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6 }  E = { 1 ; 2 ; 3 ; 4 }*#("#AB%Review of subsetsUse cursor control keys or mouseTest of subsetsAA$U$3ILJW"#AB%#*+Review of subsetsPress RETURN to continue or press HELPUse cursor control keys or mouseTest of subsetsAA$U$3ILJW"#AB%#,SubsetsPress RETURN to continue or press HELP:$U:DEF:*.sup.&=$U:EX:*.sup.9@$U:REV:*.sup.402$U$1.it.$1 superset,-$U* next *:go: .dis..Superset34567)0#AT%>#AT%;?Press RETURN to continue or press HELP156Press RETURN to continue or press HELP4568Definition of supersetPress RETURN to continue or press HELPExample of supersetExample of supersetTest of superset $U$3){$U24{$UtwoA{$UF  Gp{$U*{ a , b , c ,..., z }**{ x , y , z }*#89"#AT%Review of supersetTest of superset $U$3)x$U24x$Utwocx$U*{ a , b , c ,..., z }**{ x , y , z }*px$UF  G#:"#AT%SupersetsTest of superset $U$3)S$UeHS$U*{ 1 , 2 , 3 , 4 , 5 }*#<="#AT%Review of supersetTest of superset $U$3)Q$UeIQ$U* { 1 , 2 , 3 , 4 , 5 }*#>"#AT%SupersetsTest of superset $U$3)P$UcEP$U*{ 7 } * { 4 , 13 }*#8@"#AT%Test of superset $U$3)M$UcEM$U*{ 7 } * { 4 , 13 }*#A"#AT%Supersets:$U:DEF:*.dis.&=$U:EX:*.dis.9@$U:REV:*.dis.IEG!$U$1.it.$1 disjoint sets12$U* next *:go: .int.CDisjoint setsHIJKLM18#AD%>#AD%QSPress RETURN to continue or press HELPFJKLPress RETURN to continue or press HELPIJKLNDefinition of disjoint setsPress RETURN to continue or press HELPExample of disjoint setsExample of disjoint setsExample of disjoint setsUse cursor control keys or mouseTest of disjoint setsGG$U$3ORJ]"#AD%#NOReview of disjoint setsPress RETURN to continue or press HELPUse cursor control keys or mouseTest of disjoint setsGG$U$3ORJ]"#AD%#PDisjoint setsPress RETURN to continue or press HELPTest of disjoint sets%%$U$32C$Ufalse;C$Uf#R"#AD%Review of disjoint setsTest of disjoint sets%%$U$3.`$U4:`$UfourC`$U0U`$U*null set*#TU"#AD%Review of disjoint setsTest of disjoint sets%%$U$3.]$U4:]$UfourL]$U*null set*U]$U0#V"#AD%Disjoint sets:$U:DEF:*.int.&=$U:EX:*.int.9@$U:REV:*.int._Z\($U$1.it.$1 intersection of sets89$U* next *:go: .uni.XIntersection of sets]^_`ab8?#AN%>#AN%fPress RETURN to continue or press HELP[`aPress RETURN to continue or press HELP_`acIntroduction to intersection of setsDefinition of intersection of setsPress RETURN to continue or press HELPExample of intersection of setsExample of intersection of setsTest of intersection of sets,,$U$3@$U*{ a , d } *T$U*{ d , a } *g$U*{ a ; d }*z$U*{ d ; a }*#cd"#AN%Review of intersection of setsTest of intersection of sets,,$U$3?$U*{ a , d }*S$U*{ d , a } *f$U*{ a ; d }*y$U*{ d ; a }*#e"#AN%Intersection of setsTest of intersection of sets,,$U$3?$U*{ i , j }*S$U*{ j , i } *f$U*{ i ; j }*z$U*{ j ; i } *#gh"#AN%Intersection of setsTest of intersection of sets,,$U$3?$U*{ i , j }*S$U*{ j , i } *f$U*{ i ; j }*z$U*{ j ; i } *#i"#AN%Intersection of sets:$U:DEF:*.uni.&=$U:EX:*.uni.9@$U:REV:*.uni.rnp!$U$1.it.