ࡱ> `!+ KAq_͸M|P@n$ uxcdd``ed``baV d,FYzP1n:&q! KA?H1: ǀqC0&dT20 KXB2sSRsv,\~ H[T TjVxA8?@9QbBUoQ>F?5qA͝ Ģbp@dd%\L7_ 3Ɂ nR'T,OIr?lJ p$@penR~"N.錧B8/FxpM28% `padbR ,.IeX2B ]` z2̀`!S18U5MيR @pxڥTK/Q>cMYX !⹔HXZuERJ#$X5be! %l,N@T!NnN|sss 4 MKXmVs_53aV7`sg3|ʬ#6s!gb /'cB ~2v"sעȭfW<}@dO8j&gtc0|M2'\=vJxKX7oFQJ9gѾ9sw4% xcdd``> @c112BYL%bpuNYE%0}-젨ˇ߀ El ҟT ppQY MbEws3 02M`a؋%0@penR~^nGOpHX2MOdfA|[>ly.hpp2eELLJ% @bM D<b@Wf~Sno*u.R:PNG  IHDR5sRGB@}0PLTE{XIDATxͲ: ˧۵HY*X Kt]IhBp$ʂ %HT, "{ #(oΑ//|ޒ\1gZs(:"hih*79ިY,ҔhHw,'cA:Gbd,,e!d`9 lWseQ#LQ<:{ިX3P]к z? m3,K]= zbY@L]mզte;!}7cm;,c@)YxQ0 ,XeLJbV29ؕ́eY;X,jQIENDB``!@ݲtn1-4h  * xcdd``.ad``baV d,FYzP1n:&&i! KA?H1: ㆪaM,,He` @201d++&1X +|-ĝT Tc@Z5+a|>k 17cGw#IcdyGd/ܞqPPfqAOAZXTR 1->̼N'^Iy0n/l6u0mʃ9_^"63K,A 27)?x*3  \ #li nM `pJcdbR ,.Iepԡ"Z 183X?[z\0"' Iһԃ(#`??????????????????`!p_"n~yn`+ >xڥkA߼lmlm- = QЋhŕ?l!.')ڛE/"!ރ^DQZ h3&lmK&{}e?da;BL0c`=f39Yd)@*2Rc8tu8޳]APc%4: '`[}1ߛm9q[m1yHc?d0|\? 2Iޖ4񧤞9҇Kp*8փѱ-Os8_a6'^Ͼb z֝5Kގt7͵癗z,lg]^dnj 6Yy' ;W AM'=d߫->Vsͧ"thzJX(]{.P 7j/IŐ(@)`(?:xcdd``ab``baV d,FYzP1n:fM! KA?H1Zi201@0&dT20<_&,eBܤvOv,\~ eMT T~2>y\cd.`LU/Q=xA|[8 ‡K?] QB2sSRsp.F߂_M YpJp(|'nT`Y X≬Ń*ĢbM] caJ ~ ( k%@|D7EY1̬E5_LkAT3 x frBA./LIa 5ҢTCL`[Ja|3pjrA8߁=Ĥ\Y\0 @ ]` z``!Cae⿥B۶:r@H xcdd``bd``baV d,FYzP1n:&&Q! KA?H1:20 UXRY7S?&,e`abM-VK-WMcرsA V0Z~=m' P.P56J`iլ{A+H,*)RS{>،D"fbQH򃘙ĜCL`[r`|3pHj$22H> 7yp~ _s?>KA 27)?kvS!1q'#ܝ #Qm<4}p8!@S;+KRsvePdk-υÌ$`! ѯ//ˇ @|xcdd`` @c112BYL%bpu #1B\PrC-_=0ddbR ,.Ieԡ-υ`~ P`!k*K2]DRxcdd``vcd``baV d,FYzP1n: ,56~) @ '9ˀqC0&dT208 `[YB2sSRsv,\~ 7qqsi#g| 07*{ʳ1Ba = 2ۣvB%' d%楤Tlcȃ&aq W&00pr5d<R1] 2Bno _aqA ƚ;+KRs@2u(2t5B uo`!Gy#X@' @ xu?K@ƟKlF:.hC* V NN :EN{yx! 68)gw"X1Y.Fz@p%^ H `eY;) r}4TRAtꭖqy7WնWwiHߘt[r-A8֙Zľ3't̞`t략F|i~_ܙݺ/>ez?_|E"gg&kAQvq7jC oϹϠ;ΐ3ug- TWN!(lrݠw;Z%ZHijq>Q;h@ȣm%NFbZ]ą`!+Ph~D'7 |, xڕRO@~wR05c\\\iph&LN ?C5dBwU6w=)! _,JHhtx Z, *nup.'K> lޱ; `WhˁHQT0[am߾*3vWQ%_69Kݔ-VI/5 E\90"E\Š2Pj[#cޖYY"`f^U.*U/ߪ`:IN;}tV|ndkn q7XuzIe& yM'AqĄJ*1ڨo0ր 3\Xk@hրx3x}[Xk@` A\ؙTIENDB``!\V1mQK0>R.d`@ |*xcdd``ed``baV d,FYzP1n:&6! KA?H1 l ߁qC0&dT20 `[YB2sSRsv,\~ He*F\ XA:s+aL ~oU* W&00eZt@${0ЅcCQdI *J.h(rCl,4 =adbR ,.Ieԡ"^<b@3X? f`!Teg):.ڭ|  "xcdd``fdd``baV d@R`#,=F 7\F! KA?H1:ҀqC0&dT20( KXB2sSRsv,\~ LcgF\  p~+* 3*#*_& Ma`8Υv02H` w01@\(8Xn``】I)$5E. x\V120e S`!7؜Ptc#@7xcdd``~ @c112BYL%bpu}q &L]$ׂҖl,VO9<g,c!.ڰ$#%ׂKH , 񘂟5h 7`!H|B&1sߙϔ pxcdd``~ @c112BYL%bpuT} > #1B\PrC-_=0ddbR ,.Iepԡ/ 1 ,qzP`!AXaYo_Y#7xڕSkA~o3IjLKh*D)ԃ x$CۣM-MRۆE<z!xȡ 'O^/8b yof؃ |ߛ{,#=ʊ DPcFqrV %? U+4TZ`9M/o{pBE AτZP=- );D릴hRh*sAc 䬎cC6V'~orAv^={G|Kn(^7كLPoq-n7[2#'B> '|x@.Bوo% Q[o219%8Y`!9]=HkSA:`!xcdd`` @c112BYL%bpu9/PÏh. daEkq5a^HmX*2G @k PW00d6cm"zM7,PCb㟈qb b8`pEC \)q *ڰb(b(=P;4h$3݋f(c̸Ejg 5'ƀqDtQ %xz XoșS?}0xa o 86R܀5 7Ya7P:wXUb02X)j]fLR< *Cnyy)y cؼa` + 3810na^A !05N !CoWJ *̜cpM||2?-ګ>oln p*1Q=D`Qr1sOnA0#Fԉa<̩#㠈8oWJg-l&Q}op]f-.uoAn]bĜR{g?ƀ3R4>h@ݾb0;yKs a12@ @ 0pM @ *&OWи7ת=r wǰ5jϬ\ zLjϪ\ zRC'+Uf`/sՕ0 uw  ] C^\,╋aws V.@V+c 1VȫX@yurUA !0`ƽ}I @ F\WJFb1ҏX Ur1G0*@*@ZE(~c BTfU^!0&!bPB(-b, };z4_Y&3X.1l^ o.-+>uJक़V0L^?㥘W0*VI11t qo_0N]B*2ԛߢ u~(bR{%0Twİ w!ٵCˤ̏gÌ^&;B_ۧnMNnn \G7s!~Vn{wr/Ow7Us>ݺߨ׶Hgtߠ3Mg4~AGx 9ttؐsFg/ڞ>lȹzz-S_I?_:XS{6; vNJ~_.Mw~It4C?|>B+?#tg˃~+*t,>g"AyA9,xʡ\/z)Ӡ+1xu/~.]#8 'C {\J.y_E-'W޾T|PoJ/f/وw,UѹZ6~G7ƒM:ѭ~;xaLgKה]>//e:]ԥ2Dt[)ZHJH1^ kJ}|>=CDr gYS?=sCDag\S?O=j~^[h"]CM)D|Po:bҥB*VS*?=g,ut-:RMCt[&3:R0:RqӣՔZʼn晎V(H5Vjqz9' :=:Va_Tq {M@*NjA'(w[~Y!i5t5TqZ5&_Н *tSY.݉[ [CtD%8u f9V/N顆 ,jW8D/5.cLv)t9:Jq"M]CM JcWxܔti:vrq"jACՔB'R]:\q"jԔR(ND;O[J'_ަ&;t?΋/_)rmV(oS{2N}ۧs̞mo7oN:6O|O^(|5RmWgЛ&^[GaNvRj&4x&='I/%.gt# n<"-C>(4QϦ{sLo:Mw:o ipJS;Ɓcѽ" v6PsIcmx'rGnWt> TޏC.GZ}57L%OΦϵ7R{Fqdq?ݍo0(+~/e*Km(}=8at=# G 7oVpCѝjanUjVh[t=#&mq͵)D;hK{FMNrqtaV.z&?Xk+e3fObmN/Y nѥ4t.M|>\9t>ךìMG'vmnOG_p+~щ]&p|Š`?]vH:_埑+~ɶ]&wOD}GĊ`;]v bHOA'Cui49[Wt> ƃEew9[Ot>f꣗ӣѓYӉNh73xiN&]CD'5ٛkNm:rD'6[7'as:dD'7ً'x:# N~O}8,3%t$:^ӊG]27#щN §+2 :t_n\Ia:sG}'{q ۹EGK~sT4g C禔]/m B̗2Ma|=-2 ?|d_ 8`)S={?Ntq0l=Zth{t ܝvE)>s,2E%0]o]L[thktK20OzȲ)v!fLEwNKt 6G׶EN:^bdvoowFoNb$LFqNcoU:N:ѽbb^o3t_'~h4-t_vIVXcu.wQн('{wOsW:Vb|F|L]>xߦL0H=OꕎӹV!~AGMh9U>՗.[SfnH1<8ܢ1O]']߼tr 5=R0t۽{ol}NK',ӷ^u,fQuiy?:XttO?ѯ"7}hNq~6^H۩e to9|w :NSI.~ctx?&3<}.C ;щbco+dj90vAWnTL2J\\+ʢF;KyR;e|@@a=Nsd3Z^ .|p9 0H'abq gFi˦Cӯ(I鄾HKЩ դYc!s釮 ]y=N"b j9)*KЍSpHGᦢ\, qvйOhvNsq vW 9~G&\ .H>%CCNs3p|A;Ѥ@W_p@`:м%'49;]2~\,Dw?ɏN TNs4]qbA*d0ztb5O?[t-rF&{nt❋x :UM ^4DazOttrG,N0A5/>-`=ĮA7.=;\=R_jӄA:zRB499zfJ tI([җvMԨ~ ''U^Aa<]<]:6QC]k*a} ا\N+ UD~ :z2t'Kt2w@G- eV|tm㰏]ek;c72D% y:a]jONw?Ct BK /@P~KC_Ξϔ2]v:``5t#ѥ◥,SEKsBG}BwyOS?TtgsrC5t9?]9[tC}v;n_N:KǡYb9NU&й{%]*tV>*tfbP3B%EGyWK,ǒA2K,A7M]sFV p%g*]g:y3@ g/~ӁreӣS#>} nNϙh;J|AG+W7t>n;]ҙd2QK;_W9&PU]]&roa9cyǯI7ê[>Q\a['VZOt_>OsUCWTt9)/wrhC}NJijJm w;-`] 0Ӑ`#sIn8;~ :N:;tD?C :30Й/Bg._ Ew?}:t7;rҵ}\5}qn:&#oMFB7+]oMM}NR"tǠo9Bw0]m\/l݁gm :Vkl /_-tyς?+oYБg-?\2IENDB``!u@Ck6ߓ8*`(V'CxڭOA(.n %5=@FDz&@I[P6OJTWj[`{Xz aøcn 1U37hu,7nxј^]p>f\lS͗3vƹ/ _} 3n|̢7"φʓ[)>^@:)6)~_\unt^g\zmսUkJ bZ)癈?M~%sA2^~T 񕴩L}cesz}t>S>wt~iU܃FtQshѹ@ߧhmR:#܏Jq\?G%{1;8]7}[xy@\Цxƹիaq .x-= /0(n"mQ1ŧxPNG  IHDR]sRGBPLTE@!