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University of South FloridaScholar Commons
Graduate Theses and Dissertations Graduate School
10-15-2003
Matlab Implementation of GSM Traffic ChannelNikhil DeshpandeUniversity of South Florida
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Scholar Commons CitationDeshpande, Nikhil, "Matlab Implementation of GSM Traffic Channel" (2003). Graduate Theses and Dissertations.https://scholarcommons.usf.edu/etd/1354
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YT;IHC?�YT;>343068? A 126xW�D + 79Y�HC. + 6TH � ?�68= A . A , U O ?2D2346 k ¹ W � U�¼\l � 1�6)W � U :2H O b.J?�687X: 6THC7 O =<;>3 E O + .43J. A ,n+�,;>343 O u .4=�S A 1�6«D27 6TH A O 12;�b>6�;>YTY�68797 A O 79D + 79Y�HC. + 68?�7 6TH9b�.4Y�687x.0H9H9687 : 68Y A .0b>6 O K_;G7 : 68YT.ML�Y A 6TH E .4=2;>3yl
� =27 6TH A .4=2S A 1�6rW � U¨YT;IHC?�.4= A O ;>= O A 126TH A 6TH E .4=2;>3�;>343 O u 7 A 1�6¤D<7 6TH A O HC68Y�68.0b>6�YT;>34347d; AdA 126 A 6TH E .4=2;>3 kE ;I/>6|YT;>3J347�K�H O E A 12; ArA 6TH E .4=2;>3*;>=2?GHC68Y�68.0b>6 O A 1�6TH�79D + 79Y�H\. + 68?�796TH9b.JY�687Tl
÷ éyè<é»è<éyè �*Ä8�
� 126rW � U :2H O b�.4?�687 E O + .4306¤u . A 1�.4?�68= A . A , ldij. A 1 O D AdA 126rW � U A 1�6 E O + .4346¤.47�= O A O :�6TH\; A . O =2;>3yl` 6TH A ;>.J=n7CD + 79Y�HC. + 6TH¡:<;IHC; E 6 A 6TH\7X;IH96�7 A O H968? O = A 1�6 W � U YT;IH\? A O S>6 A 1�6TH$u . A 1|: 6THC7 O =<;>3?<; A ;PD27 68?+, A 1�6�7CD + 79Y�HC. + 6TH�l � 1�6�7CD + 79Y�HC. + 6THZ.47RH96TS].J7 A 6TH968?ò.4= A O A 1�6G=�6 A u O H9/ +, A 1�6®W � UõYT;IHC?*l � 1�6W � UÅ.47 A 1�6 O =<3 , .4?�68= A .MLNYT; A . O =�K O H A 1�6x79D + 79Y�HC. + 6TH8l � 1�6TH96TK O H96 k A 1�6x79D + 79Y�H\. + 6THX=�6T68?GYT;IH9H , O =23 ,A 1�6|W � U YT;IHC?F.J= O HC?26TH A O«O + A ;>.4=�H O ; E .4=2S�Â�.4= A 6TH\=2; A . O =2;>3 ;>YTY�68797 A O A 126x=26 A u O H9/�u�. A 1G;n7C.4=�S]306=D E|+ 6TH8l
÷ éyè<é»è<éJ÷ �Bí%1^ê���ø��xùsúdê"45�¥øû�ì
� 126 E O + .J306r68QD2.0: E 68= A bI;IHC.0687_u .4?2683 , ;>=<?�.4=<YT34D2?�687_79D2YC1�?�6Tb�.4Y�687¤;>7¤;nY�68343N:<1 O =�6 k ;|:N;IS>6TH k;�34;I: A O : O HG;¥K�;�� E ;>Y\12.4=�6�u . A 1ÿ;�HC;>?2. O E O ?�6 E l � 126 � = A 6THC=<; A . O =2;>3 U O + .4346�[$QD2.0: E 68= A
� ?�68= A . A , k ¹ � U�[ � ¼ k ?26879.0S]=2; A . O =�D2=<.4Q�D2683 , .4?�68= A .ML<687x; E O + .4306�?�6Tb�.4Y�6>l � 126�W � U YT;IHC?vY O = A ;>.J=27A 1�6 � = A 6THC=2; A . O =2;>3NU O + .4306�W�D + 79Y�HC. + 6TH � ?268= A . A , k ¹ � UvW � ¼ k ?�6879.0S]=<; A . O = k u 1<.4YC1�.J7XD27 68? A O .4?�68= A .0K ,A 1�6«79D + 79Y�HC. + 6TH A O A 1�6«7 , 7 A 6 E k ;G7 68Y�H96 A />6 , K O HP;>D A 1�68= A .4YT; A . O =v;>=2? O A 1�6THP.4=2K O H E ; A . O =*l � 1�6
� U�[ � ;>=2? � UvW � ;IH96R.4=2?�6T: 68=2?268= A k u 12.JYC1G:2H O b.J?�687£K O H :�6TH\7 O =2;>3 E O + .J34. A , l
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÷ éyè<é4÷ §��2ë8øv�¤î��<û¡ë8ü]ø�ê"�Nøî®� ì0��ì�ê�í�û� 126 � ;>7 6 � HC;>=279Y�68.4b>6TH�W A ; A . O = k ¹ �¤� W2¼ k Y O = A ;>.4=<7G68Q�D2.4: E 68= A K O HF:<1 , 79.JYT;>3 HC;>?<. O A H\;>=27 ²
E . A A .J=�S�;>=2?�H968Y�68.0b�.4=�S k 79.4S]=2;>3 E 68;>79D2H96 E 68= A k 68=2Y�H , : A . O =�;>=2?�Y O E�E D<=2.4YT; A . O =�u . A 1 A 1�6 � ;>7 6W A ; A . O = ` O = A H O 3J306TH k ¹ � W ` ¼\l � 1�6 �£� W¥.47�D279D2;>3J3 , 3 O YT; A 68?�.J= A 126GY�68= A 6TH O K�;�Y�68343Ðl � 1�6FY�68343Y O E�E D2=2.4YT; A 687_u . A 1 A 1�6 =�6 A u O H9/ A 1�H O D�S]1 A 126 �£� W�l � 1�6 + ;>7 6�7 A ; A . O =�Y O =279.47 A 7 O Ks; A 3068;>7 A O =�6+ D A YT;>=F12;�b>6|;>7 E ;>= , ;>7�7C.M� A 6T68= A H\;>=279Y�68.0b>6TH 7 A ; A . O =27TlX[_;>YC1 A HC;>=<79Y�68.0b>6TH 7 A ; A . O =GH96T:2H9687 68= A ;?2.Mt 6TH968= A K�HC68Q�D�68=<Y , l
÷ éyè<é� §��2ë8ø¥��ì���ìfê�íNûþ�ZíNû�ì�î�í#����øî� 126 � ;>796GW A ; A . O = ` O = A H O 34306TH k ¹ � W ` ¼ k 7 6TH9b>687Z;>7|;®Y O =<Y�68= A HC; A O H�= O ?�6«K O H|7 6Tb>6THC;>3 �¤� W�7Tl
� 1�6 � W ` .47dH9687 : O =27C. + 306XK O HX;>343 O YT; A .4=�S)HC;>?2. O Y\12;>=2=�683J7 k u 12.4Y\1n;IHC6rD27 68? +�, A 1�6 �£� W�l @ ?<?2. A . O =�²;>343 , k A 1�6 � W ` Y O =2=268Y A 7P7 : 6T68YC1v;>=2?�79.0S]=<;>34.4=�S�YC12;>=2=268347 A O A 1�6«U�W ` ;>=2?�12;>=<?230687�K�H968QD�68=2Y ,;>? E .J=2.47 A HC; A . O = k A H\;>=27 K�6THC7r;>=2?®1<;>=2? O b>6TH\7 O K E O + .4306P7 A ; A . O =27 + 6 A u¤6T68=�?2.0t�6TH968= A �£� W�7Tl
÷ éJ÷ ��ø�ì6��í<î�7��<û¡ýþ�8��ê�ì�ü��dê»û9$��sú91dëTïsëTì�ø � &9�v�d��+� 126®- 6 A u O H9/ð;>=<?�Wu . A Y\12.4=�S¦W�D + 7 , 7 A 6 E k ¹ -PW2W2¼ k Y O =27C.47 A 7 O K E O + .4346G79u . A YC1<.4=�SvY�68= A 6TH\7
;>=2? A 126�?2; A ; + ;>7 6 k u�12.4YC1�7 A O H9687 A 126�?2; A ;vH968QD2.0HC68?òK O H�H O D A .4=�S�;>=<?ð7 6TH9b�.4Y�6>l � 1�6Fb�;IH\. O D27Y O E : O =�68= A 7 O K A 1�6|-PW2W�;IH96|?<.479YTD2797968? + 683 O uRl
÷ éJ÷*é»è �Bí%1^ê3��ø¥�8��ê�ì�ü��dê»û9$ð�Zø�û�ì�ø�î:&9�Ï�¡�;+� 126ZU O + .4306«Wu . A Y\12.4=�S ` 68= A 6THPY O H9H9687 : O =2?<7 A O ;�3 O YT;>3d7 A ; A . O =�.4=�;�:<D + 34.4Yx7 u . A Y\1�68? A 68306�²
