@~+�NQnZkQ�S\Kgc}ILS'ORuNMPOb_madIkQ�S�Ik�NadIIk�NQ.´`QTS\I�ORuPW¥UXZLlnazILO}U uw_madp�aX_6O}I¯j�p�QTZ[®¢QmOR�X�JIºObS[a _h�gO}QT±XQ�M:®V�gQmuwZLQTMgKN_6Q�Mw_6U ugugQT_6IkOR±$OÎ¯j�ORSKNSkQTM²qs{�Ix_Tadut´�QVK�S\Q�M@QTOÎL�gQmZ�W¥UXZra'ugQmI¯®xU Zk°8Ik�NadI�ORSGW¥KNc}cRj@ZLQT_mKgZLZkQTu I=ORu4Ik�gQC®V�NUXcRQ+_mUXuJIkQm½$IcRQmug�XIk�·U Z�O}u�_6UXl@´gORuNazILO}U un®VOÎL�nW¥QmQ�M$W¥UXZL®¢aXZLMnaXuNMn_6UJadZhS\QCSkKgltlnazILO}U utIkU.lnaXuNad� QVc}U ug�XQTZ_6U uJIkQ6½$IVcRQmug�XIk�NSTq

Y[S�aCZLQTSkKgc}IiUdWPIL�gORS�®¢UXZL°ºa[~�QmltpÙXZhadcJY[SLS\UP_6ObazILO}± Q�eCQmI¯®xU Zk°tÐ ~sY[e�ÑiSkUdW I¯®+adZLQ=pNaX_h°zaX�XQObSsa¬±zaXO}cbad´gcRQXqs~+�gQ+pNaX_h°zaX�XQrObSs®VZkO}I\ILQmu4O}utY[e�H${�¸\v¦adu�M8ObSGO}uNS\ILaXuJIkObad´gcRQx®VO}Ik�@Ik�NQxW¥U c}cRUz®VORug�pNaXZLaXl4QmIkQTZLS��²u$Kgl.´`QmZhSiUXWgKgugO}ILSsORu@aCp�azI\ILQmZLuf¶zu$Kgl.´`QmZGUXWgugQmKgZLUXu�adcJp�U pgKgcbazIkORUXu�Sm¶¬u$Kgl.´`QmZUdW�W¥KgcRc}j._mUXuguNQT_ªILQTM@S¯ILQmpNST¶du$Kgl.´`QmZ=UXW�S\IkQmp�SG®VOÎL�@ZLQTMPK�_6QTM4_6U ugugQ�_ªIkOR±$OÎ¯j ¶zu$Kgl.´`QmZ=UXW�S¯ILQmpNS®VO}Ik�µW¥QmQ�M$W¥UXZL®¢aXZLM!_6U ugugQT_6IkORUXuNST¶fu$Kgl@´�QTZ�UdWrW¥QTQTMP´�aX_h°¹S\IkQTpNSm¶iuJKNl.´`QmZ8UXWxugU ZklnadcGORugpgKPIS\IkQmp�SVaduNM�u$Kgl.´`QmZVUXWG_mU aXZLSkQ�SkKgltltQTM�S¯ILO}l@KgcROiS¯ILQmpNSTq

Ò��

¾ | AÆ¡�À�7:1 � 36>C9�Á@>� >[7t sD�waXuJj'IL�NaduN°$SsILU ��O}°zaXQmc o A¯KgZ\W¥QTcRMPIxaduNM4~�UXl¤É�aXMgMgQmu@W¥UXZ�_6ZLO}IkOb_madcPZLQTa MPORug��aXuNM@±¬aXc}K�ad´gcRQ_6U ltl4QTuJILS=U utIk�gQClnaXuJK�Sk_mZkORpPITqGÅgKNuNMPORug�8pgZLUz±$ORMPQ�M4´Jj.Ik�gQ�e[adIkORUXuNaXc�H$®¢QTMPObS\� « U aXZLM@W¥U Z~�QT_h�gugOb_maXc o QT±XQmcRUXpNl4QTuJIVÐ HP~ �ºÑ6¶dKguNMgQmZ=�XZhaduJI �� ¸ � Ò�� @ & �:ObSG�gQmZLQm´$j�� ZLadIkQ6W¥KNc}cRj8aX_h°$ugUz®Vc}¸QTMg�XQTMfqsH$KgpNp�U Z\IsW¥ZkU l o OR�XO}ILaXc��x§JKgO}pNl4QTuJI�vxU Zkp`UXZhazILO}U u � S6��KgZLUXp`QTaXuo�=½$IkQTZku�adc y QTSkQTaXZL_h��ZLUX� ZLaXl2Ð#�G� y �xÑxObSVadcbS\Ut� ZLadIkQ6W¥KNc}cRj»aX_h°$ugUz®VcRQTMg�XQTMfq

