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Another Idea           -/Formal DefinitionsConsider a set N of n items consisting of at most d positive (used to be called defective) items with the others being negative (used to be called good) items. A group test, sometimes called a pool, can be applied to an arbitrary set S of items with two possible outcomes; negative: all items in S are negative; positive: at least one positive item in S, not knowing which or how many.p;C%&  !!!! !!!&Adaptive (Sequential) and Non-adaptive''Can you see the difference between the above two ways in finding the answer? The first one (adaptive or sequential): You ask the second question (query) after knowing the answer of the first one and continue & . That is, the previous knowledge will be used later. The second one (non-adaptive): You can ask all the questions (queries) at the same time.baZ B >,.Save Money or Time4 MAn adaptive (sequential) algorithm conducts the tests one by one and the outcomes of all previous tests can be used to set up the later test. (Save money!?) A non-adaptive algorithm specifies a set of tests in advance so that they can be conducted simultaneously; thus forbidding using the information of previous tests. (Save time!)tNZ6 !O[!<   Blood TestingAIDS Tests (World war II)>  ! One by one  %Red is positive and Black is negative&!!!!   Keep going  More positives (72 tests), Test a group at one time Some group is negative! They are done! $Save a lot of Money! (Adaptive Idea)"% Non-adaptive Algorithm _VIncidence Matrix44 An Example Let M = [mi,j] be a txn matrix mentioned above. Then we can use n sets (ordered) Si s to represent the matrix where Sk = {i : mi,k = 1, i = 1, 2, & , t}, k = 1, 2, & , n. The following sets represent a (0,1)-matrix: {1,2,3}, {4,5,6}, {7,8,9}, {1,4,7}, {2,5,8}, {3,6,9}, {1,5,9}, {2,6,7}, {3,4,8}, {1,6,8}, {2,4,9}, {3,5,7}. (Have you seen this collection of sets before?)u8-  E % 'b :#55,Can we find positives from the above matrix?--Yes, we can if the number of positives is not too many, say at most 2, by running the 9 tests simultaneously corresponding to rows. The reason is that the union of (at most) 2 columns can not contain any other distinct column. (?)bDN;66)d-separable and d-disjunct matrices**  A matrix is d-separable if D D for any two distinct d-sets D and D (columns), i.e. no two unions of d columns are the same. A matrix is d-disjunct if no column is contained in the union of any other d columns. L s A A88Important FactsA d-disjunct matrix is also a d-separable matrix. A d-disjunct matrix can be applied to find k ( d) positives. Proof. The union of k ( d) columns corresponds to distinct outcome vector. d-disjunct matrices have a simple decoding algorithm, namely, a column is positive if and only if it does not appear in a negative row. pZOZZZ2. F (  ~77 Class Note (A design is a pair (X,B) where X is a v-set and B is a collection of subsets of X. So, the matrix mentioned above can be viewed as a design. A design defined on a v-set can be viewed as a binary code of length v. 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̙33y___PPT10Y+D=' = @B +  0 ^Z(  \R \ s *@p~ \ s *Y  Y !F   \  BN    \   T KP0  \#   Z \ s * TB \B c $DKpTB  \ c $D0pZ2  \ s *p 0 Z2  \ s * `0 Z2  \ s *PJT KP0   \#   Z \ s * TB \B c $DKpTB \ c $D0pZ2 \ s *p 0 Z2 \ s * `0 Z2 \ s *PJT KP0  \#   Z \ s * TB \B c $DKpTB \ c $D0pZ2 \ s *p 0 Z2 \ s * `0 Z2 \ s *PJ N ; P \ 0 E ` T KP0  \# `Z \ s * TB \B c $DKpTB \ c $D0pZ2  \ s *p 0 Z2 !\ s * `0 Z2 "\ s *PJT KP0  #\# + pZ $\ s * TB %\B c $DKpTB &\ c $D0pZ2 '\ s *p 0 Z2 (\ s * `0 Z2 )\ s *PJT KP0  *\# ;  Z +\ s * TB ,\B c $DKpTB -\ c $D0pZ2 .\ s *p 0 Z2 /\ s * `0 Z2 0\ s *PJT KP0  1\#  PZ 2\ s * TB 3\B c $DKpTB 4\ c $D0pZ2 5\ s *p 0 Z2 6\ s * `0 Z2 7\ s *PJ N KPP0  8\  f KP0  9\S KP0 Z :\ s * ZB ;\B s *DKpZB <\ s *D0pZ2 =\ s *p 0 Z2 >\ s * `0 Z2 ?\ s *PJf KP0  @\S ;P0 Z A\ s * ZB B\B s *DKpZB C\ s *D0pZ2 D\ s *p 0 Z2 E\ s * `0 Z2 F\ s *PJf KP0  G\S +Pp0 Z H\ s * ZB I\B s *DKpZB J\ s *D0pZ2 K\ s *p 0 Z2 L\ s * `0 Z2 M\ s *PJf KP0  N\S P`0 Z O\ s * ZB P\B s *DKpZB Q\ s *D0pZ2 R\ s *p 0 Z2 S\ s * `0 Z2 T\ s *PJf KP0  U\S  PP0 Z V\ s * ZB W\B s *DKpZB X\ s *D0pZ2 Y\ s *p 0 Z2 Z\ s * `0 Z2 [\ s *PJ!F   \\ BN    ]\   T KP0  ^\#   Z _\ s * TB `\B c $DKpTB a\ c $D0pZ2 b\ s *p 0 Z2 c\ s * `0 Z2 d\ s *PJT KP0  e\#   Z f\ s * TB g\B c $DKpTB h\ c $D0pZ2 i\ s *p 0 Z2 j\ s * `0 Z2 k\ s *PJT KP0  l\#   Z m\ s * TB n\B c $DKpTB o\ c $D0pZ2 p\ s *p 0 Z2 q\ s * `0 Z2 r\ s *PJ N ; P s\ 0 E ` T KP0  t\# `Z u\ s * TB v\B c $DKpTB w\ c $D0pZ2 x\ s *p 0 Z2 y\ s * `0 Z2 z\ s *PJT KP0  {\# + pZ |\ s * TB }\B c $DKpTB ~\ c $D0pZ2 \ s *p 0 Z2 \ s * `0 Z2 \ s *PJT KP0  \# ;  Z \ s * TB \B c $DKpTB \ c $D0pZ2 \ s *p 0 Z2 \ s * `0 Z2 \ s *PJT KP0  \#  PZ \ s * TB \B c $DKpTB \ c $D0pZ2 \ s *p 0 Z2 \ s * `0 Z2 \ s *PJ N KPP0  \  f KP0  \S KP0 Z \ s * ZB \B s *DKpZB \ s *D0pZ2 \ s *p 0 Z2 \ s * `0 Z2 \ s *PJf KP0  \S ;P0 Z \ s * ZB \B s *DKpZB \ s *D0pZ2 \ s *p 0 Z2 \ s * `0 Z2 \ s *PJf KP0  \S +Pp0 Z \ s * ZB \B s *DKpZB \ s *D0pZ2 \ s *p 0 Z2 \ s * `0 Z2 \ s *PJf KP0  \S P`0 Z \ s * ZB \B s *DKpZB \ s *D0pZ2 \ s *p 0 Z2 \ s * `0 Z2 \ s *PJf KP0  \S  PP0 Z \ s * ZB \B s *DKpZB \ s *D0pZ2 \ s *p 0 Z2 \ s * `0 Z2 \ s *PJ@L    \# T KP0  \#   Z \ s * TB \B c $DKpTB \ c $D0pZ2 \ s *p 0 Z2 \ s * `0 Z2 \ s *PJT KP0  \#   Z \ s * TB \B c $DKpTB \ c $D0pZ2 \ s *p 0 Z2 \ s * `0 Z2 \ s *PJT KP0  \#   Z \ s * TB \B c $DKpTB \ c $D0pZ2 \ s *p 0 Z2 \ s * `0 Z2 \ s *PJ L ; P \# `0E@T KP0  \# `Z \ s * TB \B c $DKpTB \ c $D0pZ2 \ s *p 0 Z2 \ s * `0 Z2 \ s *PJT KP0  \# + pZ \ s * TB \B c $DKpTB \ c $D0pZ2 \ s *p 0 Z2 \ s * `0 Z2 \ s *PJT KP0  \# ;  Z \ s * TB \B c $DKpTB \ c $D0pZ2 \ s *p 0 Z2 \ s * `0 Z2 \ s *PJT KP0  \#  PZ \ s * TB \B c $DKpTB \ c $D0pZ2 \ s *p 0 Z2 \ s * `0 Z2 \ s *PJ^ KP0  \S Z \ s * ZB \B s *DKpZB \ s *D0pZ2 \ s *p 0 Z2 \ s * `0 Z2 \ s *PJ^ KP0  \S Z \ s * ZB \B s *DKpZB \ s *D0pZ2 \ s *p 0 Z2 \ s * `0 Z2 \ s *PJ^ KP0  \S Z \ s * ZB \B s *DKpZB \ s *D0pZ2 \ s *p 0 Z2 \ s * `0 Z2 \ s *PJ^ KP0  \S Z \ s * ZB \B s *DKpZB \ s *D0pZ2 ] s *p 0 Z2 ] s * `0 Z2 ] s *PJ^ KP0  ]S Z ] s * ZB ]B s *DKpZB ] s *D0pZ2 ] s *p 0 Z2 ] s * `0 Z2  ] s *PJ!F    ]   BN     ]   T KP0   ]#   Z  ] s * TB ]B c $DKpTB ] c $D0pZ2 ] s *p 0 Z2 ] s * `0 Z2 ] s *PJT KP0  ]#   Z ] s * TB ]B c $DKpTB ] c $D0pZ2 ] s *p 0 Z2 ] s * `0 Z2 ] s *PJT KP0  ]#   Z ] s * TB ]B c $DKpTB ] c $D0pZ2 ] s *p 0 Z2 ] s * `0 Z2  ] s *PJ N ; P !] 0 E ` T KP0  "]# `Z #] s * TB $]B c $DKpTB %] c $D0pZ2 &] s *p 0 Z2 '] s * `0 Z2 (] s *PJT KP0  )]# + pZ *] s * TB +]B c $DKpTB ,] c $D0pZ2 -] s *p 0 Z2 .] s * `0 Z2 /] s *PJT KP0  0]# ;  Z 1] s * TB 2]B c $DKpTB 3] c $D0pZ2 4] s *p 0 Z2 5] s * `0 Z2 6] s *PJT KP0  7]#  PZ 8] s * TB 9]B c $DKpTB :] c $D0pZ2 ;] s *p 0 Z2 <] s * `0 Z2 =] s *PJ N KPP0  >]  f KP0  ?]S KP0 Z @] s * ZB A]B s *DKpZB B] s *D0pZ2 C] s *p 0 Z2 D] s * `0 Z2 E] s *PJf KP0  F]S ;P0 Z G] s * ZB H]B s *DKpZB I] s *D0pZ2 J] s *p 0 Z2 K] s * `0 Z2 L] s *PJf KP0  M]S +Pp0 Z N] s * ZB O]B s *DKpZB P] s *D0pZ2 Q] s *p 0 Z2 R] s * `0 Z2 S] s *PJf KP0  T]S P`0 Z U] s * ZB V]B s *DKpZB W] s *D0pZ2 X] s *p 0 Z2 Y] s * `0 Z2 Z] s *PJf KP0  []S  PP0 Z \] s * ZB ]]B s *DKpZB ^] s *D0pZ2 _] s *p 0 Z2 `] s * `0 Z2 a] s *PJ!F   b]   BN    c]   T KP0  d]#   Z e] s * TB f]B c $DKpTB g] c $D0pZ2 h] s *p 0 Z2 i] s * `0 Z2 j] s *PJT KP0  k]#   Z l] s * TB m]B c $DKpTB n] c $D0pZ2 o] s *p 0 Z2 p] s * `0 Z2 q] s *PJT KP0  r]#   Z s] s * TB t]B c $DKpTB u] c $D0pZ2 v] s *p 0 Z2 w] s * `0 Z2 x] s *PJ N ; P y] 0 E ` T KP0  z]# `Z {] s * TB |]B c $DKpTB }] c $D0pZ2 ~] s *p 0 Z2 ] s * `0 Z2 ] s *PJT KP0  ]# + pZ ] s * TB ]B c $DKpTB ] c $D0pZ2 ] s *p 0 Z2 ] s * `0 Z2 ] s *PJT KP0  ]# ;  Z ] s * TB ]B c $DKpTB ] c $D0pZ2 ] s *p 0 Z2 ] s * `0 Z2 ] s *PJT KP0  ]#  PZ ] s * TB ]B c $DKpTB ] c $D0pZ2 ] s *p 0 Z2 ] s * `0 Z2 ] s *PJ N KPP0  ]  f KP0  ]S KP0 Z ] s * ZB ]B s *DKpZB ] s *D0pZ2 ] s *p 0 Z2 ] s * `0 Z2 ] s *PJf KP0  ]S ;P0 Z ] s * ZB ]B s *DKpZB ] s *D0pZ2 ] s *p 0 Z2 ] s * `0 Z2 ] s *PJf KP0  ]S +Pp0 Z ] s * ZB ]B s *DKpZB ] s *D0pZ2 ] s *p 0 Z2 ] s * `0 Z2 ] s *PJf KP0  ]S P`0 Z ] s * ZB ]B s *DKpZB ] s *D0pZ2 ] s *p 0 Z2 ] s * `0 Z2 ] s *PJf KP0  ]S  PP0 Z ] s * ZB ]B s *DKpZB ] s *D0pZ2 ] s *p 0 Z2 ] s * `0 Z2 ] s *PJ!F   ]   BN    ]   T KP0  ]#   Z ] s * TB ]B c $DKpTB ] c $D0pZ2 ] s *p 0 Z2 ] s * `0 Z2 ] s *PJT KP0  ]#   Z ] s * TB ]B c $DKpTB ] c $D0pZ2 ] s *p 0 Z2 ] s * `0 Z2 ] s *PJT KP0  ]#   Z ] s * TB ]B c $DKpTB ] c $D0pZ2 ] s *p 0 Z2 ] s * `0 Z2 ] s *PJ N ; P ] 0 E ` T KP0  ]# `Z ] s * TB ]B c $DKpTB ] c $D0pZ2 ] s *p 0 Z2 ] s * `0 Z2 ] s *PJT KP0  ]# + pZ ] s * TB ]B c $DKpTB ] c $D0pZ2 ] s *p 0 Z2 ] s * `0 Z2 ] s *PJT KP0  ]# ;  Z ] s * TB ]B c $DKpTB ] c $D0pZ2 ] s *p 0 Z2 ] s * `0 Z2 ] s *PJT KP0  ]#  PZ ] s * TB ]B c $DKpTB ] c $D0pZ2 ] s *p 0 Z2 ] s * `0 Z2 ] s *PJ N KPP0  ]  f KP0  ]S KP0 Z ] s * ZB ]B s *DKpZB ] s *D0pZ2 ] s *p 0 Z2 ] s * `0 Z2 ] s *PJf KP0  ]S ;P0 Z ] s * ZB ]B s *DKpZB ] s *D0pZ2 ] s *p 0 Z2 ] s * `0 Z2 ] s *PJf KP0  ]S +Pp0 Z ] s * ZB ]B s *DKpZB ^ s *D0pZ2 ^ s *p 0 Z2 ^ s * `0 Z2 ^ s *PJf KP0  ^S P`0 Z ^ s * ZB ^B s *DKpZB ^ s *D0pZ2 ^ s *p 0 Z2  ^ s * `0 Z2  ^ s *PJf KP0   ^S  PP0 Z  ^ s * ZB  ^B s *DKpZB ^ s *D0pZ2 ^ s *p 0 Z2 ^ s * `0 Z2 ^ s *PJ ^ s ]0e0e `P  ] H \ 0޽h ? ̙33y___PPT10Y+D=' = @B +  0 bZ(  `R ` s *Fv~ ` s *4]  ] !F   `  BN    `   T KP0  `#   Z ` s * TB `B c $DKpTB  ` c $D0pZ2  ` s *p 0 Z2  ` s * `0 Z2  ` s *PJT KP0   `#   Z ` s * TB `B c $DKpTB ` c $D0pZ2 ` s *p 0 Z2 ` s * `0 Z2 ` s *PJT KP0  `#   Z ` s * TB `B c $DKpTB ` c $D0pZ2 ` s *p 0 Z2 ` s * `0 Z2 ` s *PJ N ; P ` 0 E ` T KP0  `# `Z ` s * TB `B c $DKpTB ` c $D0pZ2  ` s *p 0 Z2 !` s * `0 Z2 "` s *PJT KP0  #`# + pZ $` s * TB %`B c $DKpTB &` c $D0pZ2 '` s *p 0 Z2 (` s * `0 Z2 )` s *PJT KP0  *`# ;  Z +` s * TB ,`B c $DKpTB -` c $D0pZ2 .` s *p 0 Z2 /` s * `0 Z2 0` s *PJT KP0  1`#  PZ 2` s * TB 3`B c $DKpTB 4` c $D0pZ2 5` s *p 0 Z2 6` s * `0 Z2 7` s *PJ N KPP0  8`  f KP0  9`S KP0 Z :` s * ZB ;`B s *DKpZB <` s *D0pZ2 =` s *p 0 Z2 >` s * `0 Z2 ?` s *PJf KP0  @`S ;P0 Z A` s * ZB B`B s *DKpZB C` s *D0pZ2 D` s *p 0 Z2 E` s * `0 Z2 F` s *PJf KP0  G`S +Pp0 Z H` s * ZB I`B s *DKpZB J` s *D0pZ2 K` s *p 0 Z2 L` s * `0 Z2 M` s *PJf KP0  N`S P`0 Z O` s * ZB P`B s *DKpZB Q` s *D0pZ2 R` s *p 0 Z2 S` s * `0 Z2 T` s *PJf KP0  U`S  PP0 Z V` s * ZB W`B s *DKpZB X` s *D0pZ2 Y` s *p 0 Z2 Z` s * `0 Z2 [` s *PJ!F   \` BN    ]`   T KP0  ^`#   Z _` s * TB ``B c $DKpTB a` c $D0pZ2 b` s *p 0 Z2 c` s * `0 Z2 d` s *PJT KP0  e`#   Z f` s * TB g`B c $DKpTB h` c $D0pZ2 i` s *p 0 Z2 j` s * `0 Z2 k` s *PJT KP0  l`#   Z m` s * TB n`B c $DKpTB o` c $D0pZ2 p` s *p 0 Z2 q` s * `0 Z2 r` s *PJ N ; P s` 0 E ` T KP0  t`# `Z u` s * TB v`B c $DKpTB w` c $D0pZ2 x` s *p 0 Z2 y` s * `0 Z2 z` s *PJT KP0  {`# + pZ |` s * TB }`B c $DKpTB ~` c $D0pZ2 ` s *p 0 Z2 ` s * `0 Z2 ` s *PJT KP0  `# ;  Z ` s * TB `B c $DKpTB ` c $D0pZ2 ` s *p 0 Z2 ` s * `0 Z2 ` s *PJT KP0  `#  PZ ` s * TB `B c $DKpTB ` c $D0pZ2 ` s *p 0 Z2 ` s * `0 Z2 ` s *PJ N KPP0  `  f KP0  `S KP0 Z ` s * ZB `B s *DKpZB ` s *D0pZ2 ` s *p 0 Z2 ` s * `0 Z2 ` s *PJf KP0  `S ;P0 Z ` s * ZB `B s *DKpZB ` s *D0pZ2 ` s *p 0 Z2 ` s * `0 Z2 ` s *PJf KP0  `S +Pp0 Z ` s * ZB `B s *DKpZB ` s *D0pZ2 ` s *p 0 Z2 ` s * `0 Z2 ` s *PJf KP0  `S P`0 Z ` s * ZB `B s *DKpZB ` s *D0pZ2 ` s *p 0 Z2 ` s * `0 Z2 ` s *PJf KP0  `S  PP0 Z ` s * ZB `B s *DKpZB ` s *D0pZ2 ` s *p 0 Z2 ` s * `0 Z2 ` s *PJ@L    `# T KP0  `#   Z ` s * TB `B c $DKpTB ` c $D0pZ2 ` s *p 0 Z2 ` s * `0 Z2 ` s *PJT KP0  `#   Z ` s * TB `B c $DKpTB ` c $D0pZ2 ` s *p 0 Z2 ` s * `0 Z2 ` s *PJT KP0  `#   Z ` s * TB `B c $DKpTB ` c $D0pZ2 ` s *p 0 Z2 ` s * `0 Z2 ` s *PJ L ; P `# f0EFT KP0  `# `Z ` s * TB `B c $DKpTB ` c $D0pZ2 ` s *p 0 Z2 ` s * `0 Z2 ` s *PJT KP0  `# + pZ ` s * TB `B c $DKpTB ` c $D0pZ2 ` s *p 0 Z2 ` s * `0 Z2 ` s *PJT KP0  `# ;  Z ` s * TB `B c $DKpTB ` c $D0pZ2 ` s *p 0 Z2 ` s * `0 Z2 ` s *PJT KP0  `#  PZ ` s * TB `B c $DKpTB ` c $D0pZ2 ` s *p 0 Z2 ` s * `0 Z2 ` s *PJ^ KP0  `S Z ` s * ZB `B s *DKpZB ` s *D0pZ2 ` s *p 0 Z2 ` s * `0 Z2 ` s *PJ^ KP0  `S Z ` s * ZB `B s *DKpZB ` s *D0pZ2 ` s *p 0 Z2 ` s * `0 Z2 ` s *PJ^ KP0  `S Z ` s * ZB `B s *DKpZB 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*D0pZ2 Qa s *p 0 Z2 Ra s * `0 Z2 Sa s *PJf KP0  TaS P`0 Z Ua s * ZB VaB s *DKpZB Wa s *D0pZ2 Xa s *p 0 Z2 Ya s * `0 Z2 Za s *PJf KP0  [aS  PP0 Z \a s * ZB ]aB s *DKpZB ^a s *D0pZ2 _a s *p 0 Z2 `a s * `0 Z2 aa s *PJ!F   ba   BN    ca   T KP0  da#   Z ea s * TB faB c $DKpTB ga c $D0pZ2 ha s *p 0 Z2 ia s * `0 Z2 ja s *PJT KP0  ka#   Z la s * TB maB c $DKpTB na c $D0pZ2 oa s *p 0 Z2 pa s * `0 Z2 qa s *PJT KP0  ra#   Z sa s * TB taB c $DKpTB ua c $D0pZ2 va s *p 0 Z2 wa s * `0 Z2 xa s *PJ N ; P ya 0 E ` T KP0  za# `Z {a s * TB |aB c $DKpTB }a c $D0pZ2 ~a s *p 0 Z2 a s * `0 Z2 a s *PJT KP0  a# + pZ a s * TB aB c $DKpTB a c $D0pZ2 a s *p 0 Z2 a s * `0 Z2 a s *PJT KP0  a# ;  Z a s * TB aB c $DKpTB a c $D0pZ2 a s *p 0 Z2 a s * `0 Z2 a s *PJT KP0  a#  PZ a s * TB aB c $DKpTB a c $D0pZ2 a s *p 0 Z2 a s * `0 Z2 a s *PJ N KPP0  a  f KP0  aS KP0 Z a s * ZB aB s *DKpZB a s *D0pZ2 a s *p 0 Z2 a s * `0 Z2 a s *PJf KP0  aS ;P0 Z a s * ZB aB s *DKpZB a s *D0pZ2 a s *p 0 Z2 a s * `0 Z2 a s *PJf KP0  aS +Pp0 Z a s * ZB aB s *DKpZB a s *D0pZ2 a s *p 0 Z2 a s * `0 Z2 a s *PJf KP0  aS P`0 Z a s * ZB aB s *DKpZB a s *D0pZ2 a s *p 0 Z2 a s * `0 Z2 a s *PJf KP0  aS  PP0 Z a s * ZB aB s *DKpZB a s *D0pZ2 a s *p 0 Z2 a s * `0 Z2 a s *PJ!F   a   BN    a   T KP0  a#   Z a s * TB aB c $DKpTB a c $D0pZ2 a s *p 0 Z2 a s * `0 Z2 a s *PJT KP0  a#   Z a s * TB aB c $DKpTB a c $D0pZ2 a s *p 0 Z2 a s * `0 Z2 a s *PJT KP0  a#   Z a s * TB aB c $DKpTB a c $D0pZ2 a s *p 0 Z2 a s * `0 Z2 a s *PJ N ; P a 0 E ` T KP0  a# `Z a s * TB aB c $DKpTB a c $D0pZ2 a s *p 0 Z2 a s * `0 Z2 a s *PJT KP0  a# + pZ a s * TB aB c $DKpTB a c $D0pZ2 a s *p 0 Z2 a s * `0 Z2 a s *PJT KP0  a# ;  Z a s * TB aB c $DKpTB a c $D0pZ2 a s *p 0 Z2 a s * `0 Z2 a s *PJT KP0  a#  PZ a s * TB aB c $DKpTB a c $D0pZ2 a s *p 0 Z2 a s * `0 Z2 a s *PJ N KPP0  a  f KP0  aS KP0 Z a s * ZB aB s *DKpZB a s *D0pZ2 a s *p 0 Z2 a s * `0 Z2 a s *PJf KP0  aS ;P0 Z a s * ZB aB s *DKpZB a s *D0pZ2 a s *p 0 Z2 a s * `0 Z2 a s *PJf KP0  aS +Pp0 Z a s * ZB aB s *DKpZB b s *D0pZ2 b s *p 0 Z2 b s * `0 Z2 b s *PJf KP0  bS P`0 Z b s * ZB bB s *DKpZB b s *D0pZ2 b s *p 0 Z2  b s * `0 Z2  b s *PJf KP0   bS  PP0 Z  b s * ZB  bB s *DKpZB b s *D0pZ2 b s *p 0 Z2 b s * `0 Z2 b s *PJ b s +`0e0e `P  ` H ` 0޽h ? ̙33y___PPT10Y+D=' = @B +  0 &p  f(  dR d s *Fv~ d s *2`  ` !F   d  BN    d   T KP0  d#   Z d s * TB dB c $DKpTB  d c $D0pZ2  d s *p 0 Z2  d s * `0 Z2  d s *PJT KP0   d#   Z d s * TB dB c $DKpTB d c $D0pZ2 d s *p 0 Z2 d s * `0 Z2 d s *PJT KP0  d#   Z d s * TB dB c $DKpTB d c $D0pZ2 d s *p 0 Z2 d s * `0 Z2 d s *PJ N ; P d 0 E ` T KP0  d# `Z d s * TB dB c $DKpTB d c $D0pZ2  d s *p 0 Z2 !d s * `0 Z2 "d s *PJT KP0  #d# + pZ $d s * TB %dB c $DKpTB &d c $D0pZ2 'd s *p 0 Z2 (d s * `0 Z2 )d s *PJT KP0  *d# ;  Z +d s * TB ,dB c $DKpTB -d c $D0pZ2 .d s *p 0 Z2 /d s * `0 Z2 0d s *PJT KP0  1d#  PZ 2d s * TB 3dB c $DKpTB 4d c $D0pZ2 5d s *p 0 Z2 6d s * `0 Z2 7d s *PJ N KPP0  8d  f KP0  9dS KP0 Z :d s * ZB ;dB s *DKpZB d s * `0 Z2 ?d s *PJf KP0  @dS ;P0 Z Ad s * ZB BdB s *DKpZB Cd s *D0pZ2 Dd s *p 0 Z2 Ed s * `0 Z2 Fd s *PJf KP0  GdS +Pp0 Z Hd s * ZB IdB s *DKpZB Jd s *D0pZ2 Kd s *p 0 Z2 Ld s * `0 Z2 Md s *PJf KP0  NdS P`0 Z Od s * ZB PdB s *DKpZB Qd s *D0pZ2 Rd s *p 0 Z2 Sd s * `0 Z2 Td s *PJf KP0  UdS  PP0 Z Vd s * ZB WdB s *DKpZB Xd s *D0pZ2 Yd s *p 0 Z2 Zd s * `0 Z2 [d s *PJ@L    \d# T KP0  ]d#   Z ^d s * TB _dB c $DKpTB `d c $D0pZ2 ad s *p 0 Z2 bd s * `0 Z2 cd s *PJT KP0  dd#   Z ed s * TB fdB c $DKpTB gd c $D0pZ2 hd s *p 0 Z2 id s * `0 Z2 jd s *PJT KP0  kd#   Z ld s * TB mdB c $DKpTB nd c $D0pZ2 od s *p 0 Z2 pd s * `0 Z2 qd s *PJL KP0  rd# f`FZ sd s * TB tdB c $DKpTB ud c $D0pZ2 vd s *p 0 Z2 wd s * `0 Z2 xd s *PJL KP0  yd# f+pFZ zd s * TB {dB c $DKpTB |d c $D0pZ2 }d s *p 0 Z2 ~d s * `0 Z2 d s *PJL KP0  d# f;FZ d s * TB dB c $DKpTB d c $D0pZ2 d s *p 0 Z2 d s * `0 Z2 d s *PJL KP0  d# f PFZ d s * TB dB c $DKpTB d c $D0pZ2 d s *p 0 Z2 d s * `0 Z2 d s *PJ^ KP0  dS  Z d s * ZB dB s *DKpZB d s *D0pZ2 d s *p 0 Z2 d s * `0 Z2 d s *PJ^ KP0  dS Z d s * ZB dB s *DKpZB d s *D0pZ2 d s *p 0 Z2 d s * `0 Z2 d s *PJ^ KP0  dS Z d s * ZB dB s *DKpZB d s *D0pZ2 d s *p 0 Z2 d s * `0 Z2 d s *PJ^ KP0  dS Z d s * ZB dB s *DKpZB d s *D0pZ2 d s *p 0 Z2 d s * `0 Z2 d s *PJ^ KP0  dS Z d s * ZB dB s *DKpZB d s *D0pZ2 d s *p 0 Z2 d s * `0 Z2 d s *PJ@L    d# T KP0  d#   Z d s * TB dB c $DKpTB d c $D0pZ2 d s *p 0 Z2 d s * `0 Z2 d s *PJT KP0  d#   Z d s * TB dB c $DKpTB d c $D0pZ2 d s *p 0 Z2 d s * `0 Z2 d s *PJT KP0  d#   Z d s * TB dB c $DKpTB d c $D0pZ2 d s *p 0 Z2 d s * `0 Z2 d s *PJL KP0  d# fUFZ d s * TB dB c $DKpTB d c $D0pZ2 d s *p 