:<1 O =26�=�6 A u O H9/�l ¬ O u¤6Tb>6TH k A 126�UvW ` ? O 687Z= O A 12;�b>6F;>= , 12;IHC?�²Ðu .4H968?�79D + 79Y�HC. + 6THC7Tl � A .47ZH96�²7 : O =279. + 306 A O E O b�.4=�S E O + .4306«7 A ; A . O =27 + 6 A u¤6T68=¦?<.Mt�6THC68= A �£� W�78l � 1�6�UvW ` : 6TH9K O H E 7P;>3J3 A 1�67 u . A YC12.4=2S�K»D2=2Y A . O =27 O K_;�L2��68?�=�6 A u O HC/p²â7 u�. A YC12.J=�S�= O ?�6�79D2Y\1�;>7xH O D A .4=�S�:<; A 1�7 68;IHCYC1 k 7C.0S]=2;>3H O D A .J=�S�;>=<?�7 6THCb.4Y�6�K�68; A D�H96�H O D A .J=�S�l � 1�6�U�W ` 12;>7 A O Y O =279.J?�6TH A 1�6«;>343 O YT; A . O =�;>=<?V;>? E .4=�².47 A H\; A . O = O K HC;>?2. O H9687 O D�HCY�687n;>=2? A 1�6 E O + .434. A , O K 79D + 79Y�HC. + 6THC7Tl � 1�6TH96TK O H96 k A 1�6GU�W ` 12;>7 A O:2H O b.J?�6«;>?2?2. A . O =<;>3¿K»D2=2Y A . O =<7xK O HR3 O YT; A . O =vHC6TS].47 A HC; A . O = O K£79D + 79Y�HC. + 6THC7�;>=2?�K O H A 1�6�12;>=2? O b>6TH
O K�;«Y O =2=�68Y A . O =�u 1�68= A 1�6Z79D + 79Y�H\. + 6TH¤Y\12;>=�S>687 Y�683J347Tl
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÷ éJ÷*é4÷ �<��ìfø����pï��Bí#1dê���ø��8��ê�ì�ü=�¡ê»û�$��Zø�û�ì�øî>&Ñ�F�Ï�¡��+@ �xUvW ` .47|79. E .434;IH A O ;�UvW ` l � A 796TH9b>687Z;>7n;>=¦.J= A 6TH9K»;>Y�6 + 6 A u_6T68= A 1�6F�RW�Uõ;>=2? O A 1�6TH
=�6 A u O H9/�7P79D2Y\1v;>7x;�g£W � - O H O A 126THRg$q¿UV-Zl � 1�6«�PU�W ` .47xYT;I:<; + 306 O K_H O D A .4=2S�YT;>343J7 K�H O E ;L2��68?�=�6 A u O HC/�b.J; A 1�6 � W ` ;>=2? �£� W A O ;>=�.J=2?2.0b�.4?2D2;>3 E O + .4306r7 A ; A . O =sl � 1�6TH96 E ; ,«+ 6�796Tb>6THC;>3�xUvW ` 7�.J=�;v=26 A u O H9/�.4= A 6TS>H\; A 68?ðu . A 1�UvW ` 78l � K A 126GL2�68?�=26 A u O H9/�.47«D2=2; + 346 A O Y O =<=�68Y A;>=�.4=2Y O E .J=�S�YT;>343 A O A 1�6«3 O YT;>3¡UvW ` k ?2D�6 A O ;>=v.4=2; + .J34. A , A O .4= A 6TH9H O S]; A 6 A 1�6 ¬ O E 6«q O YT; A . O =�r6TS].J7 A 6TH k ¹ ¬ q¡�)¼ k . A H O D A 687 A 1�6 Y O =2=�68Y A . O = A O A 1�6 =�6�� A �xUvW ` l � 1�6 =�6Tuþ�xUvW ` H968QD�687 A 7 A 1�6H O D A .J=�S).J=�K O H E ; A . O =ZK�H O E A 126 ¬ q¿��;>=2?nH O D A 687 A 1�6�Y O =2=�68Y A . O = A O A 1�6 E O + .4306 O H � = A 6THC=<; A . O =2;>3Wu . A YC12.4=2S ` 68= A 6TH k ¹ � W ` ¼ k�O K A 1�6|H9687 : 68Y A .0b>6RY O D2= A H , l
÷ éJ÷*é� æ�í,�¦ø��_í*ü��2ìfê�íNû±È�ø�$Nê�ëTìfø�î?& æ��¤È�+� 126 ¬ O E 6®q O YT; A . O =ò�r6TS].J7 A 6TH�Y O = A ;>.J=27«.4=�K O H E ; A . O =�; + O D AnA 1�6G68=2?òD27 6TH«;>=2?�.4?�68= A .ML<687
A 1�6PUvW ` 1 O 34?27 A 1�6PD27 6TH\7 ô YTD�H9H968= A HC6TS].47 A HC; A . O =sl � 1�6 ¬ q¡�þ;>347 O Y O = A ;>.4=27r34.J=�/7 A O A 1�6PYTD�H9H968= A3 O YT; A . O = O K A 1�6 E O + .4306$7 A ; A . O =*l � 1�6 ¬ q¿��.J7 A 1�6£Y�68= A H\;>3pH96TS].J7 A 6TH^K O HdH O D A .4=2S A O A 1�6_79D + 79Y�HC. + 6THC7K O H¤u�12.4YC1�. A 12;>7£;>? E .4=<.47 A HC; A .0b>6�H9687 : O =279. + .434. A .4687Tl � 1�6 ¬ q¡� E ;>.4= A ;>.4=27£7 O E 6): 6TH E ;>=�68= A ?2; A ;79D2Y\1�;>7 A 1�6 � = A 6THC=2; A . O =2;>3�U O + .4346rW�D + 79Y�HC. + 6TH � ?268= A . A , ¹ � UvW � ¼ O K ;>=�.4=<?2.0b�.4?2D2;>3]D<7 6TH k A 1�6rD<7 6THC7:<1 O =26�=D EZ+ 6TH k A 1�6�;>D A 1�68= A .4YT; A . O =�/>6 , k A 1�6�7CD + 79Y�HC. + 6TH\7r: 6TH E . A A 68?v7CD�:2:<306 E 68= A ;IH , 7 6TH9b�.4Y�687;>=2?�7 O E 6 A 6 E : O HC;IH , ?2; A ;�l � 126 � UvW � .47_Y O =27 A HCD2Y A 68?�K�H O E ;ZU O + .4306 ` O D2= A H , ` O ?�6 k ¹ U ` ` ¼ k;|U O + .4346�-�6 A u O H9/ ` O ?�6 k ¹ U�- ` ¼ k ;>=2?�;nU O + .4306)W�D + 79Y�HC. + 6TH � ?�68= A .MLNYT; A . O =�-�D EZ+ 6TH k ¹ UvW � ` ¼\l
÷ éJ÷*é� @®ê�ëfêJìfí<îG�_í*ü���ìfê�íNûÿÈ�ø�$Nê�ëTìfø�î?&A@F�_È�+� 126r¾).J79. A O H_q O YT; A . O =�� 6TS].47 A 6TH_Y O = A ;>.4=27 A 1�6).4=�K O H E ; A . O =«K O H A 1�6 E O + .J306 7 A ; A . O =<7 A 12; A ;IH96
YTD�H9HC68= A 3 , .4= A 1�6�UvW ` 796TH9b.JY�6�;IH968; + D A ;IHC6�= O A H96TS].47 A 6TH968?vu . A 1 A 126�U�W ` l � 1�6«: 6TH E ;>=268= A?2; A ;x;IH96 A 1�6�79; E 6£;>7 A 1�6�?2; A ;)K O D2=2?n.4= A 126 ¬ q¿�|l � 1�6_¾xq¿�ðH968Y�68.0b>687 A 1�6£?2; A ;xK O H^;):<;IH A .4YTD234;IH79D + 79Y�HC. + 6TH¤K�H O E A 1�6|79D + 79Y�HC. + 6THC7 ¬ q¡�Rl
{8}
÷ éJ÷*é�� �Gúsì��¡ø�û�ìfê�ü���ìfê�íNûÓ�Zø�û�ì�øî>&9�«ÇV�;+� 126V;>D A 1268= A .4YT; A . O =±Y�68= A 6TH�Y O = A ;>.4=27 A 1�6v.4=�K O H E ; A . O =�D27 68?±K O HG68=2Y�H , : A . O =±;>=2?ÿ;>D A 1 O ²
HC.0¢8; A . O =*l � A :2H O b�.4?�687 A 126 ¬ q¡� u . A 1v?2.Mt 6TH968= A 796 A 7 O K£:<;IHC; E 6 A 6TH\7|.4= O HC?26TH A O Y O E :<346 A 6 A 1�6;>D A 1�68= A .4YT; A . O = O KX; E O + .4306|7 A ; A . O =*l � 1�6 @ a ` ;>3 O =�S�u . A 1�68. A 1�6TH A 126 ¬ q¿� O H A 126|¾xq¿� YT;>=b>6THC.0K , O H ;>D A 1�68= A .4YT; A 6 A 126 E O + .4306P7 A ; A . O =*l
÷ éJ÷*éB �xùsú¡ê345�¦ø�û�ì�ÄTý¡ø�û�ìfê�ìÑïðÈ�ø�$Nê�ëTì�øî?& �xÄTÈC+� 126�. E :N306 E 68= A ; A . O = O K A 1�6)[ � �ÿ.J7$;ZH96834; A .0b>683 , =�6Tuj7 68YTD�H\. A , K�68; A D�H96 O K A 1�6x�RW�Uà7 , 7 A 6 E k
u 12.JYC1�.47£;>= O : A . O = A 12; A£A 1�6P=�6 A u O H9/ O : 6THC; A O HrYT;>=FY\1 OO 7 6 A O 6��6THCYT.J7 6>l � 1�6x[ � �þY O = A ;>.J=27�;>343A 1�6|796THC.4;>3s=D EZ+ 6TH\7 O K A 1�6 E O + .4306P68QD2.0: E 68= A�A 12; A .47�68. A 1�6TH)7 A O 3068= O H k ?2D�6 A O 7 O E 6Z?�6TK�68Y A .4=A 1�68.0Hr1<;IHC?�u£;IH96 k E ; , = O A + 6RD<7 68?®.4= A 1�6R=26 A u O H9/Nl
÷ é�� �D4$ø�î���ìfê�íNûE�<û¡ý±�F�<ê»û�ì�ø�û9�Nû¿ü]ø¦�sú91dëTïsëTì�ø � &Ñ��� �d�2+� 126 z : 6THC; A . O =�;>=<?�U�;>.J= A 68=2;>=<Y�6 ` 68= A 6TH k ¹ z U ` ¼ k 12;>7Z;>YTY�68797 A O + O A 1 A 1�6G�PU�W ` ;>=2?