>IDATxq:&`fbbP1]0~Kg'WW/\oTo7cStMyh;Zw5)kCSM׌Mq]#➺6<4tMxhZ5)n)ns)n)ns)n)йgOCN}.2M6ePStct9< g(]e8^Ymp[ݕ:.fx8CwὃPn<gμ7хgL:%8[7r~}N(=xtgf'FRw 3b tO鮸i1[eu}\wGHV-1!یhm11mUS=q;\wg !DK[N K-5-"IS4Zu[ĒH'l;3h궈&&7:&ƙ3t'&wUTFE"4qI_$đ[NyQ܆w[$Hm;%EqkmN"Mxj͗<UQjqIGeu&n9xl ugjQt\VgVc5 ^lb8U#:qljulVg6#QWԬd-Lv낗\Y3xirqR'du&1|-Nz =jtRV'l{ᱸJ-N-|x<T SӬ׍uJVK}ݠƗ봬GӉSZZ N"BnuҔNfuCN"B긬n SZZX :f^. N U]j^t冃guC.>/r!GR]l^tCn\0_ݙ0h8ЅEw*L-.DvutNKEDvC%5/RH"n;/RnDvCEz^tu*솪NKE7gId7Tyn͒nΠk=npfЈnId7"3hZ2u$t4b-npӍj*%[7v꾺꾺u.៸tOGH|nv>N#[nm%1:.0|.pۼcv{3nuw^>x;%n+K3{RG|QG|PG}OGߧ۝N uaqJK_[w>1SZZ]pG ťZNuGN! 8OK^,^#y"x"/(Clqث%C3:HHrt^}+H}cR9&k95%x%t݊%ģ<$STZN9%KDxH$#t ^< ƃИ{bdMG_+[x&{LLpެ%Z\7ui3h"F-@7uo4M- \Ju7x .{:ox $.:x b~VKGn 6ZBݕבfpn/Q cq6{u$ӝy4?^GHq6E|;x.t|΃ZGOb<^I-TȿJjOuyHI/T+GOj@~-)SEGOY =Uz .Sg|.W|G%\nͫ:|ݒW Up92jJtOǥ*twe*qe++b@1PwC(ŕNhO;or{:'F{^xbWybWWCGh^\:J$O*j<1ګh.z O*j<1ګ3ybWWWgh.nʸںOj<1ګh>AўCwўEwў G=N 97¹Op:q[?ΙgTIENDB`z234jz{_B(#????????????????zOhm"7Fn(#H??????????????zq ңx!ڱef b(~#0??????????zE]+G&{"=/ݠn?QK}yw.]{ޥ=zhzsy&,uA]rޒRIENDB`nuhe/2PNG  IHDRЬNgAMA|QuIDATX=0QdJkYڋpJ6?LJ7I_Q"?"J:%}!2@Fj%h-{Rt!?h,# {Ujx@ |_@( ePf̓hL*i7A1w?IС1@<$wƵO̓hL*i1|~ B0( -M0ym^3O1Ju|f +D/; aE0$ dZc|gDpYy)<ƤB:*A{|p>cؓ.us )twP+Q[J@uq<ƤB:*֑(cIENDB`nCzQ9wPNG  IHDRz`77gAMA|Q(IDATh1n0E?$\,tR.Bn1b3xFnb-2IA34 5MQIAI~2+/4d _1"gd@컵_1Prj3@=z@F `>!#Z4AF[T_8د;T@٢XrvML5tL+I&A1n;c{K4 x:Ƹ`0[ sr5钻Cc`r099(~bvjdzeǒ_ɯ\3~ ךs_3|~ὸrvML5tLUM矍9x ,aa΢9rLرC sН[f0\blqny&tcB9&tcBwU2;ʋf0;rL ˄r$AJCiv破 K¸/T`4yz9(p0<2%f3`:6~Q#F05k\yI&Mo/ IENDB`niBe_e[u PNG  IHDR sRGB@}0PLTE{IDATxQn1Pn7h4qAZ0͒ub@|_Cnw/y2q62W,*LbQq2xWsAs|XT xjCڸ-:,ct y<^E r7oijxjC??Y7ƅmasCmXףED%_`-$ݟ@7 "7.1~nqXpsW:Mpon[6q3cܮXKQ. 4Jo)bqs˫o6O{#⑥h?mC|#R^"69, 4JopoqO{#[_ Rt#{ +H yQ W}K~RDb}}V'/O%m~K<۶?Oy"hWs$P!¹\> ;}KKs)rp!¹\> ;}KKs)rp!~x4 IENDB``!="We^yc,{9f@F) xڕ1OA7T8.pFbbGBr@T0[%^֜51TTPcax{7;E(doޛy3A8\|rrybqƔx#kԿY|*us`C1ؒEe2XknJwh I`v8 tpf~vժ SR=$bӘ%$=*9 Oj}f[6#yg8˻J^!z:@$ֳ jx 3h՞EP>* Wr8D^6vLRE sʦ݁:#=Itj"|bg^dA 5R՚z_{"w#e,/ }s* VC!&N/:0]hFGZܹy5gU@yHԵzm$D}8m~U :c 4nV`SzɃ=J'PNG  IHDRRD0sRGB@}0PLTE{ZIDATxA0/KL b(A)Rli:HQ NL+RudNEgkk#Ý.c.|ԑjtрH',$"4lH[–ӔAunVػ*e wJCڇΑ:hQFgi`_aiʠ:z<!z~4WUGAg鬔-th;:ѠsEj@j)7:2\u8Kgt}CԾ+D尋 wJBΑ:hQFgi`_aiʠ:+仳 IENDB`n]d^݃PNG  IHDRRD0sRGB@}0PLTE{)IDATx0 D^ss唥l*!6 ٷvZI  d&7'ya*8֙X$ ;)36Med[a!%& J}ˤds!p.qHɬdk!p pfh 0X8Ep;?8 ?~$p} ;|1&[Yl#!xPW9iȉUb88YT8-0@P)JtYzc'wpxW C}S,FG_S7ge:Vq[ี-4e#W1n88$rWtWN<'pfh 0X8A88`?LIENDB`nL^Eh|Թ|F~PNG  IHDRkP,QsRGB@}0PLTE{IDATX 0 ClJ('Z2EX3-~hC> D T5RjE]`M T5RzRlEF,E2{8䙲0=7 cyY8W/EcO"W=LRyjee(Z[| WF| IENDB`n_|!6PNG  IHDRNIsRGB@}0PLTE{IDATX @ ep]EnI`@>N:gyx=x R~;9b-ۺa f+ĺf'drС7 ub]P&'5)vyږ ub]P#LʹDz}[ov$[vVi[Vڅ*yeZC4zک݂&th-Kny뽎dvKۢ.uaOҲ[ziS|S/zi::wD{8&HOIENDB`n9~7I@PNG  IHDRONFVsRGB@}0PLTE{IDATH픻 E?.Kӄ`cNs:Wmq&w1>݀GPe PEL( AY,{2A΢cy-4}̃k_ [(Xy8"rL νZ8M6<^i "2KbA|n+WS#IENDB`n}7ĿJ l*PNG  IHDRTeMsRGB@}0PLTE{IDATXWA0-@|S%-b `,U9-뫐L[C- 9V%̩³!rԣVIm; `~gX*O_,"#^% h/micYϲ˱br-m0sP+|n԰S0A>Q1ѨJV, ʲ=tB>Wq2,԰ 5,#,#,#,aP1=IENDB`@=%z|[G GT?] ( xmRKTQ46:.25 4]\A>4bDgQiτ\"]%o=ܷpR$j"&;7|{~{%b6P%iuG ߪAK߿$8%oVu*ɸ`(O&yJm !Ąnydk1\s%%v!>x^acVlH\vlĚI }~А" v;NI9U޽J2mGzm73UW6'[=L?]gic_}<3 {߫C[otrՕ9||WԢkD齃){ٴIW{ф9\k8l-:+P8$c; |7r$b-(#g1ݹ}ñSxb5Ȯ۽}KN[Bqb;ZgwV/?F{ `!a.UWl - 1kxڥ/ACF7MAD8:jgɒ bF+B"NM4$EDXfw6Fm&;7SeP^^6T(!ΌP˲49*ݸ*hZ:|CqNظiR' ´<ܯK]LJ'4eepc 9yX`7`~lyp)xg_(ɓT웂]^yJy<ԩYN|auN/gɤ'8uV+c^4,/y?~.Oi?ZɓXGUEN #\}r|Ⱦ%xxzLK䪋V\߭r.Aos9(;T Mj;{ `v<*?\9BitLg lG;lصqV'$ڪnv?> kwYͺaPNG  IHDR ZsRGB@}0PLTE{IDATxM A>[V\-+Oc#ёp*D>PlE(W_F}7P5`DŽ5M:}kOc|6fP$(;z |seZC|NuJ{~R>Ơ= Jwc byܓmVdcsQconLsIGC(4i7H`0ĭ7Q%GzS W;lMu$zup9r Go%M5#d$9!1,}  G$D1JS k;5FM_~`HY{dΊ9ŰFM!e<^`(xPHĴ\2,5\5j z5[L >Ù1Ec[( 1\PNŤ%Q3Yydi_}+GR0C 1& ͏aJkaaKaBڞNI1LPcäM\)gID9nhR#Gjq &aNOXy cHYasJ0gXo " +3 -Tf(૟ zdaj*s-c`ګ|x'3|nGΩ=_٧~.ytW.e}O.Cn؁daJk88Rhnb99(bb+'[SnX/XŸd:|7Pܓb|ă}jR*`'y$ay>A1|x7\1T ld,W bP `+%hŠCˆqEcJZ7\́1a?Okc4``ڛV.=TIZ7\ zĒ{gNXu' Hݝbn~ft+ JDH^ذ =n6ªr1dƝKO/rKΫjo]۲ϺUغUD`mpR1(0 땒bA/X)\<^wbS{b 0<^we*%Z2 ,E01DFMq(I˹>i>9kOr0Y/|0/|0LK[A%[!?&I2XNf, T_.r1ՈF4\L5>!)R "42{wVb! BA-B>&$՞e*?K *O#.%7_ YUud8&sCpyҹc }afٞn#HTCGʷMfs#kTX叚GZRKjĈɿA ?RdBK798՘y决S 5՛DH1Q<IENDB`n e9X*PNG  IHDR}r-sRGBPLTEٟ IDATxܿ,p-Sn*)lJ!\ %daD X#$fC Oew|%h\^1{+hH}?v/ӰNo>h>8^>(ӰN=и(6k7 ﵼv#p l‡v#Qǫk7 V(l5Wnd 5v#[pLl2F#Зv#ڍl3m?|м Ae+i {%Yh\^8BY@!HkV4}PVi$ 4zp#M YùL FpUu8ЬCª%*֠u<<5XI,C;Z 2TMhhB'um^z ~AE:d}UKN̠jCAu MжȠ7'ݏ_IdU T&h[PdPB<0AduM5U}dPdC;dqUpP7OO*%qPdp5J2j3xK9ePPe%"GJEd!/tWT%=sʠ.?~A[B#TC8 OXT9}’Ρ<mEp $&@>:J',B‹ APdECEa@ ,cOB,@~{a{aV{:a{:aJWmƞ.hb om90MlaTڭ04b} $UvLMtPlm ?0O>e$5T#!!8~s|2E<.?ks|}XËO~5Q|:䣅_N/“{||+x[`#ףE2q>a9͓?ޱ :<|%<[XG`<:c}+/yr(',10OE<>;\'"yh?>|#"y2R~Y',s)%,qy2(aɱӤɱku8OENw0L3 Ncw!xO XOwS#xYe=)}e˙E)knقJP'nirE^Zg姱u[wi%7r%yO :HT.vOM'/$(#i,\ {;" xvk)OrUwdQ\GL#<)B _++BpQG:"0Α4(FVGVTYFN$af/~/ ~Nw J 뺉q +*l&DLCaQ5>"q U ºjb}UIQa[5>胪(X-BUPXM3* *&ǧ@e[J 1—(hX $.XC UM8C< ~#hB‿jqFqױ%# ՞CR:ʸ~:+V "@[ĜþB0u/f\W;4S> jimsi}Lq`G %uQdž 608щ.[C'!ֽ66@FW@nPzaPo&.1CM|Bn]hQ M\>96qqfG]Gmp\jAnAʸ=cvOmq{&3njYr 0IENDB``!