$1 union of sets12$U* next *kUnion of setsqrstu.5#AO%>#AO%y|m9Press RETURN to continue or press HELPostPress RETURN to continue or press HELPrstDefinition of union of setsPress RETURN to continue or press HELPExample of union of setsExample of union of setsTest of union of sets%%$U$3@f$U*{ 1 , 2 , 3 , 5 }*[f$U*{ 1 ; 2 ; 3 ; 5 }*#vw"#AO%Review of union of setsPress RETURN to continue or press HELPTest of union of sets%%$U$3@c$U*{ 1 , 2 , 3 , 5 }*[c$U*{ 1 ; 2 ; 3 ; 5 }*#x"#AO%Union of setsTest of union of sets%%$U$3P$U*{ a , b , c , d , e , g , x , z }*{$U*{ a ; 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d ; e ; f }*^#AG%Zq#FL%>"kq#FL%>#,-$U$3%?$U*{ 2 , 4 , 6 }*<?$U*{ 2 ; 4 ; 6 }*V#AG%Ri#FL%>"ci#FL%>#./$U$3d$Ub<d$U*{ a , c , e }*{ b , d , f }*ad$U*{ a ; c ; e }*{ b ; d ; f }*{#AG%w#FL%>"#FL%>#0Congratulations on finishing the exam!1:Sets and Notation Type your answer, press RETURNPress RETURN to continue or press HELP**1*F*[*o#FL#AG#AB#AT#AD#AN#AO -BWj  Press RETURN to continue or press HELP2Press RETURN to continue or press HELP3Press RETURN for DESKTOP4Press RETURN to continue or press HELPPress RETURN to continue Review2G\pPress RETURN to continue or press HELP5Sets and Notation Disk 2Press RETURN to continue or press HELP]l#AB%>iz#AB%>$6mastery$6needs work$6incomplete#AT%>#AT%>$7mastery$7needs work$7incomplete#AD%> #AD%>$3mastery)$3needs work)$3incomplete5D#AN%>AR#AN%>c$4masteryq$4needs workq$4incomplete}#AO%>#AO%>$5mastery$5needs work$5incomplete6$3:USE THESE CONTROL.:intersectionControl T%:epsilon Control E7:not element Control N@:not subsetControl SI:subsetControl BR:supersetControl Pd:union of setsControl U[: "such that"Control V :CHARACTERS FOR:(;ROSTER FORM is:8;* a notation used to@;describe a set by listingALLH< H; itsP;elements.?;In ROSTER FORM,(;the elements of the set are:8;* separated by commas orD;semicolonsT;* enclosed in braces or curlya;brackets, which look liken;this "{}"@;SUBSETS@;Some elements of a set can form another set. ;For example, this is the set of flowers.A;The set of tulips is a subset of the set of flowers.B;A subset is: ;* a set whose elements are contained in 0;another setH;In general:X;set F if every element of T is also an element of set F.%h; P;a set T is a subset of ?;We indicate that T is a subsetofF by writing:(;This is read: "T is a subset of F.";We indicate that T is a subset of F by writing:;T:;FC;If B = {a,b,c} and;C = {a,b,c,d,e,f}(;then B is a subset8;of C. H;It is notated as`; B `:`; Ch; D;The set of dogs is a subset of the set of allanimals, since all dogs are animals.EF;To indicate that a set is NOT a subset of another set, put a bar through the symbol : :  ;, like(;this:G(;If C = {a,e,f,g} and B = {h,a}8;then B is not a subset of C.H;"B is not a subsH;It is notated asX;B X:X;C0; (;The set A = {2,4} contains the following subsets:@;{2,4} Set A itself {} The null set {2} A single element {4} Another single element8;How many subsets are contained in the following set?X;C = {a}HIJ ;Remember:4;{x,y}X;{x} and {y}D;b) the sets of theL;single elementst;{ } ;The subsets of {x,y} are:h;c) the null set(;a) the set itselfp:\$3K ;C = {a}0;This set has two subsets: @;the set itself, {a} P;and `;the null set, { }.p:\$30;Which statement is correct?