@?�

02>y�d>[<=>[7:¡V>CD� « aXZku�adZhM»adu�M:v¢a Ska S\QTu I�¶ Ò�� « adZLuNadZhM��[qradu�M/v¢a Ska S\QTuJI o q Ð Ò�� ÑªqÃYÆ_mUXltpNaXZkO}¸S\U u:´�QmI¯®xQTQmuw_6ZLO}IkQmZLORUXu�W¥KguN_6IkORUXuNSCW¥UXZ[cRORugQTaXZ[_6cbaXSLS\O}]NQTZLST¶®VOÎL�µaXu¹adpNpgc}Ob_madIkORUXu¹IkU»uNQmKgZhadcGugQmILSTq �� p'S�z�K t�d��), ª�|�6�� h��f�d��d�`��)�^h�"'ª�`�m�� 0 ��F� Ò �I�'� � Ò �'! Ò q� *�ZkORc}cRugQTZ.�6�-�z� j ¶ Ò�� $ � *�ZkORcRc}ugQTZ H�qR¶BÉ�adcRc��Qmu �Gq}¶ o aXc}Q e.q}¶ « ZkUPMPORu Drq}¶« KN_h�Nadu�adu �NqR¶¬aduNM O}cRc y qgÐ Ò�� $dÑ6qd~iZhadu�S\ltO}I\IkQTZLST¶mltQTl@¸´gZhadugQ�pgZLUXp`QmZkIkORQTS+aduNM�ugQmI¯®xU Zk°·_mO}Zh_6KgO}I¯jnORu»IL�gQ�_6UXuJILZkU cUdW�c}UP_6U ltUdIkORUXu#O}uÊcbadltpgZLQmjXq � 'L�6��, ?� �Ê�.�"� 'k�, m�"� �6��L��F� �'!��4! Ò q� UXpg]NQmcbM:aduNM�~�aXug°�¶ Ò�� $�� U pP]NQmcbM �Nq�aduNM�~�aXug° o qNÉ©qCÐ Ò�� $dÑ6qGe[QmKgZhadcf_mUXltpgKP¸ILadIkORUXu¦´$j!_mUXuN_mQmuJIkZhazILO}ug��ORuPW¥U ZklnazILO}U u�O}u�ILO}ltQXq��M'L�T� j��d�Ä� j �º�!�X� j ��"� j�� g��6� Ò��I&�� Ò�� '�Nq� �XU ZLMgaXuf¶ Ò��'& � �XU ZLMNadu��¦q#Ð Ò��'& Ñ6q�Y¢I\IkZhaX_6IkU Z@MPj$uNaXl4Ob_mS@aduNMFpNadZhadc}¸c}QTc}ObSkl ORu»a�_6U ugugQ�_ªIkORUXuNORS\IxSkQT§JKgQmuJILORaXcglnaX_h�gORugQXq�{|u��M'L�z��h�L�h�(� ��3( V�21x�¥�g� � �43¬�$�¥�8�º�N��K�z��z��16�"'k�m�`�h�[�21¢� �N��S3X��K� �$�&%¬��"� �6��h��²�T�"� �6�$)z¶¢pgpfqF"'� Ò � " ! & q�D�a¬®VZkQTuN_6Q ��ZLc}¸ŃadKNl�¶ ORc}cbSkMNadcRQX¶gYClt�gQTZLS\I Ò��'& q� ��aduNMPQTcfaduNM:HP_h�$®+adZkIkÇX¶ Ò�� "�� aduNMgQmc8�Cq y qgaduNM:HP_h�$®¢aXZ\ILÇ9��q qCÐ Ò�� "XÑ6q��i'�� `�"� .`�}�0 �I14�.�"� 'S�z�r��"� �6��L�mqf��cbSkQm±$O}QTZ.HP_6ORQmu�_6Q �rKg´gcRORSk�gORug�!vxUN¶{|uN_d¶�eCQm® Ë�UXZL°�qK@@QTMPO}IkORUXufq� �'UX�gU ugQmuf¶ Ò�� 'UX�gU ugQmu:~'q[Ð Ò�� Ñ6q+��m� 1h��i'�3��d�K� ��z�$� �z��z��@�a � m��0�#�d��&%z�!