A 1�6 � W ` l � 1�6 z U ` 12;>=2?230687|6TH9H O H E 687979;IS>687nH968Y�68.4b>68?¥K�H O E A 1�6G=�6 A u O H9/¦;>=2?�Y O = A H O 347 A 1�6A HC;�Á�Y|3 O ;>? O K A 1�6 � W ` ;>=2? A 1�6 �£� W�l
÷ é ���s� ç���ïsë�ê�ü��%�)�/���<ûdû¿ø �� HC;>=27 E .47979. O = O K¡?<; A ;�K�H O E A 126 A HC;>=27 E . A A 6TH A O A 126PH968Y�68.0b>6TH A ;I/>687�:N34;>Y�6 A 1�H O D�S]1�:<1 , 79.4YT;>3
YC1<;>=2=�68347£b�.4;«;>=F;>.0H .J= A 6TH9K»;>Y�6>l ` 1<;>=2=�68347£;IH96PH96879: O =<79. + 306�K O Hr.J= A H O ?2D2YT.J=�SZ6THCH O HC7�.4= A 1�6 A H\;>=27 ²E . A A 68?�79.0S]=2;>3Ðl @ :<1 , 79.4YT;>3¿YC12;>=2=2683¿.4?�68= A .ML<687 A 126 A HC;>=27 E .47979. O =�K�H968QD�68=2Y , ;>=2? � 5)U @ K�HC; E 6
O K�;�:<;IH A .4YTD<34;IHrU�W l
÷ é¿é»è �*ê3$�û9�%�¤ìfí���í�ê�ë�øVÈ<��ìfê�íG&Ñ� ��ÈC+� 126FW�-)�º.47�; E 68;>79D�HC6 O K)79.0S]=2;>3¤7 A H968=�S A 1òHC6834; A .0b>6 A O + ;>Y9/S>H O D2=2?�= O .J7 6>l � 1�6�HC; A . O .47
E 68;>79D2H968?�.4=�?268YT. + 68347 ¹ ? � ¼\l � K_¾x7|?�68= O A 687 A 1�6�.J=2Y O E .4=�SF79.4S]=2;>3�7 A H968=�S A 1¥.4= E .JY�H O b O 3 A 7Z;>=2?A 1�6R= O .J7 6P306Tb>683 k ;>347 O .J= E .4Y�H O b O 3 A 7 k .47�?�68= O A 68? +�, ¾)= A 1268= A 1�6ZW�-)� k .4=G?�68YT. + 68347 k .J7_S].4b>68= +�,
{8´
A 1�6RK O H E D234; HJI>KML ~I�ON�P�Q%R�S ¹UT#V6WOTYX ¼ ¹ ~ l4{�¼
� K T#V .J7^68Q�D2;>3 A O TYX k A 1268=�W�-)��68QD2;>347�¢T6TH O ¹ � ¼\l � =�;R79. A D2; A . O =«u 1�6TH96 A 126)W�-)�ð68QD2;>347�¢T6TH O A 1�679.0S]=<;>3X.47R687C7 68= A .J;>343 , D2=2.4= A 683434.0S]. + 306Z7C.4=2Y�6 A 1�6�= O .47 6�346Tb>683$7 6Tb>6TH9683 , Y O E : 6 A 687|u . A 1 A 1�6�7C.0S]=2;>3yl
� ?�68;>343 , A 126®W�-��¨.J7Z: O 79. A .0b>6 k u 12.JYC1 E 68;>=27 A 1�6®346Tb>683 O K A 1�6F79.0S]=<;>3¤.J7�S>H968; A 6TH A 12;>= A 12; A O KA 1�6«= O .4796>l � K$¾x7P.47P3068797 A 12;>=�¾x= A 1�6�W�-)�Æ.47P=�6TS]; A .0b>6>l � =v;>= , 79. A D2; A . O =�u�1�6TH96 A 1�6�W�-)� .47=�6TS]; A .0b>6)H96834.J; + 306rY O E�E D2=2.4YT; A . O =�.47$S>68=�6THC;>343 , = O A : O 7979. + 346£D<=23068797X7 A 6T:<7_;IHC6 A ;I/>68= A O .4=<Y�H968;>7 6A 1�6|7C.0S]=2;>3*306Tb>683s;>=<?N O H ?�68Y�H968;>796 A 1�6|= O .J7 6R306Tb>683s; ArA 126PH968Y�68.0b�.4=�S A 6TH E .J=2;>3yl
÷ é�� ���s� �¤í%$�ê�ü��%���/���<ûdû¿ø �@ 3 O S].4YT;>3XY\12;>=2=�683$YT;IH9HC.0687PD2796TH|?2; A ;®;>=2?v7C.0S]=2;>34.4=2S�?2; A ;�lGW�.0S]=2;>34.J=�S�?<; A ;®.47xH968QD2.0H968?VK O H
7 , =2YC12H O =2.0¢8; A . O = + 6 A u¤6T68= A 1�6 A HC;>=27 E . A A 6TH�;>=2?�H968Y�68.0b>6TH�l¥a)7 6TH�?2; A ;vY O E :2H\.47 687n79D2YC1 A 1<.4=�S]7;>7xb O .4Y�6 k K»;�� O HP6 E ;>.J3 E 687C79;IS>687Tl � 126n3 O S].JYT;>3dY\12;>=2=�683^.47 E ;I:<:�68?V.4= A O A 1�6Z:N1 , 79.4YT;>3dYC12;>=<=�683K O H A HC;>=<7 E .4797C. O =*lFq O S].4YT;>3¤YC1<;>=2=�68347n;IH96�?<.0b.J?�68?�.4= A O A u O YT; A 6TS O HC.06878l � 126 � H\;�Á�Y ` 12;>=2=�683YT; A 6TS O H , YT;IHCHC.0687|D<7 6THZ?2; A ;�;>=2? A 1�6 ` O = A H O 3 ` 1<;>=2=�683�YT; A 6TS O H , YT;IHCHC.0687|7C.0S]=2;>34.4=2S O HnY O = A H O 3?2; A ;�l
÷ é��*é»è �¤î��[Z�üv�/���<ûdû¿ø �\& æ��%��ñrÈ<��ì�ø%]©dú����¤È<��ì�ø%+@ � HC;�Á�Y ` 12;>=<=�683 k ¹ � `£¬ ¼ k YT;IH9H\.0687�79:�6T68Y\1�;>=2?�?2; A ; A H\;�Á�YIl � `£¬ 7);IHC6n;>343 O YT; A 68?�.4= A 1�6
YT;>343£7 6 A D�:ò:2H O Y�68797 A O ; E O + .J306�79D + 79Y�HC. + 6THn.4= O H\?�6TH A O :<H O b�.4?�6 + .M²â?2.4H968Y A . O =2;>3 A HC;>=27 E .J7979. O =+ 6 A u¤6T68=�; � W�;>=2?�;�U�W l @ � `�¬ YT;>=�68. A 126TH + 6|K»D2343 , D A .J34.0¢T68? +, ;�7C.4=�S]306|D<7 6TH O Hx. A YT;>= + 67 :<3J. A K O H A u O D27 6THC7r; A 12;>30K¿H\; A 6 ¹ � `£¬  ¬ ¼\l
÷ é��*é4÷ �ZíNû�ìfîfí,�r���9�<ûdû¡ø��W�.4S]=2;>34.4=�S�?2; A ;�.J7�7 68=2? A 1�H O D2S]1 A 1�6|Y O = A H O 3sYC1<;>=2=�683*K O Hr:2H O : 6TH�7 , =2YC12H O =2.0¢8; A . O = O K�;«UvW
u . A 1�; � W l�W�.4S]=2;>34.4=�SR?<; A ;n.J7_7 68= A 6Tb>68=Gu 1�68= A 1�6TH96x.47_= O 687 A ; + 34.4791�68?�;>Y A .0b>6PY O =2=�68Y A . O =sl � 1�6
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Y O = A H O 3 Y\12;>=2=�683�.47�K�D�H A 1�6TH�?2.0b�.4?�68?�.4= A O ; � H O ;>?2YT;>7 A ` 12;>=2=�683 k ¹ � ` ¼ k ; ` O E�E O = ` O = A H O 3` 12;>=<=�683 k ¹ `r`r`£¬ ¼ k ;>=2?®;�5�68?<.4YT; A 68? ` O = A H O 3 ` 12;>=2=�683 k ¹ 5 `r`£¬ ¼\l
÷ é��*é4÷*éyè §�î�í%�2ýdü��2ëTì®�/�9�Nû¡û¡ø��� 126 � W k .4= O HC?�6TH A O A HC;>=27 E . AGA 1�6¦79; E 6¥.4=�K O H E ; A . O = A O ;>3J3PU�W�7�.4=þ;ðY�68343 k D279687 A 1�6
+ H O ;>?<YT;>7 A YC1<;>=2=�683yl
{ � H O ;>?<YT;>7 A ` O = A H O 3 ` 1<;>=2=�683 ¹ � `r`£¬ ¼ � 1�6 � `r`�¬ .4=�K O H E 7 A 1�6 E O + .J306�7 A ; A . O =�; + O D A79:�68YT.0LNYF7 , 7 A 6 E :N;IHC; E 6 A 6THC7�. A H968QD2.0HC687�.4= O HC?26TH A O .J?�68= A .4K , A 1�6�=�6 A u O HC/ O H A O S];>.4=;>YTY�687C7 A O A 126¦=�6 A u O H9/�l @ 7 6THC.0687 O K�.J=�K O H E ; A . O =j68306 E 68= A 7 k u 12.JYC1ÓY\12;IHC;>Y A 6THC.0¢T6 A 1�6
O HCS];>=2.0¢8; A . O = O K A 126�HC;>?<. O =26 A u O H9/ k .47 + H O ;>?<YT;>7 A£A O A 126)UvW�l � 1�6x.4=�K O H E ; A . O =�68306 E 68= A 7Y O =<79.47 A O K�79D<YC1 A 1<.4=�S]7R;>7|HC;>?2. O Y\12;>=2=�683_Y O =�L<S]D�HC; A . O =27 k¿O K A 1�6�YTD�H9H968= A 3 , D27 68?�Y�68343_;>7u¤68343;>7^=�68.0S]1 + O H\.4=�S Y�68343J7 k 7 , =<YC1�H O =<.0¢8; A . O =n.4=�K O H E ; A . O = k K O HdK�H968QD�68=2YT.0687d;>7du_683J3�;>7dK�HC; E 6=D EZ+ 6THC.4=�S k ;>=2? A 1�6 7 A H\D2Y A D�HC;>3 O HCS];>=2.0¢8; A . O =�K O H E ; A 7 O K A 1�6 ` `r`£¬ H96834; A 68? A O A 1�6�3 O YT;>3
�£� W l � 1�6 � `r`£¬ .47 + H O ;>?2YT;>7 A O = A 126PL<HC7 A K�H968QD�68=2Y , ;>7979.0S]=�68? A O A 1�6RY�68343yl