@;1) D = {2,6} @:@;E = {1,2,3,4}P;2) D = {2,6} P:P; E = {1,2,3,4}Hp:\$3: means "not a subset of."":If D = {2,6} and E = {1,2,3,4},2:D is not a subset of E becauseB:not EVERY element of D is anR:element of E.b:Therefore, D  E.;A = {x ;x is a red balloon}(;B = {x} (;x is a balloon8;Point to the correct `;2)B`:`;A P;1)AP:P;B p;3)Bp:p;A@;statement.L;Remember:;If A = {xx is a dog} and B = {xx is an animal}, then A is a subset of B since every dog is also an animal.P;Therefore P:,\;A \: \; Bp:where  is read "is a subset of."E;A = {xx is a red balloon}(;and8;B = {xx is a balloon}.H;Since we know that every elementX;of A is an element of B,h;this can be written as A h: B.p:\$3@;SUPERSETS@;A SUPERSET is:(;* a set which contains8;another set0;ALLthe elements ofH;and?;A SUPERSET is:(;* a set which contains0;ALL0= 0;the elements of8;another setH;andX;* at least ONE MORE`;element?;In;general,(;a set T is a superset of set S if T:@;* contains every elementH;of SX;* contains at least one`;element which is not in SML;It is read:0;of S, write:(;To indicate that T is a superset@;T @:@> @;S X;"T is a superset of S."(;Note that if T is a superset of S,8;thenS is a subset of T.P;Therefore, T P: S is also S  T.;If B = {a,:b,c} and ;C = {a,:b,c,d,e,f}.(;Then "C is a superset of B" or C0:0;B.N;If X = {2,5,7,9}, Y = {5,9},(;and Z = {2}, then the set X is a8;SUPERSETBOTH 8; of 8; sets Y and Z.H;This is written as:T:XY`:XZ`:(;Which statement is correct?@;1) F={a,b,c,...,z} @:@; G={x,y,z}P;2) F={a,b,c,...,z} P:P; G={x,y,z}`;3) F={a,b,c,...,z} `:`; G={x,y,z}H;Given two sets, A= {1,2,3,...};and B = {8,9,1O} :,(;A is a superset of B because:8;* every element of B is contained@;in AP;* there is at least one elementX;of A that is not in Bd;It is written as:p:\$3p;A p:p; B.0;F = {a,b,c,...,z}0:0;G = {x,y,z}@:is the@; correct statement.p:\$3;Which of the following sets is a superset of the sets: {1,3} and {2,4}?8;C = {2,3,4,5}H;D = {1,2,3,5}X;E = {1,2,3,4,5}h;F = {1,3,4,5,6}H ;Remember: (;A superset of a set Amust 8;contain all the elements in A H;and X;at least one other element h;not contained in A.p:\$3K ;E = {1,2,3,4,5} 8;Set E is a superset H;of the sets {1,3} X;and {2,4}.p:\$3 ;The set X = {4,7,9,13} is the superset of which of the following pairs of sets?H;a) {5} and {7,9}X;b) {9} and {9,11}h;c) {7} and {4,13}H(;Set X = {4,7,9,13} is a superset of H;{7} and {4,13}.p:\$3 @;DISJOINT SETS@8;DISJOINT sets are sets:H;* which have no commonP;elements?P;Set A and set B are disjoint sets because they containno in common.X; elementsO (;The sets of humans and flowers are disjointsets because humans cannotbe flowers. These two sets do not have any elements in common.P (;The set of dogs and the set of humans are disjoint sets because dogs cannot be human beings. The two sets have no elements in common.? ;Point to the pair of sets):that are disjoint.8;a) {x,y};{a,y}H;b) {o,s,q} ; {r,m}X;c) {7,3,9} ; {3,2,8,9}h;d) {b,c} ; {g,b}Q (;Disjoint sets are sets that have no elements in common. H;If A = {1,3,5} X;B = {2,4,6}, h;A and B are disjoint. ;Remember:P;andK(;The sets {o,s,q} and {r,m}8;are disjoint since theyH;contain no elements inX;common.0;If set A is a subset ,0= 0;of set B@;then A and B are disjoint@=.P;Assume that A P:0P>= .