�w�m�n��'�)zqxH$pNZkORug�XQTZ\¸#"=QmZLcbad�N¶ « QmZLcRO}ufqK@@Q�MPOÎLO}U ufq� DiaduN� ��q �tq}¶ Ò�� DiaXug� ��q �tq qP*4q Ð Ò�� Ñ6q�Y IkORltQ6¸|MPQmcba¬j ugQmKNZLaXcugQ6I¯®¢UXZL°FadZh_h�gO}IkQ�_ªIkKNZkQ»W¥UXZ·Skp�QTQT_h��ZLQT_mUX� ugOÎLO}U ufq�~�QT_h�fqy Qmpiq`v � �V¸\v+HJ¸ �� ¸ Ò "�@P¶ o QmpPI�qNUdWrvxUXltpgKgIkORug�»HP_6ORQmu�_6QX¶v¢adZLugQm� O}Qm¸ �wQmcRc}U u �CuNO}± QmZhS\O}I¯jX¶ �²Y.q� Diadu�S\ugQTZCaduNM`��° Qm´`QmZL�N¶ Ò�� " � DiaXuNS\uNQmZºY.qàXuNM��° Qm´`QmZL�%$Ì@q.Ð Ò�� "XÑªq y QmcRORaX´gO}cRO}I¯j�aXuNMS\p`QmQ�M¤UXW»ZkQ�_maXc}c4O}u adu aXSLS\UP_6ObazILO}± Q�ugQmI¯®xU Zk°�q ��&�� '��z�p '�z�'��z� �|�0'ª�»�º�/�d�X), ��+ n�z��(�f� �L� � �`� � �N�|�m� �X�43 �m�`�h�) � ! � � �4! �� q� Diadu�S\ugQTZCaduNM`��° Qm´`QmZL�N¶ Ò�� $�� DiaXuNS\uNQmZ:Y8qVaduNM ��°XQT´�QTZk�*$Ì@q Ð Ò�� $dÑ6q Y[u aXSLSkU$_mORad¸IkOR±XQtugQmI¯®xU Zk°wSkUXcR±$O}ug��Ik�NQ,+ !d¸�´gO}I8aXMgMPQTZ'pgZkU ´gcRQml\lgq4{|u�M'k��h�L�h�(� ��3( @�I18�¥�g� �-��/. �&'! ª�r�º�N��K�z� � �N�|�0'ª�H�z�$� �z�/�d��z��16�"'k�m�`�h��z� �@�0� '��z�@�@�6� �r��'k�� ª¶�pgpiq@{k{0��" ! � q.HPaXuo ORQm� UN¶ ��HPY8q� Diadu�S\ugQTZCaduNM`��° Qm´`QmZL�N¶ Ò�� DiaXuNS\uNQmZ:Y8qVaduNM ��°XQT´�QTZk�*$Ì@q Ð Ò�� Ñ6q�YBUXuNQ6¸�cRa¬j QmZW¥QmQ�MPŃaX_h°�¶�aXZ\ILO^]�_mORaXcrugQTKgZhadc¢ugQ6I¯®¢UXZL°!®VO}Ik�#a « a¬jXQ�S\Obaduc}Q�adZLugORug�:ZkKgcRQXq � �N�|�"'ª�/�z�$� �z�H�z�&1P�(� 'ª�/�z�¢�I1.�@�0� 'S�d�G��), ª��m�� 2�/� $I$3� � $$¶�YCcbS\UCQm½$IkQmu�MPQTM8aXŃS\IkZhaX_ªI�O}u �rZkUP_mQmQTMgO}ug�JSW¥ZkU l2Ik�NQ·eCUXZhMPOb_@Skj$ltp�UJS\ORKglÆU uµe[QmKgZhadcxvxU l4pNKPIkORug�N¶YCpgZLORc Ò $4� Ò�� ¶ aduNa Ska adZLO²vxKNcÎLKgZkQ@vxQTuJIkQmZ�¶p�rSkpÙJU�¶gÅsO}uP¸cRaXuNM²q