~ c2H968Q�D268=2Y , ` O HCH968Y A . O = ` 12;>=2=�683 ¹ c `r`£¬ ¼ � =2K O H E ; A . O =�HC6834; A 68? A O K�H968QD�68=2Y , Y O H9HC68Y A . O =.J7 A HC;>=27 E . A A 68?�.J= A 1�6�c2H968Q�D268=2Y , ` O H9HC68Y A . O = ` 1<;>=2=�683 k ¹ c `r`£¬ ¼\l � 1�6�c ` `£¬ O YTYTD2HC7
O =<3 , .J= A 1�6PK�HC68Q�D�68=<Y , Y O H9HC68Y A . O = + D2HC7 A l
� W , =2Y\1�H O =2.4¢8; A . O = ` 12;>=<=�683 ¹ W `£¬ ¼£5x; A ;�K O H�K�HC; E 6|7 , =2YC1�H O =2.0¢8; A . O = O K A 126|U�W�.47 A H\;>=27 ²E . A A 68? O = A 126�W , =2Y\1�H O =2.4¢8; A . O = ` 12;>=2=�683 k ¹ W `£¬ ¼\l � 1�6�W `£¬ 79D�:<:<34.0687 A 1�6 E O + .4306Zu . A 1A 126�/>6 , O H A HC;>.4=2.J=�S�7 68QD�68=2Y�6F. A H968QD2.0HC687 A O + 6�; + 306 A O ?26 E O ?<D234; A 6 A 1�6F.4=�K O H E ; A . O =HC68Y�68.0b>68?®K�H O E A 1�6 + ;>7 6|7 A ; A . O =sl
÷ é��*é4÷*éJ÷ �Zí,�^�¥íNûj�ZíNû�ì�î�í#� �/���<ûdû¿ø �\&Ñ�����Zæ_+� 126 ` O E�E O = ` O = A H O 3 ` 12;>=<=�683 k ¹ `r`r`�¬ ¼ k 7CD�:2: O H AXA 1�6�687 A ; + 34.J791 E 68= A O K¿;n?�68?2.JYT; A 68?�34.J=�/
+ 6 A u¤6T68=�; E O + .4306PD2=2. A ;>=<?F; + ;>7 6|7 A ; A . O =*l
{�g^;IS].4=2S ` 1<;>=2=�683 ¹ g `£¬ ¼ � 1�6 + ;>7 6Z7 A ; A . O =�YT;>343J7 A 1�6�U�WFu . A 12.J=®. A 7 Y�683J3sb�.4; A 1�6�g^;IS].4=�S` 12;>=2=�683 k ¹ g `£¬ ¼\l
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~ ��;>=2? O E @ YTY�68797 ` 12;>=<=�683 ¹ � @ `r`�¬ ¼ � 1�6R� ;>=<? O E @ YTY�68797 ` 12;>=2=�683 k ¹ � @ `£¬ ¼ k .47 D27 68?+, A 126¤UvW A O H968Q�D2687 A ;x?�68?<.4YT; A 68?�YC12;>=2=2683�K�H O E A 1�6�=�6 A u O H9/ZK O H�79.4S]=2;>34.4=�S A HC;>=279;>Y A . O =27Tl
� @ YTY�68797��xHC;>= A ` 1<;>=2=�683 ¹»@ � `£¬ ¼ � 1�6 @ YTY�68797 �xHC;>= A ` 1<;>=2=�683 k ¹»@ � `£¬ ¼ k .47£D27 68? +�, A 1�6
� W A O .4=�K O H E A 1�6|UvWG; + O D A YC1<;>=2=�683s;�b�;>.43J; + 306PK O H . E�E 68?<.4; A 6P=�6T68?27Tl
÷ é��*é4÷*é�� �Føýdê�ü��2ì�ø�ýÃ�Zí�û�ì�îfí,� �/�9�Nû¡û¡ø��\& �V���næ`+� 1<.47�.47�; + .0²â?2.0H968Y A . O =<;>3N: O .4= A ² A O ²Ð: O .4= A 79.0S]=2;>34.J=�SnY\12;>=2=�683Ðl
{¥W A ;>=2? @ 3 O =�6r5)68?2.4YT; A 68? ` O = A H O 3 ` 12;>=<=�683 ¹ W�5 `r`£¬ ¼ � 1�6�W A ;>=2? @ 3 O =�6 5)68?2.4YT; A 68? ` O =�²A H O 3 ` 1<;>=2=�683 k ¹ W�5 `r`£¬ ¼ k .J7¿;)?�68?2.4YT; A 68?Z: O .4= A ² A O ²Ð: O .4= A 7C.0S]=2;>34.4=2SrYC12;>=2=2683yl � 1�6£W�5 `r`�¬.J7�D27968?�K O H)7C.0S]=2;>34.4=2S + 6 A u¤6T68=V;�UvW�;>=<?�; � W2WFu�1�68= A 126TH96n.J7 = O 687 A ; + 34.J791�68?�Y O =<=�68YѲA . O =*l @ K A 6THRY O E :N306 A . O = O K A 1�6«79.4S]=2;>34.4=�S A HC;>=279;>Y A . O = A 1�6�W�5 `r`£¬ .47)H9683468;>7 68?�;>=2?vYT;>=+ 6PH968;>7C79.0S]=�68? A O ;>= O A 1�6TH UvW�l
~ W�3 O u @ 797 O YT.4; A 68? ` O = A H O 3 ` 12;>=2=2683 ¹ W @ ` `£¬ ¼¡5x; A ;P.47^;>30u£; , 7 A HC;>=27 E . A A 68? A 1�H O D�S]1�W�3 O u@ 797 O YT.4; A 68? ` O = A H O 3 ` 1<;>=2=�683 k ¹ W @ `r`£¬ ¼\l � 126$;IH9HC.0bI;>3 O KNW @ ` `£¬ :<;>Y9/>6 A 7�.47¿Y O =�L<H E 7 A 1�66���.47 A 68=<Y�6 O K A 126 :<1 , 7C.4YT;>32HC;>?<. O Y O =2=268Y A . O =*l � 12.J7XYC12;>=<=�683N.J7$;>30u£; , 7£D27 68?�.4=�Y O =2=268Y A . O =u�. A 1F; � `£¬ O H ;�W�5 ` `£¬ l
� c<;>7 An@ 797 O YT.4; A 68? ` O = A H O 3 ` 12;>=2=�683 ¹ c @ `r`�¬ ¼ � 1�6�c<;>7 An@ 797 O YT.4; A 68? ` O = A H O 3 ` 1<;>=2=�683 k¹ c @ `r`�¬ ¼ k .47rY�H968; A 68?�K O H�;�791 O H ArA . E 6Z; A A 1�6R6���: 68=27 6 O K�D2796TH�?2; A ; A H\;>=27 : O H A .4= O H\?�6THA O 7 68=2?®79.4S]=2;>34.4=�S�?2; A ;�l � 1�6TH96TK O H96 k ;>?2?2. A . O =2;>3 + ;>=2?�u�.4? A 1G.47�Y�H968; A 68?�K O H�79.0S]=2;>34.J=�S�l
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c^.0S]D�H96 ~ l ~ l � D�H\7 A W A HCD2Y A D2H96 O Kda�:<34.J=�/�Ím¶�Î
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[_;>YC1 O K A 1�6 ~I�>� � ¬ ¢RYC12;>=<=�68347�.47£?2.0b�.4?�68?�.4= A O 68.0S]1 A¤A . E 6R793 O A 7�;>=2?FYT;IHCHC.0687£68.0S]1 A � 5xU @YC1<;>=2=�68347Tl � 1�6�68.0S]1 APA . E 6�7C3 O A 7xK O H E ; � 5xU @ K�HC; E 6>l � 1�6 � 5xU @ K�HC; E 6 O K A 1�6�D�:<34.J=�/®.47A HC;>=27 E . A A 68?Vu . A 1V;G?�6834; , O K A 1�HC6T6 A . E 6n7C3 O A 7x7 O A 12; A ;GU�W�12;>7 A O A HC;>=27 E . A ;>=2?VH968Y�68.0b>6«; A?2.Mt 6TH968= A .4=27 A ;>= A 7 k u 12.4Y\1F;8b O .4?27 A 1�6|=26T68?®K O H�;�?2D2:<306���D<=2. A l @ UvWFD279687 A 1�6|7C; E 6 A . E 6Z793 O A=D E|+ 6TH).4= A 1�6nD�:<34.4=2/�;>=2? A 1�6Z? O u =234.J=�/Nl£[$;>Y\1 A . E 6|793 O A O KX; � 5)U @ K�HC; E 6n34;>7 A 7rK O HP}]¶I´l³¸E .4Y�H O 7 68Y O =2?27�;>=<?�Y O = A ;>.4=<7�?2; A ; k u 12.4Y\1�.47«;>347 O YT;>3J3068?ð; + D�H\7 A l � 1�6 A HC;>=27 E .47979. O =¥H\; A 6�.47
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c^.0S]D2H96 ~ l°¯�l<- O H E ;>3 � D�HC7 A
÷ é�Bsé»è ��íNî��^�%�_§�ú¡î�ëTì@ = O H E ;>3 + D2HC7 A Y O =27C.47 A 7 O Ks{�¯p· + . A 7 k u�12.4YC1Z.47¿; E .M� O K2.4=�K O H E ; A . O = + . A 7¿;>=2?Z7C.0S]=2;>34.4=2S + . A 7Tl
- O H E ;>3 + D2HC7 A 7R;IH96�D27 68? A O A H\;>=27 E . A .J=�K O H E ; A . O = O = + O A 1 A H\;�Á�Y�;>=2?�Y O = A H O 3¤YC12;>=<=�68347Tl @= O H E ;>3 + D�HC7 A Y O = A ;>.4=27 ~ ´ A HC;>.4=2.4=2S)7 68QD�68=2Y�6 + . A 7 A 6TH E 68?�[_Q�D<;>34.0¢8; A . O = � . A 7Tl � 12.J7�7 68Q�D268=2Y�6r.47
O =�6 O K A 126rL2��68?�Y O EZ+ .4=2; A . O =27 O K + . A 7 A 12; A .J7�/= O u = A O A 1�6�U�W�;>=2? A 1�6 � W�l � 126r6���.J7 A 68=2Y�6 O KE D23 A .0:<; A 1�YT;>D27 687 A 1�6 O HC.4S].4=2;>3279.4S]=2;>3 A O K»;>?�6>l � 126TH96TK O HC6 k . A .47X?2.MÁ�YTD23 A�A O 6���;>Y A 3 , .J?�68= A .4K , A 1�6A HC;>=27 E . A A 68?|7C.0S]=2;>3]; A¡A 1�6$H968Y�68.4b>6TH8l � 1�6 A HC;>.4=<.4=�S + . A 7968Q�D�68=<Y�6_1�6830:N7s.4=P687 A . E ; A .4=�S A 126$YC12;>=<=�683H9687 : O =2796 k*O : A . E .0¢T6�H968Y�6T: A . O =v;>=2?�H968?2D<Y�6�.J= A 6TH ²â7 ,EZ+ O 3d.J= A 6TH9K�6TH968=2Y�6�YT;>D<7 68? +, :2H O :N;IS]; A . O =A . E 6R?<.Mt�6THC68=2Y�687�.4= A 1�6 E D23 A .0:<; A 1GY\12;>=2=�683yl � 1�6R7 A HCD2Y A D2H96 O Kd;«= O H E ;>3 + D�HC7 A .J7_:<H9687 68= A 68?®.4=c^.0S]D�H96 ~ l°¯�l