`:True or False?Hp:\$3(;A is a subset(= (;of B if every element0;of A is also an element of B.@;Two sets, A and B, are disjoint!@; ifH;they have no elements in common.Rp:\$3(;A is a subset(= (;of B if every element0;of A is also an element of B.@;Two sets, A and B, are disjoint!@; ifH;they have no elements in common.X;Therefore, if a set A is a subset of B, the two sets cannot ,`; be disjointh;and the answer is false. ;If sets A and B are disjoint, the set of elements common to A and B is:@;1) @:T @;he set A itselfP;2) P:T P;he set B itself`;3) `:T `;he set {O}p;4) p:T p;he null setH ;Remember: ;The intersection of two 0;sets is the set of elements @;common to both. P;Disjoint sets are sets `;which have no elements inp:\$3 p;common.K ;Since sets A and B are disjoint,0;they have no elements in common.H;The set of elements common to bothX;is the null set.p:\$3 @;INTERSECTION OF SETS@ ;Intersection of Sets(;and0;Union of Sets@;are two operations used to show how two or more sets are related to each other.?8;The INTERSECTION of two sets is the set:PP; X; S8;The INTERSECTION of two sets is the set:PP; X;* whose elements are `;common to both sets.T8;The intersection of two sets A andH:B is written as A  B.H;The intersection of two sets A and B is written as A P: B,UH;The intersection of two sets A and B is written as A P: B,`;and is read: "A cap B."UP;The intersection of two sets can be shown in a Venn diagram by shading the area common to both sets.VH;The intersection of sets A and B is the set whose elements are common to both A and B. It is notated as follows: h;A h:h; B = {2,3}.;A={1,2,3,4}B={2,3,6,8}W X;Find A X:X; B.(;ABp:(If needed Control T =  )Xp:\$3;The intersection of two sets is the set whose elements are contained in BOTH (; sets.8;IfA={p,q,r} H;andX;B={q,r,s}X:,h;Ah: . h;B={q,r}Y ;A = {a,b,d,f,g} ;B = {a,c,d,e,h}8;The intersection of sets A and B isH;the set whose elements are containedX;in both A and B. h:A  B = {a,d}p:\$38;Find the intersection of the following two sets. P;{i,j} {h,i,j,k}H8;sets {i,j} and {h,i,j,k} are i andH;j. The intersection of the two X;sets is {i,j}.(;The elements that are common in thep:\$3 @;UNION OF SETS@ (;The UNION of two setsis: 8;*the set whose elements@;are contained in either set, or in both.? ;In general, the union0;of two sets A and B@;is the set consistingP;of the elements from`;both A and B.?8;The union of two sets A and BH;is written as A H: B.H;The union of two sets A and BX;is written as A X: B.h:It is read as "A cup B."Z; The union of sets A ;and B is the set whose ;A s are:>U; B element0; h;A h>Uh; B = {1,2,3,4,6,8}.$;* in Aor/;* in B orR;andH;If A = {1,2,3,4}\;B = {2,4,6,8},:;* in both A and B[;Let A = {m,n,o,p} and B = {o,p,q,r}. ;The union of A and B, A  >U ; B, is: 8;{m,n,o,p,q,r}P;Note: Elements "o" and "p", whichZ;are common to both setsd;A and B, are not repeatedn;but are shown only once. (;Given A = {1,2}8;and B = {3,5}X;Find the union of sets A and B. h:Use Controlh;U for .h:H !;Remember: 1;The union of two sets A and B is the set whose elements are: P;* in A or * in B or * in both A and Bp:\$3K ;The elements in sets A and B 0;are 1,2,3, and 5.