0 Z2 d s * `0 Z2 d s *PJL KP0  d# f eFZ d s * ZB dB s *DKpZB d s *D0pZ2 d s *p 0 Z2 d s * `0 Z2 d s *PJL KP0  d# f0uFZ d s * TB dB c $DKpTB d c $D0pZ2 d s *p 0 Z2 d s * `0 Z2 d s *PJL KP0  d# fEFZ d s * TB dB c $DKpTB d c $D0pZ2 d s *p 0 Z2 d s * `0 Z2 d s *PJ^ KP0  dS Z d s * ZB dB s *DKpZB d s *D0pZ2 d s *p 0 Z2 d s * `0 Z2 d s *PJ^ KP0  dS Z d s * ZB dB s *DKpZB d s *D0pZ2 d s *p 0 Z2 d s * `0 Z2 d s *PJ^ KP0  dS Z d s * ZB dB s *DKpZB d s *D0pZ2 d s *p 0 Z2 d s * `0 Z2 d s *PJ^ KP0  dS Z d s * ZB dB s *DKpZB d s *D0pZ2 d s *p 0 Z2 d s * `0 Z2 d s *PJ^ KP0  dS Z e s * ZB eB s *DKpZB e s *D0pZ2 e s *p 0 Z2 e s * `0 Z2 e s *PJ!F   e   BN    e   T KP0  e#   Z  e s * TB  eB c $DKpTB  e c $D0pZ2  e s *p 0 Z2  e s * `0 Z2 e s *PJT KP0  e#   Z e s * TB eB c $DKpTB e c $D0pZ2 e s *p 0 Z2 e s * `0 Z2 e s *PJT KP0  e#   Z e s * TB eB c $DKpTB e c $D0pZ2 e s *p 0 Z2 e s * `0 Z2 e s *PJ N ; P e 0 E ` T KP0  e# `Z e s * TB  eB c $DKpTB !e c $D0pZ2 "e s *p 0 Z2 #e s * `0 Z2 $e s *PJT KP0  %e# + pZ &e s * TB 'eB c $DKpTB (e c $D0pZ2 )e s *p 0 Z2 *e s * `0 Z2 +e s *PJT KP0  ,e# ;  Z -e s * TB .eB c $DKpTB /e c $D0pZ2 0e s *p 0 Z2 1e s * `0 Z2 2e s *PJT KP0  3e#  PZ 4e s * TB 5eB c $DKpTB 6e c $D0pZ2 7e s *p 0 Z2 8e s * `0 Z2 9e s *PJ N KPP0  :e  f KP0  ;eS KP0 Z e s *D0pZ2 ?e s *p 0 Z2 @e s * `0 Z2 Ae s *PJf KP0  BeS ;P0 Z Ce s * ZB DeB s *DKpZB Ee s *D0pZ2 Fe s *p 0 Z2 Ge s * `0 Z2 He s *PJf KP0  IeS +Pp0 Z Je s * ZB KeB s *DKpZB Le s *D0pZ2 Me s *p 0 Z2 Ne s * `0 Z2 Oe s *PJf KP0  PeS P`0 Z Qe s * ZB ReB s *DKpZB Se s *D0pZ2 Te s *p 0 Z2 Ue s * `0 Z2 Ve s *PJf KP0  WeS  PP0 Z Xe s * ZB YeB s *DKpZB Ze s *D0pZ2 [e s *p 0 Z2 \e s * `0 Z2 ]e s *PJ@L    ^e#  T KP0  _e#   Z `e s * TB aeB c $DKpTB be c $D0pZ2 ce s *p 0 Z2 de s * `0 Z2 ee s *PJT KP0  fe#   Z ge s * TB heB c $DKpTB ie c $D0pZ2 je s *p 0 Z2 ke s * `0 Z2 le s *PJT KP0  me#   Z ne s * TB oeB c $DKpTB pe c $D0pZ2 qe s *p 0 Z2 re s * `0 Z2 se s *PJL KP0  te# F 0 & Z ue s * TB veB c $DKpTB we c $D0pZ2 xe s *p 0 Z2 ye s * `0 Z2 ze s *PJL KP0  {e# F @ & Z |e s * TB }eB c $DKpTB ~e c $D0pZ2 e s *p 0 Z2 e s * `0 Z2 e s *PJL KP0  e# F P & Z e s * TB eB c $DKpTB e c $D0pZ2 e s *p 0 Z2 e s * `0 Z2 e s *PJL KP0  e# F & Z e s * TB eB c $DKpTB e c $D0pZ2 e s *p 0 Z2 e s * `0 Z2 e s *PJL KPP0  e#   f KP0  eS KP0 Z e s * ZB eB s *DKpZB e s *D0pZ2 e s *p 0 Z2 e s * `0 Z2 e s *PJf KP0  eS ;P0 Z e s * ZB eB s *DKpZB e s *D0pZ2 e s *p 0 Z2 e s * `0 Z2 e s *PJf KP0  eS +Pp0 Z e s * ZB eB s *DKpZB e s *D0pZ2 e s *p 0 Z2 e s * `0 Z2 e s *PJf KP0  eS P`0 Z e s * ZB eB s *DKpZB e s *D0pZ2 e s *p 0 Z2 e s * `0 Z2 e s *PJf KP0  eS  PP0 Z e s * ZB eB s *DKpZB e s *D0pZ2 e s *p 0 Z2 e s * `0 Z2 e s *PJ!F   e   BN    e   T KP0  e#   Z e s * TB eB c $DKpTB e c $D0pZ2 e s *p 0 Z2 e s * `0 Z2 e s *PJT KP0  e#   Z e s * TB eB c $DKpTB e c $D0pZ2 e s *p 0 Z2 e s * `0 Z2 e s *PJT KP0  e#   Z e s * TB eB c $DKpTB e c $D0pZ2 e s *p 0 Z2 e s * `0 Z2 e s *PJ N ; P e 0 E ` T KP0  e# `Z e s * TB eB c $DKpTB e c $D0pZ2 e s *p 0 Z2 e s * `0 Z2 e s *PJT KP0  e# + pZ e s * TB eB c $DKpTB e c $D0pZ2 e s *p 0 Z2 e s * `0 Z2 e s *PJT KP0  e# ;  Z e s * TB eB c $DKpTB e c $D0pZ2 e s *p 0 Z2 e s * `0 Z2 e s *PJT KP0  e#  PZ e s * TB eB c $DKpTB e c $D0pZ2 e s *p 0 Z2 e s * `0 Z2 e s *PJ N KPP0  e  f KP0  eS KP0 Z e s * ZB eB s *DKpZB e s *D0pZ2 e s *p 0 Z2 e s * `0 Z2 e s *PJf KP0  eS ;P0 Z e s * ZB eB s *DKpZB e s *D0pZ2 e s *p 0 Z2 e s * `0 Z2 e s *PJf KP0  eS +Pp0 Z e s * ZB eB s *DKpZB e s *D0pZ2 e s *p 0 Z2 e s * `0 Z2 e s *PJf KP0  eS P`0 Z e s * ZB fB s *DKpZB f s *D0pZ2 f s *p 0 Z2 f s * `0 Z2 f s *PJf KP0  fS  PP0 Z f s * ZB fB s *DKpZB f s *D0pZ2  f s *p 0 Z2  f s * `0 Z2  f s *PJ  f s p`0e0e `P  ` H d 0޽h ? ̙33y___PPT10Y+D=' = @B +s  0 `j*(  h h 0`@p : ~ h s *``  ` !F   h  BN    h   T KP0  h#   Z h s * TB hB c $DKpTB  h c $D0pZ2  h s *p 0 Z2  h s * `0 Z2  h s *PJT KP0   h#   Z h s * TB hB c $DKpTB h c $D0pZ2 h s *p 0 Z2 h s * `0 Z2 h s *PJT KP0  h#   Z h s * TB hB c $DKpTB h c $D0pZ2 h s *p 0 Z2 h s * `0 Z2 h s *PJ N ; P h 0 E ` T KP0  h# `Z h s * TB hB c $DKpTB h c $D0pZ2  h s *p 0 Z2 !h s * `0 Z2 "h s *PJT KP0  #h# + pZ $h s * TB %hB c $DKpTB &h c $D0pZ2 'h s *p 0 Z2 (h s * `0 Z2 )h s *PJT KP0  *h# ;  Z +h s * TB ,hB c $DKpTB -h c $D0pZ2 .h s *p 0 Z2 /h s * `0 Z2 0h s *PJT KP0  1h#  PZ 2h s * TB 3hB c $DKpTB 4h c $D0pZ2 5h s *p 0 Z2 6h s * `0 Z2 7h s *PJ N KPP0  8h  f KP0  9hS KP0 Z :h s * ZB ;hB s *DKpZB h s * `0 Z2 ?h s *PJf KP0  @hS ;P0 Z Ah s * ZB BhB s *DKpZB Ch s *D0pZ2 Dh s *p 0 Z2 Eh s * `0 Z2 Fh s *PJf KP0  GhS +Pp0 Z Hh s * ZB IhB s *DKpZB Jh s *D0pZ2 Kh s *p 0 Z2 Lh s * `0 Z2 Mh s *PJf KP0  NhS P`0 Z Oh s * ZB PhB s *DKpZB Qh s *D0pZ2 Rh s *p 0 Z2 Sh s * `0 Z2 Th s *PJf KP0  UhS  PP0 Z Vh s * ZB WhB s *DKpZB Xh s *D0pZ2 Yh s *p 0 Z2 Zh s * `0 Z2 [h s *PJ F    \h HT    ]h#   T KP0  ^h#   Z _h s * TB `hB c $DKpTB ah c $D0pZ2 bh s *p 0 Z2 ch s * `0 Z2 dh s *PJT KP0  eh#   Z fh s * TB ghB c $DKpTB hh c $D0pZ2 ih s *p 0 Z2 jh s * `0 Z2 kh s *PJT KP0  lh#   Z mh s * TB nhB c $DKpTB oh c $D0pZ2 ph s *p 0 Z2 qh s * `0 Z2 rh s *PJT KP0  sh# ` Z th s * TB uhB c $DKpTB vh c $D0pZ2 wh s *p 0 Z2 xh s * `0 Z2 yh s *PJT KP0  zh# +p Z {h s * TB |hB c $DKpTB }h c $D0pZ2 ~h s *p 0 Z2 h s * `0 Z2 h s *PJT KP0  h# ; Z h s * TB hB c $DKpTB h c $D0pZ2 h s *p 0 Z2 h s * `0 Z2 h s *PJT KP0  h#  P Z h s * TB hB c $DKpTB h c $D0pZ2 h s *p 0 Z2 h s * `0 Z2 h s *PJf KP0  hS   Z h s * ZB hB s *DKpZB h s *D0pZ2 h s *p 0 Z2 h s * `0 Z2 h s *PJf KP0  hS  Z h s * ZB hB s *DKpZB h s *D0pZ2 h s *p 0 Z2 h s * `0 Z2 h s *PJf KP0  hS  Z h s * ZB hB s *DKpZB h s *D0pZ2 h s *p 0 Z2 h s * `0 Z2 h s *PJf