~ {
W A 68;>3J.4=�S ä ;IS + . A 7¤H9687C.4?�6 O = + O A 1 A 1�6R79.4?�687 O K A 1�6 A HC;>.4=<.4=�S�7 68Q�D268=2Y�6>l � 1�6 , YT;>=F68. A 1�6TH + 6ô { ô O H ô � ô l � 1�6 , ;IHC6n79.4S]=2;>34.4=�S + . A 7 A 1<; A .4=<?2.4YT; A 6Ru 126 A 1�6TH A 126 + D2HC7 A Y O = A ;>.4=27 A HC;�Á�Yn?2; A ; O H79.0S]=<;>34.4=�S�?<; A ;�l � 1�6n7 A 68;>34.4=�S ä ;IS + . A 7);IH96n796 A)A O ;>343 O uÆD27 6 O K$79.4=�S]346 A . E 6n793 O A 7 O K A 1�6 � `�¬u 1�68=�K»;>7 A^A HC;>=27 E .47979. O = O K�79.0S]=2;>3J.4=�Sx?2; A ; O =«;Pc @ `r`£¬ .47^H968QD2.0H968?*l � 12.47dYT;>D27 687$;P3 O 797 O K D27 6TH?2; A ;n79.4=2Y�6 A 1�687 6 A . E 6�7C3 O A 7_;IHC6 - 7 A O 3468= - K�H O E A 1�6 A H\;�Á�Y�Y\12;>=2=�683Ðl � 12.47$7 A 68;>34.4=�S O K A . E 6�7C3 O A 7S];8b>6�HC.4796 A O A 1�6�=<; E 6 - 7 A 68;>34.J=�S ä ;IS]7 - l � 1�6�7 A 68;>34.4=�S ä ;IS]7|;IH96�7 6 ARA O ô � ô K O HZ7 : 6T68YC1 A H\;�Á�Y;>=2? A O ô { ô .0K A 1�6 + D�HC7 A . A 7 A O 3068= +�, ;nc @ `r`£¬ l � =�;>?<?2. A . O = A O A 1�6)7 A 68;>34.4=2S ä ;IS]7 A 1�6TH96x;IH96 A u O+ 3 O Y9/�7 O Ks}]¶ + . A 7�68;>Y\1�Y O = A ;>.4=2.4=2S|YC12;>=<=�683M²âY O ?�68?�D2796TH$?2; A ;�l � 1�6THC6TK O H96 k A 1�6�;>Y A D<;>32b O .4Y�6)?2; A ;Y O =279.J7 A 7 O K�{>{�¯ + . A 7 O K A 1�6�{�¯p´ A O A ;>3 + . A 7 A HC;>=27 E . A A 68?*l �¡O u£;IHC? A 1�6R68=2? A 1�6TH96|;IHC6 � A ;>.43 + . A 7
O =F68;>Y\1�79.4?26 k u�12.4YC1G;IH96R796 A�A O ô � ô l � 1�6 A ;>.J3 + . A 7�;IH96PH968QD2.0H968?�K O H A 1�6R?�6 E O ?2D<34; A . O =�:2H O Y�68797Tl
� 1�6THC6R.47�;>347 O ;�S]D<;IHC?F: 6THC. O ? A 12; A 68QD2;>347r; + . A :�6TH\. O ? O KX·l ~ } + . A 7 O H �I� l°¯ E .4Y�H O 7 68Y O =2?<7Tl
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�RW�U D27 687��xU�W�� E O ?2D<34; A . O = k u 12.JYC1Ã7 A ;>=2?27�K O H��x;>D2797C.4;>=ÒUV.4=2. E D E W�12.0K A �P6 , .4=�S�l�xUvW�� E O ?<D234; A . O =�D27 687¤;n�x;>D27C79.4;>=�LN3 A 6TH$K�H O E u 12.4Y\1�. A 7$=2; E 6)u£;>7¤?26THC.0b>68?*l � 1�6 K�H968QD�68=2Y ,7 6T:<;IH\; A . O =�D A .J34.0¢T68?ò.47 A 1�6 E .4=2. E D E K�H968Q�D268=2Y , 796T:<;IHC; A . O =�H968Q�D<.0H968?òK O H A 1�6 A u O E O ?2D234; A ².4=�SF79.4S]=2;>347 A O + 6 O H A 1 O S O =2;>3 O b>6THZ;F7C.0S]=2;>34.4=2S�.4= A 6TH9bI;>3 O K¤3468=�S A 1 � l z =�6 O K A 1�6�;>?�bI;>= A ;IS>687
O Kx�PU�W�� E O ?2D23J; A . O =¥.J7 A 1<; A . A ? O 687«= O A :2H O ?2D2Y�6�;>= , .4= A 6THC7 ,�E|+ O 3¤.4= A 6THCK�6TH968=<Y�6>l��xUvW��E O ?2D234; A . O =�.47¤;ZY O = A .4=D O D27¤:<12;>796 E O ?2D234; A . O = k u 1<.4YC1�;>YC12.46Tb>687�;|S OO ?GY O E :<H O E .47 6 + 6 A u¤6T68=: O u¤6TH ;>=2? + ;>=<?�u .4? A 1�6�Á�YT.068=2Y , u 12.J306 E ;>.J= A ;>.4=<.4=�S�;«7 : 68YT.ML<68?G306Tb>683 O K � [_�Ó; ArA 1�6x6���: 68=27 6
O K O =<3 , ;�H968;>7 O =2; + 306«.4=2Y�H968;>7 6 O K¤7 , 7 A 6 E Y O E :<306���. A , Í°¸fÎÐl � 126ZH9683J; A . O = + 6 A u_6T68=�:2H96 E O ?2D234;�²A . O = + ;>=2?2u .4? A 1 k���k ;>=2? A 1�6 + . A : 6THC. O ? k�Pk ?26�LN=�687 A 1�6 + ;>=2?�u .J? A 1 O K A 1�6)7 , 7 A 6 E l¤�RW�UàD<7 687
�£� ;>7 � l � u . A 1 A 1�6 E O ?<D234; A .4=�S�7 ,EZ+ O 3sHC; A 6 O K ~ ¶ � l³· �>� � + :<7Tl g$HC. O H A O A 1�6ZL<HC7 A + . A O K A 1�6+ D�H\7 A 68= A 6TH\.4=�S A 1�6 E O ?2D234; A O H A 126 E O ?2D234; A O HXHC6879.4?�687X.J=�;>=�.4= A 6THC=2;>3<7 A ; A 6 A 1<; A H96T:2HC687 68= A 7 A 1�6E O ?2D234; A . O = O K¤; + . A 7 A H968; E Y O =279.47 A .4=�S O K_Y O =27 68YTD A .0b>6 O =�687 k ?2.d68QD2;>3 A O { k 12;>?V68= A 6THC68? A 1�6?2.Mt 6TH968= A .4;>3�68=2Y O ?�6TH8l @ K A 6TH A 1�6�3J;>7 A + . A O K A 1�6 A . E 6 7C3 O AXA 1�6 E O ?2D<34; A O HXH96 A D�H\=27 A O ;>=�.4= A 6THC=2;>37 A ; A 6 A 1<; A H96T:2H9687 68= A 7 A 1�6 E O ?2D23J; A . O = O K^; + . A 7 A H968; E Y O =279.47 A .J=�S O K¡Y O =27 68YTD A .0b>6 O =�687Tl � 1�687 6+ . A 7_;IH96�YT;>3J3068?�;>7¤?2D E�EZ,�+ . A 7X;>=<?�?�6�LN=26 A 1�6�7 A ;IH A ;>=<? A 1�6)7 A O : O K A 126�;>Y A .0b>6x;>=2? A 126�D27 6TK»D23:<;IH A O K A 1�6 + D�HC7 A ;>7r:<H9687 68= A 68?®.4=Fc^.0S]D�H96 � l4{Il
� 6TK O H96 A 126 + D�HC7 A 68= A 6TH\7 A 1�6 E O ?2D234; A O H k . A .J7�?2.Mt 6TH968= A .4;>343 , Y O ?268?*l � = A 1�6�?2.0t�6TH968= A .4;>368=2Y O ?�6TH k A 1�6P.4=2:<D A 7968Q�D�68=<Y�6R?[b¤Í ��k {ÑΡ.J7¤Y O ?�68?F.4= A O ?[b_Í ²C{ k {ÑÎ k u 12.4Y\1G.47�7 68= A¤A O A 126 E O ?<D234; A O H8l� 1�6R;>34S O HC. A 1 E D27968? +�, A 1�6|?<.Mt�6THC68= A .4;>3�68=2Y O ?�6TH).47£S].0b>68= +,cd�b L d�b%efd�b3g Rihkj%lnm�l d�b5o ¹ � p {�¼ ¹ � l4{�¼
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c^.0S]D�HC6 � l4{IlN�r683J; A . O = + 6 A u¤6T68= @ Y A .0b>6|g^;IH A O K � D�HC7 A k2� ;>.43 � . A 7r;>=2?F5xD E�EZ, � . A 7
� 126 E O ?<D234; A .4=�S�?2; A ;«bI;>34D�6 k#q b k A 12; A .47 .4=�:<D A¤A O A 1�6 E O ?<D234; A O Hr.47q b L {sr ~ cd b q b o ¹ r|{ p6t {�¼ ¹ � l ~ ¼
� 126Z?2.Mt 6TH968= A .4;>343 , 68=2Y O ?�68?V7 68Q�D268=2Y�6n.J7 A 1�68=V;I:2:<3J.068? A O A 1�6«�P;>D27979.4;>=®LN3 A 6THx.4= A 126 E O ?�²D234; A O H�l � 1�6f�xUvW�� E O ?2D23J; A O Hr.47�:2H9687968= A 68?®.J=Fcd.4S]D�H96 � l ~ l
cd.4S]D�H96 � l ~ l��xUvW��U O ?2D234; A . O =
~ ¯
� 126Z�x;>D27979.J;>=®3 O ur²Ð:<;>797£LN3 A 6THr12;>7r;>=®. E :<D2347 6)H9687 : O =2796PS].0b>68= +, A 1�6|K O 343 O u .4=2Sn68QD2; A . O =Q ¹3u ¼ L {~�v wyx.z