@;The union of the two sets isP;A P: B = {1,2,3,5}.p:\$3;Find the union of sets A and B. Use roster form and p:Use Controlp; U for p:.(;arrange the answer in alphabetical  order.\:The elements in sets A and B are(:a,b,c,d,e,g,x, and z.8:The elements b and d are common toH:both sets and are H;written only once.h:A  B = {a,b,c,d,e,g,x,z}.X:The union of the two sets isp:\$3;If A = { 1O, 2O} and B = { 1O, 2O, 3O}(:Point (; to the correct statement:@;A @>U@;B = {1O,1O,2O,2O,3O}P;A P>UP; B = {1O,2O}`;A `>U`; B = {1O,2O,3O}p;A p:p; B = {1O,2O,3O}] :A = {1O,2O} (:B = {1O,2O,3O}@;The elements commontosets A and $@:BP;are 1O,2O, and 3O.`;This is written as `:A  B = {1O,2O,3O} ;The final exam includes twenty questions. To choose an exam, @;type @>X@;1@>X@; for informalH>F-GH;(with feedback) `;type `>X`;2`>X`; for formal.h>F-GX>R-T8>R-T?;Which of the following 1 collectionsconstitutes a set?(;1) The collection of wealthy 0;people@;2) The collection of well- H;dressed menX;3) The collection of comic booksh;4) The collection of all singers p;with beautiful voicesH(;Not everybody agrees on the meaning of the words "wealthy," "well-dressed," and "beautiful." Therefore, only the collection of all comic books constitutes a set.p:\$3@;A diagram which is used to describe a set is called a_ _.&;2H0;A diagram which is used to@;describe a set is calledP;a VENN DIAGRAM.p:\$38;Describe, using ROSTER FORM, the set of days of the week that begin with the letter T.&;3H;In roster form, the set whose(;elements are the days of the 8;week beginning with the letterH;T is written like this:X;{Tuesday, Thursday}h;{Tuesday; Thursday}`;orp:\$38;Use partial listing to describe @;the set of odd numbers.&;4H ;To describe the set of odd numbers0;by partial listing, write:@;{1,3,5,...}P;or`;{1;3;5;...}p:\$38;Using the letter 8:x8; and the selector@;method, describe the set of all mammals. X:Use ControlX;V for&;5H ;Using the selector method, we write: 0:{x 0;0;x is a mammal}@;or P;{x:x is a mammal}`;to describe the set of mammals.p:\$30;Which symbol, , should replace0>E0; or 0>N8;the space?P:2P;OOO_{xP;x is a whole numberX;less than 1OOO} h:Use Controlh; E for h>Ep:Control Nfp;orp>N&;6H ;The set of whole numbers less than0:1 OOO is: 0;{O, 1, 2,..., 999} and @;does not include 2.T@:OOO husP;2OOO P: {xx is a whole number `:less than 1OOO}p:\$3;Which of the following is a8;1) The set of all television sets.H;2) The set of even numbers.X;3) The set of odd numbers.h;4) The set {15, 25, 35,...}.%;finite set?&;7H ;The set of all television sets is0;finite because we can count its@;elements completely. This set does,P;however, contain a large number of`;elements.p:\$3;Which of the following sentences describes an infinite set?(;1) A set whose elements cannot be0;counted completely.@;2) A set containing a very largeH;number of elements.X;3) A set containing a very small`;number of elements.p;4) A set which is empty.&;8H0;An infinite set is a set whose@;elements cannot be countedP;completely.p:\$3 ;Which of the following sets is infinite?8:A8; = {197O, 1971, 1972}H:BH; = {a, b, c,...,z}X:CX; = {2, 4, 6,...