|,j,2I8 @L"xcdd``ab``baV d,FYzP1n:&1! KA?H1D>2@0&dT20< @201d++&1X +|-`McF\ L pȉ#3D{D{p$*# 1`8l8ߔ "?F4;3{3@ŒP 27)?(Th곂{/.sٹ67}-B{3a Ǹ9LιLLJ% q s:@Ds!t?0a\`!%<7z&e>N^ ۢ` ^xuK@ǿw4-6d]ĢUR!RXNA qI0ޏ4@/<}/^v@er+ЉG Gn8u\m6DfطZ*>sVsFŦV: ȅ9-BS$:jEgz@-Yg%kQ3κ> }C!lT/.f$ !.דN70XB_%ua2K _k`!czAHG[yxև1xcdd``fdd``baV d@R`#,=F 7\S A?db7~ĒʂT 35;aR&br<K>bi2Usi#z ƕf5&ηA k1 |,cBܤGa3OpDsm={P |.hhqC, 0y{qĤ\Y\pd/P"CDx. +[2gNY.`!FC& 騌ά@Cxcdd`` @c112BYL%bpugѾ9sw4b$o*u.R:2$@ݲtn1-4h r$\0"' Iһԃ 2$_"n~ynx52$s=>j/IŐ2$Cae⿥B۶:r2$ ѯ//ˇx2$@Br8r\$PH2$k*K2]D2$Gy#X@'$2$+Ph~D'7 |b$c4aHR2$V1mQK0>R.dd$2$eg):.ڭ|\s%2$؜Ptc?&2$]quI͂"F G;)2$|B&1sߙϔP*2$XaYo_YIK,2$9]=HkSA.2$w9FzN)D/2$ uC0b$}0t( xѐ522$r,e95[*J|^H8b$hJ昲%&Fh92$@Ck6ߓ8}Nb$"mQ1ŧxPr$234jz{_Bbr$Ohm"7Fn;fr$ ңx!ڱef byir$E]+G kwYͺa~b$e9X*2$|,j,2I2$%<7z&e>N^ 2$zAHG[yxևk2$C& 騌άN$2$lX*f2$@9xg 0AA @z ʚ;ʚ;g4BdBd<: 0ppp@ <4dddd@k 0td- 0___PPT10 Z___PPT9<4?  % Euler s Identity0(Glaisher s Bijection($  _ Let l be a partition of n into odd parts If you have two i-parts i+i in the partition, merge them to form a 2i-part. Continue merging pairs until no pairs remain )).!Ba A Generalization*Glaisher s Theorem: <(#(  #Another Generalization: Euler Pairs$$Definition: A pair of sets (M,N) is an Euler pair if Theorem (Andrews): The sets M and N form an Euler pair iff (no element of N is a multiple of two times another element of N, and M contains all elements of N along with all their multiples by powers of two) )/1np!Numbers and ColorsMu#Fun with Ferrers Diagrams  The power of pictures  Conjugation      !  Durfee Squarel Durfee Square5!A Beautiful Bijection By Bressoud"", 9!A Beautiful Bijection By Bressoud"", =A Boxing Bijection By Baxter  Definition: For positive integers m, k, an m-modular k-partition of n is a partition such that: There are exactly k parts The parts are congruent to one another modulo m `J" " " "  5?A Boxing Bijection By Baxter  q",Bijections with things other than partitions-- # mPlane Partitions'Weakly decreasing to the right and down((n9The number of plane partitions which fit in an nnn cube|:/((#(( # ((((/   0` 33` Sf3f` 33g` f` www3PP` ZXdbmo` \ғ3y`Ӣ` 3f3ff` 3f3FKf` hk]wwwfܹ` ff>>\`Y{ff` R>&- {p_/̴>?" dd@,|?" dd@   " @ ` n?" dd@   @@``PR    @ ` ` p>> f(    6  `}  T Click to edit Master title style! !  0  `  RClick to edit Master text styles Second level Third level Fourth level Fifth level!     S  0, ^ `  >*  0X ^   @*  00 ^ `  @*H  0޽h ? 3380___PPT10.fq@\{8 Default DesignM 0 d\ (  r  S P  r  S L `    `  c $A ??`@  `  c $A ??5 5  H  0޽h ? 33___PPT10i.fq08+D=' = @B +&  0 $V(  $~ $ s *h(P    $0 TA ? ?p   $0 ZA ? ?"6 ?0 H $D 0  $ 0A ? ?C"? p8 $D  0 $ 0A ? ?C"?@ 0 8 $D   0B  $ s *D ,$@  0B  $@ s *D,$@  0B  $ s *Dp,$@  0B $@ s *D,$D  0B $ s *Dp ,$@   0B $@ s *D pp ,$D   0~ $ 0S"`? ~ $ 0S"`? H $ 0޽h ? 33___PPT10h.fq@9}+D<' = @B D' = @BA?%,( < +O%,( < +Dt' =%(D' =%(D' =4@BBBB%())))?D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =%(D' =%(D1' =4@BBBB%(D' =-o6Bwipe(up)*<3<*$D' =1:Bhidden*o3>+B#style.visibility<*$%(D' ' =%(D< ' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* $%(D' =-o6Bwipe(up)*<3<* $D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* $%(D' =-o6Bwipe(up)*<3<* $D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* $%(D' =-o6Bwipe(up)*<3<* $D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-o6Bwipe(up)*<3<*$D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-o6Bwipe(up)*<3<*$D' =%(D' =%(D1' =4@BBBB%(D' =-o6Bwipe(up)*<3<*$D' =1:Bhidden*o3>+B#style.visibility<*$%(D' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-o6Bwipe(up)*<3<*$D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-o6Bwipe(up)*<3<*$D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-o6Bwipe(up)*<3<*$+?& 0 p '(    s *8!  p  ELet m be a partition of n into distinct parts Split each even part 2i into i+i Repeat this splitting process until only odd parts are leftz+>!L? 0 TA x? ?PPH x$D 0 !   s *A |? ? 0p8 |$D  0   s *A ? ?p  8 $D   0B  @ s *D `,$@  0B  s *D,$D  0B @ s *Dp @ ,$@  0B  s *Dp p ,$@   0B @ s *Dpp ,$@   0B  s *Dp@`p ,$D   0f  0"``  f  0"` P H  0޽h ? 33PH___PPT10(.fq@9}+*D' = @B D' = @BA?%,( < +O%,( < +D4' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =%(D' =%(D1' =4@BBBB%(D' =-o6Bwipe(up)*<3<*D' =1:Bhidden*o3>+B#style.visibility<*%(D' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bwipe(up)*<3<* D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bwipe(up)*<3<* D' =%(D' =%(D1' =4@BBBB%(D' =-o6Bwipe(up)*<3<*D' =1:Bhidden*o3>+B#style.visibility<*%(D' ' =%(D< ' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bwipe(up)*<3<* +  0 (B(  (r ( S "! `}  ! x ( c $"!  !  (0 NA 0? ?0 `  0 !n ( 0$! 0 The same splitting/merging process can be used, except you merge d-tuples in one direction and split up multiples of d in the other.L 2A3A<H ( 0޽h ? 33___PPT10i.oqs+D=' = @B +  0 0n(  0r 0 S <2! `}  ! x 0 c $3! 