KP0  hS  Z h s * ZB hB s *DKpZB h s *D0pZ2 h s *p 0 Z2 h s * `0 Z2 h s *PJf KP0  hS  Z h s * ZB hB s *DKpZB h s *D0pZ2 h s *p 0 Z2 h s * `0 Z2 h s *PJ@L    h# T KP0  h#   Z h s * TB hB c $DKpTB h c $D0pZ2 h s *p 0 Z2 h s * `0 Z2 h s *PJT KP0  h#   Z h s * TB hB c $DKpTB h c $D0pZ2 h s *p 0 Z2 h s * `0 Z2 h s *PJT KP0  h#   Z h s * TB hB c $DKpTB h c $D0pZ2 h s *p 0 Z2 h s * `0 Z2 h s *PJL KP0  h# `U@Z h s * TB hB c $DKpTB h c $D0pZ2 h s *p 0 Z2 h s * `0 Z2 h s *PJL KP0  h# ` e@Z h s * ZB hB s *DKpZB h s *D0pZ2 h s *p 0 Z2 h s * `0 Z2 h s *PJL KP0  h# `0u@Z h s * TB hB c $DKpTB h c $D0pZ2 h s *p 0 Z2 h s * `0 Z2 h s *PJL KP0  h# `E@Z h s * TB hB c $DKpTB h c $D0pZ2 h s *p 0 Z2 h s * `0 Z2 h s *PJ^ KP0  hS Z h s * ZB hB s *DKpZB h s *D0pZ2 h s *p 0 Z2 h s * `0 Z2 h s *PJ^ KP0  hS Z h s * ZB hB s *DKpZB h s *D0pZ2 h s *p 0 Z2 h s * `0 Z2 h s *PJ^ KP0  hS Z h s * ZB hB s *DKpZB h s *D0pZ2 h s *p 0 Z2 h s * `0 Z2 h s *PJ^ KP0  hS Z h s * ZB hB s *DKpZB h s *D0pZ2 h s *p 0 Z2 h s * `0 Z2 h s *PJ^ KP0  iS Z i s * ZB iB s *DKpZB i s *D0pZ2 i s *p 0 Z2 i s * `0 Z2 i s *PJ!F   i   BN    i   T KP0   i#   Z  i s * TB  iB c $DKpTB  i c $D0pZ2  i s *p 0 Z2 i s * `0 Z2 i s *PJT KP0  i#   Z i s * TB iB c $DKpTB i c $D0pZ2 i s *p 0 Z2 i s * `0 Z2 i s *PJT KP0  i#   Z i s * TB iB c $DKpTB i c $D0pZ2 i s *p 0 Z2 i s * `0 Z2 i s *PJ N ; P i 0 E ` T KP0  i# `Z  i s * TB !iB c $DKpTB "i c $D0pZ2 #i s *p 0 Z2 $i s * `0 Z2 %i s *PJT KP0  &i# + pZ 'i s * TB (iB c $DKpTB )i c $D0pZ2 *i s *p 0 Z2 +i s * `0 Z2 ,i s *PJT KP0  -i# ;  Z .i s * TB /iB c $DKpTB 0i c $D0pZ2 1i s *p 0 Z2 2i s * `0 Z2 3i s *PJT KP0  4i#  PZ 5i s * TB 6iB c $DKpTB 7i c $D0pZ2 8i s *p 0 Z2 9i s * `0 Z2 :i s *PJ N KPP0  ;i  f KP0  iB s *DKpZB ?i s *D0pZ2 @i s *p 0 Z2 Ai s * `0 Z2 Bi s *PJf KP0  CiS ;P0 Z Di s * ZB EiB s *DKpZB Fi s *D0pZ2 Gi s *p 0 Z2 Hi s * `0 Z2 Ii s *PJf KP0  JiS +Pp0 Z Ki s * ZB LiB s *DKpZB Mi s *D0pZ2 Ni s *p 0 Z2 Oi s * `0 Z2 Pi s *PJf KP0  QiS P`0 Z Ri s * ZB SiB s *DKpZB Ti s *D0pZ2 Ui s *p 0 Z2 Vi s * `0 Z2 Wi s *PJf KP0  XiS  PP0 Z Yi s * ZB ZiB s *DKpZB [i s *D0pZ2 \i s *p 0 Z2 ]i s * `0 Z2 ^i s *PJ\!F   _i   HT    `i#  T KP0  ai#   Z bi s * TB ciB c $DKpTB di c $D0pZ2 ei s *p 0 Z2 fi s * `0 Z2 gi s *PJT KP0  hi#   Z ii s * TB jiB c $DKpTB ki c $D0pZ2 li s *p 0 Z2 mi s * `0 Z2 ni s *PJT KP0  oi#   Z pi s * TB qiB c $DKpTB ri c $D0pZ2 si s *p 0 Z2 ti s * `0 Z2 ui s *PJT KP0  vi#  0 pZ wi s * TB xiB c $DKpTB yi c $D0pZ2 zi s *p 0 Z2 {i s * `0 Z2 |i s *PJT KP0  }i#  @ pZ ~i s * TB iB c $DKpTB i c $D0pZ2 i s *p 0 Z2 i s * `0 Z2 i s *PJT KP0  i#  P pZ i s * TB iB c $DKpTB i c $D0pZ2 i s *p 0 Z2 i s * `0 Z2 i s *PJT KP0  i#  pZ i s * TB iB c $DKpTB i c $D0pZ2 i s *p 0 Z2 i s * `0 Z2 i s *PJ&T KPP0  i#  f KP0  iS KP0 Z i s * ZB iB s *DKpZB i s *D0pZ2 i s *p 0 Z2 i s * `0 Z2 i s *PJf KP0  iS ;P0 Z i s * ZB iB s *DKpZB i s *D0pZ2 i s *p 0 Z2 i s * `0 Z2 i s *PJf KP0  iS +Pp0 Z i s * ZB iB s *DKpZB i s *D0pZ2 i s *p 0 Z2 i s * `0 Z2 i s *PJf KP0  iS P`0 Z i s * ZB iB s *DKpZB i s *D0pZ2 i s *p 0 Z2 i s * `0 Z2 i s *PJf KP0  iS  PP0 Z i s * ZB iB s *DKpZB i s *D0pZ2 i s *p 0 Z2 i s * `0 Z2 i s *PJ!F   i   BN    i   T KP0  i#   Z i s * TB iB c $DKpTB i c $D0pZ2 i s *p 0 Z2 i s * `0 Z2 i s *PJT KP0  i#   Z i s * TB iB c $DKpTB i c $D0pZ2 i s *p 0 Z2 i s * `0 Z2 i s *PJT KP0  i#   Z i s * TB iB c $DKpTB i c $D0pZ2 i s *p 0 Z2 i s * `0 Z2 i s *PJ N ; P i 0 E ` T KP0  i# `Z i s * TB iB c $DKpTB i c $D0pZ2 i s *p 0 Z2 i s * `0 Z2 i s *PJT KP0  i# + pZ i s * TB iB c $DKpTB i c $D0pZ2 i s *p 0 Z2 i s * `0 Z2 i s *PJT KP0  i# ;  Z i s * TB iB c $DKpTB i c $D0pZ2 i s *p 0 Z2 i s * `0 Z2 i s *PJT KP0  i#  PZ i s * TB iB c $DKpTB i c $D0pZ2 i s *p 0 Z2 i s * `0 Z2 i s *PJ N KPP0  i  f KP0  iS KP0 Z i s * ZB iB s *DKpZB i s *D0pZ2 i s *p 0 Z2 i s * `0 Z2 i s *PJf KP0  iS ;P0 Z i s * ZB iB s *DKpZB i s *D0pZ2 i s *p 0 Z2 i s * `0 Z2 i s *PJf KP0  iS +Pp0 Z i s * ZB iB s *DKpZB i s *D0pZ2 i s *p 0 Z2 i s * `0 Z2 i s *PJf KP0  jS P`0 Z j s * ZB jB s *DKpZB j s *D0pZ2 j s *p 0 Z2 j s * `0 Z2 j s *PJf KP0  jS  PP0 Z j s * ZB  jB s *DKpZB  j s *D0pZ2  j s *p 0 Z2  j s * `0 Z2  j s *PJ j s uc0e0e `P  c H h 0޽h ? ̙33y___PPT10Y+D=' = @B +7  0 ^VPddn(  lR l s *@p~ l s *|c  c !F   l  BN    l   T KP0  l#   Z l s * TB lB c $DKpTB  l c $D0pZ2  l s *p 0 Z2  l s * `0 Z2  l s *PJT KP0   l#   Z l s * TB lB c $DKpTB l c $D0pZ2 l s *p 0 Z2 l s * `0 Z2 l s *PJT KP0  l#   Z l s * TB lB c $DKpTB l c $D0pZ2 l s *p 0 Z2 l s * `0 Z2 l s *PJ N ; P l 0 E ` T KP0  l# `Z l s * TB lB c $DKpTB l c $D0pZ2  l s *p 0 Z2 !l s * `0 Z2 "l s *PJT KP0  #l# + pZ $l s * TB %lB c $DKpTB &l c $D0pZ2 'l s *p 0 Z2 (l s * `0 Z2 )l s *PJT KP0  *l# ;  Z +l s * TB ,lB c $DKpTB -l c $D0pZ2 .l s *p 0 Z2 /l s * `0 Z2 0l s *PJT KP0  1l#  PZ 2l s * TB 3lB c $DKpTB 4l c $D0pZ2 5l s *p 0 Z2 6l s * `0 Z2 7l s *PJ N KPP0  8l  f KP0  9lS KP0 Z :l s * ZB ;lB s *DKpZB l s * `0 Z2 ?l s *PJf KP0  @lS ;P0 Z Al s * ZB BlB s *DKpZB Cl s *D0pZ2 Dl s *p 0 Z2 El s * `0 Z2 Fl s *PJf KP0  GlS +Pp0 Z Hl s * ZB IlB s *DKpZB Jl s *D0pZ2 Kl s *p 0 Z2 Ll s * `0 Z2 Ml s *PJf KP0  NlS P`0 Z Ol s * ZB PlB s *DKpZB Ql s *D0pZ2 Rl s *p 0 Z2 Sl s * `0 Z2 Tl s *PJf KP0  UlS  PP0 Z Vl s * ZB WlB s *DKpZB Xl s *D0pZ2 Yl s *p 0 Z2 Zl s * `0 Z2 [l s *PJ F    \l HT    ]l#   T KP0  ^l#   Z _l s * TB `lB c $DKpTB al c $D0pZ2 bl s *p 0 Z2 cl s * `0 Z2 dl s *PJT KP0  el#   Z fl s * TB glB c $DKpTB hl c $D0pZ2 il s *p 0 Z2 jl s * `0 Z2 kl s *PJT KP0  ll#   Z ml s * TB nlB c $DKpTB ol c $D0pZ2 pl s *p 0 Z2 ql s * `0 Z2 rl s *PJT KP0  sl# ` Z tl s * TB ulB c $DKpTB vl c $D0pZ2 wl s *p 0 Z2 xl s * `0 Z2 yl s *PJT KP0  zl# +p Z {l s * TB |lB c $DKpTB }l c $D0pZ2 ~l s *p 0 Z2 l s * `0 Z2 l s *PJT KP0  l# ; Z l s * TB lB c $DKpTB l c $D0pZ2 l s *p 0 Z2 l s * `0 Z2 l s *PJT KP0  l#  P Z l s * TB lB c $DKpTB l c $D0pZ2 l s *p 0 Z2 l s * `0 Z2 l s *PJf KP0  lS   Z l s * ZB lB s *DKpZB l s *D0pZ2 l s *p 0 Z2 l s * `0 Z2 l s *PJf KP0  lS  Z l s * ZB lB s *DKpZB l s *D0pZ2 l s *p 0 Z2 l s * `0 Z2 l s *PJf KP0  lS  Z l s * ZB lB s *DKpZB l s *D0pZ2 l s *p 0 Z2 l s * `0 Z2 l s *PJf KP0  lS  Z l s * ZB lB s *DKpZB l s *D0pZ2 l s *p 0 Z2 l s * `0 Z2 l s *PJf KP0  lS  Z l s * ZB lB s *DKpZB l s *D0pZ2 l s *p 0 Z2 l s * `0 Z2 l s *PJ!F    l HT    l#   T KP0  l#   Z l s * TB lB c $DKpTB l c $D0pZ2 l s *p 0 Z2 l s * `0 Z2 l s *PJT KP0  l#   Z l s * TB lB c $DKpTB l c $D0pZ2 l s *p 0 Z2 l s * `0 Z2 l s *PJT KP0  l#   Z l s * TB lB c $DKpTB l c $D0pZ2 l s *p 0 Z2 l s * `0 Z2 l s *PJT KP0  l# U Z l s * TB lB c $DKpTB l c $D0pZ2 l s *p 0 Z2 l s * `0 Z2 l s *PJT KP0  l#  e Z l s * ZB lB s *DKpZB l s *D0pZ2 l s *p 0 Z2 l s * `0 Z2 l s *PJT KP0  l# 0u Z l s * TB lB c $DKpTB l c $D0pZ2 l s *p 0 Z2 l s * `0 Z2 l s *PJT KP0  l# E Z l s * TB lB c $DKpTB l c $D0pZ2 l s *p 0 Z2 l s * `0 Z2 l s *PJf KP0  lS  Z l s * ZB lB s *DKpZB l s *D0pZ2 l s *p 0 Z2 l s * `0 Z2 l s *PJf KP0  lS  Z l s * ZB lB s *DKpZB l s *D0pZ2 l s *p 0 Z2 l s * `0 Z2 l s *PJf KP0  lS  Z l s * ZB lB s *DKpZB l s *D0pZ2 l s *p 0 Z2 l s * `0 Z2 l s *PJf KP0  lS  Z l s * ZB lB s *DKpZB l s *D0pZ2 l s *p 0 Z2 l s * `0 Z2 m s *PJf KP0  mS  Z m s * ZB mB s *DKpZB m s *D0pZ2 m s *p 0 Z2 m s * `0 Z2 m s *PJ!F   m   BN     m   T KP0   m#   Z  m s * TB  mB c $DKpTB  m c $D0pZ2 m s *p 0 Z2 m s * `0 Z2 m s *PJT KP0  m#   Z m s * TB mB c $DKpTB m c $D0pZ2 m s *p 0 Z2 m s * `0 Z2 m s *PJT KP0  m#   Z m s * TB mB c $DKpTB m c $D0pZ2 m s *p 0 Z2 m s * `0 Z2 m s *PJ N ; P m 0 E ` T KP0   m# `Z !m s * TB "mB c $DKpTB #m c $D0pZ2 $m s *p 0 Z2 %m s * `0 Z2 &m s *PJT KP0  'm# + pZ (m s * TB )mB c $DKpTB *m c $D0pZ2 +m s *p 0 Z2 ,m s * `0 Z2 -m s *PJT KP0  .m# ;  Z /m s * TB 0mB c $DKpTB 1m c $D0pZ2 2m s *p 0 Z2 3m s * `0 Z2 4m s *PJT KP0  5m#  PZ 6m s * TB 7mB c $DKpTB 8m c $D0pZ2 9m s *p 0 Z2 :m s * `0 Z2 ;m s *PJ N KPP0  m s * ZB ?mB s *DKpZB @m s *D0pZ2 Am s *p 0 Z2 Bm s * `0 Z2 Cm s *PJf KP0  DmS ;P0 Z Em s * ZB FmB s *DKpZB Gm s *D0pZ2 Hm s *p 0 Z2 Im s * `0 Z2 Jm s *PJf KP0  KmS +Pp0 Z Lm s * ZB MmB s *DKpZB Nm s *D0pZ2 Om s *p 0 Z2 Pm s * `0 Z2 Qm s *PJf KP0  RmS P`0 Z Sm s * ZB TmB s *DKpZB Um s *D0pZ2 Vm s *p 0 Z2 Wm s * `0 Z2 Xm s *PJf KP0  YmS  PP0 Z Zm s * ZB [mB s *DKpZB \m s *D0pZ2 ]m s *p 0 Z2 ^m s * `0 Z2 _m s *PJ\!F   `m   HT    am#  T KP0  bm#   Z cm s * TB dmB c $DKpTB em c $D0pZ2 fm s *p 0 Z2 gm s * `0 Z2 hm s *PJT KP0  im#   Z jm s * TB kmB c $DKpTB lm c $D0pZ2 mm s *p 0 Z2 nm s * `0 Z2 om s *PJT KP0  pm#   Z qm s * TB rmB c $DKpTB sm c $D0pZ2 tm s *p 0 Z2 um s * `0 Z2 vm s *PJT KP0  wm#  0 pZ xm s * TB ymB c $DKpTB zm c $D0pZ2 {m s *p 0 Z2 |m s * `0 Z2 }m s *PJT KP0  ~m#  @ pZ m s * TB mB c $DKpTB m c $D0pZ2 m s *p 0 Z2 m s * `0 Z2 m s *PJT KP0  m#  P pZ m s * TB mB c $DKpTB m c $D0pZ2 m s *p 0 Z2 m s * `0 Z2 m s *PJT KP0  m#  pZ m s * TB mB c $DKpTB m c $D0pZ2 m s *p 0 Z2 m s * `0 Z2 m s *PJ&T KPP0  m#  f KP0  mS KP0 Z m s * ZB mB s *DKpZB m s *D0pZ2 m s *p 0 Z2 m s * `0 Z2 m s *PJf KP0  mS ;P0 Z m s * ZB mB s *DKpZB m s *D0pZ2 m s *p 0 Z2 m s * `0 Z2 m s *PJf KP0  mS +Pp0 Z m s * ZB mB s *DKpZB m s *D0pZ2 m s *p 0 Z2 m s * `0 Z2 m s *PJf KP0  mS P`0 Z m s * ZB mB s *DKpZB m s *D0pZ2 m s *p 0 Z2 m s * `0 Z2 m s *PJf KP0  mS  PP0 Z m s * ZB mB s *DKpZB m s *D0pZ2 m s *p 0 Z2 m s * `0 Z2 m s *PJ!F   m   BN    m   T KP0  m#   Z m s * TB mB c $DKpTB m c $D0pZ2 m s *p 0 Z2 m s * `0 Z2 m s *PJT KP0  m#   Z m s * TB mB c $DKpTB m c $D0pZ2 m s *p 0 Z2 m s * `0 Z2 m s *PJT KP0  m#   Z m s * TB mB c $DKpTB m c $D0pZ2 m s *p 0 Z2 m s * `0 Z2 m s *PJ N ; P m 0 E ` T KP0  m# `Z m s * TB mB c $DKpTB m c $D0pZ2 m s *p 0 Z2 m s * `0 Z2 m s *PJT KP0  m# + pZ m s * TB mB c $DKpTB m c $D0pZ2 m s *p 0 Z2 m s * `0 Z2 m s *PJT KP0  m# ;  Z m s * TB mB c $DKpTB m c $D0pZ2 m s *p 0 Z2 m s * `0 Z2 m s *PJT KP0  m#  PZ m s * TB mB c $DKpTB m c $D0pZ2 m s *p 0 Z2 m s * `0 Z2 m s *PJ N KPP0  m  f KP0  mS KP0 Z m s * ZB mB s *DKpZB m s *D0pZ2 m s *p 0 Z2 m s * `0 Z2 m s *PJf KP0  mS ;P0 Z m s * ZB mB s *DKpZB m s *D0pZ2 m s *p 0 Z2 m s * `0 Z2 m s *PJf KP0  mS +Pp0 Z m s * ZB mB s *DKpZB m s *D0pZ2 m s *p 0 Z2 m s * `0 Z2 n s *PJf KP0  nS P`0 Z n s * ZB nB s *DKpZB n s *D0pZ2 n s *p 0 Z2 n s * `0 Z2 n s *PJf KP0  nS  PP0 Z  n s * ZB  nB s *DKpZB  n s *D0pZ2  n s *p 0 Z2  n s * `0 Z2 n s *PJ@L    n# T KP0  n#   Z n s * TB nB c $DKpTB n c $D0pZ2 n s *p 0 Z2 n s * `0 Z2 n s *PJT KP0  n#   Z n s * TB nB c $DKpTB n c $D0pZ2 n s *p 0 Z2 n s * `0 Z2 n s *PJT KP0  n#   Z n s * TB  nB c $DKpTB !n c $D0pZ2 "n s *p 0 Z2 #n s * `0 Z2 $n s *PJL KP0  %n# `U@Z &n s * TB 'nB c $DKpTB (n c $D0pZ2 )n s *p 0 Z2 *n s * `0 Z2 +n s *PJL KP0  ,n# ` e@Z -n s * ZB .nB s *DKpZB /n s *D0pZ2 0n s *p 0 Z2 1n s * `0 Z2 2n s *PJL KP0  3n# `0u@Z 4n s * TB 5nB c $DKpTB 6n c $D0pZ2 7n s *p 0 Z2 8n s * `0 Z2 9n s *PJL KP0  :n# `E@Z ;n s * TB n s *p 0 Z2 ?n s * `0 Z2 @n s *PJ^ KP0  AnS Z Bn s * ZB CnB s *DKpZB Dn s *D0pZ2 En s *p 0 Z2 Fn s * `0 Z2 Gn s *PJ^ KP0  HnS Z In s * ZB JnB s *DKpZB Kn s *D0pZ2 Ln s *p 0 Z2 Mn s * `0 Z2 Nn s *PJ^ KP0  OnS Z Pn s * ZB QnB s *DKpZB Rn s *D0pZ2 Sn s *p 0 Z2 Tn s * `0 Z2 Un s *PJ^ KP0  VnS Z Wn s * ZB XnB s *DKpZB Yn s *D0pZ2 Zn s *p 0 Z2 [n s * `0 Z2 \n s *PJ^ KP0  ]nS Z ^n s * ZB _nB s *DKpZB `n s *D0pZ2 an s *p 0 Z2 bn s * `0 Z2 cn s *PJ dn s 2f0e0e `P  f H l 0޽h ? ̙33y___PPT10Y+D=' = @B +  0 @  r8(  pR p s *@p~ p s *D9f  f  F    p HT    p#   T KP0  p#   Z p s * TB pB c $DKpTB  p c $D0pZ2  p s *p 0 Z2  p s * `0 Z2  p s *PJT KP0   p#   Z p s * TB pB c $DKpTB p c $D0pZ2 p s *p 0 Z2 p s * `0 Z2 p s *PJT KP0  p#   Z p s * TB pB c $DKpTB p c $D0pZ2 p s *p 0 Z2 p s * `0 Z2 p s *PJT KP0  p# ` Z p s * TB pB c $DKpTB p c $D0pZ2 p s *p 0 Z2  p s * `0 Z2 !p s *PJT KP0  "p# +p Z #p s * TB $pB c $DKpTB %p c $D0pZ2 &p s *p 0 Z2 'p s * `0 Z2 (p s *PJT KP0  )p# ; Z *p s * TB +pB c $DKpTB ,p c $D0pZ2 -p s *p 0 Z2 .p s * `0 Z2 /p s *PJT KP0  0p#  P Z 1p s * TB 2pB c $DKpTB 3p c $D0pZ2 4p s *p 0 Z2 5p s * `0 Z2 6p s *PJf KP0  7pS   Z 8p s * ZB 9pB s *DKpZB :p s *D0pZ2 ;p s *p 0 Z2 pS  Z ?p s * ZB @pB s *DKpZB Ap s *D0pZ2 Bp s *p 0 Z2 Cp s * `0 Z2 Dp s *PJf KP0  EpS  Z Fp s * ZB GpB s *DKpZB Hp s *D0pZ2 Ip s *p 0 Z2 Jp s * `0 Z2 Kp s *PJf KP0  LpS  Z Mp s * ZB NpB s *DKpZB Op s *D0pZ2 Pp s *p 0 Z2 Qp s * `0 Z2 Rp s *PJf KP0  SpS  Z Tp s * ZB UpB s *DKpZB Vp s *D0pZ2 Wp s *p 0 Z2 Xp s * `0 Z2 Yp s *PJ!F    Zp HT    [p#   T KP0  \p#   Z ]p s * TB ^pB c $DKpTB _p c $D0pZ2 `p s *p 0 Z2 ap s * `0 Z2 bp s *PJT KP0  cp#   Z dp s * TB epB c $DKpTB fp c $D0pZ2 gp s *p 0 Z2 hp s * `0 Z2 ip s *PJT KP0  jp#   Z kp s * TB lpB c $DKpTB mp c $D0pZ2 np s *p 0 Z2 op s * `0 Z2 pp s *PJT KP0  qp# U Z rp s * TB spB c $DKpTB tp c $D0pZ2 up s *p 0 Z2 vp s * `0 Z2 wp s *PJT KP0  xp#  e Z yp s * ZB zpB s *DKpZB {p s *D0pZ2 |p s *p 0 Z2 }p s * `0 Z2 ~p s *PJT KP0  p# 0u Z p s * TB pB c $DKpTB p c $D0pZ2 p s *p 0 Z2 p s * `0 Z2 p s *PJT KP0  p# E Z p s * TB pB c $DKpTB p c $D0pZ2 p s *p 0 Z2 p s * `0 Z2 p s *PJf KP0  pS  Z p s * ZB pB s *DKpZB p s *D0pZ2 p s *p 0 Z2 p s * `0 Z2 p s *PJf KP0  pS  Z p s * ZB pB s *DKpZB p s *D0pZ2 p s *p 0 Z2 p s * `0 Z2 p s *PJf KP0  pS  Z p s * ZB pB s *DKpZB p s *D0pZ2 p s *p 0 Z2 p s * `0 Z2 p s *PJf KP0  pS  Z p s * ZB pB s *DKpZB p s *D0pZ2 p s *p 0 Z2 p s * `0 Z2 p s *PJf KP0  pS  Z p s * ZB pB s *DKpZB p s *D0pZ2 p s *p 0 Z2 p s * `0 Z2 p s *PJ!F   p   BN    p   T KP0  p#   Z p s * TB pB c $DKpTB p c $D0pZ2 p s *p 0 Z2 p s * `0 Z2 p s *PJT KP0  p#   Z p s * TB pB c $DKpTB p c $D0pZ2 p s *p 0 Z2 p s * `0 Z2 p s *PJT KP0  p#   Z p s * TB pB c $DKpTB p c $D0pZ2 p s *p 0 Z2 p s * `0 Z2 p s *PJ N ; P p 0 E ` T KP0  p# `Z p s * TB pB c $DKpTB p c $D0pZ2 p s *p 0 Z2 p s * `0 Z2 p s *PJT KP0  p# + pZ p s * TB pB c $DKpTB p c $D0pZ2 p s *p 0 Z2 p s * `0 Z2 p s *PJT KP0  p# ;  Z p s * TB pB c $DKpTB p c $D0pZ2 p s *p 0 Z2 p s * `0 Z2 p s *PJT KP0  p#  PZ p s * TB pB c $DKpTB p c $D0pZ2 p s *p 0 Z2 p s * `0 Z2 p s *PJ N KPP0  p  f KP0  pS KP0 Z p s * ZB pB s *DKpZB p s *D0pZ2 p s *p 0 Z2 p s * `0 Z2 p s *PJf KP0  pS ;P0 Z p s * ZB pB s *DKpZB p s *D0pZ2 p s *p 0 Z2 p s * `0 Z2 p s *PJf KP0  pS +Pp0 Z p s * ZB pB s *DKpZB p s *D0pZ2 p s *p 0 Z2 p s * `0 Z2 p s *PJf KP0  pS P`0 Z p s * ZB pB s *DKpZB p s *D0pZ2 p s *p 0 Z2 p s * `0 Z2 q s *PJf KP0  qS  PP0 Z q s * ZB qB s *DKpZB q s *D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJ\!F   q   HT     q#  T KP0   q#   Z  q s * TB  qB c $DKpTB  q c $D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJT KP0  q#   Z q s * TB qB c $DKpTB q c $D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJT KP0  q#   Z q s * TB qB c $DKpTB q c $D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJT KP0  q#  0 pZ  q s * TB !qB c $DKpTB "q c $D0pZ2 #q s *p 0 Z2 $q s * `0 Z2 %q s *PJT KP0  &q#  @ pZ 'q s * TB (qB c $DKpTB )q c $D0pZ2 *q s *p 0 Z2 +q s * `0 Z2 ,q s *PJT KP0  -q#  P pZ .q s * TB /qB c $DKpTB 0q c $D0pZ2 1q s *p 0 Z2 2q s * `0 Z2 3q s *PJT KP0  4q#  pZ 5q s * TB 6qB c $DKpTB 7q c $D0pZ2 8q s *p 0 Z2 9q s * `0 Z2 :q s *PJ&T KPP0  ;q#  f KP0  qB s *DKpZB ?q s *D0pZ2 @q s *p 0 Z2 Aq s * `0 Z2 Bq s *PJf KP0  CqS ;P0 Z Dq s * ZB EqB s *DKpZB Fq s *D0pZ2 Gq s *p 0 Z2 Hq s * `0 Z2 Iq s *PJf KP0  JqS +Pp0 Z Kq s * ZB LqB s *DKpZB Mq s *D0pZ2 Nq s *p 0 Z2 Oq s * `0 Z2 Pq s *PJf KP0  QqS P`0 Z Rq s * ZB SqB s *DKpZB Tq s *D0pZ2 Uq s *p 0 Z2 Vq s * `0 Z2 Wq s *PJf KP0  XqS  PP0 Z Yq s * ZB ZqB s *DKpZB [q s *D0pZ2 \q s *p 0 Z2 ]q s * `0 Z2 ^q s *PJ!F   _q   BN    `q   T KP0  aq#   Z bq s * TB cqB c $DKpTB dq c $D0pZ2 eq s *p 0 Z2 fq s * `0 Z2 gq s *PJT KP0  hq#   Z iq s * TB jqB c $DKpTB kq c $D0pZ2 lq s *p 0 Z2 mq s * `0 Z2 nq s *PJT KP0  oq#   Z pq s * TB qqB c $DKpTB rq c $D0pZ2 sq s *p 0 Z2 tq s * `0 Z2 uq s *PJ N ; P vq 0 E ` T KP0  wq# `Z xq s * TB yqB c $DKpTB zq c $D0pZ2 {q s *p 0 Z2 |q s * `0 Z2 }q s *PJT KP0  ~q# + pZ q s * TB qB c $DKpTB q c $D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJT KP0  q# ;  Z q s * TB qB c $DKpTB q c $D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJT KP0  q#  PZ q s * TB qB c $DKpTB q c $D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJ N KPP0  q  f KP0  qS KP0 Z q s * ZB qB s *DKpZB q s *D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJf KP0  qS ;P0 Z q s * ZB qB s *DKpZB q s *D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJf KP0  qS +Pp0 Z q s * ZB qB s *DKpZB q s *D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJf KP0  qS P`0 Z q s * ZB qB s *DKpZB q s *D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJf KP0  qS  PP0 Z q s * ZB qB s *DKpZB q s *D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJ@L    q# T KP0  q#   Z q s * TB qB c $DKpTB q c $D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJT KP0  q#   Z q s * TB qB c $DKpTB q c $D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJT KP0  q#   Z q s * TB qB c $DKpTB q c $D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJL KP0  q# `U@Z q s * TB qB c $DKpTB q c $D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJL KP0  q# ` e@Z q s * ZB qB s *DKpZB q s *D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJL KP0  q# `0u@Z q s * TB qB c $DKpTB q c $D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJL KP0  q# `E@Z q s * TB qB c $DKpTB q c $D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJ^ KP0  qS Z q s * ZB qB s *DKpZB q s *D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJ^ KP0  qS Z q s * ZB qB s *DKpZB q s *D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJ^ KP0  qS Z q s * ZB qB s *DKpZB q s *D0pZ2 q s *p 0 Z2 q s * `0 Z2 q s *PJ^ KP0  qS Z q s * ZB rB s *DKpZB r s *D0pZ2 r s *p 0 Z2 r s * `0 Z2 r s *PJ^ KP0  rS Z r s * ZB rB s *DKpZB r s *D0pZ2  r s *p 0 Z2  r s * `0 Z2  r s *PJ  r s Hf0e0e `P  f H p 0޽h ? ̙33y___PPT10Y+D=' = @B +j  0  ff@ue(  t~ t s *,f  f  t 0f@ F 0C @L    t# T KP0  t#   Z t s * TB tB c $DKpTB t c $D0pZ2  t s *p 0 Z2  t s * `0 Z2  t s *PJT KP0   t#   Z  t s * TB tB c $DKpTB t c $D0pZ2 t s *p 0 Z2 t s * `0 Z2 t s *PJT KP0  t#   Z t s * TB tB c $DKpTB t c $D0pZ2 t s *p 0 Z2 t s * `0 Z2 t s *PJL KP0  t# ``@Z t s * TB tB c $DKpTB t c $D0pZ2 t s *p 0 Z2 t s * `0 Z2  t s *PJL KP0  !t# `+p@Z "t s * TB #tB c $DKpTB $t c $D0pZ2 %t s *p 0 Z2 &t s * `0 Z2 't s *PJL KP0  (t# `;@Z )t s * TB *tB c $DKpTB +t c $D0pZ2 ,t s *p 0 Z2 -t s * `0 Z2 .t s *PJL KP0  /t# ` P@Z 0t s * TB 1tB c $DKpTB 2t c $D0pZ2 3t s *p 0 Z2 4t s * `0 Z2 5t s *PJ^ KP0  6tS  Z 7t s * ZB 8tB s *DKpZB 9t s *D0pZ2 :t s *p 0 Z2 ;t s * `0 Z2 t s * ZB ?tB s *DKpZB @t s *D0pZ2 At s *p 0 Z2 Bt s * `0 Z2 Ct s *PJ^ KP0  DtS Z Et s * ZB FtB s *DKpZB Gt s *D0pZ2 Ht s *p 0 Z2 It s * `0 Z2 Jt s *PJ^ KP0  KtS Z Lt s * ZB MtB s *DKpZB Nt s *D0pZ2 Ot s *p 0 Z2 Pt s * `0 Z2 Qt s *PJ^ KP0  RtS Z St s * ZB TtB s *DKpZB Ut s *D0pZ2 Vt s *p 0 Z2 Wt s * `0 Z2 Xt s *PJ@L    Yt# T KP0  Zt#   Z [t s * TB \tB c $DKpTB ]t c $D0pZ2 ^t s *p 0 Z2 _t s * `0 Z2 `t s *PJT KP0  at#   Z bt s * TB ctB c $DKpTB dt c $D0pZ2 et s *p 0 Z2 ft s * `0 Z2 gt s *PJT KP0  ht#   Z it s * TB jtB c $DKpTB kt c $D0pZ2 lt s *p 0 Z2 mt s * `0 Z2 nt s *PJL KP0  ot# `U@Z pt s * TB qtB c $DKpTB rt c $D0pZ2 st s *p 0 Z2 tt s * `0 Z2 ut s *PJL KP0  vt# ` e@Z wt s * ZB xtB s *DKpZB yt s *D0pZ2 zt s *p 0 Z2 {t s * `0 Z2 |t s *PJL KP0  }t# `0u@Z ~t s * TB tB c $DKpTB t c $D0pZ2 t s *p 0 Z2 t s * `0 Z2 t s *PJL KP0  t# `E@Z t s * TB tB c $DKpTB t c $D0pZ2 t s *p 0 Z2 t s * `0 Z2 t s *PJ^ KP0  tS Z t s * ZB tB s *DKpZB t s *D0pZ2 t s *p 0 Z2 t s * `0 Z2 t s *PJ^ KP0  tS Z t s * ZB tB s *DKpZB t s *D0pZ2 t s *p 0 Z2 t s * `0 Z2 t s *PJ^ KP0  tS Z t s * ZB tB s *DKpZB t s *D0pZ2 t s *p 0 Z2 t s * `0 Z2 t s *PJ^ KP0  tS Z t s * ZB tB s *DKpZB t s *D0pZ2 t s *p 0 Z2 t s * `0 Z2 t s *PJ^ KP0  tS Z t s * ZB tB s *DKpZB t s *D0pZ2 t s *p 0 Z2 t s * `0 Z2 t s *PJ@L    t#  T KP0  t#   Z t s * TB tB c $DKpTB t c $D0pZ2 t s *p 0 Z2 t s * `0 Z2 t s *PJT KP0  t#   Z t s * TB tB c $DKpTB t c $D0pZ2 t s *p 0 Z2 t s * `0 Z2 t s *PJT KP0  t#   Z t s * TB tB c $DKpTB t c $D0pZ2 t s *p 0 Z2 t s * `0 Z2 t s *PJL KP0  t# @ 0 Z t s * TB tB c $DKpTB t c $D0pZ2 t s *p 0 Z2 t s * `0 Z2 t s *PJL KP0  t# @ @ Z t s * TB tB c $DKpTB t c $D0pZ2 t s *p 0 Z2 t s * `0 Z2 t s *PJL KP0  t# @ P Z t s * TB tB c $DKpTB t c $D0pZ2 t s *p 0 Z2 t s * `0 Z2 t s *PJL KP0  t# @ Z t s * TB tB c $DKpTB t c $D0pZ2 t s *p 0 Z2 t s * `0 Z2 t s *PJL KPP0  t#   f KP0  tS KP0 Z t s * ZB tB s *DKpZB t s *D0pZ2 t s *p 0 Z2 t s * `0 Z2 t s *PJf KP0  tS ;P0 Z t s * ZB tB s *DKpZB t s *D0pZ2 t s *p 0 Z2 t s * `0 Z2 t s *PJf KP0  tS +Pp0 Z t s * ZB tB s *DKpZB t s *D0pZ2 t s *p 0 Z2 t s * `0 Z2 t s *PJf KP0  tS P`0 Z t s * ZB tB s *DKpZB t s *D0pZ2 t s *p 0 Z2 t s * `0 Z2 t s *PJf KP0  tS  PP0 Z t s * ZB tB s *DKpZB u s *D0pZ2 u s *p 0 Z2 u s * `0 Z2 u s *PJ u 60.j ?  ,$D 0 MSave 33-3 times"0G u s @2j0e0e `P  j  u <x3jvx1  PWhat s next?  !H t 0޽h ? ̙33zr___PPT10R+%:D' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*u%(D' =-o6Bdissolve*<3<*u+8+0+u0 +g  0  P(  Px P c $t?j`P  j  P 0?jhR o9We can use a matrix to describe a non-adaptive algorithm.:: P 04EjT /Items are indexed by columns and the tests are indexed by rows. Therefore, the (i, j) entry is 1 if the item j is included in the pool i (for test), and 0 otherwise.nZ" H P 0޽h ? 33y___PPT10Y+D=' = @B +a`  0 x_p_0_(  r  S Uj`P  j V^ :>  #"6* :[ j t <dsj?> P  @` s <}j?> G1 @` r <vj?> P  @` q <Pj? > P  @` p <Дj?  > P  @` o <{M?  > G1 @` n <j?w  > G1 @` m <|j?l w > P  @` l <Զj?`l > P  @` k <pj?R`> G1 @` j <j?FR> P  @` i <0j?:F> P  @` h <j? P  @` g <j? P  @` f <|j? G1 @` e <j?  G1 @` d <j?   P  @` c <k?   P  @` b < k?w   P  @` a <k?l w  G1 @` ` < k?`l  P  @` _ <d%k?R` G1 @` ^ <x.k?FR P  @` ] <(k?:F P  @` \ <0k?l  G1 @` [ <Gk?l  P  @` Z <Ak?l  P  @` Y <(Xk? l  P  @` X <0Jk? l  G1 @` W <hk? l  P  @` V <hqk?w l  P  @` U <yk?l l w  P  @` T <kk?`l l  G1 @` S <̊k?Rl ` G1 @` R <tk?Fl R P  @` Q <k?:l F P  @` P <Lk?& l  P  @` O <Hk?& l  P  @` N <k?& l  G1 @` M <4k? & l  P  @` L <,k? & l  G1 @` K <k? & l  P  @` J <k?w & l  G1 @` I <@k?l & w l  P  @` H <k?`& l l  P  @` G <k?R& `l  P  @` F <k?F& Rl  G1 @` E <l?:& Fl  P  @` D <` l? &  G1 @` C <tl? &  P  @` B < l? &  P  @` A <x#l? &  P  @` @ <<,l? &  P  @` ? <4l? &  G1 @` > <-l?w &  P  @` = <El?l w &  G1 @` < <Nl?` l &  P  @` ; < Wl?R `&  P  @` : <8_l?F R&  G1 @` 9 <gl?: F&  P  @` 8 <4bl?   P  @` 7 <Pxl?   G1 @` 6 <l?   P  @` 5 <L{l?   G1 @` 4 <l?  P  @` 3 <8l?  P  @` 2 <l?w  P  @` 1 <l?l w  P  @` 0 <вl?` l  G1 @` / <xl?R `  P  @` . <pl?F R  G1 @` - <8l?: F  P  @` , <l?T  G1 @` + <l?T  P  @` * <l?T  P  @` ) <0l? T  G1 @` ( <l? T  P  @` ' <,l? 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