}h:Dh; = {1O, 2O, 3O,...,1OO}&;9H0;The set {2, 4, 6,...} is@;infinite because its elementsP;cannot be counted completely.p:\$3;Which of the following sentences most accurately describes);equivalent sets?8;1) Sets having the exact same @;elements.P;2) Sets having the same number of X;elements.h;3) Sets having the same number of p;elements and also the same elements.%;1OH(;Equivalent setsare sets having 8;the same number of elements butH;NOT necessarily the exact sameX;elements.p:\$38;Is the following statement true or false?P;Two sets which are equal must be equivalent.$;11H(;Because equal sets contain the8;exact same elements and theH;SAME NUMBER of elements, theyX;must be equivalent.p:\$3(;The sets A = {a,e,i,o,u} and0;B = {o,u,e,i,a} are:@;1) equal but not equivalentP;2) equal and equivalent`;3) equivalent but not equal.%;12H;A = {a,e,i,o,u}and#;B = {o,u,e,i,a} are:3;equal, because they contain the ?;exact same elements,K;andW;equivalent, because they containc;the same number of elements.p:\$3;Which of the following sets is the empty set?0;A = {O}@;B = {x @;x is the set of grade seven H;students}X;C = {xr} X;x is a negative numbeh;D = {x h;x is a whole number between p;2 and 3}%;13H(;D, the set of whole numbers between8;2 and 3, is empty because there areH;no whole numbers between 2 and 3.p:\$38;Which symbol,8: or 8> @:the space?8;, should replaceP;A = {a, b, dP:}__P;_P:B={a, b, c,...,z} `:Use Control`;for `:`; B h:Controlh; P for%;14HC;A is a subset of B since every 3;A3:={a, b, d} B={a, b, c,...,z}S;element of A is contained in B.p:\$30;Let A = {1,2,3,4,5} and B = {3,4,5}.H;Which set is a superset of the other?`:Use Control`; P for`:%;15H(;Set A is a superset of set B because8;it contains all the elements in BH;and at least one element not in B.p:\$3 8;Describe all subsets of@;S = {x,y,z}H;that contain exactly one element.%;16H(;The subsets of S = {x, y, z} which8;contain exactly one element are:H;{x}, {y}, and {z}.p:\$30:A = {8,15,22,30;O0:} B = {15,22,8}P:A and B?H;What is the relationship between`;1) A 3 `:`;) A`>E`;Bp;2) A 4 p:!p;Op;) Ap;B = p; B  `; B%;17H ;If A = {8,15,22,3O} and B = {15,22,8}0;then A is a superset of B because A@;contains B and also one element notP:in B.`;This is written as A `: B.p:\$30;Find the union of sets {c,f}:;and {c,d,e,f}.P;Give your answer in alphabetical order. h:Use Controlh; U for h:%;18H;The union of two sets A and B is ;the set whose elements are:0;* in A or * in B orP;{cP:,f}  {c,d,e,f} = {c,d,e,f}or`:{c;d;e;f}@;* in both A and Bp:\$38;Describethe intersection of the sets {2, 4, 6} and X:Use ControlT for %;19 H;{2, 4, 6, 8, 1O}.H ;The intersection of two sets is the0;set whose elements are common to@;both sets.P;Therefore,`;{2,4,6} . `: `; {2,4,6,8,1O} = {2,4,6}p:\$3;Which of the following pairs of sets is disjoint?0;a) {4, 5, 7} and {4, 9, 8}@;b) {a, c, e} and@;{b, d, f}P;c) {1, 2} and {2, 3, 4}%;2OH(;b) {a, c, e} and {b, d, f} is the8;only disjoint pair of sets becauseH;they have no elements in common.p:\$3 0;Your score:H;\#AG percent^;USE THESE WORDS TO:;*Go to another concept:;goto, show me, teach(;*Review a concept:0;review, review all@;*Test your progress:H;exam, H:testX;*Ask questions:define,`;example, what isp;*Other commands:p:scorep;, overview,x;quit, x:again, restart, resume_ ;OVERVIEW !:DISK%; 28:SUBSETSJ:DISJOINT SETSS:INTERSECTION OF SETS\:UNION OF SETSe:FINAL EXAM ;Here is what you will learn (:odisk(;n this (;:A:SUPERSETS?