0 !  00 NA 1? ?P 1 ! 00 NA 2? ?0   2 !H 0 0޽h ? 33___PPT10i.pq]+D=' = @B + 0 Q8.(  8 8 c $B!`  ! GExamples of Euler Pairs2  `v  Q8 #""(j  ! 88 B4I! ?"`   U {1,2,4,8,...} @` 68 BY! ?"`  K{1} @` *8 <a!? v  @ @` )8 <j!? v  @ @` (8 Bl!?  Y{1,2,3,4,5,6,...} @` '8 B|!?  W{1,3,5,7,9,...} @` &8 <ԅ!? ` KM @` %8 <܎!?`  KN @``B -8 0o ?``ZB .8 s *1 ?ZB /8 s *1 ?`B 18 0o ?v v `B 28 0o ?`v ZB 38 s *1 ? ` v `B 48 0o ?`v ZB 78 s *1 ?   B8 0X!`0K T"Euler s Identity  2 C8 0 !  U#Uniqueness of binary representation$ 2$RB E8 s *D: : RB F8 s *DPpf L8 s *A9 8? ?~ P  8f M8 s *A: <? ?   <H 8 0޽h ? 33___PPT10i.qqm+D=' = @B +} 0 \$(  \r \ S \!> ! r \ S - `    H \ 0޽h ? 33___PPT10i.}r:*+D=' = @B +e8 0 y  (      s *!P`  ! ?Scarlet NumbersL c  # p  2 TA4 '? ?c ' !   04!  91 2$  0 TA (? ?0p@ ( !f   s *A5 )? ?gX P )f   s *A6 *? ?!. B R *f   s *A7 +? ?P +   0L   F+1( 2   0   F+1( 2   0!f  F+1( 2   0!4\ ^ F+1( 2   0@! D  F+1( 2F  f    fp r    0DU f  F+1( 2   0@U f  F+1( 2F  f    <N Pf   0< U f  F+1( 2   08! f  F+1( 2F  f      4   0 U f  F+1( 2   0U f  F+1( 2   0HU*4T +1+1+1` 2   0 U* +1+1+1` 2   0(U0 .Z  +1+1+1+1| 2   00UF rp   1+1+1+1+1 2   0:U0 |Z  51 2   0>U pp ,$ 0 9 2# f   0"`0H   0޽h ? 33$$___PPT10d$.q +iD"' = @B D!' = @BA?%,( < +O%,( < +D' =%(D' =%(D>' =A@BB BB0B%(D' =-o6Bdissolve*<3<* D' =1:Bhidden*o3>+B#style.visibility<* %(D>' =A@BB BB0B%(D' =-o6Bdissolve*<3<* D' =1:Bhidden*o3>+B#style.visibility<* %(D>' =A@BB BB0B%(D' =-o6Bdissolve*<3<* D' =1:Bhidden*o3>+B#style.visibility<* %(D>' =A@BB BB0B%(D' =-o6Bdissolve*<3<* D' =1:Bhidden*o3>+B#style.visibility<* %(D>' =A@BB BB0B%(D' =-o6Bdissolve*<3<* D' =1:Bhidden*o3>+B#style.visibility<* %(D1' =4@BB BB%(D' =-o6Bdissolve*<3<* D' =1:Bhidden*o3>+B#style.visibility<* %(D1' =4@BB BB%(D' =-o6Bdissolve*<3<* D' =1:Bhidden*o3>+B#style.visibility<* %(D1' =4@BB BB%(D' =-o6Bdissolve*<3<* D' =1:Bhidden*o3>+B#style.visibility<* %(D>' =A@BB BB0B%(D' =-o6Bdissolve*<3<* D' =1:Bhidden*o3>+B#style.visibility<* %(D>' =A@BB BB0B%(D' =-o6Bdissolve*<3<* D' =1:Bhidden*o3>+B#style.visibility<* %(D>' =A@BB BB0B%(D' =-o6Bdissolve*<3<* D' =1:Bhidden*o3>+B#style.visibility<* %(D>' =A@BB BB0B%(D' =-o6Bdissolve*<3<* D' =1:Bhidden*o3>+B#style.visibility<* %(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bdissolve*<3<* D' =%(D' =%(D1' =4@BB BB%(D' =-o6Bdissolve*<3<* D' =1:Bhidden*o3>+B#style.visibility<* %(+0+0+ 0 ++0+ 0 ++0+ 0 ++0+ 0 ++0+ 0 ++0+ 0 ++0+ 0 ++0+ 0 ++0+ 0 ++0+ 0 +_ 0 vnx(  x x s *UP`  U ?Scarlet NumbersL c x# p x2 TA4 ? ?c  U x 0(!  91 2$` x c $A ??`  H x 0޽h ? 33___PPT10i.q +D=' = @B +} 0 PT$(  Tr T S  ڒ>  r T S ڒ `    H T 0޽h ? 33___PPT10i.vqhI+D=' = @B +V  0 `r(  `r  ` S  U `}  U  `0 NA# ? ?0PW  U ` fA$Ferrers1"`9X  U ` nA%Ferrers1Conj"` @<$D  0 U `@ BLG/<HY ,$D  0 `0 TA ? ?TH $D 0 UH ` 0޽h ? 33  ___PPT10.vqW2+yD' = @B D' = @BA?%,( < +O%,( < +D~' =%(D' =%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*`%(D' =-s6Bwipe(left)*<3<*`D' =%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*`%(D' =-s6Bwipe(left)*<3<*`D4' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*`%(+  0 +#$l (  l l0 NA ? ?P  U  l hA&FSelfConj"`x;  UB  l s *DԔ@8 ,$D  0 l C *ASCHooked"`}@ ,$D  0 l 04UX 411 2 l 0xUX 411 2 l 00Xw 410 2 l 0UiXP 410 2 l 0UHX/ 410 2 l 0U)X 37 2 l 0UX 36 2 l 0UX  35 2 l 0U X  35 2 l 0tU X  35 2 l 0hU X  32 2Kl `  #l ` ,$D  0 l 0U`   421 2 l 0U@  419 2 l 0U0  415 2  l 0U  413 2 !l 0U `  411 2 "l 0U  33 2H l 0޽h ? 33` X ___PPT108 .vqP"+DD ' = @B D ' = @BA?%,( < +O%,( < +D' =%(D' =%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* l%(D' =-s6Bwipe(left)*<3<* lD' =%(D' =%(D1' =4@BB BB%(D' =-o6Bdissolve*<3<* lD' =1:Bhidden*o3>+B#style.visibility<* l%(D' =%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*l%(D' =-s6Bwipe(down)*<3<*lD' =%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*#l%(D' =-s6Bwipe(left)*<3<*#l+$  0   x (  x x0 TA ? ?ie}H $D 0  x pA)LongRectangle"`p <$@ 0  x |A*(LongRectangleHooked"`p* <$D  0  x 0tp W,$ 0 411 2 x 0Y @,$ 0 411 2  x 0A (,$ 0 411 2  x 0X!  ,$ 0 411 2  x 0<    ,$ 0 411 2l P 7  xP  7 ,$D   0  x 0$P 7  415 2  x 0(P 7  413 2 x 0T#pP 7  411 2 x 0P/p P 7  39 2 x 0h*P P 7  37 2f x s *A ? ?f# H x 0޽h ? 33___PPT10.vqW2+\éD' = @B DO' = @BA?%,( < +O%,( < +D' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*x%(D' =-g6B fade*<3<*xD' =%(D ' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*x%(D' =-g6B fade*<3<*xD8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*x%(D' =-g6B fade*<3<*xD8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*x%(D' =-g6B fade*<3<*xD8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<* x%(D' =-g6B fade*<3<* xD8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<* x%(D' =-g6B fade*<3<* xD8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<* x%(D' =-g6B fade*<3<* xD' =%(D' =%(D9' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*x%(D' =-u6Bwipe(right)*<3<*xD' =%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*x%(D' =-s6Bwipe(left)*<3<*x++0+x0 ++0+x0 ++0+ x0 ++0+ x0 ++0+ x0 +?