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On the other hand, if the answer is  Not , then ask if the number is larger than 16 or not. Continued & "ZZZ+!).!)   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%&  !!!! !!!1Adaptive (Sequential) and Non-adaptive (Parallel)22Can 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 or parallel): You can ask all the questions (queries) at the same time.bmZ 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 Matrix055,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. (?) How to implement?bDNM=Ask at most 9 queries for at most 2 positives (Limited sizes)D>"&& & &&k1, 4, 7, 10 1, 5, 8, 11 1, 6, 9, 12 2, 4, 9, 11 2, 5, 7, 12 2, 6, 8, 10 3, 4, 8, 12 3, 5, 9, 10 3, 6, 7, 11lZlHuman Genome ProjectEHuman Genome Project" #How does the human genome stack up?$$&   S'l8h|8hx9 DNA: Deoxyribonucleic Acid Nucleotide (8hx) Adenine (A) Thymine (T) Guanine (G) Cytosine (C),G$'I"$ {RP[uirx[!|N  DNA㉏^_ Rg o` FOnjeϑ30Q \0  sNybR0 ;NL  ^RD}T  ^RRg  WV[  uirnj nje^0.ze9j^i0ˆ}v N}P}ic,n& 0 (5 g3g&gcg3g4g  #% ^Rk \cvzf.3 f  ~b^R-N 0vHHGoal5Our goal is to provide an experimental protocol that identifies all pairs of adjacent primers with as few PCRs (queries) (or multiplex PCRs respectively) as possible.  6jIIMathematical Models( Hidden Graphs (Reconstructed) ty W###3 JJMONLOPPQQRsThen, & We can delete the edge and start it over again to find another edge until all the edges are found. Clearly, if the hidden graph we are looking for is of large size compare to n, then this algorithm is not going to be a good one. We may simply ask all the n(n-1)/2 2-subsets of [n].,c53vwBetter Lower Bound!In reconstructing a graph with n vertices and m edges, all graphs of order n and size less than m must be considered as graphs to be reconstructed. (Using computation trees.) Theorem. log(S0 i m(n(n-1)/2 chooses i)) edge-detecting queries are required to identify a graph drawn from the family of all graphs with n vertices and m edges. W 3z33xy5 Steps Algorithm3 zUsing Designs (Affine Planes)An affine plane of order q is a balanced incomplete block design, 2 - (q2, q, 1) design, such that the set of blocks can be partitioned into parallel classes. A Steiner triple system of order 9, STS(9), is an example of an affine plane of order 3. It is well-known that the existence of an affine plane of order q is equivalent to the existence of a complete set of mutually orthogonal Latin squares of order q which exists when q is a prime power.`H33V3c{Continued & Theorem. For each positive integer n there exists a prime p power such that 2n p2 n. There exists a pairwise balanced design (PBD), 2  (n, K, 1) design, such that K contains positive integers not greater than p and the design has at most p(p+1) blocks. (?) All edges of a hidden graph defined on [n] are hiding in the blocks!LF3333Ei|Open Problems (Group Testing)@What is the minimum number of tests we need in order to find at most two positives in 10,000 items? (aތ NT 2,000 dollars) How about three positives out of 10,000 items? (aތ NT 3,000 dollars) How about if mistakes (lies) happened sometime? Say, you face one mistake! 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Z2 Y s *PJT KP0  Y#  PZ Y s * TB YB c $DKpTB Y c $D0pZ2 Y s *p 0 Z2 Y s * `0 Z2 Y s *PJ N KPP0  Y  f KP0  YS KP0 Z Y s * ZB YB s *DKpZB Y s *D0pZ2 Y s *p 0 Z2 Y s * `0 Z2 Y s *PJf KP0  YS ;P0 Z Y s * ZB YB s *DKpZB Y s *D0pZ2 Y s *p 0 Z2 Y s * `0 Z2 Y s *PJf KP0  YS +Pp0 Z Y s * ZB YB s *DKpZB Z s *D0pZ2 Z s *p 0 Z2 Z s * `0 Z2 Z s *PJf KP0  ZS P`0 Z Z s * ZB ZB s *DKpZB Z s *D0pZ2 Z s *p 0 Z2  Z s * `0 Z2  Z s *PJf KP0   ZS  PP0 Z  Z s * ZB  ZB s *DKpZB Z s *D0pZ2 Z s *p 0 Z2 Z s * `0 Z2 Z s *PJ Z s `\0e0e  `}  \ H X 0޽h ? ̙33y___PPT10Y+D=' = @B +  0 ^Z(  \R \ s *@p~ \ s * \ ` \ !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  `}  \ H \ 0޽h ? ̙33y___PPT10Y+D=' = @B +  0 bZ(  `R ` s *Fv~ ` s *\ ` \ !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 ` s *D0pZ2 ` s *p 0 Z2 ` s * `0 Z2 ` s *PJ^ KP0  `S Z ` s * ZB `B s *DKpZB ` s *D0pZ2 a s *p 0 Z2 a s * `0 Z2 a s *PJ^ KP0  aS 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  0a# ;  Z 1a s * TB 2aB c $DKpTB 3a c $D0pZ2 4a s *p 0 Z2 5a s * `0 Z2 6a s *PJT KP0  7a#  PZ 8a s * TB 9aB c $DKpTB :a c $D0pZ2 ;a s *p 0 Z2 a  f KP0  ?aS KP0 Z @a s * ZB AaB s *DKpZB Ba s *D0pZ2 Ca s *p 0 Z2 Da s * `0 Z2 Ea s *PJf KP0  FaS ;P0 Z Ga s * ZB HaB s *DKpZB Ia s *D0pZ2 Ja s *p 0 Z2 Ka s * `0 Z2 La s *PJf KP0  MaS +Pp0 Z Na s * ZB OaB s *DKpZB Pa s *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 O_0e0e  `}  _ H ` 0޽h ? ̙33y___PPT10Y+D=' = @B +  0 &p  f(  dR d s *Fv~ d s * U_ ` _ !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 _0e0e  `}  _ H d 0޽h ? ̙33y___PPT10Y+D=' = @B +s  0 `j*(  h h 0D_@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 Xb0e0e  `}  b H h 0޽h ? ̙33y___PPT10Y+D=' = @B +7  0 ^VPddn(  lR l s *@p~ l s *_ ` b !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 Vf0e0e  `}  f H l 0޽h ? ̙33y___PPT10Y+D=' = @B +  0 @  r8(  pR p s *@p~ p s *|\f ` 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 f0e0e  `}  f H p 0޽h ? ̙33y___PPT10Y+D=' = @B +j  0 Ge?e@ud(  t~ t s *tf ` f  t 0i@ F 0C @L    t# T KP0  t#   Z t s * TB tB c $DKpTB t c $D0pZ2  t s *p 0 Z2  t s * 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For any , edge-detecting queries are required to identify a graph drawn from the class of all graphs with vertices and edges. 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