@;THE END` 8;You will now return H;to the main path!8;Subsets8:\$6 :Sets and Notation;_!(:Disk 2@;Supersets@:\$7H;Disjoint sets\$3:SCOREP;IntersectionX;of sets\$4`;Union of sets\$5p;Final exam \#AG percentabc&:When you learn about sets, you/:arelearning some basic elements8:of logic.F:This logic is essential toO:computer programming. 00||l|88||8||8||8|<<><~~<||xx00<~~< 0``0$ff$<~~< fffllll>`<|fl0fF8l8pvp88pf< 80 0 ~~`0 0```nff>fff~fff<<f<flxpxlf`~fv~~nfff<ff<f>``|fff|<```<>fff>ff>|``|f8<p``flxlf8<|ffff>|f```>`<|~f>fff<|lf<|~ 0~0p p` 44b~l|88||8xx8||8|<<`<|fl0fF8l8pvp88pf< 80 0 ~~`0 0```nff>fff~fff<<f<flxpxlf`~fv~~nfff<ff<f>``|fff|<```<>fff>ff>|``|f8<p``flxlf8<|ffff>|f```>`<|~f>fff<|lf<|~ 0~0p p` 44b~ ~~~~l|88||88|8|8|8||8|<<><~~<ff{>c8ll8x~~~<~~<<~~< 0``0$ff$<~~< fffllll>`<|fl0fF8l8pvp88pf< 80 0 ~~`0 0```nff>fff~fff<<f<flxpxlf`~fv~~nfff<ff<f>``|fff|<```<>fff>ff>|``|f8<p``flxlf8<|ffff>|f```>`<|~f>fff<|lf<|~ 0~0p p` 44b~ ~~~~l|88||88|8|8|8||8|<<><~~<ff{>c8ll8x~~~<~~<<~~< 0``0$ff$<~~< fffllll>`<|fl0fF8l8pvp88pf< 80 0 ~~`0 0```nff>fff~fff<<f<flxpxlf`~fv~~nfff<ff<f>``|fff|<```<>fff>ff>|``|f8<p``flxlf8<|ffff>|f```>`<|~f>fff<|lf<|~ 0~0p p` 44b~ 0HH0~$ff~f&$,4$d<<f ~Ù}xc8ll8x~~~ `` 8||8  $ff$<~~< 888llllllll0|x 00f8l8vv``0```0`00`f<Aa43Aa4)Aa4'Aa46Aa4BAa4AAa4BAqrstuvw0`0F1a4BAxy0`Az{|}~0`4A@1a:QAa,5A1a&A1a" A1a A1aA1aAa'Aa 9Aa :Aa 9A@2b 2A@z{|}~0`4A@1a:QAa,5A1a&A1a" A1a A1aA1aAa'Aa 9AaTAaSA@2b2A@0`2b/A@b-Ab+Ab)Ab(A@1a 'A1A1A1A1A1A@1aAy:4:D88N0` 1a:TqA0`41a2b(A@ 1a3cA@ 1a3cAlkm1a"IA0`L>A`J>A`H>A`F>A`D>A`B>A`@>A`>>A`<>A`:>A`8>A`6>A`4>A`2>A`0>A`.>A`,>A`*>A`(>A`&>A`$>A`">A` >A0`A@0`A@ 0`Ay8,8<88N0` 1a8TqAxA@A@0`71a72bA@ 0`71a72bA@0`A0` 1a4 A` a0 A` a, A` a( A` a& A01aA0`1a42b3c4A`a0bc0A`a,bc,A`a(bc(A0`1a2b3cAxy0`+1a02bA0`*Ac.HAc.RA3c0WAA2b8"A@`4U2b:J4d8"AA`4TA`4SAAA@2b8"4dA`4UA`4VAAA@A2A0`>2b>5e4'A@4d0Ad0Ad0Ad0Ad0Ad0Ad0Ad0Ad0A@1a@Aa>Aa< A0`>1a:2b>3c< 4d05e4'6f7gA@3c<$A@ƀ0`&11aF12b$VA0`1aF2b 3cB 4d5e6f7gA2b 3cB A2b 3cB A‚ÃĄ0`1aTA2b}3cbAbvcbAbocbAblcbA` aObgcbA`aJbbcbA`aEb]cbA@ƁǂȃA0`1ayA`aoA`aeA`a[A`aQA`aGA`a=A`a5A`a-2bT3cHUA` a%bTc>UA` a!bTc6UA`abTc.UA`ab Tc(UA`abTc"UAabTc UAabTcUAabTcUAA =&####ꪪꪪꪪꪫ꾪ꪫꪫꯪ꾪ꪫꪫ꾪꾪ꪪꪫꪪꯪꪫ 꾪###+.++++++$ꪪꪪ꪿ 꾾꾾꾾ꪯ"++'꾾 꾪꾪ꪣꪣ+++++ ;"????򪪯 ?򪪯 ?򪪯?򪪯?򪪯??򪪯????򯪫? ??򯪯 ?򯪫????X? ?    ?            ? ?    ?    ?  ?  ?   ?    ? ? ? ? ? ? ? ? ?   ?  ? ?    ?  ?          ? ?   ?    ??  ? ?? < ?0 ???    <0   ? ?  ? ?  ??3?<? ??<    ?  ?  < ? 0? ??3 ?* (" 00, (  (" ? *?** (?0   ??0 A?ꠀ??( 0`*??7=*C4(?_U<?wAU]T CWP?@P0P@TP?4?? ?@? ?? 0?????? ?O,3C:P< T B R AT PU T@UTUAP<UP?<UTT0UTT UTT0UTTUTTUTTTT !   ?? ???   ? ? ?.*??ʿ+?*?ʨ?/*?+?(+ ?  ??0???<3???<+$                     ?    ??       ? ? ?D   ? ?? 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