~={}|k~ u ri� �� N3�¿~5� r x.z~={}|k~ u t � �� N3�¿~5��� ¹ � l � ¼
� 1�6P68QD2; A . O = ¹ � l � ¼�.47 A H\D�6PK O H
���M|k~�v��F�ij1�6TH96nw ¹�A ¼ k A 1�6nw�²âc2D<=2Y A . O =FS].0b>68= +�,x
¹3u ¼ Li� {� ~ l���� ¹ r � �~ ¼ d � ¹ � l°¯�¼|k~ .47 A 1�6 + ;>=2?2u .4? A 1 O K A 1�6�3 O uÏ:<;>797)LN3 A 6THR1<;8b�.4=�S®;��x;>D27C79.4;>=v7912;I: 68?v7 : 68Y A HCD E l � .47 A 1�6+ . A : 6THC. O ?G;>=2? |�� L |k~�v ¹ � l³}]¼
.47 A 1�6F= O H E ;>34.0¢T68? + ;>=2?�u .J? A 1*l � 1�6G. E :<D23J7 6�H9687 : O =2796 O K A 1�6��x;>D27979.J;>=�3 O u�²Ð:<;>7C7|L�3 A 6TH«12;>7A O + 6 A HCD2=2YT; A 68?v;>=2?�79YT;>3468?v;>YTY O HC?2.4=�S A O A 126 �s� b�;>34D26 k A O 68=279D�H96 A 12; APA 1�6�6�t 68Y A O K_7C.4=�S]306{F:<;>7C79.4=�S A 1�H O D2S]1 A 1�6FLN3 A 6TH�.47�;v:N12;>7 6®YC1<;>=�S>6 O K {  ~ l � 1�6 A HCD2=2YT; A 68?ðLN3 A 6TH«H96879: O =<7 6®.47H96T:2HC687 68= A 68?®S>HC;I:<12.4YT;>3J3 , .4= A 126PK O 343 O u .4=2S�c^.0S]D2H96 � l � l
c^.0S]D2H96 � l � l � HCD2=2YT; A 68?�;>=2?�W�YT;>3068?®� 687 : O =27 6 O K A 1�6n�x;>D<7979.4;>=®q O u�²Ð:N;>797rc^.43 A 6TH8lJÍM{ � Î
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� = O HC?�6TH A O .43J34D27 A HC; A 6 E O ?2D234; A . O =�:2H O Y�68?2D�HC6 k Y O =<79.4?�6TH A 1�6PK O 343 O u .4=�Sn7 68Q�D268=2Y�6 k u 12.JYC1�H96�²: 68; A 7r;IK A 6TH 6Tb>6TH , { ~ + . A 7Tl{ k { k ²C{ k { k { k ²C{ k ²C{ k { k ²C{ k { k ²C{ k ²C{ k { k { k ²C{ k { k { k ²C{ k ²C{ k { k ²C{ k { k ²C{ k ²C{P²�²X²
� 1�6 + 6TS].4=2=2.4=2S O K A 12.47¤?2; A ;n7 A H968; E YT;>= + 6)H96T:2HC687 68= A 68?�S>HC;I:<1<.4YT;>343 , l � 1�6�S>HC;I:<12.JYT;>32H96T:2HC687 68=�²A ; A . O =�.47£:2H9687 68= A 68?®.4=Fc^.0S]D2H96 � l°¯�l
c^.0S]D�H96 � l°¯�lN5); A ;GW A H968; E � 68.J=�S�W68= A � 1�H O D2S]1 A 1�6Rc^.43 A 6TH
� 126xL<HC7 A K�6TuB�x;>D27C79.4;>=F7912;I: 68?G:<D<347 687�;IH96RHC6T:2H9687 68= A 68?FS>HC;I:<1<.4YT;>343 , .4= A 1�6Rc^.0S]D�H96 � l³}l
cd.4S]D�H96 � l³}l � =2?2.0b�.4?2D<;>3 W�1<;I:�68?Gg_D2347 687r� 6T:2H9687 68= A .4=�S A 1�6Z5); A ;GW A H968; E
� 126V.4=<?2.0b�.4?2D2;>3£7912;I: 68?�:<D2347 687�;IH96�;>?2?�68? A O S>6 A 1�6TH A O , .46834?ÿ;¥K»D2=2Y A . O = + ¹�A ¼ k u 1<.4YC1±.47H96T:2HC687 68= A 68?®S>HC;I:<12.4YT;>3J3 , .4= A 126Rcd.4S]D�H96 � l³´l
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c^.0S]D2H96 � l³´l�W A H968; E O K � . A 7 @ ?2?268? @ K A 6TH g^;>7979.J=�S � 1�H O D2S]1 A 1�6|c^.43 A 6TH k + ¹�A ¼
� 126rK�D<=2Y A . O = k + ¹�A ¼ k .47$.4= A 6TS>H\; A 68? k u�. A 1«H9687 : 68Y AXA O A . E 6 k A O , .06834?�;PK»D2=2Y A . O =�Y ¹�A ¼X;>7¤791 O u =.4= A 1�6Zcd.4S]D�H9687 � l̶�l
c^.0S]D�HC6 � l̶�l � = A 6TS>HC; A 68?�W A H968; E O K � . A 7 k Y ¹�A ¼
� 126 � =ò:<1<;>7 6®7 68QD�68=2Y�6 k£� ¹�A ¼ k ;>=2? A 126�wxD2;>?�HC; A D2H96F:<12;>7 6F7 68QD�68=2Y�6�w ¹�A ¼�;IH96 O + A ;>.4=�68?K�H O E Y ¹�A ¼£u�1�6TH96 �
¹3u ¼ LG� PO� � ¹3u ¼ ¹ � l³´]¼
~ ¶
;>=2? x¹3u ¼ L ���U� � ¹3u ¼ ¹ � l̶>¼
� 126nwxD2;>?�H\; A D�H96R;>=2? � =�:<12;>7 6|7968Q�D�68=<Y�6RK�D<=2Y A . O =27r;IHC6|:2H9687968= A 68?�.4=®c^.0S]D�H9687 � l³·�;>=2? � l³¸H9687 : 68Y A .0b>683 , l
c^.0S]D�H96 � l³·l*wxD2;>?�HC; A D2H96Pg$12;>7 6�W68Q�D268=2Y�6Zw ¹�A ¼
c^.0S]D2H96 � l³¸l � =G:<12;>7 6ZW�68Q�D�68=<Y�6 � ¹�A ¼
� 12687 6 A u O K»D2=2Y A . O =27 � ¹�A ¼�;>=2?�w ¹�A ¼�;IH96�:<;>797 68? A 1�H O D2S]1 A 126 � Â>w E O ?2D234; A O H k u 12.JYC1�:2H O ²?2D2Y�687P;>= O D A :<D A K»D2=2Y A . O = E ¹�A ¼\l � 1�6 O D A :ND A O K A 1�6 � Â>w E O ?2D234; A O HP.47x:<H9687 68= A 68?v.4=�cd.4S]D�H96
~ ·
� l³¸l � 1�6 O D A :<D A O K A 1�6 � Â>w E O ?2D23J; A O Hr.47�S].0b>68= +,� ¹3u ¼ L ���U� ¹ ~={*�=� u ¼ � ¹3u ¼ t � PO� ¹ ~={*�=� u ¼ x ¹3u ¼ ¹ � l³·]¼
u 1�6THC6)K � .47 A 1�6PYT;IH9HC.06TH�K�H968QD�68=2Y , D27968?�;>7 A 1�6 O 79YT.43434; A O H�l � 1�6�LN=2;>3 O D A :<D A O K A 1�6 E O ?<D234; A O H ku 12.JYC1F.47r7968= A�A 1�H O D�S]1 A 1�6|Y\12;>=2=�683 k .47£:2H9687 68= A 68?®.4=�cd.4S]D�H96 � l4{ �
c^.0S]D�H96 � l4{ � l cd.J=2;>3 z D A :<D A O K A 1�6|U O ?2D234; A O H
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� 126 + ;>79.4YnY O E : O =�68= A 7|;>797 O YT.4; A 68?vu . A 1V;��RW�U A HC;>=27 E . A A 6THR;>=2?�H968Y�68.0b>6THR;IHC6«:2H9687 68= A 68?.4=vc^.0S]D�HC6«¯�l4{Il � 12687 6 + 3 O Y9/�7R;IH96�. E :<306 E 68= A 68?v.4= O HC?26TH A O A HC;>=<7 E . A ;>=2?�H968Y�68.0b>6�?2; A ;®u . A 1A 1�6|3468;>7 A : O 7979. + 346)=D EZ+ 6TH O K^6TH9H O HC7Tl
cd.4S]D�H96P¯�l4{Il � ;>79.JY � 3 O YC/7 .4=F;��RW�UÉW , 7 A 6 E
séyè<é»è � í�ú¿î�ü]ø��Pû¿üpí*ýdê»û�$^�<û¡ýÃ�84Xøøü��ÿçRî�í*ü]ø�ë�ë�ê»û9$¬ D E ;>=�b O .4Y�6V.J7�;>=±;>=2;>3 O Sò79.0S]=2;>3yl � Kxb O .4Y�6V.J7 A HC;>=27 E . A A 68?ÿu . A 1 O D A YC12;>=�S>6�.4=ð;>=<;>3 O S
K O H E ; A . A u O D234?®H968Q�D<.0H96P;>=�;>= A 68=2=2;�7C.0¢T6 A 12; A .J7r. E : O 7979. + 306 A O Y O =27 A HCD<Y A l ¬ 68=2Y�6 A 1�6|;>=<;>3 O S79.0S]=<;>3$.47 E O ?2D234; A 68? O HnY O =�b>6TH A 68? A O ;�?2.4S]. A ;>3$79.4S]=2;>3$D27C.4=�S�;>= @ 5 Y O =�b>6TH A 6TH8l � 1�6�?<.0S]. A ;>3?2; A ;n.47 A 1�68= A H\;>=27 E . A A 68?�;IK A 6TH E O ?<D234; A . O =*l � 1�687 6 @ 5Ã;>=2?�5 @ Y O =�b>6TH A 6THC7�;IHC6)=�68Y�687C79;IH , K O H;�u O H9/I; + 306 E O ?�6THC=¦Y O E�E D2=<.4YT; A . O =�7 , 7 A 6 E l ¬ O u¤6Tb>6TH k A 1�6G7 , 7 A 6 E 791 O D23J?�12;8b>6F;V7 , 7 A 6 E k7 A HCD<Y A D�H96 O HGYT;I:N; + .434. A , A 12; A H968?2D2Y�687 A 1�6�H968?2D<=2?2;>=2Y , .4= A HC;>=27 E .47979. O =sl ¬ D E ;>=ÿ68;IHC7FYT;>=: 6THCY�68.0b>6�7 O D<=2? O =23 , K�H O E ~I� ¬ ¢ A O�~I� � ¬ ¢>l ¬ O u¤6Tb>6TH k A 126 , ;IH96«HC687 : O =279.0b>6 A O K�H968Q�D268=2YT.0687+ 6 A u¤6T68= ~I�>� ¬ ¢®;>=2?�}>´ �>� ¬ ¢>l ¬ 68=<Y�6®;>343 A 1�6G6�� A 6THC=<;>3�7 O D2=2?27�= O A .4= A 12.J7 + ;>=2? E D27 A + 6LN3 A 6THC68?*l�U O 7 A�A 68306T:<1 O =�6®7 , 7 A 6 E 7�12;�b>6�; + ;>=2?2u .4? A 1 A 12; A .47«3J. E . A 68? A O A 1�6�HC;>=�S>6 O K �I�>�
�I�
¬ ¢ A O®� ¯ �>� ¬ ¢ k u 1<.4YC1VYT;IH9HC.0687 E O 7 A 1D E ;>=�b O .4Y�6>l � =V;>?2?2. A . O = k A 1�6THC6n;IH96�;�3 O A O K$:<;>D27 687).4=1D E ;>=�7 : 6T68YC1*l � 1�68796�:<;>D<7 687 E D27 A + 6�?26 A 68Y A 68?�;>=2? A HC;>=27 E .J7979. O =�7C1 O D234? + 6 A 6 E : O HC;IHC.J3 ,7 A O :2: 68?*lÿ�|W�Uá6 E :<3 O , 7«¾ O .4Y�6 @ Y A .4b. A , 5)6 A 68Y A O H k ¹ ¾ @ 5R¼ k u 12.4Y\1ð?�6 A 68Y A 7 A 1�6®:<;>D279687�;>=2??2.47CY O = A .4=D�687 A 126 A HC;>=27 E .47979. O =sl � 12.47|.47R;>347 O YT;>343068?�;>7n?2.479Y O = A .4=D O D27 A HC;>=<7 E .4797C. O = k ¹ 5 �s� ¼\l� 1�6«683J. E .4=2; A . O = O K£:<;>D<7 687R.4=v7 : 6T68Y\1¦Y O =27 A . A D A 687|7 : 6T68Y\1�Y O E :2H9687C79. O =�;>=2? A ;I/>687|:<3J;>Y�6�.4=�;7 : 6T68YC1�Y O ?�6TH8l � 1�6��RW�U¨7 : 6T68Y\1ZY O ?�6TH�D27 687d; :<H O Y�68?<D�H96X/�= O u�=n;>7^� 6TS]D234;IH^g$D234796$[���YT. A ; A . O =Z²q O =2S � 6TH E g$H968?2.4Y A . O = k ¹ ��g$[�²âq � g£¼ k u 1<.4YC1�.47$;nq¿.4=268;IH_gXHC68?2.4Y A .0b>6 ` O ?�6TH k ¹ q¿g ` ¼\l � 12.J7X� g_[�²q � gð:<H O Y�68?<D�H96 + 683 O =�S]7 A O ;«K»; E .43 , O K^1 ,+ HC.4?G7 : 6T68Y\1�Y O ?�6THC7TlX��; A 1�6TH A 12;>=®Y O E :2H9687979.J=�S A 1�67 : 6T68YC1�?2; A ;G.4=V;G7 A HC;>.0S]1 A K O H9u¤;IH\? E ;>=2=�6TH k A 1�6n68=2Y O ?�6TH E O ?268347 A 126�1D E ;>=�b O YT;>3 A HC;>Y A ;>=2?S>68=�6THC; A 687 A 1�6G:<;IHC; E 6 A 6THC7 A 1<; A ;IHC6G=268Y�687979;IH , A O HC68Y�H968; A 6 A 1�6F7 O D2=2?�; A«A 1�6GH968Y�68.0b>6TH�l � 1�67 O D�H\Y�6R68=2Y O ?�6TH ;>=2? A 1�6Z7 : 6T68YC1F:2H O Y�68797 O Hru_6THC6|= O A . E :<306 E 68= A 68?F.4=FU @ � q @ � lséyè<é4÷ �/���<û¡û¡ø �_�Pû¡ü]í*ý^ê�û�$
` 1<;>=2=�683 ` O ?2.4=�S�;>?2?27£HC68?2D2=2?2;>=<Y , A O A 1�6R?<; A ;�7 A H968; E .4= O HC?�6TH A O 68=<; + 306R?�6 A 68Y A . O =�;>=2?Y O H9H968Y A . O = O K A HC;>=27 E .47979. O =®6TH9H O HC7Tl � 126ZYC1<;>=2=�683d68=2Y O ?�6TH)? O 687 + 3 O Y9/�Y O ?2.J=�S k + O A 1 ` O =�b O 34D�²A . O =2;>3�Y O ?2.4=�S|;>=<?�.J= A 6THC3468;8b�.4=�S k K O H£6TH9H O H¤:2H O A 68Y A . O =G;>=2?�Y O H9H968Y A . O =*l z =�6 + 3 O Y9/ O K¿;ZK�D<343M²ÐHC; A 67 : 6T68YC1vY O ?�68Y�Y O =<79.47 A 7 O K ~ ´ � + . A 7 O K£7 : 6T68YC1v?2; A ;�l @ K�D23J3M²ÐHC; A 6�7 : 6T68YC1�Y O ?�68Y + 3 O Y9/VY O = A ;>.J=27
~ ´ � .4=�K O H E ; A . O = + . A 7 k u 12.4Y\1 E D27 A + 6 68=2Y O ?�68?*l � 12687 6 ~ ´ � + . A 7¤;IH96xYT34;>7979.0L<68?�.4= A O YT34;>797 �\k A 1�6L<HC7 A {8· ~ + . A 7 k ;>=<?nYT3J;>797 �9�\k A 1�6£34;>7 A ¶I· + . A 7Tl ` 34;>797 � + . A 7¡12;�b>6 E O H96£7 68=279. A .0b>6¤79:�6T68Y\1�?2; A ; A 12;>=YT34;>797 �9� + . A 7Tl � 1�6TH96TK O H96 k + 6 A A 6THX:<H O A 68Y A . O =�7C1 O D234? + 6�:2H O b.J?�68?�K O H_YT34;>797 � + . A 78l�W: 6T68Y\1 + . A 7 O KYT34;>797 �9� ;IH96Z3468797 . E : O H A ;>= A l � 1�6TH96TK O H96 k A 1�6 , ;IH96|6���YT34D2?268?®K�H O E ` O =�b O 34D A . O =2;>3sY O ?2.4=�S�l�5xD�6A O A 1�6«bI;IHC.4; A . O =�.4= A 1�6�. E : O H A ;>=2Y�6 O K + . A 7 k A 1�6�YT34;>797 687 O K + . A 7x;IH96�Y O ?�68?v;>YTY O HC?<.4=�S]3 , l � 1�6YT34;>797 � + . A 7�;IHC6nK»D�H A 126TH�S>HC;>?268?V.J= A O YT34;>797 � ; k A 1�6|LNHC7 A } � + . A 7x;>=2?VYT34;>797 � + k A 126n34;>7 A { �>~ + . A 7Tl
� 1�6PYT34;>7C7 � ; + . A 7�;IH96R79D + e 68Y A 68? A O ; ` , YT34.4Y)�r68?<D2=2?2;>=2Y , ` 1�68YC/ k u 1<.4YC1G.47�;>347 O A 6TH E 68? + 3 O Y9/Y O ?2.4=�S�l � 126RYC12;>=2=2683*Y O ?2.J=�S«:2H O Y�68?2D�H96P.47£:<H9687 68= A 68?�.4= + 3 O YC/�K O H E .4=Fc^.0S]D2H96P¯�l ~ l
� {
cd.4S]D�H96P¯�l ~ l ` 12;>=2=�683 ` O ?2.4=�S«.4=��|W�Uséyè<é4÷*éyè §D��í*ü�7þ�Zí*ýdê»û�$� 126«L<HC7 A } � YT34;>797 � ; + . A 7RD2=2?26TH9S O + 3 O Y9/�Y O ?2.4=�SFK O H|6TH9H O H|:2H O A 68Y A . O =*l � 1�6 + 3 O Y9/�Y O ?�6 k
u 12.JYC1®.47 ;�Y , YT34.4YRY O ?�6 k ;>?<?27 � + . A 7r; A A 126|68=2?®;IK A 6TH):�6THCK O H E .4=�S«;�Y , YT34.4YPHC68?2D2=2?2;>=<Y , YC1268Y9/ k¹ ` � ` ¼ k2O K A 1�6RYT3J;>797 � ; + . A 7Tl � 126RY , YT34.JYPY O ?�6Z.47�?�6�LN=�68? +, A 1�6P: O 3 , = O E .4;>3Q ¹ � ¼ L �#� t � t { ¹ ¯�l4{�¼
� 1�6 ` � ` + . A 7r;>?2?�68? A O A 1�6ZYT34;>797 � ; + . A 7r;IH96n;>347 O YC1�68YC/>68?v; A A 1�6ZH968Y�68.0b>6TH)68=2?*l � K A 1�6 ` � `+ . A 7 ;IH96|= O A�A 1�6|79; E 6 k . A E 68;>=<7 A 12; ArA 126TH96Z.47 ;>=®6TH9H O H�;>=2? A 1�6 A HC;>=27 E . A A 68?�?2; A ;�7C1 O D234? + 6H96 A HC;>=<7 E . A A 68?*lséyè<é4÷*éJ÷ �Zí�û,�Ní,��ú¿ìfê�íNû��%� �Zí*ý^ê»û9$
@ K A 6TH ` � ` 68=<Y O ?2.J=�S O K A 1�6�YT3J;>797 � ; + . A 7 A 1�6 , ;IH96�Y O =<YT; A 68=2; A 68?òu . A 1 A 126�{ �>~ YT3J;>797 � ++ . A 7x;>=2?VK O D�H A ;>.43 + . A ¢T6TH O 7 k u 1<.4YC1VH96879D<3 A 7x.4=�;F7 A H968; E O K�{8·>¸ + . A 7Tl � 1�6F{8·>¸f² + . A 7 A H968; E .477 68= A|A O A 1�6 ` O =�b O 34D A . O =2;>3�68=2Y O ?�6TH8l � 1�6 ` O =pb O 34D A . O =2;>3X68=<Y O ?�6THn.47RD27968?�K O HZ.4= A 6THC=2;>3�6THCH O HY O H9H968Y A . O =*l_c O H�6Tb>6TH , /F.4=�:<D A + . A 7 A 1�6 ` O =�b O 34D A . O =2;>3s68=2Y O ?26THr:2H O ?2D2Y�687�= O D A :<D A + . A 78l � 1�6HC; A 6 O K A 1�6«68=<Y O ?�6THn.47P?�6�LN=268? +�, A 1�6«HC; A . O®O K¤.J=�:<D A + . A 7 A O�O D A :<D A + . A 7 k u 12.JYC1v.47P/2Â�=*l � =�RW�U k A 1�6�HC; A . O .47Z?�6�LN=�68?¥;>7�l � 12; A .47 A 126G�RW�U ` O =pb O 3JD A . O =2;>3$68=2Y O ?26THZ:2H O ?2D<Y�687 ~ + . A 7