@ Ò

� Diadu�S\ugQTZ.�6��z� j ¶ Ò�� DiaXuNS\uNQmZ Y8qR¶f��°XQT´�QTZk� Ì@q}¶w~�Z��aX±&�Qmu qR¶ « ZLU$MgO}u Drq}¶ÉµaXc}c �QTu �GqR¶PHJIkQTuNS\ltU �Fq}¶$aduNMU*�ZLORc}cRugQmZ+H�q=Ð Ò�� Ñªq²H$ORl@¸KgcbazIkORUXu�UdW�Ik�gQ�Qm½Pp�QTZkORltQmuJILaXc}cRjnQTS\ILaX´gc}ObSk�gQTM�S\QT�XltQmuJIhadc ¶S\KNpgZLa S\pNO}uNaXcXadu�M8S\QTuNSkUXZLjº_6ORZh_6KgO}IkZLj[Kgu�MPQmZLc}j$ORug�CcRUP_6UXltUX¸IkORUXu:ORu�cbadltpgZLQmj q¢�� j �@�0� 'k�� m�0� �m�`�'�a^� ª�$' �� Ò �?! � q� �waXSLS\U ugQ,D�¶ Ò�� waXSLSkUXugQ D « qF�[q¦Ð Ò�� Ñªq�Y ugQmKgZhadcrugQ6I¯®¢UXZL°¹ltUPMPQmcW¥UXZ�c}ORl.´ ILZLa?A¯QT_ªILUXZLj¦W¥UXZLlnazILO}U ufq lna¬j#´�Q¹SkKg´gltO}I\ILQTM²¶_6KgZLZLQmuJIkcRj»MPU u � IC°$ugUz®�q� �=adZhS\U uNSm¶ Ò�� $�� =adZhS\U uNS�~'qJÉ©qxÐ Ò�� $dÑ6q�� h�o�d�`�@�(.N�h�h�L� �M'L�T�h�0 � �� -3dq�w_�*�Zha¬®+¸ ORc}c « U$UX°�vxU l4p�adu$jX¶ge[Qm® Ë�UXZL°`q� y U SkQmu$´gcbazIkIT¶ Ò��I& @ � y U SkQmu$´gcbazIkICÅxqVÐ Ò��'& @XÑ6q��i'�� `�"� .`�}�0 @�I1C�@�0� 'k��)z�H�z�� ªqH$pNaXZ\Ihaduf¶ge[Qm® Ë�UXZL°`q� H$�NaduNugUXuf¶ Ò�� " Ò � H$�NaXugugUXu�vºq�Ð Ò�� " Ò Ñ6q �rZkQ�MPOR_6IkORUXu aduNM�QTu ILZkU p$j©UdWpgZLO}uJIkQ�M2QmuN�XcRORSk�fq �[�m� �w�/), h�|�m� ��h�L�P�K� �!�z� 1P�� 'ª�/�d�� F� "'� � & !Nq� ~iZ��ad± �QTuf¶ Ò�� ~iZ��ad± �QTu q Ð Ò�� Ñªq~�QmltpÙXZhadcCa SkSkUP_6ObazIkOR±XQ:ltQmltU Zkj q~iQ�_h�fq y QTpfqr~ y {¯~sYV¸|e[YÇ � �� @P¶ o QTpPITqxUdW'eCKgltQmZLOb_madcYCuNaXc}jPSkORS[aduNMwvxUXltpgKgIkORug�»HP_6ORQmu�_6QX¶ y Uzj aXc²{|uNS¯ILOÎLKPIkQ.UdW~iQ�_h�gugU c}U �XjX¶gHJILUP_h°J�NUXcRl�¶NHP®xQ�MPQmufq� ÉµaXO}´`Qmcx�m��d� j ¶ Ò�� ÉµaXO}´`Qmc$Y8qR¶ aXuNadÇ�a¬®¢aV~'qR¶ ORuJIkUXu_*4q}¶XH$�NO}°zaduNU��tq}¶zaXuNMDiaXug�f�tqFÐ Ò�� Ñªq ��gU ugQmltQnZLQT_mUX�XuNOÎLO}U uµK�S\ORug��ILO}ltQ6¸MPQmcba¬j�ugQmKgZhadc ugQ6I¯®¢UXZL°PSmq �-�� p'S�z�K 0� �6�$� �z�K +�d�@�[�h��- ª�� 0 h�=�(.N�h�L�h�J�i�z�`�n��43X�/�d��M'k��h�� ! �� 3 � ) � ��@ � ��'� � q

@�@

Q MnZkQ maXc}cbSmq=~+ $KNS¢®¢Q - orre. · PDF fileZLUXuNaXc[ugQmI¯®xU...

Documents

Transcript of Q MnZkQ maXc}cbSmq=~+ $KNS¢®¢Q - orre. · PDF fileZLUXuNaXc[ugQmI¯®xU...