/  0   2|0 ) (  |r | S XH `}    |0 NA0 ? ?` -H $D 0 j | C 4A'FerrersDurfee"`@   | C 2A-DurfeeSquare"`F ,$D 0  | C 2A.DurfeeBottom"`H@  ,$D  0  | C 0A+DurfeeRight"` ,$D  0 | C :A,"DurfeeBottomConj"`p ,$@  0ul  @ |@ ,$@  0 | 0TM p 5j 2T | C $A/ Brace@l 0(  |0( ,$@  0 | 60P( Fd" j$ 2!Z | S *A/ Brace0 z 0(  | 0  ,$D  0 | 0(U( Fd" j$ 2!T | C $A/ Brace0  |0 TA ? ?  H $D 0    | s *A ? ?"`p 0  $@ 0dM 2| c $A ? ?"` N  $@ 0dH | 0޽h ? 33:"2"___PPT10".wqNV+8D!' = @B D!' = @BA?%,( < +O%,( < +D4' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* |%(D' =%(D' =%(Dg' =4@BBBB%()))D' =1:Bvisible*o3>+B#style.visibility<* |%(D' =-s6Bwipe(down)*<3<* |D' =%(Dg' =4@BBBB%()))D' =1:Bvisible*o3>+B#style.visibility<* |%(D' =-s6Bwipe(down)*<3<* |D' =%(D' =4@BBBB%(D' =1:Bhidden*o3>+B#style.visibility<*|%(D ' =%(D' =%(D+' =4@BB1BB%()?)?D' =.G7 BBBBBYM 3.61111E-6 -1.11111E-6 L 0.10017 0.23889 *3>*B ppt_xB ppt_y=@0BBAApBBL=BJ=<* |D' =%(D' =4@BBBB%()?)?DZ' =."7 BBBBB[M -2.22222E-6 1.85185E-6 L -0.05 1.85185E-6 *3>*B ppt_xB ppt_y=0BBAA<* |D9' =4@BBBB%(D' =/u8BC*Q3> Br<* |Df' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D' =4@BBBB%(D' =1:Bhidden*o3>+B#style.visibility<* |%(DL' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*|%(DL' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*2|%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* |%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D4' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*|%(+v   0 0(<(  <x < c $k `}   t8  - < - <2 TA0 ? ?` -   <2 TA ? ?     < c $A ? ?"` p 0 x dM < c $A ? ?"` N x d < c $A ? ?`  8 $D 0H < 0޽h ? 33___PPT10.wqNV+c1D' = @B DU' = @BA?%,( < +O%,( < +D' =%(%(D' =%(D1' =4@BB*BB%()?)?D' =.M7 BBBBB_M 2.77778E-6 1.38728E-6 L 2.77778E-6 -0.47723 *3>*B ppt_xB ppt_y=@0BBAApBBBVt<*<D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*<%(D' =-g6B fade*<3<*<+0?  0 W O 0 (  x  c $Ts `}    0 TA ? ?P`'  z  C AF9 X ,$@ 0z  C AF8 " ,$@ 0z  C AF7 ,$@ 0z  C A F5` ,$@ 0z  C AF7 b ,$@ 0z  C A!F3@  ,$@  0z  C A F5>   ,$@  0z  C A"F1  ,$@  0z  C A"F1 8 ,$@ 0  0\zl,$@  0 417 2  0~l,$  0 415 2  0`o ,$ 0 412 2  0H0 ` ,$ 0 38 2  0 ` ,$ 0 32 2  0 ` ,$  0 CIndent the rows 2z  C AF8 z,$@ 0B  s *DԔ  @ ,$D  0H  0޽h ? 332y2___PPT10Y2.xqp+` =D1' = @B D0' = @BA?%,( < +O%,( < +DP' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =4@BBBB%())))?D' =1:Bvisible*o3>+B#style.visibility<* %(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =%(D<' =%(DE' =4@BB?BB%()))D' =.Q7 BBBBBcM -2.77778E-6 -4.62428E-6 L 0.05573 -4.62428E-6 *3>*B ppt_xB ppt_y=@0BBAApBB9<B<*D3' =4@BB?BB%()?)?D' =.O7 BBBBBaM 2.77778E-6 -4.62428E-6 L 0.05173 -4.62428E-6 *3>*B ppt_xB ppt_y=@0BBAApBB?<B<*D'' =4@BB?BB%())D{' =.C7 BBBBBUM 1.66667E-6 1.7341E-6 L 0.10312 0.00162 *3>*B ppt_xB ppt_y=@0BBAApBB33S=B5:<* D' =4@BB?BB%())Dm' =.57 BBBBBGM 2.77778E-6 0 L 0.09965 -0.00046 *3>*B ppt_xB ppt_y=@0BBAApBBL=Bֹr<*D3' =4@BB?BB%())D' =.O7 BBBBBaM 3.33333E-6 -3.33333E-6 L 0.15416 -3.33333E-6 *3>*B ppt_xB ppt_y=@0BBAApBBݝ=B<* D3' =4@BB?BB%())D' =.O7 BBBBBaM 3.33333E-6 -2.22222E-6 L 0.14843 -2.22222E-6 *3>*B ppt_xB ppt_y=@0BBAApBB}җ=B<* D!' =4@BB?BB%())Du' =.=7 BBBBBOM 0 -7.40741E-7 L 0.20208 -7.40741E-7 *3>*B ppt_xB ppt_y=@0BBAApBB=B<* D!' =4@BB?BB%())Du' =.=7 BBBBBOM 0 -7.40741E-7 L 0.19688 -7.40741E-7 *3>*B ppt_xB ppt_y=@0BBAApBB=B<* DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-s6Bwipe(left)*<3<*D' =%(D' =%(Dc' =4@BBBB%()))D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*++0+0 ++0+0 ++0+0 ++0+0 ++0+0 +'  0L0   ` (  x  c $ `}    0 TA ? ?P`'  F  C AF9 X F  C AF8  F  C AF8 F  C AF7. F  C A F5:. ` F  C AF7 $b F  C A!F3@ Z   F  C A F5>   F  C A"F1 z " F  C A"F1  RB  s *DԔ  @ z l   l ,$D   0  04l 416 2  0xl 412 2  04`o  36 2  0 0 `  411 2  0 `  39 2l l@  l@ ,$D   0  0hÎl@  T"Odd rows on top (decreasing order)# 2#  0$ǎ @  X&Even rows on bottom (decreasing order)' 2'H  0޽h ? 33___PPT10.xqp+w3qD`' = @B D' = @BA?%,( < +O%,( < +Dg' =%(%(D' =%(D' =4@BB+BB%()?)?D!' =.7 BBBBBM -1.66667E-6 -2.96296E-6 L 0.12552 -2.96296E-6 C 0.18177 -2.96296E-6 0.25104 -0.0243 0.25104 -0.04398 L 0.25104 -0.08727 *3>*B ppt_xB ppt_y=D0BB FfFFpBB>B333<* D' =4@BB+BB%()?)?D!' =.7 BBBBBM -1.66667E-6 -7.40741E-7 L 0.12552 -7.40741E-7 C 0.18177 -7.40741E-7 0.25104 -0.0243 0.25104 -0.04398 L 0.25104 -0.08727 *3>*B ppt_xB ppt_y=D0BB FfFFpBB>B333<* D' =4@BB+BB%()?)?D ' =.7 BBBBBM 0 -7.40741E-7 L 0.12552 -7.40741E-7 C 0.18177 -7.40741E-7 0.25104 -0.0243 0.25104 -0.04398 L 0.25104 -0.08727 *3>*B ppt_xB ppt_y=D0BB FfFFpBB>B333<* D' =%(D1' =4@BB*BB%()?)?D' =.M7 BBBBB_M 8.33333E-7 -2.22222E-6 L 8.33333E-7 0.12014 *3>*B ppt_xB ppt_y=@0BBAApBBBu=<*D3' =4@BB*BB%()?)?D' =.O7 BBBBBaM 1.11022E-16 3.33333E-6 L 1.11022E-16 0.12708 *3>*B ppt_xB ppt_y=@0BBAApBBBt=<*D' =%(D!' =4@BB#BB%()?)