�>~
K O Hr6Tb>6TH , .4=�:ND A + . A l � 1�6 O D A :<D A + . A 7 ?�6T: 68=2?F= O A O =23 , O = A 126|YTD�H9H968= A .4=�:ND A + . A + D A ;>347 O�O =:2H96Tb�. O D27^.4=2:<D A + . A 7Tl � 1�6�=�D E|+ 6TH O K<:<H96Tb. O D27^.4=�:<D A + . A 7 k u 12.4Y\1ZS O b>6THC= A 126 O D A :<D A k .47 A 6TH E 68?A 1�6�Y O =<7 A HC;>.4= A 3068=�S A 1*l � =¦�RW�U k A 126�Y O =27 A HC;>.J= A 3068=2S A 1�.47|}l ` O =pb O 34D A . O =2;>3XY O ?�687RYT;>=¥;>347 O+ 6�?�6�LN=268?�D279.4=2S®7912.0K A H96TS].47 A 6THC7|;>=2?¦S>68=�6THC; A O H�: O 3 , = O E .4;>3yl � 1�6�=D EZ+ 6TH O Kr7912.0K A H96TS].47 A 6THC7H968QD2.0H968?F.J7£S].0b>68= +, A 126P68Q�D2; A . O =� P��9� u mO� �U� u N l �8Q u j L�I�� ��� lnm PO�`� j ��� u m�l Q���� u l�m ��t { ¹ ¯�l ~ ¼
� 126P68=2Y O ?<.4=�S«79YC126 E 6|.47r?26�LN=�68?F;>7rK O 343 O u 7Tl` 3J;>797 � + . A 7�;IH96R68=<Y O ?�68?®u . A 1F12;>30K¡HC; A 6 ` O =�b O 34D A . O =2;>3sY O ?�687r?�6�LN=268? +�, : O 3 , = O E .4;>3
� L { tf¡ � t�¡;¢ ¹ ¯�l � ¼
;>=2? { L { tf¡£tf¡ � tf¡¤¢ ¹ ¯�l°¯�¼
� 126RY O ?�68? + . A 7 ` ¹ � ¼ k ` ¹ {�¼ k ` ¹ ~ ¼)l0l0l0l0l0l0l0l0l ` ¹ ¯p}>}]¼r;IH96 A 1�68=®?26�LN=�68? +,` 3J;>797 � h2c O H / L � A O {8·>·� ¹ ~O¥ ¼ LG� ¹ ¥ ¼ t � ¹ ¥ r � ¼ t � ¹ ¥ r�¯�¼ ¹ ¯�l³}]¼
� ¹ ~O¥¦t {�¼ LG� ¹ ¥ ¼ t � ¹ ¥ rÿ{�¼ t � ¹ ¥ r � ¼ t � ¹ ¥ r�¯�¼ ¹ ¯�l³´]¼
� ¹ ¥ ¼ L �O§¨P m ¥<©�� ¹ ¯�l̶>¼
�>�
` 3J;>797 �9� h<c O H / L � A O ¶>¶ � ¹ � ¶I· t�¥ ¼ L ¡ ¹ {8· ~ªt�¥ ¼ ¹ ¯�l³·]¼
` O =�b O 34D A . O =<;>3 ` O ?2.4=�S O K ` 3J;>797 � 7 : 6T68YC1 + . A 7 O = A 1�6ZK�D<343M²ÐHC; A 6R7 : 6T68Y\1�Y\12;>=2=�683¿S>68=�6THC; A 687 � ¶I·+ . A 78l � 1�6�¶I· + . A 7 O K ` 34;>797 �9� ;IHC6�= O A 68=2Y O ?�68?�; A ;>343 k u�12.4YC1�HC6879D23 A 7R.J=v; A O A ;>3 O K£¯p}>´ + . A 7Tl
� 12.J7P.47 A 1�6�D2=<.0K O H Eã+ 3 O YC/V7C.0¢T6«H968QD2.0H968?�K O H E ;I:2:N.4=�S A 1�6�?2; A ; + 3 O Y9/�7 O = A O A 1�6 + D�H\7 A u . A 1{>{�¯ + . A 7).4=F68;>YC1 + D�HC7 A l � 126|U @ � q @ � K»D2=2Y A . O =�Y O =pb>68=2Y ¹ ¼�u£;>7)D27 68?�K O H A 1�6 ` O =pb O 34D A . O =2;>368=2Y O ?2.4=�S�l � 1�6 A H9683434.J7¤7 A HCD2Y A D�H96Pu£;>7r7 6 A +�, A 1�6 A H9683J34.47¤K�D<=2Y A . O =*lséyè<é4÷*é�� Ä8û�ì�øî=��ø�� �¿ê�û�$
� 126G?<; A ; + 3 O Y9/�7«;IH96®7 :2H968;>? O b>6TH�=D EZ+ 6TH O K + D�HC7 A 78l¥5xD�6 A O A 12.47 k A 1�6G6TH9H O HC7«;>3J7 O S>6 A?2.47 A HC. + D A 68?sl � 1D27 A 1�6 =D EZ+ 6TH O K 6TH9H O HC7�: 6TH$?<; A ; + 3 O Y9/�.47�HC68?2D2Y�68? k u 12.4Y\1«YT;>= + 6 E D2YC1 E O H9668;>79.43 , Y O H9H968Y A 68?sl � 1�6�H9687 A HCD<Y A D�HC.4=�SG;>=2?v.4= A 6THC3068;�b.J=�SF.47x: 6TH9K O H E 68?�.4=�;>YTY O HC?2;>=2Y�6�u�. A 1 A 1�6;>30S O HC. A 1 E � ¹ |¤p�« ¼ L�� ¹ �Jp¬¥ ¼ §¦P m ¥ L � u P ¯p}>} ¹ ¯�l³¸]¼
� L � p { pn I p I t { pn ¹ ¯�l4{ � ¼
« L ~ ¹ ¹ ¯p¸ ¥ ¼ � P d }]¶>¼ t ¹ ¹ ¥ � P d ·]¼ d �U® ¯�¼ ¹ ¯�l4{>{�¼
� 126�H9687CD23 A O K A 1�6P.4= A 6THC3068;8b�.4=�S�.47£;n?2.47 A HC. + D A . O = O K A 1�6xH96 O HC?�6THC68?�¯p}>´ + . A 7 O Kd;nS].0b>68=G?2; A ;+ 3 O Y9/ k = L - k*O b>6TH�· + 3 O Y9/�7RD279.4=2S�6Tb>68=¥=�D E|+ 6TH968? + . A 7 O K A 126«L<HC7 A K O D�H + 3 O YC/7 kd� L �£�>t¯]- tÞ��k { k³~k³�k ;>=2? O ?2?�=D E|+ 6TH968? + . A 7 O K A 1�6«34;>7 A ¯ + 3 O YC/7 ks� L �£��t ¯]- t ¯ k } k ´ k ¶�l � 1�6H96 O HC?26TH968? + . A 7 O K A 1�6�K O 343 O u .4=�S®?2; A ; + 3 O Y9/ k = L - t { k D27 6 A 126�6Tb>68=�=�D EZ+ 6TH968? + . A 7 O K A 1�6+ 3 O Y9/�7 k�� L �¤��t ¯]- t ¯ k } k ´ k ¶ k u 1<.4YC1�;IH96 A 126Z79; E 6�;>7 � L �¤��t ¯ ¹ - t {�¼ tÏ��k { k³~k³�k ;>=2?A 1�6 O ?<?¥=D EZ+ 6THC68? + . A 7 O K A 1�6 + 3 O YC/ � L �£�_t ¯ ¹ - t {�¼ t ¯ k } k ´ k ¶�l ` O = A .4=D2.4=�S�u . A 1 A 1�6
� ¯
=�6�� A ?2; A ; + 3 O YC/7 791 O u�7 A 12; A O =26 + 3 O Y9/G;>30u£; , 7�YT;IH9H\.0687 }]¶ + . A 7 O K�?2; A ;«K�H O E O =�6Z?2; A ; + 3 O Y9/ k= L - k ;>=2?�}]¶ + . A 7 O K�?2; A ;�K�H O E =�6�� A ?2; A ; + 3 O Y9/ k = L - t { k u 1�6THC6 A 1�6 + . A 7�K�H O E A 1�6Z?2; A ;+ 3 O Y9/vu�. A 1 A 1�6G12.0S]1�6THZ=�D EZ+ 6THZ;>30u£; , 7�;IH96 A 126�6Tb>68=ò=�D E|+ 6TH968?¥?2; A ; + . A 7R;>=2? A 1 O 7 6 O K A 1�6?2; A ; + 3 O YC/�u�. A 1 A 1�6|3 O u_6TH�=�D EZ+ 6THr;IH96 A 1�6 O ?2?F=D EZ+ 6TH968? + . A 7Tl
� 1<.47 A , : 6 O Kd.4= A 6TH\3068;8b�.4=�S�.47 A 6TH E 68? + 3 O YC/�?2.4;IS O =<;>3�.J= A 6THC3468;8b�.4=�Snu 1�6TH96P;�=�6TuÓ?2; A ; + 3 O Y9/7 A ;IH A 7®6Tb>6TH , ¯ A 1 + 3 O Y9/ÿ;>=<?þ.47G?2.47 A HC. + D A 68? O b>6TH�· + 3 O YC/7Tl � 1�6v.4= A 6THC3068;�b.J=�S�.J7G:2H9687 68= A 68?S>HC;I:<1<.4YT;>343 , .J=Fcd.4S]D�H96P¯�l � l
cd.4S]D�H96P¯�l � l � 3 O Y9/F5x.4;IS O =2;>3 � = A 6THC3068;�b.4=2S O K � `£¬ Â�cXW
� 126¤.4= A 6THC3068;�b.J=�S�;>30S O H\. A 1 E u¤;>7dHCD2=Z.4=nU @ � q @ � .4= O HC?�6TH A O ?�6 A 6TH E .4=26 A 1�6 + . A : O 7C. A . O =27Tl
� 1�6 + . A : O 7C. A . O =27)u¤6TH96�7 A O H968?�.J=v.4= A 6TH\3068;8b>6«L�306 E l � 1�6 E LN346nHC68Q�D2.4H968?V¯p}>´ + . A 7P;>7Z.4=�:<D A kY O ?�68?�?2; A ; k ;>=2? , .06834?�68?v.J= A 6THC3468;8b>68?�²â?2; A ; O D A :<D A ;>7|K O D2H + 3 O Y9/�7RY O = A ;>.J=2.4=�S�{>{�¯ + . A 7P68;>Y\1*l¬ 6TH96n.J7 A 1�6 + 3 O Y9/F?2.4;IS>HC; E O KXYC1<;>=2=�683¿Y O ?2.4=2S�;>=2?V.4= A 6TH\3068;8b�.4=�S O HCS];>=2.0¢8; A . O = O K A 1�6|K»D2343sHC; A 6A HC;�Á�YxY\12;>=2=�683yl � 126).4= A 6THC3068;�b.J=�SZ:<H O Y�687C7 O K A 1�6)K�D23J3<HC; A 6PY\12;>=2=�683 .47_:2H9687 68= A 68?F.4=�c^.0S]D�H96)¯�l°¯�l
� }
c^.0S]D�HC6P¯�l°¯�l � = A 6THC3468;8b�.4=�S O K^c2D2343s��; A 6 � HC;�Á�Y ` 1<;>=2=�683
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