?Du' =.=7 BBBBBOM 0.25104 -0.08727 L 0.00208 -0.07755 *3>*B ppt_xB ppt_y=@0BBAApBBBI;<* D#' =4@BB#BB%()?)?Dw' =.?7 BBBBBQM 0.25 -0.08588 L -1.66667E-6 -0.07755 *3>*B ppt_xB ppt_y=@0BBAApBBB;<* D!' =4@BB#BB%()?)?Du' =.=7 BBBBBOM 0.25104 -0.08727 L 0.00209 -0.08171 *3>*B ppt_xB ppt_y=@0BBAApBBBa 6;<* D' =%(pD3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*+  0 :(  r  S Ԏ `}     S ڎ `  "p`PpH  0޽h ? 33___PPT10i.qP+D=' = @B +  0 P(  r  S Tv `}    0 NA( ? ?QpO  H  C AModPp 8 )2  )2   0lm)2 431 2   00 426 2   0Xe0L  421 2   0t0  416 2   0D{ 0b  411 2   0Do 0  36 2yl f    f ,$D  0  0\f 0  36 2  0   36 2  0\ Z  36 2  0H    36 2  0,   36 2  0T   36 2  0 @  425 2  0   425 2  0   415 2  08   410 2  0#   35 2  C *AModRightPp ,$D 0~  C "A2 Mod2Np ,$D  0H  0޽h ? 33  ___PPT10 .q ++ED} ' = @B D8 ' = @BA?%,( < +O%,( < +D' =%(D' =%(D9' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-u6Bwipe(right)*<3<*D~' =%(D' =%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-s6Bwipe(left)*<3<*D' =%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-s6Bwipe(left)*<3<*+ 0 d(  dr d S l.>  H d 0޽h ? 33___PPT10i.}rpA+D=' = @B +   0 #%D(  Dr D S 3 `}   r D S 3 `  )p p(  D #""VVVVp(  D <=?8 p(  B @` D <?? 8(  B @` D <A? (  B @` D <R? (  K1 @` D <ta?8|p  B @` D <tj?|8  B @` D <ts?|  B @`  D <|?|  K2 @`  D <h~?8&p| B @`  D <Ď?&8| K1 @`  D <̗?&| K1 @`  D <Ԡ?&| K3 @` D <ܩ?8p& K1 @` D <䲘?8& K2 @` D <컘?& K2 @` D <Ę?& K3 @``B D 01 ?`B D 01 ?( ( `B D 01 ?&`B D 01 ?pp&`B D 01 ?`B D 01 ?&|`B D 01 ?8`B D 01 ?8p`B D 01 ?p&p|`B D 01 ?| `B D 01 ?p|p `B D 01 ? ( `B D 01 ?p p( `B D 01 ?( ( `B D 01 ?( 8( `B D 01 ?8( p( V D C .APlanePart2X p0H D 0޽h ? 33___PPT10i.zr`:+D=' = @B +:  0 800 L(  L L ^APlanePart2D <$D 0  L C .APlanePart3@h ,$D 0  L C ,A3PlanePart4h ,$D 0"  L 0(ԘP ,$ 0 6The number of tilings of a regular hexagon by diamonds7(27("r L S ט `}   H L 0޽h ? 33___PPT10.{r:+jSD' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =-g6B fade*<3<*LD ' =%(D' =%(D)' =4@BB BB%(D' =-g6B fade*<3<*LD' =1:Bhidden*o3>+B#style.visibility<*L%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =-g6B fade*<3<*LD' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<* L%(D' =-g6B fade*<3<* LD' =%(D' =4@BBBB%())))?D' =1:Bhidden*o3>+B#style.visibility<*L%(D' =%(D' =%(D9' =4@BBBB%(D' =/u8C*Q3> Br<* LD#' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* L%(D' =%(D' =4@BBBB%(D' =1:Bhidden*o3>+B#style.visibility<*L%(+8+0+ L0 +HxXOA3He5ȡz0p!bLL`T5mXBwHp cb74 z0"Z*֐77o޼׭o<|e8 /cH\2!n_X,RTN԰o 6aL|f W^ vEVR}~|El/?RkKFw|*LCR=YoE:! 3Õu }ZJ%mnRq3} 4/eH -5Ȼ _p ɏCz?:0J]/^AjS}?TcM'zQCB=ssI͏GN#frQtQʔ-_UVu}\oװu:;2i[H8 P̞˥:7|pBИglxJLxev )m{Cbw99}JVhjONMy$7*o?rXE19swE-Y[h& s–|OR@ }# 랖UᱩK~JdEJ&%ǭi{mǸ;b^ϩ_W]VE&t8$js;㣹O2Lְ4(m^^mLQݼ/{wD!c"ceLl2}^ ui[#H|=$2t@nw;6X. c2-~9|ZH TƵ| )d#eQB?9BƑ5Ęn+K/uvݸ3xXMhI~U=t9F=PXVC{/. {t,B!S`58{~Dn? c#p;.弹~$L@L} $|m8\1m%N}AFm-\d8uN[ĵkA&'Zհ6e3oJĐM+Ocx9CtrŽ''Ctbn^gr{=yLM_3nw +T_5t1u :o7؍׾oϗcG2#;4O=Vs|plHoq]^}#m<Ccw o:iD w%-#\2 Sݞmp(2I>QYELs_0]]n[9L㝶Jo'&@(<]R@!<zD_SSf߸տRFB^asa]Ɣ.W9Gy$mi؅!@B&hci3vJ'3O"""e2{n\TH -pb U{{㤙I9;޹ݗ?Tџ@յ]m +'V֨IC^cE!&ax́U SLٞ3F4VjB63eˍt:t󑞕zQh!=/V/4RO"9Ǎl^EmTs-j yk kӅcgVjʡuJ3_4?z0u9ԃ?DMmEBϜh:vE?̧-X;+bsik+(1ZP;Q=3cfx`zLf3.ql7*%r| a!E/Y9qX{Zp_;;lYcL }1>;|6CF3CN#[Oiw; gQ:=8jnھ |!Mٖ@9<)y88!ǐn9Io6셭[O}7к,hv)9>Byq~|ʛF (ni~ްI?7~ e&cYh!wm]rgEtmہGn#_)]b_anQnQnQV EY9v2/v2/v26jWX/06Z4/V+h UQ{+}Ì̶]Vu~AsSܩI]-?1vD4޷{%JIS"):e[3f: 1P{}]@~'i1%+kBֈKɔSዙT,aP`IKiGQe=>ʞab|ؖ^Gro[3ngv]N6Iٽ ^쾙Ƃ3I{_Լ/j^5SjV@pQ,mUKL.\K NMI1TQY(|h,'ǚ∙$H}h__ >QPE,*(*b{gƍN p{~s _hhP*!P1ǐ \\.Ӕ\YEKzsh$=`sխ೴@=?:%r~^3ML?/o\])ct.w<9`/xH}("54 onalCLveʁ o17)!8G}Eп{/?yP};wq#&gu_ɏC?cUFk$fntPL=A BnZ?`!PxWNrsT-xϖGV0b*%ݑ!Gb\ȓk%T1+ CYTIEA~pɊ#f5#)|$w8FNCxgX|ؗL6\ߑF׻k~kn TWg]pכ t LWյ?&bB积BiٺOՔ9dDha I2e8ɒmepÿ6ym`ӚvelGE ġ1A#5$(dbE݈䫊pCT|E6R[gN>@uk]H=5RYչFcMJƺ.Jw{s"u.\o7]KWz}v~,b1:ROHgG &~E`I1j৶§Afԋ~| DYH1A2ZvOG!Ϻs+k9 Hy _7fƕ(mDbVOJҸnFヨU,QlXfBԊo(CLI_FQuBWSxMOQp[tG("rX BHI`0ZP=Hj"6b1gYxk#)=GqÄg-#}?*_r:O ɺyb{,{W]ܮCxzX s""%s SGxQ|L|<1U'?i%=eYFl X>k)%GK@k?{Ey?Vz:wl?ttf"Ww,.ډ^G~^D~7Dz_=^zRN znR(YβA xJ^TO6/҈|:_ӎ? >Ỵ%dmr#|94YGۺ݄Lt(3MՈ7kSeSZ\0ǣ1.!>*4_L-s>{C,d>uxGѠ'&w'7Z*vTxՅ6zd!Dam鲐k:-1&Y,1~O!+d7r9L0}7MRdSp&=:94HE\&]lۿZJnbir6r 3':sb)'D۔25V9E_F_P7na9a% mTGR0s8ZY賦U{;*El-#`i̴T@,ؓr_Яrb9gjHEmHӅH,PMsRTErVb2a=})w4&zyv\+hmX=eKGUx>X'^c9xWkY?4mAl$,EWEAbO`LtJI3SKeGAD|º.T݇}TsG2MkH*63sϝms(\ B^YӂP&E3DOFEg)PgM`9+LeM: 紶VtPRSPͧ>M@~T_]`GhiWV~? QW #/_IZ7'PՁ٨ry~>y'^9,&a{`Wqs.jA)YV,c;v G]NRz`0'ʫzwǼ{9!:;C8zsG_0Q[ )>օ?*BdGOQ&;QP6pqP7d%M'<`NhjV]nNDtIK7f khwhuDϣ{t2v<6xlqqTպNIK)Aa *MY٩SQ,;]:hB|̅B>lwS(~#|Vo)x_*pbJ%ŧbldS#ȧȮ 6}0Ođ-+\5&=1)__KrZΨ5_v@RC*brPUJ'[k>GN)=9={sBxXMlUv-Ih# ?J4B$DI/q։ul'QR8 !8VH WH5azん"$k2o{;y_|cj|}Ys(}+ԥ#iS8+ CER0ڡ;s:휊E5|ط_'g]nL=iOh|k{<C {3uÑuaF,5~ay 'S'?`tNM]ZPy} sz+EC=w:'&4 ׄBC0 3`a0X֔rR-ki3w;yYC,>{0T) m;؆u<$tCP?RSpEshz*O}^ Wqr"̴ ?=9{ Epz}vxCu!t܅,ʣͧdi:Ǯ\pQ/ 0~0y뒣!m[ZlV侰7/6M▦Vw.e"ne2DU:\a9Ҏ>KNAT.q{q2V|鷹%dnzۄ~cL<[roLK!#7ЮL;=)'Rɤ7=;󓸏X6rli5<;</̰,G/ďWYudiv'Wq0Ѿ)jQ6rS,e,Ya>Xe!ˏX~,/,?c9/X~MoS< tR|bCα\m+wQz:d vbuţ4ܩ{zXưg`EoNdڨ=gIW]fs6kζr,vfs(*ǏXG :Zʌ;iWƍSczQthߩj978[2u E;d=>Pmo:C ZVׅ?U o\/^U;^1} 2moYZ:v2<=C~i8nDk/IKj_Ǜ+Z7*P%ѫ#MVYl[NȽz~i ?+֬a?Gy&_h)G"xXMlE~3k':&&iM@(>$ )*PTD!nS+MqXQ BD qH[DT"*@U TjƻS4~x曟o?|\_%ςjX] /TeW !$dGaMi sCjՙ:c[bс3ɳWɚXd&` L$!*ѫ=q+f}6>rc5Si )7`weәXN^B ! nA9h`d*Sff44Zg7z/&T~==;W~34-V[cLuFXG玂֎n}&>|ϙX&d͹F2v>.zKi&g[FK!`(t3{ͬ;DHu *uoCo= ~1dKF)j[ZSVk}~{^f;1Phw1El}XaM0Sfܩ82W,OxA\=`~P--UxF`6_NT)ߝm⣬OkMN<$|_ͺ3VWbV!U*j|z ; 9>H8iqC9cS}̩/bľoȟ{X9IGp;CᦰeƗ>o[o ]m(lY0iO Wޖ7G ߏGfߟ!o]p3._Jw*yBqSZgjn~6?)gb?O?$_ʟ'ë+\}M7"IxYKlGN?o4cJ"^B qժ"8`–_(zCpJO 7襪-BBݙ}8 (cwg3f, >hhc:U[\.rB ?9 I,3P}z뜹er_|sX>k%Yߩ}{A6+6Ww9Wן4qb z& a(sQұvZ}ZO'3܍bq8XC)IhĿ= t*JԁMNt (v d_:W O t )oS@nUaJ>զ=jW߆, Oԇ!}΋y`-T^FwHߌX!p=\' X EΠZl7ʬ5bOZD8 l 1DÔkv .ʦ"9+4碩ipH@&I ն'rߴzK6¡+E`0M?~zgX>5G GmŘQq6p^Pԍ5Z!}&^<1P(2JJUT]H v75wkkE3 _@մ%_F.g?\8xjw#h]?ŝ~ -l×vRq]1NijO8ZacWyS7$XAG!_4sG6cVʡs8c9_0' tӛvM'Ti>}|fh~}{HՂ#_vFG>aJYe_ADvu$uSŔ_sĜ.L>4vww(s_jP̊SMDIaF%8jdB? 5zCR.%nkֲ=2szH)Mݮm5t,<<O:N&Wurcx~aⓒb;TTOh]tIɩ9*J{!|+*j̭ϦظF|Q#»⏈XI曜%ǧgVH/: Β}ۅ{Ǽo?h`-Ɣx*v~.v]a)v~]F.n#1mqcA]LL?~=Ҡ9p@0kkMWb1FM'WÃCdZ*f0~Zo.kΉY=< ^t=/y&"/%) DU3"+a1ԗF5"D`4V%jc7dfncyߢIl'EOf)wUM#%h[oM hb<xXMhG~3+Z5u'iq BLB@qCmeRi+0Ů=TJoC~!B)InJ JyovfewU y罙y̛V~pWW (D|2KYhHC4ڴODu;ѦFPFwjkSԋY/ȜzqAU[MV?~ϭ+ni#\QMYYȃժY߃-ۣP`s6ØfyeuA쿁m'nJid(U]j"+oZ;Qpk;7߂* '8aj?пA)5ᅫB;; ~oʩobÕ3K7{WF} cFѲORDjUH"BYuybxh!As fQ$` Gcbptf&k%,ǫKPw=,hCd`U1k/Ln~1|n,{>s_jP̊SMDIaF%8jdB? 5zCR.%nkֲ=2szH)Mݮm5t,<<O:N&Wurcx~aⓒb;TTOh]tIɩ9*J{!|+*j̭ϦظF|Q#»⏈XI曜%ǧgVH/: Β}ۅ{Ǽo?h`-Ɣx*v~.v]a)v~]F.n#1mqcA]LL?~=Ҡ9p@0kkMWb1FM'WÃCdZ*f0~Zo.kΉY=< ^t=/y&"/%) DU3"+a1ԗF5"D`4V%jc7dfncyߢIl'EOf)wUM#%h[oM hb"xYoE;v퍛q"J&"EI&jn]vH(N*q@C*A8p"ؼ7;5qFvIv7_o{fַuO@=2TkQ{$o8@DUkS_Ҷ`:Li Mប2bv ޶GnZZQ}رiC%^RI g_'`7ϡLÔ@}{$s(E GʧC>"߃=ڐ߉{.mozr?m_ ҧ߲|D;VȧuCVro7;]ٚ$J˪4̽ZVO,,e#@Gg2~p8 ݦLcG5N]nb?(o,I*$iV@`bzȔZ'r Yv]S^AyROv VO⪶9RKG2[A{z:O||vqJ9HoYc%yC%*!}R춹ڜ5W8-OV*W~[GXf{1PzWwԢFdbT-OKcg˕Lzi\ҏEز@Ȓ@nzi#Y~S&z~ޗPm,L]9gOLBgA{rr/ jE< Wu$;.\!;6h υh ։żQ#[YhMdȲcU l)S%U0LcO3lCxw~o</ zۧeii]( vF=pWC=,4ݥN߶!=rx]lUٶ KCj2`h1ԆF\tVmwYmVETTA[@E-[+6>Past%Mgs:w;O5L]6Ir=T,`&A]T**4/sJΰ/":/O6uBe*Wr(Ov~g[y 'ĸ|sy;c'NLibm.QɝF?MY^#<<ݳO(k/w')G-_e4ݳ@j Xu^A})@'{}EOpx~S~ 6e.%\\B%XI}PHt)霺,s[Q<Ҿ=KU4 Ӳ 2Ȏ,WPd&f3?*&,~:HrdLC ~w{S>iYp?<"2 *x| <_ooooGQp < ~~~ ~???___ 7dcxXKTA{>W]MKDFEDQFAn:tX7]]!!:vSF-S]"m˛|g;3̃'ma Nl  @\w1\e(ٽD{!/ &CSښ b?f:m|67BH±5eV}.JvPR[PI(\/~5Ю}NC: |-~j_+>K&v-R2V+q0A@b7E\S}tD9۷qsOk}^4˗9Q7сIo3COf]hP%hyIW禧LΪhj.lF`JD ㆁ$mYn4 H(aB3P,2~άݛ3>#SKIv\BߓDžV7]zKyF gzr~ iT/T{ArZ?1S'rHSyS@n\Ҵg?!>(tMErUѿQ;MS^\Re ay!5 T_\.SRntԋh0`,P>/ϔ(jFwsb즯r<ƞny$b?+0YLMgY{9un9+;vtU4=?VL7_n$iZĥJ["W a,к){o >Ki c|ذ(K^[23y{$'3i;Ҥ'UPvϭeYPH6xXOOA3[.Ֆj*!V\MiM$)\QLjhb[OF=\ FO?C{3kۈlM{3̛f'/F>B&Aj u2-ЧdZF" CWi#zRz J͡`g9Eۍn Qݳcmv唊&e $[5ۆ:SHg矁Uc nߏ)Z3js5ICHVwvhF%rky+ <=oD!s8SG@oStv[w_NO $7PTNF+'PxxV54]w1 wǡ,-{L7O>N}naY;*zSj,,H9BlXq^]~l{aDL ^#MYxべDayFrUZX$F,Y4L" /~+n#E@jw3b71N_a/gZ}"yH/q,x)dL?>&a߶sC(zx#$ŊJD,{8?/ ^.1_>Z+i ߉MǮ^Ga4twMwW:s[kfLhn=QHY# +Lܖ g`_9J'gxXOkA3k $ Ca H1 Q~`6ְIă@9yՋxzߛ?kF6(-73;ygׯ=z:zp hw0ǐfT_PcJgX,@?"Y{=?ߴ}A,O ђ sS4یj9C1kPTm&p6aC_@˰zP>@] PTm쿊;_ e`tBLcod /aT0dwWTZMی߉>7Q(Н3$RP{fZ;,cic۳@o@.M]{L7$ħ7B1J%Eq J y¼iMD`Z(YH oԜ0,:'m}a}CtT.Ԭln-|=RBR_;b;dL͇amڕ {+(H78>ќ[^0NćXyLgO $֝uMe)v@\hέ92urz~c mRYgg/1*νH^XaceydWdJ\.>qXIf[xXMhSAݗkiZJAZZ)zWbXO"h M x ED= b=UZ͠] 16gpr:(>*oLI 8xZ?ﳭ`o=dAFқT.LjxI[)CݭWԉ;nvjGW Y9,3+a5{,o.Qæ=+\"־~RT 3xXKTQ?3:))FE(06!)F89o:c2Qc-E D(՟`s!ehs}9~Gu=w~7wF $Sv1T. '@QLRTeAMmɆzTC E V @Șh>7ӫlSB. pF%2PjhN[0C.e*fDz<3񟏪eЯ mFYZ<԰QVP- [yȿo_)as?{=WGA< s=m{["t?V)G vwD:o_[xX CA|/s)D2w/'SIͺ93=*CN稪~¦kC>'w,T?Kx4Ra5r@` 'Kd&xPcgmd3w%iD[GW5B]zM F]ߏ.B@hRhI>T^aшUk=mԣ̏"=_zLۭǯ[]`gp6Fժo~ grC{JS~ve]1[f$LEA{0iX/¿V`~yn} XڿfDFr-=AM+'sk+ߗ&h\xXkA~3Ͷ` ZKePbH"T(ZAx34IۤxDTĻZ q&҂M j{316q,H~˰33ff7}zڝ`q _ASIUuB@U1H!yY]*[|!+3mC=93f)tt=vb)\fq0]'(߷Ӈxy.?; er|?23O~_^f0y$~)_ OVn/sn7`2Z?|+~K_^_]-kGnvoÕ&0xXOQ|t TBH\<HM0*, %lKi6^bDLDO7%QO7om-ҢBugپ~UUȢ A2eRKvd*2SESA/{lW%UCI FykߑN-3~K0 lZIJж$|/1EABVbfռf|W2/xg] F> P>3ȹ ǰa [Wݧwo!db LP aΆa01vrx o"  .O MB}{/`d i?wމyq2Ċ6P "&%6FL8.ϑvj$'EOzH=(XMbRIL|ovf[6)-73oޛ7ͣǶ @F3:ufIURs/Fg 2j'O"^OP'ZE?0==fgJov;~_ 0 p[•mfIM}_X۽ U RP{ j(>3 qk3/?k^/7+F91`]v &pW0O:o(STOo9YRyy>ƤހLjy lEϣ0tM+-t6;PK3?8_LOALYAJ{xn0f&oN}OSä1В 6!z҂\ռ,*(9N!j16&Bqa~YCQ 2(a%:.%0e+Wk+6E+o4%Rʅżc]\'[UױX#Y(|"a^bTMDK>>W$SseAO.|L6M1alJmM#B-kD23ÙZb;0KNmʹ` ZKbtM1D#(M\T&44f#'tB$(U+5CluJJ0s=ܙwooU E|ow0zxa4B F7wr)672Be`ۍk7K&b!\epN8 PVpp#2)O %\Wށ #J4OLQ H@ii(* hE exad؆!Nc"@wzdU=0Uaiv~:&ci26mgF>dTQx/D-)E%!D*FT`H`jP :3K Cފ 9{" q/\bN͚\>V[GR[|;ɤMLY6Ω뤯36s|]?'vu9%e76Xo LDƯT4.ݐ]kK._wjg0Lmw?:EseV5LϴfLr>)Y%Ct{3xXMl[EޮqVyZ4 *Ԕ)EIUuJQz@\Q$HHTJ9pHqRZhj?v$X뷳;3;?ޏ?t.ΫQ*G{BpX\.z #+~yxBF<'QtA̙e&9{n'vDz'jH .Czm!SO;d5Z]|OF<#qR׳| $7<]71nU񍈠AV- -O7PϚfv45ea?&;IvSGъ Lߋ"SBYV ܏fForn:h{>Fv: _ A[ gMq;_-ޑn= %fӹPJ9~d|]Ow6B _c~ڈCÀ]뒒B ޑT>Fɡ04?a6]*]xe2;{CSl;/K#LV;O~ %uxǿچt>wqvv7撽ɳ9p0c8ٌ=~n{a-EfrQ,e=ԋ66[&o<IJe[GVx`/8}ZKLFךAՠ7zj+ujjF뱸4(]Kޚ7o߃^ԿR6=Hl_1?xXMHTQ>7:G\e-"gi׳Fϙ1qARhV-*" ""& f:q1,)=y{={]yh/HaCZKW(pD2u Bmw٩K)S.tц']:|N&pF {"v y?CCIgZ<#_|K@>|gŲ|}]#m~BFuMroVf?}?Z몽癐1$&x`;U,$} ;1:s}PډUc~ND~DQj_Cd/y2,Aյ?*eg#Et&#OsN_|4!]; M\S旡idƾIBLg+!7?G,J6 :QoSR^Uq^|$g[ᒘ@ Z$梎G2{a3ȾT᣽D$ ŬA; ZM J[>Zhh=;Ǧ/*[S%Ta;~A|3V}rp;~ L粃sIȠ[*Ev ?Z\W~w63Xeȹ窂nNvz宂IN&*?ɯ RUBۯ Faan Pq!j5jqpWUxժ6o$5CR 7)v;v'x'@|B;(h.qSɗhua;::/7Έ$ץdSذ6|l miF|k;YWٲ"Ma/"oxXkAf6ͦb چ*R`֋9<4JۋDI0M_ AEċ=yz7K&bj똺Μq'LeӨͼH~(2jT&nn*,ZX$?\#~KepJ} 6ԿHO ^:7<7o~u?:׃`.!)o#n>H{̯bl~LŒ{E +TRL\ x eR^ڲwb!HQeY὘P9>&F;T"Q[;_n#\A|LiΖ\ iS1ߚB1fXJjŐ#%#=cgky ;CǴV>`s0ylM 3 kw{i~fWZP7ӕF^,DIgJb_O=+=>Nvama4f<>-wÃ_?_nx5=>}?h5xXKTQ?>Qx ʤH"h$&h34̨3*"Ҧmآr*Ed E69;yQ=;ύ =mYr4Hವ1L\U<nٖLRԤaJ@Dz!$$MaOim7BD؍wӓ/W6u ]t~'sn¿8cF7|@پ9UQ9&yľ'ש_SX'Tʝ)gpyr||վ!Pރ(QzaB?;iG^iht R2>4=R%۫e^+-@tcNҙF*kiΌ޶lɺF| !jZK$XJV5ɶZ>VzhBjZo%9Z?\RNP83}s Go3L&wp׎':u`i ]NDP-0$ )*PTD!nS+MqXQ BD qH[DT"*@U TjƻS4~x曟o?|\_%ςjX] /TeW !$dGaMi sCjՙ:c[bс3ɳWɚXd&` L$!*ѫ=q+f}6>rc5Si )7`weәXN^B ! nA9h`d*Sff44Zg7z/&T~==;W~34-V[cLuFXG玂֎n}&>|ϙX&d͹F2v>.zKi&g[FK!`(t3{ͬ;DHu *uoCo= ~1dKF)j[ZSVk}~{^f;1Phw1El}XaM0Sfܩ82W,OxA\=`~P--UxF`6_NT)ߝm⣬OkMN<$|_ͺ3VWbV!U*j|z ; 9>H8iqC9cS}̩/bľoȟ{X9IGp;CᦰeƗ>o[o ]m(lY0iO Wޖ7G ߏGfߟ!o]p3._Jw*yBqSZgjn~6?)gb?O?$_ʟ'ë+\}M7"xXMhSY>Ě׿4Z›CeQiDV.tg/4?Q rJt=0T\TAܩgg!s3/53/RJN8ܟs=WPCr%K2BʕJ J!Mj2+QHcRm*OZY˞u^Q MYB> rzg]F5*, ؍ 5Je vdCj}^@>WÓ!zSNd_92^}Rơ1A{J op5{`^W?}Ŭ_S@N:MV6vNA qzU.ЭYuXfBЩ4'O!sqd[1&E4$ 0dҚ6+;Pb:*tss29GJ#1{س\f5nb@md2'l2߳$N xL+咖+I~IȿRvYmЮ k&KSŔ]Ƭ75px!$#9=L==?-,J;ru-XE~IyzbEE'8:_s{:01㜊9qwQm/fkЍݣ<<<; 'n gOT} $ רO%۬'-'VQE)h lqba1Q5>Fa9jWi$j$,ּ+5Jge[lO$kF@~jw%ש5][7x}gh09pA陊ŔE5:VBZu<7n+@ȁaL ՋիZGPT>OqqvܺgUZ56R6r&7KwJyK / +XxXkA~3ۤ6"ւ^JCH(Cciz/}h9YrKY@\|cJ?ݡK2F\@6 9`o# %؀ <"Ɓy::}<=絡 7;/LOZ(vcw9Iعq@Uef-mV,2R`vt]W{L;0::QNPNwKNouva~_jX:̙2 u,=EQߘxjLꊵpIp7 !lM_6L=RF_k o9g*g4,Z1EO.K[ƪp/>|Aۅ}ƻ-n.I< K=\lڪTиuс>}ԠsM.JJ\0f*uJ`1lV\UO62ռYbqw&ݪbq4>)yJ/곐xKl[EpvŎ_Ӧ4i#P@"()IQ 8Р؎`Rp႐R8 2"$ЂD$Pb3vc; U=Λmȃ@@&Y`Q_&͚ V01% C<$]pr{.inVޭ~]^ TmIpYkZAάSʜ*l>q8 !|C0gK*kpKY[ &C;L3L'Q\PʜئĶ]/2l F[2/~,?Ro:mgN)s8^,# 7^ `o+Ff-ĦPb& uv#>$:ŭfkU< z q8:ګ .D&0WWA8@Dt+XWxSh5EM&CѽRNqQSD/H,tR雇Wt-&M N΃x.s`w FW=yӅEǯ~X?a"Bz`<;o:Hen%~ 8L h5akV2[>۔~P)/^mJ]?)v^7Fx7IޫiW ?I7_HdOFbwW_Om<6=UO_ҁ)=)wS ԓIPg'u+>9. d-zzMD b`, Eŕ^Lե&=jj$7GozJiO3)s $XSzo nGs>;.;e4{CX{r3H(;){viSNcW+^+ݧ=v&}.OHBIjj[.x]Q\xh'q)ɤ; f/嵊N:lԯ/?`;{ᴞ/|9=Z~CU`{, xXkh\E>37ͣynrHl!ڊF$YE7]%MI[C T?a~HP$TrEC[jŬsqdMɹ w̙93s9懟V z4XH 'BS˶D"M+ ZW!DwNSXܐm}s zQXȔ~2Ygǎ/nS9ʦC/ҙL:PTTRJl}_(OeL9+~Yr MI*ЏY7$߂,}ޠ2+p;1۝L?Ɵt9j.ǁdR1DCRMHN&!dh}ik*Ѧjvo: f>E:}2C} |CX1 =Y"У߰yD`XRkT@[?bWʑ?leoR. tō{@}a{@%' G#aknx?Bɗ|C; *[6IZ'~-G -=Umm"Co=EP/A~גe-BS}Nqs=]}EF(G>hE=xm7'+i4=޶\}Urc敗.^m|?(hk;Qe BAcGcJvXmӸn<<>ϼ>ٙcD&Ij)c I*Q3MY֊ `^zn;nOZ)y] > Yo>^"?,ROk X{nL"!/cstl揎={2CƹA9w.M2iÉ&nÉ&]mmD3ex!W+Nl(PtD8\ N܉z8qvEfa(dVbL:y#amm[D`E5Vgխ&OLږ<1.'$=D|iM-O4}Past%Mgs:w;O5L]6Ir=T,`&A]T**4/sJΰ/":/O6uBe*Wr(Ov~g[y 'ĸ|sy;c'NLibm.QɝF?MY^#<<ݳO(k/w')G-_e4ݳ@j Xu^A})@'{}EOpx~S~ 6e.%\\B%XI}PHt)霺,s[Q<Ҿ=KU4 Ӳ 2Ȏ,WPd&f3?*&,~:HrdLC ~w{S>iYp?<"2 *x| <_ooooGQp < ~~~ ~???___ 7dxWOhE3&%fMl$FM-شnH7[Ҕ DxҢ=AJ=y K/b* |_gIܵ[~y3͛yof:RFChbT*\ڢMEō6b6A 9paB2I`0ǫOJjVMYz? :! 2w~R< ^>YBnOS8ю#ROgwUg'.s=q~ӹ}+ʞߨwׁZxݢ' AF4AF/W.`sjmU+_'mfޝuf ȍې ʁQP9Lڑ;w wwV^xOz?m ,NLFaJ1s3 pG4D3J|a(Qg>/cn{h[Ɇb|aW"1ZSn0= l-I%UՐ5GC/vy a$+"S^I"䋚t]/ -qYOEbK'0 ݠXix>|QLh{? XlnlUUN~ɜ&z%mu\+}ni5}s!;>.wBXi ;y0ַ`GPXukAŵ]gC7 &?2xX Sx9Y ~r㘥~oh( (VXӉ;u*ק=|?L 4DכMg.}rkv)9eZY&>ǚݧ?_;Qĭ,.L@ƮSy3wċLPaPVeSHeK|)s%<6-AxSv S7igKwr_i0+~ۗ@#GdM`_Jd@ ӂPA9T"&;v {$r< ) 8B L- l`1ܒ6N: >6AFKO:4 ATv7X9=? \HafilobLruYy|Eec eϔ$ l;jp`ݪWѸ`u1Oh+'0T `h  Eulers IdentityAndrew BaxterAndrew Baxter21Microsoft Office PowerPoint@YVnp@7xgq@ph隂qGSg  )'    """)))UUUMMMBBB999|PP3f333f3333f3ffffff3f̙3ff333f333333333f33333333f33f3ff3f3f3f3333f33̙33333f333333f3333f3ffffff3f33ff3f3f3f3fff3ffffffffff3ffff̙fff3fffff3fff333f3f3ff3ff33f̙̙3̙ff̙̙̙3f̙3f333f3333f3ffffff3f̙3f3f3f333f3333f3ffffff3f̙3f3ffffffffff!___www4'A x(xKʦ """)))UUUMMMBBB999|PP3f3333f333ff3fffff3f3f̙f3333f3333333333f3333333f3f33ff3f3f3f3333f3333333f3̙33333f333ff3ffffff3f33f3ff3f3f3ffff3fffffffff3fffffff3f̙ffff3ff333f3ff33fff33f3ff̙3f3f3333f333ff3fffff̙̙3̙f̙̙̙3f̙3f3f3333f333ff3fffff3f3f̙3ffffffffff!___www՜.+,04    On-screen Show.h ArialTimes New RomanSymbolDefault DesignMicrosoft Equation 3.0Eulers IdentitySlide 2Slide 3A Generalization$Another Generalization: Euler PairsExamples of Euler PairsNumbers and ColorsScarlet NumbersScarlet NumbersFun with Ferrers Diagrams Conjugation Slide 12 Slide 13Durfee SquareDurfee Square"A Beautiful Bijection By Bressoud"A Beautiful Bijection By BressoudA Boxing Bijection By BaxterA Boxing Bijection By Baxter-Bijections with things other than partitionsPlane Partitions:The number of plane partitions which fit in an nnn cube  Fonts UsedDesign TemplateEmbedded OLE Servers Slide Titles%_㤾 0Andrew BaxterAndrew Baxter  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~Root EntrydO)PicturesfCurrent UserSummaryInformation(TPowerPoint Document(UȾDocumentSummaryInformation8